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3 years ago

You start at (3, 0). You move down 5 units and right 1 unit. Where do you end?

Mathematics

1 answer:

nevsk [136]3 years ago

8 0

Answer:

Pretty sure it's (4, -5)

Step-by-step explanation:

If not, shoot me I guess.

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Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they bo

stich3 [128]

First, let's make an equation as to how to find how much money they have altogether:

(M stands for the # of month)

Jaclyn: 120 + 40m
Pedro: 180 + 20m

So let's plug-in 1 for m (1 will stand for 1 month)

Jaclyn: 120 + 40 * 1 = 160
Pedro: 180 + 20 * 1 = 200

I made a table depicting how much they'll make for the next 5 months (attached below). According to that, on month 3, they will have made the same amount of money (or $240).

So they will have the same amount of money in 3 months. Hope this helps! :)

6 0

3 years ago

What is the radius of a sphere with a volume of 1/6 pie

Yakvenalex [24]

Answer:

$\large\boxed{the\ radius\ R=\dfrac{1}{2}}$

Step-by-step explanation:

The formula of a volume of a sphere:

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

We have

$V=\dfrac{1}{6}\pi$

Substitute:

$\dfrac{4}{3}\pi R^3=\dfrac{1}{6}\pi$ divide both sides by π

$\dfrac{4}{3}R^3=\dfrac{1}{6}$ multiply both sides by 3

$3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}R^3=3\!\!\!\!\diagup^1\cdot\dfrac{1}{6\!\!\!\!\diagup_2}$

$4R^3=\dfrac{1}{2}$ divide both sides by 4

$R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}$

3 0

3 years ago

The perimeter of the rectangle below is 94 units. Find the length of side BC.

Ilya [14]

Answer:

Length BC = 26

Step-by-step explanation:

Perimetre = 94

; Perimetre = 2(2x + 3) + 2(3x - 1)

; 94 = 4x + 6 + 6x - 2

; 94 - 4 = 10x

; 90 = 10x

;Therefore the value of x = 9....Hence the length of BC

BC = 3(9) - 1

; BC = 26

7 0

3 years ago

Can someone explain this, please?

Lostsunrise [7]

If you notice the terms, they're

7, -21, 63, -189 and so forth.

7*-3 = -21 and -21 * -3 is 63 and so forth, meaning the "common ratio" is -3.

now, for a common ratio say "r", which is a fraction, namely less than ±1 and more than 0, or |r| < 1 , you do have a convergent sequence.

however this one notice, |-3| is 3, and that's greater than 1 clearly, therefore is divergent, meaning the summation has no finite value.

6 0

3 years ago

Martina has a circle with a diameter

klasskru [66]

Answer:

The ratio of the circumference to its diameter remains the same.

Step-by-step explanation:

Given,

diameter of circle = 6 inch

diameter is doubled.

New diameter of circle = 2 x 6 = 12 inch

We know that,

The Circumference of a circle is 2 π r or π d where r is the radius of the circle and d is the diameter of the circle.

Circumference of the circle when the diameter is 6 inches.

C₁ = 6π

Ratio of circumference to diameter

Ratio = $\dfrac{6\pi}{6}$

Ratio = π

When the diameter is 12 inches

C₂ = 12 π

Ratio of circumference to diameter

Ratio = $\dfrac{12\pi}{12}$

Ratio = π

Now, the correct statement is the ratio of the circumference to its diameter remains the same if the diameter is doubled.

4 0

3 years ago