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Pachacha [2.7K]
3 years ago
10

A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be th

e area, in square inches , of the new rectangle in terms of x

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

Option (4)

Step-by-step explanation:

Area of a rectangle = Length × width

If the dimensions of the given rectangle is doubled,

Area of the new rectangle = 2(Length) × 2(width)

                                            = 4(Length × width)

                                            = 4(x)(x - 2)

                                            = 4[x² - 2x]

                                            = 4x² - 8x

Therefore, Option (4) will be the correct option.

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In a movie theater, there are children and adults in the ratio 4:7. If there are 21 adults, how many people total are there in t
lozanna [386]

Answer:

33

Step-by-step explanation:

7x3=21

4x3=12

21+12=33

8 0
3 years ago
On the first play, a football team lost 6 yards, on the second play they gained 20 yards, what was their total change in yards?
Arada [10]
20 - 6 = 14
so the answer is 14
3 0
3 years ago
A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the
LekaFEV [45]

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64

Hence, the lighthouse is 34.64 m tall.

6 0
3 years ago
Solve the liner equation <br> 17-x=1/2(15)+6
Genrish500 [490]

Answer:

x = 3.5

Step-by-step explanation:

15(1/2) = 7.5

7.5+6 =13.5

subtract 17 and divide by -1 to isolate x 13.5-17/-1

x = 3.5

8 0
3 years ago
NEED HELP ASAP!!
storchak [24]

Answer: 1.2 in

Step-by-step explanation:

The pythagorean theorem states that a²+b²=c².  Thus, 0.9²+b²=1.5².

1.5²=2.25

0.9^2=0.81

0.81 + b² = 2.25

1.44 = b²

b = 1.2

Hope it helps <3 :)

3 0
3 years ago
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