Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.
If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.
Answers
Answer:
height of the tower: 165.8 ft
use tan rule:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here: [ your calculator should be in degree mode [D] ]
x = 37°opposite = height of the toweradjacent = 220Solve:
[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]
[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]
[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]
Related Questions
Connor filled his 150 gallon pool with water in 6.25 hours. How many gallons per hour did he use?
Answers
Answer:
24 gallons per hour
Step-by-step explanation:
Connor filled his 150-gallon pool with water in 6.25, to find out how many gallons per hour he used, we have to divide the amount of gallons into every hour. Therefore:
150/6.25
24 gallons per hour.
HELP MEE!!! PLEASE
Cheryl is filling bags for a party. She puts 2 key chains in each of the 5 bags. Then, she puts 7 treats in each of the 5 bags. write an expression with two factors that show how many items cheryl put in the bags.
Answers
Answer: 45 items
Step-by-step explanation:
2 key chains in 5 bags so 2+2+2+2+2=10
Then it says 7 treats in each 5 bags so
7+7+7+7+7=35
So 10+35=45 so she had 45 items
And put 9 items in each bag
Which statement illustrates the distributive property?
3(4+5) = 3(4)+5
3(4+5)-3(4)+ 3(5)
3[(4)(5)] - 3(4)+3(5)
3[(4)(5)] = [ 3(4)][3(5)]
Answers
Answer:
3(4+5)=3(4)+3(5)
Hope it helps
Step-by-step explanation:
Solve for x………………………..
Answers
Answer:
85
Step-by-step explanation:
a² + b² = c²
13² + 84² = x²
x = 85
Scientists are looking for a drone that crashed into a forest. They decide to use a map and conduct a
circular search to find the missing drone according to the equation y? + y2 - 12x - 4y + 24 = 0 in miles.
Which of the following statements are correct? Select all that apply.
A. The search radius is less than 5 miles.
B. The search radius more than 10 miles.
C. The search is centered on the map at point (12, -4).
D. The search is centered on the map at point (-2, -6).
E. The search is centered on the map at point (6, 2).
Answers
The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute. write a sine model, y = asin(bt) k, for the height (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. y = 30 sine (startfraction pi over 15 endfraction t) 10 y = 30 sine (startfraction pi over 15 endfraction t) 30 y = 10 sine (startfraction pi over 15 endfraction t) 10 y = 10 sine (startfraction pi over 15 endfraction t) 30
Answers
The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
What is sine function with time?The period of a sine function is equal to the 2π and it repeats after each 2π units.
The sine model can be given as,
[tex]y = a\sin(bt) +k[/tex]
The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,
[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]
The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,
[tex]k=30[/tex]
The blades are 10 feet long. Thus,
[tex]a=10[/tex]
Put these values in the above formula as,
[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]
Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
Learn more about the sine function with time here;
https://brainly.com/question/1542636
Answer:
B
Step-by-step explanation:
Help, please! It's all in the screenshot
Answers
A:
5=2+3
-> right triangle
B:
5=4+3
-> not a right triangle
C.
36= 25+16
36= 41
-> not a right triangle
D.
49= 25+25
49=50
-> not a right triangle
E.
100= 36+ 64
100= 100
-> right triangle
A soda company made 1,040,000 bottles of soda. The manufacturer tested 200 bottles and found that 32 have cracks. About how many of the bottles that were manufactured are likely to have cracks?
WHich answer is correct
A. 32
B. 163
C. 166,368
D. 166,400
Answers
1,040,000 divided by 200 = 5200
32 x 5200 = 166,400
I don't know if this is correct but this is what I thought of:
Answer:
D 166,400
Step-by-step explanation:
200÷32 = 6.25
1040000 ÷ 6.25 = 166,400
pls help with math it is due soon
Answers
Answer:
x = 25
Step-by-step explanation:
[tex]x=25\sqrt 2 \times \cos 45\degree\\\\\implies x = 25 \cancel{\sqrt{2} }\times \frac{1}{ \cancel{\sqrt{2} } } \\ \\ \implies \: x = 25[/tex]
A committee of four people needs to be chosen. There are three men and five women available to serve on the committee. If the committee members are randomly chosen, what is the probability that two of the four people chosen on the committee are women? a) 0.518 b) 0.429 c)0.215 d) 0.322
Answers
Answer:
D
Step-by-step explanation:
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 cm, find its length and width.
Answers
Answer:
Length: 24 cm
Width: 8 cm
Explanation:
Let Width be "w"
Then Length is "3w"
=================
Perimeter of rectangle = 2(length+width)
===================================
2(3w+w) = 64(4w) = 32w = 8So, width is 8 cm
Length: 3w ⇒ 3(8) ⇒ 24 cm
Answer:
Length = 24 cmWidth = 8 cmStep-by-step explanation:
Given
Length = 3 x Width Perimeter = 64 cmSolving
Perimeter = 2(Length) + 2(Width)Perimeter = 2(Length + Width)Perimeter = 2(3 x Width + Width)Perimeter = 2(4 x Width)Perimeter = 8 x Width64 = 8 x WidthWidth = 64/8 = 8 cmLength = Width x 3 = 8 x 3 = 24 cmPleas help me with this and fast!
Select the two correct answers.
A number sentence with a missing digit is shown.
12._8 > 12.5
Which two numbers could be the missing digit?
2
6
9
4
0
Answers
Answer:
6 and 9
Step-by-step explanation:
Because if 6 is substituted,
12.68 > 12.5 (correct!)And if 9 is substituted,
12.98 > 12.5 (correct!)
Which answer choice correctly represents an algebraic expression for the quotient of a number and 8?
A 8j
B 1:8
C 3-8
D
8+j
Help mee please
Answers
Answer: [tex]j \div 8[/tex]
We're dividing unknown number j over 8
We can write it as [tex]\frac{j}{8}[/tex] similar to how [tex]\frac{3}{4} = 3 \div 4[/tex]
The quotient is the result of a division problem (there may or may not be a remainder).
Please help me I can’t do it and don’t add links Three sides of a quadrilateral are the same length q.the length of the fourth side is 7 inches the Preimeter of the quadrilateral is 40 inches write an expression that represents the situations
Answers
Answer:
5
Step-by-step explanation:
5
A submarine is at the surface of the ocean, preparing to dive. It submerges and dives to - 993 feet. Then, it ascends 308 feet to
void hitting an undersea cliff. What integer represents the submarine's position in feet (depth) after it ascends to avoid the cliff?
Answers
Answer:
-685
Step-by-step explanation:
hope I helped
need quick help pleaseee
Answers
Answer:
1080°
Step-by-step explanation:
(n - 2) x 180
n = number of sides = 8
(8 - 2) × 180 = 1080°
Find the area of a regular hexagon with a perimeter of 12cm.
Answers
Answer:
[tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Here is a fact to remember. A hexagon is always made up of 6 equilateral triangles.
So if the perimeter of the Hexagon is 12 cm, then each side is 2 cm.
The area of an equilateral triangle is [tex]\frac{s^{2}\sqrt{3} }{4}[/tex].
So plugging in 2 gets us the area of one triangle.
s = 2
[tex]2^{2}\sqrt{3}/4 = \sqrt3[/tex]
The area of 6 triangles will be [tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex].
3 of 5
Find the midpoint of the line segment with end coordinates of:
(-3,-1) and (-4, 2)
Give coordinates as decimals where appropriate.
Answers
Answer:
(-3.5, 0.5)
Step-by-step explanation:
Midpoint Formula
M (x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)Solving
M (x, y) = (-3 - 4 / 2, 2 - 1 / 2)M (x, y) = (-7/2, 1/2)M = (-3.5, 0.5)Which probability describes an event that is “very likely”?
A. 0.125
B. 0.9
C. 1
D. 0.50
Answers
Explanation:
If you multiply all the choice with 100the results will be
A.12.5%
B.90%
C.100%
D.50
So a situation which is very likely to happen will be 90% ( 100% is not correct because it means that the situation is gonna happen and is accurate but when you say very likely to happen it means there is still a low chance for a situation not to happen)
The probability that describes an event as "very likely" is option B, 0.9.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain.
A probability of 0.9 means that there is a 90% chance that the event will occur, which is a high likelihood of the event happening. In general, probabilities between 0.7 and 1 are often considered to be "likely" or "very likely".
Therefore, the correct option is B.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ7
Helppp plssssss!!!!!!
Answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
COUNT HOW MANY THERE ARE
Step-by-step explanation:
Find the volume of the prism or compound shape.
Answers
Since there are two “half spheres”, their area is: (113.04 x 2)in^3 = 226.08in^3.
Volume of a cylinder = (pi)(r^2)(height) = [(3.14)(9)(10)]in^3 = 282.6in^3.
Total volume = (282.6 + 226.08)in^3 = 508.68in^3.
A chef needs to decorate cupcakes for a birthday party. If the chef places
2
strawberry slices on top of each cupcake, which inequality represents the possible number of cupcakes,
k
, the chef could decorate with
46
strawberry slices?
Answers
The possible number of cupcakes is less than or equal to 23
How to write inequality equation?let
k = possible number of cupcakesNumber of strawberry slices = 46Number if strawberry slices on each cupcake = 2The inequality:
2k ≤ 46
divide both sides by 2
k ≤ 46 / 2
k ≤ 23
Therefore, the possible number of cupcakes is less than or equal to 23
Learn more about inequality:
https://brainly.com/question/25275758
Answer 1-30 With work shown Please and Thankyou
Answers
Answer:
Find the following square and cube roots.1. √144 2.√16 3.√289
= 12 = 4 = 17
4. √(4/81) 5. √25 6. √400
= 0.222 = 5 =20
7. 3√27 8. 3√-8 9. 3√216
= 15.588 = -2 = 6
10. 3√343 11. 3√-1000 12. 3√1
= 7 = -10 = 3
________________________________
Simplify the following square and cube roots. SHOW WORK!13. √112
= solution,
Cube roots, square roots,
3√112 2√112
= 3√(2x2x2)x2x7 = 4√28
= 2 ∛14 = 4√7
= 4.82
14. √20
=
The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality
Answers
Answer:
k = 220
Step-by-step explanation:
Proportion of y and x
y = kxGiven :
y = 55x = 1/4Solving :
55 = k/4k = 55 x 4k = 220Which equations can be used to find the lengths of the legs of the triangle? Select three options.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100
Answers
The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
Pythaogram theoremAccording to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.
From the diagram
hypotenuse = 10ft
Other sides are x and (x+2)ft
According to the theorem:
10^2 = x^2 + (x+2)^2
x^2 + (x+2)^2 = 100
Expand
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0
Divide through by 2
0.5x^2 +x - 24 = 0
0.5x(x+2) = 24
Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
Learn moreon Pythagoras theorem here: https://brainly.com/question/18811544
Full explanation please.
Answer as soon as possible
Answers
Answer:
(- 5, 9)Step-by-step explanation:
Given system of equations
- 2x - y = 1- 4x - y = 11Express the first equation as
y = - 2x - 1Substitute the value of y into second equation
- 4x - (- 2x - 1) = 11Solve for x
- 4x + 2x + 1 = 11- 2x + 1 = 11- 2x = 102x = - 10x = - 5Find the value of y
y = - 2(- 5) - 1 = 10 - 1 = 9Answer:
(-5, 9)
Step-by-step explanation:
Given system of linear equations:
[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]
To solve by substitution, use arithmetic operations to isolate y in Equation 1:
[tex]\implies -2x-y=1[/tex]
[tex]\implies -2x-y+y=1+y[/tex]
[tex]\implies -2x=1+y[/tex]
[tex]\implies -2x-1=1+y-1[/tex]
[tex]\implies y=-2x-1[/tex]
Substitute the expression for y into Equation 2 and solve for x:
[tex]\implies -4x-(-2x-1)=11[/tex]
[tex]\implies -4x+2x+1=11[/tex]
[tex]\implies -2x+1=11[/tex]
[tex]\implies -2x+1-1=11-1[/tex]
[tex]\implies -2x=10[/tex]
[tex]\implies -2x \div -2=10 \div -2[/tex]
[tex]\implies x=-5[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\implies -2(-5)-y=1[/tex]
[tex]\implies 10-y=1[/tex]
[tex]\implies 10-y+y=1+y[/tex]
[tex]\implies 10=1+y[/tex]
[tex]\implies 10-1=1+y-1[/tex]
[tex]\implies y=9[/tex]
Therefore, the solution to the given system of linear equations is (-5, 9).
Learn more about system of equations here:
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Which of the following are solutions to the equation below?
Check all that apply.
X2 + 10x + 25 = 8
Answers
Consider the following Polynomial -2a^3b^z+5ab^5+7b^4+8
a. Find the degree of the polynomial
1.5
2.6
3.15
b. Find the leading coefficient of the polynomial
1.-2
2.5
3.7
4.8
c. Find the constant term of the polynomial
1.-2
2.5
3.7
4.8
d. Find the leading term of the polynomial
1.-2a^3 b^2
2.5ab^5
3.7b^4
4.8
Answers
#a
Degree is the highest power
here it's 5#b
Leading coefficient is 7
#c
Constant term is 8 (which doesn't contain variables)
#d
Leading term is term with highest power
5ab⁵The volume of a solid is 500 cm3. What is the radius of a cylinder if the height is 13.
Answers
Answer:
3.499 cm
Step-by-step explanation:
volume of a cylinder = pi r^2 h
500 = pi r^2 (13)
sqrt ( 500/(pi * 13) = h =