Solve algebraically for x: -2/3(x+12)+2/3x=-5/4x+2 pls explain​

[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

0 3 6 9 12 15 18

(each tick mark = +3)

Answer:

Step-by-step explanation:

Total surface area comprises one rectangular base and two pairs of diferent triangles.

Area of rectangle

Area of triangle

Substitute and find

Area of base rectangle

Area of rest triangles

Now

TSA

Answer:

The Answer Is 240in^3

Step-by-step explanation:

I Took The Test And Got It Right.

The Volume of the fish tank is 240 in³.

The correct option is (D).

The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.

Given:

The figure can be differentiated into two shapes;

The volume of the rectangle is known as:

= Length × Breadth

= 7 inches × 5 inches

= 35 inches²

The volume of the triangle is:

= 1/2 × base × height

= 1/2 × 2 × 5

= 5 inches²

The total volume of the base of the fish tank now is:

= 35 inches² + 5 inches²

= 40 inches²

Now, the volume of the fish tank is:

= Height × base of the fish tank

= 6 inches × 40 inches²

= 240 in³

Learn more about the volume of plane shapes here:

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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:

A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?

Answer:

5

Step-by-step explanation:

range is biggest number minus smallest number.

First arrange the numbers from least to greatest.

4, 4, 5, 6, 8, 9, 9

Subtract the biggest number, 9, from the smallest number, 4.

9 - 4 = 5

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

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=-6/29

y=-17/29

Step-by-step explanation:

we have the system of equations

-13x+8y=-2  ------> equation 1

2x+y=-1 ------> equation 2

Solve by elimination

step 1

Multiply equation 2 by -8 on both sides

-8[2x+y=-1 ] ---------> -16x-8y=8 ------> equation 3

step 2

Adds equation 1 and equation 3

-13x+8y=-2

-16x-8y=8

-----------------

-29x=6

x=-6/29

Find out the value of y

substitute the value of x in any equation

2x+y=-1

2(-6/29)+y=-1

-12/29+y=-1

y=-1+(12/29)

y=-17/29

therefore

The answer is

x=-6/29

y=-17/29

Answer:

2 apples are left

Step-by-step explanation:

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:

81 square yards

Step-by-step explanation:

width- 9 ft

length- 9ft

width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.

Hope this helps.

BTW it's my birthday

Answer:

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

Answer:

16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.

Therefore 48 * 4 = 192 servings.

A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,

As we know,16 cups are in a gallon,

1 gallons = 16 cups

3 gallons = 3 × 16 cups

3 gallons = 48 cups

If 1 cup of milk works for 4 servings,

The number of servings that can be made from three gallons will be,

=48 × 4

= 192 servings.

Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

Learn more about the arithmetic operation here:

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Answer:

599>w

Step-by-step explanation:

Since the max was 599 we need to show that the weight or w has to be less than 599

Answer:

599 ≥ w

Step-by-step explanation:

The other person is wrong

It can hold 599 pounds, and anything less than that, so we use this symbol

Answer:

What is the length of a rectangle if the width is

10 centimeters and the diagonal is 16 centimeters?

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.

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:

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.

Step-by-step explanation:

the formula for the mid point is:

{(x1 + x2)/2 , (y1 + y2)/2}

so using the formula we get:

(15, 5)

also are you sure that the question wants the midpoint? since the answer is not included in the choices

Answer:

C(15,3)

Step-by-step explanation:

Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]

               = [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]

               = 15,5 (which is closest to C, i think there is a mistake in the        question as there is only one formula to find midpoint so y coordinate has to be 5)

Answer:

(Sorry if this answer is not correct, if it is or is not, please tell me in the comments!)

232.777778 feet squared (feel free to round the answer)

Step-by-step explanation:

The formula on how to find the volume is:

(the area of the floor) x (the height of the room) = 2025 cubic feet

We already know the height, so we need to plug it in.

(the area of the floor) x 9 feet = 2095 cubic feet

To get the area of the floor, we need to divide 2095 by 9.

So, the area of the floor is exactly 232.777778 feet squared.

Answer:

225 ft²

Step-by-step explanation:

Formula

Solving :

Answer:

One solution

Step-by-step explanation:

Discriminant

[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]

[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]

[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]

Given equation:

[tex]-8x^2-8x-2=0[/tex]

Swap sides:

[tex]\implies 8x^2+8x+2=0[/tex]

Using discriminant:

[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]

Therefore, there is one solution

--------------------------------------------------------------------------------------------

Proof

[tex]8x^2+8x+2=0[/tex]

Divide both sides by 2:

[tex]\implies 4x^2+4x+1=0[/tex]

Separate the middle term:

[tex]\implies 4x^2+2x+2x+1=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]

Factor out the common term [tex](2x+1)[/tex]:

[tex]\implies (2x+1)(2x+1)=0[/tex]

Therefore:

[tex]\implies 2x+1=0[/tex]

[tex]\implies x=-\dfrac12[/tex]

Thus proving there is one solution.

Here

Discriminate

Roots are equal hence one solution

Answer:

O The independent variable is T and P is the dependent variable

O The P increases by 2 as T increases by 1

Answer:

34

Step-by-step explanation:

Since this an isosceles triangle we can say the length of AB = AC

2x - 1 = x + 7

2x - x = 7 + 1

x = 8

The perimeter is calculated by adding all side lengths

2x - 1 + x + 7 + x - 4 = Area add like terms

4x + 2 = Area replace x with the value we found

4*8+2 = 34 units square

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]

Arc length

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:

5 : 7

Step-by-step explanation:

Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7

Answer:

5:7

Step-by-step explanation:

The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7

Answer: A is (arithmetic sequence)

and D is 1 2 3 4 5 6 7

Unfortunately, I only know the answer to those two.

Sorry.