All categories

3 years ago

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

7 0

Answer: a = 23 ft.

Reasoning:

The question asks for the value of the leg a, given the tangent of the opposite angle and the length of the adjacent-leg, b.

The ratio that relates the three parameters is:

tan(A) = opposite-leg / adjacent-leg = a / b = a / 23 ft

Solve for a, wich is the unknown:

a = 23ft * tan(A) = 23ft * 1.0 = 23 ft

Answer: 23 ft.

You might be interested in

The amount of money that Kelly makes varies directly with the number of hours she works. If Kelly makes $306 when she works 18 h

mash [69]

It would be B 17 because 306 divided by 18 would be 17

4 0

3 years ago

Read 2 more answers

If RT bisects SU, find each measure ST, RU, SV, SU,

FinnZ [79.3K]

Answer:

ST = 23

RU = 8

SV = 5

SV = 10

Step-by-step explanation:

Use the knowledge of the properties of a kite to find the measure of ST, RU, SV, and SU as shown below:

✍️Recall: Each pair of adjacent sides of a kite are congruent/equal.

ST and TU are a pair of adjacent sides.

TU = 23

✅Therefore, ST = 23.

RU and RS are a pair of adjacent sides.

RS = 8

✅Therefore, RU = 8.

✍️ Recall: the longer diagonal of a kite bisects the shorter one. This means RT divides SU into two equal parts, namely SV and UV.

Since UV = 5, therefore,

✅SV = 5

SU = UV + SV

✅SV = 5 + 5 = 10

6 0

3 years ago

Given circle O with chords CD = 12 and

LuckyWell [14K]

Answer:

FB=6 Units
OE= 8 Units

Step-by-step explanation:

Theorem: A line drawn from the center perpendicular to the chord bisects the chord.

By the Theorem above, Point E and F bisects CD and AB into 6 Units each as seen in the diagram.

Therefore:

|FB|=6 Units

In Right Triangle OED, applying Pythagoras Theorem

$10^2=6^2+|OE|^2\\|OE|^2=100-36\\|OE|^2=64\\|OE|^2=8^2\\|OE|=8 \:Units$

Therefore:

FB=6 Units
OE= 8 Units

0 0

3 years ago

Write the following improper fractions as mixed number or a whole number 28/3

kolbaska11 [484]

Answer: 9 and 1/3

Step-by-step explanation: To write an improper fraction as a mixed number, we divide the denominator into the numerator.

In this case, we divide 3 into 28.

3 divides into 28 nine times with a remainder of 1.

In other words, 9 wholes and 1 out of 3.

5 0

4 years ago

3. If the sum of interior angle measures of polygon is 3420 degrees, how many sides does it have

tester [92]

Answer:

Step-by-step explanation:

3 0

3 years ago