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3 years ago

The angle measures of a triangle are shown in the diagram.

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

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An 16 16-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering the 16 oz jar,

h = 7 inches

Diameter = 5 inches

Radius = diameter/2 = 5/2

r = 2.5 inches

Volume = 3.14 × 2.5² × 7 = 137.375 inches³

Considering the 29 oz jar,

h = 7.5 inches

Diameter = 5.25 inches

Radius = diameter/2 = 5.25/2

r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

(162.27 × 1.6)/137.375 = $1.89

The price of the larger jar would be $1.89

2) If the cost is directly proportional to weight, then

If 16 oz cost $1.6, then

29 oz would cost

(29 × 1.6)/16 = $2.9

The price of the larger jar would be $2.9

7 0

2 years ago

What function is an example of exponential growth

Artist 52 [7]

Exponential growth functions are the functions that normally take the form
y=ab^x
where:
a=initial value
b=growth rate
x=time
An example of situation that takes this form is the population growth of a particular group say and organism.

5 0

2 years ago

Sophia exchanged 1000 U.S. dollars for the South African currency which is called the rand. The exchange rate was 8.05 rand to 1

saw5 [17]

Answer:

Sophia gets 7,150

Step-by-step explanation:

6 0

2 years ago

Which of the following is the interest on $6000 at 6% compounded semiannually for eight years?

ryzh [129]

Answer:

$3628.24

Step-by-step explanation:

we use the formula for accrued value (A) with compounded interest:

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

where A= accrued value (principal plus the accumulated interest)

P = principal -> in our case $6000

r = annual interest rate (in decimal form) -> in our case 0.06

n = number of compoundings per year. In our case 2 (semiannually)

t = time in years -> in our case 8

$A=P(1+\frac{r}{n})^{n*t}\\A = 6000(1+\frac{0.06}{2})^{16}\\ A= 6000(1+0.03)^{16}\\A = $9628.24$

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:

$9628.24 - $6000 = $3628.24

4 0

2 years ago

Useable energy is lost each time energy is converted to another form of energy, true or false?

shepuryov [24]

Answer:True, becuase every time energy is converted to another form, is some of it is bled off and it made unusable.

Step-by-step explanation:

3 0

2 years ago