Problem: A pole is being held up with a 10 meter rope. The cable is making a 42° of elevation from the ground to
the top of the pole. What is the distance from the base of the pole to the base of the rope ? Round your answer
to the nearest tenth of a meter.
Answers
Answer:
x = 7.4
Step-by-step explanation:
cos(42°) = x/10 or distance from bases / rope length
Using the calculator find the value of cos(42°):
cos(42°) = 0.74 = x/10
Find x using the value of cos(42°):
x/10 = 0.74
x = 7.4
Related Questions
If yz = 0.7, what is the measure of α to the nearest degree?
Answers
Answer:
.9
Step-by-step explanation:
0.6h=13.02 show work
Answers
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study today?
Answers
Answer:
18 More Minutes
Step-by-step explanation:
Hi,
I think I can help.
What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.
To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.
But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)
So we can do :
40 / 4
=
10%
Also
12 / 4
=
3
So with this we can conclude that 10% of his total time is 3 minutes.
Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.
So :
10% x 10
=
100%
3 x 10
=
30 minutes
So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.
We can now simply take the total time and take off the time spent already to find this answer :
30 - 12
=
18 minutes
That is your answer, he needs to study 18 more minutes.
I hope this helps!
If you have any questions or concerns please comment or message me! :)
A truck that is 10 ft. by 12 ft. by 8 ft. carries cube shaped boxes that have a
length of 1.5 ft. How many of these boxes can this truck hold?
Answers
Answer:
284.4
Step-by-step explanation:
Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome
284 boxes in the shape of the cubes can be fitted in the truck.
If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.
Dimensions of the truck given in the question,
Length = 10 feet, width = 12 feet and height = 8 feetSince, volume of a cuboid (shape of a truck) is given by the expression,
Volume = Length × Width × Height
Therefore, volume of the truck = 10 × 12 × 8
= 960 feet³
Volume of a cube is given by the expression,
Volume = (side)³
Therefore, volume of the cube with side length 1.5 feet will be,
Volume of a cube = (1.5)³
= 3.375 cubic feet
Let the number of cubes fitted in the truck = x
Therefore, volume of 'x' cubes = (3.375x) feet³
Since, volume of the truck = Volume of the cubes fitted
3.375x = 960
x = [tex]\frac{960}{3.375}[/tex]
x = 284.44
x ≈ 284
Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.
Learn more,
https://brainly.com/question/14912884
Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
Answers
Answer:
x ≥ -1
y < 3
Step-by-step explanation:
Answer:
Inequality 1: x ≽-1
Inequality 2: x ≼ 3
Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
if h=3, then r=
if r=2, then h=
Answers
Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
[tex]9=\frac{1}{3}\pi r^{2}3[/tex]
[tex]\pi r^{2}=9[/tex]
[tex]r^{2}=2.864[/tex]
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
[tex]9=\frac{1}{3}\pi (2)^{2}h[/tex]
[tex]h=\frac{9(3)}{4 \pi}[/tex]
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big enough to fill a movie screen! What must be true about the measure of each of the interior angles for these two triangles? Does the size of a triangle influence its angle measures? What about other polygons?
Answers
Answer:
Step-by-step explanation:
First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.
Second Question: No the size does not influence the size of the interior angle.
Third Question: That's true for all polygons. Size is not affect the interior angle size.
THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.
About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts
55 to 90 for math: 50 to 90 for language arts
55 to 60 for math: 50 to 60 for language arts
85 to 90 for math 80 to 90 for language arts
Answers
Answer:
B
Step-by-step explanation:
20.8 = 4( z+1.1)
What is Z ?
Answers
Answer:
z = 4.1
Step-by-step explanation:
(4.1 + 1.1)
(5.2)
4(5.2) = 20.8
A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12
Answers
Answer:
sin23= x/12
sin23(12)=x
0.391(12)=x
x=4.7 or 5
plz will mark as brainliest
Answers
Answer:
30
Step-by-step explanation:
1/2 x (a+b) x h = area
1/2 x ( 40 + x ) x 50 = 1750
1/2 (40 + x )= 1750/50
20 + 1/2x = 35
1/2 x = 35 - 20
x = 15 x 2
= 30
I hope this is right :)
YOU AINT GOT THE ANSWERS MAN IMAO
Using the triangle in the diagram, what would be the coordinate of A' if reflected over the line x=2 ? *
(0, 3)
(0, -3)
(4, -3)
(-4, 3)
Answers
10 + what equals -6.2
PLEASE HELP ME ASAP!!!!!!!!!!!!;))
Answers
10 + x = -6.2
subtract 10 on both sides to get:
x = -16.2
your answer is -16.2! hope this helps!
Someone plz help me I will give brainliest
Answers
Answer:
2.25x2+2x1.00+1.50=8, 10-8 =$2.00
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
MORE KHAN ACADEMY! HELP ME PLEASE!
6/3+(-1/6)=?
Answers
Answer:
[tex]1\frac{5}{6}[/tex]
Step-by-step explanation:
6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = [tex]1\frac{5}{6}[/tex]
Answer:
If these are fractions the answer is 1 5/6
If they are not fractions the answer is 1.83
What is the perimeter of JKL?
Answers
Answer:
The perimeter of JKL is 60 units.
Step-by-step explanation:
The two tangents of a circle formed by a vertex outside the circle will always be the same distance, this means that JA = JB = 13, LA = LC = 7, and KB = KC = 10. JL = JA + LA = 20, KL = LC + KC = 17, and JK = JB + KB = 23. So the perimeter of triangle JKL is 20 + 17 + 23 = 60 units.
What is the amount of sales tax owned in a $39 jacket if the tax rate is 5%
Answers
Answer:
$1.95
Step-by-step explanation:
Write about a
way
how
you have used mathematics inside or outside of school. *
Plsss help it is important
Answers
Answer:
I have used mathematics at the store when i am buying something.
Step-by-step explanation:
The table shows the relationship between the average number of hours students studied for a mathematics test and their
average grade.
Hours
Studied
Average
Grade
0
62
1
78
2
85
5
74
Which type of function is most likely to model these data?
A
linear function with positive rate of change
O
B
linear function with negative rate of change.
non-linear function that decreases then increases
D
non-linear function that increases then decreases
Answers
Answer:
D
Step-by-step explanation:
I'm going to ponder a guess that the numbers shown, 0, 62, 1, 78, 2 ,etc. are part of a table. Having said that, the answers, when graphed, create a sort of parabola, meaning that the function itself is non-linear. This exterminates option A and B. Now its just a matter of seeing which way it goes, and since 78 is higher than 62, and 85 is higher than 78, it obviously increases, rather than decreases. This makes D our final answer.
Solve for w
-w + 181 = 128
w = ____
Answers
when you add negative numbers its basically subtracting
Please solve these geometry questions.
Answers
Answer: I don't know how to do the first question but I think I did the 2nd question correctly I believe we learned this in 7th grade. I am a freshman so if it is wrong I am sorry anyways the answers for #2 are
A: 34 for JK
B: 15 for MN
and C: 30 for JL
Perimeter: is 79.
This was fun to do lol ik it wasn't much but better than nothing.
Step-by-step explanation:
Which expression is equivalent to (60)2 – (12)?? (60 – 12)
(60 - 12) (60 - 12)
(60 + 12)(60 – 12)
(60 + 12)
Answers
Answer:(60 + 12)(60 – 12)
Step-by-step explanation:
please l, I really need help like ASAP. my thing ends in 5 minutes!!!!
Answers
Answer:
it would be (-7,-6)
x=-7, y=-6
Step-by-step explanation:
which function has the steepest slope 2x-12 and y= 9- 3x
Answers
x+y =0
3x+y=16
x-y+4=8
Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 miles 1.2 miles
Answers
Answer: 8.4 miles
Step-by-step explanation:
d = rt
Solve for her rate
21 = 5r
r = 21/5
r = 4.2
Solve for if the time is 2 hours and rate (solved previously) is 4.2
d = 4.2*2
d = 8.4
The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the total distance ran by Rebecca be D = 21 miles
The time taken by her to travel 21 miles T = 5 hours
So , the speed of Rebecca S = D / T
On simplifying , we get
S = 21/5
S = 4.2 miles per hour
Therefore , the speed of Rebecca is 4.2 miles / hour
Now , let the time taken be T₂ = 2 hours
So , the distance traveled in 2 hours , D = ST₂
D = 4.2 x 2
D = 8.4 miles
Hence , the distance traveled is 8.4 miles
To learn more about speed click :
https://brainly.com/question/19930939
#SPJ2
At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from South American countries? Construct a double number line if needed.
Answers
Answer:
10
Step-by-step explanation:
100% = 40 teams
1% = 40 ÷ 100 = 0.40
25% = 0.40 x 25 = 10
Answer:
10
Step-by-step explanation:
100%/4=25%
40/4=10
You have to divide 100% by 4 because 25 goes into 100 four times.
What ever you do on the bottom or top you to do it top or bottom.
So 40 divide by 4 is 10.
Then you have you answer.
help pls
. ________.
Answers
Answer:
#8) x = 12
Step-by-step explanation:
vertical angles are congruent
5x + 10 = 70
5x = 60
x = 12
For which of the equations below is x = 2 a solution?
A 2 + x = 2
B x - 7 = 5
C 3x = 6
Answers
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A= x=0
B= x=12
C= x=2
what is the slope and y-intercept of y=2x-3
Answers
Answer:
slope=2x, y-intercept=-3
Step-by-step explanation:
When in slope intercept, the slope (m) is always the x (and whatever number is in front of it), and the y-intercept (b) is at the end of the equation.
help please due in 45 mins pleaseee helpppppp omg
Answers
Answer:
1. 0.6
2. 0.08333
.
.
.
.
i hope this helps
Answer:
I can't exactly show the work very well or in the way you want but I can answer the question...
Step-by-step explanation:
3/5 as a decimal is 0.6 and 1/12 as a decimal is 0.08333 (it goes on forever)
Hope this helps!