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Talja [164]
3 years ago
7

A glass cube of side length 5cm has a mass of 306.25g.

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

2.45 g/cm3

Step-by-step explanation:

It's a cube, so all the side lengths are the same. It's volume is (5cm)^3 = 125 cm^3.

At this point, we apply the definition of density \rho = \frac mV where m is the mass and V the volume.\rho = \frac{306.25g}{125 cm^3} = 2.45 g/cm^3

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In right ∆LMN, sin M = 0.759. What is cos N? A. 0.121 B. 0.241 C. 0.349 D. 0.651 E. 0.759
Hatshy [7]

Answer:

E. 0.759

Step-by-step explanation:

You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN

The sine of angle ∠LMN is 0.759, find the value of ∠LMN

sin^-1(0.759)=49.38

∠LMN=49.38°

Find angle ∠LNM

You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence

∠LNM=180°-(90°+49.38°)

∠LNM= 180°-139.38°=40.62°

Find cos 40.62°

Cos 40.62°=0.7590

6 0
4 years ago
Please answer this geometry proof as soon as possible!
Kay [80]

Answer:

In order to get an answer you have to post a question.

Step-by-step explanation:

6 0
3 years ago
Suppose an aerial freestyle skier goes off a ramp with her path represented by the equation y=−0.024(x−25)2+40. If the surface o
Harlamova29_29 [7]

Answer:

Suppose an aerial freestyle skier goes off a ramp with her path represented by the equation y=−0.024(x−25)2+40. If the surface of the mountain is represented by the linear equation y=−0.5x+25, find the distance in feet the skier lands from the beginning

6 0
3 years ago
Find (hog)(-2)<br> h(x) = 3x<br> g(x) = 4x + 1
LenKa [72]

Answer:

h(-2)=-6

g(2)=-7

Step-by-step explanation:

Just plug 2 in for x and solve the equation.

3 0
3 years ago
I just don't know where to start. I'm doing Algebra 2 stuff with sohcahtoa.
mezya [45]

Hello!

As you can see, 22 is the opposite angle. We are looking for the adjacent angle. Let's just call it x. Using SOH CAH TOA, we see that the tangent is the opposite divided by the adjacent side. Let's use that.

tan54≈1.38

This gives us the equation below.

1.38=22/x

Let's solve this equation for x.

1.38x=22

x=22/1.38

x=15.94

Therefore, the length of the shadow is about 15.94 meters.

I hope this helps!

7 0
3 years ago
Read 2 more answers
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