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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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There are 150 children at an art camp. 71 signed up for painting. 62 children signed up for sculpting and 28 of them also signed
ki77a [65]

Answer:

99/150= 62/150

Step-by-step explanation:

6 0
2 years ago
Solve the compound inequality 6b &lt; 36 or 2b + 12 &gt; 6 <br>​
Brut [27]

Answer:

6b < 36

6b = 36

divide both sides by 6

6b ÷ 6 = 36 ÷ 6

b = 6

5 0
3 years ago
7m - 3m-6 &lt; 6 help pls​
fenix001 [56]

Answer:

m < 3

Step-by-step explanation:

7m-3m - 6 < 6

4m < 6 + 6

4m < 12

4m ÷ 4 < 12 ÷ 4

m < 3

6 0
3 years ago
45,133 lies between what and what
lana66690 [7]
Can  you explain more please
6 0
3 years ago
I need help with #6 please.
Juliette [100K]

9514 1404 393

Answer:

  6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)

  7. (a, b, C) ≈ (180.5, 238.5, 145°)

Step-by-step explanation:

My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.

__

We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.

6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°

The other angles can be found by permuting the variables appropriately.

  B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°

The third angle can be found as the supplement to the other two.

  C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°

The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).

__

7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.

  C = 180° -A -B = 145°

  a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49

  b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52

The measures (a, b, C) are about (180.5, 238.5, 145°).

7 0
2 years ago
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