Answers
Answer:
7) Option D.
8) Option C.
9) Option C.
10) Option A.
Step-by-step explanation:
7) The "x" value can be found using the following trigonometrical identity:
[tex] sin(30) = \frac{12}{x} [/tex]
[tex] x = \frac{12}{sin(30)} = 24 [/tex]
Since "x" (the hypotenuse) is related to the opposite side by sin(θ).
So, the correct option is D.
8) The "y" value can be calculated with tan(θ):
[tex] tan(30) = \frac{12}{y} [/tex]
[tex] y = \frac{12}{tan(30)} = \frac{12}{\frac{\sqrt{3}}{3}} = 12\sqrt{3} [/tex]
Hence, the correct option is C.
9) The hypotenuse can be calculated with cos(θ):
[tex] cos(45) = \frac{5\sqrt{2}}{x} [/tex]
[tex] x = \frac{5\sqrt{2}}{cos(45)} = \frac{5\sqrt{2}}{\frac{\sqrt{2}}{2}} = 10 [/tex]
Thus, the correct option is C.
10) The value of the sides can be found by Pitagoras:
[tex] h^{2} = x^{2} + x^{2} [/tex]
[tex] x = \sqrt{\frac{h^{2}}{2}} = \sqrt{\frac{(12\sqrt{5})^{2}}{2}} = \sqrt{360} = 6\sqrt{10} [/tex]
Therefore, the correct option is A.
I hope it helps you!
Related Questions
Factorize: (a+b)^2 + 4 (a+b)+ 4
Answers
if a dog drinks 8 quart of water a day, how many gallons does the dog drink in 3 days
Answers
Answer:
6 gallons
Step-by-step explanation:
There are 4 quarts in gallons, so the dog drinks 2 gallons a day.
When we multiply 2 and 3, we would get 6.
So the dog drinks 6 gallons in 3 days (I don't know about you, but that's a lot of water)
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Have a great summer :)
Answer:
The dog will drink 6 gallons.
Step-by-step explanation:
Every 8 quarts is 2 gallons.
Multiply 2 by 3, you'll get 6.
that's how much gallons a dog drinks in 3 days.
If f(x) = 28+x + 7, what is the value of f(-9), to the nearest
hundredth (if necessary)?
Answers
Answer:
26
Step-by-step explanation:
Problem: f(x) = 28 + x + 7
Plug in f(-9)
New equation: f(-9) = 28 + (-9) + 7
Simplify: f(-9) = 26
Answer: f(-9) = 26
please help with number 53!!!!
pretty please
Answers
Answer:
The sequence would be arithmetic. This is because an arithmetic sequence has a common number multiplying, adding, subtracting etc. The common rule for this set of numbers was x5. 9x5=45, 45x5=225 etc. We simply used this method with negative numbers, but the rule was still multiplying.
Happy learning!
--Applepi101 :)
Answer:
Arithmetic
Step-by-step explanation:
It has a constant difference between each number whilst Geometric usually has the same difference between each number
3)
How many solutions are there to the following equation?
3x-2(1 + x) + 2 = x
A. O
B. 1
C. Infinitely many
Answers
Answer:
letter B.1
ayan po sagot sa number 3
Step-by-step explanation:
3x-2(1 + x) + 2 = x
3x-2-2x+2=x
x-x=0
infinitely many
The rectangle below has an area of x2 - 16 square meters and a width of x + 4 meters.
What expression represents the length of the rectangle?
x +4
Length
x2 - 16
Length
meters
Answers
Answer:
Length = x - 4 meters
Step-by-step explanation:
Area of a rectangle = length × width
Area of a rectangle = x² - 16
width of the rectangle = x + 4 meters.
Length of the rectangle = ?
Recall:
Difference of two perfect square x² - 16 = (x + 4)(x - 4)
Area of a rectangle = length × width
(x + 4)(x - 4) = length * x + 4
Length = (x + 4)(x - 4) ÷ x + 4
Length = x - 4 meters
What is 2√54 + 5√24 in simplified radical form?
Enter your answer.
Please explain. :)
I really hope this question doesn’t get removed again or please tell me why it got removed.
Answers
[tex]2\sqrt{5}\cdot \:4+5\sqrt{2}\cdot \:4[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:4=8[/tex]
[tex]=8\sqrt{5}+5\cdot \:4\sqrt{2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20[/tex]
[tex]=8\sqrt{5}+20\sqrt{2}[/tex]
[tex]Answer = =8\sqrt{5}+20\sqrt{2}[/tex]
Answer:
21√6
Step-by-step explanation:
Here we are to combine 2√54 and 5√24, and want to find any factor that these two quantities may have in common.
2√54 can be factored: 2√54 = 2√9√6, or 2[√6√9], or 6√6
Similarly, 5√24 =5√6√9, or 15[√6]
These two results can and should be added together: 7*3√6 = 21√6
EVALUATE 5/9 -1/4.............
Answers
Answer:
11/36
Step-by-step explanation:
Answer:
0.30555555555
Step-by-step explanation:
bur an
Question 4: Answer the following questions
1)
What percent is 40 of 50?
(2) 4.2)
What percent is 50 of 40?
Answers
Answer:
1, 20
2, 20
Step-by-step explanation:
Answer:
your correct answers are
1, 20
2, 20
Step-by-step explanation:
A dealer paid $7,000 for a car at an auction. At the dealership, a salesperson sold the car for 30% more than the auction price. The salesperson received a commission of 25% of the difference between auction price and the dealership price. What was the sales person’s commission?
Answers
25% of $2100 is $525
reverse percentage problem
Answers
answer: you're missing the problem
3, 6, 12,
The common ratio is
Answers
Answer:
The common ratio is 2.
Step-by-step explanation:
3 : 6 : 12
1 : 2 : 4
Seventy weather balloons were sent up. Twenty-eight were found. What percent wer ound? 17
Answers
Step-by-step explanation:
let the percent of found balloons be x
given,
total number of balloons= 70
number of found balloons= 28
according to the question,
x% of 70= 28
x/100 × 70 = 28
x=40
hence 40% of the balloons were found
What is the probability of student liking music given they already like
Answers
Answer:
So so so easy its 1 because all of them like music
HELPPP ME PLEASE WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER
Answers
Answer:
Option (3)
Step-by-step explanation:
Properties for the vertical stretch or shrink of a function,
If a function is f(x) = k|x|
1). Function will be vertically stretched if k > 1
2). Function will have a vertical shrink if 0 < k < 1
To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.
And the value of k will be, 0 < k < 1.
Therefore, g(x) = [tex]\frac{1}{3}f(x)[/tex] will be the transformed graph.
Therefore, Option (3) will be the correct option.
Consider the relation y → 4 x−1 for the domain {3, 5, 7, 9}
(a) Calculate the values for the range.
Answers
Answer:
{ 11, 19, 27, 35 }
Step-by-step explanation:
To find the range substitute each value of x from the domain into the relation
x = 3 : y → 4(3) - 1 = 12 - 1 = 11
x = 5 : y → 4(5) - 1 = 20 - 1 = 19
x = 7 : y → 4(7) - 1 = 28 - 1 = 27
x = 9 : y → 4(9) - 1 = 36 - 1 = 35
range is { 11, 19, 27, 35 }
Mr. Norris buys a boat for $125,000. He has to pay a 5% tax on his purchase of the boat. How much money is the tax?
Answers
6250 is 5% of 125000
Estelle hosted a banquet for her extended family that cost $480.93. Estelle paid 9.25% sales tax and left an 18% tip on $480.93. What was the total cost?
Answers
Answer:
$563.89: total cost of the banquet
Step-by-step explanation:
Here we can to find the total cost, including tax and tip, by adding 9.25% and 18% together first. We obtain 17.25%, which translates into the decimal fraction 0.1725 and results in the amount added to the original cost, $480.93. The result is added to $480.93:
1.0000($480.93) + 0.1725($480.93) = $563.89
A shortcut would be to find the total cost, including the original $480.93 and the additional 17.25%, by multiplying $480.93 by 1.1725:
1.1725($480.93) = $563.89: total cost of the banquet
Solve
4(-5)(-2)(-3)
show your work<3
no links
Answers
Answer:
-120Step-by-step explanation:
4(-5)(-2)(-3)
= -20 × 6
= -120 (Ans)
Answer:
-120
Step-by-step explanation:
lots of approaches here
suggest saying that there are 3 (odd) number of negative signs
so the answer is negative (-)
5*4 = 20
20*2 = 40
40*3 = 120
we determined that the answer has to be negative
-120
Use the perfect square trinomial identity to write this expression in factored form:
x2 + 10x + 25.
Answers
(X + 5)^2
Answer:
[tex] {x}^{2} + 10x + 25 \\ = ( {x}^{2} + 10x + {5}^{2} ) + (25 - {5}^{2} ) \\ = {(x + 5)}^{2} [/tex]
please find Area of triangle
Answers
Answer:
60
Step-by-step explanation:
Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.
How do you do this ?
Answers
Answer:
the answer is- g= 72/d minus f/d
Find the measure of the arc DC
Answers
Answer:
The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°
Step-by-step explanation:
What is the relationship between the values tand s plotted on the number line
below?
S
A. t= s
B. t>s
O c. tcs
Answers
Answer:
The answer should be t > s. (B) is the answer.
Which relationship has a zero slope?
Answers
a²+b²=c²
5²+9²=c²
25²+81²=c²
106=c²10.2
5
Name a pair of adjacent angles and a pair of vertical angles in the figure
Answers
Answer:
Adjacent: <ABC and <CBD
Vertical: <ABC and <EBD
Step-by-step explanation:
Adjacent angles: Angles that share one ray.
Vertical Angles: Opposite angles created by the intersection of two lines.
Hope this helps!!
please help will give brainlist!
Answers
Answer:
[tex]b=\frac{1}{6}[/tex]
Step-by-step explanation:
In [tex]f(x)=a\cos(b(x-c))+d[/tex], [tex]b[/tex] represents a constant related to the period of the function. Here's how it's related:
[tex]b=\frac{2\pi}{T}[/tex], where [tex]T[/tex] is the period of the function.
We're given [tex]T=12\pi[/tex], so solving for [tex]b[/tex]:
[tex]b=\frac{2\pi}{12\pi}=\boxed{\frac{1}{6}}[/tex]
HELPPP PLEASEEEEEEE!!
Answers
Answer:
We would use the explicit formula since the explicit formula is used for finding the nth term in a sequence. The reason why it's not the recursive is because the recursive formula helps you find the next terms using a formula of the preceding term or term before the next term.
estimate the measure of
Answers
Answer:
Step-by-step explanation:
That appears to be approximately 45 degrees, so to the nearest 10, I would put that at about a 50 degree angle.
Describe the main parts of a proof? ..
Answers
Answer:
Answer Expert Verified
Given; prove; statements; and reasons. Explanation: The given is important information we are given at the beginning of the proof that we will use in constructing the proof. The "prove" is the statement we are trying to prove
Answer:
Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.
Step-by-step explanation:
Have the day you deserve :)
