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2 years ago

Pls explain your work!

Mathematics

1 answer:

mylen [45]2 years ago

6 0

Answer:

find total volume to find what amount is 20%

hack, is put the 20% in alreadyy to find 20% volume

20%=1/5

vcone=1/3(hpir^2)

times thath by 1/5

vcone=1/15(hpir^2)

d/2=r

given

4.8=d

4.8/2=d/2=r=2.4

10=h

V=1/15(10pi2.4^2)

V=1/15(10pi5.76)

V=1/15(57.6pi)

V=3.84pi

V=12.0637 cubic inches=20% of vase

0.5 cubc inches per min

0.5 times t=12.0637

divide both sides by 0.5

t=24.1237

about 24 minutes

Step-by-step explanation:

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Find the area of segment CFD given the following information: radius = 8in, area of ΔCBD = 25.9in2, and m∠CBD = 54° Round your a

Llana [10]

Answer:

A. 4.26 in^2

Step-by-step explanation:

Step 1: Find the area of the sector DBC. Here we have to use the formula.

Area of a sector = Central Angle/360 *π $r^{2}$

The area of the sector DBC = (54/360)*3.14* $8^{2}$

= 30.16

Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD

= 30.17 - 25.9

Area of segment CFD = 4.27in^2

8 0

2 years ago

Elisse has 20 meters of ribbon how many 15 cm of ribbon can be cut from it

ASHA 777 [7]

Answer:

133 pieces of 15cm can be cut from the ribbon.

Step-by-Step Explanation:

Length of ribbon = 20 meters

Length needed to be cut = 15 cm

We will convert meters into centimeters.

1 meter = 100 cm

20 meters = 2000 cm

Number of pieces = $\frac{2000}{15}$

Number of pieces = 133.33

Rounding off to nearest whole number = 133

Hence,

133 pieces of 15cm can be cut from the ribbon.

8 0

2 years ago

PLEASE HELP !!! The cost of a pottery painting party is $9 per person, plus a one-time supply fee of $89. Which of the following

stiv31 [10]

c(x)=9x+89

I know that you don't have the answer listed, but it is the correct answer.

3 0

2 years ago

Read 2 more answers

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

rusak2 [61]

Answer:

$x=30\\y=68\\z=82$

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

$y+z=5x$

The third angle is 14 more than the second

$z=y+14$

And remember that the sum of these three angles must be equal to 180.

$x+y+z=180$

Let's take these equations

$y+z=5x\\z=y+14\\x+y+z=180$

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

$x+y+z=180\\x+(y+z)=180\\x+(5x)=180$

Distribute the + sign

$x+5x=180$

Combine like terms;

$6x=180$

Divide by 6.

$x=\frac{180}{6}\\ x=30$

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example $z=y+14$

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

$x+y+z=180\\30+y+(y+14)=180$

Distribute the + sign and Combine like terms;

$30+y+y+14=180\\44+2y=180\\$

Subtract 44 to isolate 2y.

$2y=180-44\\2y=136$

Now divide by 2.

$y=\frac{136}{2}\\ y=68$

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

$x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82$

5 0

2 years ago

What is the numerator of the simplified sum? StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 E

ozzi

Answer:

4x + 6

Step-by-step explanation:

Given

$\frac{x}{x^2+3x+2}$ + $\frac{3}{x+1}$

Before we can add the fractions we require them to have a common denominator.

Factor the denominator of the first fraction

$\frac{x}{(x+1)(x+2)}$ + $\frac{3}{x+1}$

Multiply the numerator / denominator of the second fraction by (x + 2)

= $\frac{x}{(x+1)(x+2)}$ + $\frac{3(x+2)}{(x+1)(x+2)}$ ← fractions now have a common denominator

Add the numerators leaving the denominators

= $\frac{x+3(x+2)}{(x+1)(x+2)}$

= $\frac{x+3x+6}{(x+1)(x+2)}$

= $\frac{4x+6}{(x+1)(x+2)}$ ← simplified sum with numerator 4x + 6

7 0

2 years ago