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Pachacha [2.7K]
3 years ago
15

A meteorologist reported yesterday's high and low temperatures were within 7 degrees of the average temperature of sixty degrees

for the day. Write an absolute value inequality that models the range of temperatures for the day.
The ideal weight of a nickel is .17637 ounce. A bank teller weighs a roll of nickles to ensure there are 40 in the roll. Write an inequality that BEST describes the allowance for an margin of error of .015 of an ounce in the total weight (W) of the roll. The weight of the wrapper is not part of the problem.

W≤7.0698W≤7.0698

7.0398≤W≤7.06987.0398≤W≤7.0698

.16137≤W≤.19137.16137≤W≤.19137

7.0398≤W




Choose the inequality that BEST illustrates the following condition: All real numbers X with and absolute value of greater than three

|X|≤3

|X|≥3

|X|<3

|X|>3
Mathematics
1 answer:
Brut [27]3 years ago
6 0
The absolute value inequality is
| x - 7 | ≥ 60

The inequality that describes the weight of the coins is
<span>7.0398 ≤ W ≤ 7.06987

The inequality that corresponds to the given statement is
</span><span>| X | > 3</span>
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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.
dmitriy555 [2]

see the attached figure to better understand the problem

we have that

cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

cos (A)=(AC/AB)\\AC=AB*cos(A)

substitute the values in the formula

AC=12*(1/5)\\ AC=2.4\ units

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}

substitute the values

BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units

Step 3  

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

BD^{2} =DC^{2}+BC^{2}

substitute the values  

BD^{2} =2^{2}+11.76^{2}

BD=11.93\ units

therefore

<u>the answer is</u>

the length of BD is 11.93 units

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