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2 years ago

Can someone help me with this?

Mathematics

1 answer:

larisa [96]2 years ago

4 0

9514 1404 393

Answer:

2b +2c
35h +15m
ef +eg

Step-by-step explanation:

The outside factor multiplies each term in parentheses.

a) 2(b+c) = 2b +2c

b) 5(7h +3m) = 5×7h +5×3m = 35h +15m

c) e(f +g) = ef +eg

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Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k

tresset_1 [31]

Answer:

a) Similar

b) Perimeter of rectangle 2 is k times the Perimeter of rectangle 1 (Proved Below)

c) Area of rectangle 2 is k^2 times the Area of rectangle 1 (Proved Below)

Step-by-step explanation:

Given:

Rectangle 1 has length = x

Rectangle 1 has width = y

Rectangle 2 has length = kx

Rectangle 2 has width = ky

(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?

Rectangle 1 and Rectangle 2 are similar because the angles of both rectangles are 90° and the sides of Rectangle 2 is k times the sides of Rectangle 1. So sides of both rectangles is equal to the ratio k.

(b) Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.

Perimeter of Rectangle = 2*(Length + Width)

Perimeter of Rectangle 1 = 2*(x+y) = 2x+2y

Perimeter of Rectangle 2 = 2*(kx+ky) = 2kx + 2ky

= k(2x+2y)

= k(Perimeter of Rectangle 1)

Hence proved that Perimeter of rectangle 2 is k times the perimeter of rectangle 1.

(c) Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.

Area of Rectangle = Length * width

Area of Rectangle 1 = x * y

Area of Rectangle 2 = kx*ky

= k^2 (xy)

= k^2 (Area of rectangle 1)

Hence proved that area of rectangle 2 is k^2 times the area of rectangle 1.

4 0

3 years ago

The force needed to stop a car varies directly as its weight W and the square root of velocity V are inversely as the distance d

svet-max [94.6K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Which value would make the statement true? 2/? is greater than 4/12 ? A.4 B.6 C.12 D.24

Liula [17]

Answer:

A.4

Step-by-step explanation:

Because 4/12 is simplified to 1/3 and 2/4 would be simplified to 1/2. 1/2 > 1/4

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3 years ago

How to do this question plz answer

weeeeeb [17]

9514 1404 393

Answer:

102

Step-by-step explanation:

The total of ratio units is ...

6 + 3 + 8 = 17

The difference between the Charlie's ratio units and Adrian's ratio units is ...

8 - 6 = 2

That is, the total number of ratio units is 17/2 = 8.5 times that difference.

The actual difference is 12 sweets, so the total number of sweets is ...

8.5 × 12 = 102 . . . . total sweets

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3 years ago

This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,

Vlad [161]

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Conditional Probability

$P(B|A) = \frac{P(A \cap B)}{P(A)}$