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lorasvet [3.4K]
3 years ago
12

Find the total surface area of this triangular prism.

Mathematics
2 answers:
prohojiy [21]3 years ago
5 0

Answer:

Total surface area of triangular prism:

A = base area x 2 + base perimeter x height

  = 6 x 8 x (1/2) x 2 + (6 + 8 + 10) x 4

  = 48 + 96

  = 144 (cm2)

Hope this helps!

:)

romanna [79]3 years ago
3 0

Answer:

162.4

Step-by-step explanation:

bh + (s1 + s2 + s3)H is the formula, so if you plug in the numbers and follow PEMDAS you get 162.4

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In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax for 5%
maks197457 [2]

Answer:

$50

Step-by-step explanation:

Given data

Cost of sushi= $40

Tax= 5%

Tip= 20%

Let us find the amount of the tax and the tip

Tax

=5/100*40

=0.05*40

=$2

Tip

=20/100*40

=0.2*40

=$8

Hence the total amount paid is

=40+2+8

=$50

6 0
3 years ago
Lydia recorded the grade-level and instrument of everyone in the middle school School of Rock below.
neonofarm [45]

Answer:

31/42

Step-by-step explanation:

there are 42 students in 8th grade

31 dont play keyboard so 31/42 = 73.8% chance

6 0
3 years ago
Can you draw trapezoid three right angles
Hunter-Best [27]
Its impossible to draw a trapezoid with just three right angles.

a trapezoid has 4 sides, which means all the angles inside the trapezoid must add up to 360 degrees.

if you have just 3 right angles (90x3), you already use up 270 degrees. Leaving you with just 90 degrees left, which is also a right angle. That means, there has to be four, if you have at least 3.

6 0
3 years ago
Evaluate the definite integral using the graph of f(x)<br> (Image included)
Tanya [424]

a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

\displaystyle \int_0^3 f(x) \, dx = \frac12 \times 3 \times 5 = \boxed{\frac{15}2}

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

\displaystyle \int_3^5 f(x) \, dx = \int_3^4 f(x) \, dx + \int_4^5 f(x) \, dx = \int_3^4 f(x) \, dx - \int_3^4 f(x) \, dx = \boxed{0}

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

\displaystyle \int_5^9 f(x) \, dx = -4\times5 = -20

Then by linearity, we have

\displaystyle \int_0^9 f(x) \, dx = \left\{\int_0^3 + \int_3^5 + \int_5^9\right\} f(x) \, dx = \frac{15}2 + 0 - 20 = \boxed{-\frac{25}2}

8 0
2 years ago
Can u tell me what the answer is plz
yuradex [85]

Answer:

D, B, C, A

Step-by-step explanation:

Solve the equations by combining like terms, isolating the variable, and dividing the equation by the coefficient of the variable.

Doing this, the first equation should be 2, the second equation should be -2, the third equation should be -1, and the last equation should be -6.

Then, we can order them.

8 0
3 years ago
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