A 20 ft. beam leans against a wall. The beam
reaches the wall 13.9 ft. above the ground.
What is the measure of the angle formed by the
beam and the ground?
Answers
Answer:
a 44°
Step-by-step explanation:
Think of the right triangle formed by the beam, the ground, and the wall.
The beam is the hypotenuse. For the angle between the ground and the beam, call it angle A, the 13.9 ft side is the opposite leg. The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin A = opp/hyp
sin A = 13.9/20
sin A = 0.695
A = sin^-1 0.695
A = 44°
Related Questions
Nancy bought a mobile phone marked at $720 at a discount of 20% and she had to pay 5% tax. If Nancy had to put 20% of what she had to pay including tax as a deposit, how much money did she have to pay for the deposit?
$___
Answers
Answer:
120.96
Step-by-step explanation:
Chrissy said, "on summer vacation i spent 2 1/2 weeks with my uncle and three weeks more with my aunt than with my uncle." How many weeks did she spend with her uncle and her aunt? Use fraction strips or number lines to find the sum.
Answers
help me
if i ned hellp
Answers
Answer:
The answer is B or 96!!
Step-by-step explanation:
Brainliest Please!
Answer:
Solution given:
total area of triangular prism=perimeter of base×height +2×area of traingle
={3+5+4)7+2(1/2×4×3}
=96in²
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If X machines are made, then the unit cost is given by the function C(x)=0.7x^2-462x+88218 .
What is the minimum unit cost?
Answers
Answer:
$11988
Step-by-step explanation:
Given that,
The unit cost is given by :
[tex]C(x)=0.7x^2-462x+88218[/tex]
We need to find the minimum unit cost.
For minimum cost,
Put [tex]\dfrac{dC}{dx}=0[/tex]
So,
[tex]\dfrac{d}{dx}(0.7x^2-462x+88218)=0\\\\1.4x-462=0\\\\x=\dfrac{462}{1.4}\\\\x=330[/tex]
Put x = 330 in equation (1).
[tex]C(330)=0.7(330)^2-462(330)+88218\\\\=\$11988[/tex]
So, the minimum unit cost is equal to $11988.
Find the length of side x in simplest radical form with a rational denominator.
Answers
[tex]x = \frac{7 \sqrt{3} }{2} \\ [/tex]
Explain.
[tex] \frac{7}{x} = \frac{2}{ \sqrt{3} } \\ [/tex]
[tex]7 \times \sqrt{3} = 2 \times x[/tex]
[tex]7 \sqrt{3} = 2x[/tex]
[tex] \frac{7 \sqrt{3} }{2} = x \\ [/tex]
[tex]x = \frac{7 \sqrt{3} }{2} \\ [/tex]
.
.
#LearnWithBrainly
GAK BISA BAHASA INGGRISLauren bought 4 bags of popcorn for $3. What is the unit rate per bag of popcorn?
Answers
A contractor decided to build homes that will include the middle 80% of the market. If the average size of homes built is 1810 ft2 with a standard deviation of 92 ft2, find the maximum and minimum sizes of the homes the contractor should build. Assume that the size of homes is normally distributed.
Answers
Answer:
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average size of homes built is 1810 ft2 with a standard deviation of 92 ft2
This means that [tex]\mu = 1810, \sigma = 92[/tex]
Middle 80%:
Between the (100-80)/2 = 10th percentile and the (100+80)/2 = 90th percentule.
Minimum size:
The 10th percentule, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = -1.28*92[/tex]
[tex]X = 1692.24[/tex]
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
Maximum size:
The 90th percentule, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = 1.28*92[/tex]
[tex]X = 1927.76[/tex]
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
How do I slove this question.
Answers
Answer:
c
Step-by-step explanation:
If Jacob's salary of $2,100 per month is increased by 5%, what is her new monthly salary?
Answers
Answer:
2,205
Step-by-step explanation:
Michelle started her dance class at 6:45 PM. She spent 85 minutes in dance class. At what time did Michelle finish her dance class?
Answers
Answer:
Michelle finished at 8:10 pm.
Step-by-step explanation:
85 mintues can be simplified to 1hr and 25 minutes, so add 85 to 6:45 and you get 8:10 :) If im wrong im sorry
The time at which Michelle finish her dance class is given by the equation A = 8 : 10 PM
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the time at which Michelle finished her class be A
Now , the time required for the dance class = 85 minutes
So , the time required for the dance class = 1 hour 25 minutes
The time at which Michelle started her class = 6 : 45 PM
So , the time at which Michelle finished her class A = time at which Michelle started her class + time required for the dance class
Substituting the values in the equation , we get
The time at which Michelle finished her class A = 6 : 45 PM + 1 hour 25 minutes
On simplifying the equation , we get
The time at which Michelle finished her class A = 8 : 10 PM
Hence , the equation is A = 8 : 10 PM
To learn more about equations click :
https://brainly.com/question/19297665
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Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.
Answers
9514 1404 393
Answer:
193.5 square units
Step-by-step explanation:
The area formula for this situation is ...
A = 1/2Pa
where P is the perimeter of the regular polygon, and 'a' is its apothem. For a pentagon, the perimeter is 5 times the side length, so the area is ...
A = (1/2)(5×10.6)(7.3) = 193.45
To the nearest tenth, the area is 193.5 square units.
can somebody please help me out ?
Answers
Answer:
30
Step-by-step explanation:
238,900/7,917=30.1755
Answer:
30
Step-by-step explanation:
You divide the distance to the Earth's diameter:
238,900/7,917=30
please help ASAPPPPP 13 points
Answers
Answer:
x^5/3y^1/3- 2nd option
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just divide the exponent by 3
Solve the following problem then write your answer before the number.
1.)Rizza started cycling at 7:15 a.m. By 7:35 a.m,she had covered a distance of 9km.Find his average speed in km/h.
2.)A car left Barretto at 10:50 a.m and reached Pampanga at 2:20 p.m.its average speed was 84 km/h.Find the distance between Barretto and Pampanga.
3.)Aaron travalled 210 km at a uniform speed of 60 km/h.How long was his travel?
Answers
Answer:
1) Rizza's average speed is 27 km/h.
2) The distance between Barretto and Pampanga is 294 km.
3) Aaron's journey was 3.5 hours long.
Step-by-step explanation:
1) Time taken to cove the distance = 20 minutes
60 minutes = 1 hour
So that, 20 minutes = [tex]\frac{20}{60}[/tex] hours
= [tex]\frac{1}{3}[/tex] hours
Distance covered = 9 km
But,
speed = [tex]\frac{distance covered}{time taken}[/tex]
Rizza's average speed = 9 ÷ [tex]\frac{1}{3}[/tex]
= 9 x 3
= 27 km/h
Rizza's average speed is 27 km/h.
2) Time taken = 3.5 h
the car's average speed = 84 km/h
Distance between Barretto and Pampanga = average speed x time taken
= 84 km/h x 3.5 h
= 294 km
The distance between Baretto and Pampanga is 294 km.
3) The uniform speed implies that Aaron did not accelerate during his journey.
Distance covered = 210 km
uniform speed = 60 km/h
time taken = [tex]\frac{distance covered}{speed}[/tex]
= [tex]\frac{210}{60}[/tex]
= 3.5 hours
Aaron's journey was 3.5 hours long.
hi can you please help me with my work
Answers
Answer:
3 expodent 12
Step-by-step explanation:
What is the approximate volume, in cubic inches, of a basketball with a diameter of 9 inches?
O 3,053.63
O 858.91
О 214.71
O 381.70
Answers
Answer:
858.91
Step-by-step explanation:
What percent of Miss Colwell's day does she spend watching Netflix if she
watches 4 hours a night?
a) 25%
b) 6%
c) 16.7%
d) 33.33%
Answers
A day is 24 hours.
She watches tv 4 out of 24 hours.
4/24 = 1/6 = 0.167 x 100 = 16.7 %
The answer is C. 16.7 %
Find the quotient (X^2+x-20)(x-4)
Answers
Answer:
x + 5
Step-by-step explanation:
[tex]\frac{x^{2} +x-20}{x-4}[/tex]
[tex]\frac{(x-4)(x+5)}{x-4}[/tex]
x + 5
...........................
Answers
Answer:
.. .. .. .. .. .... . ..
Step-by-step explanation:
... .... .. .. ..
A farmer, Mrs. Many, grows and sells two popular varieties of tomatoes: Better Boy tomatoes and Big Beef tomatoes. Both varieties of tomato take about 75 days to mature. She is designing a study to test the effectiveness of a new soil additive to increase tomato growth. She has 40 Better Boy tomatoes and 60 Big Beef tomatoes for her experiment.
Required:
a. Preliminary research suggests that Better Boy tomatoes and Big Beef tomatoes respond differently to the additive. What sort of experimental design would you choose for this study, and why?
b. Explain why an experiment involving 40 Better Boy tomatoes and 60 Big Beef tomatoes is preferable to one involving 4 Better Boy tomatoes and 6 Big Beef tomatoes.
c. Describe a design for this experiment. Be sure to include a description of how you assign individuals to the treatment groups.
Answers
Answer:
I believe the answer is B tell me if I'm correct please
middle school math problem
Answers
Answer:
12%
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
Shelly wants to have 6 rose bushes planted on her property. She asked a landscaping company to give her a bid. The contractor wanted $600 to buy and plant the bushes. Shell thinks she can do it by herself and save money. The bushes cost $40 each. How much will Shelly save by planting the bushes herself? (answer in only numbers) $
Answers
Answer:
$360
Step-by-step explanation:
If Shelly wants 6 rose bushes, and each bush costs $40, then you can multiply 6 by 40 to find the total amount of money Shelly will spend on them if she plants them herself. 6 x 40 = 240. You can then subtract 240 from 600 to find the amount of money she saves. 600 - 240 = 360
Answer:
$360
Step-by-step explanation:
im pretty sure its $360 because each bush is 40, 40x6=240. The contracter wants 600 when the bushes only cost $240 altogether. take 600 and subtract 240. you get 360:). hope that helps!!
Data from a 2006 GSS subsample show that the mean number of children per respondent was 1.87, with a standard deviation of 1.64. A total of 1,494 people answered this question. Estimate the population mean number of children per adult using a 90% confidence interval. We our 90% confident that the population mean number of children per adult is between to . Please round to the nearest tenth For example, rounding 0.843 to the nearest tenth would give 0.8.
Answers
Answer:
We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.
Step-by-step explanation:
The confidence interval for population mean is given by:-
[tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where n= sample size, [tex]\overline{x}[/tex] = sample mean, z* = critical value for confidence level, [tex]\sigma[/tex]= standard deviation.
z* for 90% confidence level = 1.645
As per given, the required confidence interval is
[tex]1.87\pm (1.645)\dfrac{1.64}{\sqrt{1494}}\\\\\approx1.87\pm0.070\\\\=(1.87-0.07,\ 1.87+0.07)\\\\=(1.8, 1.94)[/tex]
Hence, We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.
1 +
+ '2+3+ - + = no +1
그
Answers
Answer:
t = 1/2n-6, nER
Step-by-step explanation:
Sam loaned $8,000 to his brother to make a down payment on a new home. Three
years later, he paid her back the $8,000 along with an interest of $900. If the
interest that was collected was simple interest, what was the annual interest rate?
Round answer to two decimal places.
I need help this one someone please I will Mark someone brainliest and if you post any links I will report you.
Answers
Answer:
$1,200 interest.
Step-by-step explanation:
To use the simple interest formula, I = Prt, we substitute in the values for variables that are given, ... Do you know that banks pay you to let them keep your money? ... Find the rate if a principal of $9,000 earned $1,755 interest in 3 years. ... Five years later, she paid him back the $8,000, plus $1,200 interest.
PLEAES HELP 80 POINTS with branily I really need help and I will be forever in det to the person that helped me Bec this Is 40% of my grade And please don't steal my points I need them in doing a give away soon. :)
On the coordinate plane shown below, points
G and I have coordinates (6,4) and (3,2) , respectively.
1)Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I
2) on a coordinate plane. Use complete sentences to describe the strategy.
Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
Use the distance formula and the coordinates of points
G and I
3) to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answers
Answer:
sorry wanted pionts
Step-by-step explanation:
umm sorry
Answer: :Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
different approaches of Pythagoras theorem - Brainly.in
brainly.in/question/10516214
13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
Carol is on the school track team. To prepare for upcoming race,he plans to run 217 miles total over the next 31 days.
Answers
Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients Standard Error t Stat p-value Intercept −0.81 0.36 −2.25 0.0293 x 2.94 1.20 2.45 0.0182 d1 −13.00 16.25 −0.80 0.4278 d2 5.52 1.50 3.68 0.0006 a. Compute yˆ for x = 262, d1 = 1, and d2 = 0; compute yˆ for x = 262, d1 = 0, and d2 = 1. (Round your answers to 2 decimal places.) yˆ x = 262, d1 = 1 and d2 = 0 x = 262, d1 = 0 and d2 = 1
Answers
Answer:
The answer is "789.03 and 806.16".
Step-by-step explanation:
[tex]y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)[/tex]
For point a:
Calculating the value for [tex]y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)[/tex]
[tex]= -0.45 + 801.36 -11.88 + 0\\\\= 789.03[/tex]
For point b:
Calculating the value of [tex]y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)[/tex]
[tex]= -0.45 + 801.36 -0 + 5.25\\\\= 806.16[/tex]
A circular clock with a circumference of 88cm is mounted on a wall.How much area of a wall didn't occupy
Answers
Answer:
616 cm^2
Step-by-step explanation:
Steps to derive the answer
1. we are going to first determine the radius from the circumference
2. we would calculate the area
Circumference of a circle = 2nr
n = 22/7
r = radius
88 = 2 x 22/7 x r
Divide both sides of the equation by 2 x 7/22
r = 14
Area of a circle = nr^2
3.14 x 14^2 = 616 cm^2
What is the area of kite QRST? If necessary, round to the nearest tenth.
Answers
Answer:
its 17 I have the same one I got my quiz and I saw that we had different answers and the only same one we had was 17
Step-by-step explanation:
