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vova2212 [387]
3 years ago
13

Please help!!! 50 points!!

Mathematics
2 answers:
Harrizon [31]3 years ago
8 0

Answer:

its already answered so i hope this is ok

Step-by-step explanation:

Tamiku [17]3 years ago
4 0
#1,

The domain is all of the x-values.

The x-values of the set are: 2, 15, 21, 24

Your answer is C.


#2,

Part A)
Yes, the data in the table represents a function because each x-value has exactly one y-value. Also, the function passes the vertical line test.

Part B)
f(x) = 5x - 21
f(11) = 5(11) - 21
f(11) = 55 - 21
f(11) = 34

The table has a y-value of 8, when x = 11.

Therefore, f(x) = 5x - 21 has a greater value than the table when x = 11

Part C)
f(x) = 99
f(x) = 5x - 21

5x - 21 = 99
5x = 120
x = 24

The value of x is 24.
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Answer:

=12

Step-by-step explanation:

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5 0
2 years ago
A triangle has side lengths of 15, 10, and 7. Is this triangle a right triangle
Montano1993 [528]

Answer:

No

Step-by-step explanation:

Apply Pythagorean theorem: a2 + b2 = c2

The sum of the squares of the legs of a right triangle equals the square of its hypotenuse.

I hope this answer will help you. Have a nice day !

4 0
3 years ago
What are the zeros of the function?
d1i1m1o1n [39]
F(x) factors as
  f(x) = x(x+1)(x-3)
so has zeros of x = -1, 0, 3, because these values make the factors be zero.

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  C. -1, 0, and 3

5 0
3 years ago
Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the shape of a square pyramid and
Zina [86]

Answer:

56√93 ≈ 540 ft²

Step-by-step explanation:

The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.

Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height / other leg is:

\sqrt{17^2-14^2} =\sqrt{289-196} =\sqrt{93}

We now have the dimensions of each triangle: the height is √93 and the base is 28. The area of a triangle is: A = (1/2) * b * h, so we have the following.

A = (1/2) * b * h

A = (1/2) * 28 * √93 = 14√93

Multiply this by 4:

14√93 * 4 = 56√93

The total surface area is 56√93 ≈ 540 ft².

4 0
2 years ago
Read 2 more answers
The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.​
erma4kov [3.2K]

Answer:

  • CSA of the cylinder = 440 sq. cm

  • Volume of the cylinder = 1540 cu. cm

\\

Step-by-step explanation:

Given:

  • Radius of the cylinder = 7 cm
  • Height of the cylinder = 10 cm

\\

To Find:

  • Curved surface area
  • Volume

\\

Solution:

\\

Using formula:

\dashrightarrow \:  \:  { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA  \: of  \: cylinder = 2\pi rh}}}}}}  \:  \star \\  \\

<em>Substituting the required values: </em>

\\

\dashrightarrow \:  \:  \sf CSA {(cylinder)} = 2 \times \dfrac{22}{7} \times 7 \times  10 \\  \\  \\  \dashrightarrow \:  \:  \sf CSA {(cylinder)}  = 2 \times 22 \times 10 \\  \\ \\   \dashrightarrow \:  \:  \sf CSA {(cylinder)} = 44 \times 10 \\  \\  \\  \dashrightarrow \:  \:  \sf CSA {(cylinder)}  = 440 \:  {cm}^{2}  \\ \\ \\

Now,

\dashrightarrow \:  \:  { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}=  \pi {r}^{2} h}}}}}}  \:  \star \\  \\ \\

<em>Substituting the required values, </em>

\\

\dashrightarrow \:  \:   \sf Volume {(cylinder)}=  \dfrac{22}{7}  \times  {(7)}^{2}  \times 10 \\ \\  \\  \dashrightarrow \:  \:   \sf Volume {(cylinder)}=  \frac{22}{7}  \times 49  \times 10 \\ \\ \\  \dashrightarrow \:  \:   \sf Volume {(cylinder)}= 22 \times 7 \times 10 \\ \\  \\  \dashrightarrow \:  \:   \sf Volume {(cylinder)}= 1540 {cm}^{3}  \\ \\ \\

Hence,

  • CSA of the cylinder = 440 sq. cm

  • Volume of the cylinder = 1540 cu. cm
8 0
2 years ago
Read 2 more answers
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