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3 years ago

The angle measures of a triangle are shown in the diagram below

Mathematics

2 answers:

svlad2 [7]3 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

(7x+4)+(2x+5)+(5x+3) = 180

so if you take out the brackets it would be:

7x+4+2x+5+5x+3 = 180

Then you add the similar variables together which would look like:

14x+12=180

Take away 12 from both sides

14x = 180 - 12

14x = 168

Divide 14 from both sides

x = 168/14

x = 12

s344n2d4d5 [400]3 years ago

4 0

Answer:

x=12

Step-by-step explanation:

2x+5+5x+3+7x+4=180

14x+12=180

180-12=168

14x=168

x=12

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

Give it in the function f(x) equals 4X describe the transformation to the graph for the following f(x+1)

Andrew [12]

Answer:

f(x) is shifted 1 unit left

Step-by-step explanation:

The transformation accomplished by f(x-h) is to shift the graph of the function f(x) to the right by "h" units. Here, the value of h is -1, so the graph is shifted left by 1 unit.

8 0

3 years ago

you start out driving from your house to an old friends house in a different town, which is 280 miles away. after an hour and a

Semmy [17]

You would take 280-105=175 miles away and take 105 and divide that by your time 1.5 too get 70 mph

5 0

3 years ago

What is the area of this trapezoid?

Misha Larkins [42]

Answer:

132 in

Step-by-step explanation:

rectangle- 12(8)=96

triangle 1- 3(12)= 36 divide by 2 = 18

triangle 2- same as tri. 1

rapeziod- 96+18+18=132

4 0

3 years ago

If you owe your friend $3 and you have $15, which expression would help you find out how much money you would have left?

Tju [1.3M]

Answer:

Step-by-step explanation:

15 - 3 = 12

8 0

3 years ago