Answer:
Find the area of the two triangular bases:
Measure the base and height of one of the triangular bases.
Multiply the base by the height, and then divide the result by 2 to get the area.
Repeat this process for the other triangular base.
Find the perimeter of the triangular base:
Measure the three sides of the triangular base.
Add the three sides together to get the perimeter.
Find the lateral area of the prism:
Multiply the perimeter of the triangular base by the height of the prism.
Add the area of the two triangular bases and the lateral area of the prism to get the total surface area.
Here is an example problem to help illustrate these steps:
Example:
Find the surface area of a triangular prism with a triangular base that has a base of 4 cm, a height of 6 cm, and a height of 10 cm.
Solution:
Step 1: Find the area of the two triangular bases.
Area of one triangular base = (4 cm x 6 cm) / 2 = 12 cm^2
Area of the other triangular base = (4 cm x 6 cm) / 2 = 12 cm^2
Step 2: Find the perimeter of the triangular base.
Perimeter of the triangular base = 4 cm + 5 cm + 6 cm = 15 cm
Step 3: Find the lateral area of the prism.
Lateral area of the prism = Perimeter of the base x Height of the prism
Lateral area of the prism = 15 cm x 10 cm = 150 cm^2
Step 4: Add the area of the two triangular bases and the lateral area of the prism.
Total surface area = 2 x 12 cm^2 + 150 cm^2
Total surface area = 174 cm^2
Therefore, the surface area of the triangular prism is 174 cm^2.
Answer:
Volume of Triangular Prism = ½ × b × h × lWhere b is the base length, h is the height of the triangle and l is the length between the triangular bases.
Step-by-step explanation:
help me, please so I can get a better score
Answer:
27
Step-by-step explanation:
the sum of both of these angles would be 180
45+5x=180
5x=180-45
5x=135
x=27
Balvinder had his first child on his 26th birthday, his second child exactly 4 years later, and his third child exactly 4 years after that. How old was Balvinder when his age was equal to the sum of his three children's ages?
Answer with explanation pls
Answer:
Step-by-step explanation:
Answer:34 years old
Step-by-step explanation:26+4+4=34
What is the height of the parallelogram?
5 cm
2 cm
4 cm
8 cm
help me ! please needs to be done today
Answer:
I believe the answer will be C, because if Claire wants a cupcake also, then it would have to be 30. After all, 29 girls, not including Claire.
Answer:
C
Step-by-step explanation:
They're 24 boys and 29 girls which she's not included in. If she wants to know how many she knew to make for here to get 1 cupcake and the rest of friends she's inviting she'll have to do 24 boys + 29 girls + plus her(1). Making it 24 + 30 = c
Please answer the question
Brainliest if correct!
Triangle XYZ is drawn with vertices X(−2, 4), Y(−9, 3), Z(−10, 7). Determine the line of reflection that produces Z′(10, 7).
A: y-axis
B: x-axis
C: y = 3
D: x = −4
Answer:
A:y-axis
Step-by-step explanation:
A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
MASSIVE DROP 100 POINTS
Please help me I don't understand
well, for 3)
we have a cylinder with a hole in it, mind you that we don't have a height for it, so let's call our height "h".
so hmmm let's take the area of the circular rings atop and bottom, Check the picture below. Then we'll take the lateral area of the cylinder.
now, we have a hole in the middle, a cylindrical hole, since we need the walls of that hole, that's simply just the area of the inner-cylinder.
[tex]\stackrel{ \textit{\LARGE area of the outer part} }{\stackrel{ \textit{two circular rings} }{(2)\pi (\stackrel{ R^2 }{10^2} - \stackrel{ r^2 }{5^2})}~~ + ~~\stackrel{ \textit{lateral area} }{2\pi (10)(h)}}\implies 75\pi +20\pi h \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{ \textit{\LARGE area of the inner part} }{\stackrel{ \textit{total area of inner cylinder} }{2\pi (5)(h+5)}\implies 10\pi h+50\pi} \\\\[-0.35em] ~\dotfill\\\\ (75\pi +20\pi h)~~ + ~~(10\pi h+50\pi)\implies {\Large \begin{array}{llll} 125\pi +30\pi h \end{array}}[/tex]
they other person is right!
Write two fractions with different denominators whose LCD (lowest common denominator) is 36.
give brainly
Answer: 36/36 and 6/36
Step-by-step explanation: That simple just get smarter that is all.
A scale drawing of a famous statue uses a scale factor of 210:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?
252 feet
211.2 feet
208.8 feet
175 feet
Answer:
211.2
hpoe this helps
Due today or tomorrow it’s math
Answer:
P = 10 feet
Step-by-step explanation:
I have no clue and I always get these questions wrong! It would be awesome if someone can help me!
Sorry if this doesn’t help now!
The number between 67 and 113 which is a multiple of 3, 9, and 12 will be 725, and 108.
All the LCM= 36
If the number is a multiple of 36 will be also a multiple of 3, 9, and 12.36,
725 and 108
Sofia needs 8 inches of ribbon to make 1 party favor. Which of the following lengths would be enough ribbon for Sofia to make from 15 to 20 party favors? 1 inch 5 2.54 centimeters, 1 centimeter < 0.39 inch
A 61 centimeters
B 390 centimeters
C 405 centimeters
D 411 centimeters
E 490 centimeters
Answer:
D: 411 centimeters
Step-by-step explanation:
Multiply 8 by 15 you'll get 120 inches from thisMultiply that by 2.54 to find how many centimeters it is. It would be 304.8 centimeters.Then repeat steps 1-2 but replace 15 inches with 20 inches. When you multiply it by 8 it becomes 160 and it becomes 406.4 centimeters when it's multiplied by 2.54 which is why the correct answer is DWhat is an angle that is adjacent to CED?
The angle adjacent to CED is BEC
Answer: CEB
Step-by-step explanation:
adjacent means touching/joint vertex so CED touches CED
evaluate 3^-4 into a fraction or whole number
Answer:
[tex] \frac{1}{81} [/tex]
Step-by-step explanation:
Use the degree properties:
[tex] {3}^{ - 4} = { (\frac{1}{3})}^{4} = \frac{ {1}^{4} }{ {3}^{4} } = \frac{1}{81} [/tex]
please help and if you answer both I will give Brainliest
Answer:
For the first one it's B. 339.12 square units
and for the last one it's D. 235.5 squad units
Step-by-step explanation:
I'm 99.9% that this is right!
I'm really sorry if it's not!
hope this helps!
Answer:
1.B
2. D
Step-by-step explanation:
The wholesale price for a bookcase is $194. A certain furniture store marks up the wholesale price by 11%. Find the price of the bookcase in the furniture store. Round your answer to the nearest cent, as necessary.
If u help me with this question u are a topG
Answer:
37
Step-by-step explanation:
I’m not sure if this is the right way, but it should get ur answer/
Do 2 x 11 = 22 (I got 11 by add 3,4,4)
And then 5x3 which is 15
15 + 22 = 37
Answer:37 ft^2
Step-by-step explanation:
2*11=22
cuz 4+4+3
then
5*3=15
22+15= 37ft^2
A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,512 from popcorn sales and $1,584 from nacho sales. If on the next night the employees sell $1,848 of popcorn, how much is earned from nachos
Answer:
$1,920
Step-by-step explanation:
$1,848 minus $1,512 equals $336
$336 plus $1,584 equals $1,920
There is your answer
The Box-and-Whisker Graph shows the heights, in inches, of children between ages of 7 and 14. Between which two numbers would we find the lower 50% of the data?
A. Between 52 and 61 B. Between 61 and 64.5 C. Between 61 and 72 D. Between 57.5 and 61
Answer:
A. Between 52 and 61
Step-by-step explanation:
In this box and whisker plot Q1 represents the first quartile or the bottom 25% of all the data(25th percentile)
Q2 represents the second quartile and represents the lower 50% of all the data 50th percentile). The middle line represents the median of the data set.
Therefore the lower 50% of the data is found between 52 (lower limit) and 62(50th percentile)
I NEED HELP PLSS. I CANT DO IT
Answer:
A= 8/200
B) 81/200
Which number is divisible by 5 and 10?
The question is on the picture
Please answer the question
Answer:
X=10
Step-by-step explanation:
subtract 30 from 68= 38
add two to 38 = 40
what times 4 gives you forty?= 10
Help asap! 40 points
Given d || e.
∠1 and ∠2 are ___
vertical
corresponding
complementary
supplementary
angles.
∠6 and ∠8 are ___ angles. (same options as first one)
∠1 and ∠5 are ___ angles. (same options as first one)
Answer:
∠1 and ∠2 are supplementary angles.
∠6 and ∠8 are vertical angles
∠1 and ∠5 are corresponding angles.
Step-by-step explanation:
∠1 and ∠2 lie on a straight line which will always add up to 180 degrees or supplementary.
∠6 and ∠8 lie opposite each other on the transversal (intersecting line) and are equal.
<1 and <2 are Supplementary angles
<1 and <5 are Corresponding angles
<6 and <8 are Vertical angles
Given that d II e
when a transversal intersects two parallel lines the following conditions are true:
Supplementary angles are those angles when the sum of two angles is equal to 180 degrees. Since <1 and <2 are on either side of the transversal their sum is equal to 180 degrees hence why it's a supplementary angle.
Vertical angles form 4 angles when a line intersects them and the two angles are opposite to each other. In this case <6 and <8 are opposite each other hence why they are vertical angles.
Corresponding angles are the angles that are in the same position on each of the parallel lines and on the same side of the transversal. In this case both <1 and <5 are on the same side of the transversal on each of the parallel lines hence why they are corresponding angles
To learn more about supplementary, corresponding, and complementary angles,
https://brainly.com/question/30147425?referrer=searchResults
https://brainly.com/question/14954159?referrer=searchResults
{Brainliest} if correct
Use the graph below to answer the question.
Determine the scale factor used to create the image.
one half
2
one fourth
4
Answer:
The scale factor used to create the image is one-half.
please help me thanks
the first answer is 1.429624 × 1012
id know how to do the rest, sorry
Need help in this
Sam has a deck that is shaped like a triangle with a base of 15 feet and a height of 6 feet. He plans to build a 4:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
Answer:
Part A: 42 Part B: 90
Step-by-step explanation:
Part A: 6x2=12 15x2=30
12+30= 42
Part B: LxW=A
6x15= 90
Event A: Spinning green or yellow on the spinner shown Event B: Rolling an odd number on a number cube What is P(A and B)?
Answer: Not sure if this is correct, but I believe the answer is B.
Step-by-step explanation:
Event A Probability = 2/5
Event B Probability = 1/2
P(A and B) = 2/5 * 1/2
P(A and B) = 2/10 = 1/5
B. 1/5
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
A polygon with a horizontal top side labeled 45 yards. The left vertical side is 20 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 10 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 12 yards.
What is the area of the playground?
900 square yards
855 square yards
1,710 square yards
1,305 square yards
Answer:
By answering the presented question, we may conclude that Therefore rectangle 855 square yards is the closest response choice.
What is rectangle?
In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a fundamental rule hexagon or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.
The rectangle has a 20-yard base and a 10-yard height, hence its area is:
200 square yards = 20 yards x 10 yards
The triangle on the left has a 20-yard base and a 45-yard height (since the top side of the polygon is indicated as 45 yards), hence its area is:
450 square yards = 1/2 x 20 yards x 45 yards
210 square yards = 1/2 x 12 yards x 35 yards
As a result, the total playground area is:
860 square yards = 200 square yards plus 450 square yards plus 210 square yards
Therefore 855 square yards is the closest response choice.
from 22 kilograms of fresh mushrooms, 2.5 kilograms of dry mushrooms are obtained, containing 12% water. What is the percentage of water in fresh mushrooms?
(I didn’t really understand the problem’s wording, so you don’t have to give me an answer if you aren’t able to. Just an approach at it.)
Answer:114
Step-by-step explanation:
i am smart
The percentage of water in fresh mushrooms is 10 percent.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, from 22 kilograms of fresh mushrooms, 2.5 kilograms of dry mushrooms are obtained, containing 12% water.
Let x% of water in fresh mushrooms.
Here, x% of 22 = (100-12)% of 2.5
x/100 ×22 = 88% of 2.5
22x/100= 88/100 ×2.5
22x=88×2.5
x=4×2.5
x=10%
Therefore, the percentage of water in fresh mushrooms is 10 percent.
To learn more about the percentage visit:
brainly.com/question/24159063.
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