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Anastaziya [24]
3 years ago
8

What is the width of a rectangular prism with the length of 13 feet volume of 11,232 ft in height of 36 feet

Mathematics
2 answers:
andriy [413]3 years ago
4 0
V=LWH
L=13
V=11232
H=36
sub
11232=13*W*36
11232=468W
divide both sides by 468
24=W

width=24 feet
omeli [17]3 years ago
3 0
Since the equation to find the volume of a rectangular prism is width * height * length = volume, we can find the width of this problem by substituting the "givens" in.

width * height * length = volume
width * 36ft * 13ft = 11,232ft
width * 468 ft = 11,232ft
width = 24 ft
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The difference between the squares of two consecutive numbers is 23. what are the two numbers?
Ksju [112]

(x+1)^2-x^2=23

x^2+2x+1-x^2=23

2x+1=23

2x=22

x=11

11^2 = 121

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12^2=144

144-121 = 23

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3 years ago
The table shows the outputs, y, for different inputs, x: Input (x) 6 12 15 25 Output (y) 14 15 15 16 Part A: Do the data in this
cluponka [151]

Answer:

Part A: No it is not a function

Part B: The equation

Part C: x = 3

Step-by-step explanation:

Part A - The table:

Input (x)    Output (y)

6                14

12               15

15               15

25              16

This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.

Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.

y = 7(6) -15

y = 42 - 15

y = 27

The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.

Part C: To find when y = 6, set it equal to 6 and solve for x.

6 = 7x - 15

21 = 7x

3 = x

5 0
3 years ago
Write the quadratic equation whose roots are 1 and −5, and whose leading coefficient is 4.
jarptica [38.1K]

Answer:

Standard Form: y = 4(x-1)(x+5)

Step-by-step explanation:

4 is the leading coefficient, so it should go in front. When making a standard quadratic equation, you must do the opposite for each of the roots (negative to positive, positive to negative.)

if you’re asking for a general form quadratic equation, then sorry, I am unable to help you with that :(

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2 years ago
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MariettaO [177]

Answer:

4.\ \sin E = \cos G

Step-by-step explanation:

Given

\triangle EFG

\angle F = 90^o --- right angle

Required

Which of the options is true

In a triangle, we have:

\angle E + \angle F + \angle G = 180^o --- angles in a triangle

Substitute \angle F = 90^o

\angle E + 90^o + \angle G = 180^o

Collect like terms

\angle E + \angle G = 180^o -90^o

\angle E + \angle G =90^o

This implies that E and G are complementary angles.

For complementary angles, E and G;

\sin E = \cos G and \sin G = \cos E

<em>Hence, (4) is true</em>

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