Answers
Answer:
h ≈ 235
Step-by-step explanation:
We know there is a tower with h height. There is also a wire (that's diagonal) travelling to the ground. It touches the ground. The angle it makes with the ground is 57°.
Refer to the image below of what the problem should look like.
Refer to the trigonometric ratios:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
We can use sine because we are looking for the opposite side (to the angle) and we have the hypotenuse. So:
sine = opposite side/hypotenuse
sin(57) = h/280
sin(57) / 1 = h / 280
Cross multiply:
sin(57) (280) = 1 (h)
Input to calculator:
h = 234.827759...
h ≈ 235
Related Questions
28 people in 4 rooms: 63 people in 9 rooms. Are these ratios proportional?
Answers
the ratios are ratio proportional
1.
Solve 17 - x = 1 + 3x
Answers
We’ll combine like terms by getting all the x terms on the right, all the digits on the left.
16 = 2x
Divide both sides by 2
x = 8
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
At the music store Katelyn bought 2 packs of
guitar strings and a music book. The book cost
$18.00. Her total purchase was $46.00. How
much is one pack of strings?
Answers
The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the probability the next pizza delivery will take over 47 minutes? 2.15% 13.6% 2.28% 4.56%
Answers
Answer:
2.28%
Step-by-step explanation:
Given that:
µ = 40 minutes ; σ = 3.5.
x = > 47 minutes
Obtain the standardized score, Z
Zscore = (x - μ) / σ
P(x > 47) = (47 - 40) / 3.5
P(x > 47) = 7 / 3.5
P(x > 47) = 2
P(z > 2) = 0.02275
Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%
Final Answer is: 2.28%
I got it right when I did it! :)
A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel
Answers
Answer:
[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup.
[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]
We know that 25 liters are used for 355 kilometers.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]
We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]
[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]25*x=42*355[/tex]
[tex]25x=14910[/tex]
Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.
[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]
[tex]x=596.4[/tex]
The car can travel 596.4 kilometers with 42 liters of fuel.
Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 18,000$ per year. Choose the correct answer below. A. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 5$ a day. B. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 5$ a day. C. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 49$ a day. D. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 49 $ a day.
Answers
Answer:
This statement makes sense because this would mean that a slice of pizza and a soda costs him about $49 a day
Step-by-step explanation:
Given
The total spent on a slice of pizza and a soda is:
[tex]Cost > \$18000[/tex] per year
Required
Which of the options is true:
First, we calculate the daily amount spent on a slice of pizza and a soda.
Assume that the yearly cost is: $18000
The daily cost is:
[tex]Daily = \frac{\$18000}{365}[/tex]
[tex]Daily = \$49.32[/tex]
This means that he spends about $49 daily
What is the value of x?
Answers
Answer:
63 degrees
Step-by-step explanation:
If a=3 and b=7, find the value of
5a
Answers
Answer: 15
Step-by-step explanation: All the information you need is a=3
5a is the same as saying 5xa or 5x3, so there you have it- 15
Hope this helps <3
Data was collected on the price of a hot dog and a drink at twenty different baseball stadiums. It was found that when
the price of a hotdog was low, the price of a drink was low and that when the price of a hotdog was high, the price of
a drink was high
Which statements are correct?
Answers
Answer: the price of a hot dog was low and the drink was low
Step-by-step explanation:hope this helps
for f(x) = 5x - 7 and f(x) = -3, what is the value of x
Answers
Answer:
Step-by-step explanation:
hello :
f(x) = 5x - 7 and f(x) = -3
5x - 7 = -3
5x=7-3
5x=4
x=4/5
Answer:
x = 4/5
Step-by-step explanation:
5x - 7 = -3
5x = -3 + 7
5x = 4
x = 4/5
Check:
5*4/5 - 7 = -3
4 - 7 = -3
1) The assistant principal at the girl’s school wants to determine which type of snack to give out to the entire Girls School population during their next assembly. Which survey method would produce the best representative sample?
a. survey every fifth person who goes outside during lunch period
b. survey all the students on the debate team
c. survey every tenth student entering the school one morning
d. survey all the students who go to the mall one weekend
Answers
Answer:
C
Step-by-step explanation:
Due to the fact that you are surveying more people and that those people are differentiated there will be a more representative answer rather than a biased one.
Answer:
c
Step-by-step explanation:
you have a higher number therefore more results.
Find the average value of the function y = 2x4 over the interval [- 2,2].
Answers
Answer:
ave. val. = -------------- = 0
Step-by-step explanation:
That's y = 2x^4 (the ^ symbol indicates exponentiation).
The average value of a function f(x) over the interval [a, b] is
f(b) - f(a)
ave. val. = ----------------
b - a
Here a = -2, b = 2 and f(x) = 2x^4. Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and
the average value is:
32 - 32
ave. val. = -------------- = 0
2 - (-2)
True or False: {5, 6, 7...10) is an example of an infinite set.
Answers
Explain - true
I need help asap please
Answers
Help please! I know this is easy but I don’t know what to do!
Answers
Answer:
b
Step-by-step explanation:
1) plot the point with coordinates (3,2) label this point A
b) write down the coordinates of the midpoint of BC
Answers
for the second question the midpoint of B and C is (-1,0)
;))) have a good day
Plsss help
I’ll mark u brainlest plssss helpp
Answers
Answer:
x = 93 degrees
Step-by-step explanation:
Answer:
x= 93°
Step-by-step explanation:
the angles are corresponding angles
this means they have the same angle measure.
the bottom one is 93° so that means the other one is 93° as well.
Find the circumference of a circle with an area of 1809.56 square centimeters
Answers
Answer:
150.8cm
Step-by-step explanation:
Area= π r²
make r subject of the formula
A = π r²
A/π= πr² (dividing both sides by π)
r²= A/ π
r =
[tex] \sqrt{ \frac{a}{\pi} } [/tex]
r=√(1809.56)/(π)
r=√576.0008
r≈24cm
:. circumference= 2π r
= 2× π × 24
=150.7964
≈150.8cm
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc?
Answers
Answer:
The answer is 0.235619449 rad m.
Figure out $27 x 4 = n.
Answers
Answer:
$108
Step-by-step explanation:
20x4 = 80
7x 4 = 28
80+28 = 108
Joanne paid $28,000 for her new car. In addition, she paid $1,400 in taxes. What was the tax rate Joanne paid on her new car
Answers
Answer:
5%
Step-by-step explanation:
1400/28000=0.05
Test
5%*$28,000=$1400
Bob has $11 to buy juice for a party. If each bottle of juice costs $2, how many bottles of juice can Bob buy?
Answers
Answer:
5 is the answer
Step-by-step explanation:
2 4 6 8 10
1. 2 3 4 5
Juices
Answer: $0.18
Step-by-step explanation:
I'd appreciate any help I can get! :) A gold statue has a diameter of 60 inches and a height of 80 inches. It has a total volume of 320 inches cubed. The replica is proportional to the statue. The replica's height is 100 inches. What is the replica's volume?
Answers
Answer:
Volume of replica = 625 cubic inches
Step-by-step explanation:
Height of the gold statue = 80 inches
Volume of the gold statue = 320 cubic inches
Height of the replica = 100 inches
Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]
= [tex]\frac{100}{80}[/tex]
= 1.25
Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]
Since, volume scale factor = (Dimensional scale factor)³
[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]
Volume of replica = (1.25)³ × Volume of original statue
= (1.25)³ × 320
= 625 cubic inches
Solve the equation for d.
0.2d+3.14=5.06
What is the value of d that correctly solves the equation?
Enter your answer as a number with one decimal place, like this: 4.2
Do not round your answer.
Answers
Answer:
d=9.6
Step-by-step explanation:
0.2d+3.14=5.06
- 3.14
_________________
1.92
0.2d=1.92
1.92/0.2= 9.6
Marsha is buying plants and soil for her garden. The soil cost $4 per
bag, and the plants cost $10 each. She wants to buy at least 5 plants
and can spend no more than $100. Write a system of linear
inequalities to model the situation.
Answers
Answer:
p ≥ 5
4s + 10p ≤ 100
Step-by-step explanation:
Here, we want to write a system of inequalities
Let the number of bags of soil be s and the number of plants be p
She wants to buy at least 5 plants
mathematically, when something is at least 5, it means greater than or equal to 5
In inequality, we have this as;
p ≥ 5
Secondly, she wants to spend not more than $100; she can spend less but cannot spend more
We have this as;
The number of bags she can buy at $4 per bag is 4 * s = 4s
the number of plants at $10 per one will be;
10 * p = 10p
Adding both should give a cost less than or equal to 100
We have this as;
4s + 10p ≤ 100
So, we have the system of inequalities as;
p ≥ 5
4s + 10p ≤ 100
What is the area? Please help
Answers
Answer:
24 hhbhbbb;bbbbhhhjjjjdjdhdbdbbdbdhd
Answer: 61
Area of Square = [tex]7^{2}[/tex]
7 x 7 = 49
Area of Triangle = 1/2 (4) (3)
1/2 (4) (3) = 6
49 + 6 + 6 = 61
On a local swim team 6 members each swam 1,685 meters during the season. How many total kilometers did the 6 members swim during the season
Answers
Answer:6 members swam 10.11Km during the season
Step-by-step explanation:
Number of members = 6
meters swam by each of the 6 members = 1,685 meters
Total meters swam by the 6 members during the season
= 1,685 meters X 6
=10,110 meters
But 1000m =1km
10,110 m =10.11Km
Can I please get help!!
Just answer the questions please
Answers
Steps:
72 + (3x + 2) = 110
72 + 3x + 2 = 110
74 + 3x = 110
3x = 110 - 74
3x = 36
x = 36/3
x = 12
Check:
72 + (3x + 2) = 110
72 + 3x + 2 = 110
72 + 3(12) + 2 = 110
72 + 36 + 2 = 110
110 = 110 ✅
Brainliest???
You can buy 3 CDs for $36.00. Assuming these rates are proportional, what would be the cost of 5 CDs?
Answers
Answer:
$60
Step-by-step explanation:
36 / 3 = $12 for a single CD
12 * 5 = $60 for 5 CDs
What is the equation of a line with a slope of 2 and a y intercept of -5?
Answers
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
