A beaker contains 1 1/4 pants of a chemical. A scientist pours the chemical out of the beaker until three fluid ounces remain.

Helen is putting a fence around her flower garden, which is in the shape of half of a circle and a rectangle. If the semicircle

erastova [34]

Answer:

Part 1) Helen will need 38 feet of fencing

Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) The approximate distance around half of the circle is 11 feet

Step-by-step explanation:

Part 1) How much fencing will Helen need?

Find out the perimeter

we know that

The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle

so

$P=2L+W+\frac{1}{2}\pi D$

we have

$L=10\ ft\\W=7\ ft\\D=7\ ft\\\pi =\frac{22}{7}$

substitute

$P=2(10)+7+\frac{1}{2}(\frac{22}{7})(7)$

$P=20)+7+11=38\ ft$

therefore

Helen will need 38 feet of fencing

Part 2) What is the perimeter around the three sides of the rectangular section of the garden?

$P=2L+W$

we have

$L=10\ ft\\W=7\ ft$

substitute

$P=2(10)+7$

$P=20+7=27\ ft$

therefore

The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) What is the approximate distance around half of the circle?

Find the circumference of semicircle

$C=\frac{1}{2}\pi D$

we have

$D=7\ ft\\\pi =\frac{22}{7}$

substitute

$C=\frac{1}{2}(\frac{22}{7})(7)$

$C=11\ ft$

therefore

The approximate distance around half of the circle is 11 feet

4 0

2 years ago

Read 2 more answers

6 clients are throwing a party. Each cake serves 24 servings and has a party of 70 +3staff how many cakes are needed?

Airida [17]

4 cakes are needed fjfnccnfn

8 0

3 years ago

Read 2 more answers

1) James needs to obtain $80,000 for his daughter's future college tuition. He is looking to invest in an

Mazyrski [523]

Answer:

$ 50,340.97

Step-by-step explanation:

From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.

The formula to find Principal in a compound interest question is:

P = A / (1 + r/n)^nt

Where:

A = Total Amount obtained after invested = $80,000

r = Interest rate = 3.1% = 0.031

n = number of times interest in compounded = Quarterly = 4

t = time in years = 15

P = $80,000/(1 + 0.031/4)^4 × 15

P = $80,000/(1 +0.00775)^60

P = $ 50,340.97

Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.

3 0

2 years ago

Through(-2,-3); parallel to 3x+2y=5

Vilka [71]

Step-by-step explanation:

Hey there!

Firstly find slope of the given equation.

Given eqaution is: 3x + 2y = 5.......(i)

Now;

$slope(m1) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y}$

$or \: m1 = \frac{ - 3}{2}$

Therefore, slope (m1) = -3/2.

As per the condition of parallel lines,

Slope of the 1st eqaution (m1) = Slope of the 2nd eqaution (m2) = -3/2.

The point is; (-2,-3). From the above solution we know that the slope is (-3/2). So, the eqaution of a line which passes through the point (-2,-3) is;

(y-y1) = m2 (x-x1)

~ Keep all values.

$(y + 3) = \frac{ - 3}{2} (x + 2)$

~ Simplify it.

$2(y + 3) = - 3x - 6$

$2y + 6 = - 3x - 6$

$3x + 2y + 12 = 0$

Therefore, the eqaution of the line which passes through the point (-2,-3) and parallel to 3x + 2y= 5 is 3x + 2y +12 =0.

Hope it helps...

8 0

2 years ago

Read 2 more answers

Help me plssssss!!!!!!!!!

maksim [4K]

Answer:

3

Step-by-step explanation:

4 0

2 years ago