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Zigmanuir [339]
3 years ago
13

the area of a rectangular living room is 300 square feet. the length of the room is 10 feet less than twice the width

Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0

Answer:

The length is 20, and the width is 15.

Step-by-step explanation:

You have to write an expression to represent this situation. w can be the width, and the length can be 2w-10. To fnd the area, you multiply these together. w(2w-10) is 2w^2 -10w. From there, 15 is the only value of w that satisfies the equation, so w=15. Substitute 15 into your expression for lngth, and 2(15)-10 is 30-10 is 20, so the length is 20.

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Can you help? photo is included<br><br><br><br><br><br><br>​
laiz [17]

Answer:

Step-by-step explanation:

f(x)=-4x+2

g(x)=x²+1

(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6

(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102

3 0
3 years ago
What is the simplest form for the fraction 5/30
Doss [256]
1/6 is the simplest form for the fraction 5/30.
4 0
3 years ago
Read 2 more answers
7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it
babymother [125]

Answer:

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it  sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360  ×   πr²

where Ф is the angle,  r is the radius   π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

Ф =?   area  of the sector= 48 cm²    π = \frac{22}{7}

we can now go ahead to substitute the values into the formula  and solve Ф

area of a sector = Ф/360  ×   πr²

48   =  Ф/360  ×  \frac{22}{7} × (3.5)²

48 = Ф/360  ×  \frac{22}{7} ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

7 0
3 years ago
Pls help this is really important
oee [108]

Answer:

x = 30 I'm sure hope this helps

7 0
2 years ago
PLEASE HELP AND SHOW WORK I RLLY NEED TO PASS
Alex787 [66]

40×4×4=640

b=20 h=4

using formula:

1/2×base×height

1/2×20×4=40

its says scale by factor 4:

b=80 h=16

using formula:

1/2×base×height

1/2×80×16=640

answer------>>>>640cm^2

8 0
3 years ago
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