Question 1
Solve for
using the similar triangles. Round to the nearest tenth. (For example, 10.578 would round to 10.6)
Question 2
Find the height of the tree to the nearest whole meter using the two similar triangles below. (For example. 10.57
3 m
30 m
Please answer fast thank you
Answers
Answer:
1)x=21.33
2)Height of tree is 20 m
Step-by-step explanation:
Question 1
ΔABC ≈ΔADE
Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion
So,[tex]\frac{AB}{AD}=\frac{BC}{DE}\\\frac{AB}{AB+BD}=\frac{BC}{DE}\\\frac{12}{12+6}=\frac{x}{32}\\\frac{12}{18}=\frac{x}{32}\\\frac{12}{18} \times 32 =x\\21.33=x[/tex]
Question 2: Find the height of tree
ΔDEF ≈ΔDHI
Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion
So,[tex]\frac{DE}{DH}=\frac{EF}{HI}\\\frac{3}{30}=\frac{2}{HI}\\HI=\frac{2 \times 30}{3}\\HI=20[/tex]
Hence The height of tree is 30 m
Related Questions
Which answer choice shows the number fifty-four and four hundredths written in standard form? A. 54,400 B. 54.04 C. 54.004 D. 54.0004
Answers
Answer:
c
Step-by-step explanation:
The angular velocity of a fan blade is 6.2 radians per second.
Approximately how many revolutions does the fan blade make in 1.6 minutes?
Enter your answer, rounded to the nearest tenth of a revolution
Answers
Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
1.6 minutes is 1.6 x 60 = 96 seconds.
Its angular velocity is 6.2 radians per second: 6.2 radians/second x 96 seconds = 595.2 radians.
One revolution of the fan is one circumference of the fan, which is 2pi radians.
Dividing 595.2 radians by 2pi radians gives us an answer of 94.7 revolutions.
Name the first 10 perfect squares. Why are they perfect squares?"
Answers
Answer:
why a math problem
Step-by-step explanation:
math is hard
Find the volume of a pyramid with a square base, where the area of the base is 19.6\text{ cm}^219.6 cm 2 and the height of the pyramid is 12.7\text{ cm}12.7 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answers
Answer:
V = 83.0 cm^3
Step-by-step explanation:
To find the volume of the squared pyramid you use the following formula:
[tex]V=\frac{1}{3}Bh[/tex] ( 1 )
B: base of the pyramid = 19.6 cm^2
h: height of the pyramid = 12.7 cm
you replace the values of B and h in the equation ( 1 ):
[tex]V=\frac{1}{3}Bh=\frac{1}{3}(19.6cm^2)(12.7cm)\\\\V=82.97cm^3\approx 83.0cm^3[/tex]
hence, the volume of the pyramid is 83.0 cm^3
Proofs!! can someone PLEASE HELP
Answers
Answer:
nope sorry
Step-by-step explanation:
idk
the peripherals are the same with the numerators acting the quotient
A triangle has a base of x 1/2 m and a height of x 3/4 m. if the area of the triangle is 16 m^2, what are the base and the height of the triangle
Answers
Answer:
base = 6.4m
height = 5m
Step-by-step explanation:
Given area = 16m^2
3/4 -1/2 = 1/4 into something x 0.25 its size then add
We see that 2.5 is 10 multiplied. not relevant unless doing algebra
We also see that 0.5 is 0.25 x 2 not relevant unless doing algebra
We start with 5
16/5 = 3.2
if 5 is the height then 3.2 x 2 must be the base.
As we half base to find area so we change this value and reverse the area 1/2 above. 3.2 x 2 = 6.4m base. and 5m height stays as it is.
If we did algebra
Then 1/2 = 0.5 = 4.5
3/4 = 0.75 = 3.75
and we would have to plug in 1 as x
3 as x to find one value as 5.5 (-1) = 4.5
We find 3.75 as 5 (-1 )- 1/4 = 3.75
3.75 x 4.5 = 16.875m^2
and is closest fit using 1/4, 1/2 and -1.
But 3.2 x 5 is a better multiplication as 3 1/5 and finds 16 exact.
PlEAssE HeLPLL!!!!! LIKE REALLY HELP ME!!
Answers
Answer:
168745
Step-by-step explanation:
times them all together.
Answer:
16875 cm^3
Step-by-step explanation:
V = lwh
45 * 15 * 25 = 16875
PLEASE HURRY 30 POINTS! Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils. Which is the correct comparison of their ratios of pens to pencils?
Answers
Answer:
the ratio of pens is 2:1
and the ratio of pencils is 1:1
Answer:
(D) 8 >4
9 9
hope this help
Step-by-step explanation:
The half-life of a certain radioactive material is 37 days. An initial amount of the material has
a mass of 477 kg. Write an exponential function that models the decay of this material. Find
how much radioactive material remains after 6 days. Round your answer to the nearest
thousandth.
Answers
Answer is option B that ends with 426.288 kg.
The exponential function that models the decay of this material is [tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] and the quantity of substance remains is 426.28 grams
What is Half life?Half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.
What is Radioactive material?Radionuclides (or radioactive materials) are a class of chemicals where the nucleus of the atom is unstable
Given,
Half life of a certain radioactive material = 37 days
Initial amount of the material = 477 grams
Quantity of substance remains N(t) = [tex]N_{0}(\frac{1}{2})^{(\frac{t}{half-life} )}[/tex]
Substitute the value in the equation N(t) =[tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex]
[tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] is the exponential function that models the decay of this material.
Quantity of substance remains after 6 days = [tex]477(\frac{1}{2})^{(\frac{6}{37} )}[/tex] = 426.28 grams
Hence, the exponential function that models the decay of this material is [tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] and Quantity of substance remains is 426.28 grams
Learn more about Half life and Radioactive material here
https://brainly.com/question/14950169
#SPJ2
For 10 straight days Samantha measure the amount of food that her cat Dewey a recording the results
Answers
Answer:
is there like a table or something to help me with the question
What is the domain of the relation?
A)
{-4,- 2 1, 4}
B)
{-2, 1, 4}
C)
{-2, 1, 4, 4}
D)
(-4,-2), (-2,1), (1,4), (4,4)
Answers
Answer:
A
Step-by-step explanation:
The domain of a relation is all the x values in it. Therefore, since the only x values in this relation are -4, -2, 1, and 4 that is the answer.
hope this helps :)
The domain given in option A is correct.
The domain of a relation is the set of the first coordinates from the ordered pairs.
How to find the domain of the relation ?
The domain of a relation is all the x values in it.
since the only x values in this relation are -4, -2, 1, and 4 that is the answer.
Thus, the domain is {-4,-2,1,4}.
Learn more about the domain of relation on: https://brainly.com/question/1966301
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Which of the points (s, t) is inside the shaded region of the set of inequalities shown below?
s<24 - 0.66t
s>12 - t
s< 30 - t
s>0
t>0
O A. (1,8)
O B. (-9,21)
O C. (9,4)
O D. (30, 10)
Answers
Answer:
Only point C. (9,4)
Step-by-step explanation:
To check if the points are inside the region of the inequalities, we just need to use the values of the point in each inequation, and if the point satisfy all inequations, the point is inside the region.
point A = (1,8): s = 1 and t = 8
first inequation: s<24 - 0.66t
1 < 24 - 0.66*8
1 < 18.72 (true)
second inequation: s>12 - t
1 > 12 - 8
1 > 4 (false)
So point A is not inside the region.
point B = (-9,21): s = -9 and t = 21
As we can see from the fourth inequation, the s value needs to be greater than 0, and point B has s negative, so point B is not inside the region.
point C = (9,4): s = 9 and t = 4
first inequation: s<24 - 0.66t
9 < 24 - 0.66*4
9 < 21.36 (true)
second inequation: s>12 - t
9 > 12 - 4
9 > 8 (true)
third inequation: s< 30 - t
9 < 30 - 4
9 < 26 (true)
fourth inequation: s>0
9 > 0 (true)
fifth inequation: t>0
4 > 0 (true)
As all conditions are true, point C is inside the region.
point D = (30,10): s = 30 and t = 10
first inequation: s<24 - 0.66t
30 < 24 - 0.66*10
30 < 17.4 (false)
So point D is not inside the region.
Answer:9,4
Step-by-step explanation:
A small TV that regularly sells for $89.00 is on sale at a 15% discount. What is the amount of discount?
Answers
Answer:
$13.35
Step-by-step explanation:
To find the amount of discount, multiply the discount rate by the usual price of the small TV.
discount rate * regular price
The discount rate is 15% and the regular price of the small TV is $89.00
15%*$89.00
15%*89
Convert 15% to a decimal by dividing 15 by 100, or moving the decimal place two spots to the left.
15/100=0.15
15.0-->1.5-->0.15
0.15*89
Multiply
13.35
The discount amount is $13.35
So the amount of discount is $13.35
Look at the attached picture
Hope it will help you
Good luck on your assignment
DescriptionIn mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. The conjecture states: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
Am I right
Answers
PLEASE HELP ITS AN EMERGENCY!!
Answers
Answer:
m∠B=m∠R
Step-by-step explanation:
If you make the triangles congruent, you'll see many things like:
∠A=∠P
∠B=∠R
∠C=∠S
Line AB=Line RP
Line BC=Line RS
Line CA=Line SP
Out of the options, only m∠B=m∠R is true.
Answer:
m∠b = m∠r
Step-by-step explanation:
The triangle was reflected across line m.
A reflection is a rigid transformation. A rigid transformation does not change the measurement or size of a shape, so the pre-image and the image are congruent.
The angles on the pre-image corresponds to the angles on the image. This also is for line segments.
This means (for angle measurements):
Angle A is congruent to Angle PAngle C is congruent to Angle SAngle B is congruent to Angle ROption D should be the correct answer.
find the output, y, when the input, x, is -5.
Answers
Answer:
y = -2
Step-by-step explanation:
When x = -5
Go to the blue line
y = -2
Answer:
There are 2 questions with the same question but with a different graph.
This graphs answer is -2.
But the other graph that people are confused about is 7.
Step-by-step explanation:
Hope this helps! :)
Solve this equation 2/3x+ 5= 1
Answers
Answer:
x=-6
Step-by-step explanation:
2/3x+5=1
Subtract 5 from both sides:
2/3x=-4
Multiply both sides by 3:
2x=-12
Divide both sides by 2:
x=-6
Hope this helps!
Answer:
-6
Step-by-step explanation:
2/3x +5 = 1
-5 -5
2/3x = -4
2/3x/2/3 = -4/2/3
= -6
:3 if I helped, please mark as brainliest!
OUT OF 20 ATTEMPTS A BASKETBALL
PLAYER SCORED 8 TIMES. WHAT
PERCENT OF HIS CHANCES DID HE
SCORE2
C.32%
Answers
*how to solve*
First write 8 out of 20 as a fraction:
8/20
Then multiply both sides by 5 so that the denominator is 100:
40/100
40/100 = 40 percent
please help
This spinner has 6 equal sections. what are the odds in simplest form against spinning blue or yellow?
A) 1:2
B) 2:3
C) 3:2
D) 2:1
Answers
Answer:
D
Step-by-step explanation:
hope this helps!!! good luck:)
Answer: its C 3:2
Step-by-step explanation: see how it has the word AGAINST that means the opposite of the word FAVOR if the Question was. . .
This spinner has 6 equal sections. what are the odds in simplest form FAVOR spinning blue or yellow? then the Answer would be B 2:3
but sense the Question is. . .
This spinner has 6 equal sections. what are the odds in simplest form AGAINST spinning blue or yellow?
your Answer is . . .
C) 3 : 2
Have a wonderful day :D
what is the radius of a circle with a volume of 12348 inches cubed
Answers
Answer:
14.34 in
Step-by-step explanation:
calculator website i'll link below
When there is no outlier is thebetter measure of center for a set of data
Median
Mode
Range
None of the above
Answers
Answer:
Median
Explanation:
The median is the middle number. This answer fits best with the question asked.
The mode is the number that occurs the most. This number doesn't really have a correlation to the middle of this data.
The range is just how many numbers the data spans across. It has no relation to the middle of the data.
It took Darcy two days to drive from Orlando to Pittsburgh. She drove 595 miles on the first day and at least 1,020 miles in total. How many miles did she drive on the second day?
Answers
Answer:
Darcy drove 425 miles
Step-by-step explanation:
you find this out by doing the equation 1,020-595
Zayne has a bag filled with coins. The bag contains 7 quarters, 8 dimes, 3 nickels, and 9 pennies. He randomly chooses a coins from the bag. What is the probability that Zayne chooses a quarter or a nickel?
Answers
hope this helps :)
Answer:
Q=7/27 N=1/9 which is 10/27
Step-by-step explanation:
you add all the coins together
then if it is quarter then it is 7/27
if it is a nickel then it is 3/27 = 1/9
HELP will mark brainliest
Answers
Answer:
x=55 degrees
Step-by-step explanation:
Angle X + 125 degrees is 180 degrees. 180 minus 125 is 55.
Center (2,8) r=6 plz help
Answers
Answer:
(x-2)^2+(y-8)^2=36
Step-by-step explanation:
What is the volume of a cube that has a height of 10 inches
Answers
Answer:
1000 inches
Step-by-step explanation:
V= a3=103=1000in³
Answer:1,000in3
Step-by-step explanation:
V=LxWxH
V=10x10x10
V= 1,000
solve for x
3(x+2)=5x-7
give your answer as an improper fraction
Answers
Answer:
13/2
Step-by-step explanation:
3x+6=5x-7
2x=13
13/2
6=2x-7
6+7=2x
13=2x
Move the 2 under the 13 to get your answer
13/2
I need help. How do you get 12.4 as an answer with using these instruction below.
Answers
Answer:
There are many solutions.
Here is one of them:
1 x 4 / 10 + 14 - 2 = 12.4
Hope this helps!
:)
I need help with this please ASAP!!!
Answers
Answer:
B and c
Step-by-step explanation:
Select the correct answer.
Find the area of the rectangle by multiplying its length and width-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
A. (21x2 − 17x + 2) square units
B. (21x2 − 11x + 2) square units
C. (21x2 + 2) square units
D. (21x2 + 11x + 2) square units
Answers
Answer:
b
Step-by-step explanation:
