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3 years ago

13.

Mathematics

2 answers:

RUDIKE [14]3 years ago

8 0

Answer: $2,596 cm^2$

Step-by-step explanation:

Given dimensions of rectangular prism :

length: 8 cm

width: 13 cm

height: 10.5 cm

If all the dimensions of the prism are doubled, then the new dimensions will be:

length: 16 cm

width: 26 cm

height: 21 cm

The surface area of rectangular prism is given by :-

$S.A.=2(lw+wh+hl)\\\\\Rightarrow\ S.A.=2(16*26+26*21+21*16)\\\\\Rightarrow\ S.A.=2,596 cm^2$

Hence, its new surface area $2,596 cm^2$

svetlana [45]3 years ago

7 0

The answer is 2,596 so it would be C

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Help asappppp? i’m having trouble on wat the 1/4 point is

blagie [28]

Answer:

(-14, 5.5)

Step-by-step explanation:

Perhaps the easiest way to find the 1/4 point is to find (x, y), then find the midpoint between that and M.

(x, y) = 2M -(13, 25) = 2(-5, 12) -(13, 25) = (-23, -1)

Then the 1/4 point is ...

((-23, -1) +M)/2 = ((-23, -1) +(-5, 12))/2 = (-28, 11)/2 = (-14, 5.5)

_____

If we call the end points A(x, y) and B(13, 25), then we know ...

M = (A+B)/2

A = 2M -B . . . . we'll need this in a bit

and the 1/4 point Q is such that ...

(Q -A)/(B -A) = 1/4

4Q -4A = B -A . . . . cross multipliy

Q = (B +3A)/4 = (B +3(2M -B))/4 = (6M -2B)/4 . . . . solve for Q

Q = (3M -B)/2 . . . . reduce the fractions

Q = (3(-5, 12) -(13, 25))/2 = (-28, 11)/2 = (-14, 5.5) . . . as above

6 0

3 years ago

Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).

egoroff_w [7]

Slope intercepf is y=mx+b wherem=slope and b= y intercept
slope is found by doing
(y1-y2)/(x1-x2)
points are (6,-1) and (-3,2)
(x,y)
x1=6
y1=-1
x2=-3
y2=2
subsitute
(-1-2)/(6-(-2))=-3/(6+2)=-3/8
slope=-3/8
subsitute
y=-3/8x+b
subsitute and solve for b
(-3,2)
x=-3
y=2
2=-3/8(-3)+b
2=9/8+b
2=16/8
subtract 9/8 from both sides
16/8-9/8=b
7/8=b
y=-3/9x+7/8 is the equation

5 0

3 years ago

A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has

statuscvo [17]

Answer:a) 54/55

b) 100/110

c) 99/110

Step-by-step explanation:

a)Probability of ordering 4= 9/12×3/11×2/10×1/9 = 54/11880

Probability of 4 good units= 4 × 54/11880

= 216/11880

1/55

1-(1/55) = 54/55

b)Probability of 2 good units= 2 × 54/(11880)

= 108/11880

= 1/110

1- (1/110)= 100/110

c) Probability of exactly 2 units not good= 1 -(100/110) =99/110

8 0

3 years ago

Please help me ASAP will mark brianlest

Paul [167]

Answer:

idk a or c

Step-by-step explanation:

5 0

3 years ago

Expand:<br> 4(5x+5) - 3(2x + 4)

aliina [53]

Answer:

14x + 8

Explanation:

⇒ 4(5x+5) - 3(2x + 4)

distribute inside parenthesis

⇒ 4(5x) + 4(5) - 3(2x) - 3(4)

multiply the variables

⇒ 20x + 20 - 6x - 12

collect like terms

⇒ 20x - 6x + 20 - 12

subtract like term

⇒ 14x + 8

3 0

2 years ago

Read 2 more answers