Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Angle F is 87 degrees and angle G is 58 degrees. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters. Angle K is 58 degrees, L is 35 degrees, J is 87 degrees. What can you conclude about these triangles? Check all that apply. Angle E corresponds to angle L. All corresponding angles are proportional. The measure of angle E is 29°. The two triangles are similar. The two triangles are congruent.

Answer:

The data is a simple random sample from the population of interest.

Step-by-step explanation:

Conditions necessary to consider when constructing a confidence interval include using a large sample size, which should be greater Than or equal to 30 for n and a sample proportion of np ≤ 10. Importantly the sample must be a random sample drawn from the population, meaning that all the population of interest must have equal chances of being a part of the sample data. However, the scenariomabiveb, violates this condition as the sampling design is not completely randomized. Those who do not ply the route on that certain day have no Chaves of being part of the sample.

Answer:

240.1 ft (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

Part A: 40 cubic feet. Part B: 20 cubic feet

Step-by-step explanation:

Part A: 5×4×2 = 40 feet3  

Part B: 5×4×1 = 20 feet3

Answer:

.78 cents

Step-by-step explanation:

To find the tax amount on any number, divide that number by 100 and then multiple it by the tax percentage.

In this case that would look like: $19.50/100 times 4 =.78

Answer:

The expected mass of the sample in the year 2009 is approximately 60 miligrams.

Step-by-step explanation:

The mass of radioactive isotopes decays exponentially in time, the equation that represents this phenomenon is presented below:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)

Where:

[tex]m(t)[/tex] - Current mass of the radioactive isotope, in miligrams.

[tex]m_{o}[/tex] - Initial mass of the radioactive isotope, in miligrams.

[tex]t[/tex] - Time, in years.

[tex]\tau[/tex] - Time constant, in years.

First, we must find the time constant associated to the decay of the radioactive isotope by clearing the respective term in (1):

[tex]-\frac{t}{\tau} = \ln \frac{m(t)}{m_{o}}[/tex]

[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]

If we know that [tex]t = 5\,y[/tex], [tex]m(t) = 190\,mg[/tex] and [tex]m_{o} = 800\,mg[/tex], then the time constant is:

[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]

[tex]\tau = -\frac{5\,y}{\ln \frac{190\,mg}{800\,mg} }[/tex]

[tex]\tau \approx 3.478\,y[/tex]

Now, we calculate the mass of the radioactive isotope in 2009 ([tex]t = 9\,y[/tex]). If we know that [tex]t = 9\,y[/tex], [tex]\tau \approx 3.478\,y[/tex] and [tex]m_{o} = 800\,mg[/tex], then the mass of the radioactive isotope is:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]

[tex]m(9\,y) = (800\,mg)\cdot e^{-\frac{9\,y}{3.478\,y} }[/tex]

[tex]m(9\,y) \approx 60.155\,mg[/tex]

The expected mass of the sample in the year 2009 is approximately 60 miligrams.

Answer:

8

Step-by-step explanation:

x/16 = 6/12

cross multiply

12x=6*16

12x=96

divided by 12

x=8

Answer:

Step-by-step explanation:

6 rectangles.

2 act as the top and bottom

Answer:

C and D

..............................

Step-by-step explanation:

correct

Answer:

you are missing part of the question

Step-by-step explanation:

Answer:

0.83

9.96 divided by 12 is that

Answer:

88

Step-by-step explanation:

MATH

The number of students who have the flu on Friday morning will be;

⇒ 83

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The number of students at a particular school who have the flu is increasing at a rate of 12% per day.

At the beginning of Monday there were 56 students with the flu,

Now,

Since, The number of students at a particular school who have the flu is increasing at a rate of 12% per day.

Hence, The percent of increasing rate on Friday morning = 4 x 12%

                                                                                         = 48%

Thus, The number of students who have the flu on Friday morning is,

⇒ 56 + 48% of 56

⇒ 56 + 48 × 56 / 100

⇒ 56 + 26.88

⇒ 82.88

Thus, The number of students who have the flu on Friday morning will be;

⇒ 83

Learn more about the percent visit:

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Answer:

2

Step-by-step explanation:

So the common ratio is simply what a number can be multiplyied by. To find this, all we have to do is see how many times one number goes into the one after it.

So lets take the 20(2nd number), lets divide it by 10(1st number). What do we get when we divide the numbers? We get 2. since 10 goes into 20, 2 times.

Lets see if the common ratio 2 checks out for the other numbers. What is 80(4th number) divided by 40(3rd number)? Well again, thats 2. Since 40 goes into 80, 2 times.

So, we can conclude that the answer is 2.

Answer:

I think the common ratio is 20

Step-by-step explanation:

Each number is 20 times the previous number, so the Common Ratio would have to be 10

Answer:

well if you think about it the answer you see is in the points

Step-by-step explanation:

and the data comes from the scatterplot so try to see it and remember to chose b or c ok  

Answer:

9.24l

Step-by-step explanation:

find the volume then change into litres

14*24*60=20160cm3

divide by 1000 to change it in to litres

20.16l

20.16-10.92=9.24l

Answer:

i would say true

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Since we already know c, so we need to find b.

c² = a² + b²

5² = 4² + b²

b² = 5² - 4²

b² = 25 - 16

b² = 9

b = 3

Answer:

Step-by-step explanation:

25x-16y-25x+16y

-16y and 16y cancels out

25x-25x

25x and -25x cancels out too

This means the answer is 0

Step-by-step explanation:

x-2 = ²√125

x-2 = 22.36

x = 22.36 + 2

x = 24.36.

hope it helps. :/

Answer:

300

Step-by-step explanation:

5/3=120/x

300

The new selling price of the calculator will be R200.00.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, If a calculator is sold for R120.00.

Now, The original selling price is increased by a ratio 5 : 3, which can also be written as 5/3.

Therefore, The new selling price of the calculator will be,

= (5/3)×12000.

= 5×4000.

= 20000.

learn more about fractions here :

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Answer:

x = 11

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

11x + 2 is an exterior angle of the triangle, then

11x + 2 = 5x + 10 + 58

11x + 2 = 5x + 68 ( subtract 5x from both sides )

6x + 2 = 68 ( subtract 2 from both sides )

6x = 66 ( divide both sides by 6 )

x = 11

Answer:

try 28.4 inches to the 3rd power

Step-by-step explanation:

Answer:

i think its D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw the diameter from point (-1, -5) to point (2, 3).

The triangle has base 3 and height 8.

The diameter of the semicircle is the hypotenuse of the triangle.

The radius is half the diameter.

The total area is the area of the triangle plus the area of the semicircle.

Answer:

A) 10.5+7.25[tex]\pi[/tex]units²

Step-by-step explanation:

This can be divided into a semicircle and a right triangle.

The area of the right triangle is (1/2)(7)(3)= 10.5

the radius of the semicircle is

[tex]d=\sqrt{7^{2} +3^{2} } )=\sqrt{(49+9)} =\sqrt{58}[/tex]

[tex]r=(1/2)(\sqrt{58}[/tex]

[tex]A=(1/2\pi (1/2)(\sqrt{58)^{2} }[/tex]

[tex]A=58\pi /8[/tex]

[tex]A=7.25\pi[/tex]

[tex]---------[/tex]

hope it helps..

have a great day!!