Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work
Answers
=========================================================
Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = xThe hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode
Related Questions
6 Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75 SO
far and plans to save an additional $10.50 each week. For how many weeks will Petra need to
save $10.50 to have enough money to buy the electronic reader
Answers
Answer:
Petra would need to save for 12 weeks to get 126
126+34.75=160.75
Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.
Here, So far and plans to save an additional $10.50 each week.
Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x
So, We can formulate;
⇒ 10.50x + 34.75 = 160.75
Solve for x;
⇒ 10.50x = 160.75 - 34.75
⇒ 10.50x = 126
⇒ x = 126/10.50
⇒ x = 12
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Rebah and her twin brother are planning a birthday party at Pizza Pete's. There is a S64.75 charge to reserve a party room plus $4.95 per person charge for lunch
Explain how to find the greatest number of people that can attend the party for $175.00. Show your work, and state the number of people.
QUICKKK PLZZ
Answers
Answer:
22 people
Step-by-step explanation:
Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.
Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.
So that would be my answer. I hope that helps. :)
1. Kristina took out a bank loan for $60,000 that must be repaid with regular monthly payments of $1100. The bank charges her an interest rate of 3.0% compounded monthly a) How many payments will Kristina have to make to pay off the loan. N=? I= ?PV = ?PMT= ? FV=? P/Y = ?C/Y =? END BEGIN b) How much interest will Kristina Pay?
Answers
Answer:
See belowStep-by-step explanation:
Given:
Loan amount PV = $60000Interest rate r = 3% PATime t = x yearsNumber of compounds n = 12Monthly payment PMT = $1100FV is:
60000*(1 + (3/100)/12)^(12x) = 60000*(1.0025)^(12x)Which is same as total payment:
1100*12*xSolve the following by graphing:
60000*(1.0025)^(12x) = 1100*12*xSee attached
The solution is:
x = 5.333 = 5 1/3 years = 5 years 4 months = 64 monthsTotal payment:
FV = $70 395.95The amount of interest:
I = FV - PV = 70395.95 - 60000 = $10395.95Help me pleaseeeeeeeeeeeeeee
Answers
The formula to find the volume of a cube is:
volume= a^3
OR
volume= a*a*a
(a stands for the side length)
The way you would write it is:
V=2.8^3
Then you solve.
You would get 21.952
But since you need to round to the tenth place it would be:
22
Hope this helps! :)
if the tank length is 24 inch and width is 12 inch then how much litre of water is in it?
Answers
Answer:
Step-by-step explanation:
How to Estimate Aquarium Water Volume
You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.
You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.
Tank Volume Formulas
See the volume formulas for various aquarium fish tank styles below.
Rectangular Tank Formula
tank volume = l × w × h
l = tank length
w = tank width
h = tank height
which table shows a proportional relationship. i meed help
Answers
NEED ANSWERS PLEASEEE! PROGRESS REPORTS GO IN SOON.
Answers
Answer:
1. they both are the same length and diameter, the difference is thw diameter is a different direction.
2. 4 cm
3. EB and 8 cm
Step-by-step explanation:
Diameter is the length of the circle aross, hope this helps!
find the value of x. send help friends
Answers
Answer:
50
Step-by-step explanation:
they have to add up to 80.
think about them sliding to the main vertex...
Solve 2(x - 5) + 11 = 17
Show how you got your answer(s).
Are either of your answer extraneous yes or no. Justify your response
Answers
Answer:
x=8 and is not extraneous
Step-by-step explanation:
2(x-5)+11=17
2x-10+11=17
2x+1=17
2x=17-1
2x=16
x=8
extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation
2(8-5)+11=17
2(3)+11=17
6+11=17
17=17
since it works in the orignial equation it is not extraneous
The solution to the equation 2(x - 5) + 11 = 17 is x = 8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2(x - 5) + 11 = 17
When the like terms are evaluated, we have
2(x - 5) = 6
Divide through the equation by 2
x - 5 = 3
So, we have
x = 3 + 5
Evaluate
x = 8
Hence, the solution to the equation is x = 8
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WILL GIVE BRAINLIEST
Answers
Answer:
31). (0,-2), (2,-5).
32). (0,-1), (5,3).
33). (0,1), (5,-2).
34). (0,1), (4,0).
solve the problem (pls help fast)
Answers
PLSSS HELP THIS IS HARD ANYONE
Answers
Answer:
b: 8
Step-by-step explanation:
with dilating by 2, the B' figure would be bigger than B
because 4*2 = 8
the LCM and GCF of 66 and 101
Answers
Answer:
GCF: 1
LCM: 6,666
Step-by-step explanation:
I hope this helps!
How many gallons of gas can
you afford with $34.83 if a gallon of gas is $3.87 a gallon?
Answers
Answer:
You would be able to afford 9 gallons of gas.
Step-by-step explanation:
34.83 divided by 3.87 is 9. Have a nice day!
An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Show Your Work
Answers
Answer:
868412
Step-by-step explanation:
434206x2=868412
Identify the equation of the line graphed below. Prove by converting!
A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8
Answers
which is the better deal $2.98 for 2 liters of soda or $7.40 for 5 liters? find the unit price of the better deal on the coloring sheet.
Answers
Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
Hope this Helps :)
Can u mark me the brainliest
Using the equation F = 1.8C + 32, find the temperature in °C if it is 92°F. Round your answer to the nearest whole number if necessary.
Giving brainliest to the CORRECT answer! (Whoever answers with the explanation of how you got your answer will get brainliest but it HAS to be a correct answer)
Answers
Answer:
33 °C
Step-by-step explanation:
Put 92 where F is in the equation, and solve for C.
92 = 1.8C +32 . . . . substitute for F
60 = 1.8C . . . . . . . . subtract 32
60/1.8 = C ≈ 33.33 ≈ 33 . . . . . divide by the coefficient of C, round the result
The temperature is about 33 °C.
Given that a/b=3/5 and b/c=4/5
Find a:b:c giving your answer in its simplest form
Answers
Answer:
12 : 20 : 25
Step-by-step explanation:
Express the ratios in terms of a
[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
3b = 5a ( divide both sides by 3 )
b = [tex]\frac{5}{3}[/tex] a
[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )
4c = 5b ( divide both sides by 4 )
c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a
Then
a : b : c
= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )
= 12a : 20a : 25a ( divide each part by a )
= 12 : 20 : 25
How much is the bill for a person who uses 600kWh in a month?
Answers
Answer:
the correct answer is $80
Step-by-step explanation:
your welcome(:
can I get the brainliest?(:
thank me if it was right for you too
Help help help math math
Answers
Answer:
Step-by-step explanation:
Answer:
volume of sphere is 4000cubic ft..... when
[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]
1 point
16.) During the soccer season, Carla scored goals on 7% of the shots she
took. If she scored 14 goals, how many shots did she take? *
20 shots
98 shots
10 shots
200 shots
Answers
7/100 * x = 14
x = 200 shots
Triangle UVW is dilated by a scale factor of 3 to form triangle UVW. Side VW
measures 54. What is the measure of side VW?
Answers
Answer:
162
Step-by-step explanation:
In geometry, dialation is increasing the size of a shape on a plane. Since the porblem you have givine isn't requiring the triangle to be centered around a point, this is fairly easy. If you are increasing UVW by a scale factor of 3, you are multiplying each side by 3. So, if side VW is 54, after dilation VW' will have a length of 162. (54 × 3 = 162)
Hope that helped!
You roll one die 8 times. What is the probability of rolling exactly six fours
Please convert the fraction into a decimal
Answers
Answer:
4/8 = 1/2 = 0.5 is your answer
SOS, I really need help! I accidentally slept in.
Answers
Dynamite blue fire red grape purple
20(d – 4) + 4d *less than sign and a line under it* 8
Answers
Answer:
the anser od 20(d-4)+4d is5
please help.
with the steps
Answers
Answer:
-4/243
Step-by-step explanation:
Your calculator can do this.
You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...
[tex]\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}[/tex]
Find the equation of the linear function represented by the table below in
slope-intercept form.
Answers
Answer:
5 over 1 (5/1) or 5.
Step-by-step explanation:
y is adding 5 each time and x is adding 1 each time.
Not sure about the equation part though.
What are the terms in the expression 2d+7+5f
Answers
Answer:
3 terms 2d,7 and 5f
Step-by-step explanation:
Answer:
The answer would be 2d 7 5f hope this helps
Step-by-step explanation:
PLEASE HELPPP!
You’re buying hand lotion. The lotion comes in rectangular pyramid-shaped bottles. Bottle A has a base of 1 in x 2 in, and a height of 6 in. Bottle B is a wider bottle with a base of 1.5 in x 3 in, and a height of 4 inches. Which bottle has more lotion?
Answers
Answer:
Bottle B has a larger volume of lotion therefore the correct answer
Step-by-step explanation:
1×2×6=12/3=4 Bottle A
1.5×3×4=18/3=6 Bottle B
Answer:
Bottle B contains 6 in3 of lotion, and Bottle A contains 4 in3. Bottle B contains more.
Step-by-step explanation:
pf
