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bazaltina [42]
3 years ago
15

Slope of (-2,2) and (3,4)

Mathematics
1 answer:
liq [111]3 years ago
7 0

Answer:

2/5

Step-by-step explanation:

Good luck!

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Help me on calculating the area of the shaded part
Ymorist [56]

Answer:

1051 .55 {mm}^{2}

Step-by-step explanation:

Find the area of the square - area of 4 sectors

We'll use the formula to find one sector area

a =  \frac{1}{2}  \times  {r}^{2}  \times x

where r is the radius of one sector and x is the angle in radians

Since each angle is in a square, the angle of the sectors is 90 degrees.

Convert degrees to radians

90 =  \frac{1}{2} \pi \: rad

The radius of one sector is given by 70mm/2=35mm

One sector area:

\frac{1}{2}  \times {35}^{2}  \times  \frac{1}{2} \pi = 306.25\pi

Area of all 4 sectors:

4 \times 306.25\pi = 1225\pi

Area of the square:

70 \times 70  = 4900

Hence, Area of square - 4 Sectors:

4900 - 1225\pi = 1051.55 {mm}^{2} (2dp)

6 0
3 years ago
Read 2 more answers
Dawson purchased a pair of shoes on boxing-day that was discounted by 60% from the original price of $150.00. Calculate the amou
Delicious77 [7]

Answer: $90

Step-by-step explanation:

To find 60% of 150, you can simply use this equation, 60 X 150 divided by 100. That will leave you with 90, which is the amount he paid for the shoes. :)

8 0
3 years ago
Read 2 more answers
Given m||n, find the value of x and y
zalisa [80]

Answer:

x = 8

y = 29

Step-by-step explanation:

8x - 11 = 9x - 19

x - 19 = -11

x = 8

2y - 5 = 9x - 19

2y - 5 = 9(8) - 19

2y - 5 = 72 -19

2y - 5 = 53

2y = 58

y = 29

3 0
3 years ago
Gold has a density of 0.70 pounds per cubic inch and copper has a density of 8.96 grams per cubic centimeter. How much will 1
never [62]

Answer:

1 cubic foot of gold will weigh 1209.6 pounds

1 cubic foot of copper will weigh 559 pounds.

Step-by-step explanation:

Density = Mass/Volume

Mass = Density × Volume

Volume of each metal = 1 ft³

a) Gold

Density of Gold = 0.70 pounds per cubic inch(lb/in³)

We will be converting the Volume of gold from cubic foot to cubic inches

The Volume of gold given in the question = 1 cubic foot = 1 ft³

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

Mass of Gold = Density of Gold × Volume of Gold

Mass of Gold = 0.70Ib/in³ × 1728 in³

= 1209.6 lb(pounds)

2) Copper

Density of copper = 8.96 grams per cubic centimeter

Ib = pounds

We convert this density in g/cm³ to ib/in³

453.5g = 1 Ib

8.96g = y Ib

Cross Multiply

= 453.5g × y Ib =8.96g × 1 Ib

= y Ib = 8.96g × 1 Ib/453.5g

y Ib = 0.0197574421 Ib

Density of Copper = 0.0197574421 Ib/cm³

28,316.8 cm³ = 1 ft³

1 cm³ = x ft³

x ft³ = 1 cm³ × 1 ft³/28,316.8cm³

x ft³ = 0.0000353147 ft³

1 cm³ = 0.0000353147 ft³

We have to convert the density of Copper from Ib/cm³ to Ib/ft³

0.0197574421 Ib/cm³ = 0.0197574421 Ib/0.0000353147 ft³

559.46793026 Ib/ft³

Volume of copper = 1ft³

Mass = Density × Volume

Mass of copper = 559.46793026 Ib/ft³ × 1 ft³

= 559.46793026 Ib or pounds

≈ 559 pounds

Therefore , the weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.

7 0
3 years ago
The
Stella [2.4K]
A. Mid segment I thin
8 0
3 years ago
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