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3 years ago

What is the slope of the line through (-3,0) and (-4,-2)?

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

AnswerY=-10/3x+11:

Step-by-step explanation:

M=0--2/-3-4= -10/3

Y-1=-10/3(x-3)

-10/3x+10+1

Y=-10/3x+11

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3) The equation 41.44=k7 shows that buying 7 bags of apples

Radda [10]

Answer:

1 bag of apples would cost $5.92.

Step-by-step explanation:

All you have to do is take the 41.44 and divide it by 7 to see how much one bag would cost. I used a calculator and got $5.92.

Hope this helps!

7 0

3 years ago

Compute, in centimeters and in meters, the height of a basketball player who is 6 ft 6 in. tall.

Serggg [28]

Centimeters - 201.168
Meter - 2.01168

5 0

3 years ago

Read 2 more answers

Pls show full working out

sweet-ann [11.9K]

Answer:

Question 1a. i) $x=1.8m$

Question 1a. ii) $Volume=27.6m^3$

Question 1b) $Volume=65.9m^3$

Explanation:

Question 1 a. i) Find the value of x.

$tan(\theta )=\dfrac{opposite\text{ }leg}{adjacent\text{ }leg}$

For the smalll triangle you can write:

$tan(\theta )=\dfrac{x}{1m}$

For tthe big triangle:

$tan(\theta )=\dfrac{x+2.7m}{2.5m}$

Substitute:

$\dfrac{x}{1m}=\dfrac{x+2.7m}{2.5m}$

Solve for x:

$2.5x=x+2.7m\\\\2.5x-x=2.7m\\\\1.5x=2.7m\\\\x=2.7m/1.5\\\\x=1.8m$

Question 1a ii) Find the volume of the frustrum

Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m

Formula:

$Volume=(1/3)\pi \times radius^2\times height$

Substitute:

$Volume=(1/3)\pi \times (2.5m)^2\times 4.5m=9.375\pi m^3$

Find the volume of a cone with heigth = 1.8m and radius = 1m

$Volume=(1/3)\pi \times (1m)^2\times 1.8m=0.6\pi m^3$

Subtract the volume of the small cone from the volume of the big cone

$Volume\text{ }of\text{ }frustrum=9.375\pi m^3-0.6\pi m^3=8.775\pi m^3\approx 27.6m^3$

Question 1b. Calculate the volume of the bin

i) Upper frustrum

This is the same frustrum from the equation of above, thus ist volume is 27.6m³.

ii) Lower frustrum

$\dfrac{x}{2.0m}=\dfrac{x+2.4m}{2.5m}$

$2.5x=2(x+2.4m)\\\\2.5x=2x+4.8m\\\\0.5x=4.8m\\\\x=9.6m$

$Volume=(1/3)\pi \times (2.5m)^2\times (9.6m+2.4m)-(2.0m)^2\times (9.6m)$

$Volume=38.3m^3$

iii) Add the volume of the two frustrums

$Volume=27.6m^3+38.3m^3=65.9m^3$

6 0

3 years ago

Every member of the family gives a gift to every other member of the family. There are ten members this year. If there are just

Eva8 [605]

The statement is contradictory, because it is said that every member of the family gives a gift to every other member of the family. And from 10 members, there are just 2 exchanging. Anyway, maybe they are only 2 members exchanging the gifts at that point in time.
So, each member will exchange 9 gifts (that is 10 members total minus herself), and 2 members are exchanging gifts at that point, so 18 gifts are being exchanged.

7 0

3 years ago

A rectangle is reduced by a scale factor of One-fourth.

Dvinal [7]

The ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as:

A = length * width

For the large triangle

Area = 16 * 12

Area of large triangle = 192 square units

For the smaller rectangle

Area = 4 * 3

Area. of small rectangle = 12 square units

Ratio = 12/192 = 1:16

Hence the ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16

Learn more on area of rectangle here: brainly.com/question/25292087

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6 0

2 years ago