geometry: find the value of x. Round to the nearest tenth. How do I do this? screenshot attached
Answers
Answer:
[tex]\boxed {\boxed {\sf x \approx 105.3}}[/tex]
Step-by-step explanation:
To solve for x, remember the right triangle trigonometry ratios (soh-cah-toa).
sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacentIf we look at the angle given (θ), then we see that 36 is adjacent or next to the 70° angle. x is the hypotenuse because it is opposite the right angle. So, we have to use cosine (adjacent and hypotenuse).
[tex]cos (\theta)=\frac {adjacent}{hypotenuse}[/tex]
[tex]cos(70)=\frac{36}{x}[/tex]
Cross multiply. (Multiply the first numerator by the second denominator. Then, multiply the first denominator by the second numerator).
[tex]\frac{cos(70)}{1}=\frac{36}{x}[/tex]
[tex]cos(70)*x= 36[/tex]
Since we want to solve for x, we must isolate the variable. Divide both sides by the cosine of 70.
[tex]\frac{cos(70)*x}{cos(70)}=\frac{ 36}{cos(70)}\\x= 105.2569584[/tex]
Round to the nearest tenth. The 5 in the hundredth place tells us to round the 2 to a 3.
[tex]x \approx 105.3[/tex]
x is about 105.3
Related Questions
32
Which of the following is equivalent to
(16^3/2)^1/2
?
6
8
12
64
Answers
Answer:
8
Step-by-step explanation:
Consider the expression
Answers
a square pyramid has a volume of 30 cubic millimeters and a height of 5 mm what is the area of the base of the pyramid
PLEASE HELP ME AND IF U GIVE ME A LINK OR A FILE I SWEAR.
Answers
Answer:
Step-by-step explanation:
V=hb/3, where b=area of base
b=3V/h, since V=30mm^3 and h=5mm then
b=3(30)/5
b=18 mm^2
So the area of the base is 18 square millimeters.
could you help please i will give points but please explain
Answers
Answer: 7/12
Step-by-step explanation: Given that,
(5/6) - (1/4) = ?
The difference Will be, take L.C.M. of 6 and 4 which is 12, then we get,
= ( 10 - 3 ) / 12
= 7 /12
Identify the response variable and whether the setting involves a single sample, a matched pairs, or two independent samples.
a. A chemist obtains a reference specimen of known concentration from the National Institute of Standards and Technology. She then makes 20 measurements of the concentration of this specimen with the new method and checks for bias by comparing the mean result with the known concentration.
b. Choose 40 romantically attached couples in their midtwenties. Interview the man and woman separately about a romantic attachment they had at age 15 or 16. Compare the attitudes of men and women.
c. Another chemist is checking the same new method. He has no reference specimen, but a familiar analytic method is available. He wants to know if the new and old methods agree. He takes a specimen of unknown concentration and measures the concentration 10 times with the new method and 10 times with the old method.
Answers
Answer:
1. single sample design
2. matched pairs
3. two independent samples.
Step-by-step explanation:
the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.
1.
In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.
the response variable here is the measurement of concentration.
2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior
3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.
Which is an equivalent expression for 6(2y+4)+5y?
please help
Answers
Answer:
17y+24
Step-by-step explanation:
simplify so the first step would be to multiply whats in the parentheses by the number outside in this case its 6 youd get:
12y+24+5y
then you simplify farther by adding like terms
17y+24
A normal six-sided die is thrown once. The number of outcomes in the sample space is
Answers
The number of outcomes in the sample space is 6.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.
So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".
Sample space by its definition is list of all the possible outcomes of an experiment.
S={1,2,3,4,5,6}
Hence, the number of outcomes in the sample space is 6.
To learn more on probability click:
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#SPJ2
Select all the properties of a right triangle.
Group of answer choices
Has a right angle
Has one obtuse angle
Has perpendicular lines
Has three acute angles
Answers
Answer:
aaaaa
Step-by-step expaalanation:
aa
Answer:
It should be answers one and three
At the store, you see oranges on sale at 1 pound for 3 dollars. At a different store, your brother sees oranges on sale at 3 pounds for 8 dollars.
Do the oranges cost the same at both stores?
Which store offers a better deal?
Answers
A basketball player made 16 shots for a total of 38 points during a game. Some points were worth 2 points and some were worth 3 points. Write a system of equations that models this. How many 2 and 3 point shots did he make? Write your answer as a coordinate.
Answers
Answer:
4- 3s and 2- 2s
Step-by-step explanation:
3+3+2+2+3+3
Can anyone solo be this?
Answers
Answer:
x = 10
Step-by-step explanation:
Angles 12x and 10x + 20 are "vertical angles," meaning that they are identical (same value). Therefore we can write the equation 12x = 10x + 20, which reduces to 2x = 20, or x = 10.
Answer:
x=10
Step-by-step explanation:
Hey There!
Those are a pair of vertical angles
Therefore they are congruent
congruent meaning identical in form
So we would setup and equation and because the angles are congruent the equation would be
12x=10x+20 and solve for x
Step 1 subtract 10x from each side
10x-10x cancels out
12x-10x=2x
now we have
2x=20
Step 2 divide each side by 2
2/2 cancels out
20/2=10
Therefore x=10
What is the cost of 12.7 gallons of gasoline at $2.15 per gallon?
Please Help I’ll put Brainliest!!!!!!!
Answers
Answer:
$27.31 (rounded to the nearest cent)
A cosine function has a period of 5π6, an amplitude of 6, and a vertical translation 5 units down. The function is not reflected over the x-axis.
What is the equation for this cosine function?
Answers
Answer:
The equation is "[tex]y=6 \ Cos(\frac{12}{5}x)-5[/tex]". A further explanation is described below.
Step-by-step explanation:
The given values are:
Period,
B = [tex]\frac{5 \pi}{6}[/tex]
= [tex]\frac{12}{5}[/tex]
Amplitude,
A = 6
Vertical translation down,
D = -5
As we know,
The equation of cosine function will be:
⇒ [tex]y=A \ Cos(Bx)+D[/tex]
On substituting the values in the above equation, we get
⇒ [tex]y=6 \ Cos(\frac{12}{5}x)+(-5)[/tex]
⇒ [tex]y=6 \ Cos(\frac{12}{5}x )-5[/tex]
Answer:
Step-by-step explanation:
balance the equation 45=r+13
Answers
Answer:
45=32+13
Step-by-step explanation:
because you need to get 45 on the other side to balance it out
Answer:
32
Step-by-step explanation:
45=r+13
r=45-13
r=32
Which of the following is equivalent to the expression below?
4x + 3(2x - 1) - 4x
Answers
7)
Which could be solved for x?
-0)
A)
2x+2
B)
3(x+ 2)
)
D)
1 / 8x = 12
Answers
Sarah is redecorating her bedroom and wants to pack away some picture frames. She is using a box that has measurements of 7 1/2 inches long, 3 2/3 inches wide, and 4 1/4 inches tall for storing them.
Part A:
What is the volume of Sarah's box?
Part B:
Each picture frame has a volume of 2 1/2in. Using your findings in Part A, how many picture frames can Sarah fit in her box?
Answers
Answer:
A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3
35.5 + 10.7 + 10.3 = 56.5
B. 21÷2 = 10.5
56.5 ÷ 10.5 = 5.380952381
5 pictures frames
CAMO is a rectangle with diagonals intersecting at W. WA = 4x - 3 , CW = x + 6 , and AO = 22 Find x.
Answers
Answer:
x = 3.5
Step-by-step explanation:
diagonals bisect each other so AW = OW
since AO = 22 then AW = 11
11 = 4x - 3
14 = 4x
x = 7/2 or 3 1/2
Can anyone help, I got really confused doing this problem, and I can’t find the answer for it.
Answers
Answer: The area is 45 square feet
Step-by-step explanation: Use the formula (base*height)/2. Base in this case is 15, while height is 6. (15*6)/(2) It should equal 45 square feet.
Answer:
45^ft
Step-by-step explanation:
1/2 B ×H
1/2(6)×15=45^ft
Which figure can be formed from the net?
Answers
Answer:
its the figure on the top left, so A
brainliest pls! :D
Answer: the third one
Step-by-step explanation:
i took the quiz on k12
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Answers
Answer:
Step-by-step explanation:
a) 1 degrees Celsius (the line matches with that number)
b) -2 degrees Celsius
c) 3.5 degrees Celsius (since its between 3 and 4 its 3.5)
d) -0.5 degrees Celsius
e) the numbers will be going by 5s: (-20,-15,-10,-5, 0, 5, 10, 15, 20, 25)
I hope this makes sense and you understand it :)
There are 64 pretzels in a 16-ounce bag of chocolate-covered pretzels.
How many chocolate covered pretzels are there per ounce?
Answers
Answer:
64 pretzels in a 16 oz bag
1 oz will contain 64/16 pretzels = 4
5 oz will therefore contain 4 x 5 = 20 pretzels
Step-by-step explanation:
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Jasmine bought a pennant (triangle) of the favorite baseball team. If the base is 16 inches and height is 24 inches, how much area will it cover on her wall? (HOW DID YOU GET YOUR ANSWER, PLEASE SHOW ME YOUR WORK!!)
A. 600
B. 111
C. 598
D. 192
E. 9854.05
F. 9843.75
G. 55
H. 1
Answers
This would be a simple area problem with a triangle. REMEMBER THIS EQUATION: a=bh*1/2 (b for base and h for height, these are multiplied together then that answer is halved out.)
So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.
So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.
I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.
15x^2+5x GCF help. out please
Answers
Answer:
5x is the GCF
Step-by-step explanation:
christian has a maximum of 50$ to spend on his school trip a ticket to the theme park cost 27$
Answers
Answer:
50 minus 27 is 23 so she has $23 more dollars left?
Step-by-step explanation:
Convert 20% into a fraction
ANSWER QUICKK
Answers
Answer:
1/5.
Step-by-step explanation:
20%
20/100
20/20 / 100/20
= 1/5
---
Hope this helps!
Answer:
20/100 or 1/5
Step-by-step explanation:
Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25
hope it helps! :3
Very much need some help ASAP !!
Answers
Answer:
D
Step-by-step explanation:
It cannot be Option A because the values are halve and there is nothing to distribute to them to make the values equal.
It's not option C because if you distribute 2y to each term in the parenthesis
you get -4[tex]y^{5}[/tex] + 6y³ + 4y². But where is the 8y² and -2y?
While Option B is equivalent, you can factor it out more and find the common factor of -2 to distribute among them as shown in option D
It is option D because distributing the -2y to each term solves to
-4[tex]y^{5}[/tex] + 6y³ + 8y² -2y.
What is the radius of a circle whose equation is (x – 7)2 + (-10)2 = 4?
2 units
4 units
8 units
16 units
Answers
Answer:
Its A) 2 units
Step-by-step explanation:
What rule describes the translation?
Write tule as an ordered pair
Answers
For B (x+6), (y-2)
For C (x+2), (y+2)
Good luck
62.8 in scientific notation
Answers
Answer:
6.28 x 10²
Step-by-step explanation:
first number must be greater than or equal to 1 and less than 10
if you move the decimal to the left you need to increase the power of ten by one for each move
if you move the decimal to the rightt you need to decrease the power of ten by one for each move