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3 years ago

How do you solve this math problem of ratio?

Mathematics

1 answer:

Alex17521 [72]3 years ago

8 0

I don't know, this is tricky

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Write an equation in slope-intercept form of the line that bisects the angle formed by BA and BC

slega [8]

Given:

Angled formed by ray BA and ray BC is 90 degrees.

To find:

The equation of line that bisects the angle formed by ray BA and ray BC.

Solution:

If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.

It is possible if the line passes though point B(-1,3) and other point (-2,4).

Equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-3=\dfrac{4-3}{-2-(-1)}(x-(-1))$

$y-3=\dfrac{1}{-1}(x+1)$

$y-3=-x-1$

Add 3 on both sides.

$y=-x-1+3$

$y=-x+2$

Therefore, the required equation of line is $y=-x+2$ .

8 0

3 years ago

Units of Capacity

marysya [2.9K]

Answer:

$\large\boxed{\large\boxed{0.2deciliter}}$

Explanation:

Build your conversion factors using the conversion table:

$1 cup = 0.237 liters\implies 1=0.237liters/1cup$

From the prefixes used in the metric system, you know that 1 deciliter = 0.100 liters. Then:

$1 deciliter = 0.100 liters\implies 1=1deciliter/0.100liters$

Arrange the expression to simplify the units and convert from cups to deciliters:

$9cups\times 0.237liters/cup\times 1deciliter/0.100liters=0.2133deciliter$

Round to the nearest tenth: 0.2 deciliter.

4 0

3 years ago

Read 2 more answers

You buy a bunch of snacks from the grocery story that cost $9.50. You also have a 10% off your total purchase coupon. The tax ra

Bond [772]

Answer:

889 or 900

Step-by-step explanation:

I found 4 percent of 9.50 and added it, then found 10 percent and added it.

4 0

3 years ago

Use △GHJ, where A, B, and C are midpoints of the sides.

trasher [3.6K]

The answer is 17 , i just know that’s it

3 0

3 years ago

Read 2 more answers

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

3 years ago