Answer:
40 m
Step-by-step explanation:
8/12=x/60
x=(8*60)/12
x=40
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the building when it cast a shadow of 60 meters is 40 m.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the height of the pole is 8m, while the shadow cast by the pole is 12 m. If we use the ratio of trigonometry then the height of the building can be written as,
[tex]\rm Tan(\theta)= \dfrac{\text{Height of the pole}}{\text{Shadow of the pole}}= \dfrac{\text{Height of the building}}{\text{Shadow of the pole}}[/tex]
[tex]\dfrac{8}{12}= \dfrac{\text{Height of the building}}{\text{60}}\\\\\dfrac{8 \times 60}{12}= {\text{Height of the building}}\\\\\text{Height of the building}=40\ \rm m[/tex]
Hence, the height of the building when it cast a shadow of 60 meters is 40 m.
Learn more about Tangent (Tanθ):
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For 1-4, a line has the points (-2,-9),
(3, 1), and (6, 7). Find the polnts for the
translation described.
1. 6 units to the left
2. 3 units down
3. 5 units to the right
4 2 units up
Answer:
3 units down
Step-by-step explanation:
got it right on edg
HELP! plz I can't find the aswer
the figures are similar find X
Answer:
X=14.4Step-by-step explanation:
As triangles are similar
The ratio of the sides must be equal
so..
[tex]\frac{x}{8} =\frac{9}{5}[/tex]
[tex]x=\frac{9*8}{5}[/tex]
[tex]x=14.4[/tex]
hope it helps...
have a great day!!
Write 3.41 x 106 in standard form
(24 points)
Answer:
3,410,000
Step-by-step explanation:
3.41 * 10^6 = 3.41 * 1,000,000 = 3,410,000
Answer:
3,410,000
plz mark me as brainliest
Yeah, I need help again. IM NOT GOOD AT MATH
Answer:
21
Step-by-step explanation:
7 * 3 =21
Ben wants to join a fitness club. The fitness club charges an initial membership fee of $49.50 and a monthly fee of 17.50. Part B ben's company will pay $300.00 each year toward his fitness club membership. Ben thinks he will have to pay $40.50 for his membership his first year. Is he correct?
Answer:
no he is not correct
Step-by-step explanation:
B.
The number of flowers in Lito's garden is represented as follows.
Gumamela
Orchid
Answer:
5 :12 ; what is the ratio of the number of gumamela to the total number of flowers
5 : 7 ; what is the ratio of the number of gumamela to the number of orchids
7:5 ; what is the ratio of the number of orchids to the number of gumamela
12 : 5 ; what is the ratio of the total number of flowers to the number of gumamela
12 : 7 ; what is the ratio of the total number of flowers to the number of orchid
Step-by-step explanation:
Ratios of a to b ;is written as a : b
Ratio of b to a is written as b : a
The ratio of a to the sum of a and b equals ;
a : (a + b)
Number of orchids = 7
Number of gumamela = 5
Total number of flowers = 7 + 5 = 12
Ratio two quantities are compared. A number of times a number contains another. It makes value comparisons. When two components of the same unit are compared, it is possible to determine how much of one number is represented in the other. The quotient of two mathematical equations is shown.
5:12 And what's the proportion from gumamela the total flowers in the garden?7:12 And what's the proportion of orchids in the field to the total number of flowers?5:7 And what's the number of gumamela to orchids ratio?7:5 And what's the orchid-to-gumamela ratio?12:12 What is the proportion of gumamela or orchids in the field to the overall flowers?Learn more:
brainly.com/question/22730473
solve for x pleaseeee!
Answer:
x=-20
Step-by-step explanation:
3x+178=6x+238
-3x=60
x=-20
to know if two figures are _______ you have to analyze they have to have the same shape but not the same size
Answer:
Similar!
Step-by-step explanation:
Hope this helps!
Ž + 7
+7 = 12
Help me with this
And a step by step
*
2) Does the following table show a function?
Answer:
no it does not show a fucntion
Help me please I will give u a lot of points answer quick
Answer:
In the first box: 24a
In the second box: +12
In the third box: 24a + 12
Step-by-step explanation:
For the first box, you're multiplying 3 times 8a. Since we don't know a, we leave it alone and just multiply the number next to it. So 3 x 8 = 24...3 x 8a = 24a
3 times a positive 4 is a positive 12 (this is kind of a weird way to write it, but area models are weird, imo.
It's just trying to show that you multiply the 3 by every part of what's inside the parentheses.
If x + y ≥ a, x - y ≤ -1, and the minimum value of z = x + ay = 7, what is a?
Answer:
A = -2.3
Step-by-step explanation:
Which is NOT true?
A 11 = 11
B 11 = 18 - 7
C 11 + 5 = 15 + 11
D 11 + 3 = 6 + 8
Answer:
C
Step-by-step explanation:
11+5=15
15+11=26
15 does not equal 26
Answer:C 11 + 5 = 15 + 11
Step-by-step explanation:
This is the only one that is false because the left side of the equation is equal to 16 and the right side of the equation is equal to 26
Find the surface area of a cylinder with a height of 4 yd and a base radius of 3 yd.
Answer:
131.95yd squared
Step-by-step explanation:
A=2πrh+ 2 r(2)=2*π*3*4+2*π*3(2)~131.94689yd(2)
Callum is walking 270 miles to raise money for cancer research. He plans to walk 1/9 of the distance each day. After 7 days, how much farther does he have to walk to reach his goal?
A rectangle with area 36 square inches has a length that is 3 less than 3 times the width. Find the length and the width of the rectangle.
Answer:
length = 9 in ; width = 4 in
Step-by-step explanation:
1) formula of the area of a rectangle
A = base x width
2) write an equation with the given informations:
w x (3w-3) = 36
3) solve the equation
- multiply W by 3w and -3
3w^2 -3w = 36
- divide the two members by 3
w^2 - w = 12
- add up -12 at the two members
w^2-w -12 = 12 -12
w^2 - w - 12 = 0
- find two numbers whose sum is -1 and whose product is -12 and factorise the equation
(w-4)(w+3) = 0
- find the two solutions
w-4 = 0
w = 4
w+3 = 0
w = -3
4)remember that a length can’t be negative.
w = 4 is the only solution
5) find the length
4x3 - 3 = 9
what is true about a rhombus and square?
A. all sides are congruent to each other
B. all of these are true
C. both have diagonals that are perpendicular to each other
D. both have diagonals that bisect each other
Answer:
B. all of these are true
Step-by-step explanation:
The Square is a rhombus because all the sides of a square are equal in length. Even, the diagonals of both square and rhombus are perpendicular to each other and bisect the opposite angles. Therefore, we can say the square is a rhombus.
Hope this helped!!
A car dealership has 180 cars on their lot. If they increase their inventory by 25%, how many cars will be on the lot?
Answer:
There will be 225 cars on the lot.
A car dealership has 180 cars on their lot. If they increase their inventory be 25%, how many cars will be on the lot?
25/100 * 180
= 5 * 9 = 45
Therefore:
180 + 45 = 225 cars
Answer:
There will be 225 cars on the lot.
I need this pls help me
Answer:
that statement is true
is there some other question?
Answer:
it is true
Step-by-step explanation:
help please!
Prove that,
when the values in a database are equal to each other, then the A.M, G.M and H.M equal to each other
note:
A.M=arithmetic mean
G.M=geometric mean
H.M= harmonic mean
Answer:
See belowStep-by-step explanation:
the n number of value of x
[tex] \displaystyle x_{1},x _{2} \dots x_{n}[/tex]
let it be
[tex] \displaystyle x_{1} = x _{2} = x_{3}{\dots }= x_{n} = a[/tex]
now, the A.M of x is
[tex] \rm \displaystyle \: A.M = \frac{ x_{1} + x_{2} + \dots \dots \: + x_{n} }{n} [/tex]
since every value equal to a
substitute:
[tex] \rm \displaystyle \: A.M = \frac{ a + a + \dots \dots \: + a}{n} [/tex]
[tex] \rm \displaystyle \: A.M = \frac{ na}{n} [/tex]
reduce fraction:
[tex] \rm \displaystyle \: A.M = a[/tex]
the G.M of x is
[tex] \rm\displaystyle \: G.M =( x_{1} \times x _{2} {\dots }\times x_{n} {)}^{ {1}^{}/ {n}^{} } [/tex]
since every value equal to a
substitute:
[tex] \rm\displaystyle \: G.M =( a \times a{\dots }\times a{)}^{ {1}^{}/ {n}^{} } [/tex]
recall law of exponent:
[tex] \rm\displaystyle \: G.M =( {a}^{n} {)}^{ {1}^{}/ {n}^{} } [/tex]
recall law of exponent:
[tex] \rm\displaystyle \: G.M = a[/tex]
the H.M of x is
[tex] \displaystyle \: H.M = \frac{n}{ \frac{1}{ x_{1}} + \frac{1}{ x_{2} } {\dots } \: { \dots}\frac{1}{x _{n} } } [/tex]
since every value equal to a
substitute:
[tex] \displaystyle \: H.M = \frac{n}{ \frac{1}{ a} + \frac{1}{ a } {\dots } \: { \dots}\frac{1}{a } } [/tex]
[tex] \displaystyle \: H.M = \frac{n}{ \dfrac{n}{a} } [/tex]
simplify complex fraction:
[tex] \displaystyle \: H.M = n \times \frac{a}{n} [/tex]
[tex] \displaystyle \: H.M = a \: [/tex]
so
[tex] \displaystyle \: A.M = G.M = H.M = a[/tex]
hence,
[tex]\text{Proven}[/tex]
Answer:
What [tex]\colorbox{red}{Nayefx}[/tex]says is I sayAn archer hits a target 50% of the time. Design and use a simulation to find the experimental probability that the archer hits the target exactly four of the next five times.
MARK AS BRAINLEST FOR THE CORRECT ANSWER
Given:
An archer hits a target 50% of the time.
To find:
The experimental probability that the archer hits the target exactly four of the next five times.
Solution:
It is given that an archer hits a target 50% of the time. It means the probability of hitting the target is
[tex]p=\dfrac{50}{100}[/tex]
[tex]p=0.5[/tex]
The probability of not hitting the target is
[tex]q=1-p[/tex]
[tex]q=1-0.5[/tex]
[tex]q=0.5[/tex]
Binomial distribution formula:
[tex]P(x=r)=^nC_rp^rq^{n-r}[/tex]
We need to find the probability that the archer hits the target exactly four of the next five times. So, [tex]n=5,r=4,p=0.5,q=0.5[/tex].
[tex]P(x=4)=^5C_4(0.5)^4(0.5)^{5-4}[/tex]
[tex]P(x=4)=\dfrac{5!}{4!(5-4)!}(0.5)^4(0.5)^{1}[/tex]
[tex]P(x=4)=5(0.5)^{5}[/tex]
[tex]P(x=4)=0.15625[/tex]
Therefore, the experimental probability that the archer hits the target exactly four of the next five times is 0.15625.
What is the best definition for parabola?
Answer: curve shape of something
Step-by-step explanation:
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.......
A parabola is a curve where any point is at an equal distance from: a fixed point (the focus), and. a fixed straight line (the directrix)
Hope it helps!
mark me brainliest pls.......
Follow me! :)
The largest U.S flag in the world is 225 feet by 505 feet.
Is the ratio of the length to the width equivalent to 1:19,
the ratio for official government flags?
Answer:
Step-by-step explanation:
Remark
The ratio should be 10 : 19
Given
Flag Ratio: 225 : 505
Break the dimensions into prime factors.
225: 15 * 15 = 3*5 * 3*5
505: 5 * 101
Conclusion
101 is prime so this dimension cannot be broken down any further
The fives cancel out. The dimensions of this flag are in the ratio of 45/101 which is 0.4455
10/19 = 0.5263
I would say this is reasonably close.
please help help help help !!!!! ASAP
Factorise
3у^2 - 54y + 243
Answer:
3(y-9)^2
Step-by-step explanation:
Answer:
See in the picture mark brainliest if correct
Find the area of the figure. Round to the nearest hundredth
Answer:
let's divide the figure into two parts.
radius of the semicircle is 3.5m. two semi-circles make a circle and
area of circle=pi×r²
area of circle=22/7×(3.5m)2².
area of circle=38.5m²
area of rectangle=length ×width
area of rectangle =18m×7m
area of rectangle =126m²
area pf figure =38.5m²+126m²
area of figure=164.5m²
Which numbers are integers?Check all that apply.
15
-9
Two-thirds
6 and StartFraction 1 Over 9 EndFraction
0
-3,128
4.76
Answer:
the intergers include all negative whole numbers,zero,positive whole numbers
Answer:
the answer is 15. -9. 0. -3,128
Step-by-step explanation:
Evaluate 2m if
m = 7.2
Choose the correct answer.
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
%
answer:
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
45 %
The percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
How to determine the change in the rates?From the chart (table), we have the following rates in Germany:
Rate in 1970 = 27.42Rate in 1976 = 39.74The percentage change is then calculated using:
Percentage change= (Final - Initial)/Initial * 100%
This gives
Percentage change= (39.74 - 27.42)/27.42* 100%
Evaluate the quotient
Percentage change= 0.45* 100%
Evaluate the product
Percentage change= 45%
Hence, the percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
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Poease help! Thank you
Answer:
28 and 12t
Step-by-step explanation:
4 x 7
4 x 3t
Answer:
28+12t
Step-by-step explanation:
Simplify the expression :)
btw you spelled please wrong
