Answer: The height of street sign = 15
Step-by-step explanation:
At the same time, the angle made by the light on each object is the same.
Pole and street sign both standing vertical to the ground.
So triangle made by both of them are similar
The sides of similar triangles are proportional,
[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]
Hence, the height of street sign = 15
I need to know what is the find m<ACD
Answer:
28
Step-by-step explanation:
if (AB and DC) parallels lines than the equation is alternate interior and therefore congruent to each other
Given the definitions of f(x) and g(x) below, find the value of f(g(-1)).
f(x) = x^2+ x + 10
g(x) -5x-3
Answer:
16
Step-by-step explanation:
Given the definitions of f(x) and g(x) below,
f(x) = x^2+ x + 10
g(x) = -5x-3
f(g(x)) = f(-5x-3)
f(-5x-3) = (-5x-3)²+((-5x-3)+10
f(-5x-3) = 25x²+30x+9-5x-3+10
f(-5x-3) = 25x² +25x+16
f(g(x)) = 25x² +25x+16
f(g(-1)) = 25(-1)² +25(-1)+16
f(g(-1)) = 25-25 + 16
f(g(-1)) = 16
Hence f(g(-1)) is 16
QUICK
Your bank offers 6 percent annual interest, compounded monthly. If you start with $500 in your account, how much will you have after 3 months?
Answer:$590
Step-by-step explanation:
500*6%=30
30*3=90
500+90=590
What is the sum of 10/12and 11/12? Make sure to show all work to receive full credit!
Answer:
[tex]1\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{10}{12} +\frac{11}{12} \\\\\frac{21}{12} \\\\1\frac{9}{12} \\\\1\frac{3}{4}[/tex]
A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.
Answer:
The area inside the running track is 248.5 m².
Step-by-step explanation:
The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:
[tex] A_{t} = A_{r} + 2A_{c} [/tex]
[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]
Where:
x: is one side of the rectangle = 30 m
r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m
Hence, the total area is:
[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]
Therefore, the area inside the running track is 248.5 m².
I hope it helps you!
HELPPPP PLSSS I WILL MARK BRAINLYEST
Answer:
B.
Step-by-step explanation:
hope this helps!!
can I get a solution
[tex] \sqrt{x - 1} - 3 = 0[/tex]
is this solution correct or not can you please give me the following steps for this solution by solving for x if possible
Answer:
I don't think it is correct.
Step-by-step explanation:
Square root just means half of a number. If you square this number, it just goes back to it's original form, just without the square root sign. But however, You must square the 10 at the end of the equation as well. This solution is not correct.
HELP PLZ I'LL MARK BRAINLIEST!
Answer:
138.23
Step-by-step explanation:
the Question is on the image
i need to know what -2(3x)+56
Answer:
-6x + 56
Step-by-step explanation:
-2(3x) + 56
-6x + 56
Please help if you would want brianleist!! :D ^^
Answer:
384
Step-by-step explanation:
v= L x W x H
v= 4 x 2 x 1.2
v= 9.6
9.6 x 40 = 384
lmk if you have any questions :)
Answer:
A
Step-By-Step Explanation:
Step One: The first step is to figure out the volume of one. The volume formula is length times width times height. We have all the dimensions so: 4 times 2 times 1.2= 9.6.
Step Two: Now, we just mutiply the number by 40 since there are 40 slabs: 384.
NEED HELP!! NO Absurd answers!
Use technology or a z-score table to answer the question.
The normal admission price to see a movie at different theaters is normally distributed with a mean of $11.80 and a standard deviation of $1.15.
Approximately what percent of theaters charge more than $10 to see the movie?
5.8%
19.8%
80.2%
94.2%
Answer:
Approximately 94% of theaters charge more than $10 to see the movie.
Step-by-step explanation:
Use a calculator with distribution functions such as normalcdf(
Here we have normalcdf(10,1000,11.80, 1.15) = 0.941
Approximately 94% of theaters charge more than $10 to see the movie. This agrees with the last answer choice.
A set of data may have more than one mode.
(1 Point)
True
False
Gavin divided his notebook into 8 equal parts. He plans to use 3 parts to take notes for math and 2 parts for reading. He has school from 8:30 A.M to 3:30 P.M. what fraction of his notebook does he have left?
Pls help I well mark you a brainliest...
Answer:
Gavin has 3 parts left.
Step-by-step explanation:
8-3-2=3. The time was not important.
Find the area of the larger sector.
Round to the nearest tenth.
2559
13.4 miles
Area = [ ? ]miles2
Enter
Step-by-step explanation:
the formula for the area of a sector is
(x°(r^2)π)/360
with x being the angle
r bring the radius of the circle
(255(13.4)^2π)/360
399.6
Hope that helps :)
Answer:
The answer is 399.6 not 399.4. I put 399.6 as my answer on acellus and I got it right.
You roll 2 six sided dice. What are the odds of rolling 2 sixes?
A. 1/6
B. 1/36
C. 1/18
D. 1/12
What is the percent of 0.875?
Answer:
87.5%
Step-by-step explanation:
Just move the decimal place twice to the right.
Answer:
87.5%
Step-by-step explanation:
0.875× 100= 87.5%
5potatos + 56 potatos
Answer:
61
Step-by-step explanation:
Donna made $357 for 17 hours of work. At the same rate, how many hours would she have to work to make $189?
Answer:
9 hours.
Step-by-step explanation:
$357 / 17 = $21. ($21 per hour.)
$189/$21 = 9. BOOM
What is the length of the legs of the triangle if the hypotenuse of an isosceles right triangle is (sqrt)23 feet?
4 feet
8 feet
16 feet
16.2 feet
The diameter of a circle is 8 inches. What is the area?
d=8 in
Give the exact answer in simplest form.
Step-by-step explanation:
Radius = Half of Diameter
r = 8/2
= 4 in.
Area of Circle =
[tex]\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi \: {in}^{2} [/tex]
Solve the inequality for d
df+9h>2
Answer:
d=2_f - 9h_f
Step-by-step explanation:
es la segunda opción
Please help.
Is algebra.
Answer:
question 3= c question 4= a
Step-by-step explanation:
The area of the base is 7 cm. What is the surface area of the pyramid?
Answer: 34.5
Step-by-step explanation:
(Base · Height) ÷ 2 → (2 · 4.5) ÷ 2 = 5.5
5.5 · 5 = 27.5
27.5 + 7 = 34.5
Your friend Sam wants to paint her room. She wants to paint the ceiling
white and the four walls purple.
You are helping Sam determine the cost and the amount of time needed to
paint her room.
The room is shaped like a rectangular prism with a height of 8 feet, length of
12 feet, and width of 10 feet as shown.
one hundred and twenty approximately
Use the diagram to identify 4 collinear points
Answer:
the answer is the (L,N,K,O)
HELP THIS IS DUE IN LIKE 20 MINS
Answer:
I cant see the full question enough to help you. Its showing like part of the question.
Answer:
4x+y=-7
Step-by-step explanation:
another, these are tricky to me.
Answer:
It would be D ^^
Step-by-step explanation:
I learned this 2 years ago lol <3
The base angles of an isosceles trapezoid are__________?
Answer:
Base angles of an isosceles triangle are always congruent.
A store purchases a shirt for $16.89. The store marks up the shirt by 20%. Right now, they are having a sale for 40% off any item. What is the sale price with a 7.25% tax?
Answer:
$13.04
Step-by-step explanation:
First, multiply 16.89 by 1.2, 0.6, and 1.0725. You should get a weird number on your calculator saying 13.042458, but just round 2 to the 4 ( 4 stays the same) and remove all the other numbers to get $13.04