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Lady bird [3.3K]
3 years ago
13

6) Lynn wrote two integers on the chalkboard. The integers she wrote were 45 and -17. What is

Mathematics
1 answer:
lana [24]3 years ago
8 0
45+-17
This is the same as subtracting 17 from 45
45-17=28
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7.3×9.6 show your work
Alex_Xolod [135]
            1
            7.3
         x 9.6 
          -------  
           438
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       69. 0 8, hope that helped
6 0
3 years ago
The radius of Earth is about 3960 miles. The radius of the moon is about 1080 miles. a. Find the surface area of Earth and the m
Molodets [167]

A) The formula for surface area of a sphere is A = 4*PI*r^2

using 3.14 for PI:

Surface area for Earth = 4 * 3.14 x 3960^2 = 196,960,896 miles^2

Surface area of the moon: 4 * 3.14 * 1080^2 = 14,649,984 miles^2

B)Divide the Surface of the Earth by the moon:

196,960,896 / 14,649,984 = 13.44

The Earths surface is 13.4 times larger than the moon.

C) Multiply the surface of the Earth by 70%:

196,960,896 * 0.70 = 137,872,627.2 million square miles of water.

4 0
3 years ago
Solve the following equation for x.<br> 12x - 8 = 40<br><br> A. 4<br> B. 5<br> C. 6<br> D. 3
Anon25 [30]

Add 8 to both sides

12x = 40 + 8

Simplify 40 + 8 to 48

12x = 48

Divide both sides by 12

x = 48/12

Simplify 48/12 to 4

<em>x = 4</em>

<u>Answer: A. 4</u>

7 0
3 years ago
Read 2 more answers
The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
3 years ago
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectil
BartSMP [9]

Answer:

226 feet

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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