In triangle QRS the measure of right angle S is SQ=90 degrees Sq=47 feet and Rs=70 feet. Find the measure of angle R to the nearest tenth of a degree
Answers
Answer:
x=33.9°
Step-by-step explanation:
Trigonometric Ratios
In a right triangle, i.e. the triangles that have an internal angle of 90°, the so-called trigonometric ratios are valid.
There are six trigonometric ratios that can be used in right triangles, depending on the data available for each problem.
The current question gives us two sides in a right triangle and requires us to calculate the angle x.
The angle x 'looks' at the sides of the triangle in this way: RS=70 is the adjacent leg, SQ=47 is the opposite leg, and RQ is the hypotenuse.
We should use the trigonometric ratio that relates both the adjacent and the opposite led. There are two possibilities: The tangent and the cotangent. We'll use the tangent for no particular reason.
The tangent of an angle is defined as:
[tex]\displaystyle \tan\x=\frac{\text{opposite leg}}{\text{adjacent leg}}\\[/tex]
Use the given values:
[tex]\displaystyle \tan x=\frac{47}{70}=0.6714[/tex]
Using a calculator (in degree mode), we calculate the angle:
[tex]x=\tan^{-1}(0.6714)=33.9^\circ[/tex]
x=33.9°
Related Questions
The entrepreneurship club is ordering potted plants for
all 36 of its sponsors. One store charges $8.50 for each
plant plus a delivery fee of $20.
The equation 320 = x + 7.50(36) represents the cost
of ordering potted plants at a second store.
What does the x represent in this situation?
The cost for each potted plant at the second store
The delivery fee at the second store
The total cost of ordering potted plants at the second store
The number of sponsors of the entrepreneurship club
Yes
Answers
Answer:
The delivery fee at the second store
Step-by-step explanation:
The x represents the delivery charge.
The cost for each potted plant at the second store is $7.50.
The delivery fee at the second store is $50.
The total cost of ordering potted plants at the second store is $270.
The number of sponsors of the entrepreneurship club is 36.
Given,
The entrepreneurship club is ordering potted plants for all 36 of its sponsors.
One store charges $8.50 for each plant plus a delivery fee of $20.
The equation 320 = x + 7.50(36) represents the cost of ordering potted
plants at a second store.
We need to find:
- what does the x represents
- the cost for each potted plant at the second store
- the delivery fee at the second store
- the total cost of ordering potted plants at the second store
- the number of sponsors of the entrepreneurship club
How do we represent a total cost with different charges and a number of items?If the number of items = M
Cost of each item = $N
Charges = P
Then the total cost can be represented by:
= M x $N + P
The charges are separated since it's an individual charges.
The exclusive total cost for the items is:
= Number of items x Cost of each item.
We have,
Number of sponsors = 36
One store:
Cost of each plant = $8.50
Delivery fee = $20
Second store:
320 = x + 7.50(36)
This equation represents the cost of ordering plotted plants from the second store.
Here,
x = delivery charges
Cost of each plotted plant = $7.50
The delivery fee at the second store:
320 = x + 7.50(36)
320 = x + 270
x = 320 - 270
x = $50
The total cost of ordering potted plants at the second store:
= 7.50 x 36
= $270
The number of sponsors of the entrepreneurship club:
= 36
Thus,
The x represents the delivery charge.
The cost for each potted plant at the second store is $7.50.
The delivery fee at the second store is $50.
The total cost of ordering potted plants at the second store is $270.
The number of sponsors of the entrepreneurship club is 36.
Learn more about what the given expression represents here:
https://brainly.com/question/11632535
#SPJ2
Solve and show your work.
12-[2 + 6 ÷ (10 - 2³)]
Answers
Answer:
7
Step-by-step explanation:
[tex]2^{3} = 8[/tex] Plug 8 in: 12 - [2 + 6 ÷ (10 - 8)]10 - 8 = 2Plug 2 in: 12 - [2 + 6 ÷ (2)]6 ÷ 2 = 3Plug 3 in: 12 - [2 + 3]2 + 3 = 5Plug 5 in: 12 - 512 - 5 = 7I hope this helps!
16) 56 is what percent of 40?
%
Answers
140
Step-by-step explanation:
56:40*100 =
(56*100):40 =
5600:40 = 140
Come One Come All!!!!!
Answers
Answer: 1. is A, 2. is C, i dont know 3. 4. is B i think. then 5. is probably option 2
Step-by-step explanation:
Pls help i dont understand :( will give Brainliest + 25 Points
Answers
Answer:
A
Step-by-step explanation:
plug the points into the slope formula
slope = (y2 - y1)/(x2 - x1) Then you get the slope of -0.5
(5 - -1))/(-6-6)
6/-12
-0.5
Plug a point in to the equation of y = -0.5x + b
-1 = -0.5(6) +b
2 = b
Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle
Answers
Answer:
This is very easy.
Step-by-step explanation:
Get a graph. The top of your triangle would be (0,0), the next angle or point would be (10,-4), and the last would be (-4,10). If graphed, the triangle would look like a triangle slanted to the left. To picture this, the top of your triangle would be diagonal to the second point (10,-4). Remember it's slanted to the left. That should be easier to picture.
Probability is a measure of how likely an event is to occur. Match one of the probabilities that follow with each statement of likelihood given. (The probability is usually a more exact measure of likelihood than is the verbal statement.)0 0.01 0.45 0.50 0.55 0.99 11. This event is impossible. It can never occur.A. 0B. 0.01C. 0.3D. 0.6E. 0.99F. 12. This event is certain. It will occur on every trial.A. 0B. 0.01C. 0.3D. 0.6E. 0.99F. 13. This event is very likely, but it will occur once in a while in a long sequence of trials.A. 0B. 0.01C. 0.3D. 0.6E. 0.99F. 14. This event will occur slightly less often than not.A. 0B. 0.1C. 0.3D. 0.45E. 1
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Verbal statement and associated probability:
P = 0 ; This event is Impossible event, it will never occur. It is the least value of probability an event can take.
P = 1 ; This event is certain, it will occur on every trial. It is the highest value of probability an event can have.
P = 0.6 ; very likely event, but will occur once in a while in a long sequence of trials ; very likely signifies a probability above average (0.5) though will not always occur.
P = 0.45 ; This event will occur slightly less often than not; as the probability value slightly falls below the average standardized probability value (0.5)
The list price of a toolbox is $127.35. The chain discount is 10/5. What is the final net price?
Answers
Answer:
[tex]125.35[/tex]
Step-by-step explanation:
[tex]The \: final \: net \: price \:is \: 127.35 - \frac{10}{5} =\\ 127.35 - 2 = 125.35[/tex]
Find the value of the unknown
Answers
Answer:
20°
Step-by-step explanation:
Step 1:
4n = 80° Vertical ∠'s
Step 2:
n = 80° ÷ 4 Divide
Answer:
n = 20°
Hope This Helps :)
Hey I have a question for y’all, what helps build preseverance in your opinion ?
Answers
Answer:ummm......
Step-by-step explanation:
what ur questions I don't get it
PLZ HELP THIS IS DUE SOON!!!!!!! Divide. Round to the nearest hundredth if necessary.
To the nearest hundredth, 80.88÷8.425 is_______
Answers
Answer:
10
Step-by-step explanation:
when you divide 80.88 by 8.425 you get 9.6
and since youre rounding, you can round up 6 because its higher than 5
and your final answer should be 10.
hoped this helped! :)
Please help I’m in a hurry
Answers
Answer:
I believe it is A 20,
however id wait for another answer to confirm lol
Write a number that has a 5 that is 1/10 the value of the 5 in 5.348
Answers
Answer:
0.5
Step-by-step explanation:
5.348
5 is in ones place
5/10=0.5
Need help ASAP hv 30 minutes
Answers
Answer:0.8 I think
Step-by-step explanation:
A radio station requires DJs to play 2 commercials for every 14 songs they play. What is the unit rate of songs to commercials? songs The unit rate is 1 commercial
Answers
The correct answer for this question is that the unit rate is 5:1. We can work this out by simplifying down the 2 commercials to every 10 songs ration, so that 10:2 becomes 5:1. We can work this out by halving the original ratio to simplify it.
Solve the logarithmic equation by writing in exponential form or by graphing.
log (7 − 2x) = −1
Answers
Answer:
10^-1 = 7 - 2x
Step-by-step explanation:
what is the measure of angle BCD?
Answers
Step-by-step explanation:
here is my step by step so first you look at the two inner angles which in this case are B and C then you multiply them together to get your angle D.
Answer:
A.) obtuse angle
B.) 180 degrees
C.) 95 degrees
Step-by-step explanation:
C.) 80 - 85 = 95
if I walk 125 steps in a minute what would my walking rate per minute be
Answers
Answer:
um 125? Is this a joke ??????
If I had 3 apples, and Mortar took 1 apple, how much would i have left???
Answers
Answer:
2 Apples!!!
Step-by-step explanation:
Hope this helps!!!
Answer:
2 apples
Step-by-step explanation:
3 - 1 = 2.
Hope this helps.
In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1.
Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.
(SELECT TWO)
Answers
Answer:
If this is a multiple-choice, then you just have to pick the choices that are 3:1, but multiplied, like 6:2, 9:3, etc.
find the value of x.
x=
Answers
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
help me solve please.
Answers
Twenty-seven of the 180 people in a movie theater bought a small popcorn.
True or false: This is the same as 3/20 of the people.
True false question.
True
False
Answers
Answer:
True
Step-by-step explanation:
It's true
Answer:
False ur welcome
Step-by-step explanation:
why is 6/3 an integer
Answers
Hey there!
Answer:
6/3 is not an integer*
Step-by-step explanation:
Integers are just like whole numbers, but they also include negative numbers:
Integers: { -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 }
*Like whole numbers, integers don't include fractions or decimals.
Hope this helps!!
:D
determine the slope of the line given this two points (-2,4) and (1,6) with solution
Answers
Answer:
Slope = y2 - y1/x2 - x1
Slope = 6-4 / 1--2
Slope = 2/3
Step-by-step explanation:
hope that will help you
The slope of the line will be 2/3.
The formula for the slope will be:
= (y2 - y1) / (x2 - x1)
where,
y2 = 6
y1 = 4
x2 = 1
x1 = -2
We will slot the values into the equation which will be:
= (y2 - y1) / (x2 - x1)
= (6-4) / (1- -2)
= 2/(1+2)
= 2/3
Therefore, the slope is 2/3.
Read related link on:
https://brainly.com/question/24645618
I need help with this please
Answers
Answer:
idk
Step-by-step explanation:
Factor completely
3x^2 + 7x - 6
Zzz
Answers
Answer:
(3x−2)(x+3)
Step-by-step explanation:
these are ur answers
3x^2+7(x)-6
3x^2+(-2+9)x-6
3x^2-2x+9x-6
(3x^2-2x)+(9x-6)
x(3x-2)+3(3x-2)
(3x-2)(x+3)
Brainliest please??
Can someone help please
Answers
M = 90
N = 59
L + M + N = 180
(3x-5) + 90 + (5x-1) = 180
Combine
8x + 84 = 180
8x = 96
X = 12
Replace X with 12 for N and L
L = (3x -5) = 36 -5 = 31
N = (5x - 1) = 60 - 1 = 59
Liam earns $7.00 an hour shoveling snow. What is the relationship between the number of hours and the amount he earns?
Answers
okay that's alll guess
Shakira is baking cookies to put in packages for a fundraiser. Shakira has made 86 chocolate chip cookies and 42 sugar cookies.
Shakira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
Answers
Answer:
she can make 42 identical packages
Step-by-step explanation:
Answer:
Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.
86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies
With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.
-I hope this is the answer you are looking for, please feel free to post your questions of brainly.com in the future.