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3 years ago

Draw 2 different shapes with the perimeter of 16 units

1 answer:

4 0

First, we must understand that to find the perimeter of an object you must add up the lengths of each side.

Some options are:

A square (4 sides) with sides of 4 units long.
4x4=16

A rectangle (4 sides) that is 6 units long and 2 units wide
6+2+6+2=16

An octagon (8 sides) with sides 2 units long
8x2=16

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Find the length of AB. Leave

vovikov84 [41]

Answer:

AB = 3π

Step-by-step explanation:

See attachment for correct format of question.

Given

From the attachment, we have that

θ = 20°

Radius, r = 27

Required

Find length of AB

AB is an arc and it's length can be calculated using arc length formula.

$Length = \frac{\theta}{360} * 2\pi r$

Substitute 20 for θ and 27 for r

$Length = \frac{20}{360} * 2\pi *27$

$Length = \frac{20 * 2\pi * 27}{360}$

$Length = \frac{1080 \pi}{360}$

$Length = 3\pi$

Hence, the length of arc AB is terms of π is 3π

3 0

3 years ago

Emma puts $10,000 in a simple interest account at a bank.

goldenfox [79]

Answer: Hi Hope This Helps :D

Step-by-step explanation:

We have to calculate the annual interest rate for the account. Formula for the simple interest is : I = P * r * t, where P is the investment, r is the annual interest rate and t is time in years. In this case: 1,800 = 10,000 * r * 4; 1,800 = 40,000 * r; r = 1,800 : 40,000; r = 0.045, or 4.5 %. Answer: The annual interest rate is 4.5 %

5 0

2 years ago

Need help please, does any one know how to do this

ziro4ka [17]

Answer:

(6-u)/(2+u)
8/(u+2) -1
-u/(u+2) +6/(u+2)

Step-by-step explanation:

There are a few ways you can write the equivalent of this.

1) Distribute the minus sign. The starting numerator is -(u-6). After you distribute the minus sign, you get -u+6. You can leave it like that, so that your equivalent form is ...

(-u+6)/(u+2)

Or, you can rearrange the terms so the leading coefficient is positive:

(6 -u)/(u +2)

2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.

-(u -6)/(u +2) = (-(u +2)-8)/(u +2) = -(u+2)/(u+2) +8/(u+2) = -1 + 8/(u+2)

8/(u+2) -1

Of course, anywhere along the chain of equal signs the expressions are equivalent.

3) You can separate the numerator terms, expressing each over the denominator:

(-u +6)/(u+2) = -u/(u+2) +6/(u+2)

4) You can also multiply numerator and denominator by some constant, say 3:

-(3u -18)/(3u +6)

You could do the same thing with a variable, as long as you restrict the variable to be non-zero. Or, you could use a non-zero expression, such as 1+x^2:

(1+x^2)(6 -u)/((1+x^2)(u+2))

7 0

3 years ago

What is the image of (0, 1) after a reflection over the line y = x?

hjlf

Answer:

(1,0) would be the correct answer.

Step-by-step explanation:

any point that is reflected across y=x will change unless it is on the line. if reflected across y=x, the coordinates will become y,x

8 0

3 years ago

Help I don't know how to do this

Vilka [71]

Answer:

P(t) = 282.2(1.009)^t

Step-by-step explanation:

Look at the attached image.

Hope you can read my handwriting. the image cut off the right side, b = 1.009213324... but question asks to round to nearest thousandth so it's 1.009

For the second part just use the equation to find P when t = -1 and see if P is less than (underpredicts) the number from the question or greater than (overpredicts) the number. I haven't calculated it but I think it will be smaller and thus underpredicts just from looking at the numbers when t = -1

6 0

3 years ago