A construction company is hired to build a wheelchair ramp for a restaurant. The ramp connects the handicap parking space (point A) to the top of the porch of the restaurant (point B) that is 4.5 feet higher than the ground level below it (point C making a right triangle ABC. The building regulations require the ramp angle to be 8 degrees, meaning angle A must be 8 degrees.
1. On a sheet of paper, draw the right triangle of the ramp and label the sides and angle A. Indicate which side is 4.5 ft.
2. Use the right triangle trigonometry and calculate the length of the ramp (sid AB). Show your work on the paper.
Answers
Answer:
1. diagram in the attachment
2. AB = 32.3 ft
Step-by-step explanation:
2. from the diagram:
[tex]sin \theta = \frac{opposite}{hypotenuse}\\sin (8) = \frac{4.5}{AB} \\AB = \frac{4.5}{sin(8)} \\AB = \frac{4.5}{0.1392} \\AB = 32.33ft[/tex]
Related Questions
Derek is solving the problem below for this whole 712÷1118 is equal to
Answers
Answer:
[tex]\frac{356}{559}[/tex]
I hope this helps!
A home builder wants 5 acres of land split into 13 equal sections. Three of these expressions give the number of acres of land each home will have. Which one does NOT? Choices:
A: 13 divided by 5
B: 5/13
C: 1/13 of 5
D: 5 divided by 13
Answers
Answer:
b 5/13
Step-by-step explanation:
What is the coefficient of determination for Data Set B? Full Data Set: Data Set A Data Set B Data Set C x y x y x y 3.6 8.9 3.1 8.9 2.8 8.9 8.3 15.0 9.4 15.0 8.1 15.0 0.5 4.8 1.2 4.8 3.0 4.8 1.4 6.0 1.0 6.0 8.3 6.0 8.2 14.9 9.0 14.9 8.2 14.9 5.9 11.9 5.0 11.9 1.4 11.9 4.3 9.8 3.4 9.8 1.0 9.8 8.3 15.0 7.4 15.0 7.9 15.0 0.3 4.7 0.1 4.7 5.9 4.7 6.8 13.0 7.5 13.0 5.0 13.0 (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) The coefficient of determination for Data Set B is nothing%. (Type an integer or decimal rounded to the
Answers
Answer: the coefficient determination of dataset B is 1.00
Step-by-step explanation:
Given Dataset B
x y xy x² y²
3.1 8.9 27.59 9.61 79.21
9.4 15.0 141 88.36 225
1.2 4.8 5.76 1.44 23.04
1 6 6 1 36
9 14.9 134.1 81 222.01
5 11.9 59.5 25 141.61
3.4 9.8 33.32 11.69 96.04
7.4 15.0 111 54.76 225
0.1 4.7 0.47 0.01 22.09
7.5 13 97.5 56.25 169
∑x=47.1, ∑y=104, ∑xy=616.24, ∑x²=329.12, ∑y²=1239
Now to find the coefficient determination ( r² )
we need to first find r
r = { n(∑xy) - (∑x)(∑y) } / { √( [n∑x² - (∑x)²] [n∑y² - (∑y)²] )
so we substitute
r = { 10(616.24) - (47.1)(104)} / { √( [10(329.12) - (47.1)²] [10(1239) - (104)²] )
r = 1264 / 1299.45
r = 0.97
now the coefficient determination is ( r² )
so coefficient determination = r²
= (0.97)²
= 0.9409 ≈ 1.00 (integer)
Therefore the coefficient determination of dataset B is 1.00
PLEASE HELPPPP
A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?
a.
21,926,800
b.
2,826,800
c.
16,273,200
d.
1,790,600
Answers
Answer:
b
Step-by-step explanation:
Find mGJI
A. 15
B. 75
C. 100
D. 105
Answers
Answer: B
Step-by-step explanation:
2. Before you open a checking account, why might you want to figure out how many
in-network ATMs are near your home or school?
Answers
Answer:
because if there are ATMs that arent in network, then you wont have coverage for what you pay for
1. -3=
IN
2. 27 - 5.0 = -13
3. 4x - 5 = 27
4. ; +5=12
5.3(2x + 3) + 3 = -2 (2-6)
6. 102- 4 (1+4x) = -4(2-3)
Answers
Answer:
3. 4x-5=27
4x=27+5
4x=32
x=8
5. 3(2x+3)+3=-2(2-6)
(6x+9)+3=-4+12
6x+9+3=8
6x+12=8
6x=8-12
6x=-4
x=-4/6
x=-2/3
6. 102-4(1+4x)=-4(2-3)
102-4-16x=-8+12
98-16x=4
-16x=4-98
-16x=94
x=94/-16
x=6
2x + y = 5
4x - 2y = 6
Answers
Answer:
Assuming you want to solve for x,
x = 2
Step-by-step explanation:
2x + y = 5
Solve for y
y = 5 - 2x
4x - 2y = 6
Solve for y
y = -3 + 2x
Since both these equations equal y, they must equal each other.
Make an equation for these to equal each other.
Then solve for x
5 - 2x = -3 + 2x
+ 2x + 2x Add
5 = - 3 + 4x
+ 3 +3 Add
8 = 4x
/4 /4 Divide
2 = x
What is the exponential form of 100000
Answers
Answer:
10^4
Step-by-step explanation:
Name a pair of adjacent angles in the diagram above.
A. 1 and 2
B. 7 and 9
C. 5 and 6
D. 7 and 8
Answers
Adjacent angles has a common side and a common vertex
Answer:
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. What is the y intercept of this quadratic function f(x)=-x*2+10x-22
Answers
Answer:
Y-intercept is (0, -22)
Step-by-step explanation:
Answer:
The Y-Intercept is -22
Step-by-step explanation:
If positive integer number n has exactly 8 divisors, what is the least number of divisors can n^2 have?
Answers
Answer:
The simpler case is the number:
n = a^7, where a is prime.
We use this so we avoid having cross numbers by multipliying different prime numbers. because for example lets compare:
2^2 = 4 has 3 divisors, 4, 2 and 1.
(4*4) = 16 has the divisors: 1, 2, 4, 8 and 16. (5 divisors).
Now let's mix primes:
2*3 = 6 has 3 divisors, 3, 2 and 1.
6*6 = 36
(3*2*1)*(3*2*1) = 36
then the divisors are:
3*3, 3*2, 3*1, 2*2, 2*1, 1*1, 3*2*2, ..., etc.
You can clearly see that this has a lot more divisors than the previous case.
Then returning to the answer:
a^7 can be divided by a, a^2, a^3, ..., and by itself, a^7 (and 1, so we have exactly 8 divisors).
Now, we can write:
n^2 = (a^7)^2 = (a^(2*7)) = a^14.
By the same logic that was used above, a^14 has 14 + 1 divisors.
Then the smallest number of divisors possible is 15.
-1 3/5÷40 please answer quick!
Answers
Answer: -0.04
Step-by-step explanation:
A father is ten times as old as his daughter. In 5 years he will be just five times as old as she will be. How old are they now?
Answers
Answer:
The daughter is 4, the father is 40
Step-by-step explanation:
If the daughter is 4 then the father is 40, 10 *4 = 40
in five years the daughter will be 9, 9 * 5 = 45
Answer:
The daughter is 4, the father is 40
Step-by-step explanation:
If the daughter is 4 then the father is 40, 10 *4 = 40
in five years the daughter will be 9, 9 * 5 = 45
soni has 196 pencils. if she puts equal amounts of pencils into eight boxes,she has four pencils left.How many pencils does she put in the box?
which strategy could help solve this world problem?
Answers
you would take 196 and minus it by 4 which is 192, then divide 192 by 8, which will give you 24 then 4 left over pencils
Answer:
The answer is D) If x represents the number of pencils per box, solve the equation 8x + 4 = 196.
Step-by-step explanation:
A-What fraction is shaded
B-what percentage is shaded
Answers
Answer: A) 2/3 is shaded. B) 66.67% is shaded.
Step-by-step explanation:
The whole big triangle holds 9 total triangles in it.
Out of the 9 triangles 6 of them are shaded so the fraction will be 6/9 which reduces to 2/3.
Now convert 2/3 to a decimal to find what percentage is shaded.
2/3 = 0.6666...
0.6666 * 100 = 66.666..
66.666 as a percent is 66.67%
Find the midpoint of XY, with X(-5,7) and Y (-7,5)
Answers
Answer:
The answer is
( - 6 , 6)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
X(-5,7) and Y (-7,5)
The midpoint is
[tex]M = ( \frac{ - 5 - 7}{2} \: , \: \frac{7 + 5}{2} ) \\ = ( - \frac{12}{2} \: , \: \frac{12}{2} )[/tex]
We have the final answer as
( - 6 , 6)Hope this helps you
4. Mr. Ledic works in a coffee shop approximately nine miles from her apartment. She
bikes every day from her apartment to the coffee shop and then back to her
apartment in the evening. On her way to work, she always stops halfway through to
meet her best friend at a park. If the distance from Mr. Ledic's apartment to the
park is (5x + 6) miles and the trip from the park to the coffee shop is (23x - 8) miles
long, then what is the value of x?
Answers
Answer: 0.3929
Step-by-step explanation:
From the question, we are going to assume that the apartment, park and shop lies on a straight line.
We've been told that Mr. Ledic's apartment to the park is (5x + 6) miles and the trip from the park to the coffee shop is (23x - 8) miles while the coffee shop is nine miles from her apartment. This vsn be written as:
(5x+6)+(23x-8) = 9
28x+6-8=9
28x-2=9
28x=9+2
28x=11
x=11/28
x = 0.3929
Therefore, the value of x is 0.3929
A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level? I'll give brainliest if I get it right!
Answers
Answer:
12-39=x
Step-by-step explanation:
Whats the answer I need help now pls
Answers
Answer:b is -6
Step-by-step
5 3/4 divided by 1 1/2
Answers
Answer- 46/12 sipplify you get 23/6= 3 5/6
Answer:
3 5/6
Step-by-step explanation:
23/4 divided by 3/2
= 23 * 2
4 * 3
= 46/12 simplify by doing long divison.
= 3 5/6
Hope this helps!
The pH of a substance added to a citrate buffer, y, depending on the ratio of citric acid to sodium citrate, x, can be modeled using the equation y = 6.4 – log x. If the pH of the substance is 6.5, what is the ratio of citric acid to sodium citrate?
xxxxA.0.79
B. 1.26
C. 5.59
D.7.20
It's A
Answers
Answer:
Yes it's A. 0.79
Step-by-step explanation:
You plug in 6.5 into the y-value since it asks to find the ratio,x, if the pHis 6.5. Then you can solve using a calculator to get 0.79432, or 0.79
Answer:
A. 0.79
Step-by-step explanation:
edge 2020
HELP!! WILL MARK BRAINLIEST!! SEE ATTACHMENT AND ANSWER THEM ALL!
Answers
Answer:
1.) yes
2.)yes
3.)no
4.)yes
5.)no
Step-by-step explanation:
Answer: yes, yes, no, yes, no
Find the missing value. Hint: Use the number line to find the missing value. -9-+ blank = -3
Answers
Answer:
-9 + 6 = -3
Step-by-step explanation
A negative number plus a positive number gets a higher negative number. For example, -6 + 1 = -5. Since the positive number is more than the negative number, think of it like subtraction. 6 - 1 = 5, so -6 + 1 = -5. So the answer to -9 + 6 is -3.
Solve for k.
(2k + 2)=(k + 5)
Answers
Answer:
k=3
Step-by-step explanation:
Move k over to the 2k side and 2 to the five 5-2=3 and 2k-k=k
k+2=5
k=3
Solving
2k+2=k+5
2k-k=5-2
K=3
3. A square has vertices (0,0),(5,2).(3,7), and (-2,5). Which of these statements is true?
A. The square's side length is 5.
B. The square's side length is between 5 and 6.
C. The square's side length is between 6 and 7.
D. The square's side length is 7
Answers
Answer:
B. The square's side length is between 5 and 6.
Step-by-step explanation:
We are given a square with vertices
A(0,0), B(5,2), C(3,7), and D (-2,5)
We solve using the Formula
√(x2 - x1)² + (y2 - y1)²
Where we have (x1, y1) and (x2, y2)
For AB
A(0,0), B(5,2)
= √(5 -0)² + (2 - 0)²
= √5² + 2²
= √25 + 4
= √29
= 5.3851648071
For BC
B(5,2), C(3,7),
= √(3 - 5)² + (7 - 2)²
= √-2² + 5²
= √4 + 25
= √29
= 5.3851648071
For A D
A(0,0),D (-2,5)
√(-2- 0)² + (5 - 0)²
= √-2² + 5²
= √4 + 25
= √29
= √5.3851648071
For CD
C(3,7), D (-2,5)
√(-2 - 3)² + (5 - 7)²
= √-5² + -2²
= √25 + 4
= √29
= 5.3851648071
The lengths of the sides of the square is equal to each other.
Therefore, the statement that is true about this square is option
B. The square's side length is between 5 and 6.
Nina owns a coffee shop. Nina has 992.4 kg of coffee.
She needs to put the coffee into bags that each hold 0.6
kg.
How many bags will be filled?
Answers
Answer:
1654
Step-by-step explanation:
divide 992.4 by 0.6
Answer:
1654
Step-by-step explanation:
divide 992.4 / 0.6
Marks age next year will be three times jims age from 2 years ago. If the sum of their ages now is 21, how old are they? plz help, I am gonna get killed by my parents.
Answers
Answer: Mark is 14 and Jim is 7.
Step-by-step explanation: It says that next year Mark will be threee times older than Jim was 2 years ago.
The wrk is:
7-2=5(Jims age 2 years ago)
5x3=15
15-1=14(you subtract 1 because Mark's current age is 14 because it says that next year it will be 3 times Jim's)
The Classic Hotel provides room service for its guests. The process for room service begins with a room service manager who takes orders of food and beverages by phone and transmits them to the kitchen and the bar at an average of 2 minutes per order. Each food order is prepared in an average of 15 minutes in the kitchen. There are five equally competent chefs in the kitchen, each of whom prepares complete orders, working in parallel. The one bartender takes 3 minutes to fill each beverage order, and works in parallel with the kitchen. When the kitchen and bar order are both ready, a waiter takes them to the room. There are eight waiters to provide the service, and each order takes 20 minutes for a waiter to put together and deliver. What is the capacity rate of each activity
Answers
An investment that you bought for________ and sold for________ made a profit.
A. $700; $600
B. $600; $500
C. $700; $500
D. $600; $700
Answers
Answer:
D: $600;$700
Step-by-step explanation:
If you made a profit by selling it then you got more money in return.
Could I please have BRAINLIEST.
