A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree find the original height of the tree
Answers
Answer:
The original height of the tree is 18 m.
Step-by-step explanation:
Please see attached photo for explanation.
From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:
x² = 5² + 12²
x² = 25 + 144
x² = 169
Take the square root of both side
x = √169
x = 13 m
Finally, we shall determine the original height of the tree. This can be obtained as follow.
From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.
Thus, the original height of the will be the sum of 5 and x i.e
Height = 5 + x
x = 13 m
Height = 5 + 13
Height = 18 m
Therefore, the original height of the tree is 18 m.
Related Questions
Please answer this correctly without making mistakes
Answers
4yd+1ft= 4yd and 1ft
Answer:
4yd, 1ft
Step-by-step explanation:
2yd + 2yd = 4yd
4yd + 1ft = 4yd, 1ft
100 questions on a test. You missed 13 of them. What is your percentage of CORRECT answers?
Answers
Answer:
87%
Step-by-step explanation:
100-13 = 87
87 percent of 100 is 87
A rectangle is drawn so that the width is I feet
shorter than the length. The area of the rectangle
is 12 square feet. Find the length of the
rectangle,
Answers
Answer:
Length = 4 feet
Step-by-step explanation:
Let the length of a rectangle be x.
Width is 1 feet shorter than the length, b = x-1
The area of the rectangle is 12 sq feet.
The area of a rectangle is given by :
A = length × width
So,
[tex]x(x-1)=12\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x+3)(x-4)=0\\\\x=-3\ and \ x=4[/tex]
Neglecting the negative side, the length of the rectangle is equal to 4 feet.
Halp- it’s due today and I have literally no clue
A car dealer earns $100 a week plus 5.5% on all sales. If he sold $57,000 in cars this week, how much did he earn?
Pls show work if possible
Answers
5.5% in decimal form is .055
From this, we can multiply $57,000 by .055, getting $3,135. And since the car dealer gets an extra $100 this week, he gets a total of $3,235.
Answer:
3235
Step-by-step explanation:
100$ a week plus 3135 which is 5.5% if 57,000
I cant breathe i'm waiting for the ____ I toss my pain with the wishes in the wishin well ( fill in the blank) (hint: Juice WRLD)
Answers
Answer:
exhale :)
Step-by-step explanation:
Answer:
Exhale
Step-by-step explanation:
Wishing Well by Juice WRLD
Hope you have a good day :) and thx for the points
E
B
144
00
68
С
A
6
18
68
44°
F
D
Answers
Answer:
what are yo tring to sya
Step-by-step explanation:
Which expression is equivalent to look at the pic I GIVE BRAINLY AND EX POINTS
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______________________________
1.) Solve [tex]\bold{(\frac{1}{\sqrt{y}})^{\frac{-1}{5}}}[/tex]:[tex]=\sqrt[10]{y}[/tex]
- So this means from the choices, [tex]\sqrt[10]{y}=\sqrt[10]{y}[/tex].
______________________________
What is the slope intercept form of the line passing through the point (-2,2) and perpendicular to the line y=5x-2?
Answers
for a perpendicular line, you make the slope the reciprocal of the other equation
2+2=X
Solve for x please
Answers
Answer:
4
Step-by-step explanation:
2+2 = 4
hope this helps...
Answer:
4
Step-by-step explanation:
A bank is offering 3.5% simple interest on a savings account. If you deposit
$7,500, how much interest will you earn in 2 years?
Answers
Answer: $525
Step-by-step explanation:
The formula for Simple interest is calculated as PRT where
P = Principal = $7500
R = Rate = 3.5%
T = Time = 2 years
Interest = PRT
= 7500 × 3.5% × 2
= 7500 × 0.035 × 2
= $525
Four students ran for Student Council President. The table lists the percent of votes each student received. Student Name Percent of Votes Alvaro 24% Bianca 30% Leticia 17% Gabriela 29% If 150 students voted, how many students voted for Bianca?
Answers
Answer:
45
Step-by-step explanation:
30% of 150 students is 45, therefore, 45 students voted for Bianca.
HELP 20 POINTS
On one night, a scientist needs to determine the distance she is away from the International Space Station. At the specific time she is determining this the space station distance they are both on the same line of longitude 77' E. Furthermore, she is on a latitude of 29° N and the space station is orbiting just above a latitude of 61.4°N. In short, the central angle between the two is 32.4°. If the Earth's radius is 3959 miles and the space station orbits 205 miles above the surface of the Earth, then how far is the scientist away from the space station?
Answers
Answer:
a
Step-by-step explanation:
An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results.
Answers
Answer:
a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.
Step-by-step explanation:
Binomial distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
To use the Poisson approximation for the binomial, we have that:
[tex]\mu = np[/tex]
1 in every 2500 automobiles produced has a particular manufacturing defect.
This means that [tex]p = \frac{1}{2500} = 0.0004[/tex]
a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.
This is [tex]P(X = 4)[/tex] when [tex]n = 7000[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558[/tex]
0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.
Using the approximation:
[tex]\mu = np = 7000*0.0004 = 2.8[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557[/tex]
0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.
31 percent converted into a decimal
Answers
You would just divide 31 by 100 and you’ll get you answer and I got 0.31
I need help plz help
Answers
help a girl out :)
could you find the 2 endpoints of the minor axis and show work of how you got it? thank you :)
Answers
Answer:
If a>b then the major axis of the ellipse is parallel to the x -axis (and, the minor axis is parallel to the y -axis)
if a<b then the major and minor axes of the ellipse with respect to the x and y -axes are reversed
Step-by-step explanation:
i need help assap plz its a 100 point qustoin
Answers
Answer:
Umm are you going to repost and actually ask the question and give the right amount of points?
Step-by-step explanation:
If <A and <B are supplementary angles and m<A = 4m<B, find m<A and m<B.
help !!! urgent!!!!!!
Answers
Answer:
m∠A = 144°, m∠B = 36°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees.
Substitute 4(m∠B) for m∠A.
4(m∠B) + m∠B = 180
5(m∠B) = 180
m∠B = 36°
Substitute 36 for m∠B.
4(36) = m∠A
m∠A = 144°
Is this a function please help!!!
Answers
Answer:
No
Step-by-step explanation:
There are two values for x=0
what's is the answer to (-5)^4
Answers
Answer:
625
Step-by-step explanation:
i dont know why people keeps on deleting my answers that are right, but yeah this IS CORRECT STOP DELETING MY ANSWERS THAT ARE RIGHT....please
What is a unit rate?
A.
a rate with one in the numerator
B.
a rate in which the numerator and the denominator are equal
C.
a rate with one in the denominator
D.
a rate in which the denominator is greater than the numerator
Answers
Answer:
A unit rate is a rate with 1 in the denominator
simplify the following expression. (9x^2-2x+7)+(4x^2+7x+2)
Answers
Factor the expression 15 x - 10 x y
Answers
Answer:
5x(3-2y)
Step-by-step explanation:
NEED HELP 40 points !!!
Answers
Answer:
11 is 4:6
12 is 0
Step-by-step explanation:
A rectangular painting is 2 feetlong andmath56foot wide. What isthe area of the painting?
Answers
Answer:
112 feet
Step-by-step explanation:
Remember the formula for area. length x width. 56 x 2 = 112 feet
9
Are the expressions below equivalent? How do you know?*
(3 Points)
8x + 16 versus 4(2x + 4)
Enter your answer
Answers
Answer:
Step-by-step explanation:
these expressions are equivalent
4(2x+4)= 8x+16 after multiplying 4 with 2x+4
Answer:
yes
Step-by-step explanation:
Yes. If I substitute a number for x, the result is the same.
When using the vertical line test the vertical line can only go through the graph ____ times for it to be a function.
Answers
Answer:
once
Step-by-step explanation:
The vertical line test shows how many outputs (y-value) there are for one input (x-value). There can only one output for each input because only one value should satisfy an equation that represents a function. If the vertical line goes through the graph twice, that shows there are two outputs for a single x-value. This would mean it is not a function.
meow help me in math
Answers
Part (a)
Answer: 87------------------
Work Shown:
v = u + a*t
v = 7 + 10*8 ... plug in the given values
v = 7 + 80
v = 87
==================================================
Part (b)
Answer: 10------------------
Work Shown:
v = u + a*t
80 = 20 + 6*t .... plug in the given values
80-20 = 6t .... subtracting 20 from both sides
60 = 6t
6t = 60
t = 60/6 .... divide both sides by 6
t = 10
Answer:
first person is write
Step-by-step explanation:
Please tell me which is least to greatest. Thanks
Answers
Answer:
Step-by-step explanation:
The greater the negative number the more small it is
-100<-2<-1/2
Percent can be turned into decimals by moving the decimal place two spaces to the left.
What theorem can be used to prove the triangles below are congruent?
Answers
SSS theorem
Step-by-step explanation:
KL = MN
KN = ML
KM = KM
Answer:
i think it's ASA
Step-by-step explanation:
