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3 years ago

Find the circumference

Mathematics

2 answers:

mr_godi [17]3 years ago

6 0

<em> $answer \\ 37.68 \: ft \\ solution \\ r = 6 \: ft \\ d = 6 \times 2 = 12 \: ft \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 37.68 \: ft \\ hope \: it \: helps$ </em>

ss7ja [257]3 years ago

5 0

Answer:

C=37.680

Step-by-step explanation:

The diameter is 2x the radius, so 6x2 is 12. 12x3.14 = 37.680.

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What is the height of the triangle? 12 units 24 units 36 units 72 units.

konstantin123 [22]

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.

<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is $16 \sqrt{3}$ units.

As all the sides are equal thus the $\Delta MNO$ is a equilateral triangle in which the height of the divides the triangle into two equal part of the length $8\sqrt{3}$ at point <em>R.</em>

<h3>Height of the triangle-</h3>

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the $\Delta MRN$ , the length of the hypotenuse is $16 \sqrt{3}$ units and the length of the base is $8\sqrt{3}$ units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

$(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2$

Solve for <em>h,</em>

<em />

<em /> $\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end$ <em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

5 0

2 years ago

Regular hours worked = 40; Overtime hours worked = 8; Regular rate of pay = $8.25 per hour*

tresset_1 [31]

Answer:

$396

Step-by-step explanation:

Rate of pay per hour = $8.25
Regular hours worked = 48
Overtime hours worked = 8
Total hours worked = 40 + 8
= 48

∴ Money earned in a day = 48 × $8.25
= $396

Hope this helps!

3 0

2 years ago

The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in

cestrela7 [59]

Answer:

Step-by-step explanation:

The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.

Constant of proportionality = $\frac{E}{h}$

From the graph given, when h = 5, E = 40.

Therefore:

Constant of proportionality = $\frac{E}{h} = \frac{40}{5} = 8$

4 0

3 years ago

Draw two different figures that each have a perimeter of 20 units

sergij07 [2.7K]

Answer:

⬛️⬛️⬛️⬛️

⬛️⬛️⬛️⬛️ (4 by 6)

⬛️⬛️⬛️⬛️

⬛️⬛️⬛️⬛️⬛️⬛️⬛️

⬛️⬛️⬛️⬛️⬛️⬛️⬛️ (7 by 3)

⬛️⬛️⬛️⬛️⬛️⬛️⬛️

Step-by-step explanation:

6 0

3 years ago

Through (-1,-4), parallel to y=7x-4

sweet [91]

Y=7x+3

They are parallel so the slope is the same and plug in the two coordinates to get the y intercept. This gives you y=7x+3

7 0

3 years ago