Answer:
Total surface area : 733
The shape of the base is a rectangle with sides 11 in. and 12 in.
Step-by-step explanation:
The shape of the base is a rectangle with sides 11 in. and 12 in.
The surface area is the sum of the areas of the 5 sides.
Area of the base = 11*12 = 132
Area of the two triangles = (11*16)/2 = 88
Area of the back rectangle = 192
The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.
So the area of the oblique face: 19.42* 12 = 233 (almost :) )
So total surface area: 132 + 88*2+192+233= 733 square in
Suppose the heights of the members of a population follow a normal
distribution. If the mean height of the population is 72 inches and the
standard deviation is 3 inches, 99.7% of the population will have a height
within which range?
A. 63 inches to 81 inches
B. 66 inches to 78 inches
C. 60 inches to 84 inches
D. 69 inches to 75 inches
The option (A) 63 inches to 81 inches is correct after using the empirical Rule.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have:
The mean height of the population is 72 inches and the standard deviation is 3 inches, 99.7% of the population will have a height
99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean.
The lower range = 72 – 3(3) = 63 inches
The upper range = 72 + 3(3) = 81 inches
Thus, the option (A) 63 inches to 81 inches is correct after using the empirical Rule.
Learn more about the standard deviation here:
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The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
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[tex]\large \sf \underline{Problem:}[/tex]
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
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[tex]\large \sf \underline{Answer:}[/tex]
to reduce the force needed to lift the box and change the direction of the force.
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[tex]\large \sf \underline{Explanation:}[/tex]
1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."
By this definition, we know that force is needed to lift an object using a lever.
2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"
For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.
3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.
Basically, if we were to put a lever into an equation:
reduced force + change in direction = lever
(the expection) unless load and force are on the same side, there will be no change in direction.
For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.
So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.
*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.
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[tex]╰┈➤\: \huge\color{pink}{\bold{Answer}}[/tex]
To reduce the force needed to lift the box and change the direction of the force[tex] \: \: [/tex]
[tex]╰┈➤\: \huge\color{pink}{\bold{Explanation}}[/tex]
A lever consists of a rigid bar that is able to pivot at one point This point of rotation is known as the fulcrum A force is applied at some point away from the fulcrum (typically called the effort)[tex]\color{pink}──────────────────────────────[/tex]
[tex]\mathfrak \red{ - \: Cherrrry \: Red}[/tex]
Please help me solve this equation that has surface area in a cylinder question
Answer:
Where's the picture?
Step-by-step explanation:
Please provide a picture
Previous
40
Question
Solve 6x+1≤4x−9.
Step-by-step explanation:
6x+1≤4x−9
6x-4x≤-9-1
2x≤-10
-5≤xinequality changes when divided or multiplied with negative
MARK ME AS BRAINLISTThe question asks too state if the triangles in each pair are similar. Did i do it right? please help i have my test tmr
Answer:
Unfortunately they are not simmilar because 9 is not similar to 80 but to 90, they would be similar if the triangle was 40, 70 and 90, know what I mean?
Step-by-step explanation:
IF the sum of four times a number and four less than three times a number is seventeen what is the number
Answer: 3
Step-by-step explanation: This equation can be written as 4x+3x-4=17
We can now solve.
Moving the 4 to the other side (adding) and we get 21.
Now we have 4x+3x. Adding like terms, we get 7x = 21. Now we divide by 7.
X = 3.
What is the mean of 7, 10, 13, 4, 12, 21, 10, 3
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the mean of 7, 10, 13, 4, 12, 21, 10, 3?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
❖ First, add all the numbers together:-
7+10+13+4+12+21+10+3
Addition results in:-
80
Now divide by how many numbers there are (here we have 8):-
80÷8=10
So we conclude that the mean is 10.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find x in this 45°-45°-90° triangle.
22
45
X =
Step-by-step explanation:
45 and 22 multiplied would be your answer
help me pleaseeeeeeeeeeeeeeeeeeeeeee
a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.
This means that the GCF of 6 and 8 is 2.
b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:
6 + 8 = 2 × (3 + 4).
14 = 14
Is it impossible, unlikely, likely, or certain that you will blink in the next two minutes?
Answer:
you would have to very good at not blinking to but if your not I suggest not to because it will hurt also why not try to test it out ;)
Step-by-step explanation:
Let f(x) = x² + 4x - 6 and g(x) = x + 2, find (f • g)(x).
Answer:
(f.g)(x) = (f×g)(x)
= (x² + 4x - 6) × ( x + 2)
= x^3 + 2x^2 + 4x^2 + 8x - 6x - 12
= x^3 + 6x^2 + 2x -12
answer for branliest!
Answer: 19.62 * 10^7 cm
Step-by-step explanation:
Let a and b be rectangle sides.Area = a * bPerimeter = a + b + a + b = (a + b) * 2a = 9.2 * 10^7 cm
Area = 5.612 * 10^14 cm^2
Find: Perimeter - ?
Area = a * bb = Area / ab = (5.612 * 10^14) / (9.2 * 10^7) = 0.61 * 10^7 cm
Perimeter = (a + b)*2Perimeter = (9.2 * 10^7 + 0.61 * 10^7) * 2 = (9.2 + 0.61) * 10^7 * 2 = 9.81 * 2 * 10^7 = 19.62 * 10^7 cm
sử dụng mô hình AD-AS phân tích cơ chế tác động của xuất khẩu ròng tới mức giá chung, việc làm và sản lượng.
which relation is a function
Top Right
the V shape
PLEASE ANSWER ASAP!
What is the slope of the line given by the equation? (Enter your answer as a decimal if necessary)
y= 2.25x+ 2.44
Answer:
slope = 2.25
Step-by-step explanation:
This equation is written in slope-intercept form, which has the general structure: y = mx + b.
In this form, "m" = slope and "b" = y-intercept.
Therefore, the slope is 2.25 since it is replacing the "m" variable.
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square
Answer:
1/2 × 6 × 6
Step-by-step explanation:
the triangle takes up half of the square
the area of a square = side length²
side length = 6
so area of square = 6² = 6 × 6
because the triangle takes up half of the square
the area of the shaded triangle would = 1/2 × 6 × 6
Calculate the hollow conducting cylinder with an inner diameter a= 10 mm and outer diameter b= 18 mm. The height of the cylinder is 35 mm. Find the volume of cylinder.
Answer:
1960 π
Step-by-step explanation:
If R is the outer radius and r the inner radius of a hollow cylinder of height h, then volume of cylinder = π (R² - r²)h
Here R = 18/2 = 9
and r= 10/2 =5
Volume = π (9² - 5²) . 35 = π x 56 x 35 = 1960 π
These are the first four terms of a sequence. 3 -1 -5 -9. Find the nth term.
Answer:
4n-1
Step-by-step explanation:
Diffrence bweetween each number, 3 and -1, -1 and -5, -5 and -9 is 4
4n
find the closest numbers
4*1=4
4*0=0
4*-1=-4
4*-2=-8
now we figure out how to make these numbers into our terms of this sequence
4n-1
4*1-1=3
4*0-1=-1
4*-1-1=-3
4*-2-1=-9
so the nth term is 4n-1
What is the mean of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3
Answer:
2.75
Step-by-step explanation:
pls help with the question in the picture asap
The measure of DE is triangle ABE is similar to ACD is 9units
Similarity theorem of triangleFor triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.
From the given diagram;
AB/AE = AC/AD
20/15 = 32/15 + DE
Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9
Hence the measure of DE is triangle ABE is similar to ACD is 9units
Learn more on similar triangle here: https://brainly.com/question/2644832
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whats 1500x1500+(1/5- 2/6) divided by 28=?
Answer:
2249999.99524
Step-by-step explanation:
The answer would be 2249999.99524
Or just 224999
Sorry for the last answer!
Suppose that y varies inversely with x where x=4 and y=5. Solve for the constant
k and find the value of y when x=11
A cheetah runs at a speed of 58 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?
t = 58 + d
d = 58 + t
t = 58d
Answer:
I dont see a correct answer but
D= 58t
1. DC↔ means “ _____ DC”
A. line DC
B. ray DC
C. line segment DC
D. angle DC
2. ST→ means “_____ ST”
A. line ST
B. ray ST
C. angle ST
D. line segment ST
I’m just stuck
Please help
Answer:
y = 5x
Step-by-step explanation:
y = 5x
Where, y = amount of money library receives and x = number of books sold.
So if 1 book is sold, y = 5 (1) = 5, which means y =5 (this matches answer on row 1 which says 1 book sold makes 5 bucks.)
Can someone answer these 2 for me please ? :)
Answer:
1) B. (6,-3)
2) D. (-8,-2)
What would you have to show in order to prove that a quadrilateral is a rectangle?
A. Consecutive sides have opposite reciprocal slopes.
B. All sides are congruent.
C. Opposite sides are parallel.
D. Consecutive sides are congruent,
but opposite sides are not.
Answer:
A. Consecutive sides have opposite reciprocal slopes
Step-by-step explanation:
A rectangle is a special case of parallelogram, in which the diagonals bisect each other and are the same length, and all angles are right angles. In order to prove a quadrilateral is a rectangle, it can be shown to be a parallelogram, but one or the other of these additional characteristics must be proven.
__
A. Consecutive sides have opposite reciprocal slopes
Sides with opposite reciprocal slopes will be perpendicular. That is, the angle between them will be a right angle. If all pairs of consecutive sides meet at right angles, the figure must be a rectangle.
B. All sides are congruent
A rhombus is a quadrilateral in which all sides are congruent. It will only be a rectangle if the diagonals are the same length, or, equivalently, adjacent sides meet at right angles.
C. Opposite sides are parallel
A parallelogram will have opposite sides parallel. It will only be a rectangle if the diagonals are the same length, and/or adjacent sides meet at right angles.
D. Consecutive sides are congruent, opposite sides are not.
This seems a contradiction, as opposite sides are consecutive to the same side. (For example, sides AB and CD are both consecutive to side BC.) If we take this to mean that there are two pairs of consecutive congruent sides, then the figure may be a kite, but isn't necessarily a rectangle unless the other conditions are met.
_____
Additional comment
If sides are horizontal and vertical, the slope of the vertical sides is "undefined." It cannot be shown to be the opposite reciprocal of the slope of the horizontal sides.
Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.
Thank you so much
Answer:
C
Step-by-step explanation:
infinite numbers
pi
square root of 80
^all irrational
ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!
Answer:
3052.08
Step-by-step explanation:
Full‐me Ph.D. students receive an average of $12,837 per year. If the
average salaries are normally distributed with a standard deviation of $1500, find these
probabilities.
a. A student makes more than $15,000.
b. A group of 36 students makes between $13,000 and $14,000.
Answer:
.0022
Step-by-step explanation: