Solving right triangles

Answers

Answer 1

Answer:

i can see the actual question, what is it?

Answer 2

In right triangles one of the angles will always be 90 degrees.

So if you had a right triangle with one right angle, a number, and a number, they always have to add up to 90 degrees as well, because a triangle is always 180 degrees

so  

side a = 90side b = xside c = yx + y = 90x + y + 90 = 180

Related Questions

Which is the correct slope-intercept equation for a line that passes through the points (1,-3) and (-3,17)

Answers

Answer:

[tex]y=-5x+2[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (1,-3) and (-3,17)

[tex]=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5[/tex]

Therefore the slope of the line is -5. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-5x+b[/tex]

Plug in one of the given points and solve for b

[tex]-3=-5(1)+b\\-3=-5+b[/tex]

Add 5 to both sides of the equation to isolate b

[tex]-3+5=-5+b+5\\2=b[/tex]

Therefore, the y-intercept of the equation is 2. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+2[/tex]

I hope this helps!

Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.

Answers

Answer:

4X+5

Step-by-step explanation:

Dan : X

Harry: X+5

Regan: 2X

X+X+5+2X

Answer:

[tex]Mean = \frac{4x + 5}{3}[/tex]

Step-by-step explanation:

Given:

Dan sold = x

Harry sold 5 more than Dan, that is = x + 5

Regan sold twice as Dan = 2x

[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]

Determine the number of solutions for the equation shown below.
X = X-9
A. 1
B. 2
C. 0
D. Infinitely many

Answers

Answer:

The equation has 0 solutions (answer C).

Step-by-step explanation:

Starting with x = x - 9, we subtract x from both sides.  This leaves us with:

0 = -9,

which is never true.

The equation has 0 solutions (answer C).

Which of the following are interior angles in the figure below?

Answers

Answer:

C

Step-by-step explanation:

The interior angles means the angles inside the triangle

the answer is c
hope that helps

hi i need help with this algebra vocabulary please

Answers

Answer:

slope

Step-by-step explanation:

The slope is the rise divided by the run

Answer: The slope.

Step-by-step explanation: That's what I think.

y= x+4 what is the answer?

Answers

Answer:

x = y − 4

Step-by-step explanation:

y=x+4

Step 1: Flip the equation.

x+4=y

Step 2: Add -4 to both sides.

x+4+−4=y+−4

x=y−4

Answer:

x=y−4

The answer is x+(8-7)

(write and solve an algebraic equation to find the measure of each angle based on the given description.)
***11. Two angles form a linear pair. The measure of one angle is 24° more than the
measure of the other angle.

Answers

Answer:

The angles are 78° and 102°.

Step-by-step explanation:

Let the one angle is y and the other number if y + 24.

The sum of the angles of the linear pair is 180°.

So, according to the question

y + y + 24 = 180

2 y = 180 - 24

2 y = 156

y = 78°

So, one angle is 78° and the other is 78° + 24° = 102°.

One floor is randomly taken from a
vase containing 5 red flowers,
2 white flowers, and 3 pink flowers.
Find the probability of taking a red
or a pink flower.

Answers

First count the total flowers. 10 total, that is you bottom number or denominator. 5 red + 3 pink = 8
8/10 or 8 out of 10 chance.
Both numbers are divisible by 2.
8/2= 4 & 10/2= 5
4/5 chance in picking red or pinks flowers. You have an 80% chance which are pretty high odds.

the trapezium is drawn on a centimetre grid

Answers

Answer:

21 cm²

Step-by-step explanation:

Applying,

A = (a+b)h/2............. Equation 1

Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.

From the diagram

Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)

Substitute these values into equation 1

A = 3(5+9)/2

A = 3(14)/2

A = 3×7

A = 21 cm²

A sample of a radioactive isotope had an initial mass of 120 mg in the year
2010 and decays exponentially over time. A measurement in the year 2015
found that the sample's mass had decayed to 50 mg, What would be the
expected mass of the sample in the year 2018, to the nearest whole number?

Answers

Answer:

2015-2010=5

50÷5=10

120-50=70

2017-2015=2

2*10=20

70-20=50mg

2018=50mg

Please please help with this no links please

Answers

Answer:

f/9

Step-by-step explanation:

n + 5/5 = f + 9/9

do cross multiplication

5(f+9)=9(n+5)

5f+45=9n+45

5f=9n+45-45

5f=9n+0

f/9 = n/5

Find mZA and mZB.
Please help :)

Answers

Answer:

Angle A: 28 degrees

Angle B: 24 degrees

Step-by-step explanation:

Hi there!

The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:

[tex]4y-4+3y=52[/tex]

1) Solve for y

[tex]4y-4+3y=52[/tex]

Combine like terms

[tex]7y-4=52[/tex]

Add 4 to both sides to isolate 7y

[tex]7y-4+4=52+4\\7y=56[/tex]

Divide both sides by 7

[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]

Therefore, y is equal to 8.

2) Solve for angles A and B

Angle A:

[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]

Angle B:

[tex]3y\\=3(8)\\=24[/tex]

I hope this helps!

The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake?​

Answers

Answer:

$1.50

Step-by-step explanation:

25% of 6 is basically just 6/4, which is 1.5.

This is money we're talking about, so the answer is $1.50

The graph represents the piecewise function:
f(x)= { __, if -1 ≤ x ≤ 1; __, if 3 ≤ x ≤ 5 }

Answers

Answer:

4, x-1

Step-by-step explanation:

The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.

The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

The first piece of this function goes from -1 to 1.

Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

so, we have,

The second piece of this function goes from 3 to 5.

This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.

Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).

When putting this equation together we get x-1 being the second part.

Hence, The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

To learn more on graph click:

brainly.com/question/17267403

#SPJ7

find the height x of the tree

Answers

i think either might be a or b

Answer:

19.8 m

Step-by-step explanation:

To find the height of the tree, we can use the trig ratio tangent:

θ = angle, h = height

tan θ [tex]= \frac{opposite}{adjacent}[/tex]

tan 33° = h / 30.5

h = (tan 33°)(30.5)

h = (0.6494)(30.5)

h = 19.8 m

During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?


I got two answer when I solved it but I’m not sure which one is correct

Here what I got

For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5

I’m not sure if I’m correct or which is the right answer can someone expían ?

Answers

Answer:

profit(n) = n * .50

Profit(10) = 5.00

Step-by-step explanation:

Profit = amount of candy bars sold * profit per candy bar

profit(n) = n * .50

Let the number of candy bars sold be 10  ( n=10)

Profit(10) = 10 * .50

               = 5.00

When you added you only added 9  .50 terms which is why you only got 4.50 for your answer.

Evaluate.



−8125−−−−√3




−425​

−25

425​

​25​

Answers

Answer:

-2/5

Step-by-step explanation:

( -8/ 125) ^ 1/3

We know (a/b) ^ 1/3 = a^ 1/3  / b^1/3

( -8) ^ 1/3  / ( 125) ^ 1/3

Rewriting

( -2^3) ^ 1/3  / ( 5^3) ^ 1/3

We know that a^b^c = a^(b*c)

-2^(3* 1/3)  / 5^(3 * 1/3)

-2 / 5

Answer:

-2/5

Step-by-step explanation:

6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2

Answers

Answer:

C. a = 6√3, b = 12, c = 6√2

Step-by-step explanation:

First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:

cos(60°) = 6/b

0.5 = 6/b

b = 6/0.5

b = 12

Now we can find a using the Pythagorean theorem:

b² = 6² + a²

12² = 6² + a²

144 = 36 + a²

a² = 144 - 36

a² = 108

a = √108

a = 6√3

And now we can find c using cos again:

cos(45°) = c/b

√2/2 = c/12

c = 12•√2/2

c = 6√2

can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1

Answers

Step-by-step explanation:

everything can be found in the picture

Originally a rectangle has dimensions 12in by 8in. if the same amount increases on both sides, the area is doubled find the new dimensions

Answers

Step-by-step explanation:

Let the increase in the size of the length and breath be 'x'.

The area of the rectangle = 12in × 8in

=96 in²

From the question,

(12+x)(8+x)=96×2 in²

or, 96+12x+8x+x²= 192

or, x²+20x+96-192=0

or, x²+20x-96=0

or, x²+24x-4x-96=0

or, x(x+24)-4(x+24)=0

or, (x-4)(x+24)=0

Either, Or,

x-4=0 x+24=0

Therefore, or, x= –24 (Which is impossible)

x=4

So the new dimensions are 12+4=16 inch and 8+4=12 inch.

Kiran's father is 65 years old. He is 8 years older than three
times Kiran's age. Find Kiran's age?​

Answers

Answer:

let kiran's age be x

kiran's father's age is 65

acc.to ques

kiran's father is 8 years older than 3 times kiran's age ....which gives us the equation as follows

8+3x =65

therefore

3x =65-8

3x =57

x =57/3

x= 19 ans

so kiran's age is 19 years.

Answer:

kiran is 19 years old.

Step-by-step explanation:

kiran's father age = 65

let kiran's age be x

kiran's father is 8 years older than three times kiran's age means 8 + 3x

so according to the question equation is

65 =  8 + 3x

65 - 8 = 3x

57/3 = x

19 = x

therefore kiran's age is 19 years.

plz help me with this

Answers

Answer:

27.7

Step-by-step explanation:

Pythagorean Theorem

[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex]  (10.7 comes from half of the 21.4 side)

[tex]x^{2}[/tex] = height

Solve 2x + 6 > 20. OLA X> 18 B. X>7 O c. x


someone help por favor​

Answers

your answer would be x>7 or B :)

Answer:

2x+6>20

2x>20-6

2x/2>14/2

x>7

So your answer would be B

Malcolm planted two trees in his yard. One tree is 50 inches tall and grows
at a rate of 2 inches per month. The other tree is 59 inches tall and grows
at a rate of 1 inch per month. How many months will it take until both
trees are the same height?

Answers

First make an equation for first tree
Y=2x+50
Then second tree
Y=1x+59
Then put them equal to eachother
2x+50=1x+59
Solve by subtracting 1x and then subtracting 50
Answer= x=9
9 months

What is the x-value of the vertex?

f (x) = (x + 2)^2 - 1

x-value of the vertex:

Answers

Rewrite the equation in expanded form:

(X+2)^2 -1 = x^2 + 4x + 3

The parabola parameters are : a = 1, b = 4, c = 3

The x vertex is -b/2a = -4/2(1) = -2

Replace x with -2 in the expanded equation to solve for the y vertex:

Y = -1

The vertex is (-2,-1)

x-value of the vertex:-2

Answer:

Solution given:

we have

f(x)=(x+2)²-1

y=x²+4x+3......(I)

parameters of parabola are:

a=1

b=4

c=3

we have

vertex=-b/2a=-4/(2*1)=-2

substitute value of x in equation 1.

y=4-8+3= -1

So

vertex(-2,1)

Evaluate the expression below when x = 7 and y = 8.
5x2−3y

Answers

Answer:

221

Step-by-step explanation:

Substitute x = 7 and y = 8 into the expression

5(7)² - 3(8)

= 5(49) - 24

= 245 - 24

= 221

Write an equation for the line that contains (-15, -8) and is parallel to the
graph -3x + 5y = -8

Answers

Answer:

y=3/5x+1

Step-by-step explanation:

Hi there!

We are given the equation -3x+5y=-8 and we want to find the equation of the line that is parallel to -3x+5y=-8 and contains the point (-15,-8)

parallel lines have the same slopes, but different y intercepts.

So let's first find the slope of -3x+5y=-8

We can do this by converting the equation from standard form (ax+by=c where a, b, and c are free coefficients (numbers)) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

add 3x to both sides

5y=3x-8

divide by 5 on both sides

y=3/5x-8/5

3/5 is in the place of where m is, so that means that 3/5 is the slope of the line

we can write the equation of the new line in slope-intercept form.

Here it is so far:

y=3/5x+b

we need to find b

Because the line will pass through the point (-15,-8), we can use it to solve for b

substitute -15 as x and -8 as y

-8=3/5(-15)+b

multiply

-8=-9+b

add 9 to both sides

1=b

substitute 1 as b into the equation

y=3/5x+1

There's the equation of the line :)

Hope this helps!

can someone pls help for brainlest

Answers

Answer:

6.28km

Step-by-step explanation:

Hey,

We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.

Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.

2(π)(1km)=2kmπ.

The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.

6.28km is the answer!

what the guy above me said

What pattern can you use to find other terms of the sequence given below? 14, 6, -2, -10, -18, … Add _________ to the previous term to find the next term

Answers

Answer:

Add -8

Step-by-step explanation:

Take the second term and subtract the first term

6-14 = -8

Check with the third and second terms

-2 -6 = -8

We are subtracting 8 from each side

(or adding -8)

Step-by-step explanation:

14, 6, -2, -10 , -18

ok so if you are starting at 14 then you would be add -8

14-8=6

6-8=-2

so on and so on..

But if you are starting from -18 then you would add 8

-18, -10,-2, 6, 14

-18+8=-10

-10+8=-2 so on and so on

so either one of those depending on which number your starting with

Write as a positive exponent.
7^-10

Answers

Answer:

1/7^10

Step-by-step explanation:

7^-10

=1/7^10

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