The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

























































Item 19
The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answer:

4.5 ft

Step-by-step explanation:

Let length = 2x + 3

Let width = x

Area = 54 ft2

length × width = Area

x(2x + 3) = 54

2x2 + 3x = 54

2x2 + 3x - 54 = 0

(2x - 9)(x + 6) = 0

x = 9/2    and    x = -6

x = 4.5    and    x = -6

We accept x = 4.5 because length cannot be a negative value.  Substituting this value into the dimensions:

width = 4.5 ft

length = 2(4.5) + 3 = 9 + 3 = 12 ft

Answer:

c

Step-by-step explanation:

ESPERO TE A YDUE :)

Answer:

Answer is A. 2/6

Step-by-step explanation:

Hope this helps! :)

The answer will be 1 and 1/5

I attached the work in the picture!

Answer:

14 and 15

Step-by-step explanation:

Answer:

16.7

Step-by-step explanation:

The amount of water consumed is 334 quarts

The distance is 20km

Therefore the average water consumption can be calculated as follows

= 334/20

= 16.7

Hence the consumption rate is 16.7 quarts/km

Answer:

44

Step-by-step explanation:

Hello There!

To solve this one all we have to do is plug in 5 for a

so

9(5)-7+6

9x4=45

45-7=38

38+6=44

so when a=5 the value of the expression is 44

THAT SHOULD BE THE ANSWER

Ambitious

268 answers

76.4K people helped

This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.

For the first digit you can choose from the numbers 0,1,2...,9 or 10 choices.

Now the next 5 digits will all be letters all being different.. recall there are 26 letters in the alphabet.. for our second digit we have 26 choices, for our third digit we have 25 choices(because we already used one of the 26 letters and we can't repeat), for our fourth digit we have 24 choices.... and well I'm sure you are catching on by now...

Here is what the whole calculation looks like:

10(26)(25)(24)(23)(22) = 78,936,000

Step-by-step explanation:

Answer:

The answer should be the one with roses

Step-by-step explanation:

Answer:

275, 375, 475

Step-by-step explanation:

First, find the slope using the two pairs of values given.

Number of days = x

Total number of trophies = y

Using (3, 80) and (7, 180),

Slope = ∆y/∆x = (180 - 80)/(7 - 3) = 100/4 = 25

Slope/unit rate = 25 trophies per day

Multiply 25 by each given number of days to get each corresponding total number of trophies won.

Thus:

✔️Number of days = 11

Total number of trophies won = 11*25 = 275

✔️Number of days = 15

Total number of trophies won = 15*25 = 375

✔️Number of days = 19

Total number of trophies won = 19*25 = 475

Answer:

280

380

480

Step-by-step explanation:

If he gets 100 trophies every 4 days then you just add 100 to each column because in each one the days are increasing by 4

Your welcome ;)

Answer:

B.5 1/3

Step-by-step explanation:

got it right on edge

The value of a from the given triangle is [tex]5\frac{1}{3}[/tex] units. Therefore, option B is the correct answer.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

From the triangle we have WX=b, WZ=c, ZY=3, YX=a and WY=4.

By Pythagoras theorem,

c²=4²+3²

c²=16+9

c²=25

c=5 units

In triangle WXZ,

(3+a)²=5²+b² ----(i)

From the triangle WXY,

b²=4²+a² ------(ii)

From equation (i) and (ii), we get

(3+a)²=5²+4²+a²

9+6a+a²=41+a²

6a=32

a=32/6

a=[tex]5\frac{1}{3}[/tex] units

Therefore, option B is the correct answer.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ7

Answer:

b) 2 (x - 4) = 6x

Step-by-step explanation:

equation:

⇒ 2 (x - 4) = 6x

use distributive property:

⇒ 2 (x - 4) = 6x

⇒ 2x - 8 = 6x

subtract x from both sides:

⇒ 2x - 2x - 8 = 6x - 2x

⇒ -8 = 4x

divide both sides by 4:

⇒ [tex]\frac{-8}{4} = \frac{4x}{4}[/tex]

⇒ -2 = x

to check, substitute -2 for x: answer should be the same

2 (x - 4) = 6x

2 (-2 - 4) = 6 x -2

-4 - 8 = -12

-12 = -12

Answer:

i got A and B.

Step-by-step explanation:

for a, subtract 6 from both sides and your new equation should be 2x=-4

the divide -4 by 2 which is -2

for b, you multiply 2 by each number in the parenthesis so your new equation should be 2x-8=6x. then subtract 2x from 6x and get 4x then divide -8 by 4 to get -2. im 100% sure abt A but i was a little confused on B good luck tho

Answer:

(-3,1) and (-8,6)

Step-by-step explanation:

Hey gabymcarrillo!

The solution is always the place where the two lines intersect.

Our first answer: go 3 left on the x- axis, and then go 1 up on the y- axis. This results in (-3,1)

Our second answer: go 8 left on the x- axis, then go 6 up on the y- axis. This results in (-8,6)

Hope a helped, have a nice day!

          -Aadi x

Answer:

100

Step-by-step explanation:

Hello There!

∠4 and ∠8 are corresponding angles

corresponding angles are congruent so if ∠4 = 100 then ∠8 also equals 100

Answer:

∠ BDC = 30°

Step-by-step explanation:

The angle on the circle is half the measure of the central angle subtended by the arc BC

∠ BDC = [tex]\frac{1}{2}[/tex] × 60° = 30°

Answer:

2.34

Hope that helps!

Answer:

a) attached below

b) Area = 1/2 ( base ) (height )

        = 1/2 ( x ) ( x/2)

        = x^2 / 4

C) i)25%     ii) 54.69%      iii) 85.94%

Step-by-step explanation:

Given density curve y = x/2  for 0 < x < 2  and y = 0

a) Graph the density curve of this variable

attached below

b) show that the area under the density curve to the left of any number x between 0 and 2 equals x^2/4

base of triangle = x

height = x/2

Hence to show the area under the density curve is equal to x^2/4 we will calculate the area to the left

Area = 1/2 ( base ) (height )

        = 1/2 ( x ) ( x/2)

        = x^2 / 4

c) Determine the percentage of the time of the distance of the center of the first spot to appear from the center of the petri dish

i) At most 1 inch

(area to the left of 1 ) = 1^2 / 4

= 1/4 = 0.25 ≈  25%

ii)   between 0.25 inch and 1.5 inches?

( area between 0.25 and 1.5 ) = ( area to the left of 1.5 ) - ( Area to the left of 0.25 )

= (1.5^2 / 4 )- ( 0.25^2 / 4 )

= 0.5469 = 54.69%

iii) more than 0.75 inch

( Area to the right of 0.75 ) = 1 - (0.75^ / 4)

                                            = 0.8594 = 85.94 %

Answer:

Percentile 2020 Percent Change

18%           $4,480.43 30.8%

19%      $5,378.37 24.0%

20%   $6,368.35 24.3%

21%         $7,363.47 22.4%

Step-by-step explanation:

Answer: maybe -1

Step-by-step explanation:

Answer:

i would say about 16 miles.

Answer:

Step-by-step explanation:

Draw a picture. The lines between their houses forms a right triangle. Kennedy is at the 90°. The distance between Shiloh and Zoe is the hypotenuse of the triangle, so use the Pythagorean Theorem.

Distance² = 8² + 6² = 100

Distance = √100 = 10 miles

Answer:

first angle = 60

second angle = 120

Step-by-step explanation:

Let the first angle  x

Let the second angle = 2x

x + 2x = 180        Supplementary angles = 180 degrees

3x = 180              Divide by 3

3x/3 = 180/3

x = 60

2x = 120

Answer:

20%

Step-by-step explanation:

Answer:

18 is 45% of 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/10 are black therefore 14/20 are black