What is the average of 37, 22, 52, 17, 16, and 25

Answers

Answer 1

Answer: 28.1666666666666.....

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Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, square that value, and add the result to both sides. Is Adiya’s solution method correct? Explain.
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find the length of the base of a square pyramid if the volume is 1,024 cubic inches and has a height of 12 inches. (6 points) 4 inches 8 inches 16 inches 24 inches

How do i solve this
(-15b - 7) - (-2b)

Answers

Answer:

13b + 7

Step-by-step explanation:

Combine like terms. (-15b - 7) - (-2b), add -15b to both sides, the equation then becomes (-7) - (13b). Swap the equation around to become (13b) - (-7), a subtraction sign and then a negative makes the negative a positive. The equation then becomes 13b + 7.

The areas of two similar polygons are in the ratio 64:81. find the ratio of the corresponding sides.

Answers

If the areas of two similar polygons are in the ration 64:81, then the ratio of their corresponding sides are $(8)/(9)$

What are polygons?

"A polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross."

The simple polygons are triangles (3 sides), quadrilaterals (4 sides), and pentagons (5 sides).

Now if we take the given polygon as square (4 sides).

Then,

Let the sides of squares are a and b.

$(a^(2) )/(b^(2) )=(64)/(81) \n(a)/(b)=\sqrt{(64)/(81) } \n(a)/(b)=(8)/(9)$

Hence, the ratio of the corresponding sides of polygon is $(8)/(9)$

Learn more about the polygons here

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Answer is 8:9. The easiest example is a square. If the polygons are squares with areas of 64 and 81 then the sides of the squares are 8 and 9. Therefore, the ratio of the corresponding sides is 8:9

What is the point-slope form of an equation with the slope of 3/5 that passes through the point (10, –2)?

Answers

Hello,

y+2=3/5(x-10)

or
y=3/5 x -8

At a competition with 5 runners, 5 medals are awarded for first place throughfifth place. Each medal is different. How many ways are there to award the
medals?
Decide if the situation involves a permutation or a combination, and then find
the number of ways to award the medals.

Answers

Answer: Permutation; number of ways = 120

Step-by-step explanation:

Answer with explanation:

Number of runner= 5

Number of Distinct Medal = 5

First Medal can be Awarded in 5 ways, second Medal can be awarded in 4 ways and third Medal can be awarded in 3 ways , fourth medal can be awarded in 2 ways and fifth Medal can be awarded in one way.

So, total number of ways =5 × 4×3×2×1=120 way

⇒We will use the concept of Permutation as there are five distinct medal and five different runners

So, Five distinct places can be filled in 5! or $_(5)^(5)\textrm{P}$ ways as order of arrangement is Important because any of the five candidates can win first second, third , fourth or fifth Prize.

= 5!=5×4×3×2×1=120 ways

Because, n!=n×(n-1)×(n-2)×........1.

Find the volume of this square pyramid.48 cm3
96 cm3
144 cm3
288 cm3

Answers

Formula:

V = 1/3 * b^2 * h

Plug in what we know:

V = 1/3 * 6^2 * 4

Simplify exponent:

V = 1/3 * 36 * 4

Multiply all 3 numbers together:

V = 48cm^3

V= $a^(2)$ ·(h/3)
a=base edge
h= height
V= $6^(2)$ ·(4/3)
V=36·(4/3)
V=48
48 cm³

If a car travels at a speed of 25 mi/h for t hours, then travels 45 mi/h for m hours. What does the expression 25t + 45m represent

Answers

The expression of 25t +45m shows the total number of miles driven at both speeds. In order to solve this equation you would need to know the total number of hours driven in order to multiply that by the appropriate speed in terms of miles per hour.

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