The top of a 230 foot vertical tower is to be anchored by cables that make an angle with a measure of 50 degrees with the ground.
How long must each cable be? ____ feet
How far from the base of the tower should the anchors be placed? _____ feet
Answers
9514 1404 393
Answer:
cable length: 300.2 ftanchor distance: 193.0 ftStep-by-step explanation:
The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.
Sin = Opposite/Hypotenuse
sin(50°) = (230 ft)/h
h = (230 ft)/sin(50°) ≈ 300.24 ft
The length of the cable must be about 300.2 feet.
__
Tan = Opposite/Adjacent
tan(50°) = (230 ft)/d
d = (230 ft)/tan(50°) ≈ 192.99 ft
The cable must be anchored about 193.0 ft from the tower.
Related Questions
Find the next number in the pattern.
4, 6, 11, 19, 30, ______
Answers
Answer: 44
Step-by-step explanation:
Lupita y Andrés quieren comprar un bicicleta que ven todos los días en el aparador de la tienda la cual cuesta $3 686 ( IVA incluido 16%) y tiene el 20% de descuento ¿Cuanto pagara por la bicicleta?
Answers
Point A is at (3,5). After being translated 10 units down, what are the coordinates of Point A?
Answers
Answer: The required co-ordinates of the new point are (6, 5).
Step-by-step explanation: Given that the point (-3, 15) undergoes a translation of 9 units right and 10 units down.
We are to find the coordinates of the new point.
We know that
if the point (x, y) undergoes a translation of 9 units right and 10 units down, then its translation rule is given by
(x, y) ⇒ (x+9, y-10).
Therefore, the co-ordinates of he new point are given by
(-3, 15) ⇒ (-3+9, 15-10) = (6, 5).
Thus, the required coordinates of the new point are (6, 5).
A number cube is rollled 144 times. How many times would you expect it to land on 5?
Answers
Answer:
28.8 times if you divide 144 by 5
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
I think it is 24 because if you divide 144 by the number of sides the dice has (6) it would be 24
Please help grades close today
Answers
Answer:
Step-by-step explanation:
17. 1 foot=12 inches
So subtract 12 from 28
28-12
=16
Lena's puppy will grow 16 inches more.
18. The kittens can be
3.4, 3.3, 3.2, 3.1, 3, etc. ( units in ounces)
There are a lot of combinations so you have to find out ALL the possible combined values. ( I don't think I can fit all of them on here you will probaly have to do some work for it)
Hopefully this helps!!!
☁️ Answer ☁️
17. The puppy will grow 16 inches
One foot equals 12 inches. Lena's puppy will grow to be at most 28 inches. 28-12=16 inches.
18. 24.5
the possible values of the combined weights of the kittens is not more than 24.5 ounces. Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces
5.
The Luxor Hotel in Las Vegas, Nevada,
is shaped like a square pyramid whose
surface is covered in dark glass. The
sides of the building are 606 feet in
length. The slant height of the building
is 463 feet. Find the lateral surface area
to determine the square feet of glass
needed to cover the surface of the Luxor
Hotel.
Answers
Answer:
= 869,516 sq feet
i think will you mark me brainlest
=))
Step-by-step explanation:
Evaluate 3(c+d) if c=8 and d=-5
A. 6
B. 9
C. 39
D. -9
Answers
Answer:
C
Step-by-step explanation:
3(8+5)=39
3(13)=39
or
3(8)+3(5)=39
Answer:
b. 9
Step-by-step explanation:
if c = 8 and d = - 5
3( c + d)
= 3( 8 + (-5))
= 3 * 3
= 9
the difference of 17 and 5 times a number (s)
Answers
Answer:
(17-5)x
Step-by-step explanation:
the x next to the parenthesis means multiplication
Answer:
17 - 5s
Step-by-step explanation:
difference = minus sign
5 times = 5s
Item 8
Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.
cone with a height of 15 meters and a radius of 6 meters
cone with a height of 12 meters and a radius of 4 meters
cone with a height of 6 meters and a radius of 3 meters
cone with a height of 3 meters and a radius of 1 meter
Answers
hope that helped
Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10 are seniors who play the trumpet.
What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?
Answers
Answer:
8%
Step-by-step explanation:
10/125 * 100% = 8%
What is 2 7/12 written as a decimal?
OA) 0.2583
OB) 2.583
C) 2.583
OD) 5.83
Answers
Answer:
its 2.583333333 and repeating so it would be 2.583
Will give brainly Simplify 5/10
Answers
A class has 28 children in it.
Can it be split in the ratio 3:2?
Answers
Answer:
Yes the class can
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
What would make this problem no solutions? fill in the blank.
3(3x+2)=9x+ ____
9
2
6
8
12
17
Answers
Answer:
6
Step-by-step explanation:
the answer is six
I hope it helps
Jared bakes 2 apple pies he cuts the 2 pies into pieces each pieces is 1\8 of a pie
Answers
So out of the 2 pies there would be 16 pieces
Answer:
there is 16 pieces
Step-by-step explanation:
What is the length of BC?
Answers
Answer:
Step-by-step explanation:
Since AC and AB are opposite equal angles AC=AB
2x-24=x-2
x=22
So BC=x=22
A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5% Loan time frame is 35 years What is the amount of the loan you must take out? What monthly price do you have to pay on this house? What is the total price of this house (including interest and the down payment)?
Answers
9514 1404 393
Answer:
$20,330 down$193,670 loan$560.35 monthly$255,677 total priceStep-by-step explanation:
a) The down payment is 9.5% of the price, so is ...
down = 0.095×$214,000 = $20,330
__
b) The amount of the loan is the remaining value after the down payment is made:
$214,000 -20,330 = $193,670
__
c) The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
payment on Principal P at interest rate r for t years
A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35
__
d) The total cost of the house is ...
down + (monthly payment)×(number of months)
= $20,330 + $560.35×420
= $255,677
A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. The company has two different suppliers. Factory Q is 60 miles from the company. Factory R is 180 miles from the company. An experiment consists of monitoring a shipment and observing B, the number of boxes, and M, the number of miles the shipment travels. The following probabity model describes the experiment:
Factory Q Factory R
small order 0.3 0.2
medium order 0.1 0.2
large order 0.1 0.1
a. Find PB M(b, m), the joint PMF of the number of boxes and the distance.
b. What is E[B], the expected number of boxes?
c. Are B and M independent?
Answers
Answer:
A) PB M(b, m), we have;
b = 1
b = 2
b = 3
B) E(B) = 1.7
C) No they are not independent
Step-by-step explanation:
A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;
For PB M(b, m), we have;
b = 1
b = 2
b = 3
B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60
Factory R is 180 miles from the company. Thus under factory R in the table, m = 180
Now;
P_B (b) for b = 1 which is small order is;
P_B (b) = 0.3 + 0.2 = 0.5
P_B (b) for b = 2 which is medium order is;
P_B (b) = 0.1 + 0.2 = 0.3
P_B (b) for b = 3 which is large order is;
P_B (b) = 0.1 + 0.1 = 0.2
Thus;
E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)
E(B) = 0.5 + 0.6 + 0.6
E(B) = 1.7
C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.
Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.
Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;
0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60
Kevin buys a dining table and. 8 identical chairs for. $294. The table costs $198. How much does each chair cost? Show as bar models
Answers
Answer:
12 dollars per chair
Step-by-step explanation:
294 - 198 = 96
96 divided by 8 = 12
Also could I have brainlist, if I’m wrong my bad.
i need a reduced mixed number from 12(x-6)=2(x-9)
Answers
Step-by-step explanation:
12×x-12×6=2×x-2×9
12x-72=2x-18
12x-2x= -18+72
10x = 54
x =54/10
x = (5)\4/10
Two similar squares are in a ratio of 3:5. If a side of the larger square is 35 inches, what is the measure of a side of the smaller square?
Answers
A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K.
1. Use the Student’s t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide.
2. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide.
3. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.
Answers
Answer:
(195.733, 197.547)
Step-by-step explanation:
Given that:
Mean, m = 196.64 K
Standard deviation, s = 0.66 K
Sample size, n = 6
Confidence interval :
Mean ± margin of error
Margin of error =Tcritical * s/sqrt(n)
Tcritical at α = 98% ; df = 6 - 1 = 5
Tcritical = 3.3648
Margin of Error = 3.3648 * 0.66/sqrt(6) = 0.9066
Confidence interval = 196.64 ± 0.9066
Lower boundary = 196.64 - 0.9066 = 195.733
Upper boundary = 196.64 + 0.9066 = 197.547
(195.733, 197.547)
Given the measurement :
X = 196.35, 196.32, 196.4 198.02, 196.36, 196.39
Mean = ΣX / n = 1179.84 / 6 = 196.64
Yes, confidence interval will be valid as theean obtained is within the calculated interval
Please help me with my hw thank you so much
Answers
Answer: d
Step-by-step explanation:
What is the inverse operation needed to isolate the variable 4 = p - 8
Answers
If you want I can explain it to you in the comments
Answer:
To do this you need to add both sides by 8. yw
Step-by-step explanation:
if a state issued license plates using the scheme of one letter followed by five digits, how many plates could it use
Answers
Answer:
786240 different license plates.
Step-by-step explanation:
The required number of plates that can be used is 2,599,974.
Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974
Thus, the required number of plates that can be used is 2,599,974.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
What are the two solutions to 2x2−x−4=0 ? Use the quadratic equation
Answers
1+1a+1-1=1 plssssssssssss telllllllll meeeeeee
Answers
Answer:
a=0
Step-by-step explanation:
first, find the coefficient of 1 (doenst have to be written)
1+a+1-1=1
remove the opposites
1+a=1
cancel equal terms
a=0
Select the statement that describes this expression: 5 x (3 + 4) − 4.
5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4
will give branlist
Answers
Answer:
5 times the sum of 3 and 4, then subtract 4
Step-by-step explanation:
simplify your math.
5(7)-4
35-4
31
HELP ASAP PLS HELP PLS DONT GUESS PLS HELP I BEG U DONT GUESS I’ll give BRAINLEST
Answers
a map that created using a scale of 1 inch equals 3 miles shows a lake with an area of 18 square inches was a actual area of the lake
Answers
Answer:
Step-by-step explanation:
18in^2(3mi/in)^2
18in^2(9mi^2/in^2)
162 mi^2