Answer:
3ft
Step-by-step explanation:
We are given that
Height of lamp, h=12ft
Height of shadow, l=6ft
Height of shadow of hydrant, l'=1.5ft
Let height of hydrant=h'
We have to find the height of fire hydrant.
All right triangles are similar
When two triangles are similar then, the ratio of their corresponding sides are equal.
Using the property
[tex]\frac{h}{h'}=\frac{l}{l'}[/tex]
[tex]\frac{12}{h'}=\frac{6}{1.5}[/tex]
[tex]h'=\frac{12\times 1.5}{6}[/tex]
[tex]h'=3[/tex]ft
Hence, the height of fire hydrant=3 ft
If there was a point R(-2, 4) and it was dilated to R'(-8, 16), what was the scale factor? *
Answer:
4
Step-by-step explanation:
Work out, giving your answer in its simplest form:
4/7 divided by 2 1 / 3
Step-by-step explanation:
4/7÷21/3
=4/7*3/21
=12/147
Answer:
[tex]\frac{12}{49}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex] ← change mixed number to improper fraction
= [tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]
To perform the division
Leave the first fraction. change division to multiplication and turn the second fraction upside down.
= [tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] ← multiply numerators/ denominators together
= [tex]\frac{4(3)}{7(7)}[/tex]
= [tex]\frac{12}{49}[/tex]
Pleaseeee help I need a answer fast
Answer:
300
Step-by-step explanation:
im smart
Write the expression in expanded form (1 + 3b)(6)
Answer:
Answer Expert Verified
4.0/5
170
nikitasingh79
Genius
15.5K answers
114.1M people helped
Identity:
An identity is an equality which is true for all values of a variable in the equality.
(a + b)³ = a³+ b³+ 3ab(a + b)
In an identity the right hand side expression is called expanded form of the left hand side expression.
---------------------------------------------------------------------------------------------------
Solution:
(i) (2x + 1)³
Using identity
(a + b)³ = a³+ b³+ 3ab(a + b)
(2x + 1)³
= (2x)³ + 1³ + (3×2x×1)(2x + 1)
= 8x³+ 1 + 6x(2x + 1)
= 8x³ + 1 + 12x² + 6x
(ii) (2a – 3b)³
Using identity,
(a – b)³ = a³–b³ – 3ab(a – b)
(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)
=8a³–27b³–18ab(2a –3b)
= 8a³–27b³–36a²b + 54ab²
(iii) [3x/2 + 1]³
Using identity,
(a + b)³ = a³+ b³+ 3ab(a + b)
[3x/2 +1]³
=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)
=27x³/8+1+9/2x×(3x/2+1)
= 27x³/8 + 1 + 27/4 x² + 9/2x
= (27/8)x³ + (27/4) x² + 9/2 x + 1
(iv) [x–2/3 y]³
Using identity,
(a - b)³=a³-b³-3ab(a-b)
(X+ 2/3y)³
= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)
= x³– 8y³/27–2xy(x – 2/3 y)
= x³– (8/27)y³–2x²y+ 4/3xy²
=========================================================
Hope this will help you....
Step-by-step explanation:
What are the solutions of the quadratic equation below?
x²-4x-6=0
Answer: x=2±√10 or x=5.16227766
Step-by-step explanation:
What is the height of the cone below?
V = 90 cm
B = 18 cm?
5 cm
06 cm
O 15 cm
O 30 cm
Answer:
5cm
Step-by-step explanation:
V = (B*H)
90 = (18 * H)
H = 90 / 18
john makes $400 per week. What does it mean for him to get a 150% salary raise? Explain in words and then give an example showing a calculation.
plzzzzzzzzzzzzzzzzzzzzzz help me
Answer:
1200
Step-by-step explanation:
400 x 300 because double
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars Car 1 X |y
15 75
17 85
21 105
Car 2 :y = 10x
Which statement is true about the speeds of the two cars? A )Car 1 is traveling faster than Car 2. B )Car 2 is traveling faster than Car 1. C) The two cars are traveling at the same speed. D) The speeds cannot be compared because there is not enough information about car 2
Answer:
Step-by-step explanation:
Car 2 is traveling faster than Car 1. Option B is correct.
Given that,
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
Speed of the car 1,
= 85 - 75 / 17 - 15
= 10 / 2
= 5 feet/second
Speed of the car 2,
y = 10x
Where 10 is the speed of the car 2 feet per second.
So,
Speed of the car 2 is faster than car 1.
Thus, Car 2 is traveling faster than Car 1. Option B is correct.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ5
Mr. Patel bought lunch at a restaurant for $7.35. If he paid with a $10.00 bill, how much change did he get back?
A.
$2.55
B.
$2.65
C.
$3.35
D.
$3.65
Answer:
b. $2.65
Step-by-step explanation:
$10.00 - $7.35 = ?
$10.00 - $7.35 = $2.65
Answer:
your answer would be b. $2.65
answer asap!!! PLS HELP.
what is the value of x in the figure??
a. 90
b. 60
c. 120
d. 30
Answer:
Step-by-step explanation:
the x is 30
60=2x
x=30
Answer:
d
Step-by-step explanation:
its d i think
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
[tex] = 2\pi \: r \: h \\ 2 \times \pi \times 4 \times 9 \\ = 226 .19 {cm}^{2} [/tex]
Can I have the brainliest please?
Answer:
9 X 4 = 36
Step-by-step explanation:
not really the answer sorry pls dont be mad
GUYS PLEASE ANSWER THIS QUESTION BELOW. I AM 1 BRAINLIEST AWAY FROM EXPERT AND NEED SOMEONE ELSE TO ANSWER THIS QUESTION SO I CAN GET BRAINLIEST! YOU DON'T NEED TO ANSWER IT RIGHT JUST TYPE SOMETHING RANDOM!! Thank you!!
https://brainly.com/question/21569168?exp=25-1
Answer:
Done :)
Step-by-step explanation:
Best of luck!
Salesman Scott received $2,792.79 for selling a property. If the gross commission was 6.5 % of the sale price, the listing salesman received 12% of the gross commission and Scott received 45% of the balance, how much did the property sell for?
Answer: The property sold for $5,870.41.
Step-by-step explanation:
Let x be the selling price of the property.
Then, gross commission = 6.5% of x = 0.065x
listing salesman received = 12% of ( 0.065x) = 0.12 (0.065x) = 0.0078 x
Balance = x - ( 0.065x) - (0.0078 x)
= (1+0.065-0.0078)x
= 1.0572x
Scott received = 45% of (1.0572x)
=0.45 (1.0572x)
= 0.47574x
Now, [tex]0.47574x=2,792.79[/tex]
[tex]\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41[/tex]
Hence, the property sold for $5,870.41.
Please help due today
Answer:
cubic hahahabqbnqnwnw
what is the factored form of 5(8 + 3x) + 5?
possible number of learners in the
in a village, the bell rings every 30 minutes at the Junior School and every 40
minutes at the High School Both schools start lessons at 8:00 am
At what times between 8.00 am and 2.30p.m do the bells both rring
Find multiples of 30 and 40:
30: 30, 60, 90, 120, 150
40: 40, 80, 120, 160
The least common multiple is 120, so every 120 minutes they willl both ring.
1 hour = 60 minutes:
120/60 = 2 hours.
The bells ring together every 2 hours.
8 + 2 = 10 am
10 + = 12pm
12 + 2 = 2 pm
The bells will ring together at am, 12 pm and 2 pm.
Answer:
Solution :-At first common multiple of 30 an 40
[tex] \sf \to \: 30 = 30,60,90,120[/tex]
[tex] \sf \to \: 40 = 40,80,120[/tex]
Common Multiple = 120
Time taken = 120/60 = 2 hrs
Now,
8.00 + 2 = 10.00 am
10.00 + 2 = 12.00 noon
12.00 + 2 = 2.00 pm
[tex] \\ [/tex]
4sinA+3cosA=5
help me....
Answer:
4sinA+3cosA=5 look at this answer.sorry if wrong.i am not sure.
Answer:
masamstha 31 deleted account is correct hope it's help you have a great day ☺☺
there are 5 red marbles, 7 green marbles, 4 black marbles, and 8 blue marbles in a bag. find green or black
Answer:
11/24
Step-by-step explanation:
Answer:
11/24
Step-by-step explanation:
A water rocket is launched froni a platform. The height,
h in metres, of the water rocket at time & seconds after
it is launched is h= -212 + 74 + 4. When does the water
rocket hit the ground?
Answer:
4.41seconds later
Step-by-step explanation:
Let the equation of the height reached by the water front be h = -2t^2+7t+4
The water hits the ground at h =0
Substitute
0 = -2t^2+7t+4
-2t^2+7t+4 = 0
2t^2 - 7t - 8 = 0
t = 7±√(-7)²-4(2)(-8)/2(2)
t = 7±√49+64/4
t = 7±√113/4
t = 7±10.63/4
t = 7+10.63/4
t = 17.3/4
t = 4.41s
Hence the water hit the ground 4.41seconda later
How many kids are there in the US
Answer:
74.2 million children under the age of 18
Step-by-step explanation:
Answer:
74•2 million kids are in the usa
Find the mean then the mean absolute deviation (MAD) of the following data set Round your answer to two decimal places if necessary
3, 1, 5, 4, 8,6
If you place a 13 foot ladder against the top of a 12 foot building, how many feet will the bottom of the ladder be from the bottom of the building?
Which equation shows the same relationship as 4 = 1/5 x 20
choose 1 answer:
A. 4 ÷ 20 = 1/5
B. 20 = 1/5 ÷ 4
C. 20 x 4 = 1/5
Answer:
C. 20 x 4 = 1/5Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
4/20=.02 so its not A
1/5 divided by 4 is .05
So that leaves C
I hope this helps :)
Which could be the value of x in the
triangle below?
Answer:
6
Step-by-step explanation:
I'm going to assume that this is a right triangle
which means that
3x²+6²=19²
9x²+36=361
9x²=325
3x=18.0277
x=6
What is the area of an isosceles triangle with side lengths of 22 and 66
Answer:
726
Step-by-step explanation:
66*22/2=726
CAN SOMEONE PLEASE HELP ME!!!
Answer:
2/5, 3/7, and 2/11
Step-by-step explanation:
Sophia learned 10 recipes to create party dishes she learned these recipes in two weeks how many recipes can Sophia learn in five weeks
1. The fare of 12 kg of luggage for a distance of 36km is 24 rupees
How much fare will be charged for a luggage of 18kg for a distance
of 12km?
Answer:
16 rs maybe not sure sry if wrong
find the value of X
Help me please it’s due right now
Answer:
1. -3/2
2. 8
Step-by-step explanation:
Plug the number in with x to find the answer, then solve using PEMDAS as normal.
