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4 years ago

PLS dont give any nonsense answers!!!!

Mathematics

1 answer:

Nata [24]4 years ago

4 0

Answer:

Volume of block = 145.8 cc (Answer A)

Step-by-step explanation:

Recall that (Density)(Mass) = Volume

Here we have (2.7 gr/cc)(54 gr) = Volume of block = 145.8 cc (Answer A)

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3 years ago

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In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest inch.

dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

$m\angle G+m\angle H+m\angle I=180^\circ$

$30^\circ+29^\circ+m\angle I=180^\circ$

$59^\circ+m\angle I=180^\circ$

$m\angle I=180^\circ-59^\circ$

$m\angle I=121^\circ$

According to Law of sines,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using Law of sines, we get

$\dfrac{h}{\sin H}=\dfrac{i}{\sin I}$

$\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}$

$\dfrac{300}{0.4848}=\dfrac{i}{0.8572}$

Multiply both sides by 0.8572.

$\dfrac{300}{0.4848}\times 0.8572=i$

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3 years ago

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, durin

grigory [225]

Answer:

$5\ \frac{miles}{hour}$

Step-by-step explanation:

The complete question is

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?

Time Elapsed (Hours) Miles Traveled (Miles)

0.50 2.00

0.75 3.50

1.00 4.75

Let

x ----> the time in hours

f(x) ----> the distance traveled in miles

we have

x (Hours) 0.50 0.75 1.00

f(x) (Miles) 2.00 3.50 4.75

we know that

To find the average speed, we divide the change in the output value by the change in the input value

the average speed is equal to

$\frac{f(b)-f(a)}{b-a}$

In this problem we have

$a=0.75$

$b=1.00$

$f(a)=f(0.75)=3.50$

$f(b)=f(1.00)=4.75$

Substitute

$\frac{4.75-3.50}{1-0.75}$

$\frac{1.25}{0.25}$

$5\ \frac{miles}{hour}$

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