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3 years ago

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ABCD is a parallelogram. AE ⊥ DC, A[] ⊥ BC, AD = 10, AB = 15, A[] = 12. Find the length of AE.

1 answer:

kaheart [24]3 years ago

8 0

Answer:

AE= 8

Step-by-step explanation:

The parallelogram forms two right triangles and since it's a parallelogram the opposite angles are congruent meaning you can say the triangles are similar through AA~. The ratio is 2:3 and FA =12 making AE= 8

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9/11 - 1/2 in it's simplest form

Murrr4er [49]

Answer:

7/22

Step-by-step explanation:

Step 1: <u>Define/explain.</u>

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: <u>Solve.</u>

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

$9/11*2/2=18/22$

$1/2*11/11=11/22$

Now, subtract as normal.

$18/22-11/22=7/22$

$7/22 (simplified).$

Step 3: <u>Conclude.</u>

Therefore, 9/11 - 1/2 = 7/22.

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3 years ago

1/4 to 1/2 find the percent of change-increase or decrease

Vika [28.1K]

The percent of change would be -33.3% which would then equal a 33.3% decrease (when decimal is rounded)

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3 years ago

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The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions.

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What is the size of trapezoid?

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3 years ago

One bag contains 3/5 kg of corn. A farmer feeds his chickens 4 bags of corn each week. How many kilograms of corn do they eat ea

Andrews [41]

4 x 3/5
4/1 x 3/5
4x3/5x1
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3 years ago

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An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the s

maks197457 [2]

Answer:

$W_s \approx5.3$

Step-by-step explanation:

From the question we are told that

Height $H=3.5ft$

Weight $W= 6ft$

Depth $D=0.95ft$

Generally the equation for ellipses is given as

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

Where

$b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\$

$\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1$

Generally to find y in the equation $\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

$y=-b+d$

$y=-1.75+0.95$

$y=-0.8$

Therefore

$\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1$

$\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}$

$\frac{x^2}{3^2} =1-0.2089795918$

$X^2 =3^2(1-0.2089795918)$

$X^2 =7.119183674$

$X =\sqrt{7.119183674}$

$X =2.66817984$

Therefore the width of the given stream is

$W_s=2.66817984*2$

$W_s=5.33635968$

$W_s \approx5.3$

3 0

3 years ago