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2 years ago

Find the area of the shape shown below. 7 3 3

Mathematics

2 answers:

kumpel [21]2 years ago

4 0

Split it into two shapes a square and a triangle.

Square = 3 x 3 = 9

Triangle = 1/2 x base x height

The height would be the side of the square = 3

The base would be the length of the top line minus the length of the side of the square = 7-3 = 4

1/2 x 4 x 3 = 6

Total area = 6 + 9 = 15 square units.

AfilCa [17]2 years ago

3 0

Answer:

<h2>15 sq. units</h2>

Step-by-step explanation:

<u>area of a trapezoid = (a + b) * h/2</u>

where a = 3, b = 7, h = 3

plugin values into the formula:

A = (3 + 7) * (3/2)

A = 15 sq. units.

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John goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon on

otez555 [7]

Answer:

<u>John spends $ 37.98</u>

Step-by-step explanation:

1. John has a bill of $ 32.57

2. He leaves a tip of 18% on the amount before the coupon or tax is applied, in consequence: 32.57 + 18% (32.57) = 32.57 + 5.86 = 38.43

3. He uses a 10% off coupon on the cost of the meal, therefore:

38.43 - 10% (32.57) = 38.43 - 3.26 = 35.17

4. The tax is 8%, then:

35.17 + 8% (35.17) = 35.17 + 2.81 = 37.98

<u>John spends $ 37.98</u>

5 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.

LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

1. The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = $r = \frac{d}{2}$

Substitute h for d in the above expression

$r = \frac{h}{2}$ . ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that V = 27; This gives us

27 = πr²h

Divide both sides by h

$\pi r^2 = \frac{27}{h}$

-------------------

Calculating the volume of a sphere

$V = \frac{4}{3}\pi r^3$

Expand the above expression

$V = \frac{4}{3}\pi r^2 * r$

Substitute $\pi r^2 = \frac{27}{h}$

$V = \frac{4}{3} * \frac{27}{h} * r$

Recall that $r = \frac{h}{2}$

So,

$V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}$

$V = \frac{4}{3} * \frac{27}{2}$

$V = \frac{2}{3} * 27$

$V = \frac{2}{3} (27)$

V = two-third (27)

4 0

3 years ago

Review your answers to Question 2. What happens to the coordinates of a shape when the shape reflects about the x-axis? What hap

mixas84 [53]

Answer:

When the shape reflects about the x-axis, the x-coordinate remains unchanged but the y-coordinate becomes negative. When the shape reflects about the y-axis, the y-coordinate remains the same but the x-coordinate becomes negative.

Step-by-step explanation:

Sample answer from Edmentum

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2 years ago

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Neko [114]

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