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3 years ago

A triangle has height 15in. and area 120in squared. what is the length of its base?

Mathematics

2 answers:

Svetlanka [38]3 years ago

8 0

area for triangle = 1/2 x b x h

area = 120

height = 15

120 = 1/2 * b * 15

divide both side by 1/2

240 = b *15

divide both sides by 15

b = 240/15 = 16

base is 16 inches

check: 1/2* 16 *15 = 120 sq. in.

Brums [2.3K]3 years ago

3 0

The formula for the area of a triangle is Area=.5(b)(h)

So fill in what you know:

120=.5b*15

Then solve for b.

120=7.5b
b=16

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One cubic meter of water weighs approximately 2200 pounds. There are 100 cm in one meter. If you have a box-shaped fish tank tha

Diano4ka-milaya [45]

Answer:

158.4 pounds

Step-by-step explanation:

first find the volume of the tank

$V = 30 \times 30 \times 80$

$V = 72000 cm^3$

to convert this to m^3 we know that 1m = 100cm

$V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3$

$V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}^3}{100^3\,\text{cm}^3}\right)$

the cm^3 cancel out.

$V = \dfrac{72000}{100^3} m^3$

$V = 0.072\,m^3$

by simply converting the side-lengths to meters beforehand can give you this answer directly:

$V = 0.3 \times 0.3 \times 0.8 = 0.072 m^3$

it is given that 1 meter cube of water weighs about 2200 pounds.

$1\,m^3 = 2200 \,\text{lb}$

multiply both sides with 0.072 to find our answer:

$1\,m^3 \times 0.072 = 2200 \times 0.072 \,\text{lb}$

$0.072\,m^3 = 158.4 \,\text{lb}$

hence the weight of the water in the tank would be 158.4 pounds!

3 0

3 years ago

Given: 8x-61=17, prove: 39/4

Degger [83]

Answer:

The solution is $x = \frac{39}{4}$

Step-by-step explanation:

We are given the following equation:

8x - 61 = 17

We want to find the solution, that is, the value of x. So

$8x - 61 = 17$

$8x = 78$

$x = \frac{78}{8}$

Simplifying by 2

$x = \frac{39}{4}$

The solution is $x = \frac{39}{4}$

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3 years ago

The sum of the first and third of three consecutive integers is 140. find the three even integers

Elina [12.6K]

Answer:

It would be 68,70,72

Step-by-step explanation:

The sum of first and third of 3 consecutive number is 140 as 68+72 is 140.

68 is the first

72 is the third

They are all even numbers as well

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3 years ago

In the diagram, which two angles are alternate interior angles with angle 14?

Nookie1986 [14]

I agreed Angle 4 and 12 is the right answer

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3 years ago

Y-125 = O A. -15 O B. -25 O c. -5 C. O D. 5 or -5

timurjin [86]

Answer:

-5

Step-by-step explanation:

Cube root of -125 has to be -5

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2 years ago