Answer:
I think it is B (16)
Step-by-step explanation:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the guy wire. After placing the pole, Marques measures the distance from the stake to the pole to be 3 ft. He then measures the distance from the pole to the tower to be 22 ft. Find the length of the guy wire, to the nearest foot.
The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
How to solve the length?Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
Learn more about Pythagorean theorem on:
brainly.com/question/654982
The first four terms of a geometric sequence are 2, 6, 18 and 54.
What is the 8th term?
Answer:
take a common ratio which is 3 then from general thterm of G.P whose Gn=G1r^n-1 then G8=2×3^7=2×2187=4374 therefore G8=4374
Ramesh lent a loan of Rs 1800 to Suresh at a rate of interest for 2 years. At the end of period Suresh refunded him a total of Rs 2232. At what rate of interest had Ramesh lent the loan? Ans: 12%
Answer:
12%
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = Rs 2232P = 1800t = 2Substitute given values into the formula and solve for r:
⇒ A = P(1 + rt)
⇒ 2232 = 1800(1 + r · 2)
⇒ 1.24 = 1 + r · 2
⇒ 0.24 = 2r
⇒ r = 0.12
Convert into percentage:
0.12 = 12/100 = 12%
PLS HELP FOR BRAINLY
Answer:
B
Step-by-step explanation:
Hope this helped and brainly please
The sum of my digits is 14 and I am odd. I am less than 3/5 of 160. I am greater than 104 - 12 x 4 + 23.
Answer:
95 assuming this is one number
Step-by-step explanation:
3/5 of 160 is 96
04 - 12 x 4 + 23 is 79
it is greater than 79 and less than 96
79 < x < 96
now find numbers between these 2 numbers that have digits adding to 14.
8+6 and 9+5
The problem included that the number must be odd and so the answer is 95
the circus arts program is one of the most popular activities at camp lohikan. it brings a level of excitement and enthusiasm to the camp experience that cant be found at home or in school. a circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground such that the angle made by the rope with the ground evel is 30 degree
i) find the height of the pole in the above situation.
ii) in the above situation, if the height of thepole is 3m and the length of rope is 6m then find angle ACB
Answer:
hi bro your classmate aleef here
Step-by-step explanation:
hi
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
8
Step-by-step explanation:
[tex]a^2+b^2=c^2\\a^2+6^2=10^2\\a^2+36=100\\[/tex]
subtract 36 from each side
[tex]a^2=64\\\sqrt{a^2=64}\\a=8[/tex]
or you could recognize the 3-4-5 Pytagorean triple, as the ratio is doubled.
what is complement of cot 30°?
Step-by-step explanation:
cot ( 90⁰ - 30⁰ )
cot (90 - √3)
√3 - 90
find the vertex for the function:
y = 6(x + 3)^2 - 1
Answer:
The vertex would be (-3, -1)
Step-by-step explanation:
Since this is in vertex form already, a(x-h)^2+k where h is the x value of the vetex, and k is y.
We would take the opposite of +3 and get -3, which gives us our x cordinate.
We don't change the k value, so it just stays -1, giving us our y value.
Therefore, the vertex is at (-3, -1)
Hope this helps!
Please answer this with an explanation
Answer:
64 <==== I don't see the correct answer listed
Step-by-step explanation:
Max will occur in month x given by - b/2a = - 32/ (2 * -16) = 1
plug this 'x' month in to find the max value v
= 64
Can anyone pls draw the reflected shape for the middle one the lines are mirror lines 50 points for this
Step-by-step explanation:
All drawn are correct except the middle one you need to draw down the shape size of given parallelogram
Just count the diagonal from each of the to the line and draw the points
Find the error in the calculations below, if there is one:
Line (1): -5 ≤ 2x +7<9
Line (2):-12 ≤ 2x < 2
Line (3): -6 ≤ x < 1
Line (4):
-6
1
The error ocurred from Line (1) to Line (2).
O The error ocurred from Line (3) to Line (4).
There are no errors.
O The error ocurred from Line (2) to Line (3).
The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.
d) The phys-ed. department bought a total
of 27 bats and balls for the baseball team.
Three times the number of bats minus
the number of balls is 21. Find the
number of bats and balls.
The following graph shows the low temperatures for the past six nights. What was the low temperature for Saturday?
Answer:
31° F
Step-by-step explanation:
Although it is hard to see, Saturday's low temperature is approximately 31°. This is evident in its relative position to Friday's temperature, which measures 30° F -- Saturday is just one degree higher.
Hope this helps!
Answer:31
Step-by-step explanation:
find the volume and the surface area of the shape
Answer: 192 is the volume of the shape
Step-by-step explanation: multiply the base area which is 6 and 8 equals to 48 and times the height so 48 Times 12 Equals 576. Sorryyy I don't know the surface area . Divide by 3 equals to 192
what’s the volume 9m,8m,9m
Answer:
9 x 8/2 = 36 l 36 x 9 = Volume
Step-by-step explanation:
we know base is a triangle to to find volume is area of the base times the height and on the right side of the figure, (look at photo) the height is 9 so just do 36 times 9 to get the volume.
hope this helps :D have a good night!
Please help! You can do ittt! Offering brainliest+ 20 points!
Answer: question 9 is 3/12
Step-by-step explanation:
What is the great number to start on 3x+1?
Answer: 0
Step-by-step explanation:
0 generally is our starting number since it's our y intercept on the graph, so it's most likely a point where you can start graphing.
The diagram shows the shape of Jane's backyard find the area of Jane's backyard.
Answer:
1065 square feet
Step-by-step explanation:
seperate the composite shape into two rectangles:
Calculate the area of shape 1:
A=bh
To get the base 55-20= 35
35x15 = 525
calculate the area for shape 2:
A=bh
20x27 = 540
525+540= 1065
Answer:
1065 square feet
Step-by-step explanation:
Area of backyard
Left rectangle + Right rectangle27 x 20 + 15 x (55 - 20)540 + 15 x 35540 + 5251065 square feeth(t)=50− 5th, left parenthesis, t, right parenthesis, equals, 50, minus, start fraction, t, divided by, 5, end fraction
h(35)=h(35)=
Answer:
H(t) = 50 - t/5
h(35)=50-35/5
=50-7
=43
h(35) = 43
PLSSSSS HELP, PLS HELP, WILL MARK BRIANLIEST IF YOU HELP!!!!!
Answer:
the answer is B.
Step-by-step explanation:
Can you explain how you got your answer?
The prime factorization of 100 is 4 X 25. Show a
factor tree!
Answer: hope this helps
Step-by-step explanation:
Write the equation of a cubic function f(x) that has zeros x = –3, x = –1 and x = 2. Please show work
Answer:
f(x) = (x +3)(x +1)(x -2)
Step-by-step explanation:
When 'a' is a zero of a polynomial function in x, the binomial (x -a) is a factor of the polynomial.
__
The three zeros give rise to a polynomial with three factors:
f(x) = (x -(-3)) · (x -(-1)) · (x -2)
f(x) = (x +3)(x +1)(x -2) . . . . . your cubic function
__
This can be expanded using the distributive property.
f(x) = (x² +4x +3)(x -2) = x³ +4x² +3x -2x² -8x -6
f(x) = x³ +2x² -5x -6 . . . . . standard form
each row describes a proportional relationship between the number of pounds of tomatoes used and the number of pints of tomato juice produced. complete the table by writing the constant of proportionally for each situation.
Considering the table given, the constant of proportionality of the proportional relationship is of k = 0.8.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Researching the problem on the internet, the set of values is as follows: (4,5), (8,10), (12,15), ...
Hence the constant is given by k = 4/5 = 8/10 = 12/15 = ... = 0.8.
More can be learned about proportional relationships at https://brainly.com/question/10424180
The pounds of tomatoes and the pints of tomato juice illustrates a proportional table
The constant of proportionality of the table is 1.25
How to determine the constant of proportionality?From the complete question, we have the following value
(x,y) = (4,5)
The constant of proportionality for a proportional table is calculated using:
y = kx
Make k the subject
k = y/x
So, we have:
k = 5/4
Evaluate
k = 1.25
Hence, the constant of proportionality of the table is 1.25
Read more about constant of proportionality at:
https://brainly.com/question/1835116
A rectangular field has a perimeter of 300m. What is the area of the field if the length of the field is twice the width of the field
Answer:
5000 square meters
Step-by-step explanation:
Create a rectangle and use any variable to lable it.
I used c and I know that the length is twice the width, so I added "c" for both widths and "2c" for both lengths.
Count the number of c's up and you will get 6.
Divide 300/6 to get the value for c.
You get 50 for c, so plug it in for the length 2(50) or 100, and plug it in for the width or 1(50).
Now that you have the length and width of the triangle, use length times width to find the area.
100x50=5000
Six more than the product of 24 and Carlos's savings
Answer:
24c + 6
Hope This Helps! :) Please Give brainliest if This does help you!
How many 5-digit numbers contain at least one 3?
Answer:
37,512
Step-by-step explanation:
Total # of 5 -digit numbers =9×104=90,000
Total # of 5 -digit numbers that do not contain 3=8×94=52,488
Total # of 5 -digit numbers that contain at least one 3=90,000−52,488=37,512
PLEASE HELP!!
Find the missing side lengths. Round decimals to the nearest tenth.
Answer: 36.2
Step-by-step explanation: