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suter [353]
3 years ago
10

Find the missing side or angle.

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°,  and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

\frac{b}{Sin B} = \frac{c}{Sin C}

\frac{4}{Sin 18^{o} } = \frac{c}{Sin 152^{o} }

c = \frac{4* Sin 152^{o} }{Sin 18^{o} }

 = \frac{1.8779}{0.3090}

 = 6.0773

c = 6.1

Therefore,  the value of the missing side, c, is 6.1

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Match each injury with a long-term consequence.
jekas [21]

Answer:

I think

"Quadriplegia" would go with a "spinal cord injury".

Quadriplegia is a spinal cord injury that causes you to lose feelings in all four limbs.

A "knee injury" would go with "Limited ability to walk and run."

"Headaches" with "traumatic brain injury."

Hope this helps!

4 0
3 years ago
Read 2 more answers
Mr. Stanford’s greenhouse has the dimensions shown. The volume of the greenhouse is 90 cubic yards. Find the missing dimension o
bulgar [2K]

Answer:

h=10\ yd

Step-by-step explanation:

we know that

The volume of the triangular prism of the figure is equal to

V=Bh

where

B is the area of the triangular base

h is the height of the triangular prism

Find the value of B

B=\frac{1}{2}(6)(3)=9\ yd^{2}

we have that

V=90\ yd^{3}

substitute the values and solve for h

90=9h

h=90/9=10\ yd

5 0
3 years ago
The measure of an angle is 60° less than nineteen times the measure of its supplement. what is the measure of the angle?
DerKrebs [107]
Two angles are supplementary when they <span>add up to 180 degrees.

x = angle
19x-60 = </span><span>supplement angle

x + 19x - 60 = 180
20x = 180 + 60
20x = 240
x = 240/20
x = 12</span>°  ← answer
3 0
3 years ago
Jordan is a teacher and takes home 40 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many pa
Mazyrski [523]

Answer:

10

Step-by-step explanation:

6x5=30

40-30=10

6 0
3 years ago
Read 2 more answers
What’s the volume of <br> 1.)<br> V=txrxrxh<br> = 3.14 X 3 X 3 X 4<br> 5 cm<br> 12 cm
KonstantinChe [14]

9514 1404 393

Answer:

 A)  (3 cm x 4 cm ÷ 2) x 3 cm

Step-by-step explanation:

The volume is the product of the area of the triangular bases and the distance between them.

Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...

 A = (1/2)bh

 A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2

__

The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...

 V = Bh

 V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A

There aren't any more steps. The answer starts by saying how the volume is computed. Then it shows how to find the numbers that go into that computation. Finally, it puts all that together in the form that is required to match an answer choice.

It might also be useful for you to draw the net to scale on a piece of paper, cut it out, and fold it along the lines to actually make a triangular prism. A little hands-on is always helpful in math. It only takes 5 or 10 minutes and can give you great insight into both prisms and nets.

7 0
3 years ago
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