Answer:
volume =183.26 cm³
Step-by-step explanation:
volume of a cone = 1/3πrl
l is the slant height
using; l²=h²+r²
r²= l²-h²
r²= 25²-24²= 625-576 =49
r=√49=7cm
volume = 1/3πrl = 1/3 (π×7×25)= 1/3 ×549.78
=183.26 cm³
A cell phone provider offers a plan that costs $40 per month plus $0.10 per text message sent or received. A comparable plan costs $50 per month but offers unlimited text messaging.. How many text messages would have to be sent or received in order for the plans to cost the same each month?
9514 1404 393
Answer:
100
Step-by-step explanation:
The $10 difference in base cost will pay for $10.00/$0.10 = 100 text messages.
4) The path of a satellite orbiting the earth causes it to pass directly over two
tracking stations A and B, which are 60 km apart. When the satellite is on one side of
the two stations, the angles of elevation at A and B are measured to be 86.4 ° and
85 °, respectively.
Find how far the satellite is from station A and how high the satellite is above the
ground. Round your answers to 2 decimal places.
Answers:
Satellite is approximately 2446.43 km from station A.Satellite is approximately 2441.61 km above the ground.=========================================================
Explanation:
I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.
The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths
AB = 60 kmAD = xCD = hFocusing on triangle ACD, we can apply the tangent rule to isolate h.
tan(angle) = opposite/adjacent
tan(A) = CD/AD
tan(86.4) = h/x
x*tan(86.4) = h
h = x*tan(86.4)
We'll use this later in the substitution below.
--------------------
Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say
tan(angle) = opposite/adjacent
tan(B) = CD/DB
tan(B) = CD/(DA+AB)
tan(85) = h/(x+60)
tan(85)*(x+60) = h
tan(85)*(x+60) = x*tan(86.4) ............. apply substitution; isolate x
x*tan(85)+60*tan(85) = x*tan(86.4)
60*tan(85) = x*tan(86.4)-x*tan(85)
60*tan(85) = x*(tan(86.4)-tan(85))
x*(tan(86.4)-tan(85)) = 60*tan(85)
x = 60*tan(85)/(tan(86.4)-tan(85))
x = 153.612786190499
--------------------
We'll use this approximate x value to find h
h = x*tan(86.4)
h = 153.612786190499*tan(86.4)
h = 2441.60531869599
h = 2441.61 km is how high the satellite is above the ground.
Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(86.4) = x/AC
cos(86.4) = 153.612786190499/AC
AC*cos(86.4) = 153.612786190499
AC = 153.612786190499/cos(86.4)
AC = 2446.43279498247
AC = 2446.43 km is the distance from the satellite to station A.
help asap due in 5 min.
Answer:
3
Step-by-step explanation:
just trust me hehehehhehehehhe
» Seven more than a number, 2, is at most 20.
1) Which inequality represents this statement?
7 – < 20
7 + x < 20
7 - 2 > 20
7 + x > 20
Answer:
i believe its 7 + x < 20
Step-by-step explanation:
The inequality function that represent the given statement should be 7 + x < 20. The second option is correct.
What is the inequality function?It is the relationship type that shows the relationship with the graph.
Since the statement like
Seven more than a number, 2, is at most 20.
So its inequality function be like
7 + x < 20
hence, the second option is correct.
And, the rest of the options are incorrect.
Learn more about inequality here: https://brainly.com/question/11211729
What is the equation of the line that passes through (5,-3) and (3,7)
Answer:
-5x +22
Step-by-step explanation:
The perimeter of a rectangular backyard is 146 feet. It is 40 feet long. How wide is it?
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Answer:
33 ft
Step-by-step explanation:
The perimeter formula for a rectangle is ...
P = 2(L +W)
Filling in the given numbers, we have ...
146 = 2(40 +W)
73 = 40 +W . . . . . . . divide by 2
33 = W . . . . . . . . . . . subtract 40
The backyard is 33 feet wide.
AB=
Round your answer to the nearest hundredth.
A
20
?
B
3
C
Answer:
AB= 8.77
AC= 8.24
angle a= 70
PLEASE HURRY !! VERY URGENT.
Answer:
If the height is h, then
h/65=sin70 so that means h=65sin70=61.08m approximately
Step-by-step explanation:
in Mike’s house are broken now. His father replaced 3/14 of the broken) .4 windows. Uncle Jack replaced 1/7 of the broken windows. Who replaced the greater fraction of the broken windows?
Answer:
Mike's father produces a greater fraction.
Step-by-step explanation:
Amount of windows replaced by Mike's father = 3/14
Amount of windows replaced by Uncle Jack = 1/7
This 1/7 can also be expressed as 2/14
Now, since they both have the same denominators, it means that the higher the numerator the greater than the other fraction.
Thus, 3/14 is greater than 2/14.
Hence, Mike's father replaced a greater fraction of the broken windows.
A barrel has 15 liters of water. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurements is closer to the number of fluid ounces in 15 liters
Answer:
Step-by-step explanation:
There are approximately 29.6 milliliters in 1 fluid ounce. W… ... Which measurement is closest to the number of fluid ounces in 3 liters ? A. 89 fl ... We have been that some doctors recommend that men drink 3 liters of water every day . There ... Use that information to find the product of 7/8 x 40 for 15 points.
( HELP! ) Charlie works at Jupiter donuts. He makes $12 per hour and gets a monthly bonus of $150. Last month, Charlie earned $390. Which equation can be used to find the number of hours (h) Charlie worked?
Use distributive property to rewrite expression -8((-2-3/4)-8)
whats 4 2/5 x 1 1/2 pls help
Answer:
33/5 or 66/10
Step-by-step explanation:
First convert 4 2/5 and 1 1/2 into a improper fraction.
4 2/5 = 22/5 ; 1 1/2 = 3/2
Then multiply
66/10
And simplify
33/5
Cost of meal for 3 at Olive Garden Restaurant with the tax is $54.
How much would a 15% tip be for the waiter? (Round your answer to the nearest dollar amount.) PLEASE HELP
 NEED HELP ASAP ILL GIVE YOU BRAINLIST
A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of grass will the family need if they want to cover the area where the tree once was?
A
22 ft²
B
39 ft²
C
44 ft²
D
154 ft²
The family needs to cover 39ft² area of grass.
What is Area of Circle?The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.
Here, Diameter = 7 ft.
Radius = 7/2 ft. = 3.5 ft.
The Area of Circle = πr²
A = 3.14 X (3.5)²
A = 3.14 X 3.5 X 3.5
A = 38.465 ft² ≈ 39 ft²
Thus, the family needs to cover 39ft² area of grass.
Learn more about Area of Circle from:
https://brainly.com/question/22964077
#SPJ2
A number m is no less than –1 or less than or equal to −5.
Answer:
-1 < m ≤ - 5
Step-by-step explanation:
Your expression includes: m, -1, -5, >, ≤
m is the value being compared so it will be in the middle.
# sign m sign #
m is no less than -1: no less than means it is greater than -1, but does not include -1. Therefore, our sign is >
m > -1
m is less than or equal to -5. This means we use ≤ because it can equal -5.
m ≤ -5
Now combine the two expressions
m > -1 – This can also be written as -1 < m.
m ≤ -5
-1 < m ≤ - 5
Which graph represents the function?
f(x)=1x+1−2
IS MY ANSWER CORRECT???
Answer:yes
Step-by-step explanation:
Answer:
yes it is
Step-by-step explanation:
HURRY WILL MARK YOU BRAINLIEST
Answer:
x=11/4
Step-by-step explanation:
4x+5=8x-6
4
x
= 8
x
−
1
1 <simplify
-8x -8x
-4x=-11
x=11/4
write a story problem that can be represented with the following equation:
7.5x + 15 = 30
Answer:
I went to a concert with my friends and every ticket costs $7.50 and I also had to pay a fee of $15.
Share 20 into the ratio 1:3
Answer:
5:15 :))
Step-by-step explanation:
you would do 1+3(=4) and then divide 20 by 4(=5)
5×1=5
5×3=15
20*20 PLZ
CAUSE THIS WORK IS HARD AND IM IN THE 3RD GRADE
Answer:
400
Step-by-step explanation:
so the question is 20 times 20. This problem means you are doing 20, 20 times. Since you are in 3rd grade I will use the counting meathod. So to do this you need to count starting at 20 by 20 20 times.
20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400.
As you can see the answer is 400. I started at 20 and I consistently counted by 20. Also I did it 20 times. I did this because the problem says to do 20, twenty times.
Please help! image is shown below
The top line tells you this two figure is similar.
What does this mean? Similar figures have the exact same corresponding angles and proportionate sides.
You can find their side ratio with 38 and 15.2.
38 ÷ 15.2 = 2.5
To find x, use 55 ÷ 2.5 and you get 22 as your answer.
Solve:
-1/4a - 4 = 4
Answer:
a = -12
Step-by-step explanation:
-1/4a - 4 = 4
(-1/4a / -1/4) - 4 = (4 / -1/4)
a - 4 = -16
(a - 4 + 4) = -16 + 4
a = -12
I might have made some mistake but if my memory is right this is how you solve it.
i don’t understand.
online school is hard
What number is 36% of 3.18
Answer: Percentage of 36% of 3.18 = 1.1448
-4 = 5 - x. SHOW ALL STEPS!
Answer:x=9
Step-by-step explanation:
-4=5-x
Add x on both sides
x-4=5
Add 4 on both sides
x=5+4
Solve
x=9
Answer:
x = 9
Step-by-step explanation:
-4 = 5 - x
5 - x = -4
-x = -4 - 5
-x = -9
x = -9/-1
x = 9
If I spend 40$ on 5 pounds on concrete. What is the unit rate in dollars per pound
I need the answer and please explain how unit rate works cause I don't know lol
Answer:
8$/lb
Step-by-step explanation:
because 8 x 5 is 40 there for each pound would be 8$ if there are 5 pounds
5) Jim is hoping that a park will be built
within 5 mi of his house. If a park is
built at the coordinates (12, 10), does
that meet Jim's criteria? Explain.
Answer:
Step-by-step explanation:
Help please I don't get how to do this
Answer:
15:5 = 18:6 = 21:7
The scale factor is 1/3 or 0.33.
Step-by-step explanation:
The captain of the cheerleading team, Alicia, counted that they washed 58 cars. Determine if this is a reasonable number of cars that could've been washed.
Answer:
yes but no
Step-by-step explanation:
um well that is a lot by not if there is a bunch of people doing it.
