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2 years ago

Examine △ABC shown below. What is the measure of angle B?

Mathematics

1 answer:

zimovet [89]2 years ago

7 0

Answer:

b = 57.6

Step-by-step explanation:

23 +3x +13 +2x=180

add the x's

add the others

23+13=36

subtract 36 on both sides

36-36=0

180-36= 144

now get your 5x and divide by 5 on both sides

5/5 cancels out

144/5= 28.8

x= 28.8

now to find b

2·28.8= 57.6

to find 3x do the same

3 · 28.8 = 86.4

now double-check your answer by adding them all up and seeing if it = 180

57.6+86.4+36=180

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Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches

grigory [225]

Volume:

$V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

$V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}$

So:

$V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height$

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

$r=\frac{8}{2}=4in$

And the height of the cylinder is:

$h=15in$

So:

$V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3$

The volume of a hemisphere is half the volume of a sphere, hence:

$V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3$

Finally, the volume of the composite figure is:

$V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0

3 years ago

I Need Help Pwease :-><br> ******************************

MissTica

Answer:

Area: 135 ft^2

Perimeter: 50 ft

Step-by-step explanation:

area:

take the rectanle so length 12 x 9 = 108 so that is the length of the rectangle and now we need to find that of the triangle left over

subract 18 - 12 = 6 so that is the base of the trianle and we know the side length is 9 so plus it in A = (9)(6)/2

A = 54/2

A = 27

add 27 + 108 to get the total area

135

perimeter:

18 + 9 + 11 + 12 = 50

5 0

3 years ago

Read 2 more answers

How can you tell a situation is exponential from a graph

igor_vitrenko [27]

Answer: You are usually multiplying

Step-by-step explanation: The graph usually curves and not straight.

6 0

4 years ago

What is the measure of angle J in the triangle below? <br> A. 99<br> B. 42 <br> C. 9<br> D. 48

Leya [2.2K]

For this use the law of sines:
$\sin( \alpha ) \div a = \sin( \beta ) \div b \\ \sin( \alpha ) \div 11 = \sin(103) \div 16$
$\frac{ \sin( \alpha ) }{11} = \frac{0.97}{16}$
cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:
${ \sin}^{ - 1} (0.67) = 42.06 = 42.1 \: deg$
therefore answer B. 42 is the correct answer!!

4 0

3 years ago

Enter a range of values for x.<br> JO<br> Sx-3<br> [? ] ]<br> Answer<br> Entor

BabaBlast [244]

Where is the question?

5 0

3 years ago