Sue wants 1 / 3 of a rectangular pan of cornbread. Dena wants 1 / 2 of the same pan of cornbread. How should you cut the cornbread so that each of the girls gets the size portion she wants?

Answer:

[tex]x=7.8[/tex]

Step-by-step explanation:

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse.

The angle marked 33 degrees has its opposite side labelled with [tex]x[/tex] and the hypotenuse of the triangle labelled with 12.

Thus, we can set up the following equation to solve for [tex]x[/tex]:

[tex]\tan 33^{\circ}=\frac{x}{12},\\x=12\tan 33^{\circ}=7.79289111837\approx \boxed{7.8}[/tex]

Answer:

Step-by-step explanation:

tan(33°) = x/12

x = 12tan(33°) ≈ 7.79

Given:

The compound inequality is:

[tex]2<x+5<7[/tex]

To find:

The integer solutions that satisfy the given inequality.

Solution:

We have,

[tex]2<x+5<7[/tex]

Subtracting 5 from each side, we get

[tex]2-5<x+5-5<7-5[/tex]

[tex]-3<x<2[/tex]

All the real numbers between -3 and 2 are in the solution set but -3 and 2 are not included in the solution set.

The integers between -3 and 2 are -2, -1, 0, 1.

Therefore, the integer solution of the given inequality are -2, -1, 0, 1. The answer as an inequality is [tex]-3<x<2[/tex].

Answer:

16 people

Step-by-step explanation:

35.75 times 16 is 572, times 17 is 607.75, he only has 600 and he cant have a fraction of a person, so he can have 16 people

Answer:

[tex]Area = 216.108cm^2[/tex] --- You

[tex]Area = 216.940cm^2[/tex] --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

[tex]Length = 20.70cm; Width =10.44cm[/tex]

Another students'

[tex]Length = 20.74cm; Width =10.46cm[/tex]

Solving (a): The area

Area is calculated as:

[tex]Area = Length * Width[/tex]

For you

[tex]Area = 20.70cm * 10.44cm[/tex]

[tex]Area = 216.108cm^2[/tex]

For the other student

[tex]Area = 20.74cm * 10.46cm[/tex]

[tex]Area = 216.940cm^2[/tex]

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

Answer: Undefined

Step-by-step explanation:

Replace x with -5

Answer:

(y−1)(y−2)(y+3)

Step-by-step explanation:

Factor y3−7y+6

y3−7y+6

=(y−1)(y−2)(y+3)

Answer:

(y - 2) (y-1) (y+3)

Step-by-step explanation:

y³-7y+6

= y³ +2y² - 2y² - 3y - 4y +6

= ( y³ +2y² - 3y) - (2y² + 4y -6)

= y( y² +2y -3) - 2( y² + 2y -3)

= (y² +2y -3)(y-2)

= ( y² +3y -y -3)(y-2)

= [ y( y+3) -(y+3)] ( y-2)

= (y-1)(y+3)(y-2)

Answer:

[tex]A(x) = 12000(1.04)^x[/tex]

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that [tex]P = 12000[/tex]

Compounded at 4% interest annually.

This means that [tex]r = 0.04, n = 1[/tex]

What equation will calculate the value in x years?

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]

[tex]A(x) = 12000(1 + 0.04)^x[/tex]

[tex]A(x) = 12000(1.04)^x[/tex]

Answer:

x=3 and x=-2 is the root of given eq

Answer:

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?

x = –2 or x = 3 is the answer

Step-by-step explanation:

Answer:

1 ± √19i

Step-by-step explanation:

9514 1404 393

Answer:

  5

Step-by-step explanation:

Use the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -0)²+(3 -0)²) = √(4² +3²) = √(16 +9) = √25

  d = 5

The distance between the two points is 5 units.

_____

Additional comment

The most commonly seen Pythagorean triples are (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) and their multiples.

In problem 4, once you see that the differences of the coordinates are 3 and 4, you can consult your memory of the (3, 4, 5) Pythagorean triple to recognize the hypotenuse length of a triangle with sides 3 and 4 is 5.

Similarly, in problem 5, you recognize the coordinate differences as 5 and 12, so you know from the (5, 12, 13) Pythagorean triple that the distance will be 13.

Answer:

125

Step-by-step explanation:

the bearing of b to a is equal to 85+45

Answer:

18

Step-by-step explanation:

f(x) = 2x^2

Let x = -3

f(-3) = 2 * (-3)^2

Exponents first

f(-3)=2 *9

f(3) = 18

Answer:

f ( - 3 ) = 18

Step-by-step explanation:

f ( x ) = 2x²

Find f ( - 3)

let , x = - 3

lf ( - 3 ) = 2 ( -3 )²

f ( - 3 ) = 2 × ( - 3 )²

Evaluate the power

f ( -3) = 2 × 9

multiply the numbers

f ( - 3 ) = 18

Answer:

Y intercept = (0;6)

X intercept = (42/5;0)

Answer:

ffffffssssssssssssssssscv

Step-by-step explanation:

Answer:

Your answer should be 647.51

Explanation : the price was 215.949 in December, 2009.

the price was 233.049 in December, 2013.

divide 233.049 by 235.949 and got 1.079185363.

multiply that by 600 and got 647.5112179.

The cost of the TV in 2010 is $647.5

Given that the complete information contains the Consumer Price Index values:

To find the CPI,

CPI= [tex]\frac{C_t}{C_0}[/tex]

Where C_t= cost of the market basket in the current period

C_0 = cost of the market basket in the base period

In December 2009, the price was 215. 949

In December 2013, the price was 233.049

Hence,

215. 949/233.049

= 1.079185363.

Then we would multiply by the base selling price

[tex]1.079185363 * 600 = 647.5112179.[/tex].

Read more about the consumer price index here:

https://brainly.com/question/1889164

#SPJ6

Answer:

Option C: 20 cm^2

Step-by-step explanation:

Essentially, surface area is just area added up. In this question, there are 4 same rectangles and 2 squares with the areas given. So you have to figure out the total.

Since there are 4 rectangles and each of them has an area of 4cm just multiply 4 by 4 to get 16.

Then, since there are 2 squares with an area of 2 cm each just multiply 2 by 2 to get 4.

Add both numbers, 16 + 4 = 20 and you get your answer.

The total surface area would be 20cm^2.

Answer:

y-y1=m(x-x1)

y+4=6(x+1)

y=6x+2

Answer:

133 answer ---------------------------------------- helpful answer

Answer:

4d - 0.22

Step-by-step explanation:

Answer:

The answer is 0.60b + 0.30w = 150; 60 + 0.30w = 150

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

y-18=14

y=14+18

y=32

substitute the vale of y

3(y+5)

3(32+5)

3*37

111

Answer:

[tex]x = -2; x = 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -x^2 + 4x + 12[/tex]

[tex]g(x) = x +2[/tex]

Required

For what value of x is: [tex]f(x) = g(x)[/tex]

[tex]f(x) = g(x)[/tex] implies that

[tex]-x^2 + 4x + 12 = x + 2[/tex]

Collect like terms

[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]

[tex]-x^2 + 3x + 10 = 0[/tex]

Expand

[tex]-x^2 + 5x-2x + 10 = 0[/tex]

Factorize

[tex]-x(x - 5)-2(x - 5) = 0[/tex]

Factor out x - 5

[tex](-x - 2)(x - 5) = 0[/tex]

Solve for x

[tex]-x - 2 = 0; x - 5 = 0[/tex]

So:

[tex]x = -2; x = 5[/tex]

Answer:

980

hope it helps

Answer:

7,982 ft

Step-by-step explanation:

c = πd

25077 = πd

Divide both sides by π

25077/π = d

d = 7,982 ft

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

I think the 25077 number in the question might be a typo

Just divide the correct number by 3.14 to get the diameter.

Answer:

Th answer is D

Step-by-step explanation: