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Slav-nsk [51]
2 years ago
13

5÷6 is 5/6. What is 1/6 of 5?

Mathematics
1 answer:
Vlad [161]2 years ago
8 0

Answer:

5/6

Step-by-step explanation:

1/6 of 5 is the same:  (1/6)(5) = 5/6

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A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base
Olenka [21]

Answer:

The base of triangle is  \frac{8}{\sqrt{3}} \ m and the height of triangle is  \frac{12}{\sqrt{3}} \ m.

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = x\times\frac{1}{2} =\frac{x}{2} \ m.

The height of triangle = x\times \frac{3}{4} =\frac{3x}{4}\ m.

The area of triangle = 16\ m^2.

Now, we put the formula of area to solve:

Area=\frac{1}{2} \times base\times height

16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}

16=\frac{3x^2}{16}

<em>Multiplying both sides by 16 we get:</em>

<em />256=3x^2<em />

<em>Dividing both sides by 3 we get:</em>

<em />\frac{256}{3} =x^2<em />

<em>Using square root on both sides we get:</em>

\frac{16}{\sqrt{3}}=x

x=\frac{16}{\sqrt{3}}

Now, by substituting the value of x to get the base and height:

Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.

<em>So, the base of triangle = </em>\frac{8}{\sqrt{3}} \ m.<em />

Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.

<em>Thus, the height of triangle =  </em>\frac{12}{\sqrt{3}} \ m.<em />

Therefore, the base of triangle is  \frac{8}{\sqrt{3}} \ m and the height of triangle is  \frac{12}{\sqrt{3}} \ m.

7 0
3 years ago
How are u supposed to find the area only with the circumference?
seraphim [82]

Answer:

We can find the radius from circumference and then area

Circumference(C) = 2πr

r = C/2π

r = 20/2π

r = 10/π

Area = πr²

Area = π × 10/π × 10/π

Area = 100/π

Area = 100/3.14

Area = 10000/314 = 31.84 cm² (approx)

Area = 32 cm² (Rounding to nearest whole number)

6 0
2 years ago
Read 2 more answers
Expand the following expressions by multiplying out the brackets <br> -4(4f+3)
melisa1 [442]

Answer:

- 16f - 12

Step-by-step explanation:

- 4(4f + 3) ← multiply each term in the parenthesis by - 4

= - 16f - 12

6 0
2 years ago
Read 2 more answers
Roberta needs 355 beads a large box holds 100 beads a medium box hold 10 a small box hold 1 Roberta already has 3 large boxes an
Phantasy [73]
I think that she would need 5 medium boxes because

3 large = 300 beads
5 medium= 50 beads
5 small = 05 beads
that all = 355 beads in total
7 0
3 years ago
Sam had $300 saved to buy a computer. The computer cost $750. If he works for 3 months, how much does he need to earn every mont
zalisa [80]

Answer:

$150 every month

Step-by-step explanation:

750

<u>-300</u>

$450/3

=$150

8 0
2 years ago
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