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3 years ago

Use a calculator to find the value of Tan 27o. Round to four decimal places.

Mathematics

1 answer:

GrogVix [38]3 years ago

6 0

Recall that the tangent function is defined as tan theta = opp / adj.

The angle 270 has a zero "adj side." We cannot divide by zero. Thus,

tan 270 is undefined. Note also that tan 90 degrees is also undefined.

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Riley invested $1,000 in savings bonds. If bonds earn 6.75% interest compounded semi-annually, how much will riley earn in 15 ye

lara31 [8.8K]

Answer:

$2,706.86

Step-by-step explanation:

8 0

2 years ago

In the function f(x) = -720h + 10080, the "h" is the number of hours the pool has been draining. Explain in your words how much

Nataly [62]

f(x) = -720h + 10080

10080 is the total amount of water in the pool, 720 is the amount of water you lose each hour.

"h" is the number of hours the pool has been draining, and since you know the pool has been draining for 12 hours, you can plug in 12 for "h".

f(x) = -720h + 10080

f(x) = -720(12) + 10080

f(x) = -8640 + 10080

f(x) = 1440

After 12 hours of draining, 1440 is the amount of water left in the pool. (I don't know the units [ex: gallons, etc.])

3 0

3 years ago

Mary is going for a walk. She walks 12.5 miles in 5 hours. What is her speed

xz_007 [3.2K]

To find her speed, divide the total distance by the total time:

12.5 miles / 5 hours = 2.5 miles per hour.

3 0

3 years ago

PLEASE HELP! WILL GIVE 70 POINTS!!

Tresset [83]

Answer:

$A=189\ mm^2$

Step-by-step explanation:

<u>Surface Areas </u>

Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.

Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is

$\displaystyle A_t=2*\frac{b.h}{2}=b.h=(4.5)(6)=27 mm^2$

The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus

$A_f=b.h=(7.5)(9)=67.5 \ mm^2$

The back left area is another rectangle of 4.5 mm by 9 mm

$A_l=b.h=(4.5)(9)=40.5 \ mm^2$

Finally, the back right area is a rectangle of 6 mm by 9 mm

$A_r=b.h=(6)(9)=54 \ mm^2$

Thus, the total surface area of the prism is

$A=A_t+A_f+A_l+A_r=27+67.5+40.5+54=189\ mm^2$

$\boxed{A=189\ mm^2}$

4 0

2 years ago

Simplify −2(2h+10)+4h

Anuta_ua [19.1K]

First distribute: -4h - 20 + 4h
Combine like terms: -20
The answer is -20

7 0

3 years ago

Read 2 more answers