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Answer:

Correct option: first one -> 9.46 feet long

Step-by-step explanation:

To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.

The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:

sin(25°) = height / length

0.4226 = 4 / length

length = 4 / 0.4226

length = 9.4652 feet

So the length of the board should be 9.46 feet (correct option: first one)

Answer:

210 cm^2

Step-by-step explanation:

3x-1 + 4x+1 + 3x = 70

10x = 70

x = 7

Now, Area of the triangle is 1/2 * b * h

therefore,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210

210 is the area!

Hope this helps! mark as brainliest if helped! thanks!

210 cm^2

3x-1 + 4x+1 + 3x = 70

Simplify  

10x = 70

divide by 10

x = 7

So,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210 would be your final answer

Step-by-step explanation:

Answer:

30 ft

Step-by-step explanation:

We have a right triangle.

Hypotenuse = c = 50 ft

Leg  #1 = a = 40 ft

Leg#2 = b = ?

We need to use Pythagorean Theorem

c² = a² + b²

50² = 40² + b²

b² = 2500 -1600 = 900

b = 30

The right options are:

Option A

Option B

Option C

Please see the attached picture.

hope it helps

Good luck on your assignment..

solve: [tex]\frac{10}{x}[/tex] = 2

Answer:

a. x= 5

Step-by-step explanation:

To solve the question given, we will follow the steps below;

[tex]\frac{10}{x}[/tex] = 2

multiply x to both-side of the equation

[tex]\frac{10}{x}[/tex] × x= 2× x

at the left-hand side of the equation, x will cancel-out x, leaving us with 10

10 = 2x

divide both-side of the equation by 2

10/2 = 2x/2

at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2

5 = x

x=5

Answer:

a

Step-by-step explanation:

Answer:

I hope it helps . For any clarification , Please notify me through the comment section .

Step-by-step explanation:

[tex]f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12[/tex]

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180   {supplementary}

3x  - 17  + 5x + 21 = 180    

Add the like terms

8x  + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Answer:

x = 22

Step-by-step explanation:

Supplementary angles add to 180

<1+ <2 =180

(3x - 17) + (5x + 21) = 180

Combine like terms

8x +4 = 180

Subtract 4 from each side

8x +4-4 = 180-4

8x = 176

Divide each side by 8

8x/8 = 176/8

x = 22

Answer:

35.71m/s²

Step-by-step explanation:

using the formula force(F)=mass(m)×acceleration(a)

a =

[tex] \frac{f}{m} [/tex]

F=15.0N

m=0.42kg

a=?

a=15÷0.42

a=35.71m/s²

Answer:

C

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far

How many dimensions does a plane have?

● Α. Two

O B. Zero

O C. One

O D. Three

Answer:

12

Step-by-step explanation:

Alr so correct me if I'm wrong but I think you made a mistake. It says find 44 of those rectangles. You found just 1 in that case which the area is 3/11. You have to do 3/11 X 44 which is

3/11 x 44/1 = 132/11 = 12.

As I said, correct me if I'm wrong.

Hope this Helps!

Answer:

The dilation is an enlargement, and the scale factor is 2.  So, the answer is B.  

Step-by-step explanation:

The dilation is an enlargement, and the scale factor is 2.  

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

The image of the object undergoing transformation is given.

From the attached object, we se that CP = 4.

Also CP' = 8

Thus; Scale factor is 8/4 = 2

Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.

Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.

The scale factor of the given dilation is; 2 and the dilation is a enlargement.

Read more about Transformations at;

brainly.com/question/4289712

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Answer:3/8

Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.

Answer:

1/2 * 3/4

Step-by-step explanation:

Answer:

distance ÷ 67 = how many hours took to ride that much

you can use a normal table that looks like the ones on google when you search up "tables in math"

I'm sorry for this short answer! I'm in a rush but I hope this helped!

Answer:

[tex] - \frac{4}{3} [/tex]

Step-by-step explanation:

gradient formula:

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of the line

[tex] = \frac{5 - 1}{1 - 4} \\ = - \frac{4}{3} [/tex]

Slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].

" Slope is defined as the ratio of difference of the increase in y- coordinates to the difference of increase in x- coordinates."

Formula used

Two coordinates on line

[tex]( x_{1} ,y_{1})\\\\(x_{2}, y_{2})[/tex]

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

According to the question,

Given,

Point on the line

[tex]( x_{1} ,y_{1})= ( 1,5)\\\\(x_{2}, y_{2})= ( 4,1)[/tex]

Substitute the value to get the slope of the line,

Slope = [tex]\frac{1-5}{4-1 }[/tex]

          = [tex]\frac{-4}{3}[/tex]

Hence, slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].

Learn more about slope here

https://brainly.com/question/3605446

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Answer:

[tex]19[/tex]

Step-by-step explanation:

[tex]3 + (6 -2) \times 4[/tex]

[tex]3 + (4) \times 4[/tex]

[tex]3 + 16[/tex]

[tex]=19[/tex]

Answer:

19

Step-by-step explanation:

use the other of operations

Answer:

The mode (number with the highest frequency or number with most appearance)

Answer:

Mode

Step-by-step explanation:

The number that occurs the most is 9.

Answer:

Step-by-step explanation:

diameter = 6 in

r = 6/2 = 3 in

h = 11 in

Volume of cylinder = πr²h

                                = 3.14*3*3*11

                                = 310.86 in³

Answer:

Step-by-step explanation:

Answer:

A. either the good remains unsold or the price drops

Answer:

Choice C

Step-by-step explanation:

[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]

Hope this helps!

Answer:

10x7 y 4

Step-by-step explanation:

i just answered it

Answer:

10

Step-by-step explanation:

Answer:

 The length of  arc  'l' = 9.5

Step-by-step explanation:

Explanation:-

Given radius of the pendulum r = 25

The tip of a pendulum moves through an angle of 0.38 radians

     θ = 0.38 radians

The length of  arc  'l' = rθ

                             'l' = (25)(0.38)

 The length of  arc  'l' = 9.5                        

Answer:

Length of segment QV = 35 units

Step-by-step explanation:

As shown in the figure attached,

Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,

"There are two pairs of the sides which are equal in measure."

Therefore, TS ≅ TQ and SV ≅QV

Since TS ≅ TQ,

3x + 2 = 29 [Given: TQ = 29 units]

3x = 29 - 2

3x = 27

x = 9

Another pair of the consecutive sides is,

SV ≅ QV ≅ (4x - 1)

By substituting the value of x,

QV = (4 × 9) - 1

     = 36 - 1

     = 35 units

Therefore, length of segment QV = 35 units

Answer:

Step-by-step explanation:

Hypotenuse^2=3^2+8^2

Hypotenuse^2=9+64=73

Hypotenuse =square root of 73

Hypptenuse =8.54

Answer:

8.54

Step-by-step explanation:

I took a test

Answer:

Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.

Answer:

D. g(x) = (x + 4)2 + 6

Step-by-step explanation:

I just took the test and this was the correct answer

Answer:

2<x

Step-by-step explanation:

less than x

Answer:

n-2

Step-by-step explanation:

lets put the variable N to mean the "number"

Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2

which can be written as n-2

Answer

would it be 135?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

5 lemons for $2.00

1 lemon is for 2/5=$0.40

Answer:

The answer is option C) $0.40

Step-by-step explanation:

Cost of 5 lemons= $2.00

cost of 1 lemon= 2.00/5

                        = 0.40

therefore $0.40 is the unit cost of each lemon in the bag.

Hope this helped you.