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2 years ago

Edward had 100 newspapers to deliver on his paper route. He had already delivered 25

Mathematics

1 answer:

kati45 [8]2 years ago

4 0

Answer:

50 newspapers

Step-by-step explanation:

100 (total amount of newspapers) - 25 (amount Edward already sold) = 75 (amount of newspapers left)

75 (amount of newspapers left) ÷ 3 (Edward and his 2 friends) = 25 (equal amount each person delivered)

25 (amount Edward already sold) + 25 (amount Edward sold after his friends helped him) = 50 (amount of newspapers Edward sold in total)

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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒ $b= \frac{-a}{4}$

slope of line = $tan\theta =\frac{P}{B}= \frac{-1}{4}$

⇒ $tan\theta$ is negative therefore it lies into 4th quadrant

By, Pythagoras theorem $H^2=P^2+B^2$

by putting value of P= -1 & B=4

the value of $H=\sqrt{17}$

with the given condition $cos\theta>0$

i.e. $\theta$ ∈ (3π/2, 2π)

now, $sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}$

6 0

2 years ago

the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectang

yKpoI14uk [10]

Given:

The width of a rectangle is x centimeters and its length is (x+ 2) cm.

To find:

The expression for the perimeter of the rectangle.

Solution:

We know that, perimeter of a rectangle is

$Perimeter=2(Length+Width)$

We have,

Width = x cm

Length = (x+2) cm

Putting these values in the above formula, we get

$Perimeter=2((x+2)+x)$

$Perimeter=2(2x+2)$

$Perimeter=2(2x)+2(2)$

$Perimeter=4x+4$

Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.

6 0

2 years ago

(t+9)20=140 what is t

GarryVolchara [31]

Answer:

t=-2

Step-by-step explanation:

(t+9)20=140

Distribute the 20

20t +180 = 140

Subtract 180 from each side

20t +180-180 = 140-180

20t = -40

Divide by 20

20t/20 = -40/20

t=-2

8 0

2 years ago

Read 2 more answers

What is the total surface area of the figure shown?

4vir4ik [10]

Given:

Composite figure.

The figure splitted into two shapes.

One is vertical cuboid and other is horizontal cuboid

To find:

Total surface area of the figure

Solution:

<u>Vertical cuboid:</u>

Length = 14 inches

Width = 12 inches

Height = 24 inches

Surface area = 2(lw + wh + lh)

= 2(14 × 12 + 12 × 24 + 14 × 24)

= 2(168 + 288 + 336)

Surface area = 1584 square inches

<u>Horizontal cuboid:</u>

Length = 14 inches

Width = 10 inches

Height = 30 - 12 = 18 inches

Surface area = 2(lw + wh + lh)

= 2(14 × 10 + 10 × 18 + 14 × 18)

= 2(140 + 180 + 252)

Surface area = 1144 square inches

Total surface area = 1584 + 1144

= 2728 square inches

The total surface area of the figure is 2728 square inches.

4 0

2 years ago

Find the volume and surface area of a cube with sides 6 inches long?

Aneli [31]

Answer:

surface area is 216 and the volume is 216

8 0

2 years ago