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netineya [11]
2 years ago
7

What are the values of the variables in the triangle below?

Mathematics
1 answer:
harkovskaia [24]2 years ago
8 0

Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

Sin(30)=\cfrac{y}{6\sqrt{3} }

\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)

\sqrt{3}y=9

\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}

y=3\sqrt{3}

~

Cos(30)=\cfrac{x}{6\sqrt{3} }

\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)

\sqrt{3}x=9\sqrt{3}

\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}

x=9

Therefore, x=9 and y=3√(3)

~

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What time is 6 3/4 hours before 3:37a.m
Mrac [35]
10:12 pm 

6 hours before is 9pm
3/4=45/60
add 45+37=72-60=12=1+9=10:12
4 0
3 years ago
Find the missing angel ​
kolezko [41]

Answer:

x=25°

Step-by-step explanation:

The given angle is a 90° angle. We know this because of the little square in the corner. This means that both angles must add up to 90°:

x+y=90

Insert the known values:

x+65=90

Solve for x. Subtract 65 from both sides:

x+65-65=90-65\\\\x=25

The missing angle, x°, is 25°.

:Done

8 0
3 years ago
You take a 200 milligram dosage of aspirin. During each subsequent hour, the amount of medication in your bloodstream decreases
shepuryov [24]

Answer: The level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.

Step-by-step explanation:

If the amount is decreasing by r%, then the final amount is given by :-

A=P(1-r)^t

, where P = initial value , t= time

Given: P= 200 milligram, r= 35% = 0.35, t= 4 hours

The level of aspirin (mg) will be in your bloodstream in 4 hours = 200(1-0.35)^4

=200(0.65)^4\\\\=200\times 0.17850625\\\\=35.70125\approx35.70 \ mg

Hence, the level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.

5 0
2 years ago
I need help can someone help me ​
BlackZzzverrR [31]

Answer:

See below.

Step-by-step explanation:

The graph is very unclear, but if you look at x = 2, and you go up until you intersect a point on the line, the y-coordinate of that point is the value written on the graph to the left of the y-axis.

3 0
3 years ago
Read 2 more answers
Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)
m_a_m_a [10]

The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".

<h3>Linear Expression</h3>

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.

  • Part A

First, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.

The word <em>more </em>will be represented for the add symbol (+). Thus,

the algebraic expression is 6+7x.

  • Part B

The expression 3*(n+8) can be represented for the sentence:

The triple of the sum between the numbers n and 8.

Learn more about the algebraic expression here:

brainly.com/question/2164351

#SPJ1

7 0
1 year ago
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