A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?
Answers
Answer:
17.5 meters
Step-by-step explanation
I included an illustration of what they are asking for.
Notice, since the light of the sun is coming from the same place, the shadow angles relative to the ground, X and Z, will be the same. So the triangles formed are similarUse SOH CAH TOA to find the angle Z This just means when you have an angle in a right triangle, in order to know whether to use Cosine, Sine or Tangent, look at what sides you haveWe have the sides opposite (O) and adjacent (A) to angle Z, so we tangent (T)[tex]\tan (Z)=\frac{O}{A}\\\tan (Z)=\frac{10m}{8m}=1.25[/tex] Now since angle Z equals X, they have the same tangent valueSo we can use that to find the building height, which it the opposite (O)Don't forget to use the new adjacent 14m[tex]\tan (X)=\frac{O}{A}\\1.25=\frac{O}{14m}\\O=(1.25)(14m)\\O=17.5m[/tex]
Related Questions
my teacher didn't explain well so I need help
Answers
Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 40 feet and its width is 25 feet. Suppose wood flooring costs 11$ for each square foot. How much will the wood flooring cost for the floor?
Answers
Answer:
$11,000Step-by-step explanation:
Step one:
given data
the dimension of the gym is
length = 40ft
width= 25ft
Area= 40*25
Area= 1000ft^2
Step two:
if 1ft^2 will cost $11
then 1000ft^2 will cost x
cross multiply
x=1000*11
x=$11,000
The cost for the floor is $11,000
Is the relation a function? If it is a function state the domain and range of not circle the part the causes it to not be a function (1,-2),(-1,2),(-2,4),(1,3)
Answers
Answer:
No it is not a function because it does not pass the Vertical Line Test. The points that make it not a function are (1,3) and (1,-2) since they are both on the same x-coordinate.
Step-by-step explanation:
I need help filling this table can you guys help me
Answers
Answer:
3, 5, then 7 (From top to bottom)
Step-by-step explanation:
Well, if the rule is y = x + 3, then we just have to plug in the x values. Add 3 to each x value.
What is the 6th term in the geometric sequence described by this explicit formula? an= 3•4^(n-1)
Answers
Answer: 3072
Step-by-step explanation:
i just got it right
Answer:
B)3072
Step-by-step explanation:
an= 3•4^(n-1)
n here represent the term and here need from you 6th term
So: replace n with 6
a6= 3•4^(6-1)
=3x4^5=
hope this helps
Find w (the measure of the exterior angle).
Answers
Answer:
136
Step-by-step explanation:
the relationship between the elapsed time in minutes since the stew was removed from the stove and temperature of the stew measured in c is modeled by the following function
Answers
You well just have to subtract
Using the equation ŷ = 5.4 + 1.7x, what is the predicted value if x is 1.2?
3.36
−3.36
7.44
−7.44
−2.47
Answers
Answer:
Using the equation ŷ = 5.4 + 1.7x, we can say that if x is 1.2, the predicted value will be 7.44.
Step-by-step explanation:
y=5.4+1.7(1.2)
Multiply 1.7 and 1.2 to get 2.04.
y=5.4+2.04
Add 5.4 and 2.04 to get 7.44.
y=7.44
There you go!
(Sources cited from Microsoft Math Solver.)
8.
What is the area of a circle whose diameter is 10?
A.10 pi
B.20 pi
C.25 pi
D. 100 pi
Answers
Answer:
25 pi
Step-by-step explanation:
area of circle = pi (r)^2
radius = 10/2 = 5
5×5 = 25
25 pi
Answer:
C
Step-by-step explanation:
The formula is pi(r＾2)
r=radius
=10/2
A theater has group prices for tickets. The first ticket will cost $10 while each additional ticket costs $8. Which rule models the situation?
a. an= 10 + 8 (n - 1)
b. an-1= 10 + 8 (n - 1)
c. an= 18 (n - 1)
d. an-1= 18 (n - 1)
Answers
Answer: Choice A.
an = 10 + 8(n - 1)
=================================================
Explanation:
a1 = 10 is the first term
The common difference is d = 8 since we add 8 to each previous price to get the next price.
We have the arithmetic sequence with nth term of
an = a1 + d*(n-1)
an = 10 + 8(n - 1)
If you wanted, you could simplify that to get
an = 10 + 8n - 8
an = 8n + 2
Order the functions from narrowest graph to widest graph.
11. h(x) = 3x2
12. g(x)= -
13. f(x)= x2
14. k(x) = -2x
guys please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The order of functions from narrowest graph to widest graph is 3x², -x, x² and 2x. A graph is a structure that amounts to a set of items.
What is graph?A graph is a structure that amounts to a set of items in which some combinations of the objects are already in some manner "connected" in discrete mathematics, more specifically within graph theory.
The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge. A graph is typically shown diagrammatically as a collection of dots as well as circles representing the vertices and lines or curves representing the edges. The order of functions from narrowest graph to widest graph is 3x², -x, x² and 2x.
Therefore, the order of functions from narrowest graph to widest graph is 3x², -x, x² and 2x.
To know more about graph, here:
https://brainly.com/question/29183673
#SPJ7
100 POINTS!!!!
how do you fall asleep in 1 second?
Answers
Answer:
S*i*I*E
Sorry don't know.
But you lying, its only 50 points!!
Answer:
Impossible
Step-by-step explanation:
think logically, your going to need a longer time scale
lets say 1 minute
let your lips part slightly.
Then close your lips and inhale silently for 4 seconds.
Hold your breath for 7 seconds. You can also count till 7 in your head.
Exhale with a whoosh sound for 8 seconds.
Avoid being too alert.
Keep doing this process mindlessly.
do this activity at least 4-5 times.
a scalene triangle can be equilateral
true or false
Answers
A scalene triangle have all 3 sides at different lengths, they aren’t equal
Answer:
false
Step-by-step explanation:
a scalene triangle has all different side lengths, so it's impossible for it to be equilateral
Use the table that shows popular sports car
colors in North America.
a. How many times more respondents chose silver than red?
Round to the nearest tenth if necessary.
Answers
the answer is 2.2 just divide
What is the rate
$150/25
written as a unit rate?
A.
$30/5
B.
$6/1
C.
$4/1
D.
$125/2
Answers
Answer:
B
Step-by-step explan
150 divide by 25
25 divide by 25
What is the Y-Intercept of the graph?
A. (0,3)
B. (0,-1)
C. (0,-3)
D. (3,0)
Answers
In 5.5 minutes you are able to type 297 words. What is your rate in words per minutes?
Answers
Answer:
54 words typed in one minute.
Step-by-step explanation:
1. If you divide 297 by 5.5 you will get your answer
ANSWER: 54 words/ 1 minute
If the base number is 2/3 and the power is 5.
answer must be a fraction
please explain i need this ASAP!!
WILL GIVE BRAINIEST
Answers
Answer:
32/243
Step-by-step explanation:
do 2 to the 5th and put it above 3 to the 5th
What does the knife and blood symbolize on the sidewalk bleeding??
Please I'm doing this for a Brainly stranger
Try your best and answer
If not don't take points greedily
Answers
Answer:
For you it might just be a jacket, but for Andy it was originally a symbol of strength. In the story Andy talked about how proud he was to have been accepted into the gang called, “The Royals”. When he was accepted into the gang, he was given a purple silk jacket, that said “Royals” on it.
Answer:
TQM ARI :3
Step-by-step explanation:
If Sally has 2 apples a Jeremy has 9 apples how did they get 24?
Answers
what is the y-intercept
Answers
Answer:
The bottom one
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
because the value of x is o so if you have (0,5) & (4, 5) the y intercept will be 0
Larry was 56 inches after his 6th grade year. After his 7th grade year he was 72 inches. What percent change in height happened to Larry? A. 22.22% B. 28.57% C. 77.77% D. 1.28%
Answers
Answer:
B. 28.57%Step-by-step explanation:
Change in height:
72 - 56 = 16Percent of change:
16/56*100% = 28.57%Correct choice is B
Colin buys a tv for £530. It depreciates at a rate of 3% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.
Answers
Answer: In 5 years it will be worth £455
Step-by-step explanation:
Step 1
Given
The cost of the T.V. for Colin = £530.
The rate of depreciation per year = 3%
Time/ period = 5 years
Formulae to be used
F = P X (1 - r) ^ n
where
F = the future value after depreciation
P = the present value.
r =the interest rate per time period
n = the time/ periods
Step 2--- SOLVING
F = P X (1- r) ^ n
F= 530 x (1-0.03) ^ 5
=530 x 0.858734
=£455.129
Rounding up to the nearest penny where appropriate = £455
As the number of trials increase in experimental probability, the experimental probability will get farther away from the theoretical probability.
True
False
Answers
Explanation:
The more trials you do, the closer the experimental probability will get to the theoretical probability.
For example, if you flip a coin 1000 times, then you'll probably get around 500 heads or so. Maybe you could get 475 heads and 525 tails. This leads to an experimental probability of 475/100 = 0.475 of getting heads. If you flip a coin 10,000 times, then you are likely to have the experimental probability of getting heads move closer to 0.500
Answer:
B
Step-by-step explanation:
HURRY PLS What is the ratio of cookies with a bite out of them to cookies without a bite taken? *
Answers
Answer
1/4
Step-by-step explanation:
Please help me out!
Lorenzo is building a bookshelf. He wants the bookshelf to be 1.5 feet taller than 1/4 the height of his plant stand. If p equals the height of Lorenzo's plant stand, which expression represents the height of the bookshelf?
A. 4p + 1.5
B. 1/4 + 1.5 p
C. p/4 + 1.5
D. 4/p + 1.5
Answers
Answer:
C
Step-by-step explanation:
1/4p(1/4of the plant stand) +1.5(1.5f taller than)
46.2 is 77% of ______.
Answers
Answer:
60
Step-by-step explanation:
A rectangle has an area of 3/2 square yards,if the width of the rectangle is 1/2 yard,what is the length of the rectangle,in yards?
Answers
Answer:
3
Step-by-step explanation:
1/2 x 3 = 3/2
heyy i need help please help mee thank U
Answers
Answer:
click the text you will see the answer
Step-by-step explanation:
I hope it's helpful for u
you should mark them brainliest now
I need to find 7/8 of $72
Answers
Answer:
63
Step-by-step explanation:
7/8 x 72 = 63