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ryzh [129]
3 years ago
15

Please someone solve the area of this deck

Mathematics
1 answer:
Scilla [17]3 years ago
7 0
Large square = 528
Small square = 108
Triangle = 90
528 + 108 + 90 = 726 ft squared
*don't forget units!!
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Consider the function y = x2 − 18x. Enter the values for the variables to complete the inverse.
ollegr [7]
<span>In the function "y=x2-18x" the goal is to find the value of the letter x. We know that y equals x2-18x. First, recognize that x2 is the same thing as 2x. So changing the problem to "y=2x-18x". We can subtract 18x from 2x, which leaves us with -16x. Now the problem looks like this: y=-16x. In order to get x by itself, we will need to do the same thing to both sides of the equation. In this case, we want the answer to be x by itself, or (1x) which is the same thing. We divide both sides of the equation by (-16). We are left with the following: y/-16=x. Basically, in words, x equals y divided by negative 16.</span>
5 0
3 years ago
Find the missing side. Round to<br> the nearest tenth.<br> 10<br> 33°<br> х<br> x = [ ?<br> ]
geniusboy [140]

Answer:

x = 15.4

Step-by-step explanation:

Reference angle = 33°

Opposite side reference angle = 10

Adjacent side = x

Therefore, we would apply the trigonometric function, TOA.

Thus:

Tan 33° = Opposite/Adjacent

Tan 33° = 10/x

Multiply both sides by x

x*Tan 33° = 10

Divide both sides by Tan 33°

x = 10/Tan 33°

x = 15.3986496

x = 15.4 (nearest tenth)

3 0
2 years ago
Classwork 12.1 surface area
s344n2d4d5 [400]

Answer:

6) LA = 90 units² and SA = 202 units²

7) LA = 377 units² and SA = 477.5 units²

8) LA = 208 units² and SA = 232 units²

9) LA = 455 units² and SA = 591 units²

Step-by-step explanation:

* Lets revise the rules of lateral area and surface area

- Lateral area of the solid = perimeter of its base × its height

- Surface area = lateral area + 2 × area of its base

* Now lets solve the problems

6) The solid is a rectangular prism

- Its base is a rectangle with dimensions 8 units and 7 units

- Its height is 3 units

∵ Perimeter of the rectangle = 2(L + W)

∴ Perimeter of the base = 2(8 + 7) = 2(15) = 30 units

∴ LA = 30 × 3 = 90 units²

∵ Area of the rectangle = L × W

∴ Area of the base = 8 × 7 = 56 units²

∴ SA = 90 + 2 × 56 = 90 + 112 = 202 units²

7) The solid is a cylinder

- Its base is a circle with diameter 8 units

∴ Its radius = 8 ÷ 2 = 4 units

- Its height is 15 units

∵ The perimeter of the circle is 2πr

∴ The perimeter of the base = 2π(4) = 8π

∴ LA = 8π(15) = 120π = 376.99 ≅ 377 units²

∵ The area of the circle = πr²

∴ The area of the base = π(4)² = 16π

∴ SA = 120π + 2 × 16π = 120π + 32π = 152π = 477.5 units²

6) The solid is a triangular prism

- Its base is a triangle with sides 5 , 5 , 6 units and height 4 units

- Its height is 13 units

∵ Perimeter of the triangle is the sum of the 3 sides

∴ Perimeter of the base = 5 + 5 + 6 = 16 units

∴ LA = 16 × 13 = 208 units²

∵ Area of the triangle = 1/2 × base × height

∴ Area of the base = 1/2 × 6 × 4 = 12 units²

∴ SA = 208 + 2 × 12 = 208 + 24 = 232 units²

9) The solid is a prism

- Its base is an isosceles trapezium with parallel bases 7 units and 10

 units, 2 non-parallel bases 9 units and height 8 units

- Its height is 13 units

∵ Perimeter of the trapezium is the sum of its sides

∴ Perimeter of the base = 7 + 10 + 9 + 9 = 35 units

∴ LA = 35 × 13 = 455 units²

∵ Area of the trapezium = 1/2(b1 + b2) × h

∴ Area of the base = 1/2(7 + 10) × 8 = 68 units²

∴ SA = 455 + 2 × 68 = 455 + 136 = 591 units²

6 0
3 years ago
Find the volume of the sphere .
mars1129 [50]

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

\frac{4}{3}  \times \pi \times r ^{3}

\frac{4}{3}  \times \pi \times 7^{3}

=1436.75504cm³

to 1dp

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8 0
3 years ago
Steven's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volum
Dahasolnce [82]

Answer:

3,080 in³

Step-by-step explanation:

To find the volume you use the formula

Length*Width*Height= Volume

So,

14*11*20 = 3080

and you unit will be cubed because volume is cubed!

6 0
3 years ago
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