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2 years ago

Geometry Solve for x. Round to the nearest tenth of a degree, if necessary.

Mathematics

1 answer:

zvonat [6]2 years ago

3 0

Answer:

13. x = 52.8°

14. 663.65 ft

15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

x° = arctan(2.5/1.9) ≈ 52.8°

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

Tan = Opposite/Adjacent

tan(11°) = (129 ft)/(distance to shore)

distance to shore = (129 ft)/tan(11°)

distance to shore ≈ 663.65 ft

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

Sin = Opposite/Hypotenuse

sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

ladder length ≈ 30.7 ft

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In triangle STU, u2 = s2 + t2.

sineoko [7]

Answer:

(B) The measure of angle SUT is equal to 90 degrees

Step-by-step explanation:

It is given that in In triangle STU, $u^2=s^2+t^2$ .

We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.

$(Hyp)^2=(Base)^2+(Perpendicular)^2$

that is:

$u^{2}=s^{2}+t^{2}$

where u is the hypotenuse, s is the base and t is the perpendicular.

Thus, the angle SUT should be of 90°.

Thus, The measure of angle SUT is equal to 90 degrees.

Hence, option B is correct.

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3 years ago

Can someone please help me with this? Not just answers pleaseee.

finlep [7]

7(x+2)

Let's find the common term in this expression to factor it out. it is 7.

Factoring is the opposite of distributing.

If we distribute, we will get the original expression.

45-27k

Here, the common term is 9:

9(5-3k)

12ab+7b - the common term is b:

b(12a+7)

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Here the common term is y:

y(y-9)

8r-32r² the common term here is 8r:

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Hope it helps! Please mark Brainliest! =)

$*VirtuosoTeen*$

$^R^O^S^A^L^I^N^D$ $^C^O^R^D^E^L^I^A$

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3 years ago

What is the sum of the n terms of the series 4 + 12 + 36 + 108 + . . . ?

arlik [135]

Sum of n terms of a geometric series is
Sn = a1 (r^n-1)/(r-1)
a1 = 1st term = 4
r = common ratio = 12/4 = 3
so, the sum is
Sn = 4 (3^n-1)/(3-1) = 2(3^n-1)

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4 years ago

Solve the inequality for w.<br><br> 20 ≥ - 4w<br><br> Simplify your answer as much as possible.

Oksanka [162]

Answer:

w $\geq$ -5

Step-by-step explanation:

-4w $\leq$ 20

4w $\geq$ -20

w $\geq$ -5

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3 years ago

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