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9966 [12]
3 years ago
15

Use the cosine ratio or the inverse cosine to solve for x. Round your answer to the nearest tenth.

Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer:

x ≈ 12.6 m

Step-by-step explanation:

By using cosine ratio in the given right triangle RTS,

cos(S)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(33)° = \frac{\text{ST}}{\text{SR}}

cos(33)° = \frac{x}{15}

x = 15.cos(33)°

x = 12.58

x ≈ 12.6 m

Therefore, measure of side ST = 12.6 m is the answer.

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Which fraction is larger 1/2 or 3/4
GrogVix [38]
1/2 is equivalent to 50%
3/4 is equivalent to 75%

75% > 50% (75% is larger than 50%)
75% = 3/4

The answer is 3/4
Hope the answer helps :)
4 0
3 years ago
Read 2 more answers
F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\
elena-s [515]

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =  \sqrt{x+7}-\sqrt{x^2+2x-15}  .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0
3 years ago
Read 2 more answers
What is 3.33333333333 as a whole number?​
sattari [20]
3.33333333 as a whole number is 3
6 0
2 years ago
Whoever is first and gives the best explanation on how you did it ​
nikklg [1K]

Answer:

80

Step-by-step explanation:

8+6^2×2

8 + 36 × 2

8+72

80

6 0
2 years ago
Read 2 more answers
Please help ! And explain if u can
irga5000 [103]

Answer:

Scalene Triangle

Step-by-step explanation:

If you mark the points on the graph, all three sides have different lengths and angles, therefor it is a scalene triangle.

It cannot be a right triangke bc there is no right angle, and no obtuse either so that crosses out obtuse as an option as well. In order to be an isoceles triangle it must have two sides of equal length, but it does not.

7 0
3 years ago
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