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3 years ago

Please find the volume of the cone!!

Mathematics

1 answer:

daser333 [38]3 years ago

4 0

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

Plugging in our values,

$volume = \frac{1}{3} \times 3.142 \times {1}^{2} \times 2 = \frac{1}{3} \times 3.142 \times 2 = 2.095{m}^{3} \\$

So the answer is,

$2.095{m}^{3}$

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Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60

anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

$L=5W-60$ (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

$Area=W*L=W*(5W-60)$ (Equation #2)

Since the Area of the yard is $800 ft^2$ , then equation #2 turns into:

$800=W*(5W-60)$

Now, we rearrange this equation:

$800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0$

We can divide the equation by 5 :

$W^2-12W-160=0$

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since $(-20)*8=160$ and $-20+8=-12$ . The equation factorised looks like this:

$(W-20)(W+8)=0$

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

$5*20-60=40$

Therefore, the dimensions of the yard are W=20ft and L=40ft.

7 0

3 years ago

Lei had php 150. She spend php 48 for spaghetti and Php 12. For the drinks what percent of her money was left

musickatia [10]

Answer:

She has 60% of money left.

Step-by-step explanation:

You have to find out how much Php that Lei has left :

Php 150 - Php 48 - Php 12 = Php 90

She has a remaining of Php 90. Next, you have to find the percentage by dividing hy original amount and then, multiply by 100 :

(90/150)×100 = (3/5)×100 = 60%

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3 years ago

Which term describes a function in which the y-values form a geometric sequence

romanna [79]

The geometric sequence is a sequence in which the proceeding number is equal to the preceeding number multiplied by a ratio. The expression that represents this sequence is an = a1*r^(n-1) where r is the ratio and n is an integer. This type of formula is exponential

8 0

3 years ago

Write an equation in slope intercept form for a line that passes through the origin with a slope of 3/2

mrs_skeptik [129]

Answer: y = (3/2)x

m = 3/2 is the slope

(x1,y1) = (0,0) is the point we want the line to go through, aka the origin

Use point slope form, plug in the given values, and convert to slope intercept form

y - y1 = m(x - x1) .... point slope form

y - 0 = (3/2)*(x - 0) .... substitution

y = (3/2)x .... final answer in slope intercept form

4 0

3 years ago

Rooster + rooster + rooster =20

Leya [2.2K]

If rooster = 6 eggs =10 banana = 5 and 6+10x5= 56

6 0

3 years ago