Katie works for a company that designs children’s playhouses. The diagram shows her design for a new playhouse. Katie can select the color of the plastic used to make the playhouse. Panels can be cut from 14-ft by 14-ft sheets of plastic.

Play house is made of triangular prism which is placed up on a rectangular prism. The dimension of rectangular prism are length 13.2 ft, width 13.2 ft and height 6.6 ft. The dimension of triangular prism are slant height 8.8 ft and base same as the length of the rectangle.

Part A
How many sheets of plastic will Katie need? Explain.

Answer:

6 pi

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The diameter is 2 so the radius is 1/2 d = 1

V = pi (1)^2 * 6

V = 6 pi

Answer:

7

Step-by-step explanation:

just took the test on edg2020

The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.

In the given figure, AD=5x+3 and BC=38.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

In the parallelogram ABCD, AD=BC

So, 5x+3=38

⇒ 5x=35

⇒ x=7

The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.

Learn more about the parallelogram here:

https://brainly.com/question/19187448.

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Hey!!!

Here's your answer

-9*4=-36

So the right answer -36.

Hope it will help you

Good luck on your assignment

Answer:

-36

Step-by-step explanation:

-9*4 = -(9*4) = -36

Answer:

Step-by-step explanation:

a₃=a-(3-1)d

=a-2d=3⇒equation 1

a₁₁=

=a-10d=11⇒eq 2

by elimination method

eq2-eq1

-8d=8d=-1

substituding in eq1 a=1

hope this helps

plzz mark me brainliest

Answer:

102 in^3.

Step-by-step explanation:

Volume of the  ice cream container = 10*14*12 = 1680 in^3.

Volume of the  sherbet container = 11*18^9 = 1782 in^3.

So the answer is 1782 - 1680

= 102 in^3.

Answer:

D

Step-by-step explanation:

The equation of the parabola is of the form

y = ax² + c ( where c is the y- intercept )

Here c < 0

Since the parabola has a maximum value and opens down then a < 0

Thus the only equation that could represent this parabola is

y = - x² - 3 → D

Answer: $8.62

Step-by-step explanation:

Mattie wants to make a collar for her dog. She needs to buy some chain, clasp, and a name tag. Mattie wants the chain to be 40 cm long. On meter of chain costs $9.75, the clasp is $1.29 and name tag is $3.43.

Since 100 centimeters = 1 metre. Mattie needs 40cm and 1 meter of chain costs $9.75, cost of the chain Mattie needs will be:

= 40/100 × 9.75

= 2/5 × 9.75

= $3.90

Chain(40cm) = $3.90

Clasp = $1.29

Name tag = $3.43.

Cost to make collar will be:

= $3.90 + $1.29 + $3.43

= $8.62

Answer:

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Step-by-step explanation:

See below;

Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,

Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,

Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8

Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Answer:

Area of Shaded Region: 189 square centimeters

Step-by-step explanation:

~ To find the area of the shaded region, let us calculate the area of the rectangle added to the area of the two triangles, or the area of the whole triangle created from the two smaller triangles ~

1. Given dimensions of 15 by 9 centimeters, the area of the rectangle would be ⇒ 15 cm * 9 cm = 135 cm^2

2. It would be simpler if we were to consider the area of the larger triangle. The height in this case, by the Partition Postulate, would be 27 cm - 15 cm ⇒ 12 centimeters. Now provided that the shape with dimensions 15 cm by 9 cm is a rectangle, opposite sides are ≅, and thus ⇒ the base of this large triangle is 9 cm. That being said we can calculate the area of the triangle by   ⇒ 1/2 * base * altitude ⇒ 1/2 * 9 cm * 12 cm ⇒ 6 cm * 9 cm ⇒ 54 cm^2

3. The area of the shaded region is thus 135 cm^2 + 54 cm^2 ⇒ 189 cm^2

Area of Shaded Region: 189 square centimeters

Answer:

it is written in scientific notation

Answer:

$2195.80

Step-by-step explanation:

For a initial principal, P compounded with period k over n years at an annual interest rate, r, the amount (A(n)) at the end of n years is determined using the function:

[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]

In the given case:

P=$1800

n=4 years

r=5%=0.05

Since it is compounded quarterly, Period, k=4

Therefore, the amount of money in the account after 4 years is:

[tex]A(n)=1800(1+\frac{0.05}{4})^{4*4}\\=1800(1+0.0125)^{16}\\=1800(1.0125)^{16}\\=\$2195.80[/tex]

After 4 years, there will be $2195.80 in the account.

Step-by-step explanation:

"identity" means an operation that does nothing.

For adding numbers, adding 0 changes nothing, so 0 is the identity for addition.

For multiplication, multiplying by 1 changes nothing, so 1 is the identity for multiplication.

Answer:

70%

Step-by-step explanation:

The fraction of the game won is 14/20

Percent means out of 100

14/20 * 5/5 = 70/100

The percent is 70%

Answer: 17.2

Step-by-step explanation:

You must use the law of sines, which says that sinA/a = sinB/b = sinC/c, where the side is the side across from the angle.

the length of side a = 16m, and the angle A = 25.

the length of side b = x, and the angle B = 27

1. sinA/a = sinB/b

2. sin25/16 = sin27/x

3. x(sin25)/16 = sin27

4. x = 16sin27/sin25

5. x = 17.2

Point slope form: y - y1 = m(x - x1)

(x1, y1) = a point

m = slope

We are given:

(x1, y1) = (1, 2)

m = 3/2

Put into the original equation:

y - 2 = 3/2(x - 1)

Best of Luck!

Answer:

All real numbers

Step-by-step explanation:

The range is the possible output values

This is a line and the output goes from negative infinity to positive infinity

The range is all real numbers

Answer:

A

Step-by-step explanation:

Since it's a straight line, it extends from negative infinity to positive infinity

Answer:

A =13.5 yd^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 (4.5) ( 6)

A =13.5 yd^2

Answer:

22.5

Step-by-step explanation:

7.5ydx6yd

=45yd

45yd/2

=22.5yd^2

The answer is A it is correct.

Answer: THE OBJECT MUST MOVE IN THE SAME DIRECTION AS THE FORCE. WORK IS DONE ON AN OBJECT IF TWO THINGS OCCUR 1. THE OBJECT MOVES AS A FORCE IS APPLIED 2. THE DIRECTION OF THE OBJECT'S MOTION IS THE SAME AS THE DIRECTION OF THE FORCE APPLIED.

Step-by-step explanation:

Answer:

4 - x / 9

Step-by-step explanation:

x should be by itself

Answer:

Step-by-step explanation:

Answer:

x = 96

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

(1/3)x - 4 (+4) = 28 (+4)

(1/3)x = 28 + 4

(1/3)x = 32

Next, multiply 3 to both sides:

(3)(1/3)x = (32)(3)

x = 32 * 3

x = 96

x = 96 is your answer.

~

Answer:

96=x

Step-by-step explanation:

Add 4 to each side

1/3x= 32

multiply 3 on each side to cancel out the fraction

x=96

Answer:

3/4 cubic meter

Step-by-step explanation:

1 1/8 x 4/5 x 5/6= 3/4

now heres a step by step explanation Step-by-step explanation: your welcome

Answer:

Total Cost (T)=  .80a+1.25c

T= a+c

Step-by-step explanation:

This equation has 2 variables. It also has 2 equations

Answer:

Step-by-step explanation:

The solutions are

x=2,x=3

Explanation:

x2−5x+6=0

Here we can first factorise the expression and then find the solution:

Factorising by splitting middle term

x2−2x−3x+6=0x(x−2)−3(x−2)=0(x−2)(x−3)=0

Equating the two factors with zero to obtain solutions:

x−2=0,x=2x−3=0,x=3

Answer:

x + 5x + 6

x + 3x + 2x +6

x(1 + 3) + 2(x + 3)

(x + 3) (x+2) = 0

x = -3 (or) x = -2

Answer:

The y intercept of Function A is greater than the y intercept of Function B.

Step-by-step explanation:

-3 is greater than -4.

Answer:

2,683.34

Step-by-step explanation:

A=p(1+r/n)^nt

P=A/(1+r/n)^nt

A=20,000

r=12.7%=0.127

t=15

n=12

P=?

P=20,000/(1+/0.127/12)^12.7*15

=20,000/(1+0.0106)^190.5

=20,000/(1.0106)^190.5

=20,000/7.4534

P=2,683.3391

Approximately

P=2,683.34

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You have to convert them so they have a common denominator

A common multiple of all these is 24

3/4 --> 18/24

5/12 --> 10/24

1/2 --> 12/24

1/4 --> 6/24

2/3 --> 16/24

Now you can easily compare the values

The correct order would be:

D B C E A

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Answer:

Order is DBCEA (1/4, 5/12, 1/2, 2/3, 3/4)

Step-by-step explanation:

Reason that is the order is if you make everthing have a common denominator of 12 you get:

A=9/12

B=5/12

C=6/12

D=3/12

E=8/12

If you rearrange and simplify again you get the order of DBCEA or 1/4, 5/12, 1/2, 2/3, 3/4

Answer:

times 4

Step-by-step explanation:

Answer:

1.056 seconds

Step-by-step explanation:

Solution:-

- When a ball is thrown vertically in air from a height of "so" from the ground at a velocity of " vo " it follows a parabolic trajectory. The ball undergoes its upward motion against gravity. Hence, it has negative acceleration of a = -g = -32 ft/s^2.

- When the balls reaches its maximum height in air, it starts its downward journey under the complete influence of gravity; hence, it accelerates with a = +g = 32 ft/s^2.

- The entire trajectory of the ball is governed by the constant acceleration "a" due to gravity and neglecting any other effects on the ball i.e air resistance.

- There are three kinematic equation of motion valid for any particle undergoing independent one dimensional motion with constant acceleration.

- For vertical trajectory the displacement "h" from the ground is given by the second kinematic equation of motion:

                  h - so = vo*t + 0.5*a*t^2

                  h = vo*t + 0.5*a*t^2 + so

Where the parameters are given as:

                so = 2 feet

                vo = 15 ft/s

                a = - 32 ft/s^2

Therefore we have:

                  h = 15*t + 0.5*(-32)*t^2 + 2

                  h = -16t^2 + 15t + 2

- To determine the amount of time the ball is in air the displacement is given by the distance from the ground. The journey starts when the ball is thrown from height "so" and ends when it strikes the ground; hence, at h = 0 ft.

                0 = -16t^2 + 15t + 2

                0 = 16t^2 -15t - 2

- Use the quadratic formula to solve for time "t":

               [tex]t = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a} \\\\at^2 + bt + c = 0[/tex]

- Plug in the respective constants:

                [tex]t = \frac{15+/-\sqrt{15^2 - 4*16*-2} }{32} \\\\ t = \frac{15+/-18.78829 }{32} \\\\t = 1.056 s[/tex]

- The total time for ball in air would be 1.056 seconds. ( Neglect the negative value of time )