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3 years ago

Does anyone understand this?

Mathematics

2 answers:

julia-pushkina [17]3 years ago

6 0

Yes, 18-1, 36-2 and so on, add 18 on the left side as you add 1 on the right, then put that on the graph

NikAS [45]3 years ago

3 0

Answer:

no looks confusing

Step-by-step explanation:

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Are the graphs of 4x-6y=-24 and y=2/3x+4 parallel perpendicular or neither?

ANTONII [103]

Answer:

neither

Step-by-step explanation:

4x - 6y = -24 y = 2/3x + 4

-6y = -4x - 24

-6/-6y = -4/-6x -24/-6 y =2/3x + 4

y = 2/3x +4

Same line

5 0

3 years ago

The Original Price of an item is $150.00. It is on sale for 30% off. You also have a store coupon for 10% off of the sale price.

kumpel [21]

30% + 10% = 40% off
150 * 0.40 = $60 off
150 - 60 = $90
Solution: you pay $90

6 0

3 years ago

Read 2 more answers

What is the best result for h?

Kryger [21]

Answer: First option.

Step-by-step explanation:

To solve for "h" from the given the equation $S=2\pi rh+2\pi r^2$ , you need to:

Apply the Subtraction property of equality and subtract $2\pi r^2$ to both sides of the equation.

Then you need to apply the Division property of equality and divide both sides of the equation by $2\pi r$ .

Then:

$S-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\S-2\pi r^2=2\pi rh\\\\\frac{S}{2\pi r}-\frac{2\pi r^2}{2\pi r}=\frac{2\pi rh}{2\pi r}\\\\\frac{S}{2\pi r}-r=h$

6 0

3 years ago

Read 2 more answers

MAJORR HELP!!!

WINSTONCH [101]

Answer:

a)$1628.90

b)$1647.00

c)$1648.72

Step-by-step explanation:

The question is on compound interest.

The formula to apply here is;

$A=P(1+\frac{r}{n} )^{nt}$

where

P=principal /beginning amount
r=interest rate as a decimal
n=number of compoundings a year
t=total number of years

a) If compounded annually, n=1

p=$1000, r=5%=0.05 t=10

Amount will be;

$A=1000(1+\frac{0.05}{1} )^{10} \\\\\\A=1000(1.05)^{10} \\\\\\A=1000*1.6289=1628.90$

Amount=$1628.90

b) If compounded monthly, n=12

p=$1000, r=5%=0.05, t=10, n=12

$A=1000(1+\frac{0.05}{12} )^{12*10} \\\\\\A=1000(1.0042)^{120} \\\\\\A=1000*1.647=1647$

Amount=$1647.00

c)If interest compounded continuously, it means the principal is earning interest constantly and the interest keeps earning on the interest earned.Here the formula to apply is;

A=Pe^rt where e is the mathematical constant e=2.71828182846

Hence the amount will be;

$A=Pe^{rt} \\\\\\A=1000*e^{0.05*10} \\\\\\A=1000*2.71828182846^{0.5} \\\\\\A=1648.72$

Amount=$1648.72

8 0

3 years ago

AB=diameter of the circle O. OC=radius. Arc AXB is an arc of the circle with centre C. Prove areas of the shaded region are =

alexandr1967 [171]

1.
Draw a circle with center C And radius CA, as shown in the attached picture.

Let the lengths of radii AO, OB, OC be R. Triangle ABC is inscribed in the circle with center O and one of its sides is a diameter, this means that the angle ACB is a right angle.
|AO|=|OC|=R, by the Pythagorean theorem |AC|= $\sqrt{2}R$ .

these are all shown in the picture.

2.

Area of triangle ABC is 1/2 * 2R * R= R^2

3.

Let the area between arc BXA and chord AB be Y. (the yellow region).

and let G be the shaded region between arcs AB and AXB.

G=1/2(Area circle with center O)-Y
= $\frac{1}{2} \pi R^{2}-Y$

To find Y:

Notice that the area of the sector ACB is 1/4 of the area of circle with center C, since m(ACB) is 1/4 of 360 degrees.

So Area of sector ACB = $\frac{1}{4} \pi (\sqrt{2} R)^{2}=\frac{1}{4} \pi*2 R^{2} =\frac{1}{2} \pi R^{2}$

Y =area of sector ABC-Area(triangle ABC)= $\frac{1}{2} \pi R^{2}- \frac{1}{2}*2R*R=\frac{1}{2} \pi R^{2}- R^{2}$

4.

Finally,

$G=\frac{1}{2} \pi R^{2}-Y=\frac{1}{2} \pi R^{2}-(\frac{1}{2} \pi R^{2}- R^{2})=R^{2}$

This proves that the 2 shaded regions have equal area.

5 0

3 years ago