If x = 7 units, y = 3 units, and h = 9 units, find the area of the trapezoid shown above using decomposition.

Answer:

A. 2:6

Step-by-step explanation:

we want to find the ratio of yellow sections to total sections

we are given that there are 2 yellow sections and 6 total sections

so the ration of yellow to total sections would be 2:6

Answer:

A) 2:6

Step-by-step explanation:

There is 2 yellow sections and total of 6 sections.

So it is 2:6

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Explanation:

The data set is

{0,0,0,1,2,2,2,2,2,3,4}

The median is the middle-most value. To find it, cross off the outer pair of values until you narrow in on the median of 2. It should be the second copy of it. Check out the diagram below to see what I mean.

Then break up the set into

L = {0,0,0,1,2}

U = {2,2,2,3,4}

Each subset mentioned has 5 items. The diagram below also shows how set L and set U are formed. L is the stuff below the median, aka lower set. Set U is the upper set, which is stuff above the median.

The median of set L is 0, while the median of set U is 2

So we have the first and third quartiles of Q1 = 0 and Q3 = 2

The difference of these is the IQR

IQR = Q3 - Q1 = 2 - 0 = 2

For some reason, the number 2 shows up a lot in this problem.

Answer:

6 gallons of gas

Step-by-step explanation:

20.00 - 2.12 = 17.88

17.88 divided by 2.98 equals 6

Answer:

[tex]the \: interest \: is \: 123.00(option \: b)[/tex]

Step-by-step explanation:

[tex]rate = 3\% \\ time = 5years \\ principal = 820[/tex]

[tex]interest = \frac{principal \: \times rate \: \times \: time}{100} [/tex]

[tex]interest = \frac{820 \times 5 \times 3}{100} [/tex]

[tex]the \: interest \: is \: 123[/tex]

Answer:

23.80/140 = 0.17 = 17%

Step-by-step explanation:

Answer:

23.80/140 = 0.17 = 17%

Step-by-step explanation:

Answer:

You have to multiply the whole number by the denominator and then add the answer you get with the numerator.

Step-by-step explanation:

For example, the fraction 10 [tex]\frac{3}{5}[/tex]  is a mixed number, right? So then you multiply 10x3=30. Then you add 30+5=35. So then the answer would be [tex]\frac{35}{5}[/tex].

Hope this helps! Please give brainlist!

Answer:

The answer is C) - |x - 2| + 3 = 0

Step-by-step explanation:

a) - |x - 2| + 3 > 0

The greater than means something above the graph.

b) - |x - 2| + 3 < 0

The less than means something below the graph.

c) - |x - 2| + 3 = 0

The zero doesn't do anything.

y = - a |x - h| + k = 0

(h,k) is the origin.

h is shift left/right, h = 2 so shift right 2.

k is shift up/down, k = 3 so shift up 3.

The a, affects the y-values which cause the graph to reflect across the x-axis.

Answer:

a) as a simplest fraction in the simplest form, the answer would be 5/12

b) as a decimal it would be 0.41

c) as a percentage it would be 41.67%

Answer:

Step-by-step explanation:

In order to determine the equation, consider that any exponential growth equation can be written as follow:

[tex]f(t)=A(1+r)^t[/tex]

where,

f(t): amount of bacteria after t hours

A: initial amount of bacteria  = 3

r: growth rate in decimal form = 0.15  (15%)

t: time in hours

By replacing the previous values into the expression for f(t) you get;

[tex]f(t)=3(1+0.15)^t\\f(t)=3(1.15)^t[/tex]

Hence, the answer is f(t) = 3(1.15)^t

Now, replace t = 13 to determine the amount of bacteria after 13 hours:

[tex]f(13)=3(1.15)^13\\f(13)=18.46[/tex]

Hence, after 13 hours there are approximately 18 bacteria

Answer:

5.3

You split them up into smaller root numbers and add them together

Answer:

5.3

Step-by-step explanation:

its quite simple well for my sister but- Anyways hope this helps!

Answer:

B and w= 15

Step-by-step explanation:

w+ 10 = 25

25-10 = 15

Answer:

option C

Explanation:

For Naomi's rectangular prism:

⇒ Length × Width × Height

⇒ 5 × 14 × 2

⇒ 140 cm³

For Ben's triangular prism:

⇒ 1/2 × Base × Height × Length

⇒ 1/2 × 5 × 4 × 14

⇒ 140 cm³

The prism's have the same volume.

Answer: Choice C

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Explanation:

The volume of the rectangular block is:

V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.

Now move onto the triangular prism.

The triangular face has a base of 5 cm and height of 4, so the area of this face is

A = base*height/2 = 5*4/2 = 20/2 = 10 square cm

Multiplying this with the depth of the prism tells us the volume is

V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm

Therefore, the prisms have the same volume.

Answer:

d

                          Im pretty sure its d

Answer:

B.

Step-by-step explanation:

To dilate is to make something bigger. It says in the question that you dilate by a factor of 2, so multiply the length of the side by 2. This will get you 68.

As far as angles are concerned, angles do not change when the object is scaled bigger. So for the angle of A, the answer is still 28 degrees.

This leaves us with our final answer, which is B.

Answer:

16 is equivalent to 2/3 therefore you just multiply by 3/2 because 2/3 times 3/2 gives you one which would give you the number of square feet per hour and x would be the amount of square feet per hour made. To show in steps...

16=2/3x

16(3/2)= 2/3 (3/2)

24=1 hour

Pls Brainliest

Answer:

(1)

A : 1/3

B: 3/2

C: 3/5

(2.) : 3/4

(3): 2

Step-by-step explanation:

Answer:

I hope I did this right but

Box 1 - Surface Area = 324

Box 2 - Volume = 360

Step-by-step explanation:

Surface Area for rectangular prism - SA = 2(lw) + 2(lh) + 2(wh)

Volume for rectangular prism V = lwh

Answer:

√4

Step-by-step explanation:

because 9x9=81

Hope this helps!!

Answer:

the probability of tossing heads is 1/2 and rolling number less than 4 is 1/3

Answer:

C. The typical value is greater in set B. The spread is greater in set A.

Step-by-step explanation:

A typical value is the center of the dot plot, which is often found by finding the mean or median of the set. Both sets have 5 dots plotted. The spread of a set is how far the plotted values are from this center (mean or median).

Set A is shown to have more data spread out; values range from 0 to 7.

Set B is shown to have data that is more condensed and at higher values; ranges from 6 to 9, with two of the five points plotted at 6.

Set B has a higher typical value. Set A has a greater spread.

Answer:

4 miles

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Use Pythagorean therum for this problem

3² + 2² = c²

9 + 4 = 13

√13 = 3.6

Answer:

S(A) = 306 in²

Step-by-step explanation:

The surface area of a rectangular prism can be found using the following equation:

SA(rectangular prism) = 2(wl + hl + hw)

Note:

w = width = 6

h = height = 12

l = length = 4.5

Plug in the corresponding numbers to the corresponding variables:

SA(rectangular prism) = 2((6 * 4.5) + (12 * 4.5) + (12 * 6))

SA(rectangular prism) = 2((27) + (54) + (72))

SA(rectangular prism) = 2(27 + 54 + 72)

SA(rectangular prism) = 2(153)

SA(rectangular prism = 306

S(A) = 306 in²

We suppose that Joey forms an encasing ring around the round cake, basically going through the entire circumference of the round cake.

As circumference is

Answer:

The answer is 152

Step-by-step explanation:

They should add up to 180

Answer:

2.08% chance of drawing 4 of a kind

Step-by-step explanation:

all you gotta do is find what 4 percent of 52 is so in that case you multiply 0.04×52 which I believe would be 2.08