Find the area of the shape shown below.
2 2 2 2 6​

Answer:

t = 17.5 f = 12

Step-by-step explanation:

If MNOP is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:

[tex]90 = 4t + 20[/tex]

and

[tex]90 = 7f + 6[/tex]

Then solve both equations:

[tex]90 = 4t + 20 \\ 70 = 4t \\ 17.5 = t[/tex]

and

[tex]90 = 7f + 6 \\ 84 = 7f \\ 12 = f[/tex]

I hope that helps!

Answer:

87/103

Step-by-step explanation:

Answer:

$2421.95

Step-by-step explanation:

To calculate the final value from compound interest, we can use the formula

A = P(1+r/n)^(nt), where A represents the final amount, P is the initial amount, r is the rate, n is the number of times compounded per time period, and t is the amount of time.

Here, P is 2000, 1.2% is the rate (to convert to a decimal, we can divide by 100 to get 0.012), n = 2 because it is compounded semi-annually, and 16 is the number of years, or t. Plugging these in, we get

2000(1+0.012/2)^(2*16) = 2421.95

Answer:

The perimeter of the rectangle is 3.5 m or 350 cm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

  x = 50

  y = 65

Step-by-step explanation:

The marked sides show you that the triangle is isosceles. That means the base angles, y° and 65°, are congruent.

  y = 65

__

The sum of the angles in a triangle is 180°.

  65° +65° +x° = 180°

  x° = 180° -130° = 50° . . . . . . subtract 130°

  x = 50

Answer: 4509

8,140-3,631

= 4509

Answer:

m∠DEB = _70_°

m∠BCD= _110_°

m∠EAB= _73_°​

Step-by-step explanation:

To find ∠DEB:

Take the angle of ∠EDC, which is 110°. We know the total degree in a triangle is 180°. So, we do 180° - 110° to get 70°.

To find ∠BCD:

Because EBCD is an isosceles trapezoid, this means that ∠D and ∠C both have the congruent angles. Since we know ∠EDC is 110°, this means that ∠C is also 110°.

To find ∠EAB:

We know that m∠ABC is 133° and ∠DEA is 114°. However, both angles count both the triangle and trapezoid. Previously we figured out that ∠DEB is 70°. We'll take the angle of ∠DEA and subtract the angle of ∠DEB from it, which gets us 44°. To figure out the angle of ∠B, we take the angle of ∠ABC and subtract 70° or the angle of ∠DEB, which gets us 63°. Now we take the total degree of a triangle, 180° and minus both 44° and 63° from it, which is 73°.

- 2021 Edmentum

An actual two-by-two table is a tabular representation containing two rows and two columns.

Mathematically, the set-up of the two-by-two table for this data can be computed as:

Tested                  True Positive for cancer   True Negative    Total

Predicted Positive         800                            3200                 4000

Predicted Negative        100                            95900              96000

Total                                900                            99100              100000  

The prevalence rate of prostate cancer in this population is:

[tex]\mathbf{ =\dfrac{900}{100000}}[/tex]

[tex]\mathbf{ =\dfrac{9}{1000}}[/tex]

= 9 per thousand.

The calculation of the sensitivity of this screening is as follows:

[tex]\mathbf{=\dfrac{TP}{TP+PN_1}}[/tex]

where;

∴

[tex]\mathbf{=\dfrac{800}{800+100}}[/tex]

= 0.889

= 88.9%

The interpretation shows that 88.9% are correctly identified to be actual positive for prostate cancer.

The calculation of the specificity  of this screening is as follows:

[tex]\mathbf{=\dfrac{PN_2}{PN_2+TN}}[/tex]

where;

∴

[tex]\mathbf{=\dfrac{95900}{95900+3200}}[/tex]

= 0.9677

= 96.77%

The interpretation shows that 96.7% of an actual negative is correctly identified as such.

The positive predicted value of the screening test is computed as:

[tex]\mathbf{= \dfrac{TP}{TP + TN}}[/tex]

[tex]\mathbf{= \dfrac{800}{800 + 3200}}[/tex]

= 0.2

= 20%

The interpretation of the positive predicted value of this screening shows that 20% that are subjected to the diagnosis of positive prostate cancer truly have the disease.

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Answer: this is 4

Step-by-step explanation: A+b=2+2=4

At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

The given parameters;

The number of gummy bear bags needed to share 5 gummy bears to each person is calculated as follows;

let the number of gummy bears bag = x

[tex]\frac{9x}{8} = 5\\\\9x = 40\\\\x = \frac{40}{9} \\\\x = 4.4[/tex]

Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

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3,400 at 10%

600 at 15%

This is the answer.

Answer:

Danny's offer is cheaper

Step-by-step explanation:

Danny is offering 36$ for 4 hours meaning you would do 36÷4=9 (9$ per hour)

Martin is offering 54$ for 3 hours so 54÷3=18 (18$ per hour)

Or the faster way of finding why is Danny is offering more hours for cheaper

Hope this helps

Answer: 14 hours

Step-by-step explanation: First I found the unit rate of how much money per hour. So, 357 divided by 17 = 21. So know I know that she earns 21$ per hour. Then, I did 237 divided by 17 which would be 13 remainder 16. Since he only get paid if he works for a full hour, I think the answer would be 14.

[tex]\begin{array}{ccll} \$&hrs\\ \cline{1-2} 357&17\\ 237&x \end{array}\implies \cfrac{357}{237}=\cfrac{17}{x}\implies \implies \cfrac{119}{79}=\cfrac{17}{x}\implies 119x=1343 \\\\\\ x = \cfrac{1343}{119}\implies x = \cfrac{79}{7}\implies x = 11\frac{2}{7}\leftarrow \textit{11 hours, 17 minutes and 8 seconds}[/tex]

Answer:

sugar is bad so just use cream

Step-by-step explanation:

sugar can increase the risk of weight gain, diabetes, tooth cavities, and more.

hope this helps

Answer:

I think this is neither. As you can see the value of x reaches infinity and negative infinity, the value gets infinetly closer to 1.

no why? cause the guy bought 2 shirts for 19 dollors each where was he at nikes?  on average a shirt cost 15 bucks but 19? yeah no

Answer:

Step-by-step explanation:

no why? cause the guy bought 2 shirts for 19 dollors each where was he at nikes?  on average a shirt cost 15 bucks but 19? yeah no

Answer:

5(37)+10

10(17.5)+5

Step-by-step explanation:

5x+10=180

-10 -10

5x=170

divide by 5

x=37

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

10x+5=180

-5 -5

10x=175

divide by 10

x=17.5

Answer:

-4+-3+2-3

Step-by-step explanation:

Answer:

+2 • (25y + 29)/5

Step-by-step explanation:

Answer:

what's thequestion?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the domain is all the possible numbers that the x can be, so to find this from the graph you find the x-value of the leftmost point, which is -1 in this case, and the x-value of the rightmost point, which is 3. this means the range of values would be -1 <= x <= 3

Answer:

what's your question?  

Answer:

It is 7 whole

Step-by-step explanation:

3/15 is 5 without anything left plus the 3 is 7

Answer:

[tex]2\sqrt{5}[/tex]

Step-by-step explanation:

Since it is tangent to the center, the perpendicular line passes through the center, (2,-3). We find the slope of the perpendicular line to be -1/2 (perpendicular to a slope of 2). We can use point slope form to find the line from the tangent line to the center:

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

We can simplify this to

y= -1/2x-2

We can then check the point of intersection:

-1/2x-2=2x+3

-5=2.5x

x=-2

we can plug this in to the first equation to get y=2(-2)+3=-1

So the point of intersection of the circle and the tangent line is (-2,-1)

Then we find the distance of this point to (2,-3) and we can use pythagorean theorem.

[tex]\sqrt{(-2-2)^{2}+(-1-(-3))^{2} } =\sqrt{(-4)^{2}+2^{2} } =\sqrt{20} =2\sqrt{5}[/tex]

The radius of the circle is [tex]2\sqrt{5}[/tex]

For Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

The line y=2x+3 is tangent to the circle with center (2,-3)

The distance from the center of the circle to the line is equal to the radius of the circle.

The distance from a point (x₁, y₁) to a line Ax + By + C = 0 is given by the formula:

d = |Ax₁+ By₁ + C| /√A² + B²

The equation of the line is y = 2x + 3, which can be written in the form Ax + By + C = 0 as (-2)x + y - 3 = 0.

d = |-2(2) + (-3) - 3| / √(-2)² + 1²

d=10/√5

The radius of the circle is equal to the distance from the center to the tangent line, which is:

radius = 10/√5

Hence, for Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5

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Explanation:

The ratio we want is in the format green:red:total which means we list the number of green first, then the number of red next, then the number total last. The order is very important. This is because we'll simply list the numbers without saying the color name or "total". So the reader will imply what the numbers refer to, based on this order mentioned.

We have:

The ratio of green to red to total is 70:50:162

To reduce the ratio, we divide all three parts of that ratio by the GCF 2

The ratio 70:50:162 fully reduces to 35:25:81 which is the final answer.

This says that for every 35 green marbles, we have 25 red marbles and 81 total marbles.

Answer: 7 weeks

Step-by-step explanation:

Let x represent number of weeks

Let y represent the total amount

Amount = Paycheck deposited * number of weeks + Initial amount

y = 125x + 475

Number of weeks until she has $1350

1350 = 125x + 475

125x+475-475=1350-475

125x=875

x=7

Therefore, the student will have $1350 in her bank account after 7 weeks

Answer:

16

Step-by-step explanation:

261 - 256 - 251

-5 by step

to 50th term there is 49 -5's from 261.

261 + 49.(-5) = 261 - 245 = 16

Answer:

16

Step-by-step explanation:

The sequence appears to be an arithmetic sequence. To find the 50th term we should create a general formula for the sequence.

General formula of an arithmetic sequence: [tex]a_n=a_1+(n-1)d[/tex]

where An = nth term, a1 = first term , n = number of terms and d = common difference.

The first term is 261 so a1 = 261

The common difference appears to be -5

( 256 - 261 = -5 ) and ( 251 - 256 = -5 )

so d = -5

We want to find the 50th term so n = 50

We then plug all of this in to get the 50th terms

Formula : [tex]a_n=a_1+(n-1)d[/tex]

a1 = 261 , n = 50 and d = -5

[tex]a_n=261 + (50-1)-5[/tex]

subtract 1 from 50

[tex]a_n=261+(49)(-5)[/tex]

multiply 49 and -5

[tex]a_n=261-245[/tex]

subtract 245 from 261

[tex]a_n=16[/tex]

The 50th term is 16