1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svet_ta [14]
3 years ago
15

What is the value of x? A. 4 B. 4√3 C. 8 D. 8√3

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

B. 4√3

Step-by-step explanation:

\sin \: 60 \degree =  \frac{x}{8}  \\  \\  \therefore \:  \frac{ \sqrt{3} }{2}  = \frac{x}{8} \\  \\  \therefore \: x =  \frac{8 \times  \sqrt{3} }{2} \\  \\  \therefore \: x =  4 \times  \sqrt{3}\\  \\  \huge \purple{ \boxed{ \therefore \: x =  4 \sqrt{3} }}\\

You might be interested in
A motorboat takes 3 hours to travel 108 km going upstream. The return trip takes 2 hours going downstream. What is the rate of t
PtichkaEL [24]
Recall your d = rt, distance = rate * time.

let's say the boat has a still water rate of "b", and the current has a a rate of "c", ok.... when the boat is going upstream, is not really going "b" fast, is going  slower at "b - c", due to the current going in the opposite direction.

when the boat is coming downstream, is not going "b" fast either, is going faster, is going "b + c", due to the current adding speed to it.

we know the trip up was 108 kms, thus the return trip is also 108 kms.

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
Upstream&108&b-c&3\\
Downstream&108&b+c&2
\end{array}
\\\\\\
\begin{cases}
108=3(b-c)\implies \cfrac{108}{3}=b-c\implies 36+c=\boxed{b}\\\\
108=2(b+c)\\
--------------------\\
108=2\left(\boxed{36+c} +c \right)
\end{cases}
\\\\\\
\cfrac{108}{2}=36+2c\implies 54=36-2c\implies \cfrac{54-36}{2}=c

and surely you know how much that is.

what's the boat's speed? well, 36 + c = b.
8 0
3 years ago
Factor 16x^3+16x^2+3x
oee [108]

Answer:

x(4x + 3)(4x + 1).

Step-by-step explanation:

16x^3 + 16x^2 + 3x

First take out the x:

= x(16x^2 + 16x + 3)

= x(16x^2 + 4x + 12x + 3)

= x(4x(4x + 1) + 3(4x + 1))

= x(4x + 3)(4x + 1)  (answer).

8 0
3 years ago
Help please! I need help with this two step equations
kykrilka [37]

Answer:

search it up on goggle lll

7 0
3 years ago
Read 2 more answers
Here is a division equation: 4/5 ÷ 2/3 = ? Write a multiplication equation that corresponds to the division equation.
Finger [1]

Answer:

4/5 * 3/2

Step-by-step explanation:

fraction division = multiplying the first fractions by the reciprocal of the second fractions (the tops are bottoms are flipped).

5 0
3 years ago
2. Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a) Write an equation that cou
Tomtit [17]
Let, the age of Kim = x
Then, Jordan's age = x + 7

It is given that, 4(x + 7) = 200

a) Equation would be: 4x + 28 = 200

b) Now, 4x = 200 - 28
x = 172/4
x = 43

So, Kim is 43 Years old.

c) Age of Jordan = x + 7
= 43 + 7 = 50

In short, Age of Jordan is 50 Years

Hope this helps!


4 0
3 years ago
Other questions:
  • Which equation represent a horizontal lines? <br><br>A. x= y + 2<br>B. y= 2<br>C. y= x + 1<br>D. x=2
    13·1 answer
  • 20 POINTS! Please help me!
    7·1 answer
  • G(x)=4x×x(x-5)(x-9)(x-4). identify the zeros of the function and the multiplicity of each zero​
    8·1 answer
  • What is the answer to this question please help
    10·1 answer
  • Simplify √8 + 4/√3 pls help​
    9·2 answers
  • Plz help 3.15 math <br><br><br>liner graph to ansrew each equation​
    12·1 answer
  • Only do number 19 vote you brainiest
    10·1 answer
  • One-half of the sum of 8 and x. write in algebraic expression
    15·1 answer
  • Need help with this.
    10·1 answer
  • Can the two triangles be congruent? if so, how?.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!