All swimming equipment is on sale with a 15% discount. A snorkeling set regularly sells for $45. Find the discount.

Help test due tonight!! *no links please *

Stella [2.4K]

Answer:

Add one to all the x and subtract 4 to all the y values

Step-by-step explanation:

(1,4)= (2,0)

(-4,2)=(-3,-2)

(4,-3)=(5,-7)

8 0

3 years ago

a cone with a radius of 3” has a total area of 24pie square inches. Find the volume of the cone. 12pie, 24 pie or 15 pie

Ratling [72]

Answer:

$12\pi (inches)^{2}$

Step-by-step explanation:

Given:

radius of cone = 3 inch

Total area of cone = $24\pi (inch)^{2}$

Find the volume of the cone?

We know the area of cone = $\pi r(r+s)$ -------(1)

Where r = radius

Ans s = side of the cone

Put the area value in equation 1

$24\pi=\pi r(r+s)$ -------(1)

$\frac{24\pi }{\pi r} =r+s$

$\frac{24}{ r}-r =s$

Put r value in above equation.

$s =\frac{24}{ 3}-3$

$s=8-3$

$s=5$

The side s = 5 inches

We know the side of the cone formula

$s^{2}=r^{2}+ h^{2}$

$h^{2}=s^{2}- r^{2}$

Put r and s value in above equation.

$h^{2}=5^{2}- 3^{2}$

$r^{2} = 25-9$

$r^{2} = 16$

$r = 4$

The volume of cone is

$V = \frac{1}{3} \pi r^{2} h$

Put r and h value in above equation.

$V = \frac{1}{3} \pi (3)^{2}\times 4$

$V = 12\pi (inches)^{2}$

The Volume of the cone is $12\pi (inches)^{2}$

7 0

3 years ago

Steel Factory Workers Ages

igor_vitrenko [27]

Solution: We are given the population mean $=42$

Now, in order to find which shift's mean is closest to population mean, we will find the mean of each shift.

The mean of shift 1 is:

$Mean=\frac{18+25+56+42+29+38+54+47+35+30}{10}=\frac{374}{10}=37.4$

The mean of shift 2 is:

$Mean=\frac{23+19+50+49+67+34+30+59+40+33
}{10}=\frac{404}{10}=40.4$

The mean of shift 3 is:

$Mean=\frac{19+22+24+40+45+29+33+29+39+59 }{10}=\frac{339}{10}=33.9$

The mean of shift 4 is:

$Mean=\frac{21+23+25+40+35+19+70+40+22+23 }{10}=\frac{318}{10}=31.8$

We clearly see the mean of shift 2 is close to the population mean. Hence the option B) Shift 2 is correct.

7 0

3 years ago

Read 2 more answers

pickupchik [31]

Answer:

2.4cm

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

that means two lengths of the triangle have to be multiplied.

and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.

multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).

so, if the area of triangle 1 is

"baseline 1" × "height 1" / 2 = 45 cm²

then the area of triangle 2 is

"baseline 2" × "height 2" / 2 =

= "baseline 1"×f × "height 1"×f /2 =

= "baseline 1" × "height 1" × f² / 2 =

= ("baseline 1" × "height 1" / 2) × f² =

= 45 × f² = 20 cm²

f² = 20/45 = 4/9

f = 2/3

so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is

3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm

4 0

3 years ago

if 62% percent of people voted in a community of about 55,200 eligible voters how many people were registerd

solniwko [45]

62% of 55,200...turn ur percent to a decimal..." of " means multiply
0.62(55,200) = 34,224 <==

although, just because u r registered, does not mean u vote.

6 0

3 years ago