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kodGreya [7K]
3 years ago
14

7. Solve for 6s3(5s2)(3s4) =

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Simplify  (we cannot solve if there is no equals)

6s^3(5s^2)(3s^4)

multiply the coefficients, add the exponents since the bases are the same

(6*5*3) s^(3+2+4)

90 s^(9)

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A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *
Luda [366]

Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

pizza area = pi*(7)² = 153.86 square inches

Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area  / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

4 0
3 years ago
Factorise the following quadratic equations ​
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

x² + x - 6 = (x + 3)(x - 2)

17

x² - 27x + 50 = (x - 25)(x - 2)

19

r² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

r² - 25

= r² - 5² = (r - 5)(r + 5)

5 0
3 years ago
Read 2 more answers
Please help me
yKpoI14uk [10]

9514 1404 393

Answer:

  A)  5x+12 = -12x-12

  D)  5x+12 = -5x-12

Step-by-step explanation:

If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.

A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution

B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions

C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions

D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution

6 0
3 years ago
Describe how to solve an exponential equation with unlike bases.
kari74 [83]

Answer:

Mark me as brainlist

Step-by-step explanation:

Use logarithms to solve exponential equations whose terms cannot be rewritten with the same base

Solve exponential equations of the form    

y

=

A

e

k

t

 for t

Recognize when there may be extraneous solutions or no solutions for exponential equations

4 0
3 years ago
Read 2 more answers
An aquarium 5 ft long, 3 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.) (a)
Cerrena [4.2K]

Answer:

a) hydrostatic pressure at bottom = 10054.375 lb/ft-s2

b) hydrostatic force at bottom = 150815.625 lb-ft/s2

c) hydrostatic force at one end of aquarium = o

Step-by-step explanation:

Detailed explanation and calculation is shown in the image below

8 0
3 years ago
Read 2 more answers
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