The top of a ladder slides down a vertical wall at a rate of 0.32 m/s. At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. How long is the ladder?

Answer/Step-by-step explanation:

9. 17x = 16x + 5 (alternate exterior angle)

17x - 16x = 5

x = 5

Measure of bolded angle = 17x = 17 * 5 = 85

10. 21x - 6 = 20x (corresponding angels)

21x - 20x = 6

x = 6

Measure of bolded angle = 20x = 20(6) = 120

11. (x + 95) + (x + 105) = 180 (linear pair angles)

2x + 200 = 180

2x = 180 - 200

2x = -20

Divide both sides by 2

x = -10

Measure of bolded angle = x + 105 = -17 + 105 = 88°

12. 12x - 4 = 11x + 3 (vertical angles)

Collect like terms

12x - 11x = 4 + 3

x = 7

Measure of bolded angle = 11x + 3 = 77 + 3 = 80°

Answer:

Bar Graph

Step-by-step explanation:

Bar graphs are used to compare things between groups or tracks. They are the most efficient because the set data is set to change at any time

Answer:

(2,3)

Step-by-step explanation:

it is the point in which they intersect

i am in algebra two so you can trust my answer. if you need more help, lmk in the comments. happy holidays and stay safe!

Given:

Samantha purchased dinner at a restaurant and spent $38 on food and beverages.

Rate of sales tax = 7%

To find:

How much will Samantha pay for sales tax in dollars and cents?

Solution:

Amount spent on food and beverages = $38

Rate of sales tax = 7%

Sales tax = 7% of $38

[tex]\text{Sales tax}=\dfrac{7}{100}\times 38[/tex]

[tex]\text{Sales tax}=\dfrac{266}{100}[/tex]

[tex]\text{Sales tax}=2.66[/tex]

Therefore, the sales tax is $2.66.

Answer:

answer D looks good    :)

Step-by-step explanation:

Answer:

All A to D

Step-by-step explanation:

The attachment completes the question

From the attachment,

Also, from the attachment, the sides of each are:

[tex]RQ = UT = 22[/tex]

[tex]QS = TV = 30[/tex]

[tex]RS = UV = 23[/tex]

And the angles are:

[tex]\angle Q = \angle T = 50[/tex]

[tex]\angle R = \angle U = 83[/tex]

[tex]\angle S = \angle V = 47[/tex]

The above show that QRS and TUV are:

Answer:

6 cubic meters

Step-by-step explanation:

Answer:

Difference in temperatures = 37 degree

Step-by-step explanation:

Given:

Temperature above zero = 32 degree

Temperature below zero = -5 degree

Find:

Difference in temperatures

Computation:

Difference in temperatures = Temperature above zero - Temperature below zero

Difference in temperatures = 32 - (-5)

Difference in temperatures = 37 degree

Answer:

π meters

Step-by-step explanation:

The diameter is 2  meters. Then the radius is 1 meter. So:

A=πr²

  =π(1)²

  =π meters ...............

Answer:

3.14

Step-by-step explanation

the formula of a circle is A=πrxr

2 divided by 2 is 1

1 x 1 = 1

3.14 x 1 = 3.14

thats is!

Step-by-step explanation:

Sum of angles in this pentagon = 540°.

Therefore 13x + 241 = 540, x = 23

Hence Angle P = 4(23) + 2 = 94°.

The measure of angle P is 94°

"It is a polygon with five vertices and five sides."

For given example,

We know, the sum of all interior angles of a pentagon is 540°

⇒ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°

⇒ (4x + 2)° + (132)° + (4x - 10)° + (5x - 11)° + 128° = 540°

⇒ 4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540

⇒ 13x + 241 = 540

⇒ 13x = 299

⇒ x = 23

So, the measure of angle P would be,

4x + 2

= 4 (23) + 2

= 94°

Therefore, the measure of angle P is 94°

Learn more about Pentagon here:

https://brainly.com/question/10159087

#SPJ2

Answer: 2

Step-by-step explanation:

2

74:  2 37

154:  2711

GCF:2

Step-by-step explanation:

here is ur answer pls check it

Answer:

8 is 1

Step-by-step explanation: Multiply

Answer:

9 teaspoons of vanilla

Step-by-step explanation:

12/4=3

3*3=9

Answer:

teaspoons of vanilla =9

Step-by-step explanation:

we can make it as a ratio

So we have (3 for teaspoons and 4 tablespoons)

          3:4  

Then  x : 12

x=(12/4)*3=9

hope this helps

Answer:

5/6

Step-by-step explanation:

from Keith as Joaquin.

solve.

Answer:

[tex]t^{14}[/tex] +  3  +  − [tex]\frac{3j}{7}[/tex]  + 7 + -[tex]\frac{6j}{7}[/tex]

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

27 DIVIDED BY 3 IS 9

SO 9 MULTIPLIED BY 5 IS 45

SO THE ANSWER IS 45

Answer:

Step-by-step explanation:

The sum of angle in the triangle BCD is 180 degrees

Given;

<B = 4x  -14

<C = x - 1

<D = 6x + 8

Required

Find x

Since <B + <C + <D = 180, hence;

4x - 14 + x - 1 + 6x + 8 = 180

11x -7 = 180

11x = 180+7

11x = 187

x = 187/11

x = 17

Hence the value of x is 17

The percentage of coach passengers who did not check their bags will be 43.82 %.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.

We have to find the percentage of coach passengers who did not check their bags.

It is found by dividing the total number of passenger bags not checked by the total number of passengers.

=71 / 162 × 100

=43.82 %

Thus, the percentage of coach passengers who did not check their bags will be 43.82 %.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ6

Step-by-step explanation:

By Factor Theorem, p(-3) = 0.

Therefore 3(-3)³ + 10(-3)² + (-3)a - 6 = 0 and a = 1.

Answer:

Number of 7 inch plate = 8

Number of 12 inch plate = 7

Step-by-step explanation:

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7in or 12in. The diameter of all 15 plates combined is 140in. Which system of equations can be used to find the number of 7in plates, x , and the number of 12in plates, y , that are in the cabinet?

Given that :

Total Number of plates = 15

Diameter of each plate : 7 in or 12 in

Diameter of all 15 plates = 140 in

Let number of 7 in and 12 in diameter plates = x and y respectively ;

x + y = 15 - - (1)

7x + 12y = 140 - - - (2)

x = 15 - y

Substitute x = 15 - y in (2)

7(15 - y) + 12y = 140

105 - 7y + 12y = 140

105 + 5y = 140

5y = 140 - 105

5y = 35

y = 7

From x = 15 - y

x = 15 - 7

x = 8

Number of 7 inch plate = 8

Number of 12 inch plate = 7

Answer:

16

Step-by-step explanation:

Answer: 16 years old

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

-3x=-3

Answer:

0.0476

Step-by-step explanation:

To solve 20/420,

We first reduce the numerator and denominator to its lowest terms(we are not using long division method) :

In the fraction 20/420, we cancel out the zeros =2/42

In the fraction 2/42, 2 will divide numerator and denominator so =1/21

To find the actual quotient, we are sure to get a result of decimal number since numerator is already smaller than denominator,

Therefore 1/21= 0.0476 to 4 decimal places

Note : we add zero to the numerator till it can be divided by 21(even with a remainder) hence the "0.0" before 4

Answer:

Solid line y is less than or equal to -1+4

Dashed line y is greater than or equal to 1/3

Step-by-step explanation:

PLZ MARK BRAINLIEST

Answer:

h bjwkjdfrekojfhrkeifcuhenjdc

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order for us to be able to get our (x,y) value, we need to show our work step-by-step.

Solving for Y:

  -2x + 3y = -9

+ (2x - 5y = 11)

_____________________

             -2y = 2

             -2     -2

In order for us to be able to find our y value, we need to divide -2 both sides.

y = -1

Solving for X:

2x-5(-1) = 11

2x + 5 = 11

    - 5    -5

_____________________

                 2x = 6

                  2      2

In order for us to find our x value, we need to divide 2 both sides.

x = 3

Our equation set or (x,y) value will be equal to:

(3,-1)