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3 years ago

Find the number that makes the 2 fractions equivalent 3/8=9/?

Mathematics

2 answers:

Lorico [155]3 years ago

6 0

Answer:

Step-by-step explanation:

The numerator of the equivalent fraction of 3/8 is 9. From this, we can see that the common factor that is being multiplied is 3. So the denominator, 8, has to be multiplied by 3 as well which gives you 24. 9/24 is an equivalent fraction of 3/8

denpristay [2]3 years ago

5 0

Answer:

Step-by-step explanation:

3/8 = 9/x

3x = 72

x = 24

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Find the sum: (n + 7) + (n - 14)

Vika [28.1K]

Answer:

2n - 7

Step-by-step explanation:

To get the sum you would combine like terms.

So:

n + n= 2n

7 + -14 = 7 - 14 = -7

Put it together:

2n - 7

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3 years ago

Evaluate for c = -3 9 - c

ki77a [65]

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3 years ago

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3 years ago

What is the area of the figure?

masya89 [10]

Step-by-step explanation:

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3 years ago

NO LINKS!!! Part 2: Find the Lateral Area, Total Surface Area, and Volume. Round your answer to two decimal places.

slava [35]

Answer:

<h3>Question 7</h3>

Lateral Surface Area

The bases of a triangular prism are the triangles.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

$\implies \sf L.A.=2(10 \times 6)+(3 \times 6)=138\:\:m^2$

Total Surface Area

Area of the isosceles triangle:

$\implies \sf A=\dfrac{1}{2}\times base \times height=\dfrac{1}{2}\cdot3 \cdot \sqrt{10^2-1.5^2}=\dfrac{3\sqrt{391}}{4}\:m^2$

Total surface area:

$\implies \sf T.A.=2\:bases+L.A.=2\left(\dfrac{3\sqrt{391}}{4}\right)+138=167.66\:\:m^2\:(2\:d.p.)$

Volume

$\sf \implies Vol.=area\:of\:base \times height=\left(\dfrac{3\sqrt{391}}{4}\right) \times 6=88.98\:\:m^3\:(2\:d.p.)$

<h3>Question 8</h3>

Lateral Surface Area

The bases of a hexagonal prism are the pentagons.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

$\implies \sf L.A.=5(5 \times 6)=150\:\:cm^2$

Total Surface Area

Area of a pentagon:

$\sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}a^2$

where a is the side length.

Therefore:

$\implies \sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}\cdot 5^2=43.01\:\:cm^2\:(2\:d.p.)$

Total surface area:

$\sf \implies T.A.=2\:bases+L.A.=2(43.01)+150=236.02\:\:cm^2\:(2\:d.p.)$

Volume

$\sf \implies Vol.=area\:of\:base \times height=43.011193... \times 6=258.07\:\:cm^3\:(2\:d.p.)$

8 0

2 years ago