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3 years ago

Round to the nearest hundredths

Mathematics

1 answer:

Gennadij [26K]3 years ago

7 0

Answer:

AC = 2.96

Step-by-step explanation:

Use the trigonometric ratio cosine:

cosine = adjacent ÷ hypotenuse

cos(65°) = AC ÷ 7

$cos(65) = \frac{AC}{7}$

Multiply both sides by 7:

7(cos(65)) = AC

(Note: Set your calculator to degrees!)

And plug 7(cos(65)) into your calculator to get:

AC ≈ 2.96

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From an upstairs window, I can see my neighbor’s fence. The angle of depression is 7 degrees. If my window is 15 ft off the grou

Tresset [83]

Answer:

1.84ft

Step-by-step explanation:

From the figure attached,

AB = Height of the window = 15ft

Let the distance between the base of the housr and the fence 'C' = xft

If the angle of depression = 7°

Then angle of elevation of the top of the fence from the house = 7°

Now from right triangle ABC,

tan7° = x/15

x = tan7°×15

x = 0.1227×15

x = 1.84ft

Therefore, distance of the house from the fence is 1.84ft

3 0

4 years ago

The running back for the Bulldogs football team carried the ball 5 times for a total loss of 11 1/4 yards. Find the average chan

Firdavs [7]

Answer:

$\displaystyle 2\ \frac{1}{4}$

Step-by-step explanation:

<u>Fractions</u>

They can be expressed as proper fractions, improper fractions or mixed numbers. Proper fractions are such that the numerator is less than the denominator, like 2/5, 7/11, -9/10. Improper fractions are those whose numerators are greater than the denominator, such as 5/3, 10/9, -21/8.

Mixed numbers are expressions made of whole numbers and a proper fraction, like 4 3/5, 1 1/2, -5 4/9. Mixed numbers can be transformed to improper fractions and vice-versa.

The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.

The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like

$\displaystyle 11+\frac{1}{4}=\frac{45}{4}$

This improper fraction will now be divided by 5 to find the average of 5 runs:

$\displaystyle \frac{\frac{45}{4}}{5}=\frac{9}{4}$

We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus

$\boxed{\displaystyle \frac{9}{4}=2\ \frac{1}{4}}$

6 0

4 years ago

A professor believes that students who smoke cigarettes tend to have lower grades. He collects data from 1326 randomly selected

andrew11 [14]

Answer:

No.

Step-by-step explanation:

His finding that "students who smoke cigarettes do indeed tend to have lower grade point averages than students who do not smoke" implies that there can be a connection between smoking and grades. It does not specifically refer to a causal relation that smoking causes lower grades. People who make bad decisions may choose not to study well and may choose to smoke.

3 0

4 years ago

Write parametric equations of the line with the equation 4x-6y=-12<br><br> HELP FAST

zimovet [89]

Answer: x = t, y = 2t/3 + 2

Step-by-step explanation:

You want to write both x and y in terms of t

so if you rearrange 4x - 6y = -12 you get

-6y = -4x - 12

6y = 4x + 12

y = 2x/3 + 2

set x = t

and y = 2t/3 + 2

and that's it!

another one you could do is

x = t/2

y = t/3 + 2

or even

x = 3t/2

y = t + 2

i like this one the most because it looks more elegant

4 0

3 years ago

Read 2 more answers

2) A jacket that is regularly priced at $175 is on sale, at a discount of 35%.

Mandarinka [93]

Answer:

$113.25

Step-by-step explanation:

35% of 175 is 61.25. Since it's 35% OFF we have to subtract 61.25 to 175 which is 113.25.

I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

5 0

3 years ago