Special right triangles

Special Right Triangles

Answers

Answer 1

Answer: please find the attached files

Step-by-step explanation:

A unit circle formula and special triangle of 45, 30 and 60 degrees can be used to solve the problem.

Please find the attached files for the solution

Special Right Triangles
Special Right Triangles

Related Questions

what is the solution to the equation below log5(2x-3)=2

Answers

Answer:

14

Step-by-step explanation:

I just got it correct on a.p.e.x :)

The solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14

How to determine the solution?

The equation is given as:

[tex]\log_5(2x - 3) = 2[/tex]

Convert the equation to an exponential equation

2x - 3 = 5^2

Evaluate the exponent

2x - 3 = 25

Add 3 to both sides

2x = 28

Divide both sides by 2

x = 14

Hence, the solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14

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how many are 6 raised to 4 ???​

Answers

Answer:

[tex]\large \boxed{1296}[/tex]

Step-by-step explanation:

6 raised to 4 indicates that the base 6 has an exponent or power of 4.

[tex]6^4[/tex]

6 is multiplied by itself 4 times.

[tex]6 \times 6 \times 6 \times 6[/tex]

[tex]=1296[/tex]


[tex]2x {}^{2} + 10x - 72[/tex]
What is the factor ​

Answers

Answer:

2(x-4) (x+9)

Step-by-step explanation:

If x-a is a factor of polynomial x3-mn2-2nax+na2 prove that a=m+n and a is not = 0

Answers

Step-by-step explanation:

hope this helps

pls mark me brainliest

calling all brainly users

Answers

Answer:

The triangles are not similar

Step-by-step explanation:

We can see that TU and EU are equal in length but SU and DU are not hence they are not similar

Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 . What is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes Round your answers to the nearest tenth. The speed is equivalent to , or

Answers

Answer:

[tex]Speed = 159.4\ km/hr[/tex]

[tex]Speed = 2.6\ km/m[/tex]

Step-by-step explanation:

The question has missing details; However, the given parameters are

[tex]Speed = 99\ miles/hour[/tex]

Required

Determine the speed in

- kilometre per hour

- kilometre per minute

From the question; we have that

[tex]1\ mile = 1.61\ kilometers[/tex]

[tex]1\ hour = 60\ minutes[/tex]

[tex]Speed = 99\ miles/hour[/tex] can be rewritten as

[tex]Speed = \frac{99\ miles}{hour}[/tex]

It can be further expressed as

[tex]Speed = \frac{99\ *\ 1\ mile}{hour}[/tex]

Recall that [tex]1\ mile = 1.61\ kilometers[/tex]'

So;

[tex]Speed = \frac{99\ *\ 1.61\ kilometre}{hour}[/tex]

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

[tex]Speed = 159.39\ kilometres/hour[/tex]

[tex]Speed = 159.4\ km/hr[/tex] -- Approximated

Solving further to get kilometre per minute equivalent

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

This can be rewritten as

[tex]Speed = \frac{159.39\ kilometres}{1\ hour}[/tex]

Recall that [tex]1\ hour = 60\ minutes[/tex]; So,

[tex]Speed = \frac{159.39\ kilometres}{60\ minutes}[/tex]

[tex]Speed = \frac{2.5565\ kilometres}{minute}[/tex]

[tex]Speed = 2.5565\ kilometres/minute[/tex]

[tex]Speed = 2.6\ km/m[/tex] --- Approximated

Answer:

Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.

-Step by Step-:

-The speed of the car is given as  99 mi/hour.

Now, WE know that 1 Mile = 1.61 KM

Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.

⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour

Also, 1 hour = 60 minutes

⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min

1 7/16 - 1 1/6
Any step by step explanations? I need help.

Answers

Answer:

13/48

Step-by-step explanation:

1 7/16 - 1 1/6

Make improper fraction

23/16 - 7/6

Common Denominator

69/48 - 56/48

Subtract

13/48

Hope that helped!!! k

Answer:

13/48

Step-by-step explanation:

1 7/16=1+7/16

1 1/6=1+1/6

So: 1 7/16 - 1 1/6=

1+7/16-(1+1/6)=

1+7/16-1-1/6=

7/16-1/6= (48 common denominator)

(7×3-8)/48=

(21-8)/48=

13/48

Ken has 86 feet of fencing , to make a vegetable garden . Which design below will give ken the largest garden ?

Answers

Answer:it’s the top right box

Step-by-step explanation: what I did was I added 24+24 and 19+19 which gives you 86ft

Answer:It is left side 21ft and top 22ft Step-by-step explanation:

Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?

Answers

Answer:

4 and 34/63

Step-by-step explanation:

we know that he has to walk 8 and 2 thirds of an kilometer to school. so far he has ran 1 10/11 of a kilo.

To solve this you would have to divide 8 2/3 by 1 10/11.

you would have to make them into improper fractions so 26/3 divided by 21/11

your answer will be 4 34/63

Alan covers he distance by walking is   6+25/33 km.

what is distance?

distance is a scaler quantity which means it only have magnitude and no direction if any person or any thing moves from place A to B then it will show the distance between A and B

Given that Alan's school a distance is 8+2/3 km which is 26/3 km,

and he ran one and ten elevenths kilometers

means 1+10/11 = 21/11 km

and walks rest

let distance covered by walking be x

total distance for Alan school = distance covered by running + distance covered by walking

26/3 = 21/11 +x

x = 26/3 - 21/11

x = 223/33 = 6+25/33

Hence rest walking distance for Alan is 6+25/33

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Weather balloons burst at an altitude of 27.5 km. What is the altitude in meters?

Answers

Answer:

27500

Step-by-step explanation:

meters are 100 times more than kilometers hope this helps:)

If a+8√5b = (8+√5)÷(8-√5) + (8-√5)÷(8+√5)

Answers

Answer:

3 or at least i think

Step-by-step explanation:

Answer:

a= 138/59 - 8√5b B=69√5/1180 - a√5/40

Step-by-step explanation:

yuh

What is the value of x in the equation 3x-4y=65, when y =4 will give brainliest

Answers

Hello!

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given:

3x - 4y = 65 where y = 4;

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Hope this helped you! :)

Answer:

x=27

Step-by-step explanation:

3x-4y=65

Let y=4

3x - 4(4) = 54

3x -16 = 65

Add 16 to each side

3x -16+16 = 65+16

3x = 81

Divide each side by 3

3x/3 =81/3

x =27

Find the missing factor D that makes the equality true -15y^4=(D)(3y^2)

Answers

Answer:

[tex]D=-5y^2[/tex]

Step-by-step explanation:

We have the equation:

[tex]\displaystyle -15y^4=D(3y^2)[/tex]

And we want to find D such that the equation is true.

So, we can divide both sides by 3y². This will yield:

[tex]\displaystyle D=\frac{-15y^4}{3y^2}[/tex]

We can split this into:

[tex]\displaystyle D=\frac{-15}{3}\cdot\frac{y^4}{y^2}[/tex]

Simplify. Hence:

[tex]D=-5y^2[/tex]

3m-2-5n+p terms and coefficients

Answers

Answer: Answers are in the steps.

Step-by-step explanation:

The coefficients are 3, -5, and 1  

The terms are, 3m, -2,-5n and p

There are three squares inside the triangle . Find the area of the third triangle with steps , please

Answers

Answer: 49 cm^2

Step-by-step explanation:

The length of the small pink square box will be:

L^2 = 9

L = sqrt( 9 )

L = 3

The length of the big pink square box will be:

L^2 = 16

L = sqrt( 16 )

L = 4

The length of the yellow square box will be:

4 + 3 = 7

The area of the third square box will be

A = 7^2

A = 49 cm^2

What is the inverse of the function h(x)=5/2x+4 h^{-1}(x)=

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}[/tex]

Thank you.

If a and b are acute angles such that tan (a+b)= 1.73 and tan(a-b) =1/1.73, find a and b

Answers

[tex] \LARGE{ \underline{ \boxed{ \orange{ \rm{Solution:)}}}}}[/tex]

Given,

tan (a + b) = 1.73 [tex]\approx[/tex] √3tan (a - b) = 1 / 1.83 [tex]\approx[/tex] 1 / √3

To find:

Value of a and b in degrees....?

Solution:

☃️ Refer to the trigonometric table....

Then, proceeding

⇛ tan 60 ° = √3

⇛ tan 60° = tan (a + b)

⇛ 60° = a + b

Flipping it,

⇛ a + b = 60° --------(1)

And,

⇛ tan 30° = 1 / √3

⇛ tan 30° = tan (a - b)

⇛ 30° = a - b

Flipping it,

⇛ a - b = 30° ---------(2)

Now adding eq.(1) and eq.(2),

⇛ a + b + a - b = 60° + 30°

⇛ 2a = 90°

⇛ a = 90° / 2

⇛ a = 45°

Putting value of a in eq.(1),

⇛ 45° + b = 60°

⇛ b = 15°

☄ So, Our Required answers:

a = 45°b = 15°

━━━━━━━━━━━━━━━━━━━━

A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.
Answers
(A) 950 sq ft
(B) 986 sq ft
(C) 1,040 sq ft
(D) 1,068 sq ft

Answers

Answer:

Hey there!

1 gallon=400 square feet

2 3/8 gallon= 400 (2 3/8) square feet

2 3/8 gallon= 950 square feet.

Let me know if this helps :)

Write each fraction as a decimal and a percent. A) 7/8 B) 9/75 C/ 120/75​

Answers

Answer:

A) 0.875, 87.5%

B) 0.12, 12%

C) 1.6, 160%

Step-by-step explanation:

Answer:

A) 0.875, 87.5%

B) 0.001, 0.1%

C) 1.6, 160%

Step-by-step explanation:

I honestly just used a calculator, but it could also be solved using the butterfly technique. For percentages just move the decimal to the left two places.

Arjun has two denominations of coins. Two of the smaller denomination coins and three of the larger denomination coins have a value of $2. Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4. What denominations of coins does Arjun have?

Answers

Answer:

Smaller coin = s = $0.25 = 25cent.

larger coin = l = $0.5 = 50 cent

Step-by-step explanation:

Given the following :

Let the two coins be s and l

Where s = smaller denomination and l = larger denomination coins

Two of the smaller denomination coins and three of the larger denomination coins have a value of $2

2s + 3l = 2 - - - - (1)

Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4

2s + 7l = 4 - - - (2)

2s + 3l = 2 - - - (1)

2s + 7l = 4 - - - (2)

Subtracting both equations

3l - 7l = 2 - 4

-4l = - 2

l = 2/4

l = 0.5

Put l = 0.5 into (1)

2s + 3l = 2

2s + 3(0.5) = 2

2s + 1.5 = 2

2s = 2 - 1.5

2s = 0.5

s = 0.5 / 2

s = 0.25

Smaller coin = s = $0.25 = 25cent.

larger coin = l = $0.5 = 50 cent

What types of concurrent constructions are needed to find the orthocenter of a triangle? A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint B. intersection of the lines drawn to bisect each vertex of the triangle C. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side D. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex

Answers

Answer:

intersection of the lines drawn to bisect each vertex of the triangle

Step-by-step explanation:

trust

Help please Which is the equation of a trend line that passes through the points (3, 95) and (11, 12)? Round values to the nearest ten-thousandths. y = negative 10.375 x + 126.125 y = negative 0.096 x + 13.056 y = 0.096 x + 10.944 y = 10.375 x 63.875

Answers

Answer:

y = -10.375x + 126.125

Step-by-step explanation:

(12-95)/(11-3) = -83/8 = -10.375

y = mx + b

12 = -10.375(11) + b

12 = -114.125 + b

b = 126.125

y = -10.375x + 126.125

The solution is, y = -10.375x + 126.125,  is the equation of a trend line that passes through the points (3, 95) and (11, 12).

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

given that,

a trend line that passes through the points (3, 95) and (11, 12).

so, the slope is,

(12-95)/(11-3) = -83/8 = -10.375

now, we have,

y = mx + b

12 = -10.375(11) + b

12 = -114.125 + b

b = 126.125

so, we get,

y = -10.375x + 126.125

Hence, The solution is, y = -10.375x + 126.125,  is the equation of a trend line that passes through the points (3, 95) and (11, 12).

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PLZ HELP !!!!!! ASAP!!!

Answers

Part (a)

BC = opposite side (furthest leg from the reference angle)

AB = adjacent side (closest leg from the reference angle)

AC = hypotenuse (always opposite the 90 degree angle)

=============================================

Part (b)

i. False. Angle B is 90 degrees as shown by the square angle marker.

ii. False. Side AB is opposite angle C. Note how "C" is part of "BC", so that means we cannot have BC be opposite C.

iii. True. Leg AB is the closer leg to angle A. We have "A" in "AB" to see this without having to draw the diagram. Refer to part (a) above.

iv. False. The longest side of any right triangle is always the hypotenuse. The longest side of any triangle is always opposite the largest angle.

==============================================

Part (c)

cos(theta) = adjacent/hypotenuse = AB/AC

tan(theta) = opposite/adjacent = BC/AB

Refer back to part (a) to determine the opposite,adjacent and hypotenuse side lengths.

==============================================

Part (d)

The reference angle has changed, so the opposite and adjacent sides swap. The hypotenuse remains the same regardless of what reference angle you pick.

sin(C) = opposite/hypotenuse = AB/AC

cos(C) = adjacent/hypotenuse = BC/AC

tan(C) = opposite/adjacent = AB/BC

Note the tangent ratio is the reciprocal of what we found back in part (c).

Answer & Step-by-step explanation:

(a)

The hypotenuse is on line CA (the hypotenuse is always opposite the 90° angle (marked by a little square))

The adjacent is on the line BA (adjacent is next to the given angle, but NOT the hypotenuse)

The opposite is on the line CB (this is opposite the given angle)

(b)

i.   false (b is a right angle)

ii.  false (the side opposite C is BA)

iii. true

iv. false (the side opposite B is the hypotenuse, and the hypotenuse is always the longest side in a triangle)

(c)

cosine ratio: [tex]cos=\frac{adjacent}{hypotenuse}[/tex]

tangent ratio: [tex]tan=\frac{opposite}{adjacent}[/tex]

The cosine and tangent ratios of the given angle:

[tex]cos0=\frac{AB}{CA} \\\\tan0=\frac{CB}{AB}[/tex]

(d)

Remember SOH-CAH-TOA:

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

Using the angle C, plug in the appropriate sides:

[tex]sinC=\frac{BA}{CA}\\\\ cosC=\frac{CB}{CA}\\\\ tanC=\frac{BA}{CB}[/tex]

:Done

Help wanted ill do brainliest!!

Answers

Answer:

x=-1

Step-by-step explanation:

0.5 ( 5 - 7x ) = 8 - ( 4x + 6 )

- Distribute 0.5 by 5 and -7x

2.5 - 3.5x = 8 - ( 4x + 6 )

Second- Distribute the invisible one into 4x and 6

2.5 - 3.5x = 8 - 4x - 6

- Combine like terms: Subtract 6 from 8

2.5-3.5x= - 4x + 2

-Add 4x from both sides of the equation

2.5 + 0.5x = 2

-Subtract 2.5 from both sides of the equation

0.5x = 2- 2.5

0.5x = -0.5

-Then divide each side by 0.5x

0.5x  = -0.5

0.5      0.5

-Cancel the common factor of 0.5

x = - 0.5

      0.5

-Divide -0.5 by 0.5

X = -1

Rewrite the radical expression as an expression with rational exponents. fifth root of x to the power of 9

Answers

Answer:

[tex]x^\frac{9}{5}[/tex]

Step-by-step explanation:

[tex]\sqrt[5]{x}[/tex] is the same thing as [tex]x^{\frac{1}{5}}[/tex].

Now if we have [tex]x^{\frac{1}{5}}[/tex] to the power of 9, the exponents are multiplied.

[tex]x^{\frac{1}{5} \cdot9} = x^{\frac{9}{5} }[/tex].

Hope this helped!

find the number whose 13% is 65.​

Answers

Answer:

500

Step-by-step explanation:

A = the unknown number that we need to find

A x 13/100 = 65

=> A x 13 = 6500

=> A = 6500 / 13

=> A = 500

13% of 500 is 65.

Let's check whether the answer is correct or not.

=> 500 x 13/100

=> 5 x 13

=> 65.

So, the number whose 13% is 65 is 500

Answer:

Step-by-step explanation:

Let the number be x,

Then,

13% of x =65

Or, 13/100 of x =65

Or,x=6500/13

:.x=500

The average month end closing stock price for Company A over the past year is $34.57 with a standard deviation of $4.65. The average month end closing stock price for Company B over the same period is $26.15 with a standard deviation of $7.45. Based on this data, we can conclude that the stock price for Company A is more consistent when compared to the stock price for Company B.
a) true
b) false

Answers

Answer:

a) true

Step-by-step explanation:

$4.65. >$7.45.

Can you help me solve this problem & write my answer in simplest radical form.

Answers

Answer:

18

Step-by-step explanation:

30-60-90 triangles have a set of x values that you can plug your numbers into.

we know that the side length opposite to 30 is x

the side length opposite to 60 is xsqrt3

the side length opposite to 90 is 2x

from this we can gather that y=2x where x=9 therefore y=18

You want to build supports at each end of a table in the shape of a triangle. What type of triangle would you use to act as the supports: acute, right, or obtuse? Why?

Answers

Answer:

obtuse

Step-by-step explanation:

because obtuse triangle would provide more support that acute or right as its bigger.

when a 200 g solution A and 400g of saline solution B are mixed a 6% salt solution is created also when a 400g of saline solution A and 200g of solution B are mixed 7% salt is created find what percent concentration of saline and saline b solution are

Answers

Answer:

A = 8%, B = 5%

Step-by-step explanation:

Let

a=concentration of solution A (in percent)

b=concentration of solution B (in percent)

Given

2a+4b = 0.06*(2+4)  ...........(1)

4a+2b = 0.07*(4+2)  ...........(2)

2(1) - (2)

4a-4a +8b-2b = 6 (2*0.06-0.07)

6b = 6(0.05)

b = 0.05  .............(3)

Substitute (3) into (1) and solve for a

2a+4(0.05) = 0.36

2a = 0.16

a = 0.08

Other Questions
PLEASE HELP!!! WILL GIVE BRAINLIEST AND 20 POINTS!!! Triangles DEF and ABC are congruent. Which of the following sequences of transformations maps DEF onto ABC? ___________________________________________________________Sequence A --> A translation along the directed line segment DB, then a 90 rotation about point B. Sequence B --> A 90 rotation about point F, then a translation along the directed line segment FC. ___________________________________________________________ a) Only sequence A b) Only sequence B c) Both d) Neither**note: picture attached below.** Read this passage from Through the Looking-Glass.Then hand round the plum-cake, Monster, the Lion said, lying down and putting his chin on this paws. And sit down, both of you, (to the King and the Unicorn): fair play with the cake, you know!The King was evidently very uncomfortable at having to sit down between the two great creatures: but there was no other place for him.What a fight we might have for the crown, now! the Unicorn said, looking slyly up at the crown, which the poor King was nearly shaking off his head, he trembled so much.What is the relationship between the King, the Lion, and the Unicorn in this passage?The Lion envies the King and wants his ruling power.The Unicorn is uncomfortable with the Lion and the King.The King is nervous around the strong, ferocious animals.The animals are shy because the King wears the crown. Internal rate of return method The internal rate of return method is used by Testerman Construction Co. in analyzing a capital expenditure proposal that involves an investment of $149,630 and annual net cash flows of $45,000 for each of the six years of its useful life. This information has been collected in the Microsoft Excel Online file. Open the spreadsheet, perform the required analysis, and input your answers in the question below. Open spreadsheet Determine the internal rate of return for the proposal. Which identifies an aspect of Iroquois culture? PLLSSS HELP I'LL GIVE BRAINLIESTThe Iroquois included women in political agreements. The Iroquois were nomadic and lived off of the buffalo. The individual tribes were peaceful and never fought other tribes. The Iroquois built large mounds for religious purposes. 14. You bought shoes for $60. They were on sale for 40% off their original price.a. Write a proportion to solve for the original price of the shoes.ce tob. Solve the proportion in part (a). Old meristematic cells lose the capacity to divide and transform into ______ . Which preposition should be added to connect the sentence below? He could not tell the new chairs _______ the old ones. Question 8 options: a) by means of b) apart from c) according to d) This sentence does not need a preposition What is the volume of this rectangular prism? Complete the statement to describe the expression abc + defabc+defa, b, c, plus, d, e, f. The expression consists of terms, and each term contains factors. $10,000 for 20 years at 5% compounded annually After clamping a buret to a ring stand, you notice that the set-up is tippy and unstable. What should you do to stabilize the set-up 34. Pension gains related to plan assets occur when: A. The return on plan assets is higher than expected. B. The vested benefit obligation is less than expected. C. Retiree benefits paid out are less than expected. D. The accumulated benefit obligation is more than expected. I Why did Susan B. Anthony believe she had the right to vote? what is the radical of 572 PLZ HELP! Find the distance between the points A(13, 2) and B(7, 10). The distance between the two points is In the direction perpendicular to the drift velocity, there is a magnetic force on the electrons that must be cancelled out by an electric force. What is the magnitude of the electric field that produces this force A story dealing with a character fighting to stay alive while lost at sea would be an example of which type of conflict? All of the following are true statements except _____. |93| = 93 |93| = 93 |93| = 93 |93| = 93 Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 21, 14, 13, 24, 17, 22, 25, 12Required:a. Calculate the sample mean and the sample standard deviation.b. Construct the 90% confidence interval for the population mean.c. Construct the 95% confidence interval for the population mean HELP??? ------ In what fundamental way does one musical note differ from another?