What is the value of x^2+y^2 given the following system?
x+y=10
x-y=8

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Radius(r) of cone = [tex]\sf\pink{6cm.}[/tex]

[tex]\rightarrow[/tex] Height(h) of Cone = [tex]\sf\pink{8cm.}[/tex]

[tex]\rightarrow[/tex] Slant height(l) of cone = [tex]\sf\pink{10cm}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\rightarrow[/tex] Length of paper needed to make a cone with above given dimensions (i.e, curved surface area of cone).

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] As we know that,

Curved surface area of cone = [tex]\sf\blue{πrl}[/tex]

On substituting the value of radius(r) and slant height(l) in this formula we get,

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×6×10}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×60}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{1320}{7}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 188.57 cm^2.}[/tex]

Therefore, [tex]\sf\purple{188.57cm^2}[/tex] paper is needed to make a cone of given dimensions.

_____________________________

Hope it helps:)

Step-by-step explanation:

Given:-

To find :-

Concept :-

Solution :-

As we know ,

the formula for finding the curved surface area of cone :- πrl

putting the known values ,

CSA :- 3.14 × 6 × 10 cm²

CSA of cone :- 188.4 cm²

Answer:

6a²

Step-by-step explanation:

6×5² = 6×25 = 150cm²

thank you

Answer:

150 centimeters cubed

Step-by-step explanation:

[tex]6x2^2= 150[/tex]

Answer: 196 degrees

Step-by-step explanation:

Answer:

$4786.72

Step-by-step explanation:

4000(1+0.03/6)^12(3)

Use this formula to find the compounded interest after each 6 months, which would have an interest rate used to increase the amount of money.

Answer:

x=3.48 or -1.98

Step-by-step explanation:

2x^2-3x-8=0

x^2-1.5x-4=0

(x-0.75)^2=0

x^2-1.5x-0.5625=0

(x-0.75)^2-7.4375=0

(x-0.75)=√(7.4375)

x=0.75±√(7.4375)

x=3.48 or -1.98

Answer:

90 degree

Step-by-step explanation:

we can see that angle adf is a right angle which means it's value is 90 degree

Ahhh, the graph! Such an interesting thing. I think I can help you...

The answer is B - (3, -4).

My explanation is this.

In an ordered pair (like the one I just mentioned), the x value and the y value are represented like so: (x, y.)

If you start from the middle of the graph, where the points intersect, if you count three lines over on the horizontal line, that's your x value. 3.

But for the y, since we're counting down on the vertical line, not up, we'll have a -4 instead of a positive.

Therefore the answer (3, -4)

I hope this answers your question.

-Toremi

Answer:

by looking in the copy and learning the tips or step how to do it

Answer:

For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.

Step-by-step explanation:

Hope this helped you understand it better

~Heaven~

Answer:

37 and 43

Step-by-step explanation:

There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.

Answer:

y=2x-5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2, and passes through the point (4,3)

We want to use point-slope form to find this equation of the line, yet we want to write this in slope-intercept form

Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

As we are already given the slope and a point, we can substitute these values into the formula to find the line.

First, substitute 2 as m in the equation:

[tex]y-y_1=2(x-x_1)[/tex]

Now substitute 4 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex]

[tex]y-3=2(x-4)[/tex]

This is the equation of the line in point-slope form.

Now we need to write it in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We can actually get to slope-intercept form from point-slope form.

First, distribute 2 to both x and -4 on the right side

y-3=2x-8

Now add 3 to both sides

y=2x-5

Hope this helps!

Answer:

Chris got 75% correct.

Step-by-step explanation:

[tex]\frac{12}{16}[/tex] x 100 = 75

So, the percentage chris got correct is 75%

Answer:

He got 75% correct

Step-by-step explanation:

you can do it like this:

[tex]\frac{12}{16}[/tex] × 100 = 3× 25= 75%

Hope you understood and it helped!!

Answer:

Maya, Pablo

Step-by-step explanation:

We solve the inequality to find how big x must be to fit the inequality.

[tex]\frac{3}{5}x > 6\\ x > 10[/tex]

Since x has to be greater than 10, anyone with an answer above that is correct.

Maya and Pablo are the only two.

Answer:

2nd and 4th option

Step-by-step explanation:

The equivalent expression is,

⇒ 4 (5 - 2d)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 20 - 8d

Now, We can simplify the expression as;

⇒ 20 - 8d

⇒ 4 x 5 - 4 x 2d

⇒ 4 (5 - 2d)

Thus, The equivalent expression is,

⇒ 4 (5 - 2d)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

the answer is 725.71

Step-by-step explanation:

Answer:

3 1/4 pounds

Step-by-step explanation:

Marco starts with 8 1/2 pounds, to make things easier rewrite it as 8.5.

He uses 1/4 (or .25) of the apples. 8.5 * .25 = 2.125. Subtract this 2.125 from the 8.5 since it's what's being used. 8.5 - 2.125 = 6.375

Then he uses 3 1/8 (or 3.125) pounds. Subtract 3.125 from the 6.375 we got previously to get 3.25.

Marco has 3.25 pounds left which can be rewritten as 3 1/4 pounds.

Answer:

teacher's age: 30

student's age: 15

Step-by-step explanation:

T = 15 + S

from above,

(T+15)/(s+15) = 3/2

by substitution,

(15+S +15)/(S+15) = 3/2

cross multiply,

2(S+30) = 3(S+15)

2S + 60 = 3S + 45

60 = S + 45

s = 15

T = 30

Answer:

(x + 2)(3x + 4)

Step-by-step explanation:

3x² + 10x + 8

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 8 = 24 and sum = + 10

the factors are + 6 and + 4

use these factors to split the x- term

3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )

= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term

= (x + 2)(3x + 4) ← in factored form

[tex]\\ \rm\Rrightarrow 3x^2+10x+8[/tex]

[tex]\\ \rm\Rrightarrow 3x^2+6x+4x+8[/tex]

[tex]\\ \rm\Rrightarrow 3x(x+2)+4(x+2)[/tex]

[tex]\\ \rm\Rrightarrow (3x+4)(x+2)[/tex]

Done!

Answer:

D no. is for sure another I also don't know. So sorry.......

Answer:

Step-by-step explanation:

Let O be the centre of the circle of radii 10 cm and 8 cm.

In given figure,

AP = PB and OP⊥AB

Applying Pythagoras theorem in ∆OPA, we get

↠ OA² = OP² + AP²

↠ (10)² = (8)² + AP²

↠ 100 = 64 + AP²

↠ 100 - 64 = AP²

↠ 36 = AP²

↠ √36 = AP

↠ 6 = AP

Now,

↠ AB = 2AP

↠ AB = 2(6)

↠ AB = 12 cm

Hence,

Answer:

  b) Jim

Step-by-step explanation:

Given the angle measures lf Jared's triangle, Jim can draw one that is similar. However he cannot draw one that is congruent without knowing the measure of at least one side.

__

Jim is correct that he needs more information.

The statute generates statistical data that is generally cited to support findings is the Truth in Lending Act.

It should be noted that a statistical data simply means factual information that are recorded for analysis purpose.

In this case, the statute generates statistical data that is generally cited to support findings is the Truth in Lending Act. It helps protect unfair credit billing and card practices.

Learn more about statistics on:

https://brainly.com/question/15525560

Answer:

76

Step-by-step explanation:

4+4+4+4+4+4+8+8+18+18 = 76

Answer:

D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle

Hi! To solve this problem, your first step is to:            

                                c2

              Simplify   ———

                               v27

The Equation is at the end of step 1:        c2

                                                        (v3) • ———

                                                                   v27

Now STEP 2:

Dividing exponential expressions : 

2.1    v3 divided by v27 = v(3 - 27) = v(-24) = 1/v24

After we done this, your Final result is:      c2

                                                                   ———

                                                                     v24