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3 years ago

-) Yesterday, Tiana's Snack Shack went through 1/4 of a

Mathematics

2 answers:

enot [183]3 years ago

8 0

Answer:

17/24

Step-by-step explanation:

2 5/6 = $\frac{17}{6}$

$\frac{17}{6}$ * $\frac{1}{4}$ = $\frac{17}{24}$

Reika [66]3 years ago

8 0

Answer:

17/24

Step-by-step explanation:

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What is the length of the cylinder's height? Please help

raketka [301]

Answer:

Height = 9 cm which means Option C is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = 225π cm³

Radius of cylinder = 5 cm

And , we have to find the height of cylinder .

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

Step 1 : Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

Step 2 : Substituting value of radius which is 5 cm in the formula :

$\longmapsto \: (5) {}^{2} \times h = 225$

$\longmapsto \: 25h = 225$

Step 3 : Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

Step 4 : Cancelling 225 by 25 :

$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

Henceforth , height of cylinder is 9 cm

<h2 /><h2>#Keep Learning</h2>

8 0

2 years ago

Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

Rainbow [258]

Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

3 0

3 years ago

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

umka2103 [35]

A polar coordinate is that which can be written as (r, θ) where r is the radius and θ is the angle.

The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,

r² = x² + y²
If we are to simplify this for the r alone, we have,
r = sqrt (x² + y²)

Substituting the known values,
r = sqrt ((4)² + (-4)²) = 4√2

The x and y can be related through the trigonometric function, tangent.
tan θ = y/x
To solve for θ
θ = tan⁻¹(y/x) = tan⁻¹(-4/4) = -45° = 315°

Hence, the polar coordinate is (4√2, 315°)

5 0

3 years ago

Elinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 25

Phoenix [80]

The answer will be 10 months till they're equal

8 0

4 years ago

Please help, I will give brainliest to whoever helps!

Olin [163]

Answer: 0 solutions, II only, 1 solution

Step-by-step explanation:

When the first equation is factored, there are no real solutions that can be found. b^2 - 4ac has to be greater than 0 to have two solutions. x^2 + 2x + 1 is (x + 1) ^ 2, so there is one solution.

4 0

3 years ago