Answer:
V = 780 m3
Step-by-step explanation:
A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With the level ground for a secure footing. Find, to the nearest inch, how far the base of the latter should be from the side of the building and how far up the side of the building the latter will reach.
Answer:
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
Step-by-step explanation:
Please refer to the figure attached in the answer area.
A right angled triangle [tex]\triangle ABC[/tex] is formed by the ladder with the building where hypotenuse is the length of ladder.
Hypotenuse, AC = 10 foot
Also, we are given that angle made by the base of ladder with the ground is [tex]72^\circ[/tex].
We have to find AB and BC.
[tex]\angle BAC = 72^\circ[/tex]
Using trigonometric functions:
[tex]cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches[/tex]
[tex]sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches[/tex]
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
PLEASE HELP!!!! attached photo
Answer:
(-1, -2.5)
Step-by-step explanation:
The midpoint formula is just basicallyadding both of the x values and then dividing the sum of them by 2, after that you will be adding both y values and then dividing them by 2, then you will get the midpoint x and y coordinate values. You can look up midpoint formula on google to see how it's actually written. You have to make sure to add correctly when you are using the negative numbers, because they can actually turn the equations into subtraction. Keep in mind, it can beconfusing sometimes when you are working with positive and negative numbers together. So make sure to just double check your work and also to make sure you added correctly.
Brainliest please, I need a few more :D
A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver
Answer:
I believe the answer is C. Driver.
Step-by-step explanation:
The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.
What is the area C in terms of
Which description of the graph of the linear inequality y ≥ 7x – 4 is correct????The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.
Answer:
It's the second description
Step-by-step explanation:
It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.
Answer:
The correct answer is the 2nd option
Step-by-step explanation:
Find the area of a face of a rectangular prism.
What is the area of the front of the prism?
Area =
cm2
Answer:
It is L*W*H.
Width times Height
Step-by-step explanation:
I don't know what you are exactly talking about, there are no attached worksheet. But if you are talking about the formula for the rectangular prism.
Formula for rectangle prism: L*W*H
Area of the front of the prism: Width times height
Answer:
12cm2
Step-by-step explanation:
edge 2020 correct on assignment
What is the domain of the following parabola? (5 points)
3
-2
-1/
x
1
xs1
All real numbers
ys2
Answer:
Step-by-step explanation:
The domain of this quadratic is "all real numbers." The function is defined for all x.
I need help ples.
What is the volume of composite solid?
Answer:
58 13/32 ft. cubed
Step-by-step explanation:
Horizontal Shape: 6 x 5/2 x 7/4 = 26 1/4 ft.
Vertical Shape: 7/2 x 21/4 x 7/4 = 32 5/32 ft.
Total Volume: 26 1/4 + 32 5/32 = 58 13/32 ft. cubed
If this helped can I get brainliest :)
Find the median of the data.
8,8,6,8,4,5,6
Answer: The median is 6
Step-by-step explanation:
4 5 6 6 8 8 8
4 5 6 6 8 8 8
acute scalene Triangle
right scalene triangle
acute isoceles triangle
right equilateral triangle
Answer: I hope this helps
Right scalene triangle
Step-by-step explanation:
The triangle that I made with 4cm, 7cm, and 8 cm. had a right angle and also has all unequal sides which is basically the exact definition of a right scalene triangle.
Please mark brainliest if you are satisfied with this answer :)
hello!? what's 3 + 3
Answer:
6
Step-by-step explanation
Answer:
6
Step-by-step explanation:
if you have 3 apples and 3 banannas in all you have 6 fruits in total :)
3 bugs+ 3 ladybugs= 6 bugs
Hope this helps lol :)
Point L was plotted at (-4, 1), then L was transformed creating point L’ at (-1, -4).Which transformation rule could have been used to plot L’?
Reflection across the x-axis
a 180 degree rotation about the origin
A 270 degree rotation counterclockwise rotations about the origin
A translation using the rule (x,y) -->(x+3, y -5)
Answer:
you would go down 2 from the point
Step-by-step explanation:
PLEASE HELP ME, I WILL GIVE U BRAINLIEST,
Answer:
around 9.8
Step-by-step explanation:
This is a right triangle, so to find x, you can use pythagorem theorem:
So...
23^2+x^2=25^2
529+x^2=625
x^2=96
x is around 9.8
Answer:
9.79 or 9.9
Step-by-step explanation:
Its around 9, estimation...
An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides
the same height as the square sides but twice their length. The total area of the five sides 15 2,592 in?.
Find the volume of the aquarium. Complete the explanation of your reasoning.
Let x represent the length and height of the square sides. Then the longer sides and the bottom measure
2x by x. The total area of the five sides, in terms of x, is A =____
So, the total area of the five sides,
A, is 2,592 in2. Solving for x we get x =____
The tank's volume is ____
in squared?
Answer:
volume = 11,664 units cubed
Step-by-step explanation:
2[tex]x^{2}[/tex] times 3 = bottom and sides
[tex]x^{2}[/tex] times 2 = ends
A = 6[tex]x^{2}[/tex] + 2[tex]x^{2}[/tex] = 8[tex]x^{2}[/tex]
2592 = A
2592/8 = 8[tex]x^{2}[/tex]/8
324 = [tex]x^{2}[/tex]
take square root of both sides
18 = x
so volume = length times width times height
2(18) times 18 times 18 = 11664
11664 units cubed
Please help me will give brainliest
Answer:
Mean = [26 + 31 + 39 + 32]/4 = 32
MAD = (1/4) x [|26 - 32| + |31 - 32| + |32 - 32| + |39 - 32|] = (1/4) x 14 = 3.5
Hope this helps!
:)
Answer:
3.5 putts
Step-by-step explanation:
Mean: 26 + 31 + 32 + 39 = 128/4 = 32
32 - 26 = 6
32 - 31 = 1
32 - 32 = 0
32 - 39 = 7
Mean Absolute Deviation (MAD): 6 + 1 + 0 + 7 = 14/4 = 3.5
~ hope this helps you, have a good day ~
A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. How much does the store charge for 1 additional turkey sub? Describe a rule of determining how much the store charges based on the number of turkey subs delivered
Answer:
32
Step-by-step explanation:
26+6 =32
Use the ratio test to determine whether the series is convergent or divergent.2 +4/2^2 + 8/3^2 + 16/4^2 +
Answer:
The result is 2 > 1. Hence, the series diverges
Step-by-step explanation:
You have the following series:
[tex]2+\frac{4}{2^2}+\frac{8}{3^2}+\frac{16}{4^2}+...+\frac{2^n}{n^2}=\sum_{i=1}^{i=n}a_n[/tex] (1)
You use the ratio test to determine if the series is convergent or divergent. The ratios test is given by:
[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_n}[/tex] (2)
Then, you replace the series (1) in (2):
[tex]\lim_{n \to \infty} \frac{\frac{2^{n+1}}{(n+1)^2}}{\frac{2^n}{n^2}}= \lim_{n \to \infty} \frac{(2^n2)(n^2)}{2^n(n+1)^2}\\\\\lim_{n \to \infty} \frac{2n^2}{n^2+2n+1}= \lim_{n \to \infty} \frac{2n^2}{n^2[1+\frac{2}{n}+\frac{1}{n^2}]} \\\\\lim_{n \to \infty} \frac{2}{1+\frac{2}{n}+\frac{1}{n^2}}=\frac{2}{1+0+0}=2[/tex]
In the ratio test you have that if the limit is greater than 1, the series diverges.
The result is 2 > 1. Hence, the series diverges.
What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)
Answer:
0.6t - 4.3s - 2.6.
Step-by-step explanation:
PEMDAS
Answer:
-4.3s+0.6t-2.6
Step-by-step explanation:
Add like terms:
-3.5t+4.1t-4s-0.3s+4.5-7.1
= 0.6t-4.3s-2.6
= -4.3s+0.6t-2.6
Find the surface area of the figure. Round to the nearest hundredth.
SA of half of this cylinder:
1/2*2pi(3)^2+1/2*2pi*3*25
9pi+75pi
84pi cm^2 OR 263.89 cm^2
How many 9’s are there between 1 and a 100?
Answer:
11
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
You've got 9
19
29
39
49
59
69
79
89
And then all of the numbers in the 90s
90, 91, 92, 93, 94, 95, 96, 97, 98, 99
99 counts as two
How is the distributive property used when multiplying two binomials
Answer:
Step-by-step explanation:
When multiplying a binomial times a binomial, each term of the first binomial must be multiplied by each term of the second binomial. Like terms are then combined.
When multiplying two binomials, four multiplications must take place. These multiplications can occur in any order, as long as each of the first two terms is multiplied by each of the second two terms.
There are numerous ways to set up the multiplication of two binomials. The two basic formats, horizontal line-up and vertical line-up, are similar to what we saw in adding and subtracting polynomials. Let's investigate the simple product (x + 2)(x + 4) with a variety of set-ups. Start with the first term of the first binomial (the blue x).
• Distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).
• Then take the second term in the first binomial (including its sign: +2) and distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).
• Add the results, combining like terms when needed.
• This method will work with all polynomials, not just binomials times binomials.
Answer:
Distributive.
Step-by-step explanation:
I did the quiz.
5(7 + 3x) - 12 how to simplify
To solve this we need to use this formula:
a(b+c)=ab+ac
5(7+3x)-12=35+15x-12=15x+23
Answer:
Step-by-step explanation:
Multiply the 5 to the 7 and 3x--> 35 + 15x -12. Then add 12 to the -12, making it 0 (inverse operations), and add 12 to the 35 making it 47 + 15x. :) Then you would simply divide the 15 by 15x (making the variable by itself). your answer for x should be 47/15. :> If I helped, please mark brainliest!!
Find the distance between the points (3,−5) and , (−7,−5).
Answer:
the awnser is 10
Data was collected for the number of births per 10,000 people in the United States of America for 20 consecutive years. Below is the data for those 20 consecutive years. Construct a p chart and answer the question below.
157 160 164 167 167 162 158 154 150 146 144 142 143 142 144 141 139 141 140 140
Select the correct lower control limit.
Answer:
Option A is correct.
Step-by-step explanation:
Unit 6: Statistical Process Control POSTTEST Answers (STANDARD NOT HONORS STATISTICS)
1. p bar = 0.0061
2. x bar = 6.992
3. UCL = 0.019
4. Process mean is not within statistical control. There are points above and below the control limits. There is an upward trend.
5. UCL = 58.90; LCL = 40.24
6. Process appears to be out of statistical control. There is a point that lies above the upper control limit.
7. Process mean is not within statistical control. One of the points lies above the upper control limit.
8. UCL = 0.133
9. Process is out of statistical control. There is a downward trend.
10. Process mean is not within statistical control. There are points above and below the control limits. There is a cyclical pattern.
PEARSON CONNEXUS STUDENTS: 100% correct if you put these answers.
The graph of the function f(x) is shown
Which graph represents the function 4(2x)?
Answer:
[tex]8x[/tex]
Step-by-step explanation:
[tex]4 \: time \: 2x = 8x[/tex]
40 - 80 -
60
40 - 80 + 80
60 + ?
4c =
40
20
?
Answer:
The answer is ZERO ( 0 )
Answer:
The accurate answer is 0 (zεʀο)
WILL MARK BRAINLIEST! If you buy 3 pounds of hamburg for $8.97, how much will it cost for 5 pounds of hamburg?
Answer:
14.95
Step-by-step explanation:
every 1 pound is 2.99 so you would do 2.99 * 5
Answer:
$14.95
Step-by-step explanation:
To find the slope or the cost per pound of hamburger you divide 8.97 by 5 in order to find out it costs 2.99 per hamburger. You then, multiply 2.99 by 5 to gather that to buy 5 pounds of hamburger it would cost $14.95.
Jen can bike 12 miles in 40 minutes. How much time will she need to bike 30 miles if her speed remains the same? PLEASE HELP QUICK
Answer: 100 minutes
Step-by-step explanation:
With the given information, we can use a proportion to figure out how long it would take for Jen to bike 30 miles.
[tex]\frac{12mi}{40min} =\frac{30mi}{x} \\[/tex]
[tex]12x=30*40[/tex]
[tex]12x=1200[/tex]
[tex]x=100[/tex]
A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?
Answer:
[tex]\frac{7\pi}{4}[/tex].
Step-by-step explanation:
Given information:
Radius of circle = 8 cm
Area of sector = [tex]56\pi\text{ cm}^2[/tex]
Formula for area of sector is
[tex]A=\dfrac{1}{2}\theta r^2[/tex]
where, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.
[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]
[tex]56\pi=\dfrac{64}{2}\theta[/tex]
[tex]56\pi=32\theta[/tex]
[tex]\dfrac{56\pi}{32}=\theta[/tex]
[tex]\dfrac{7\pi}{4}=\theta[/tex]
Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].
What is the distance between the points (22, 27) and
(2,-10)? If necessary, round your answer to two decimal
places.
Answer:
d = 42.06
Step-by-step explanation:
d=(2−22)2+(−10−27)2−−−−−−−−−−−−−−−−−−−√
d=(−20)2+(−37)2−−−−−−−−−−−−−√
d=400+1369−−−−−−−−−√
d=1–√769
d=42.059482
