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2 years ago

Find the missing measurement (indicated by a "?").

Mathematics

1 answer:

icang [17]2 years ago

5 0

Answer:

The missing measurement is 9 miles

Step-by-step explanation:

we know that

The Area of a parallelogram is equal to

$A=bh$

where

b is the length of any base

h is the corresponding altitude

The altitude (or height) of a parallelogram is the perpendicular distance from the base to the opposite side (which may have to be extended).

In the figure, the altitude corresponding to the base is 4 miles

substitute

$36=b(4)$

Solve for b

Divide by 4 both sides

$b=\frac{36}{4} =9\ mi$

therefore

The missing measurement is 9 miles

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Javier has a model of a cone with a radius of 3 inches and a height of 10 inches. Javier increased his model’s volume by doublin

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Answer:

$240 \pi\ in^{3}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z------> the scale factor

x-----> the volume of the larger cone

y-----> the volume of the original cone

$z^{3}=\frac{x}{y}$

In this problem we have

$z=2$ -----> scale factor

substitute

$2^{3}=\frac{x}{y}$

$8=\frac{x}{y}$

$x=8y$

That means-----> The volume of the larger cone is 8 times the volume of the original cone

Find the volume of the original cone

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=3\ in$

$h=10\ in$

substitute

$V=\frac{1}{3}\pi (3^{2})(10)=30 \pi\ in^{3}$

therefore

The volume of the larger cone is equal to

$8*30 \pi\ in^{3}=240 \pi\ in^{3}$

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2 years ago

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A dolphin swims 665,280 feet in 3 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represent

liraira [26]

Answer:

Answers Below

Step-by-step explanation:

Part A:

r=d/t

Part B:

r=665280/3

r=221760

Part C:

221760/5280 = 42mph

Part D: Miles per Hour, because it is easier to understand

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djyliett [7]

The answer is;

160 + (-125) + 40 = 75

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Answer: a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

$x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)$

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

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Answer:

Step-by-step explanation:

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