Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?

Answers

Answer 1

Answer:

Step-by-step explanation:

is this a quadrilateral? or polygon or triangle?

what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive

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The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet?

Answers

let
L----------> the length of the yard
W--------> the width l of the yard

we know that
the perimeter is equal to
$P=2*[W+L]$
$72=2*[W+L] \n 36=W+L$ --------> equation 1
$L=W+18$ ------> equation 2
substitute equation 2 in equation 1
$36=W+18+W \n 36=2W+18 \n W=(36-18)/2$
$W=9 ft$
$L=W+18 \n L=9+18 \n L=27 ft$

we know that
Area of the rectangular yard is equal to
$A=L*W \n A=27*9 \n A=243 ft^(2)$

Answer:

$2187\text{ ft}^2$

Step-by-step explanation:

Let l be the length and w be the width of yard behind Cindy's house.

We have been given that the length of the yard is 18 feet longer than the width of the yard. We can represent this information in an equation as:

$l=w+18...(1)$

We have been also given that the perimeter of the yard is 72 feet. Since perimeter of a rectangle is 2 times the sum of its length and width, so we can represent this information in an equation as:

$2(l+w)=72...(2)$

Dividing both sides of equation (2) by 2 we will get,

$l+w=36...(2)$

Substituting equation (1) in equation (2) we will get,

$w+18+w=36$

$2w+18=36$

$2w+18-18=36-18$

$2w=18$

$(2w)/(2)=(18)/(2)$

$w=9$

Upon substituting $w=9$ in equation (1) we will get,

$l=9+18$

$l=27$

$\text{Area of rectangle}=l\cdot w$

$\text{Area of rectangle}=27\text{ yards}\cdot 9\text{ yards}$

$\text{Area of rectangle}=243\text{ yards}^2$

Now, we need to convert the area of rectangle form square yards to square feet.

$1\text{ yards}^2=\text{9 foot}^2$

$243\text{ yards}^2=243* \text{9 foot}^2$

$243\text{ yards}^2=2187\text{ foot}^2$

Therefore, the area of yard behind Cindy's house is 2187 square feet.

Find the simple interest paid

$4500, 9%, 3.5 years

Answers

Step-by-step explanation:

Principle (P) =$4500

Rate(R) =9%

Time(T)=3.5yrs

We know,

SI=P×T×R/100

=4500×3.5×9/100

=$1417.5

Which is the expanded form of 3.69?

Answers

The expanded form for 3.69 is 3+0.6+0.09. How you do that is because the three is a whole number so it stays a whole number, the 6 is in the tenths spot and so it would be 0.6 because that is counting tenths. The 9 is in the hundredths spot so it has to be in expanded form as hundredths. And 2 spots over is hundredths so that is how you get that 9 in expanded form.

$3.69=3+0.6+0.09$

What is 5.2E11 in scientific notation

Answers

5.2E11 is the equivalent of scientific notation when you use a calculator.

5.2 x 10¹¹ is its written form.

5.2 is the coefficient.
10 is the base
11 is the exponent

5.2 x 10¹¹ in standard form is 520,000,000,000

You're going to multiply by a factor of 11 or move the decimal place 11 places over to the right. Your answer is 520,000,000,000 or 520 billion.

-cos(-α-3/2π) - sin(α-5π) + sin(-α-7/2π)

Answers

Answer:

Step-by-step explanation:

Two towns A and B are 12.0 mi apart and are located 5.0 and 3.0 mi, respectively, from a long, straight highway. A construction company has a crontract to build a road from A to the highway nad then to B. Analyze a model to determine the length to the nearest tenth of a mile of the shortest road that meets these requirements

Answers

The solution to the problem is as follows:

d=AS+SB=AS+SB'=√(AB"²+B'B"²)
AB"²=12²-2²=140

d=√(140+8²)=√204=14.283 miles

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