Answer:
[tex]l_c=5078.27ft[/tex]
Step-by-step explanation:
From the question we are told that:
Angle of inclination [tex]\angle=72 \textdegree[/tex]
Height [tex]h=4500ft[/tex]
Distance b\w cable base and mountain base [tex]d_{cm}=900ft[/tex]
Generally the equation for length of mountain base [tex]d_{mb}[/tex] is mathematically given by
[tex]Tan\theta=\frac{h}{d_{mb}}[/tex]
[tex]d_{mb}=\frac{h}{Tan\theta}[/tex]
[tex]d_{mb}=\frac{4500}{Tan 72 \textdegree}[/tex]
[tex]d_{mb}=1462.11ft[/tex]
Generally the Pythagoras equation for length of the cable [tex]l_c[/tex] is mathematically given by
[tex]l_c^2=h^2+(d_{mb}+d_{cm}^2)[/tex]
[tex]l_c^2=4500^2+(1462.11}+900}^2)[/tex]
[tex]l_c=5078.27ft[/tex]
The table shows the relationship between the number of cups and total volume of lemonade served.
Cups of Total. Volume Lemonade Served
2 (ounces)
3 16
4 24
32
How many ounces is served per cup of lemonade?
Enter the answer in the box.
ounces per cup=
Answer: 8
Step-by-step explanation:
2 cups = 16
Half of the 16 is 8
Can someone help me with this?
Answer:
Option 4
Step-by-step explanation:
The circle is filled so it must be either :less then or equal to: or :greater then or equal to: and since it is going to the left that means it is on the less then or equal to.
Answer:
option 4
Step-by-step explanation:
the circle is filled so it can be equal
it shows n is everything lower then -1 so
n<=-1
What is ;
i^82
(Show work)
Answer:
-1
Step-by-step explanation:
We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version
In this case the remainder is two which means taht i^82 = i^2 = -1
The cadets had to complete a 12 mile hike in 3 hours. How many miles an hour did they have to walk?
what's 5/6 as a decimal ?? plz help
Which expression is equivalent to 9s + 3 x 5 -2s?
A. 7s + 15
B. 2s + 22
C. 22s
D. 15s
Which holds more, a cylinder with a height of 10.0 cm and a diameter of 7.0 cm or a cylinder with a height of 7.0 cm and a diameter of 10.0 cm? Explain your answer using calculations. *
Answer:
The cylinder with a height of 7.0 cm and a diameter of 10.0 cm
Step-by-step explanation:
v = πr²h
---------------------
cylinder with a height of 10.0 cm and a diameter of 7.0 cm
v = π(3.5²)10
v = 384.65 cm³
cylinder with a height of 7.0 cm and a diameter of 10.0 cm
v = π(5²)7
v = 549.5 cm²
549.5 > 384.65
The second cylinder holds more
PLS HELP NO FAST LINKS!!!
Given that A = (9,9,2), B = (1,3,5) and C = (5,6,4), find the vector equation of the line through A and B
Answer:
Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)
Step-by-step explanation:
Vector equation of a line passing through two points A & B is : r = a + λ(b - a)
Given A = (9,9,2) ; B = (1,3,5)
Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]
= 9i + 9j + 2k + λ ( -8i + -6j + 3k)
= 9i + 9j + 2k - λ ( 8i + 6j - 3k)
1. Is x + 8 a factor of b(x) = x3 + 18x2 + 80x? Determine using synthetic
division. Explain how you know it is or isn't.
Answer:
If x+8 is a factor, divide by -8.
-8 1 18 80
-8 -80
_______________
1 10 0
It is a factor because there is no remainder.
Step-by-step explanation:
What is the volume of a sphere with a diameter of 49.3cm, rounded to the nearest tenth of a cubic centimeter?
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
10
- 10
10
(2.-6)
- 10
Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?
Answer:
b = $5
s = $6
Step-by-step explanation:
this can be solved using simultaneous equation
s = streamers
b = balloons
either of the 3 equations can be used to determine the price of the items
11b + 6s = 91 equation 1
15b + 4s = 99 equation 2
multiply equation 1 by 4 and equation 2 by 6
44b + 24s = 364 eqn 3
90b + 24s = 594 eqn 4
subtract equation 3 from 4
230 = 46b
b = 5
substitute for b in eqn 1
55 + 6s = 91
s = 6
Anyone know this?? I’m confused..
Answer:
jgh
side side side axioms
not sure
Answer:
[tex]\triangle CAB\cong \triangle ONP[/tex]
Step-by-step explanation:
Triangles [tex]\triangle CAB[/tex] and [tex]\triangle ONP[/tex] share two corresponding angles and the inclusive side between them. This is known as ASA (angle-side-angle) and does prove congruence. Therefore, [tex]\triangle CAB\cong \triangle ONP[/tex].
The four proofs of congruence include SSS (side-side-side), SAS(side-angle-side), ASA (angle-side-angle) and AAS (angle-angle-side). No other pair of triangles demonstrate any of these.
This pattern repeats every 4 terms. The pattern is square, hexagon, pentagon, triangle. What is the shape in the 13th term of this pattern? sorry if it looks weird i dont know why it does
Answer:
the answer is square
Is 511Q bad on a test :((
Answer:
big brain
Step-by-step explanation:
State six ordered pairs for this function.
F(x) = x2 +14x+45
Rewrite the following polynomial in standard form
-x2 + 1 + 2x
Answer:
Simplify terms.
Tap for more steps...
2 x ^3 − 9 x^ 2 + 7 x + 6
Step-by-step explanation:
HELP ME ASAP!!! On a scale used on a map, 3/4 inch represents 8 feet. On the map, what is the length of a room with an actual length of 24 feet?
A
4 in.
B[tex]1 \frac{3}{4} [/tex]
C
[tex]4 \ \frac{1}{2} [/tex]
D
[tex]2 \ \frac{1}{4} [/tex]
Answer:
D. 2 1/4
Step-by-step explanation:
3/4 inch = 8 feet
24 divided by 8 = 3
(meaning you would multiply eight three times in order to get to 24)
So....
3/4 x 3 = 2 1/4
Answer: 2 1/4
Hope this helps :)
Answer: D - 2 1/4”
Step-by-step explanation:
8 feet goes into 24 feet 3 times
Eg. 24/8 = 3
If 3/4” = 8 feet, then 3 x 3/4” = 24 feet
3 x 3/4” = 2 1/4”
Katy put $3000 into his bank account. If the account pays 9% interest compounded continuously, when will it be worth $12000?
Answer:
33 years and 4 months.
Step-by-step explanation:
Assuming it is a flat rate
3000 x 0.09 = $270 per year
12000-3000=9000
9000/270 = 33 years, 4 months
Please help me! DO NOT SEND LINK!
Answer:
Area is 40
perimeter is 26
Step-by-step explanation:
area = l×w
[tex]8 \times 5 = 40[/tex]
Perimeter = 2L +2W
[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]
- 7th Grade Work -
A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?
Answer:
19
Step-by-step explanation:
hope this helps with the problem
ace please help
plss
Answer: C $25
HOPE THIS HELPS
if sarah went to the shop and there was a 10% sale. she was going to buy 7 CDs for $60
Answer:
10 % of 60$ => 10/100 × 60$ => 6$
6$ for 7 cds => 42 $
WHAT IS THE LENGTH OF AC? ROUND TO ONE DECIMAL PLACE. DONT HAVE TO SHOW WORK helpppp
Answer:
AC ≈ 5.5
Step-by-step explanation:
Angle bisector theorem states that "angle bisector of an angle divides the opposite side into two segments which are proportional to the other two sides of the triangle."
By applying this theorem in the given ΔABC,
AD is the angle bisector of ∠CAB which divides the opposite side of the angle into two segments BD and CD.
Therefore, [tex]\frac{AB}{BD}=\frac{AC}{CD}[/tex]
[tex]\frac{5.1}{4}=\frac{AC}{4.3}[/tex]
[tex]AC=\frac{5.1\times 4.3}{4}[/tex]
AC = 5.4825
AC ≈ 5.5 units
Evelyn bought 1 pound of pecans and 0.36 pounds of almonds from the shop. How many pounds of nuts did she buy altogether? А. 0.46 pounds 1.36 pounds С 0.64 pounds D 4.6 pounds
Answer: I think it is B: 1.36
Step-by-step explanation: You add the nuts that she got to get the whole amount and 1+.36 is 1.36
What is the measurement of 40°
Answer:
80
Step-by-step explanation:
x by 2
HELP ASASP ITS 6Th GRADE MATH
Answer:
We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math
The school library has 300 books on the topic of
sports. Students have checked out seventy-four
of those books. How many books on the topic
of sports still remain in the library?
Step-by-step explanation:
226 sports book have a good day
In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked. If the store has 3,000 eggs for sale, how many can expect to be cracked. (Prediction = Proportion)
Group of answer choices
90
60
600
900
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.
In 200 eggs cracked =6
in 1 egg cracked =[tex]\dfrac{6}{200}[/tex]
According to the question,
If the store has 3,000 eggs for sale, how many can expect to be cracked.
In 3000 eggs cracked=[tex]\dfrac{6}{200}×3000[/tex]
90 eggs Therefore:-If the store has 3,000 eggs for sale, 90 eggs can expect to be cracked
If the store has 3,000 eggs for sale, 90 eggs can expect to be cracked.
What is Proportion?A proportion is an equation in which two ratios are set equal to each other.
For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)
Given that :
In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.
In 200 eggs cracked = 6 / 200 in 1 egg cracked
According to the question,
If the store has 3,000 eggs for sale, how many can expect to be cracked.
In 3000 eggs cracked = 6 / 200 x 3000
= 90 eggs
Hence, If the store has 3,000 eggs for sale, 90 eggs can expect to be cracked.
Learned more about Proportion, click;
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