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4 years ago

Find the diameter of a circle with circumference of 15.70

Mathematics

1 answer:

Elanso [62]4 years ago

7 0

Find the diameter of a circle with circumference of 15.70

Solution: We are given:

The circumference of a circle $=15.70$

We are required to find the diameter of the circle based on given circumference.

We know that:

$Diameter = \frac{circumference}{\pi}$

$=\frac{15.70}{3.1416}$ $\because \pi \approx 3.1416$

$=5.00$ rounded to two decimal places

Therefore, the diameter of the circle with circumference 15.70 is 5

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Omar wants to purchase a bike helmet for 22.55 and a bike for 134.45.

noname [10]

Answer:

$169.96 dollars

Step-by-step explanation:

Given the following questions:

8.25% of 22.55 and 134.45

In order to find the answer, we will have to add the initial costs of the items together, then we will calculate using the formula for percentages to find the tax rate.

$22.55+134.45=157$
$157$

Calculate the percentage:
 $\frac{p\times c}{100}$
$\frac{8.25\times157}{100} =8.25\times157=1295.25\div100=12.9525$
$=12.9525$
$12.9525$
$2 < 5$
$=12.96$

Add the sales tax:
$157+12.96=169.96$
$=169.96$

Which means the two items along with an 8.25% sales tax costs "$169.96 dollars."

Hope this helps.

5 0

2 years ago

Quadrilateral ABCD is plotted with coordinates A(3,7), B(6,1), C(-6,-8) and D(-5,1). Using coordinate geometry, prove that ABCD

tiny-mole [99]

Answer:

Step-by-step explanation:

4 0

2 years ago

A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma

Nata [24]

Answer:

The equations represent the situation is $y=2x+6$ and $y=5+3x$ .

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is x and the larger number is y.

y, is equal to twice the sum of a smaller number and 3.

This information can be written as: $y=2(x+3)$

Which can be further solve as:

$y=2x+6$

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: $y=5+3x$

Thus, the equations represent the situation is $y=2x+6$ and $y=5+3x$ .

Which can be further solve as:

$2x+6=5+3x$

$x=1$

Now, substitute the value of x in $y=5+3x$ .

$y=5+3$

$y=8$

3 0

3 years ago

Read 2 more answers

Write an equation for the line in slope-intercept form.

atroni [7]

Answer:

y=3x+5

Step-by-step explanation:

Slope is rise/run. To find it, you first see how many units it goes up, followed by how many units it goes to the right. If you look at the point (-1, 2), it rises 3 tiles, and runs 1 tile until it hits the next whole number. Because your little formula is rise/run, it would be 3/1, or 3. And to get your y-intercept, it's just when it intersects the y-axis, which is at 5. So, your equation would be y=3x+5

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3 years ago

Which of these triangles appears not to be congruent to any others shown

Romashka [77]

Answer:

Options (B) and (D)

Step-by-step explanation:

If two triangles have the same size and shape they are said to be congruent triangles.

Triangles given in the attachment,

Triangles A and E appear to be congruent.

And triangles C and F appear to be congruent.

[Since corresponding sides of these triangles don't appear to be the same in measure]

Remaining triangles B and D do not appear to be congruent.

Therefore, Options (B) and (D) will be the answer.

7 0

3 years ago

Read 2 more answers