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2 years ago

13

A recipe for one full cake calls for one fourth cup of sugarIf three eighths of a cup of sugar is used, how many cakes were made

?

1 answer:

marin [14]2 years ago

5 0

Answer:

1 1/2 cakes

Step-by-step explanation:

3/8 ÷ 1/4

3/8 * 4/1

12/8

3/2

1 1/2

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3 years ago

What time and day will it be <br> 154hr 36 mins after Thursday 1:26pm?

loris [4]

Answer:

12:02 AM on the next Thursday

Step-by-step explanation:

First we wanna find how many days that is. 154/24. that is 6 and 5/12 days.

5/12 of a day is equal to 10/24, so 10 hours, sice there are 24 hours in a day.

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3 years ago

Determine whether each table represents a linear or nonlinear

Nesterboy [21]

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Step-by-step explanation:

1st table is linear because the slope is always constant.

Second is not linear, but rather exponential.

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2 years ago

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2 years ago

Lamont works for an electric utility and is installing a 40 foot utility pole as shown. Lamont drills the anchor of a support ca

PIT_PIT [208]

Answer:

<em>Approximately 43 feet of minimum cable is needed. </em>

Step-by-step explanation:

This problem can be solved using Trigonometry and Pythagorean theorem. Pythagorean theorem applies on right-triangles (<em>which are known to have one 90° angle</em>). The theorem states that the square of the Hypotenuse is obtained by the squared sum of the other two sides of the triangle (i.e the two sides forming the 90° angle - with the hypotenuse side being across it as:

$h^2=a^2+b^2$ Eqn. (1)

where

$h$ is the hypotenuse

$a$ is a side

$b$ is a side

<u>Now in this case, the utility pole must be perpendicular to the ground and the anchor being parallel to the ground, and a 90° angle formed between them. </u>Conclusively the cable length will be represented by the hypotenuse in a right triangle. So here we have $a=40ft$ and $b=15ft$ . Plugging in Eqn.(1) and solving for $h$ we have:

$h^2=40^2+15^2\\h=\sqrt{40^2+15^2} \\h=\sqrt{1600+225}\\ h=\sqrt{1825}\\ h=5\sqrt{73}\\ h=42.72ft$

So we conclude that the minimum length of cable needed by Lamont is

≈43 feet (rounded up).

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3 years ago