Answers
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[tex] \cos(30°) = \frac{16 \sqrt{3} }{s} \\ [/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{16 \sqrt{3} }{s} \\ [/tex]
Inverse both sides
[tex] \frac{2}{ \sqrt{3} } = \frac{s}{16 \sqrt{3} } \\ [/tex]
[tex] \frac{s}{16 \sqrt{3} } = \frac{2}{ \sqrt{3} } \\ [/tex]
Multiply sides by 16√3
[tex]16 \sqrt{3} \times \frac{s}{16 \sqrt{3} } = 16 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ [/tex]
[tex]s = \frac{2 \times 16 \times \sqrt{3} }{ \sqrt{3} } \\ [/tex]
[tex]s = 32[/tex]
Thus the correct answer is Option D .
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Related Questions
Which equation matches the graph y=-1x+3 , y=1x, y1x+3, y=-1x can you guys tell me which equation matches the graph with explanation
Answers
Answer:
y = 1.x + 3
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since, y-intercept and x-intercepts are equal,
Let the given line passes through (0, 3) and (-3, 0),
Slope of the line (m) = [tex]\frac{3-0}{0+3}[/tex] = 1
y-intercept of the line 'b' = 3
Equation of the line will be,
y = 1.x + 3
round the number 1 560 to the nearest thousands place
Answers
Answer:
2000
Step-by-step explanation:
Answer:
2,000
Step-by-step explanation:
the reason of this is the one becomes a two so the other numbers go to zero
then there is a possible another answer 1060 but i think it is wrong so the answer is 2,000.
if you like my question please send brainiest thanks.
What is an equation of the line that passes through the points (0, -4) and
(4.6)? Put your answer in fully reduced form.
Answers
Answer:
5-8. 10- 8 39-66 87 9-99 01 45,
I need help with this to
Answers
Explanation:
Let X = -2 and Y = 10
Y = -3x + 4
10 = -3*(-2) + 4
10 = 10
Which checks out.
What is the answer to: 5/2 - 4/3
Answers
Answer:
7/6
Step-by-step explanation:
5/2-4/3
=(5*3-4*2)/2*3
=(15-8)/6
=7/6
Guess my number between 1-5 and u will get brainliest
Answers
Answer:
3
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
If f(x) = 4x and g(x) = x^3, then what is f(g(x))?
a. 4x+x^3
b. 4x^4
c. 4x^3
d. (4x)^3
Answers
Answer:
f(g(x)) = 4x³
Hence, option C is true.
Step-by-step explanation:
Given
[tex]f(x) = 4x[/tex][tex]g\left(x\right)\:=\:x^3[/tex]Determine:
f(g(x)) = ?
solving the f(g(x))
f(g(x)) = f(x³)
= 4x³
Therefore,
f(g(x)) = 4x³
Hence, option C is true.
Pleas help me on this
Answers
Answer:
3x
Step-by-step explanation:
x+x+x
=3x
if i am wrong than sorry
How many 1 fourths are in 3 fourths?
Answers
Answer:
12
Step-by-step explanation:
This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.
I WILL GIVE BRAINILEST AND 5 STAFS IF CORRECT
Use the expression 9(7 + 2x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points)
Answers
Answer:
Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).
Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).
Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.
The number line shows the locations of points A and C.
If point B is 1/3 of the way from point A to point C, what is the coordinate of point B ?
Answers
Answer:
Point B would be at 2.5
Step-by-step explanation:
The points have an 8 umber distance so numbers 2 and 3 are the middle numbers and the middle of those numbers would be 2.5.
Answer:
2.5
Step-by-step explanation: i did it on a test and got it right
The system of equations is graphed on the
coordinate plane.
y = x - 1
y = -2x - 4
Enter the coordinates of the solution to the
system of equations in the boxes.
(___,___)
Answers
At a store, socks are sold with a different number of socks in each package. Which package has the lowest price per pair of socks?
A.
4 pairs for $4.99
B.
6 pairs for $7.99
C.
8 pairs for $10.99
D.
12 pairs for $15.99
Answers
Answer:
I'm sure the correct answer is A. 4 pairs for $4.99.
Step-by-step explanation:
Please tell me if I'm wrong. And also the answer is not B for other's that may think it is. I hope you find this helpful, have a great day.
The expression 2y+ 2.6 is equal to ? for y=5
Answers
Answer:
Its 12.6
Step-by-step explanation:
first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.
Answer: 12.6
Step-by-step explanation:
2(5)+2.6
10+2.6
12.6
Kyle’s school needs to buy posters for a fundraiser. The school has a budget of $147. Each poster costs $13. About how many posters can his school buy? Solve this problem any way you choose
Answers
Answer:
Eleven. or 11.
Step-by-step explanation: 147 divided by 13 is 11 with a remainder of 4. He would have 4 dollars left over. If he bought 11 posters.
School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 82 students? A. 6 chaperones B. 41 chaperones C. 7chaperones D 3 chaperones
Answers
Answer:
A. 6 chaperones
Step-by-step explanation:
Since it's 2 chaperones per 25 students you would need to see how many times 25 can fit into 82
82/25 = 3.28
You can round that number to 3
Then you'll multiply 3 by 2 to get your number of chaperones for the school trip
3 x 2 = 6
There's still students left but not enough for there to be another chaperone so the answer is 6
How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.
Answers
Answer:
Step-by-step explanation:
. The ratio of boys to girls in Ms. Cunningham's class is 2 to 3. There are 21 girls in the class. What is the total number of students in Ms. Cunningham's class?
Answers
Answer:
14
Step-by-step explanation:
21 times 2 = 42
42 divided by 3 = 14
MARKING AS BRAINLIST PLEASE HELP ONLY ANSWER IF YOU KNOW
Answers
How many yards are there in 14 1/2 miles?
Answers
Answer:
25520
Step-by-step explanation:
Please please please someone help me
Answers
Answer:
15
Step-by-step explanation:
Answer:
x=15
Step-by-step explanation:
Substutting in q(x) makes 3=4/5x-9
Add 9 to both sides to get 12=4/5x
Divide both sides by 4/5 and get 15=x
Thus, x=15
What is the value of x in this figure?
Answers
Answer:
65
Step-by-step:
Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form
Answers
Answer:
y=2(x+3.5)^2+0.50
Step-by-step explanation:
we have
y=(x+3)^2+(x+4)^2
y=x^2+6x+9+x^2+8x+16
y=2x+14x+25
rewrite now in vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
y-25=2x^2+14x
Factor the leading coefficient
y-25=2(x^2+7x)
Complete the square. Remember to balance the equation by adding the same constants to each side
y-25+24.50=2(x^2+7x+3.5^2)
y-0.50-2(x^2+7x+12.25)
Rewrite as perfect squares
y-0.50=2(x+3.5)^2
y=2(x+3.5)^2+0.50
the vertex is the point (-3.5,0.50)
therefore the answer is
y=2(x+3.5)^2+0.50
His problem probably won’t be too hard! Help please I need it ASAP
Answers
Answer:
24
Step-by-step explanation:
24 is the answer ksnskskskndndkdnd
2x100x3x0 solve lol :)
Answers
Answer:
the answer is 0
Step-by-step explanation:
2x100x3x0 equals and levels out to 0 :)
Answer:
0
Step-by-step explanation:
100 x 2 = 200
200 x 3 = 600
600 x 0 = 0
how do you simple this
Answers
Answer:
Turn the first fraction into a mixed number then simply
Step-by-step explanation:
Percy's Pizzeria made 4 pizzas with pepperoni and 59 pizzas without pepperoni. What is the ratio of the number of pizzas with pepperoni to the number of pizzas without pepperoni? I had got 15/59 i wanna know if it is correct.
Answers
Answer:
4 : 59
Step-by-step explanation:
Close. But good try
So what is "ratio?"
Well seems like you got 15/59 i think you meant 15:59 right? ratio has a : in it.
But, you see there is only 4 pizzas with pepperoni in it so actually it should be
4 : 59
Good attempt anyways Trying is always better than nothing.
Given the points P(2, –6) and R(8, 3), what is the component form of Vector P R?
⟨6, -3⟩
⟨10, -3⟩
⟨6, 9⟩
⟨10, 9⟩
Answers
Answer:
C
Step-by-step explanation:
The component form of vector PR is ⟨6, 9⟩.
How to determine the component form of vector PRTo find the component form of vector PR, we need to subtract the coordinates of point P from the coordinates of point R.
The x-component of the vector is obtained by subtracting the x-coordinate of point P from the x-coordinate of point R:
x-component = 8 - 2 = 6
The y-component of the vector is obtained by subtracting the y-coordinate of point P from the y-coordinate of point R:
y-component = 3 - (-6) = 3 + 6 = 9
Therefore, the component form of vector PR is ⟨6, 9⟩.
Learn more about vector at https://brainly.com/question/25705666
#SPJ2
A group of 12 students is deciding whether to go to the science center of the zoo. Science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.
How much will a group of 12 students save by choosing the science center?
Answers
Answer:
147
Step-by-step explanation:
If they go to the science center it will cost 3 people 36.75 cents so for 12 people it would be 36.75*4=147( I think let me know if I am wrong).
Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. The height of the ball, h, and time t seconds is given by the equations h(t) = -16t^2 + 18t +5. Will she make it iver the fence?
Answers
Answer:
Natalie cannot make it over the fence.
Step-by-step explanation:
After reading the statement, we must demostrate if the following inequation is possible, that is:
[tex]-16\cdot t^{2}+18\cdot t+5 \ge 12[/tex]
After some algebraic handling we find this equivalent expression:
[tex]16\cdot t^{2}-18\cdot t +7\le 0[/tex] (1)
The polynomial is factorized by the Quadratic Formula:
[tex]\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0[/tex]
Since all roots are complex, we conclude that Natalie cannot make it over the fence.