Find the total surface area of the
following prism:
5 cm
4/cm
5 cm
8 cm
6 cm
SA = [ ? 1 cm2
please helppp, ill mark brainlist
Answers
Answer:
The total surface area of the given prism is 152 square centimeters.
Step-by-step explanation:
The total surface area is given by:
[tex]A_{T} = 2A_{t} + 2A_{r_{l}} + A_{r_{b}}[/tex]
Where:
[tex]A_{t}[/tex]: is the area of the triangle of the prism (it has 2 triangles)
[tex]A_{r_{l}}[/tex]: is the area of the lateral rectangle of the prism (it has 2)
[tex]A_{r_{b}}[/tex]: is the area of the rectangle base of the prism (it has 1)
The area of the triangle is:
[tex] A_{t} = \frac{bh}{2} [/tex]
Where:
b: is the triangle base = 6 cm
h: is the traingle height = 4 cm
[tex] A_{t} = \frac{bh}{2} = \frac{6 cm*4 cm}{2} = 12 cm^{2} [/tex]
The area of the lateral rectangle of the prism is:
[tex] A_{r_{l}} = x*y = 8 cm*5 cm = 40 cm^{2} [/tex]
Now, the area of the rectangle base is:
[tex] A_{r_{b}} = x*b = 8 cm*6 cm = 48 cm^{2} [/tex]
Finally, the total surface area is:
[tex]A_{T} = 2A_{t} + 2A_{r_{l}} + A_{r_{b}} = 2*12 + 2*40 + 48 = 152 cm^{2}[/tex]
Therefore, the total surface area of the given prism is 152 square centimeters.
I hope it helps you!
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What is the answer to a triangle translation where A is (1,4), B is (2,-2) and C is (-3,2) What is the Answer to A
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Question:
A translation is applied to the triangle where A(1, 4) , B(2, -2) , and C(-3, 2). The image is the triangle that has vertices A′(5, 4) , B′(6, -2) , and C′(1, 2).
Answer:
[tex](x,y) ==>[/tex] [tex](x + 4,y)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,4)\\B = (2,-2)\\C = (-3,2)[/tex]
[tex]A' = (5,4)\\B' = (6,-2)\\C' = (1,2)[/tex]
From the translation of triangle ABC to A'B'C',
It will be observed that the y coordinates of both triangle remain unchanged.
This implies that triangle ABC is translated on the x coordinates alone.
Considering the x coordinates of A and A', we have:
[tex]1 + k = 5[/tex]
Make k the subject
[tex]k = 5 - 1[/tex]
[tex]k = 4[/tex]
When 4 is added to the x coordinates of B and C, it gives the x coordinates of B' and C'.
Hence, the rule of translation is:
[tex](x,y) ==>[/tex] [tex](x + 4,y)[/tex]
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Answer:
y=x+1 with slope of 1 and y-intercept of 1.
Step-by-step explanation:
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Step-by-step explanation:
In AVWX, mZV =
Find mZW.
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Answers
Answer: XVW=36
Step-by-step explanation:
The external angle of triangle is equal to the sum of the 2 opposite interior angles.
WXY is an external angle to the triangle and
XVW and VWX are the 2 opposite interior angles, thus
6x - 19 = +17+ 3x+2, that is
6x- 19 =4x +19 (Subtract 4x from both sides)
2x - 19 =19 (add 19 to both sides by 2)
x = 19
Hence
XVW = x + 17 = 19 + 17 = 36
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Answer:
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Answers
Answer:
T = [tex]\frac{2}{5} * S^2[/tex]
Step-by-step explanation:
For examining an area of 5 square meter, time take in 2 min
1 square meter of area can be examined in [tex]\frac{2}{5}[/tex] mins
s^2 square meter of area can be examined in [tex]\frac{2}{5} * S^2[/tex] mins
Thus, the formula for the time T in minutes required to survey a square section of the sea fl oor with sides that are s meters long is
T = [tex]\frac{2}{5} * S^2[/tex]
Simplify the expression (8t)^4
Answers
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What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2
Answers
Answer:
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Step-by-step explanation:
Subtract x² + xy + y² from 3x² - 4xy - y² to obtain the expression to be added
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HELP ASAP!! DUE IN 5 MINS AND WILL MARK BRAINLIEST!!!
3 attached
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Answer:
We need help with the same thing girl/boy!!
Step-by-step explanation:
Answer:
10,13,12
Step-by-step explanation:
Select the correct answer.
Select the place where the digit 6 sits in this number.
7,614,118,872
A.
hundred millions
B.
hundred billions
C.
one thousands
D.
hundred thousands
E.
ten billions
F.
one billions
Answers
Answer:
A. Hundred millions.
Step-by-step explanation:
Growing up, the easiest method I've found in terms of finding which place a number is is as follows: change the number you're looking for into a 1, change everything after it into a 0, drop everything before it, and ask yourself what that number is. That may seem a little odd, but here's some examples.
Let's say we have the number 91,582. We want to figure out what place the 5 is in. First, let's change the 5 into a 1, like so: 91,182. Next, we'll change all the numbers afterwards into 0s, like so: 91,100. Finally, we'll drop every number before the 1, leaving us with 100. Now, ask yourself what that number is. It's one hundred. That means that the 5 is in the one hundreds place.
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
A) X=3
Step-by-step explanation:
If x=y then x is the same value as y.
So if y=3, the x must also equal 3.
Leo’s dad brought home some bagels and muffins. Each bagel cost $0.90 and each muffin cost $0.80. Altogether he brought home 9 items for a total cost of $7.60.
Answers
Answer:
Leo's dad bought 4 bagels and 5 muffins.
Step-by-step explanation:
The total cost was 7.60, and had 9 items. I figured that the solution of (__ x 0.9) needed to end with 60 cents.
4 x 0.9 = 3.6
5 x 0.8 = 4.0
3.6 + 4.0 = 7.60.
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Can anyone pls help me with this ?
Answers
Answer:
w = 5
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3 x w will mean multiplication so you always want to do the opposite. First you want to get rid of known numbers such as the 3, to do that you will need to divide 3 from both sides! (As I had said use the opposite of the operations shown). 3 from 3 is obviously going to be 0 because your getting rid of the three, and 15 divided by 3 is 5! So therefore, you will be left with w = 5.
Answer:
w = 5
Step-by-step explanation:
15/3 = 5 or 3 x 5 = 15
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Answers
Answer:
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Step-by-step explanation:
2x + 6 = 6x - 4
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Suppose you always eat a particular brand of cookies out of the standard sized package it comes in from the store. You notice that when you eat 3 at a time, there's always 1 cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always 1 cookie left over. Since it really isn't helpful to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover. If you know there are less than 100 cookies in the package, how many cookies are there?
Answers
Answer:
There are 91 cookies in the package of cookies
Step-by-step explanation:
The given parameter for the number of cookies are;
The number of cookies left when eating 3 at a time = 1 cookie
The number of cookies left when eating 5 at a time = 1 cookie
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Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;
The number of cookies in the pack, n < 100
Therefore, we have;
3·a = n - 1
5·b = n - 1
7·c = n
∴ n - 1 is a multiples of 3 and 5 less than 100 which are;
15, 30, 45, 60, 75, and 90
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n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91
Multiples of 7 includes;
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The number of cookies in a package = 91 cookies
If f(x) = 2x^3 – 5x^2 + 5, then what is the remainder when f(x) is divided by
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Answers
Answer:
Step-by-step explanation:
(2x³-5x²+5) ÷ (x+2) = 2x²-9x+18 R -31
well I have to find area but like I'm confused how too, it's also mixed shapes that's where I'm confused
Answers
Answer:
Area for circle is Pr²
say 13 in from side of circle to other side, cut it in half so its going to be 6.5.Now multiply 3.141 x 6.5² and that is the area. For square multiply the length x width and the same for rectangle length x width.
Jai bought 2 pounds of grapes for $2.49 per pound and 3 muffins for $ .75 per muffin. How much did he pay for the grapes and muffins?
Answers
Answer:
$7.23
Step-by-step explanation:
(2 x 2.49) + (3 x .75) = 4.98 + 2.25 = $7.23
a) josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:4, she needs to make 49 litres of punch for a party. how much of each ingredient does she need (in lires)
b) During the party josie decides tio make some more. she has 15 litres of fruit juce left and plenty of lemonade. how much extra punch can she make? (answer in letres)
c) to make the second batch of punch go further josie adds 4 more lires of lemonade. what is the ratio of fruit juice and lemonade in the second batch? (answer in ratios e.g 5:9)
Answers
Answer:
1. Josie needs 21 litres of fruit juice need 28 litres of lemonade.
2. Josie can make an extra of 35 litres of punch.
3. 5:8
Step-by-step explanation:
a) The ratio of the fruit juice to lemonade = 3:4
Total litres of punch to be made = 49
Amount of fruit juice needed = [tex]\frac{3}{7}[/tex] x 49
= 21 litres
Amount of lemonade needed = [tex]\frac{4}{7}[/tex] x 49
= 28 litres
Thus, she would need 21 litres of fruit juice need 28 litres of lemonade.
b) She has 15 litres of fruit juice left. Let the litres of punch to be made be represented by s.
[tex]\frac{3}{7}[/tex] x s = 15
s = 35
Josie can make an extra of 35 litres of punch.
c) For the second batch, she needs;
15 litres of fruit juice needs 20 litres of lemonade.
But adding 4 more litres to the lemonade makes the total litres of lemonade to be 24.
Thus the ratio of the juice to lemonade = 15:24
= 5:8
4 markers cost $7.04.
Which equation would help determine the cost of 7 markers?
Answers
Answer:
(7.04 / 4 = x) then x * 7
Step-by-step explanation:
x= 12.32
Five times a number is 30?
Answers
Answer:
oh 5 x 6 = 30
Step-by-step explanation:
Hope this is helpful! Have an amazing night or day!
5x1=10
5x2=10
5x3=15
5x4=20
5x5=25
5x6=30
5x7=35
5x8=40
5x9=45
5x10=50
PLS HELP ASAP! HURRY, GIVING BRAINLY!