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Len [333]
2 years ago
8

Given right triangle ABC, what is the value of tan(A)? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths

Mathematics
2 answers:
WITCHER [35]2 years ago
8 0

Answer:

Twelve-fifths.

Step-by-step explanation:

The diagram is shown below

Given triangle be right angled at B,

Withe reference to \angle A,

Its opposite side is BC=12 , adjacent side is AB=5 and hypotenuse is AC=13

We are to find the value of tan(A)

We know tan=\frac{opposite}{adjacent}

Substituting the above values we get,

tan(A)= \frac{BC}{AB}=\frac{12}{5}

So the answer is Twelve-fifths.

shusha [124]2 years ago
8 0

Answer:

C. \frac{12}{13}

Step-by-step explanation:

cos(Z) = cos(C)

cos(C) = 12/13

Because adjacent side over hypotenuse side length.

Therefore, cos(Z) = 12/13.

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Find the quotient. (3.683 × 104) (7.51 × 1012) What is the solution in scientific notation?
olasank [31]

Answer:

B

Step-by-step explanation:

\frac{3.683 \times 10^4}{7.51 \times 10^{12}} \\=\frac{36.83 \times 10^3}{7.51 \times 10^{12}} \\=\frac{36.83}{7.51} \times 10^{3-12}\\ \approx 4.9041 \times 10^{-9}

6 0
1 year ago
Read 2 more answers
N a circle with a radius of 2.8 cm, an arc is intercepted by a central angle of π5 radians. what is the arc length? use 3.14 for
Vilka [71]
By definition, the arc length is given by:
 arc = (theta) * (R)
 Where,
 theta: central angle
 R: radius
 Substituting values we have:
 arc = (π / 5) * (2.8)
 Rewriting we have:
 arc = ((3.14) / 5) * (2.8)
 arc = 1.7584 cm
 Round to the hundredth:
 arc = 1.76 cm
 Answer:
 
the arc length is:
 
arc = 1.76 cm
8 0
2 years ago
Read 2 more answers
The surface areas of two similar solids are 312 ft2 and 1,198 ft2. The volume of the smaller solid is 239 ft3. What is the volum
marin [14]

Answer:

The volume of the larger solid is 1,798\ ft^{3}

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar , then the ratio of its surface areas is equal to the scale factor squared

so

Let

z-------> the scale factor

x-------------> surface area larger solid

y-------------> surface area smaller solid

z^{2} =\frac{x}{y}

substitute

z^{2} =\frac{1,198}{312}

z=\sqrt{\frac{1,198}{312}} ----> scale factor

step 2

Find the volume of the larger solid

we know that

If two figures are similar , then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z-------> the scale factor

x-------------> volume of the  larger solid

y-------------> volume of the smaller solid

z^{3}=\frac{x}{y}

we have

z=\sqrt{\frac{1,198}{312}}

y=239\ ft^{3}

substitute the values

(\sqrt{\frac{1,198}{312}}^{3})=\frac{x}{239}

x=239*(\sqrt{\frac{1,198}{312}}^{3})=1,798\ ft^{3}

5 0
2 years ago
Read 2 more answers
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty perso
Step2247 [10]

Answer:

the probability is 0.1143

Step-by-step explanation:

here are the details from the question you asked

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nuber of weapons = 6

number of rooms = 9

after narrowing it down to

3 people,3 weapons, and 6 rooms

= ⁶C₃ * ⁶C₃ *⁹C₆ / ²¹C₁₂

= 20 * 20 * 84 / 293930

= 33600/293930

= 0.1143

<u>The probability of making a random guess of the person who is guilty, weapon and location from this choices that have been narrowed down and the guess being correct is 0.1143</u>

7 0
2 years ago
Jack works as a waiter and is keeping track of the tips he earns daily. About how much does Jack have to earn in tips on
Ray Of Light [21]

Answer:

25$

Step-by-step explanation:

Add all of the days up and divide by 7

7 0
2 years ago
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