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3 years ago

Find the surface area of the right prism. Round to the nearest whole number.

Mathematics

1 answer:

andriy [413]3 years ago

5 0

Answer:

$\large\boxed{S.A.=96\ cm^2}$

Step-by-step explanation:

We have:

(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm

(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

Substitute:

$A=\dfrac{7+5}{2}\cdot4=24\ cm^2$

Calculate the areas of the rectangles:

$A_1=(3)(7)=21\ cm^2\\\\A_2=(3)(4)=12\ cm^2\\\\A_3=(3)(5)=15\ cm^2$

The Surface Area:

$S.A.=(2)(24)+21+12+15=96\ cm^2$

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Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

Vladimir79 [104]

Answer:

Figure A

Step-by-step explanation:

See the attached figure which represents the given options

We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.

As shown: point A will map to point L, point R will map to point P and point Q will map to point K.

we will check the options:

Figure A: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.

Figure B: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.

Figure C: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.

Figure D: the triangle ARQ and LPK can be mapped to each other using a rotation about point A.

So, the answer is figure A

The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.

3 0

3 years ago

Read 2 more answers

a class voted for either rollerblading, swimming, or biking as their favorite summer activity. if rollerblading got 21% percent

Sauron [17]

Answer: 39% voted for biking

Step-by-step explanation:

Add the other two percentages and subtract from 100

40 + 21 = 61

100 - 61 = 39

8 0

3 years ago

Find the value of each variable that ensures that each equilateral is a parallelogram

puteri [66]

Opposite sides are equal in a parallelogram.

$3a-12 = \frac{1}{2}a-7$

$\frac{5}{2}a = 5$

$a = 2$

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3 years ago

Factor out the coefficient of the variable 5/6s+4/6

nirvana33 [79]

Okie, we find out the coefficient
5/6 s+ 4/6= 1/6 x 5s+ 1/6 x 4= 1/6(5s+4)

we have done this
Have a good day

5 0

3 years ago

Need help with this please

Sav [38]

Your going to have to use the distance formula for these questions which is the square root of (x sub 2 - x sub 1) + (y sub 2 - y sub 1). For number 1 your coordinates are (-5,5) and (1,-2). Substituting these values into the formula your answer for number 1 is 9.2.

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3 years ago