Raj was given 3/4 of a cake and he ate 3/4 of that part of the cake. how much of the whole cake did he eat?

An Annual is not an example of an agreement.

Answer:

Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so

1+(6-8)=?

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Answer: View the image attached

Step-by-step explanation:

Due to the x being squared the graph will be a parabola. The line is solid due to it being a less than AND equal to and the shading it below due to the symbol facing right. (<)

The volume of the composite figure is 6,330.24 in^3

We know that the volume of half a sphere of radius R is:

V = (2/3)*pi*R^3

Here we know that pi = 3.14 and R = 12 inches, then the volume is:

V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3

And the volume of a cone of height H and radius R is:

v = (1/3)*pi*R^2*H

So here the volume is:

v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3

Then the total volume is:

3,617.28 in^3 +  2,712.96 in^3 = 6,330.24 in^3

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Answer:

82%,170%,65%

Step-by-step explanation:

65% of 80=52

82% of 50=41

170% of 30=51

Answer:

Given:

Sum of edge lengths = TSA of cube

there are 12 edges in a cube

\(12n = 6 {n}^{2} \\ 6 {n}^{2} - 12n = 0 \\ 6n(n - 2) = 0 \\ 6n = 0 \\ n = 0 \\ n - 2 = 0 \\ n = 2\)

n ≠ 0 (since length can't be 0)

therefore n=2

Note that the option or expression that does not belong to the other three is: "-3/4 + 5/8" (Option B)

Note that in A, C, and D, the expression always results in -11/8 or -1.375.

But in the case of option B, the expression when simplified results to -1/8.

Note that:

To solve -5/8 - 3/4 (Option A) we find the Lowest Common Multiple - LCM

⇒ lcm (8,4) =8

-5/8 - 3/4

= -5/8 - 6/8

= -11/8

= -1.375

To solve -5/8 + (-3/4) (Option C)

Follow the same steps above:

lcm (8,4) = 8

-5/8 + -3/4

= -5/8 + -6/8

= -11/8

= -1.375

Solving for Option D, following the same steps, we have:

lcm(4,8)=8

-3/4 - 5/8

= -6/8 - 5/8

= -11/8

= -1.375

However, the solution for option B -3/4 + 5/8 is as follows:

lcm( 4,8 =8

-3/4 + 5/8

= -6/8 + 5/8

= -1/8

= -0.125

Thus, Option B is the odd one out.

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Answer:

A

hope i helped

The length and width of the rectangle are 5 inches and 1 inches respectively.

The length and width of the rectangle can be found as follows;

l = 3 + 2w

area of a rectangle = lw

where

Therefore,

5 = lw

5 = (3 + 2w)w

5 = 3w + 2w²

2w² + 3w - 5 = 0

Hence,

2w² + 3w - 5 = 0

Therefore,

w = 1  and w = - 5 / 2

width = 1 inches

length =  3 + 2(1) = 5 inches

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Answer:

81 grams of zinc

Step-by-step explanation:

Answer: 224,175

Step-by-step explanation:

Answer:

d) Point D

Step-by-step explanation:

\( \sqrt{62} = 7.87400787\)

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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9514 1404 393

Answer:

Step-by-step explanation:

1. Sides with the same mark are congruent:

  7x -4 = 31

  7x = 35 . . . . . . add 4

  x = 5 . . . . . . . . divide by 7

Similarly, ...

  4y +8 = 24 . . . sides with 3 hash marks are the same length

  y +2 = 6 . . . . . divide by 4

  y = 4 . . . . . . . . subtract 2

__

2. The (corresponding) right angles at B and D are congruent, and the angle at A is congruent with itself. This means triangles ABC and ADE are similar by the AA theorem. (Your flow chart might be: (show 2 angles the same) → (claim AA similarity).)

Similar triangles have corresponding sides in the same ratio:

  x/3 = (x+4)/13

  13x = 3(x +4) . . . . . . multiply by 3×13

  10x = 12 . . . . . . . . . . subtract 3x

  x = 1.2 . . . . . . . . divide by 10

Manejo de fracciones

El total de refrescos que compró María es 6.

De esos refrescos se tomó un tercio, o también, la tercera parte.

Esa parte consumida se puede expresar con la fracción 1/3

Para saber cuántos refrescos se tomó, debemos multiplicar 6 por 1/3

Multiplicamos el 6 por el numerador sólamente:

La fracción resulta en una división exacta igual a 2

En resumen, María se tomó 2 refrescos en total

Answer:

perimeter = 12 miles

area = 6 square miles

Step-by-step explanation:

Since it makes a right triangle, use the Pythagorean Formula.

3^2+4^2=c^2

9+16=c^2

25=c^2

5=c, so the hypotenuse of the right triangle is 5.

Perimeter = 3+4+5 = 12 miles

area = 1/2bh (1/2 base times height)

=1/2x3x4

=6

Area = 6 square miles

Answer: 281.7

Step-by-step explanation:

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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Answer

2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt = dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 25 m?

Area of the circle A = πr²

dA/dr = 2πr where r is the radius of the circle

dA/dt = dA/dr * dr/dt

dr/dt is the rate of increase in radius of the oil spill.

Given

dr/dt = 1m/s

radius r = 25m

Substitute into the formula above;

dA/dt = dA/dr * dr/dt

dA/dt = 2πr * 1

dA/dt = 2π(25) * 1

dA/dt = 50πm²/s

dA/dt = 157.1m²/s

Hence the area of the spill is increasing at the rate of 157.1m²/s

Answer:

1/2

Step-by-step explanation:

I did this on paper and I have no idea how to explain.

But I think it is 1/2

Hope this helps!

Answer:

The answer is 1/2

Step-by-step explanation: 2/3 divided by 4/5 is 5/6 and that times 3/5 is 1/2

Answer:

It should be a graph of two branches, one on the top right, and bottom left, and the center of them should be at (-2, 1).

Step-by-step explanation:

f(x)=(x^2-16)/(x^2-2x-8)

= (x+4)(x-4)/(x-4)(x+2)

=(x+4)/(x+2)

=((x+2)+2)/(x+2)

=1+2/(x+2)

So the center is at (-2, 1)

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

x= 12

Step-by-step explanation:

16=24

2x-6= 18

2x= 18+6= 24

2x= 24

x= 24/2= 12

hope it helps!

Answer:

x=12

Step-by-step explanation:

Line AC and line PR are congruent.

2x-6=18

2x=24

x=12

Step-by-step explanation:

can u help me In one question

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped