Answers
Answer:
small prism: 630 m²large prism: 2520 m²Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
small prism: 630 m²large prism: 2520 m²Related Questions
8. The number of T-shirt sales for a new online store increases by a factor of 3
each month. The function f(x) = 3x
represents the number of T-shirts sold in
month x.
a. What is f(5)?
b. When does the store sell 81 T-shirts?
Answers
Answer:
A= 243
B=4
Its because its multiplying itself 5 times for A. And doing it 4 times for B
I think this is correct (I am only in Middle School...)
Step-by-step explanation:
(a) The number of T-shirts sold in the 5th month is 15. (b) The store sells 81 T-shirts in the 27th month.
a. To find f(5), we need to plug x = 5 into the function f(x) = 3x:
f(5) = 3 × 5 = 15
So, the number of T-shirts sold in the 5th month is 15.
b. To find when the store sells 81 T-shirts, we need to solve the equation f(x) = 81:
f(x) = 3x = 81
Now, solve for x:
3x = 81
Divide both sides by 3:
x = 81 / 3
x = 27
So, the store sells 81 T-shirts in the 27th month.
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Define curvature and state it's formula
Answers
Answer:
I am not sure what the formula is, so I apologize for that.
The curvature is the amount by which a curve deviates from being a straight line, or a surface deviates from being a plane.
Step-by-step explanation:
I'm walking and walking
Answers
Answer:
Chicken feed
Step-by-step explanation:
Chicken feed: .70
Goat feed: .80
Dog feed: .75
Pig feed: .79
Answer:
Goat Feed
Step-by-step explanation:
Chicken- 1.40
Goat- 1.25
Dog- 1.33
Pig- 1.265823
6/15 of a ton of wood is to be split between 8 decks evenly. How much wood will be used for each deck?
Answers
Answer:
1/16 tons of wood per deck
Step-by-step explanation:
6/15 ÷ 8
6/15 × 1/8 (Keep Change Flip)
6/96 = 1/16
Look at the table of values below.
х
у
1
-1
2
-3
3
-5
4
-7
Which equation is represented by the table?
O A. y=1 - 2x
OB. y=-x-1
OC. y = x - 2
OD. y=2x-1
Answers
The equation is represented by the table is y= 4x - 1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the table
x y
1 3
-1 -5
2 4
-3 -7
Now, using the above table we can write the equation
(y - 3) = (-5-3)/ (-1-1) (x- 1)
y - 3 = (-8) / (-2) (x -1)
y - 3 = 4 (x - 1)
y - 3 = 4x - 4
y = 4x - 4 +3
y= 4x - 1
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What is 8x-7-2x-2 simplified
Answers
Answer:
6x-9
Step-by-step explanation:
Answer:
6x - 9
hope this helped!! :D
(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?
Answers
Answer:
9, 54=6r
Step-by-step explanation:
54/6=9 rocks
54=6r
HELP ME FIND THE Y-INTERCEPT
Answers
Answer:
0
Step-by-step explanation:
A survey showed that 72% of
teens bought new athletic shoes for the
new school year. Based on that survey,
how many teens in a group of 225 bought
new athletic shoes for the new school
year?
Answers
Answer:
162
Step-by-step explanation:
225 x 0.72 = 162
a jeweler makes a necklace using red and blue beads. The jeweler has 24 red beads and 36 blue beads. What is the greatest number of identical bracelets the jeweler if all beads are used?
Answers
Answer:
60
Step-by-step explanation:
24+36
20+30=50
4+6=10
50+10=60
which of the following best describes rotational symmetry
Answers
Answer: B
Step-by-step explanation:
A best describes the quality of symmetry, not specifically rotational symmetry.
C applies to that of A.
D applies to flipping an image across an axis.
B specifically outlines the symmetry of an object when rotated, thus B would be the most precise answer.
Can someone help me please
Answers
Answer:
7920
Step-by-step explanation:
all you have to do is just multiply the the feet in a mile by how any miles there are so basically
=> 1.5 * 5280 = 7920
Answer:
7,920 ft
Step-by-step explanation:
1.5 miles
1 mile = 5,280 feet
1.5 × 5,280 = 7,920 ft
or
5,280 ÷ 2 = 2,640
2,640 + 5,280 = 7,920 ft
Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering
Answers
Answer:
The required equation will be:
200 = 3n + 60Step-by-step explanation:
We know the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation
Let 'n' represents the number of students (n).Let 'c' represents the cost budget.Given that Bea's catering charges $3 per person.
Thus, the slope or rate of change = m = 3 dollars per personGiven that the clean-up fee to cater banquets = $60
In other words, $60 is the initial condition or y-intercept.
Thus, the y-intercept b = 60Given that the cost budget = c = $200
Thus, the equation becomes
c = mn+b
substituting c = 200, m = rate of cgange = 3, b = 60
200 = 3n + 60 ∵ comparing with y = mx+b
Thus, the required equation will be:
200 = 3n + 60The equation that determines the no of students should be 200 = 3n + 60
Equation need to be used:Here we assume n be the number of students
And, c be the the cost budget.
So, we know the equation should be formed by applying the following expression
c = mn+b
Here c = 200, m = r = 3, b = 60
Therefore, the equation is 200 = 3n + 60
Hence, The equation that determines the no of students should be 200 = 3n + 60
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For a recent evening at a small, old-fashioned movie theater, 35% of the moviegoers were female and 65% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film: 70% of the females attended the romantic comedy. Among the male moviegoers, the romantic comedy also was more popular: 60% of the males attended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and ¯F denote the event that a randomly chosen moviegoer was male. Let R denote the event that a randomly chosen moviegoer attended the romantic comedy and ¯R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities below, and then answer the question that follows. Do not round any of your responses
P(F)=0.35
P(F and R)=
P(F and ¯R)=
P(¯R|F)=
P(R|¯F)=0.60
P(¯F and R)=
P(¯F and ¯R)=
P(¯F)=
What is the probability that a randomly chosen moviegoer attended the romantic comedy?
Answers
Answer:
[tex]P(F\ and\ R) = 0.21[/tex]
[tex]P(F\ and\ R^{-}) = 0.14[/tex]
[tex]P(R^{-}|F)= 0.40[/tex]
[tex]P(F^{-} and\ R) = 0.39[/tex]
[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]
[tex]P(F^{-}) =0.65[/tex]
Step-by-step explanation:
The variables have been defined in the question as:
[tex]F = Female\ Moviegoer[/tex]
[tex]F^{'} = Male\ Moviegoer[/tex]
[tex]R = Romantic\ Comedy[/tex]
[tex]R^{'} = War\ File[/tex]
Also, we have the following given parameters:
[tex]P(F) = 0.35[/tex]
[tex]P(F^{-}) =0.65[/tex]
[tex]P(R) =0.60[/tex]
[tex]P(R^{-}) = 0.40[/tex]
The solution is as follows:
[tex]a.\ P(F\ and\ R)[/tex]
[tex]P(F\ and\ R) = P(F) * P(R)[/tex]
Substitute values for P(F) and P(R)
[tex]P(F\ and\ R) = 0.35 * 0.60[/tex]
[tex]P(F\ and\ R) = 0.21[/tex]
[tex]b.\ P(F\ and\ R^{-})[/tex]
[tex]P(F\ and\ R^{-}) = P(F) * P(R^{-})[/tex]
Substitute values for P(F) and P(R-)
[tex]P(F\ and\ R^{-}) = 0.35 * 0.40[/tex]
[tex]P(F\ and\ R^{-}) = 0.14[/tex]
[tex]c.\ P(R^{-}|F)[/tex]
[tex]P(R^{-}|F)=\frac{P(R^{-}\ and\ F)}{P(F)}[/tex]
[tex]P(R^{-}|F)=\frac{P(R^{-})\ *\ P(F)}{P(F)}[/tex]
Substitute values for P(F) and P(R-)
[tex]P(R^{-}|F)=\frac{0.40 * 0.35}{0.35}[/tex]
[tex]P(R^{-}|F)= 0.40[/tex]
This implies that both events are independent
[tex]d.\ P(F^{-} and\ R)[/tex]
[tex]P(F^{-} and\ R) = P(F^{-}) * P(R)[/tex]
Substitute values for P(F-) and P(R)
[tex]P(F^{-} and\ R) = 0.65 * 0.60[/tex]
[tex]P(F^{-} and\ R) = 0.39[/tex]
[tex]e.\ P(F^{-}\ and\ R^{-})[/tex]
[tex]P(F^{-}\ and\ R^{-}) =P(F^{-}) * P(R^{-})[/tex]
Substitute values for P(F-) and P(R-)
[tex]P(F^{-}\ and\ R^{-}) =0.65 * 0.40[/tex]
[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]
[tex]f.\ P(F^{-})[/tex]
[tex]P(F^{-}) =0.65[/tex] --- Given
Solve the system of equations y=x^2-3x+2
y=-9x-3
Answers
Point Form:
(3, 0)
Equation Form:
x = 3, y = 0
What is the error in: -6/7 + -1/2 = -12/14 + -7/14 = -19/28 and how do you fix it?
Answers
Answer:
DRFHDFG
Step-by-step explanation:
6=6+4
_______________________
Answers
Answer:
C.
Step-by-step explanation:
question below thanks
Answers
Answer:
x = 11
Step-by-step explanation:
Based on the two secants intersecting theorem, thus, we have:
(x + 5)*5 = (38 + 2)2
5x + 25 = (40)2
5x + 25 = 80
5x = 80 - 25 (subtraction property of equality)
5x = 55
Divide both sides by 5
x = 11
I NEED HELP PLEASE Thank youuuu
Answers
Answer:
number 8 is b
Step-by-step explanation:
Distance Formula
[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^2 }[/tex]
(-2,-3) (2,1) Midpoint (2,1)
[tex]d = \sqrt{(2--2)^2 + (1--3)^2} \\\\d = \sqrt{(4)^2 + (4)^2\\} \\\\d = \sqrt{ 32}\\\\d = 5.7\\[/tex]
Then find the slope.
1- - 3 / 2 - -2 = 4/4 = 1
(or use an online graphing calculator)
The Points are (6,5)
Perform the indicated operation.
1 1/7x 2 4/5
Answers
Answer: The answer would be 3.2
22.00+27.51+21.33+22.95=
please show me how you got that answer
asap plz help 50 points
Answers
Answer:
93.79
Step-by-step explanation:
22.00 + 21.33 = 43.33
22.95 + 27.51 = 50.46
43.33 + 50.46 = 93.79
8 मी० लम्बी, 6. मी० ऊची तथा 22.5 सेमी० मोटी दीवार
बनाने हेतु कितनी ईंटें चाहिए, जबकि एक ईंट का माप
25 सेमी. x 11.25 सेमी० x 6 सेमी०
सेमी०
(A) 640
(B) 1380
(C) 6400
(D) 7600
with process
Answers
Answer:
I think it might be D too
Step-by-step explanation:
Hope this helped have an amazing day!
can anyone please help. this is my last question!!!!
Answers
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the triangle proportionally.
The base segment to the right of the bisector is 6-x, so we can write the proportion ...
x/6 = (6-x)/4
Multiplying by 12, we get ...
2x = 3(6 -x)
5x = 18 . . . . . add 3x
x = 18/5 . . . . divide by 5
x = 3.6
_____
Alternate solution
Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:
left-part / sum-of-both-parts = x/6 = 6/(6+4)
Then the solution is x = 6(6/10) = 36/10 = 3.6.
Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."
Write the following in standard form: eight and twelve thousandths.
Answers
Answer:
8.012
Step-by-step explanation:
standard : 8.012
written: eight and twelve thousandths.
Tamara draws a tile from a bag and records the results. The bag contains tiles labeled with the letters, W, A, T, E, R, M, E, L, O, and N. Based on this information, which statement is true?
Answers
Answer:
These are the statements. I need help to
Step-by-step explanation:
She is 1.5 times less likely to draw a vowel than a consonant.
She is 1.5 times more likely to draw a vowel than a consonant.
She is twice as likely to draw a consonant as a vowel.
Drawing a vowel and a consonant are equal likely.
please answer these questions
Answers
Step-by-step explanation:
you need to multiple first by second
The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the answer to two decimal places.
Answers
Answer:
14.66 inches
Step-by-step explanation:
Calculation for How far does the tip of the minute hand move in 35 minutes
The tip of a minute hand will always travels at 360 degrees in an hour ( 60 minutes)
Hence, the tip of the minute hand
distance will be calculated using this formula
Circumference of a circle=2*π*Radius* Clock Tip hand movement/Number of minutes per hour
Let plug in the formula
Circumference of a circle==2*π*4 inches*35 minutes/60 minutes
Circumference of a circle= =2*π*4 inches*0.58333
Circumference of a circle==14.659 inches
Circumference of a circle==14.66 inches (Approximately)
Therefore How far does the tip of the minute hand move in 35 minutes will be 14.58 inches
The measures of the angels of a triangle are show. In the figure below solve for x
Answers
Answer:
54
Step-by-step explanation:
90+36= 126
180-126= 54
An author writes 9 pages of her book each week. How many pages does she write in 7 weeks? Use a five fact to solve.
Answers
Answer: she writes 63 pages in 7 weeks.
Step-by-step explanation: simple answer you just multiply 9x7=63!
hope this helped.
The number of pages she write in 7 weeks is 63 pages
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Number of pages she write in a week = 9 pages
Number of weeks she writes = 7 weeks
So , to calculate the number of pages she write in 7 weeks =
Number of pages she write in a week × Number of weeks she writes
Number of pages she write in 7 weeks = 9 × 7
= 63 pages
Hence , the number of pages she write in 7 weeks is 63 pages
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The question is below the screen
Answers
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The square of the length of the tangent segment is equal to the product of lengths from the external common point to the two circle intersections of the secant.
x^2 = (2)(70+2)
x^2 = 144
x = √144
x = 12