The height of the radio station antenna is approximately 116 feet to the nearest foot.
From the diagram in the attached image
[tex]h=\text{the height of the radio station antenna}\\x=\text{the distance from the foot of the radio station antenna to where the man stood at first}[/tex]
we now have the following relationships
[tex]tan64^\circ=\frac{h}{x}\\\\\implies x=\frac{h}{tan64^\circ}[/tex]
and
[tex]tan43^\circ=\frac{h}{68+x}\\\\\implies x=\frac{h}{tan43^\circ}-68[/tex]
we can equate the two relationships to eliminate [tex]x[/tex].
[tex]\frac{h}{tan64^\circ}=\frac{h}{tan43^\circ}-68[/tex]
solving for the height of the radio station antenna, [tex]h[/tex], we get
[tex]h=\frac{68\times tan43^\circ \times tan64^\circ}{tan64^\circ -tan43^\circ}\approx 116ft\text{ (to the nearest foot)}[/tex]
Learn more about angle of elevation here: https://brainly.com/question/12483071
A television was originally priced at $1250.00 It is now on sale. If the TV is 30% off what is the sale price of the television?
Answer:
$875.00
Step-by-step explanation:
You multiply 1250 by .3 to get 375. Then you subtract that from your total to get your sale price. Hope this helps :))
Is (1,0) (3,0), (1,1) (3,1) (1,3) a function
Answer:
yes
Step-by-step explanation:
Round your answer to the nearest tenth
Answer:
19.0
Step-by-step explanation:
19.0 is the correct answer.
Hello, hope you are having a nice day.
e=2.718281828...
e^7 means e times e times e times e times e times e times e.
The approximate answer is
1096.6
I hope it helps. Please mark brainliest!
~An emotional teen who helps others with joy
Good luck.
The ratio of boys to girls at a party was 6:7 if there were 28 girls how many people attended the party
Answer:
52
Step-by-step explanation:
6+7=13
6:7=13
x:28
28/7=4
so you have to multiply by 4
4x6=24
24 boys and 28 girls
24+28=52
Answer:
52
Step-by-step explanation:
Lets put the ratio like this: 6x (boys) : 7x (girls)
because we know that the amount of girls is 28 we can set them equal as so:
7x = 28
÷ divide both sides by 7
x = 4
now add 6x + 7x to get the total people = 13x and because x equals 4, we can multiply 13 by 4. Which is 52
HOPE THIS HELPS :)
Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answer as a fraction in lowest terms..
Answer:
Each student get 3/4 cups.
Step-by-step explanation:
15÷20=0.75
turn into fraction
3/4
I answer this question before
What happens to the decimal point when we multiply a whole number by 100?
Answer:
Step-by-step explanation:
To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right
A student earned $175 last week. She worked 35 hours. How much did she earn per hour?
Answer:
5$
Step-by-step explanation:
5 divided by 175 is 35
5x35 is 175
Help me plzzzz!! It is math and I have to walk the number line. And i don't know how to do it!
Answer:
1 is 13
2 is 13
3 is -7
4 is 7
Step-by-step explanation:
If you answer it right i will give Brainliest. Take 7 times 5= divided by 25 times 100 = divided by 300.
Step-by-step explanation:
7×5÷25×100÷300
25÷5=5
7×5×100÷300
300÷100=3
7×5×3=105
how do you subtract fractions with like numerators
Answer:
Step-by-step explanation:
To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.
BRAINLIEST
Solve for X. Round to the nearest tenth.
Step-by-step explanation:
2 things to remember for problems like this :
the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.
so, now for the given problems :
4.
x/sin(90) = 12/sin(29)
x/1 = x = 12/sin(29) = 24.75198408...
rounded x = 24.8
5.
the opposite angle of x is
180 - 90 - 16 = 74 degrees.
x/sin(74) = 37/sin(90) = 37
x = 37×sin(74) = 35.56668275...
rounded x = 35.6
6.
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 22/sin(58)
x = 22×sin(32)/sin(58) = 13.74712574...
rounded x = 13.7
7.
the opposite angle of 15 is
180 - 90 - 51 = 39 degrees.
x/sin(51) = 15/sin(39)
x = 15×sin(51)/sin(39) = 18.52345735...
rounded x = 18.5
help me plslsssssssssss
Answer:
see the attachments for the graphs
1. y = 1/4x +4 1/4
2. y = -5/9x +7/9
Step-by-step explanation:
The relevant formulas are ...
m = (y2 -y1)/(x2 -x1) . . . . . slope of line through points (x1, y1), (x2, y2)
b = y -mx . . . . . . . . . . . . . y-intercept of a line with slope m through point (x, y)
y = mx + b . . . . . . slope-intercept equation of the line
__
1.Points (3, 5), (-1, 4)
m = (4 -5)/(-1 -3) = -1/-4 = 1/4
b = 4 -(1/4)(-1) = 4 1/4
Equation of the line: y = 1/4x + 4 1/4
__
2.Points (-4, 3), (5, -2)
m = (-2-3)/(5 -(-4)) = -5/9
b = 3 -(-5/9)(-4) = 3 -20/9 = 7/9
Equation of the line: y = -5/9x +7/9
HELPPPPPP plsssssssssss
Answer:
270°
Step-by-step explanation:
∠ PQR = 90° ( angle in a semicircle )
PRST is a cyclic quadrilateral
The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°
Then
∠ PRS + ∠ PTS = 180°
∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°
1 Six rain gauges are spread throughout a city. The mean height of water in these gauges is 1.8 centimeters after a rainy day. Which statement must be true?
A All of the rain gauges would have 1.8 centimeters of water, if distributed evenly.
B At least one of the rain gauges has exactly 1.8 centimeters of water.
C All of the rain gauges have 1.8 centimeters of water.
Answer:
I think it's B.
Step-by-step explanation:
:)
look at screenshot answer question and i will mark you brainliest
Answer:
[tex]y= -3x+9[/tex]
Step-by-step explanation:
We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is
[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.
At this point, it's just a matter of writing the equation in the wanted form:
[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]
Which is the equation you want.
If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]
7th grade math please help me thank you.
The relationship between the number of gallons of water in a tank and number of hours is proportional. One point on the line modeling the relationship is (2,7200). Find the slope of the line, and draw a graph. Use the graph to find how long it will take to fill the tank if it holds 72,000 gallons.
The slope of the line is __
Answer:
Step-by-step explanation:
I am assuming the tank starts empty. It means that in 1 hour the tank has half that water, or 3600 gallons. And the good thing of lines passing through 0.0 is that the value at 1 IS the slope we need. ie 3600.
At this point it's easy to find that if in 2 hours it filled 1/10th of the tank, in 20 hours the tank will be full.
Graph done with paint, obviously not to scale.
Ms Castillo took 40 minutes to drive from Town A to Town B at an average speed of 60 miles per hour. (a) Find the distance between A and B. (b) If she increased her speed by 12 mph, how long would she take to travel the same distance?
Answer:
40 miles, 2000seconds or 33minutes and 20 seconds
Step-by-step explanation:
a. multiple time by miles/hour -> 40*60/60=40 so 40 miles
b. 60+12=72 so her new speed is 72mph. next, to find the time we need to divide distance by 1/mph -> 40* 1/(72/60)=40*60/72=100/3 which is 2000seconds or33minutes and 20 seconds
Anyone help for brainlist:)
Determine the graph of the function -->f(x)=2^x−1
Answer:
it is D
Step-by-step explanation:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = − 1 . Horizontal Asymptote: y = − 1
Luka, Zara, and Kim simplified the following expression: -3(x+4) – 2(5x – 6). Their work
is shown below. Who simplified the expression correctly? Explain your answer. (Hint:
None, one, or two of the students could be correct.)
I
Luka
-3(x+4) - 2(5x-6)
-3(x+4) + -2(5x + -6)
-3x + -12 + -10x + 12
-13x
Zara
-3(x+4) - 2(5x-6)
-3x + -12 - (10x -12)
-3x + -12 - 10x + 12
-13x
Kim
-3(x+4) - 2(5x - 6)
-3x + -12 - 10x - 12
-13x - 24
Answer:
Kim and Zara are correct.
Step-by-step explanation:
Correct simplification:
-3(x+4) - 2(5x-6)
-3x + (-12) - 10x + 12
-3x - 12 - 10x + 12
- 13x
Luka is correct.Zara is correct.Kim is incorrect because when -2 is distributed to (5x-6), it should come out to be -10x+12.find the area of the shape pls help
Answer:
54.28 cm²
Step-by-step explanation:
Area rectangle = 10 x 4 = 40 cm²
Area semicircle = 1/2(π(2²)) = 1/2(π(4)) = 2π ≈ 6.28 cm²
Area triangle = 1/2(4 x (10-14)) = 1/2( 4 x 4) = 2 x 4 = 8 cm²
Total Area = 40 cm² + 6.28 cm² + 8 cm² = 54.28 cm²
-Chetan K
0.95929409956639. rational or irrational
Answer:yes
Step-by-step explanation:
C(x)= 500000 +80x+0.003x^2 me ayudan hallar por favor
Answer:
It's a parabola with a minimum.
C(x)= 500,000 + 80x + 0.003x^2
C'(x) = 80 + 0.006x = 0
x = 80/0/006 = 13,333 units
Step-by-step explanation:
A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is
C(x)= 500,000 + 80x + 0.003x^2
The company can produce no more than 30,000 units during a given time period. How
many units of the chemical product should be manufactured and sold to maximize profit?
What is the slope of this line?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.
I see 2 such points :
(-2, 3) and (0, -3)
x changes by +2 (from -2 to 0)
y changes by -6 (from 3 to -3)
the slope is -6/+2 = -6/2 = -3
Can you help me on this ?
Answer:
what one?
Step-by-step explanation:
SOMEONE PLEASE HELP I will give you brainliest it’s due in 11:59 pm TODAY!! Please
William Kamkwamba, the author of The Boy Who Harnessed the Wind, structured his memoir by first telling about the day the windmill he built first generated electricity, then by telling about the events that led him to build the windmill, and finally by telling about what happened to him after he built the windmill.
This is an example of which type of text structure?
Why does Kamkwamba begin with the day the windmill first generated electricity?
The kind of text structure that was utilized by William Kamkwamba in the story, "The Boy Who Harnessed the Wind" is the Sequential text structure.
William Kwakwamba began with the day the windmill first generated electricity because it was remarkable and is, therefore, the first detail to note in the story.
To understand why this is the right text structure, we need to first understand what text structure is and the characteristics of a sequential structure.
What is Text Structure?Text structure refers to the organization of writing to convey intended meanings.
The sequential text structure follows these processes:
It is a step-by-step account of the events in the story.It can be identified by words such as first, then, and finally.Thus given these explanations of what the sequential text structure is, we can classify the excerpt from William Kamkwamba's "The Boy Who Harnessed the Wind" as sequential.
Learn more about text structure here:
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A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?
Answer:
52.083
Step-by-step explanation:
1 min = 4.8 calories
? min=250calories
at the age speed
250/4.8 calories
=52.083min
An item sells for $40. The sales tax is 8%. What is the total cost of the item?
Answer:
43.20
Step-by-step explanation:
I looked up what is 8% of 40 then added it to 40
Step-by-step explanation:
the item sold $40
the sales tax 8%
8/100*40
3.5
In AWXY, X = 32 inches, y = 96 inches and ZW=16°. Find the area of AWXY, to the
nearest square inch.
Answer:
the nearest square inch is 50