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3 years ago

Round your answer to this problem to the nearest degree.

Mathematics

2 answers:

Natasha2012 [34]3 years ago

7 0

Angle B = 45 because 8:120 and 3:45 are equivalent proportions

DENIUS [597]3 years ago

5 0

Answer:

The measure of ∠B is 18.9°

Step-by-step explanation:

Given triangle ABC in which

∠A = 120°, a = 8, and b = 3

we have to find ∠B

By sine law,

$\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}$

$\frac{\sin 120^{\circ}}{8}=\frac{\sin \angle B}{3}$

$\sin \angle B=3\frac{\sin 120^{\circ}}{8}=\frac{3}{16}\sqrt3$

$\angle B=sin^{-1}(\frac{3}{16}\sqrt3)=18.951\sim 18.9^{\circ}$

The measure of ∠B is 18.9°

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Lesechka [4]

L = (2,2)

H = (0,3)

G = (1,5)

M = (6,7)

P = (4,8)

C = (7,0)

8 0

3 years ago

Read 2 more answers

Part 2: describe the shape of your cross section of a slice of banana at 45° angle to a space draw picture of the sheep. Part 3:

xenn [34]

Answer:

Part 2:

The shape of a banana cut in 45° angle is that of a curve that is closed with the appearance of a flattened circle or an oval similar to an ellipse therefore having two focal points

The drawing of the angle cross section of a cylinder representing the banana is attached

Part 3:

When the banana is cut in half, perpendicular to the base of the banana, the shape formed is circular withe the center of the banana being about the same location as the center of the circle

The drawing of the perpendicular cross section of a cylinder representing the banana is

Step-by-step explanation:

8 0

3 years ago

A town has a population of 2000 and grows at 4.5% every year. To the nearest

madreJ [45]

21.1 should be the correct answer because 4.5% of 2000 is 90

8 0

3 years ago

Find the value of each variable

aniked [119]

Answer:

Answer d)

$a= 10*\sqrt{3}$ $b=5*\sqrt{3}$ , $c=15$ , and $d=5$

Step-by-step explanation:

Notice that there are basically two right angle triangles to examine: a smaller one in size on the right and a larger one on the left, and both share side "b".

So we proceed to find the value of "b" by noticing that it the side "opposite side to angle 60 degrees" in the triangle of the right (the one with hypotenuse = 10). So we can use the sine function to find its value:

$b=10*sin(60^o)= 10*\frac{\sqrt{3} }{2} = 5*\sqrt{3}$

where we use the fact that the sine of 60 degrees can be written as: $\frac{\sqrt{3} }{2}$

We can also find the value of "d" in that same small triangle, using the cosine function of 60 degrees:

$d=10*cos(60^o)=10* \frac{1}{2} = 5$

In order to find the value of side "a", we use the right angle triangle on the left, noticing that "a" s the hypotenuse of that triangle, and our (now known) side "b" is the opposite to the 30 degree angle. We use here the definition of sine of an angle as the quotient between the opposite side and the hypotenuse:

$sin(30^o)= \frac{b}{a} \\a=\frac{b}{sin(30)} \\a=\frac{5*\sqrt{3} }{\frac{1}{2} } \\a= 10*\sqrt{3}$

where we used the value of the sine function of 30 degrees as one half: $\frac{1}{2}$

Finally, we can find the value of the fourth unknown: "c", by using the cos of 30 degrees and the now known value of the hypotenuse in that left triangle:

$c=10*\sqrt{3} * cos(30^o)=10*\sqrt{3} *\frac{\sqrt{3} }{2} \\c= 5*3=15$

Therefore, our answer agrees with the values shown in option d)

6 0

3 years ago

What is the area of this figure? Enter your answer in the box. [_] m²

Georgia [21]

Answer: 81 m^2

Step-by-step explanation:

Parallelogram:

9 × 5 = 45

Triangle:

8 × 9 = 72

72 ÷ 2 = 36

Add:

45 + 36 = 81 bro look i even did an explation can u plz mark brainlist

6 0

3 years ago

Read 2 more answers