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aliya0001 [1]
2 years ago
10

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the leng

th of B C is 24. Given right triangle ABC, what is the value of tan(A)? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths
Mathematics
2 answers:
ExtremeBDS [4]2 years ago
7 0

Answer:

<h2>The right option is twelve-fifths</h2>

Step-by-step explanation:

Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

The right option is therefore twelve-fifths

Svet_ta [14]2 years ago
4 0

Answer:

12/5

Step-by-step explanation:

100% correct

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Express 1.2 km as a percentage of 300 m
Effectus [21]

Answer:

1.2km is 400% of 300m

Step-by-step explanation:

1 km=1000m

So,1.2 km=1000*1.2=1200m

Let 1.2km(or 1200m) be x% of 300 m

By the problem,

300*x/100 = 1200

Or, 3x=1200

Or,x=1200/3=400

1.2km is 400% of 300m

7 0
2 years ago
Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder she needs 6 pieces of
steposvetlana [31]

Answer:

15.5 feet

Step-by-step explanation:

Given:

Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder.

She needs 6 pieces of rope each 15 inches long for the steps.

Question asked:

How many feet of rope does patty need to make the ladder ?

Solution:

She needs for the sides of the ladder = Two 4 foot pieces of rope

                                                                = 2 \times 4 feet = 8 feet

She needs for the steps of the ladder = 6 pieces of 15 inches long rope

                                                               = 6 \times 15 inches = 90 inches

Convert 90 inches into feet:-

12 inches = 1 feet

1  inches = \frac{1}{12} \ feet

90 inches = \frac{1}{12} \times90=\frac{90}{12} =7.5\ feet

Patty needs total rope = 8 feet + 7.5 feet

                                     = 15.5 feet

Thus, Patty needs 15.5 feet of rope to make the ladder.

6 0
2 years ago
What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, a
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A

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Total money earned after deductions=358-(35.24+24.82+21.33)=276.61

7 0
1 year ago
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 105°, a
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Answer:

The area of triangle is 110.10cm^{2}

Step-by-step explanation:

It is given that AB=19cm, BC=12cm and ∠B=105°

Now, Area of the triangle ABC=\frac{1}{2}acsinB

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=110.10cm^{2}

Thus, the area of triangle is 110.10cm^{2}

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2 years ago
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