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3 years ago

Solve for 2. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

UNO [17]3 years ago

3 0

Answer:

x ≈ 94.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan58° = $\frac{LM}{KL}$ = $\frac{x}{59}$ ( multiply both sides by 59 )

59 × tan58° = x , then

x ≈ 94.4 ( to the nearest tenth )

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3 years ago

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x

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3 years ago

Josie and her brothers and sisters measured their heights and found the mean averageThe mean was 150cmJosie forgot her height. C

Andrei [34K]

Answer:

135 cm

Step-by-step explanation:

Let Jose's height = x

The mean of their heights = 150

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150cm, 170cm, 140cm, 155cm

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3 years ago

Write a subtraction sentence where the difference is positive fuse a positive and negative integer

Rainbow [258]

Answer

When you subtract a negative number, it is the same as addition.

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2 years ago

Read 2 more answers

Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. How many 1/6 foot cubic boxes can she fit int

alexandr402 [8]

Answer: 28 cube boxes.

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

You need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.

The denominator does not change.

Then:

$1\ \frac{1}{6}=\frac{(1*6)+1}{6}=\frac{7}{6}$

Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:

$V_2=(\frac{7}{6}\ ft)(\frac{1}{3}\ ft)(\frac{1}{3}\ ft)=\frac{7}{54}\ ft^3$

Finally, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

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2 years ago