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vesna_86 [32]
3 years ago
13

According to this diagram, what is tan 74

Mathematics
2 answers:
tresset_1 [31]3 years ago
8 0

Answer: F-24/7

Step-by-step explanation: sahcohtoa

tan is opposite over adjacent so 24/7

mariarad [96]3 years ago
7 0

Answer:

\boxed{F.\:\:\frac{24}{7} }

Step-by-step explanation:

The tangent ratio is the ratio of the length of the opposite side to the length of the adjacent side.

This implies that;

\tan(74\degree)=\frac{Opposite}{Adjacent}

The length of the side opposite to the 74 degree angle is 24 units.

The length of the side adjacent to the 74 degree angle is 7 units.

We substitute these values into the formula to obtain;

\tan(74\degree)=\frac{24}{7}

The correct answer is option F

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What is the value of the expression 2x3y when x= −2 and y = 3?
klemol [59]
I think it’s -36, not 100% sure though
6 0
2 years ago
A rhombus ABCD has AB = 10 and m∠A = 60°. Find the lengths of the diagonals of ABCD.
melisa1 [442]
Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus

First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°. 

Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.

For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.

\overline{OB}:\overline{AB} = 1:2
\overline {OB}:10 = 1:2
\overline{OB} = \frac{1}{2}(10) = 5

Similarly, we have

\overline{AO}:\overline{AB} = \sqrt{3}:2
\overline {AO}:10 = \sqrt{3}:2
\overline{AO} = \frac{\sqrt{3}}{2}(10) = 5\sqrt{3}

Now, to find the lengths of the diagonals, 

\overline{AD} = 2(\overline{AO}) = 10\sqrt{3}
\overline{BC} = 2(\overline{OB}) = 10

So, the lengths of the diagonals are 10 and 10√3.

Answer: 10 and 10√3 units

8 0
3 years ago
Write the equation for this line
Nimfa-mama [501]

Answer:

y = 4x + 3

Step-by-step explanation:

7 0
2 years ago
Please help! If possible please show your work. Thank you in advance!! :D
Rudiy27

Answer:

  • (-4)³ = -64
  • -64

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

  (∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

  x = -64 . . . . . simplified

__

We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

  ∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

6 0
2 years ago
Find the Value of A. a/15 = 5
mamaluj [8]

Answer:

A/15=5

so multiply 15*5

you would get 75

therefore a=75

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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