the figure shows a solid cube with dimensions 24 cm by 15 CM by 16 cm. A cylinder with a base radius of 4 cm and height of 7 cm is removed from the cuboid. find the area that will be covered in paint? (surface area)
Answer:
=2,133 3/7cm^2
Step-by-step explanation:
sides
15x16=240
240x2
=480cm^2
24×16=384
384×2= 768cm^2
768+480
a=1248cm^2
24x15=360cm^2
22/7x4x4
=50 2/7cm^2
360- 50 2/7
=354 5/7cm^2
(354 5/7)2
b=709 3/7cm^2
22/7x8x7
=22x8
c=176cm^2
a+b+c
1248+709 3/7+ 176
=2,133 3/7cm^2
Martin has a pencil case which contains 4 blue pens and 3 green pens. Martin picks a pen at random from the pencil case. He notes its colour, and then replaces it. He does this two more times. Work out the probability that when Martin takes three pens, exactly two are the same colour. (3 marks)
Answer: How do you not understand this?
I understand it perfectly.
Step-by-step explanation:
The probability that when Martin takes three pens, exactly two are the same color is 26.53%.
Probability
Given:
Blue pens=4
Green pens=3
Hence:
Probability=4³+3³÷(4+3)³
Probability=64+27/343
Probability=91/343
Probability=0.2653×100
Probability=25.53%
Therefore the probability that when Martin takes three pens, exactly two are the same color is 26.53%.
Learn more about probability here:https://brainly.com/question/24756209
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What is the slope of the line that passes through the points (−2,−4) and)(3,−9)? Write your answer in simplest form.
Answer:
The slope is -1
Step-by-step explanation:
Formula for finding slope: [tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1}[/tex]
we got the points:
(−2,−4) and)(3,−9)
let's plug them in.
[-9-(-4)] / [3-(-2)] =
-5 / 5 = -1
The price of a car has been reduced from $14,500 to $10,730. What is the percentage decrease of the price of the car?
Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.
Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then
lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.
Answer:
lines a and b must be parallel
Step-by-step explanation:
if lines a and b are parallel in plane r and q, then the lines must always be parallel.
Answer:
A
Step-by-step explanation:
on e2020
help me please i need help
stephen had 4 cupcakes. He ate 3/4 of one cupcake. How many does he have now?
Answer:
He has 3.25 ([tex]3\frac{1}{4}[/tex]) cupcakes left
Step-by-step explanation:
Stephen starts with 4 cupcakes
If he eats [tex]\frac{3}{4}[/tex] of 1 cupcake, he will have [tex]\frac{1}{4}[/tex] of said cupcake left
[tex]1-\frac{3}{4} =\frac{1}{4}[/tex]
Since he has 3 other cupcakes, we will add the remaining [tex]\frac{1}{4}[/tex] of the other cupcake to the total.
[tex]3+\frac{1}{4} =3\frac{1}{4}[/tex]
Hope this helped!
a rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the length, in feet, of the mat.
Then find the area, in square feet, of the mat.
❍ Concept :-
⠀
We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.
⠀
✱ Given Information :-
⠀
A rectangular mat with,
Perimeter = 36 ft. Length = twice the width⠀
✱ To Find :-
⠀
The dimensions of the matArea of the mat⠀
✱ Formula Used :-
⠀
[tex] \diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\ [/tex]
⠀
✱ Solution :-
⠀
Let the breadth of the mat be x, therefore,
Length = 2x⠀
Now, according to the question,
⠀
[tex] \sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\ [/tex]
Thus,
Length = 2x = 2 x 6 = 12 ft. Breadth = x = 6 ft.⠀
Now, we have to find out the area of the mat, thus,
⠀
[tex] \sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\ [/tex]
Thus, the area of the mat is 72 sq. ft.
⠀
[tex]\underline {\rule{221pt}{2.5pt}} \\ \\ [/tex]
Answer:
72 sq. feet
Step-by-step explanation
Since the perimeter is 36 feet and the length is 2w, you have to do the guess and check method.
I already did the guess and check method. So, here's how it became:
length =12
width=6
because 6x2=12 or 12 divide 2=6.
12 + 6 + 12 + 6.
12+6= 18. 12+6=18. 18+18=36 feet.
To find the area of a rectangle, you have to do L times W.
Which means 12x6.
12x6=72 sq. feet.
I hope this helps!!!
Can somebody please help me? I have dyscaluca and don't understand this
Answer:
man
Step-by-step explanation:
im sorry...you'll get it soon i swear
what is 43-3y=16 find the unknown?
Answer:
9
Step-by-step explanation:
We have to move -3y to by itself so we move 43 to the other side, when we do this 43 becomes negitive.
-3y = 16 - 43
-3y = -27
Now we divide -27 by -3
y = -27/-3
y = 9
[tex]\rightarrow\sf{y \:=\: 9}[/tex]
Solution:-[tex]\rightarrow\sf{43 - 3y\: = \:16}[/tex]
[tex]\rightarrow\sf{-3y\: = \:16-43}[/tex]
[tex]\rightarrow\sf{-3y\: = \:-27}[/tex]
[tex]\rightarrow\sf{3y \:= \:27}[/tex]
[tex]\rightarrow\sf{y\: = \:\frac{27}{3}}[/tex]
[tex]\rightarrow\sf{y \:= \:9}[/tex]
Therefore, value of unknown y = 9.
_________________________________
Hope it helps you:)
The diameter of a circle is 30 ft. Find its area to the nearest whole number.
Answer:
[tex]\displaystyle 707\:ft.^2[/tex]
Step-by-step explanation:
Split the diametre in half before proceeding:
[tex]\displaystyle \pi{r}^2 = A \\ \\ 15^2\pi = A \hookrightarrow 225\pi = A \hookrightarrow 706,85834706... = A \\ \\ \boxed{707 \approx A}[/tex]
I am joyous to assist you at any time.
pls help ill give a hundred points. select the correct answer from the drop down menu A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)
A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)
Answer↷(5,-2)
Solution ↷we know that,
the midpoint of the diagonals of a rectangle bisect each other,
so,
MP of AC = MP of BD[tex] \huge \rightarrow \frac{x + 1}{2},\frac{y+ 3}{2} = \frac{5 + 1}{2},\frac{3 - 2}{2} \\ [/tex]
[tex] \huge \rightarrow \: x = 5 \: \\ \huge \rightarrow \: y = - 2[/tex]
Answer:
(5,-2)
Step-by-step explanation:
Cause me smart
A sample of size 38 has s = 15.5 and yields this confidence interval for the mean:
(304.67, 322.48). What's the t* for this confidence interval?
6.29
3.14
2.514
2.026
3.542
Answer:
6338.7
Step-by-step explanation:
A flower pot is approximately in the shape off a cylinder. The diameter is 10 inches and the height is 6 inches. Find the surface area off the flower pot round to the nearest inch
The surface area of the cylindrical flower pot to the nearest inch is equal to [tex]346\;in^2[/tex]
Given the following data:
Diameter = 10 inches.
Height = 6 inches.
Radius = [tex]\frac{diameter}{2} =\frac{10}{2}[/tex] = 5 inches.
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]S.A = 2\pi (5)(6) + 2\pi (5)^2\\\\S.A =188.52+157.1 \\\\S.A = 345.62\\\\S.A=346\;in^2[/tex]
Read more on surface area here: brainly.com/question/21367171
Are my answers correct?
Answer:
Yes they are both correct.
Step-by-step explanation:
yes they are both correct.
Name a value for x that will make the statement true.
x<-4
Answer:
-5
Step-by-step explanation:
-5 is less than -4, and -4 is greater than -5.
Negative numbers become smaller to the left on the number scale.
There are infinite possible answers to this. :)
Answer:
-5
Step-by-step explanation:
-5 is less than -4 and -4 is bigger than -5
i need help this is really hard i still dont understand plss help
Answer:
(b) 64 sq. in.
Step-by-step explanation:
The shaded area is the difference between the overall area and the areas of the cutout corners.
The overall area is 10 in by 10 in, so is ...
A = s² = (10 in)² = 100 in²
The area of the cutout at each of the four corners is ...
A = s² = (3 in)² = 9 in²
So, the total area of the four cutouts is ...
cutout area = 4 × 9 in² = 36 in²
The remaining area is then ...
100 in² -36 in² = 64 in²
very easy math do you know whats the answer?
3 is less than w , 7 is greater than or equal to w
[tex]3 < w \\ 7 \geqslant w[/tex]
Answer:
3 < w = 7 ≥ w
Step-by-step explanation:
Less than= "<"
Greater than or equal to = ≥
4) Aníka grows vegetables and sells them at a farm stand. She gives a discount to local restaurants.
The table shows the restaurant's price,p. Of buying vegetables with a regular price of r dollars.
Regular price in dollars (r)
40
45
50
55
Restaurant's price in dollars (p)
32
37
42
47
• Write an equation that represents the relationship.
С
응
р
8
Answer:
p = r-8
Step-by-step explanation:
40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants
The table shows the speeds of the four fastest drivers in a car race.
Driver
Speed (miles per hour)
Marco
224.362
Finn
224.136
Will
224.48
Liz
224.392
Did Marco win this week's race? Use words and numbers to justify your answer.
Answer:
14
Marco only got 2nd place
Step-by-step explanation:
Chloe has a part-time job at an ice skating rink selling hot cocoa. She decided to plot
the number of hot cocoas she sold relative to the day's high temperature and then
draw the line of best fit. What does the line's y-intercept represent?
Answer: a prediction of the number of hot cocoas sold when the temperature is 0F
Step-by-step explanation: i did it on delta math
The line's y-intercept represent ''Number of hot cocoas sold''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Chloe has a part-time job at an ice skating rink selling hot cocoa.
She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.
Now,
Since, She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.
Hence, By the graph we have;
The line's x - intercept represent ''Temperature''.
And, The line's y-intercept represent ''Number of hot cocoas sold''.
Thus, The line's y-intercept represent ''Number of hot cocoas sold''.
Learn more about the mathematical expression visit:
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The cylinder shown has a volume of 733 cubic inches.
a. What is the radius of the cylinder?
The radius of the cylinder is ?
(Round to the nearest tenth if needed)
Answer:
Your answer is 4.72
Use the formula:V=πr2h
Find x y and z.
please give answer as fast as possible to get marked BRAINLIEST
Answer:
X = 64
Y = 18
Z = 98
Step-by-step explanation:
Angles on a straight line always add up to 180 Degrees
Vertical Opposite Angles are equal to each other
X = 64
Y = 18
Z = 180 - 64 - 18 = 98
(2x-7)-(4x^2+6x-3)+(x^2+4)
Answer:
[tex]-3x^2-4x[/tex]
Step-by-step explanation:
Simplify:
[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]
[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]
Group same factor:
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]
Add :
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]
Apply the distributive law: -(a+b) = -a - b
[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]
[tex]=-4x^2-6x+3+x^2+2x-3[/tex]
Group same factor:
[tex]=-4x^2+x^2-6x+2x+3-3[/tex]
Subtract:
[tex]=-4x^2+x^2-6x+2x[/tex]
Add:
[tex]=-3x^2-6x+2x[/tex]
Group same factor:
[tex]=-3x^2-4x[/tex]
Hence answer = [tex]-3x^2-4x[/tex]
~lenvy~
A ball is placed in a machine that throws the ball up in the air. The table represents some points on a graph of a function that models the ball’s distance from the ground with respect to the time since the ball was thrown. What is the range for this situation?
By analyzing the table we conclude that the range is the set R : [0, 7.66] so the correct option is the last one.
What is the range in the situation?For a relation y = f(x), we define the range as the possible values of y.
In this case, y represents the height that the ball takes, in the table, we can see that it starts at 0, then in reaches a maximum value of 7.66, and then it decreases again until it reaches the zero again when the ball returns to the ground.
Then y can take all the values between 0 and 7.66, meaning that the range is:
R : [0, 7.66]
Then the correct option is the last one.
If you want to learn more about range, you can read:
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1/3 (3x)(2x-5)(2x-5)=125
Answer:
the answer is shown below
Step-by-step explanation:
hope this helps
have an awesome day -TJ
Find the first three terms the described arithmetic series:
n=8
an= 36
a1=-6
Sn=120
suppose that you are offered a job that pays you $2000 the first month with a raise every month after that. you can choose a 400$ raise or a 15% raise. which option would you choose? what if the raise were 10%,8% or 5%
Answer:
I would choose the $400 raise
Step-by-step explanation:
Well 15% of 2000 would be $300 dollar raise so i would choose the $400 dollar raise instead of the $300 raise because I get more money.
If it was a 10% raise you would get $200 dollar raise
If it was 8% raise you would get $160 dollar raise
And if it was a 5% raise you would get a $100 dollar raise
can someone explain this to me thank u :)
Answer:
1/4
Step-by-step explanation:
It is really weird that this answer is not on there but here is my explanation.
We can consider this question in two different ways.
First, we could list the possible outcomes.
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
In total 8 possibilities, 2 of which are either all heads or all tails. So the probability is 2/8 which is 1/4.
Alternatively, we could look at each of the three independent events in turn.
We toss the first coin. We don’t mind whether it lands head or tail, but we need to note the result. The probability of getting any result is 1.
We toss the second coin and there is a probability of 1/2 that the result matches the first toss.
We now toss the third coin and again there is a probability of 1/2 that the result matches the first toss.
So the probability of getting all heads or all tails is the probability of getting any result from the first toss (1) multiplied by the probability of a matching result for the second toss (1/2) multiplied by the probability of a matching result for the third toss (1/2).
So that’s 1 * (1/2) * (1/2), which is 1/4.
The correlation between two scores X and Y equals 0.75. If both scores were converted to Z-scores, then the correlation between the z-scores
for X and z-scores for Y would be
-0.75
0.25
-0.25
0.0
0.75
Answer:
(e) 0.75
Step-by-step explanation:
The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.
The correlation coefficient of the z-scores is 0.75.