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daser333 [38]
4 years ago
9

I need 3 questions answered please.​

Mathematics
1 answer:
kakasveta [241]4 years ago
8 0

Answer:

3) \:  \: 113 {ft}^{2}

4) \: false

5) \: 70 {ft}^{2}

Step-by-step explanation:

3) Area of a circle is

\pi \times  {r}^{2}

Where r = 6

Thus,

area =   \frac{22}{7}  \times  {6}^{2}

area =  \frac{22}{7}  \times 36

area = 3.143 \times 36

area = 113 {ft}^{2} \: (nearest \: whole \: number)

4) False

Area of a circle is measured by the formula below:

area = \pi \times  {r}^{2}

5) The formula for calculating the area of a rectangle is given thus:

area \: of \: a \: rectangle = l \times w

Where, l = 10ft; w = 7ft

area = 10ft \times 7ft = 70 {ft}^{2}

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Find the values of x and y that make the following quadrilateral a parallelogram.
lidiya [134]

Answer:

x = 3 and y = 14

Step-by-step explanation:

opposite angles of a parallelogram are congruent. Hence,

1) 7y + 2 = 6y + 16

I. e. 7y - 6y = 16 - 2

I. e. y = 14

2) 8x + 8 = 6x + 14

I. e. 8x - 6x = 14 - 8

I. e. 2x = 6

I. e. x = 6/2

I. e. x = 3

7 0
3 years ago
a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the con
jolli1 [7]

The volume V_c of a cone  with base radius r_c and height h_c is

V_c = \dfrac{1}{3}\pi r_c^2 h_c

Similarly, the volume V_s of a sphere with radius r_s is

V_s = \dfrac{4}{3}\pi r_s^3

We know that V_c=V_s and that h_c=96

So, we can set up the following equation:

\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3

We can simplify the common denominator 3, and pi appearing on both sides:

96r_c^2=4r_s^3

We can divide both sides by 4:

24r_c^2=r_s^3

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

3 0
4 years ago
Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. She is _____ per
valkas [14]

Answer:

Tiffany is 34% closer to the school.

Step-by-step explanation:

Given the statement: Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away.

She lived away from the school = 15 km

as, she moved 9.9 km away.

Now, the distance closer to school from where she lived = 15 -9.9 = 5.1 km

To, find how much percent she is closer to school.

Percent states that a number or ratio expressed as a fraction of 100.

percent = \frac{5.1}{15} \times 100 = \frac{51 \times 100}{150} = \frac{51 \times 10}{15}

Simplify:

percent closer to school = 34%

Therefore, she is 34% closer to the school.



5 0
4 years ago
5. The Smith family is driving to a vacation spot. The
Y_Kistochka [10]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
Matrix A has order 4 x 8, Matrix B has order 4 x 16.
Scorpion4ik [409]
Matrix A order is 4x8.
Matrix B order is 4x16.
AB cannot result because an (m x n) can only be multiplied by an (n x p) matrix and orders don't match the requirements.
BA has the same negative result.
3 0
3 years ago
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