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3 years ago

Need help with number 3

Mathematics

1 answer:

MAVERICK [17]3 years ago

5 0

Vertical angles are always equal. The vertical angles are the ones opposite each other. Therefore x would equal 40.

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What ratios is equivalent to 36:60

ludmilkaskok [199]

3:5
6:10
This should be some.

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3 years ago

A prism with a base area of 3m^2 and a height of 4m^2 is dilated by a factor of 3/2 what is the volume of the dilated prism

lilavasa [31]

72 because 12times 4 is 48 then 3/2 times 48 and that is 144/2 then divide it and 72

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4 years ago

Slope = -3 passes through point (15, -50)

hram777 [196]

Answer:

y=-3x-5

Step-by-step explanation:

explanation is showed above

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3 years ago

The shorter side of a trapezoid is equal to its height, and the longer side is 3/2 times as long. If the area is 80, find the le

lara31 [8.8K]

Answer:

Step-by-step explanation:

Let s represent the length of the shorter base and height. Then (3/2)s is the length of the longer base.

The area formula for a trapezoid is ...

A = 1/2(b1 +b2)h

Filling in the given values, we have ...

80 = (1/2)(s +3/2s)s = 5/4s²

64 = s² . . . . . . . . . . . . . . . . . . . multiply by 4/5

8 = s . . . . . . . . . . . . . . . . . . . . . take the square root

The length of the shorter side is 8.

4 0

3 years ago

A toy maker claims his best product has an average lifespan of exactly 14 years. A skeptical quality control specialist asks for

slamgirl [31]

Answer:

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 % = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

$x = 19 \pm t* \times (\dfrac{s}{\sqrt{n}})$

$x = 19 \pm 2.692 \times (\dfrac{4}{\sqrt{45}})$

$x = 19 \pm 2.692 \times 0.5963$

$x = 19 \pm 1.6052$

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

4 0

3 years ago