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4 years ago

8

A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long,

about how far will the stake need to be from the middle of her tent?
-and what formula to use !

1 answer:

artcher [175]4 years ago

7 0

8ft is the length of the rope on the outside of the tent. I hope its right!

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Solve ax + b = cx + d for x.

romanna [79]

Answer: X = (d-b) / (a-c)

This way this worded is weird but I think I got it

Step-by-step explanation:

Subtract B from both sides

ax = cx +d -b

Then subtract CX from both sides

ax -cx =d-b

Distributive Property

x(a-c) =d-b

Divide both sides by a-c

X = (d-b) / (a-c)

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3 years ago

If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.

oksian1 [2.3K]

Answer:

$NK = 15$

$JL = 26$

$KL = 19.85$

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

Step-by-step explanation:

Given

$MK = 30$

$NL = 13$

$\angle MKL = 41$

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

$NK = \frac{1}{2} * MK$

$NK = \frac{1}{2} * 30$

$NK = 15$

Solving (b): JL

JL is a diagonal, and it is twice of NL.

$JL = 2 * NL$

$JL = 2 * 13$

$JL = 26$

Solving (c): KL

To solve for KL, we consider triangle KNL where:

$\angle KNL = 90$

and

$KL^2 = NL^2 + NK^2$

$KL^2 = 13^2 + 15^2$

$KL^2 = 394$

$KL = \sqrt{394$

$KL = 19.85$

Solving (d - h):

To do this, we consider triangle JKN

$\angle KNL = \angle LNM = \angle MNJ = \angle JNK = 90$ -- diagonals bisect one another at right angle

Alternate interior angles are equal. So:

$\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41$

Similarly:

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 90 - 41$

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49$

So:

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = \angle MLJ + \angle JLK$

$\angle MLK = 49 + 41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

5 0

3 years ago

What is the main idea of this passage from the

ella [17]

Answer: B. The United States might not have been able to stop the attacks, but it could have made a better effort to do so.

Step-by-step explanation:

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3 years ago

Multiplying Binomials: (−2h+9)(9h−2) = ?

oee [108]

(−2h+9)(9h−2)

-18h^2 + 4h + 81h - 18

Answer: -18h^2 + 85h - 18

5 0

3 years ago

Using the provided table, calculate the effective tax rate for a single taxpayer with a taxable income of $52,000.

barxatty [35]

Answer:

Option C is correct ,14.2%

Step-by-step explanation:

In order to determine the effective tax rate of a taxpayer with taxable income of $52,000,the starting point to determine how much in taxes the taxpayer pays as shown below:

First tax bracket=$9,525*10%=$952.5

Second tax bracket=$952.50+(12%*($38700-$9,525))

=$952.50+$3501

Third tax bracket(where the taxpayer belongs)=4453.5 +(22%*($52,000-$38,700))

third tax bracket tax=4453.5+$2926 =$7379.5

Since the total tax payable of $7379.5 is now computed,

effective tax rate=tax paid/taxable income=7379.5/52000 =14.2%

7 0

3 years ago

Read 2 more answers