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posledela
4 years ago
8

1

Mathematics
1 answer:
NARA [144]4 years ago
5 0
Right so to find the interior angles of a shape you need to find the number of sides in a shape and minus 2
You then times this number by 180 to get the sum of interior angles for that shape
Let’s start with the octagon
It has 8 sides so you need to do 6*180 which gives you 1080
You divide this by 8 which gives you 135
This is one angle in the octagon
If you do this for all of the shapes you get 135, 108 and 120 degrees
If you add these all up you get 363 which is 3 degrees off of 360 which would be a perfect fit
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The edge length of a cube is 3.5 inches. Find the surface area of the cube.
Nataliya [291]
A cube has all sides the same length, check the picture below.

since the cube is just 6 squares stacked up to each other at the edges, we can simply get the area of each square and sum them up, and that's the surface area of the cube.

(3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) .

3 0
3 years ago
Suppose a lab need to need to make 400 liters of 39% acid solution, but the only solutions available to the lab are 20% acid and
Maslowich

Answer:

c + d = 400

0.2c + 0.5d = 156

Step-by-step explanation:

Let

c = number of liters of 20% acid solution

d = number of liters of 50% acid solution.

c + d = 400 (1)

0.2c + 0.5d = 400(0.39)

0.2c + 0.5d = 156 (2)

From (1)

c = 400 - d

Substitute c = 400 - d into (2)

0.2c + 0.5d = 156 (2)

0.2(400 - d) + 0.5d = 156

80 - 0.2d + 0.5d = 156

- 0.2d + 0.5d = 156 - 80

0.3d = 76

d = 76/0.3

d = 253.33 liters

Substitute d = 253.33 into (1)

c + d = 400

c + 253.33 = 400

c = 400 - 253.33

c = 146.67 liters

6 0
3 years ago
When a number is decreased by 19% the result is 66 what is the original number to
dybincka [34]

Answer:

<em>The original number is x = 66 .19</em>

Step-by-step explanation:

<em>Let 'x' be the number</em>

Given data a number is decreased by 19% the result is 66

x - 19% = 66

x-0.19 = 66

Adding '0.19' on both sides , we get

x - 0.19 +0.19 = 66 +0.19

x = 66 .19

<em>The original number is x = 66 .19</em>

6 0
4 years ago
Is y = 1/4x^0.5 a power function? Explain your reasoning.
LenaWriter [7]

Answer:

y =\displaystyle\frac{1}{4}x^{0.5}

It is a power function.

Step-by-step explanation:

We are given the following function in the question:

y =\displaystyle\frac{1}{4}x^{0.5}

We have to check whether the given function is a power function or not.

Power Functions :

  • A power function is of the form:

f(x) = ax^p,

where a is a constant and not equal to zero and p is a real number.

Comparing the given function, we get:

a = \displaystyle\frac{1}{4}\\\\p = 0.5

Hence, the given function is a power function.

3 0
3 years ago
What is the greatest common factor of 88 and a 121
Anton [14]

Answer: 11

Step-by-step explanation: The factors of 88 are 1,2,4,8,11,22,44,88; The factors of 121 are 1,11,121.

8 0
4 years ago
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