If one angle of a triangle is 60°and the ratio of other two is 1:3,find all the angles and the ratio of the sides.​

Answers

Answer 1

Answer:

30, 90

1 : √3 : 2

Step-by-step explanation:

let the smaller angle be x

hence, the other angle = 3x

180-60=4x

4x = 120

x = 120/4 = 30

other angle = 3(30) = 90

the triangle is a 30-60-90 triangle,

hence the ratio of the sides are 1:√3:2

( short leg : long leg : hypotenuse )


Related Questions

23. What are the roots of the quadratic equation seen below?

f(x) = x? - 16x + 60

(A) x = 6, 10
(B) x =-6, 10
(C) x =- 10, 6
(D) x =- 10,- 6

Answers

D is the answer because -10 plus -6 will give you the middle number -16.

given m||n, find the value of x

Answers

Answer:

x = 155º

Step-by-step explanation:

y = 25°    {Vertically opposite angles}

x + y = 180    {Co-interior angles are supplementary}

x + 25 = 180

Subtract 25 from both sides

x = 180 - 25

x = 155°

what are examples of like terms

Answers

Answer:

7x and 2x. 3x^2 and -7x^2.

Step-by-step explanation:

7x and 2x both have x. 3x^2 and -7x^2 both have x^2.

Write down at least five number pairs to solve the equation vw = 50

Answers

Answer:

1, 50

2, 25

5, 10

10, 5

25, 2

Answer:

Step-by-step explanation:

V  W  

1 x 50     = 50

1.5 x 33 1/3 = 50

2 x 25     = 50

2.5 x 20     = 50

3 x 16 2/3 = 50

3.5 x 14 2/7 = 50

4 x 12 1/2 = 50

4.5 x 11 1/9 = 50

5 x 10     = 50

5.5 x 9     = 50

6 x 8 1/3 = 50

6.5 x 7 2/3 = 50

7 x 7 1/7 = 50

7.5 x 6 2/3 = 50

8 x 6 1/4 = 50

8.5 x 5 8/9 = 50

9 x 5 5/9 = 50

9.5 x 5 1/4 = 50

10 x 5     = 50

10.5 x 4 3/4 = 50

11 x 4 5/9 = 50

11.5 x 4 1/3 = 50

12 x 4 1/6 = 50

12.5 x 4     = 50

13 x 3 6/7 = 50

13.5 x 3 5/7 = 50

14 x 3 4/7 = 50

prove that the line x-y=0 bisect the line segment joining the point (1,6) and (4, -1)​

Answers

Step-by-step explanation:

x-y=0(l.6)-(4.-1)(6-4)-(1--1)2--2=0

The teacher's helper was putting cookies onto plates. He put 1 cookie on the first plate, 4 cookies on the second plate, 16 cookies on the third plate, and 64 cookies on the fourth plate. What kind of sequence is this?

Answers

Answer:

Geometric sequence

Step-by-step explanation:

A geometric sequence involves each number after the first one being multiplied by a specific number, called the common ratio.

This situation is a geometric sequence, where the common ratio is 4.

For example, there are 4 cookies on the second plate, 16 on the third, and 64 on the fourth. To get each number, the previous number is multiplied by 4.

So, this is a geometric sequence.

If he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,

It is given that the educator placed one cookie on the first dish, four cookies on the second, sixteen cookies on the third, and sixty-four cookies on the fourth.

Each number following the first in a geometric sequence is multiplied by a particular number, known as the common ratio. The common ratio in this situation, which is a geometric sequence, is 4.

The second dish, for instance, has four cookies, the third, sixteen, and the fourth, sixty-four. Each number is obtained by multiplying the preceding number by four.

Thus, if he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

Find the distance on the number line between 14.3 and 4.1.

Answers

[tex]\\ \sf\longmapsto 14.3-4.1[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{10}-\dfrac{41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143-41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{102}{10}[/tex]

[tex]\\ \sf\longmapsto 10.2[/tex]

Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.

Cost of Binders
On a coordinate plane, a graph titled Cost of Binders has number of binders on the x-axis and total cost in dollars on the y-axis. The line goes through points (0, 0) and (15, 22.5).

If all of the binders cost the same amount, which statement is true?
It will cost $12 for 18 binders.
It will cost $20 for 30 binders.
It will cost $42 for 28 binders.
It will cost $48 for 48 binders.

Answers

Answer:

It will cost $42 for 28 binders

Step-by-step explanation:

We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.

To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.

Applying this, we get

(15 binders)/15 = (22.5 dollars)/15

1 binder = 1.5 dollars

For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.

For 30 binders, this would cost 30*15=45 dollars

For 28 binders, this would cost 1.5 * 28 = 42 dollars

For 48 binders, this would cost 1.5*48 = 72 dollars

The only one that matches up is 28 binders for 42 dollars

Answer:

$42 for 28 binders.

Step-by-step explanation:

B

How many sides does a regular polygon with 45° exterior angles have?
Numerical answer only.

Answers

Answer:

8 sides (octagon)

Step-by-step explanation:

sum of exterior angles is always 360º

360 / 45 = 8 sides

Answer:

8 sides

Step-by-step explanation:

If all the angles of the polygon are the same, divide the angle by 360 and u get the answer.

A 3cm x 2cm rectangle sits inside a circle with a radius of 4cm
What is the area of the shaded region
round your final answer to the nearest hundredth

Answers

The area of the shaded region is 44.24\ cm^{2}44.24 cm2

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

step 1

Find the area of circle

The area of the circle is equal to

A=\pi r^{2}A=πr2

we have

r=4\ cmr=4 cm

substitute

A=\pi (4)^{2}A=π(4)2

A=16\pi\ cm^{2}A=16π cm2

step 2

Find the area of rectangle

The area of rectangle is equal to

A=(3)(2)=6\ cm^{2}A=(3)(2)=6 cm2

step 3

Find the difference

16\pi\ cm^{2}-6\ cm^{2}16π cm2−6 cm2

assume

\pi=3.14π=3.14

16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2

What is the surface area of a cylinder with base radius 4 and height 7?

Answers

Answer:

To find the surface area of a cylinder you need a specific formula.

The formula to finding the surface area is

[tex]A=2\pi rh+2\pi r^2[/tex]

2 x pi x 7 + 2 x pi x 4 squared

144.513262065 would be the specific answer.

I need help I need help

Answers

Answer:

[tex]{ \boxed{ \bf{c}}} \: \: \frac{3.8}{4} = s[/tex]

Step-by-step explanation:

[tex]{ \tt{4 \: pies \: = \: 3.8 \: ounces}} \\ { \tt{1 \: pie \: = \: ( \frac{1}{4} \times 3.8) \: ounces}} \\ { \tt{ = 0.95 \: ounces}}[/tex]

[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]

Which statement explains the type of function that is represented by the equation
y=x2 + 9?

Answers

Slope form
Algebraic equation

What is the range for the following
numbers?
5, 1, 12, 3, 4, 2, 10

Answers

Answer:

11

Step-by-step explanation:

Find the range by calculating the difference between the smallest and largest numbers in a set.

The smallest number is 1, and the largest number is 12.

Find the difference:

12 - 1

= 11

So, the range is 11.

Answer:

11

Step-by-step explanation:

1,2,,3,4,5,10,12

Range is lowest value subtracted from highest value so: 12 -1 = 11

answered by g a u t h m a t h

Brian scored 120 on his test the first time he took the test. The second time he took the test,
he scored 150. By what percentage did Brian increase his score?
a. 20%
b. 25%
c. 80%
d. 125%

Answers

Answer:

b. 25%

Step-by-step explanation:

(new - old)/ old * 100%

150 - 120 = 30 ... 30/120 = .25 * 100% = 25%

Answer:

25% increase

Step-by-step explanation:

Take the new amount and subtract the original amount

150-120

30

Divide this by the original amount

30/120

1/4

.25

Multiply by 100%

25%

indentify the explicit function for the sequence in the table ​

Answers

Answer:

Option B

a(n) = 8 + (n-1) • 6

Answered by GAUTHMATH

Calculate the area of each shape​

Answers

Answer:

a) 3x² + 7x + 2

b) 4x² + 2x - 12

c) x² + 8x + 12

d) π (16x² + 144)

Step-by-step explanation:

a) Rectangle

A = bh

A = 3x + 1 (x + 2)

A = 3x² + 6x + 1x + 2

A = 3x² + 7x + 2

b) Parallelogram

A = bh

A = 2x + 4 (2x - 3)

A = 4x² + (-6x) + 8x + (-12)

A = 4x² + 2x - 12

c) Trapezoid

A = a + b/2 (h)

A = [(x + 3) + (x + 9)]/2 (x + 2)

A = (2x + 12)/2 (x + 2)

A = x + 6 (x + 2)

A = x² + 2x + 6x + 12

A = x² + 8x + 12

d) Circle

A = πr²

A = π (4x + 12)²

A = π (16x² + 144)

This will be you're simplest answer unless you multiple 16x² + 144 times pi (π) and round.

Find the measure of each angle indicated.
A) 25°
C) 35°
B) 45°
D) 40°

Answers

Answer:

here's the answer to your question

Answer:

D) 40

Step-by-step explanation:

To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.

Write 0.0406 in scientific notation.

Answers

Answer:

4.06×10^-2

hope that helps uh..☺

Answer:

Ans; 0.0406 = 4.06 ×10–²

Find the value of the expression x3−y3+x2+y2+3 by substituting x=−2 and y=1.

Answers

[tex]\\ \sf\dashrightarrow x^3-y^3+x^2+y^2+3[/tex]

[tex]\\ \sf\dashrightarrow (-2)^3-(1)^3+(-2)^2+(1)^2+3[/tex]

[tex]\\ \sf\dashrightarrow -8-1+4+1+3[/tex]

[tex]\\ \sf\dashrightarrow -9+8[/tex]

[tex]\\ \sf\dashrightarrow -1[/tex]

Answer: -1

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

x = -2

y = 1

Given expression

x³ - y³ + x² + y² + 3

Substitute values into the expression

=(-2)³ - (1)³ + (-2)² + (1)² + 3

Simplify exponents

=-8 - 1 + 4 + 1 + 3

Simplify by simple operation (addition/subtraction)

=-9 + 4 + 1 + 3

=-5 + 1 + 3

=-4 + 3

=[tex]\boxed {-1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Factories (x+2y)^3+(x-2y)^3
With full explanation

Answers

Answer:

[tex]\boxed{=2x(x^2+6y^2)}[/tex]

Step-by-step explanation:

Remember:

[tex](a+b)(a-b)=a^2-b^2\\\\a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\(x+2y)^3+(x-2y)^3\\\\=(x+2y+x-2y)((x+2y)^2-(x+2y)(x-2y)+(x-2y)^2)\\\\=2x(x^2+4xy+4y^2-(x^2-4y^2)+x^2-4xy+4y^2)\\\\=2x(x^2+6y^2)\\[/tex]

96 Children are on a school trip, there
are 7 seats in a mini bus. How many
mini bus are needed?

Answers

14 mini buses but there will be 1 seat open

Solve for ggg.
-3+5+6g=11-3g−3+5+6g=11−3g

Answers

Answer:

-3 + 5 + 6 g = 11 - 3 g - 3 + 5 + 6 g = 11 - 3 g

6 g + 2 = 3 g + 13 = 11 - 3 g

 

{g = 11/3, g = 1, g = -1/3}

{3 g = 11, g = 1, 3 g + 1 = 0}

{3 g + 13 = 2 (3 g + 1), 11 - 3 g = 2 (3 g + 1), 11 - 3 g = 3 g + 13}

Full working out for this question please.

Answers

Answer:

d 28.8cm2

Step-by-step explanation:

1/2BH

1/2() 12.8() 4.5

28.8

when Rons truck was full, it weighed 7.5 tons. The weight he carried at that time was 3.25 tons. How many tons does Ron's truck weigh when it is empty?

Answers

7.5-3.25=4.25 tons.

The truck weights 4.25 tons.

Check with other answers, although I'm pretty sure its correct.

Heart if helpful :D

please help, will give brainliest!!!

Answers

Answer:

≈ 0.19

Step-by-step explanation:

So first, we find the probability of getting 1 yellow marble (the formula is the number of amount of type over the total number of items), which is:

10/(6+10+5+1)

= 10/22

= 5/11.

So getting a yellow marble on the first try is 5/11 likeliness.

Now, for the second one, we do the same except that you are NOT putting it back into the bag, which means we have to subtract the yellow marble you already took AND ALSO ONE FROM THE TOTAL AMOUNT OF YELLOW MARBLES.

To find the probability of getting the second marble, our equation is:

9/(6+9+5+1)

= 9/21

= 3/7.

Lastly, to find the probability of getting them both consecutively, we multiply the two results.

5/11 * 3/7

= 15/77

≈ 0.19

I hope this helped! :D

working alone, aliyah can dig a 10ft by 10 ft hole is 6 hours. one day her friend eugene helped her and it only took 3.75 hours. how long would it take eugene to do it alone? disclaimer: the answer is 11.95 hours, but i keep getting 10. please use the 1/x+1/y=1/z strategy

Answers

Answer:

I think the answer is 10 hours

the 11.95 seems wrong

Step-by-step explanation:

[tex]\frac{1}{6} + \frac{1}{y} = \frac{1}{3.75}[/tex]

multiply by 22.5 y

3.75 y + 22.5 = 6y

y = 10

find the area of the right triangle

Answers

Answer:

the area of right angle is 1.5×2.5=3.75

Answer:

1.5 units^2

Step-by-step explanation:

If we say that the missing side is x, we can use the pythatgorean theorem to find it.

1.5^2 + x^2 = 2.5^2  =>  2.25 + x^2 = 6.25  =>  x^2 = 4  =>  x=2

The area of a triangle is hieght * base * 1/2 => 1.5 * 2 * 1/2 = 1.5

Geometry, please answer my question ASAP

Answers

Answer:

98 degrees

Step-by-step explanation:

The angles of a quadrilateral add up to 360 degrees, therefore:

(25x+1)+(25x-2)+(20x-1)+82=360

70x +80=360

70x=280

x=4

the angle at C:

25*4-2 = 98 degrees

8. What is the solution to 4(1/2x+7)=12?

Answers

Answer:

x=-8

Step-by-step explanation:

4(1/2x+7)=12

Divide each side by 4

4/4(1/2x+7)=12/4

(1/2x+7)=3

Subtract 7 from each side

1/2x+7-7=3-7

1/2x = -4

Multiply each side by 2

1/2x*2 = -4*2

x = -8

Answer:

-8

Step-by-step explanation:

Divide both sides by 4 which will give you 1/2x+7=3

Then multipy both sides by 2 which will then give you x+14=16

Then move the constant = x=6-14

6-14 is -8 which will give you x=-8

Other Questions
Which detail from "The Monkey's Paw" most clearly helps create tension? Which of the following displays cannot be used to compare data from two different sets? Which expression is equivalent to 3(x - y) + y? 3x - 4y 3x - 3y 3x - 2y 3(x - 2y) Fine FG , given that line HF is perpendicular bisector or EG If p =(3x+1) and q = ( 3x-1),show that : pq+1 =x2 PLEASE HELP WILL GIVE BRAINLEST Analyze the given diagram of the carbon cycle below.An image of carbon cycle is shown. The sun, a cloud, two trees, one on the left and the other on the right, an animal, lake, and a factory are shown in the image. An arrow is shown from the sun towards the left tree marked A. The sun is marked B. There is an arrow from the air above the clouds, marked C, towards the left tree. An arrow from a location close to the ground marked D points towards Dead Organisms, which is a label under the animal. An arrow marked E points from the right tree straight up to the clouds. An arrow marked F points from the animal straight up to the clouds. An arrow marked G points from the factory towards the air above the clouds, C. There is an arrow pointing from the air to the lake labeled Carbonates in Water, an arrow pointing down from dead organisms to Fossils and Fossil Fuels, and an arrow from Fossils to the factory.Part 1: Which compound does C represent?Part 2: Name a process that could release this compound into the air.Part 3: Explain how the elements that form it are conserved during the carbon cycle. Use complete sentences to explain your answer.Justify how this compound was created from a recycling of carbon in the carbon cycle. Use complete sentences to explain your answer. The blue dot is at what value on the number line? what are the 4 pairs of DNA bases that form in the double helix? If someone cannot speak or use and alternative communication its nearly impossible to discover his or her preferences regarding personal care routines What number can go in the box to make the number sentence true?6 + 0 = 100.4.6.10. rearrange the jumbled sentences into a perfect sentence .2.1 cultural/ of the/ anticipated/carnival/ festival/hornbill/ most/ is/Nagaland/ the use a double angle or half angle identity to find the exact value of each expression what is the solution to this equation?5x-4+3x=36A. x=16B. x=5C. x=20D. x=4 Fraces bonitas para decirle a tu nv?minimo 6 if person is male their username is the last 3 letters of their surname and the first 2 letters of their first name if a person is female their username is the first 3 letters of their first name and the last 2 letters of their last name. write an algorithm to output a username (Could you answer in Python pls) In which nation did a U.S.-supported dictatorship "disappear" up to 30,000people?A. AfghanistanB. GuatemalaC. ArgentinaD. Chile You and a friend decide to take a road trip. You drive an average speed of 70 mph and your friend drives an average of 75 mph. You want to drive at least 500 miles per day. You also plan to spend no more than 10 hours driving each day. Which of the following is a system of linear inequalities that represents this situation? Let x = number of hours you drive and let y represent the number of hours your friend will drive. Which is another word for 10 meters in the metric system? Peabody Company owns 90% of the outstanding capital stock of Sloane Company. During 2014 and 2015 Sloane Company sold merchandise to Peabody Company at a markup of 25% of selling price. The selling price of the merchandise sold during the two years was $42,400 and $24,000, respectively. At the end of each year, Peabody Company had in its inventory one-fourth of the goods purchased that year from Sloane Company. Sloane Company reported net income of $29,300 in 2014 and $35,300 in 2015. Required:Determine the amount of the noncontrolling interest in consolidated income to be reported for 2014 and 2015. i will brainliestavoid spamExpress each of the following percentages as a fraction and simplify it.(i) 25% (ii) 40% (iii) 16% (iv) 150%(v) 120% (vi) 58% (vii) 32% (viii) 175%