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3 years ago

The perimeter of a square is 36 inches. Find the length to f one side.

Mathematics

1 answer:

VMariaS [17]3 years ago

3 0

Answer:

9 because 36 divided by 4 is 9

Step-by-step explanation:

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Solve the right triangle. Round decimals to the nearest tenth

Tems11 [23]

Answer:

j = 19.6

k = 25.9

J = 49°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides and angles in a right triangle.

<h3>Analysis</h3>

The given side is opposite the given angle. We want to find the other acute angle and the missing sides: the hypotenuse, and the adjacent side. The relations involving the opposite side are ...

Sin = Opposite/Hypotenuse ⇒ Hypotenuse = Opposite/Sin

Tan = Opposite/Adjacent ⇒ Adjacent = Opposite/Tan

Of course, the acute angles in a right triangle are complementary, so we can use that fact to find the missing angle.

<h3>Application</h3>

Hypotenuse = Opposite/Sin

IJ = 17/sin(41°) ≈ 25.9

Adjacent = Opposite/Tan

IK = 17/tan(41°) ≈ 19.6

Angle J = 90° -41° = 49°

In summary, ...

j = 19.6

k = 25.9

J = 49°

8 0

2 years ago

An arc created by a central angle has the same measure as the central angle. True False

KATRIN_1 [288]

You're answer is True

8 0

3 years ago

determine the coordinates of the verticies of the rectangle to compute the area of the rectangle using the distance formula(roun

Talja [164]

Answer:

Step-by-step explanation:

4 0

3 years ago

A data set has a mean of 112 and a standard deviation of 2.5.

Ahat [919]

Answer with explanation:

Mean of the data set $\mu$ = 112

Standard Deviation of the data set $\sigma$ =2.5

Since , 50% of data lies on both side of the mean.

Z at 50% = 0.1915

Margin of error for this data set

$=Z_{50 \text{percent}}\times\frac{\sigma}{\sqrt{\mu}}\\\\=0.1915 \times \frac{2.5}{\sqrt{112}}\\\\=0.1915 \times \frac{2.5}{10.58}\\\\=0.1915 \times 0.2362\\\\=0.0452$