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3 years ago

Find x in the following diagram

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

8 0

Answer:

x = 71

Step-by-step explanation:

The sum of the measures of the exterior angles of a polygon is always 360°.

A triangle has 3 exterior angles.

152+ 137+x = 360

Combine like terms

289 +x = 360

Subtract 289 from each side

289-289+x=360-289

x = 71

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PLEASE HELP ASAP!!

Nitella [24]

Answer:

The radius of a sphere is 2 millimeters

The surface area of a sphere is 50.24 square millimeters.

The circumference of the great circle of a sphere is 12.56 millimeters.

Step-by-step explanation:

Verify each statement

case A) The radius of a sphere is 8 millimeters

The statement is false

we know that

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=100.48/3\ mm^{3}$

$\pi =3.14$

substitute and solve for r

$100.48/3=\frac{4}{3}(3.14)r^{3}$

$r^{3}=(100.48)/(4*3.14)$

$r=2\ mm$

case B) The radius of a sphere is 2 millimeters

The statement is True

(see the case A)

case C) The circumference of the great circle of a sphere is 9.42 square millimeters

The statement is false

The units of the circumference is millimeters not square millimeters

The circumference is equal to

$C=2\pi r$

we have

$r=2\ mm$

$\pi =3.14$

substitute

$C=2(3.14)(2)$

$C=12.56\ mm$

case D) The surface area of a sphere is 50.24 square millimeters.

The statement is True

Because

The surface area of the sphere is equal to

$SA=4\pi r^{2}$

we have

$r=2\ mm$

$\pi =3.14$

substitute

$SA=4(3.14)(2)^{2}$

$SA=50.24\ mm^{2}$

case E) The circumference of the great circle of a sphere is 12.56 millimeters.

The statement is true

see the case C

case F) The surface area of a sphere is 25.12 square millimeters

The statement is false

because the surface area of the sphere is $SA=50.24\ mm^{2}$

see the case D

7 0

3 years ago

Read 2 more answers

Ben bought 10 liters of soda. How many gallons is this? (Round to the nearest tenth)

Kay [80]

Answer:

2.64172

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Please help it’s for Alex

nasty-shy [4]

Okay so the y is in absolute value, which means the number could be a negative and the absolute value would make is a positive.
since the sign is greater than, with no equal to underneath it, than the answer cant be 3 or -3.
the number has to total to be larger than 3. again, since the absolute value turns the negatives into positives, then -4 is an acceptable answer. so the absolute value line should look like the above (please excuse the terrible look). I simplified it to the two numbers that start the equation. the two circle are open circles because the sign does not include an equal sign under it. you draw the arrows on either side of the two numbers because any answer beyond those arrows fits in with the equation
| 4 |
| 184728 |
| -4.5829492994929492949572728 |

did that answer the problem?