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Andru [333]
2 years ago
12

Consider the expression.

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
5 0
Two less than 5 times a number is 9
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What is the range of the given data set?
user100 [1]

Answer:

6

Step-by-step explanation:

21 - 15 = 6

6 0
2 years ago
What is the height of the tree to the nearest tenth of a foot?
Ugo [173]

Answer:

The height of the tree is approximately 21.4 feet

Step-by-step explanation:

We list out the question parameters first as follows;

The distance from the base of the tree where the angle of elevation is measured, d = 10 feet

The angle of elevation to the top of the tree from 10 feet from the base, θ = 65°

Let 'h' represent the height of the tree, then we have;

The line formed by the angle 65° angle, the height of the tree, 'h', and the distance 'd', form a right triangle with 'h' being the opposite leg to the given reference angle, 65°, and 'd' being the adjacent leg

By trigonometric ratio, we have;

tan(\theta) = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = \dfrac{h}{d}

∴ h = d × tan(θ)

Plugging in the given values, we get;

h = 10 feet × tan(65°) = 21 feet 5\frac{11}{32} inches

∴  By rounding to the nearest tenth of a foot, the height of the tree, h ≈ 21.4 feet.

3 0
2 years ago
What is the volume of this solid figure made with cubes?
Tems11 [23]

Answer: 5

Step-by-step explanation:

hope this help get a A

3 0
2 years ago
Consider the equation 30÷x=6.
8090 [49]
Part A : 30 - x - x - x - x - x - x = 0

^ since 30 divided by 5 is 6, that answer is the same as doing 5 + 5 + 5 + 5 + 5 + 5

- pls comment & correct me if i did smth wrong :’)
7 0
2 years ago
Read 2 more answers
Please help me out :)
arlik [135]

Answer:

\frac{\sqrt{17} }{7}

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

sinx = \sqrt{1-cos^2x}

Note that (\frac{4\sqrt{2} }{7})² = \frac{32}{49}

sinΘ = \sqrt{1-(32/49)}

        = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{7}

5 0
3 years ago
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