The surface area of the triangular prism with dimensions of 10m, 9m, 6m, and 8m is 218m².
Explanation:To find the surface area of a triangular prism, we need to find the sum of the areas of all its faces.
A triangular prism has two triangular bases and three rectangular lateral faces. Let's calculate the surface area:
1. The area of each triangular base can be found using the formula: 1/2 × base × height.
For the first base, the base is 10m and the height is 6m. So the area of the first base is 1/2 × 10m × 6m = 30m².
Similarly, for the second base, the base is 9m and the height is 8m.
So the area of the second base is 1/2 × 9m × 8m = 36m².
2. The area of each rectangular lateral face can be found using the formula: length × width.
The lengths of the lateral faces are 10m, 9m, and 6m.
The common width of the lateral faces is the height of the prism, which is 8m.
So the total area of the lateral faces is 10m × 8m + 9m × 8m + 6m × 8m = 152m².
3. Finally, the total surface area of the triangular prism is the sum of the areas of the bases and the lateral faces: 30m² + 36m² + 152m² = 218m².
Therefore the surface area of a triangular prism is 218m².
your dog's water bowl is 3/4 full after taking a drink the water bowl is 1/3 foot what fraction of the ball did your dog drink
write two division equations for 15 times 2/5= 6
The two division equations for 15 times 2/5 = 6 are 15÷(5/2) = 6 and
15 = (5/2)(6) + 0.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
We know, N = DQ + R.
First type,
15×(2/5) = 6.
15÷(5/2) = 6.
Second type,
N = DQ + R.
15÷(5/2) = 6.
15 = (5/2)(6) + 0.
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Which unit should be used when measuring the length of a state border?
A.
centimeter
B.
kilometer
C.
meter
what is 1.8k - 5 lol help :)
Find the area of the triangle that has a base of 16 yd and a height of 9 yd
Frank averages 3 strikes for every 10 frames that he bowls. If he bowled 42 strikes in a season, how many frames did frank bowl?
A. 126 frames
B. 140 frames
C. 156 frames
D. 164 frames
Edwin needs to buy a car, a truck, and a motorcycle for his shipping business. He wants the car to be red or yellow; the truck to be black, white, or silver; and the motorcycle to be green, blue, or orange.
How many different combinations of vehicles does Edwin have to choose from?
33 is the product of Jenny's height and 3
Christopher’s back yard is in the shape of a trapezoid.The bases of his back yard are 30 and 40 feet long.The area of his back yard is 525 square feet.Write and solve an equation to find the height of Christopher’s back yard.
Natalia is drawing a rectangle. She wants the width to be at least 10 inches and the perimeter to be no more than 72 inches.
A.) write a system of inequalities that can be used to solve this problem.
B.) give a possible length and width for the rectangle.
C.) give a length and width that cannot be used for the rectangle.
Natalia's problem involves creating a system of inequalities with limitations on width and perimeter. Possible rectangle dimensions follow this system, such as a width of 10 inches and a length of 26 inches. Dimensions that don't comply, like a width of 9 inches or a width of 10 inches with a length of 27 inches, are not feasible.
Explanation:To address Natalia's rectangle problem, we need to create a system of inequalities based on her requirements for width and perimeter. Let's denote the width as w and the length as l. The inequalities should look like this:
w ≥ 10 (The width must be at least 10 inches)2l + 2w ≤ 72 (The perimeter must be no more than 72 inches)Possible dimensions for Natalia's rectangle that satisfy these inequalities could be a width of 10 inches and a length of 26 inches. In this case, the perimeter would be 2(10) + 2(26) = 72 inches, which is the maximum allowed.
Impossible dimensions would include a width of 9 inches, as this is less than the minimum required width, or a width of 10 inches with a length of 27 inches, which would make the perimeter 2(10) + 2(27) = 74 inches, exceeding the maximum permitted perimeter.
Vote for the best representation of 7 95/125 what’s the answer ??
Given is a mixed number i.e. [tex] 7\frac{95}{125} [/tex].
We can solve it as given below :-
[tex] 7\frac{95}{125} \\\\
=\frac{(125*7)+95}{125} \\\\
=\frac{875+95}{125} \\\\
=\frac{970}{125} \\\\
=\frac{194}{25} \\\\
=7\frac{19}{25} \;\;or\;\; 7.76 [/tex]
Hence, [tex] \frac{194}{25} \;or\; 7\frac{19}{25} \;or\; 7.76 [/tex] would be better representation of given mixed number i.e. [tex] 7\frac{95}{125} [/tex].
Hope, this helps! :)
Is it 2.20? Because if the square root is 2.23 then you’d find the value of the nearest hundredth?
10 POINTS AND BRAINLIEST!1
Identify the following numbers as Irrational (I) or Rational (R).
a. ¾ ______
b. 1/3 ______
c. 4√4 ______
d. .3333 ______
e. 0.3¯0.3¯ _____
f. ππ _____
g. -3/4 ______
h. -4.32 _____
i. 12−−√12 _____
1/4x+y=5 what is the slope
Expand. Your answer should be a polynomial in standard form. (4−7y)(7+4y)
To expand (4−7y)(7+4y), apply the FOIL method to get the expanded form: 28 + 16y - 49y - 28y². Combine like terms to get the standard form: -28y² - 33y + 28.
Explanation:To expand the given expression (4−7y)(7+4y), we need to apply the distributive property (also known as the FOIL method in this case, which stands for First, Outer, Inner, Last):
First: Multiply the first terms in each binomial: 4 × 7 = 28.Outer: Multiply the outer terms: 4 × 4y = 16y.Inner: Multiply the inner terms: -7y × 7 = -49y.Last: Multiply the last terms: -7y × 4y = -28y².Combine the middle terms (16y and -49y) and arrange the polynomial in standard form, which is ordering terms from highest to lowest degree:
Expanded form: 28 + 16y - 49y - 28y²
Combine like terms: 28 - 33y - 28y²
Standard form: -28y² - 33y + 28
Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5). Show your work.
Assume a and b are natural numbers. if a and b are two different primes, find GCD(a,b) and LCM(a,b).
Prime numbers are those numbers that have only 1 and the number itself as factors.
If a and b are prime numbers.
The greatest common divisor of a and b is 1.
The lowest common multiple of a and b is ab.
What is a prime number?Prime numbers are those numbers that have only 1 and the number itself as factors.
2 is the only even prime number.
Examples:
2, 3, 5, 7, 11 are all prime numbers
We have,
Two natural numbers a and b.
a and b are prime numbers.
The greatest common divisor of a and b:
The prime numbers have 1 and the number itself as its factors.
So,
a x 1 = a
b x 1 = b
1 is the GCD of a and b.
The lowest common multiple of a and b:
a x b = ab
ab is the lowest common multiple of a and b.
Thus,
The greatest common divisor of a and b is 1.
The lowest common multiple of a and b is ab.
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The GCD of two different prime numbers is 1, and the LCM is the product of the two primes.
GCD(a,b) is the Greatest Common Divisor, which is the largest positive integer that divides both numbers without a remainder. For two different prime numbers a and b, their GCD will be 1 because there are no common factors other than 1. LCM(a,b) is the Least Common Multiple, which is the smallest multiple that is divisible by both numbers. For prime numbers a and b, their LCM will be the product of the two primes.
What is 860,693 round to the nearest thousand
A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week. How many weeks does one bag last?
Final answer:
To find out how many weeks a 3 lb bag of cat food will last for a cat that eats 3/4 lb per week, divide the total weight of the bag by the weekly consumption. One 3 lb bag lasts for 4 weeks.
Explanation:
The question asks how many weeks a bag of cat food will last if the cat eats 3/4 lb each week and the bag is 3 lbs. To find the answer, we need to divide the total weight of the bag by the amount eaten each week.
Here's the step-by-step calculation:
Total weight of cat food per bag: 3 lbsThe amount of cat food the cat eats per week: 3/4 lbNumber of weeks one bag lasts = Total weight of cat food per bag \/ The amount of cat food the cat eats per weekNumber of weeks one bag lasts = 3 lbs / 3/4 lb = 4 weeksTherefore, one bag of cat food will last for 4 weeks.
what is the volume of a rectangular prism with a base area of 32 cm and a height 6 cm
The volume of a rectangular prism with a base area of 32 cm and a height 6 cm is 192cm³
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.
We need to find the volume of a rectangular prism with a base area of 32 cm and a height 6 cm
Volume of rectangular prism is base area times of height
Base area = Thirty two =32 cm²
Height=6 cm
Volume of rectangular prism=32×6
=192cm³
Volume of a rectangular prism with a base area of 32 cm and a height 6 cm is 192cm³
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in a certainin linear pair, one angle measures three less than twice as much as the other. choose the diagram that you would draw to represent this linear pair.
HELP ME ASAP PLEASE!!!!!
how do you multuply monominails (sorry if i spelled it wrong)
a^3 *v^4
what the answer subtitution of x=6+y and ×-4y=21
Triangle ABC and DEF are similar. AB=15 cm, BC=18 cm, and EF=6 cm. What is thr length of DE?
Determine the volume of a cylindrical bucket if the diameter is 8.5 in. and the height is 11.5 in.
A. 652.2 in3
B. 2608.9 in3
C. 306.9 in3
D. 882.4 in3
We know that the volume,V of a cylinder is given by:
[tex] V=\pi r^2h [/tex]
where r is the radius, h is the height of the cylinder.
Now, it has been given to us that the diameter of the cylinder is 8.5 in. Therefore, the radius of the cylinder will be half it's diameter and will be, [tex] r=\frac{1}{2}\times 8.5=4.25 [/tex] in.
The height, h=11.5 inches
Therefore, applying the formula we will get:
Volume, V=[tex] \pi (4.25)^2(11.5)\approx652.57 in^3 [/tex]
Thus, out of the given options, Option A is the correct option.
Yasmine needs to create invitations for the party. She has 3/4 of an hour to make the invitations. It takes her 1/12 of an hour to make each card. How many invitations can Yasmine create?
It is found that Yasmine can create 9 cards.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Yasmine needs to create invitations for the party. She has ¾ of an hour to make the invitations. It will takes her 1/12 of an hour to make each card.
Since Yasmine takes 1/12 hour create number of cards = 1
Yasmine takes 1 hour to create number of cards = 1 x 12/1 = 12
Yasmine takes 3/4 hour to create number of cards = 12 x 3/4 = 9
Therefore, It is found that Yasmine can create 9 cards.
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The area of the base of a rectangular prism is 18 cm2. The height of the prism is 9 1 2 cm. What is the volume of the prism?
The volume of the rectangular prism with a base area of 18 cm2 and height of 9 1/2 cm is calculated to be 171 cm3, using the formula Volume = area of base x height.
The volume of a rectangular prism is calculated by multiplying the area of the base by the height of the prism. In this case, the area of the base is given as 18 cm2, and the height is 9 1/2 cm, which can also be written as 9.5 cm for easier multiplication.
To find the volume, we use the formula: Volume = area of base * height. Substituting the known values, we get:
Volume = 18 cm2 * 9.5 cm
Volume = 171 cm3
Therefore, the volume of the rectangular prism is 171 cm3.
how do you find a complementary and supplementary angles
which is a better buy on apples? 5lbs for $5.25 or 10lbs for $10.25