2. A countertop for a kitchen is modeled with the dimensions shown below. An
18-inch by 21-inch rectangle will be removed for the installation of the sink.
8 ft
2 ft
Sink
18 in
21 in
5 ft
2 ft
What is the area of the top of the installed countertop, to the nearest square foot?

Answer:

52.9º

Step-by-step explanation:

complementary is when the sum of two angles is 90 degrees

to solve, simply take 37.1 and subtract it from 90:

⇒ 90 - 37.1

⇒ 52.9

Answer:

254.47 inches squared

Step-by-step explanation:

Area of a circle is

[tex]\pi {r}^{2} [/tex]

so to find the radius we half the diameter( which here is 18 inches) which equals to 9

we replace r to 9 because that's the radius

[tex]\pi \times {9}^{2} [/tex]

which is 254.47 inches squared

1

1-

1-

_________________________________________________________

Answer:

0.083

Step-by-step explanation:

151 divided by 1800 is 0.083

might be wrong WARNING

Answer:

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.

Step-by-step explanation:

Confidence interval:

A confidence interval has the following format:

[tex]M \pm zs[/tex]

In which M is the sample mean, z is related to the confidence level and s is the standard error.

55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.2%.

This means that [tex]M = 55, s = 2.2[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

Lower bound of the interval:

[tex]M - zs = 55 - 2.575*2.2 = 49.34[/tex]

Upper bound:

[tex]M + zs = 55 + 2.575*2.2 = 60.66[/tex]

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.

Answer:

Part a) The system of linear inequalities is

y\geq 5y≥5

4x+10y\leq 1004x+10y≤100

Part b) The graph in the attached figure

Part c) A solution could be (5,7) (see the explanation)

Step-by-step explanation:

The complete question is

You are buying plants and soil for your garden. The soil cost 4.00 dollars per bag and the plants cost 10.00 each. You want to buy at least 5 plants and can spend no more than10.00each.Youwanttobuyatleast5plantsandcanspendnomorethan100

a) write a system of linear inequalities to model the situation

b) Graph the system of linear inequalities

c) Identify and interpret a solution to the system

Part a) write a system of linear inequalities to model the situation

Let

x -----> the number of bags of soil

y ----> number of plants

we know that

The word "at least" means "greater than or equal"

y\geq 5y≥5 ----> inequality A

The word "no more" means "less than or equal"

4x+10y\leq 1004x+10y≤100 ----> inequality B

Part b) Graph the system of linear inequalities

we have

y\geq 5y≥5 ----> inequality A

4x+10y\leq 1004x+10y≤100 ----> inequality B

using a graphing tool

the solution is the triangular shaded area

see the attached figure

Part c) Identify and interpret a solution to the system

we know that

If a ordered pair is a solution to the system, then the ordered pair must lie on the shaded area of the solution

i take the point (5,7)

the point (5,7) lie on the shaded area of the solution

so

is a solution of the system

That means ----> You are buying 5 bags of soil and 7 plants for your garden

Verify the solution

Remember

If a ordered pair is a solution to the system, then the ordered pair must satisfy both inequalities

Verify inequality A

7\geq 57≥5  ----> is true

so

The ordered pair (5,7) satisfy inequality A

Verify inequality B

4(5)+10(7)\leq 1004(5)+10(7)≤100

90\leq 10090≤100 ---> is true

so

The ordered pair (5,7) satisfy inequality B

therefore

The ordered pair (5,7) is a solution to the system

Answer:

x=19.55

hope it help you..

Answer:

19.55

Step-by-step explanation:

x/8.5 = 2.3

x = 8.5 × 2.3

x = 85 × ⅒ × 23 × ⅒

x = 85 × 23 × ⅒ × ⅒

x = 1955 × 1/100

x = 1955/100

x = 19.55

Answer:

10, 12, 13, 20

Step-by-step explanation:

Answer:

the answer is c I hope this helps:)

By Pythagorean theorem

x²+GF²=EF² ( where G is the point of intersection of perpendicular lines)

now, GF=1/2 EF= 12

x²+12²=24²

x²=24²-12²

x²=432

x=√432

x=12√3

x≈20.78

Answer:

6

Step-by-step explanation:

1/6 of 36=6

2/3 of 36= 24

24+6=30

36-30=6

Answer:

3 to the power of 9 = 19,683

Step-by-step explanation:

3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3= 19,683

hope this is helped

if it did let me know if it was right

and mark brainlest  

1 yard=3 feet so 100 yard=300 feet

Answer:

Step-by-step explanation:

Gallon is more

Answer:

1.9 is the correct answer

Answer:

1/13

Step-by-step explanation:

The number 7 cards= 4 of them

Total number of cards= 52

4/52 are 7's

Simplify 4/52>>>>2/26>>>>1/13

Hope this helped! Please give a brainly if you can <33

Answer:

BXZ= 75

AYX=44

B= 61

Step-by-step explanation:

B=180-(75+44)

=61

they are all equal.

Answer:

A

Step-by-step explanation:

If it is a scale factor of 2 then to get the sides of rectangle z you would multiply the sides of rectangle y

if The sides are twice the size of rectangles y sides then the area is also twice as big

have a great day :)

Answer: b= 20

Step-by-step explanation:

y= 5x + 20

Answer:

7a) y = [tex]\frac{1273x}{5}[/tex]

b) this equation means that for every 5 minutes the tram is an additional 1,273 feet above base

c) the first quadrant has 'x' and 'y' values that are positive and only positive values can be used to represent elevation above base and time

Step-by-step explanation:

Answer:

76 because if the two lines are parallel then x = 76

hope this helps and brainliest please

Answer:

Area of a circle is  pi * [tex]r^{2}[/tex]

then multiply that by the height

Step-by-step explanation:

diameter = 10

radius is   diameter / 2

r = 10/2 = 5

A = pi * [tex]5^{2}[/tex]

A = 78.5398

height * A = volume

12 * 78.5398 = 942.477

So about 942  , answer 3 looks right  :)   sorry I got to your question late, send me a note , when you have a question, so I'll see  :)

Answer:

what is the rest of your question haha

Step-by-step explanation:

Answer:

Assuming you're finding weight: 710,081 pounds

Step-by-step explanation:

512(334) = 710,081 lbs. That's an incredibly large and nonsensical amount of dog food. I'm near certain there's an issue with the question.

Answer:

Option c

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

[tex]Area=width$ x $height\\Area=22$ x $ 1\\Area=22[/tex]

Answer:

Step-by-step explanation:

is number 2

-7,-4...