Which equation can be used to calculate the surface area of the triangular prism net show below? The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters. [Not drawn to scale] Surface Area = (one-half) (5) (12) (5) (10) (12) (10) (13) (10) Surface Area = (one-half) (5) (13) (one-half) (5) (13) (13) (10) (12) (10) Surface Area = (2) (5) (13) (5) (10) (13) (10) (12) (10) Surface Area = (one-half) (5) (12) (one-half) (5) (12) (5) (10) (12) (10) (13) (10).
Answers
The [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex] equation can be used to calculate the surface area of the triangular prism.
It is given that the triangular prism net showing in the figure with dimensions.
It is required to find which equation can be used to find the surface area of the triangular prism net.
What is surface area?It is defined as the area of 3-dimensional geometry surfaces area sum which is occupying the outer area of the object.
We know the area of a rectangle = length × width
Area of the top rectangle = 13×10
Area of the middle rectangle = 12×10
Area of bottom rectangle= 5×10
The formula for finding the area of a triangle:
[tex]\rm A=\frac{1}{2} \times bh[/tex]
Area of right triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]
Area of left triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]
The surface area = Area of top+ Area of middle+ Area of bottom+ Area of
a right triangle+ Area of the left triangle
[tex]=13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]
Thus, the [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex] equation can be used to calculate the surface area of the triangular prism.
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Related Questions
help please A.) runner a
b.) runner b
C.) runner c
Answers
Answer:
Runner A is more consistent as all of the dots are close to the line unlike Runner B or C
1. give each solid a geometric name. be as precise as you can
а
b
с
Answers
The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.
What is a geometric name?Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.
A geometric name is the name that is given to a shape. In this case, examples include triangle, circle, square, rectangle, pentagon, etc.
Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc
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write the equation of the blue line using slope intercept form (y=mx+b)
Answers
Answer:
Step-by-step explanation:
X1=-4
Y1=7
X2=-3
Y2=6
(-2,0 ) X INTERCEPT
(0,-7)Y INTERCEPT OR B
M=6-7/-3+4
M=_1
Y=-1X+-7
How can you decompose the composite figure to determine its area? as two semicircles and a rectangle as two circles and a rectangle as a circle and a square as two semicircles and a trapezoid.
Answers
The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
The area of a composite figure can be decomposed to smaller figures so as to find the area.
The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.
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Answer:
A. as two semicircles and a rectangle
Step-by-step explanation:
i did it
Fill in the missing pieces to solve for x:
Answers
Answer:
A: (x-4) squared
B: x+2
C: 9
D: 14
E: 7
F: 2
Step-by-step explanation:
A: This is because x^2 - 8x + 16 factored is (x-4) squared
B: Square root of something squared will remove the square root
C: Minus the variable x and 2 from the right side
D: Factor
E/F: These numbers make the right side become zero
The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol)
Answers
Answer:
271.2 meters
Step-by-step explanation:
See attached image.
HELP ASAP
(will give brainliest)!
Answers
Answer:
42°
Step-by-step explanation:
∠NML = ∠ZYX =88°
Angles in a triangle add up to 180 so ∠ZXY =
180 - (50+88)
180-138
42
∠ZXY = 42°
determine if the expressions
are
7. 2 - 2 + 5x; 5x
Answers
What is the radical form of 32x 1/6 ?
Answers
Step-by-step explanation:
Given:
32^(1/6)
To Find:
Convert to Radical form 32^(1/6)?
Solution:
here, given that- 321/6
Since, we know that - If n is a positive integer
that x and a is a real number or a factor, then
an = Vu?
=
now, using this rule to convert 321/6 to a radical,
where a=32, x=1 and n=6
√32
Hence,
Exact form:
32
Decimal Form:
2
Is the quadratic equation y
= 5x² - 6x + 1 in standard form
or in vertex form? What is the vertex?
Answers
Answer:
In geometry, a vertex form is a point where two or more curves, lines, or edges meet.
Step-by-step explanation:
this equation is stander form
Last Thursday you bought a total of 33 school supply items. You spent $58 Pencils are $1.50 and glue sticks are $2 each. How many of each item did you buy? (5 pts)
Answers
Answer:
16 pencils and 17 glue sticks
Step-by-step explanation:
X=pencils
Y=glue sticks
X+Y=33
1.50X+2Y=58
times ten to get whole numbers
=15X+20Y=580
same for e1
=10X+10Y=330
15X+20Y=580
10X+10Y=330
elimination mthd
150X+200Y=5800
150X+150Y=4950
50Y= 850
Y=17
X+17=33
X=33-17
X=16
The circumference of a circle is 13 pi cm. What is the area, in square centimeters?
Express your answer in terms of Pi
Answers
Answer:
42.25π cm²
Step-by-step explanation:
To find the area of the circle, first find its radius.
Formulas needed
Circumference of circle= πD= 2πrArea of circle= πr²Given: circumference= 13π cm
2πr= 13π
Divide both sides by 2π:
[tex]r = \frac{13}{2} [/tex]
r= 6.5 cm
Now, we can find the area by substituting r= 6.5 into the area of circle formula.
Area of circle
= πr²
= π(6.5)²
= 42.25π cm²
Brainliest available
Find "X"
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: ({4}^{2}) \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{2}) }^{2} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{}) }^{4} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:2 {}^{4 + 9} = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4 + 9[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 13[/tex]
hence, value of x is 13
[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]
Answer:
x = 13
Step-by-step explanation:
[tex]\left(4^2\right)\left(2^9\right)=2^x[/tex]
[tex]\mathrm{multiply}[/tex]
[tex]4^2=16[/tex]
[tex]2^9=512[/tex]
[tex]16*512=8192[/tex]
[tex]8192=2^x[/tex]
[tex]\mathrm{Flip \;the \;equation}[/tex]
[tex]2x=8192[/tex]
[tex]log(2x)=log(8192)(Take \;log \;of\; both \;sides)[/tex]
[tex]x*(log(2))=log(8192)[/tex]
[tex]x=\frac{log(8192)}{log(2)}[/tex]
[tex]x=13[/tex]
[RevyBreeze]
What was the original cost of the jacket.
Answers
Answer:
(c) $80
Step-by-step explanation:
Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).
This means you can use any of the lines in the table to find the original price.
5% disount: (1 -5%)·p = $76 . . . . where p is the original price
p = $76/0.95 = $80 . . . . . . . the original price
10% discount: (1 -10%)·p = $72
p = $72/0.90 = $80
25% discount: (1 -25%)·p = $60
p = $60/0.75 = $80
_____
Additional comment
The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:
add back that 5% to the 5%-discounted price: $76 +4 = $80multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.A family has two children. if b represents a boy and g represents a girl, the set of outcomes for the possible genders of the children is s = {bb, bg, gb, gg}, with the oldest child listed first in each pair. let x represent the number of times g occurs. which of the following is the probability distribution, px(x)? a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.5, 0.25. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.33, 0.33, 0.33. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.75, 0. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0, 0.5, 0.5.
Answers
Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given to us that the possible genders of the children,
S = {BB, BG, GB, GG},
And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,
A.) The probability that there is no girl child born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]
B.) The probability that there is one girl child is born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]
C.) The probability that there is two girl child is born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]
The probability distribution of a girl child being born can be drawn as given below.
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Answer:A
Step-by-step explanation:
Steve is tossing a normal quarter. He tosses the quarter 20 times and it lands on heads 16 times. If Steve tosses the quarter again, what is the probability that it lands on tails? Input your answer in fraction form.
Answers
Answer:
1/5
Step-by-step explanation:
16 out of the 20 times landed on heads, making 4/20 times it landed on tails.
16 divided by 20 is .8 which turns into 80%
100% - 80% = 20%
To simplify into a fraction:
80/100 is equivalent to 4/5 when divided by 20, leaving 1/5 to complete the fraction which later totals to 100%
Answer:
the answer is 1/2
Step-by-step explanation:
i just did it
y=- 8x - 20
How do I graph this
Answers
Answer: Here, this should help ya out :
With graphing lines and slopes use desmos graphing calulator dont worry, its safe ;)
Answer:
See below ↓
Step-by-step explanation:
Step 1 : Mark the y-intercept.
b = -20Therefore, the y-intercept's coordinates are : (0, b)⇒ (0, -20)Step 2 : Draw the slope.
m = -8Therefore after marking the y-intercept you can either mark a point 8 spaces up, 1 to the left or mark a point 8 spaces down, 1 to the rightAfter doing this, join the two points using a ruler and draw a line Your graph is ready!It should look like this :Given triangle ABC is congruent to DEC find m
Answers
Answer:
angle d = 106
In Zoe's grade, there are 90 students. Currently, 90% of them are enrolled in health. How many students are enrolled in health?
Answers
Answer: 81
Step-by-step explanation:
90% is the same as 0.9
We can multiply .9 by 90 to see how many students are enrolled in health
0.9×90=81.0
Answer:
[tex]\huge\boxed{\sf 81\ students }[/tex]
Step-by-step explanation:
Total students = 90
Enrolled in health:
= 90 % of 90
[Key: "of" means "to multiply" and "%" means "out of hundred"]
[tex]\displaystyle = \frac{90}{100} \times 90\\\\= 9 \times 9\\\\= 81[/tex]
So, 81 students are enrolled in health.
[tex]\rule[225]{225}{2}[/tex]
Please help! Its due today!
Answers
Answer:
don't know if this is the right way butttt i'm going to give it a shot
Step-by-step explanation:
Cost: I'm guessing this is for the rent for the shoes or is the total cost?
Bowler World: 5 + 1.1g = c | c + 1.1g = t {(this is the other option) probs not correct}
Lucky Spares: 3 + 1.5g = c | c + 1.5g = t
K so personally you should choose option 1 (for example: 5 + 1.1g = c), i have no idea how the proper format is supposed to be
either i hope this helps :)
I tried this but couldn't figure it out I hope ya'll can but it's this
1/3x1/6
Answers
1/18
Step-by-step explanation:
[tex] \frac{1}{3} \times \frac{1}{6} = \frac{1}{18} [/tex]
Over what intervals is the average rate of change of f(x) = 5x greater than the average rate of change of g(x) = 25x? Select all that apply. A. 0 ≤ x ≤ 3 B. 0 ≤ x ≤ 2 C. 3 ≤ x ≤ 6 D. 1 ≤ x ≤ 2
Answers
The average rates of change of a function f(x) and g(x) are their slopes
The average rate of change of the function f(x) is always less than the average rate of change of the function g(x)
How to determine the average rate of change?The average rate of change of a function f(x) over the interval [a,b] is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
The average rates of change of the functions over the intervals are:
A. 0 ≤ x ≤ 3
[tex]m_1 = \frac{f(3) - f(0)}{3 - 0} = \frac{5 * 3 - 5 *0}{3 - 0} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(3) - g(0)}{3 - 0} = \frac{25 * 3 - 25 *0}{3 - 0} = 25[/tex] --- g(x)
B. 0 ≤ x ≤ 2
[tex]m_1 = \frac{f(2) - f(0)}{2 - 0} = \frac{5 * 2 - 5 *0}{2 - 0} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(2) - g(0)}{2 - 0} = \frac{25 * 2 - 25 *0}{2 - 0} = 25[/tex] --- g(x)
C. 3 ≤ x ≤ 6
[tex]m_1 = \frac{f(6) - f(3)}{6 - 3} = \frac{5 * 6 - 5 *3}{6 - 3} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(6) - g(3)}{6 - 3} = \frac{25 * 6 - 25 *3}{6 - 3} = 25[/tex] --- g(x)
D. 1 ≤ x ≤ 2
[tex]m_1 = \frac{f(2) - f(1)}{2 - 1} = \frac{5 * 2 - 5 *1}{2 - 1} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(2) - g(1)}{2 - 1} = \frac{25 * 2 - 25 *1}{2 - 1} = 25[/tex] --- g(x)
From the above computation, we can see that:
The average rate of change of the function f(x) = 5x is always less than the average rate of change of the function g(x) = 25x
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Diego invested $6,100 in a 9-month certificate of deposit paying 1.8% interest. How much interest did he earn form this investment?
Answers
Answer:
0.018
Step-by-step explanation
6,100,9a-mo,0.018
Complete the steps to solve the equation -18x - 17 = 107 write the original equation apply the addition property of equality
Answers
[tex]-\frac{62}{9}[/tex]
Step-by-step explanation:The properties of equality state that you are allowed to perform operations on an equation as long as the operations are done equally on both sides.
Solving the Equation
First, rewrite the equation
[tex]-18x - 17 = 107[/tex]Next, apply the addition property of equality and add 17 to both sides
[tex]-18x=124[/tex]Finally, apply the division property of equality and divide both sides by -18
[tex]x=\frac{124}{-18}[/tex]Then, simplify for the final answer (divide numerator and denominator by 2)
[tex]x=-\frac{62}{9}[/tex]Give the slope of y+2=3(x-7) and point on the line
Answers
Step-by-step explanation:
y+2=3(x-7)
y+2=3x-21
y=3x-21-2
y= 3x-23
Slope is 3
Answer:
Slope intercept form;
y = mx + b
Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.
We are given;
y + 2 =3(x - 7)
So we rearrange this into slope intercept form.
y + 2 = 3(x - 7)
Simplify:
y + 2 = 3x - 21
Apply inverse operation of addition (subtraction).
-2 -2
y = 3x - 23
x=? degrees
WHAT IS THE ANSWER
Answers
bc you add 61+ 90 are given then subtract from 180 so the opposite angle is 30 then it’s a line so you subtract 180-30 and get 150
Given the following geometric sequence, find the common ratio: {225, 45, 9, ...}.
1/5
-5
-1/5
5
Answers
Answer:
1/5
Step-by-step explanation:
a=225
45/225=1/5
The formula for GP is Tn=ar^n-1
3) Kristin's grandparents started a savings account for her when she was born. They invested $500 in an account that pays 8% interest compounded annually. Write an equation to model the amount of money in the account on Kristin's xth birthday. a. b. How much money is in the account on Kristin's 16th birthday? (Show how you got your answer!)
Answers
The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 8% per year compounded 1 times per year over 16 years is $1,712.97.
Compound interestGiven Data
Principal = $500Rate = 8%Time = 16 yearsA = P + I where
P (principal) = $500.00
I (interest) = $1,212.97
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 500.00(1 + 0.08/1)^(1)(16)
A = 500.00(1 + 0.08)6(16)
A = $1,712.97
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The sum of a number $x$ and 4 equals 12.
An equation that represents this sentence is
.
Answers
Answer:
(3 x 1) x 4 = 12
If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?
Answers
The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
Given that trigonometric ratio:
[tex]tan\theta = \frac{11}{60}[/tex]
What is the tangent of an angle?The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).
So, for the given problem
Opposite side to [tex]\theta[/tex] = 11
Adjacent side to [tex]\theta[/tex] = 60
So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]
[tex]cot\theta =\frac{60}{11}[/tex]
Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
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Answer:
60/11 is correct (option c)
Step-by-step explanation:
I just took the test