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3 years ago

PLEASE ANSWER THIS FOR ME!!

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

3.4d + 3.4d = 12 + 6.5

6.8d = 18.5

d = 2.72 (this answer is rounded. To get the full answer, divide 18.5 by 6.8)

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If one fourth of a 30 gallon pool is filled in 5 minutes how long will it take for four fourths to be filled

Furkat [3]

It would take 20 minutes for the WHOLE bath to be filled, 5 * 4 = 20.

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3 years ago

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Please answer Plz answer 1-4

Yakvenalex [24]

It's been a while since I have worked out problems like this. You may need to check.
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3 years ago

Megans room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed.

Alex17521 [72]

Answer:

As only the length of the room changed. It means the length of the room is increased by 175%, because of which the area is increased by 175%.

Therefore, the expression become

$\frac{175}{100}\:l\cdot b$

$=1.75\:l\cdot b$

And the area of Megan's room is increased by 0.75 square meters.

Step-by-step explanation:

Let $l$ be the length of the room

Let $b$ be the width of the room

So the area of the rectangle will be:

$A=l\cdot \:b$

As the statement mentions that the new area of the room is $175%$ % of the previous area.

So the new area of the room becomes:

$\frac{175}{100}\:l\cdot b$

As only the length of the room changed. It means the length of the room is increased by 175%, because of which the area is increased by 175%.

Therefore, the expression become

$\frac{175}{100}\:l\cdot b$

$=1.75\:l\cdot b$

also

$\left(1.75\right)l\cdot \:b-\left(1\right)l\cdot \:b$

$=0.75\:l\cdot b$

so, the area of Megan's room is increased by 0.75 square meters.

6 0

3 years ago

If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?

Eddi Din [679]

Answer:

2/3

Step-by-step explanation:

Y varies directly as x

Y =kx

Y=6 when x = 72

First find the relationship between y and x.

i.e find the value of k

Substitute the value of x and y

6 = k *72

Make k the subject of the formula

K = 6/72

K= 1/12

:. The rlationship between x and y is

Y = 1/12x

When x is 8

Y = 1/12 * 8

Y = 8/12

Y = 2/3 and that is the answer

Hope it helped you

3 0

3 years ago

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A triangle has side lengths of 10, 11, and 15 . what type of triangle is it?

Trava [24]

Answer: scalene and obtuse

Justification:

You can find the angles using the law of cosine:

c^2 = a^2 + b^2 - 2abcos(γ)

=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)

1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818

=> γ = arccos(-0.0181818} ≈ 91°

2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545

=> α = arccos(0.7454545) ≈ 41.8°

3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68

=> β = arccos(0.68) ≈ 47.2°

4) Verification: 91° + 41.8° + 47.2° = 180°

5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).

6) The triangles with one angle greater than 90° are called obtuse.

So, the triangle is scalene and obtuse.

7 0

3 years ago