What is a Gratitude to you?

Water is being drained out of a swimming pool at a constant rate of 780 gallons per hour. The swimming pool initially contained

nata0808 [166]

Answer:

Step-by-step explanation:

5 0

3 years ago

How many feet long is the shadow of a 15-foot flagpole if a 5-foot woman standing at the base of the flagpole has a shadow that

Vikentia [17]

The height of flagpole is 12.5 feet.

Step-by-step explanation:

Given,

Height of woman = 5 foot

Shadow of woman = 6 feet

Ratio of height to shadow = 5:6

Shadow of flagpole = 15 foot

Height of flagpole = x

Ratio of height to shadow = x:15

Using proportion;

Ratio of height to shadow :: Ratio of height to shadow

$5:6::x:15\\$

Product of mean = Product of extreme

$6*x=15*5\\6x=75$

Dividing both sides by 6

$\frac{6x}{6}=\frac{75}{6}\\x=12.5$

The height of flagpole is 12.5 feet.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

8 0

3 years ago

Find the area of the shaded region. enter a decimal rounded to the nearest tenth

pav-90 [236]

Answer:

78.42

Step-by-step explanation:

Area of 360 - 80 degree region.

You need to find out the region of the major arc where the circle is almost complete. The area left over will be calculated later

Angle = 360 -80

Angle = 280 degrees.

Area = $\frac{angle*3.14*r^2}{360}$

Area = $\frac{280*3.14*5^2}{360}$

Area = 23800/360

Area = 66.11

Area of the Triangle with sides of 5 cm each

Here's where I get into a bit of trouble. I have to assume you know some trig.

Find the height

Cos(40) = The height / the hypotenuse

Cos(40) = h/5

0.7760 = h/5

h = 0.7760*5

h = 3.830

Find 1/2 the base (the chord of the circle)

Sin(40) = 1/2 base / hypotenuse

Sin(40) = 1/2 b / 5 Multiply both sides by 5

1/2 b = 5*sin(40) Find the sin(40)

1/2 b = 5*.6428 Combine the right

1/2 b = 3.139 multiply by 2

b = 6.4278

Find the area of the triangle

Area = 1/2 b * h

b = 6.4278

h = 3.830

Area = 1/2 * 6.4278*3.830

Area = 12.31 cm^2

Total Area

12.31 + 66.11 = 78.42

3 0

3 years ago

Read 2 more answers

Someone please help with this.

morpeh [17]

Answer:

8.2

Step-by-step explanation:

7 0

3 years ago

Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be

Slav-nsk [51]

Answer:

E=5S+2P
P=0.5(E-5S)

$\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|$

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

E=5S+2P

Next, we make P the subject of the equation above.

2P=E-5S

$P=\dfrac{E-5S}{2} \\P=0.5(E-5S)$

Therefore, The quantity of pizza he buys can be represented by the equation:

P=0.5(E-5S)

When E=$40, we are required to complete the table below.

$\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|$

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

$\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|$

4 0

4 years ago