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Readme [11.4K]
3 years ago
9

Alexis bought 2 bags of apples for the fruit salad for her party. Each bag contained 13 apples. If she cuts each apple into 8 pi

eces, how many apple pieces would she have?
Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

2 times 13 is 26 and 26 times 8 is 206

Step-by-step explanation:

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The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i
kolbaska11 [484]

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

so

2x+4x=180

solve for x

6x=180

x=30

step 2

Find the measure of an exterior angle

2x

substitute the value of x

2x=2(30)=60\°

step 3

Find the measure of an interior angle

4x

substitute the value of x

4x=4(30)=120\°

In this problem the regular polygon is a hexagon

6 0
3 years ago
The ratio of cement : sand : aggregate in a mix of concrete is 1 : 3 : 3. Sang wants to make 112 kg of concrete. How much sand d
Kisachek [45]

Answer: 48

Step-by-step explanation:

The share of sand in the mixture is 3/7

To make 112 kgs. of concrete, he will need

3/7 x 112 = 48 units of sand

8 0
3 years ago
Read 2 more answers
In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline
VLD [36.1K]

Answer:

<u>The measure of the arc CD = 64°</u>

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>

6 0
3 years ago
How could you find an even better estimate of the square root of 2
vodomira [7]

Answer:

First of all you need to know the \sqrt {4} it's equal to 2 and

\sqrt {1} which is the number is between 1 and 2 and between that number there maybe the possibilities of above 0.5 or under 0.5

After that Figure out which one was bigger?  \sqrt {2} or \sqrt {3} ? The answer is \sqrt {3} and \sqrt {3} also near to \sqrt {4} so it should be above 0.5 .

So we know that \sqrt {2} is between 1 and 1.5.

Hopes that information was help you a lot

6 0
3 years ago
A rectangle has a length that is 9 feet less than four times its width. Its area is 90 square feet
kramer

Answer:

The length of rectangle is 15\ ft

The width of rectangle is 6\ ft

Step-by-step explanation:

Let

x-----> the length of rectangle

y----> the width of rectangle

we know that

The area of rectangle is equal to

A=xy

A=90\ ft^{2}

so

90=xy -----> equation A

x=4y-9 -----> equation B

substitute equation B in equation A and solve for y

90=(4y-9)y

4y^{2}-9y-90=0

using a graphing calculator

The solution is

y=6\ ft

Find the value of x

x=4y-9  -----> x=4(6)-9=15\ ft

5 0
4 years ago
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