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Mathematics

1 answer:

astra-53 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:

Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:

5^2 = 3^2 + x^2

x = 4

The radius is 4 + 1 cm = 5 cm

So the area of the circle is A = pi*r^2

A = 3.14 * (5)^2

A = 25pi cm^2

To solve for the area of the shaded region:

Ashaded = Acircle - Atriangles

we need to solve for the area of the triangles:

A = 1/2 *b*h

A = 1/2 *6 * 5

A = 15 cm^2

Atriangles = 2 * 15

Atriangles = 30 cm^2

Ashaded = 25pi - 30

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16. Suppose Eva has 12 3/4 pounds of flour. The day's baking will require triple that amount.

egoroff_w [7]

Answer:

Option D

Step-by-step explanation:

Given the following question:

$12 \frac{3}{4} \times3$

In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.

$12 \frac{3}{4} \times3$
$12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}$
$3=\frac{3}{1}$
$\frac{51}{4} \times\frac{3}{1}$
$51\times3=153$
$4\times1=4$
$=\frac{153}{4}$

Convert the improper fraction back into a mixed number:

$\frac{153}{4}$
$\frac{153}{4} =153\div4=38\frac{1}{4}$
$=38\frac{1}{4}$

Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.