Answer:
[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]
Step-by-step explanation:
We can use basic trigonometric functions to find the closest height of the escalator.
Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.
Since all triangles have an angle sum of 180:
[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]Now we know that the triangle looks something like this.
/ | 41°
/ |
/ |
/ |
30 / |
/ |
/ |
/ |
/__________| 90°
49°
We need to find the length of the side between the 41 and 90° angle.
To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).
Let's set up an equation and solve with our calculator.
[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.
Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.
Hope this helped!
Answer:
The answer is B.
Step-by-step explanation:
B. 22.5 feet
PLEASE HELP PLEASEEEEE
Answer:
pi r^2 h/3, height =6, r=10, 100*6=600pi/3=200pi
The two figures are similar. Find the missing
dimension. Round to the nearest tenth if
necessary.
Answer:
4 in
Step-by-step explanation:
For the smaller figure, we can assume the other missing side is 2 because the area is 4, and area = length*width.
So the area of the larger figure is 4^2, or 16, so then we can assume the x or the two missing sides for the larger figure are 4 beacuse 4*4=16
this is algebra 1 please find the answer to this problem.
Answer:
3.) it is a quadratic
4.) it is an absolute function
Step-by-step explanation:
3 has an exponent
4 has absolute values in it
What is the value of x?
Answer:
i think it might be C
Step-by-step explanation:
very sorry if it's wrong
6. Ria purchased a car for
$14,775. Sales tax in her
county is 6.8%.
a. What is the total price of
the car including tax?
b. If she puts $2,100 down,
how much will she be
financing?
c. What will her monthly
payment be if the term of
the loan is 72 months with
an APR of 3.5%?
9514 1404 393
Answer:
a) $15,779.70
b) $13,679.70
c) $210.92
Step-by-step explanation:
a) When tax is added, the total cost is ...
total = price × (1 +tax rate)
total = $14,775 × 1.068 = $15,779.70
__
b) The amount financed is the difference between the total cost and the down payment.
financed = total - down35
financed = $15,779.70 -2100 = $13,679.70
__
c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.
A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P
A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92
The temperature at 5:00 am functions
Answer:
t2 = 37 °F
Step-by-step explanation:
t
1
=52
∘
F
g=3
∘
F/hr
Overview
2
3
4
5
6
7
ag
8
11
12
15
Question Progress
WA
Oilsee
Homework Progress -
26 / 28 Marks
D
S
Here is a list of numbers:
20 29 30 33 37 40
41
46
50
Use four of the numbers to make a sequence and describe the rule
for continuing your sequence.
I
equences - Term-to-Term Rule
Overview
0
Answer:
20 292 02 202 202
Step-by-step explanation:
Question 42 points)
Tell whether the triangles
are similar.
Yes or No
Answer:
yes
Step-by-step explanation:
Answer:
yes. 81+51+48 = 180
I hope this helps
The total population of a town is 128200 if 55% men are find the number of all the six pairs of corresponding
Pls help
Answer:
Here is the answer bro
SOMEONE PLEASE HELP ANSWER CORRECTLY !!!!! WILL MARK BRIANLIEST !!! HELPPPPPP MEEEEEEE !!!!!
Answer:
(-2,-3)
Step-by-step explanation:
A=(8,-5)
M=(3,-4)
The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.
B=(-2,-3)
Legends will get a heart ❤️ if they get this right
Answer:
3a. Angles q,r, and u are 105 degrees.
b. Angles p,s, and t are 75 degrees.
Step-by-step explanation:
Vertical angles, or angles that are across from each other, are congruent, meaning they are the same angle. When you shrink it, its angles are still the same.
Hope this helps:)
During hockey season, Pete scored goals on 15% of the shots he took. If he scored 75 goals, how many shots did he take?
Answer:
86 shots
Step-by-step explanation:
An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
62,118
Step-by-step explanation:
Let one angle = x
So, other angle = x +56
x +x +56 = 180 {Combine like terms}
2x + 5 6 = 180 {Subtract 56 form both sides}
2x = 180 - 56
2x = 124 {Divide both sides by 2}
x = 124/2
x = 62
Other angle = 62 + 56 = 118
Fill in the box to rewrite the expression 5x + 10
using the GCF.
5x + 10 = (
x) + (5 •
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
cm³
The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.
Answer:
40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]
Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 [tex]\frac{1}{2}[/tex] cm
width = 2 [tex]\frac{1}{2}[/tex] cm
height = 2 [tex]\frac{1}{2}[/tex] cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
6 [tex]\frac{1}{2}[/tex] = [tex]\frac{13}{2}[/tex]2 [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]Volume = [tex]\frac{13}{2}[/tex] x [tex]\frac{5}{2}[/tex] x [tex]\frac{5}{2}[/tex]
When you multiply everything together you should get [tex]\frac{325}{8}[/tex].
As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].
If a triangle has side lengths of 28,45, and 50, is the triangle acute,obtuse,or right?
Answer:
Acute i think
Step-by-step explanation:
Answer:
acute
Step-by-step explanation:
(a+b)²= ?
please tell the correct answer
Step-by-step explanation:
[tex](a + {b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line
with a slope of 5.7. See the figure below.
With 46 gallons of fuel in its tank, the airplane has a weight of 2162.2 pounds. What is the weight of the plane with 18 gallons of fuel in its tank?
Answer:
total plane weight with 82gallons fuel is 2424.80 lbs.
y = r + 1
4y = 40 + 4
Answer:
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
x
=
20
−
2
y
Answer:
r = 10
y = 11
Step-by-step explanation:
4y = 40 + 4
4(r + 1) = 40 + 4
4(r) + 4(1) = 40 + 4
4r + 4 = 40 + 4
4r + 4 = 44
4r + 4 - 4 = 44 - 4
4r = 40
4r ÷ 4 = 40 ÷ 4
r = 10
-----------------------------------------
y = r + 1
y = (10) + 1
y = 11
-----------------------------------------
4y = 40 + 4
4(11) = 40 + 4
4(11) = 44
44 = 44
Which systems of equations have infinite solutions
2x+y 31
+ y = 18
2x+y 10
изу +7
y 14 - 2x
0x3y12
y 13 - 2
1x 3.10
2x + y 14
X 13 - 2y
2x+y 17
Ox3y - 61
One number is 4 more than another, and their sum is 60. What is the smaller number?
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
x + y = 60 and -x + y = 4
x + y = 60 and x + y = 4
x + y = 60 and x - y = 4
Unlimited Attempts Remain
Answer:
Step-by-step explanation:
The system is
x+y=60 and x-y=4
If we get the difference between the two equations above we get
x+y-x+y=60-4
2y=56
y=28
Find the missing side (to 2dp)
Answer:
x = 17.74 cm
Step-by-step explanation:
tan 29 = x/32
0.5543 = x/32
x = 17.74 cm
Answer:
17.74 to 2 dp.
Step-by-step explanation:
tan 29 = x/32
x = 32 tan 29
= 17.7379.
You deposit $5,000 in a bank account that earns 4% simple interest. How much interest will you earn in 2 years?
Answer:
Step-by-step explanation:
pleaseeee Answer! Will Mark as Brainliest for the Best Answer
Answer:
[tex]p^{4} s^{5} y^{-7} z^{-1}[/tex]
Step-by-step explanation:
[tex]\frac{1}{y^{7} } = y^{-7}[/tex]
[tex]\frac{1}{z} = z^{-1}[/tex]
how long would a rock that weighs 2 pounds take to fall 99 feet
Answer:
When you are calculating the amount of mechanical energy used to exert force and move something, you are talking about work being done by a force at a distance. You can describe this in terms of foot-pounds. For example, you want to calculate the energy used to tighten a nut when using a wrench, or to lift a weight from the floor. Mechanical force takes place in time, so to describe the power requirement, you use foot-pounds per second.
Step-by-step explanation:
(6n – 7) + (8n + 2) = 23
Answer:100
Step-by-step explanation:
2!2
Answer:
n = 2
Step-by-step explanation:
(6n - 7) + (8n + 2) = 23 (Combine like terms)
14n - 5 = 23 (Add 5 from both sides)
14n = 28 (divided 14 from both sides)
n = 2
HELP!!!! At approximately what value of x do the two lines meet?
At value of x=4
What is coordinate of a point?
A pair of numbers that describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines are called coordinates. General form of coordinate is (x, y)
From the graph we can see , coordinates of that point where both the lines are intersecting is (4, -3)
Because x coordinate is = 4
and y coordinate is = -3
At the value of x=4, the two lines intersect each other
Learn more about coordinate system :
https://brainly.com/question/4726772?referrer=searchResults
#SPJ2
Big ideas chapter 9 answers
do you have a picture with it??
HELLP ILL GIVE BRAINLYEST Each side of a square classroom measures 23 feet. The teacher wants to put a border around the top of the classroom that costs $1.12 per foot. How much will the border cost?
Answer:
Step-by-step explanation:
4(23ft)($1.12/ft)=$103.04
help0000000000000000000
Answer:
The answer is going to be C.
Step-by-step explanation:
To help you in the future with any question like this one, you can always use Desmos Calculator.