Problem of the Week
Problem C
Locate the Fourth Vertex
Quadrilateral BDFH is constructed so that each vertex is on a different side of
square ACEG. Vertex B is on side AC so that AB = 4 cm and BC = 6 cm.
Vertex F is on EG so that EF = 3 cm and FG = 7 cm. Vertex H is on GA so
that GH = 4 cm and HA= 6 cm. The area of quadrilateral BDFH is 47 cmº.
The fourth vertex of quadrilateral BDFH, labelled D, is located on side CE so
that the lengths of CD and DE are both positive integers.
Determine the lengths of CD and DE.

Answer:

Step-by-step explanation:

y+3 = -6(x-2)

Answer:

absolute volume im pretty sure

Answer:

Step-by-step explanation:

Linear Function: f(x) = mx + b.

Square Function: f(x) = x2

Cube Function: f(x) = x3

Square Root Function: f(x) = √x.

Absolute Value Function: f(x) = |x|

Reciprocal Function. f(x) = 1/x.

Answer:

78.5

Step-by-step explanation:

Radius: 12.5

Circumference: 2 π r

Circumference: 2 π 12.5 = 78.54

Hope this helps!

Answer:  C ≈78.54

Step-by-step explanation:

C=2πr

C=2 π (12.5)

C=25π

C≈78.54

Answer: The widths of Kyle and Myla's boxes is the same as 2 ft.

Step-by-step explanation:

Formula : Volume of cuboidal box = length x width x height

[tex]width=\dfrac{Volume}{length\times height}[/tex]

Given: Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft³ .

[tex]width=\dfrac{12}{2\times3}=2\ ft.[/tex]

Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft³.

[tex]width=\dfrac{16}{4\times2}=2\ ft.[/tex]

Hence, the widths of Kyle and Myla's boxes is the same as 2 ft.

Answer:

Step-by-step explanation:

Volume of cuboidal box = length x width x height

Answer:

62

Step-by-step explanation:

50,50,54,56,60,62,63,64,79,72,72,

median ids the number at the center

50,50,54,56,60(62)63,64,79,72,72

Answer:

2. 1. 3. 3 6 . b. Classify the system, and tell how many solutions it has. 6. ... She spent the entire amount on songs, ... number of music videos Mariana bought. 7. A chemist needs to mix a 2% acid solution and a ... sandwich spread. ... Use the given matrices for Items 13–20. A ... person sold and the amount of money collected.

Step-by-step explanation:

Answer:

2) 50° 3) 55°

Step-by-step explanation:

2) 120 + 10 + x = 180, x = 50

3) 35 + 90 + x = 180, x = 55

Answer:

a. 450 b.  10078.9097

Step-by-step explanation:

a. go with the formula W=FD

F= force

W= work done

D= distance

b. go with the formula F=mgcos(x)

M= mass

G= gravity constant (9.8)

then get to the normal formula of W=FD after getting the Force

Answer:

m<5 = 115

Step-by-step explanation:

This is vertical angle so, 115-50=65

So measure angle 1 is 65 degrees.

These are corresponding angles so 50+65=115

Therefore, m<5 = 115

Answer:

y = 1/ 3 x − 1

Step-by-step explanation:

y intercept is -1 and slope is 1/3x

The slope and y-intercept will be [tex]\rm m=\frac{1}{3} \ and \ c=-1[/tex]. The slope and the intercept are found with the help of the standard equation;

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The given linear equation in the problem is;

[tex]\rm 3x = 9y-9[/tex]

On dividing the whole equation  by 3 we will get;

[tex]\frac{1}{3} x=y-1 \\\\ y= \frac{1}{3} x+1[/tex]

Compare the equation with the standard equation;

[tex]\rm y = mx+c[/tex]

Where m is the slope and c is the intercept. After comparing we will get;

[tex]\rm m=\frac{1}{3} \\\\ c=-1[/tex]

Hence the slope and y-intercept will be [tex]\rm m=\frac{1}{3} \ and \ c=-1[/tex].

To learn more about the slope refer to the link;

https://brainly.com/question/3605446

Answer:

13

Step-by-step explanation:

25 / 5 + 12 - 4 = 5 + 12 - 4 = 17 - 4 = 13

Answer:

1/6 ÷ 2

Step-by-step explanation:

i beleive this is the correct answer because you would be dividing the 1/6 of cereal by 2.

Answer:

y = -2x - 1

Step-by-step explanation:

If you already know the slope. Just find out the y-intercept. Plug the coordinates into the equation.

y = mx + b

y = -2x + b

1 = -2(1) + b

1 = -2 + b

-1 = b

Answer:

Is 5m

Step-by-step explanation:

Im smart yes sirr

Answer:

work out the area which is 4x5x3 this being 60 then divide this by 20 to get 3

The answer is 3kg

Answer:

[tex]density = mass \div volume \\ 20 = x \div 4 \times 3 \times 5 \\ 20 = x \div 60 \\ 20 \times 60 = x \\ x = 1200 \\ 1200 \div 1000 = 1.2kg[/tex]

Answer:

bcd

Step-by-step explanation:

They are two parallel lines, having the same slope, there is no solution since the lines never cross

A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function r(t) = 3t, where t represents time in minutes and r represents how far the paint is spreading.

The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2.

Part A: Find the area of the circle of spilled paint as a function of time, or A[r(t)]. Show your work.

Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem.

Answer:The heck i aint on that im close though

Step-by-step explanation:

Answer:

listen to other guy

Step-by-step explanation:

i need points sorry

Answer:

C. I took the quiz

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The final question is;

Why is it not appropriate to calculate a two-sample z-interval for a difference in proportions?

Answer:

The normality of the sampling distribution of the difference in sample proportions cannot be established.

Step-by-step explanation:

To use the two-sample z-interval for a difference in proportions, some conditions must be met which help us to know the normality of the distribution.

The conditions are;

- The method of sampling for each population must be simple random sampling.

- The samples must be independent.

- Each sample must include at least 10 successes and 10 failures.

- Each population must be a minimum 20 times its sample.

In this case, we are not given the population size and as such we cannot ascertain the last condition I wrote above since the sample proportion we are given alone isn't sufficient. Also, they both don't include at least 10 failures. Thus the normality of the sample proportions cannot be established.

Answer: the normality of the sampling distribution of the difference in sample proportions cannot be established

Step-by-step explanation:

Answer:

B) 3√2

Step-by-step explanation:

FH = √GH²+FG² = √18 = 3√2

Answer:

$9,769.60

Step-by-step explanation:

A = 8000[1 + (.02/12)]^12·10