Evaluate A= 2
B= 3
C= 5
) A2+B 2+ C2
C2-4A + 2B

Answer:

C

Step-by-step explanation:

Using pythagoras theorem, you will find that AC= 12,

[tex]\sqrt{13^2-5^2}= 12[/tex]

Sin A = Opposite / Hypotenuse, in this case the opposite of A is CB which is 5ft, and then Hypotenuse of the right angled triangle is AB. which is 13ft.

So, Sin A = 5/13

Tan A= Opposite/ Adjacent,

Opposite is CB, which is 5ft, adjacent is AC, which  is 12ft.

So, Tan A= 5/12

Cos A= Adjacent/Hypotenuse,

we know adjacent is 12ft and that hypotenuse is 13ft.

So Cos A= 12/13

However Sec A is the inverse of cos A.

So, Sec A= 13/12.

Answer:

Step-by-step explanation:

A= (a + b) * h/2

Answer:

what they said

Step-by-step explanation:

yeah what they said

Answer:

in three different ways the first one gets a gold one the other 4 printers get silver n the last 4 printers get bronze.

2.5m = 75

To find m divide both sides by 2.5:

M = 75/2.5

M = 30

Answer:

m = 30

Step-by-step explanation:

2.5 m = 75

To find m divide 75 by 25

m = 75 / 2.5

m = 30

Step-by-step explanation:

Given that,

a. x = 15 and y = 14

The equation is :

x = ky

or

[tex]k=\dfrac{x}{y}[/tex]

Put all the values,

[tex]k=\dfrac{15}{14}\\\\k=1.07[/tex]

b. Now, put y = 70 and k = 1.07.

x = 1.07×70

x = 74.9

c.

Put x = 45 and k = 1.07.

[tex]y=\dfrac{x}{k}\\\\y=\dfrac{45}{1.07}\\\\y=42.05[/tex]

Hence, this is the required solution.

Answer:

1. 35 degrees

2. 44 degrees

Step-by-step explanation:

1). 35 degree

180-59=121

121+24+ m<1= 180

m<1= 35 degree

2) m<CED= 45 degree

As CED is a right angled triangle, one angle is of 90 degree while other 2 angles are of 45 degree which makes a sum of 180.

Answer:

32 units

Step-by-step explanation:

the perimeter =

(1 -(-3)) +(0-(-6)) + (1 -(-11) + (√(12-4)²+6²)

= (1+3) +(0+6) +(1+11) +(√(64+36))

= 4+6+12 + 10

=32 units

Answer:

a. 20-degree

b. 110-degree

c.70-degree

d.50-degree

Answer:

540

Step-by-step explanation:

720 (100-25) to find the decimal to use (below 1.00 is decreasing)

720 (.75) = 540

Answer:

The slope of -1.2 means that for each cup of antioxidant a person consumes per day, it's BMI decreases by 1.2.

The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.

Step-by-step explanation:

Line of best fit:

[tex]y = -1.2x + 26[/tex]

Slope:

The slope is the number that multiplies x, that is, -1.2. The slope of -1.2 means that for each cup of antioxidant food a person consumes per day, it's BMI decreases by 1.2.

Intercept:

Value of y when x = 0, that is, 26. The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.

Answer:

the slope is -1.2 and the intercept is 26.

Step-by-step explanation:

our line's equation is y= -1.2x + 26

In the equation y = mx + b, m is the slope and b is the y-intercept. So in this equation, look for where the numbers are placed and that it what you get.

Percent of free throws = (number of free throws made / total attempts) x 100

Percent = (80/100) x 100 = 80%

The answer is 80%

Answer:

80%

Step-by-step explanation:

Answer:

C ................................. I think

Answer:

20

Step-by-step explanation:

Vertical angles are always equal to each other. So the answer is

3x + 4 = 73 - 9                 Are you sure this is what the question is?

3x + 4 = 64                      Subtract 4 from both sides

     -4      -4

3x = 60                           Divide by 3

3x/3 = 60/3

x = 20

Answer:

Ŷ = 76.4064+5.4254X

0.786

Strong positive relationship

Score = 98

Step-by-step explanation:

Using technology, the linear model obtained by fitting the data is :

Ŷ = 76.4064+5.4254X

Where, slope = 5.4254

y = test score ; x = study time

The Correlation Coefficient obtained is 0.786 ; which depicts that there exist a strong positive relationship between the two variables.

Using the model; test score, if x = 4

Ŷ = 76.4064+5.4254(4)

Y = 98.108

Test score = 98

Answer:

39,144,000 km

Step-by-step explanation:

Hi there!

Distance traveled = time * speed

Given speed: 233000 km/h

Given time: 7 days

It's important to note that our speed is given in per hours and out time is given in days. So in order to find how far the comet has traveled we must convert days to hours.

There are 24 hours in 1 day.

So to convert days to hours simply multiply amount of days by 24

24 * 7 = 168

So the comet has traveled for 168 hours

Now we can find distance traveled

Once again distance traveled = time * speed

Given speed is 233000 km/h

Given time is 168 hours

Distance = 168 * 233000 = 39,144,000

So the comet has traveled for a total distance of 39,144,000 km

Answer:

84 sq meters

Step-by-step explanation:

First, divide the shape in 2 or more parts so that you can find it step by step

Divide this shape in three parts:

One part (blue): 2 m and 3 m rectangle

Second part (orange): 5 m and 12 m rectangle

Third part (red): 6 m and 3 m rectangle

(you can also see this below: in the pic there are three parts so you figure out that which is the correct value for the sides)

Now, find area of each shape by multiplying its values:

1st shape: 3 x 2 = 6

2nd shape: 5 x 12 = 60

3rd shape: 6 x 3 = 18

As you have the area of all the different shapes,

add all of them:

6 + 60 + 18 = 84 sq meters

I hope this helps :)

Answer:

There are four motorcycles and six cars.

Step-by-step explanation:

Let m represent the number of motorcycles and c represent the number of cars.

Since there are ten vehicles in total, the sum of the number of motorcycles and the number of cars must total ten. Hence:

[tex]m+c=10[/tex]

And since each motorcycle has two wheels and each car has four wheels and there are 32 wheels in total:

[tex]2m+4c=32[/tex]

Solve the system of equations. First, we can divide the second equation by two:

[tex]m+2c=16[/tex]

From the first equation, we can subtract c from both sides:

[tex]m=10-c[/tex]

Substitute:

[tex](10-c)+2c=16[/tex]

Simplify:

[tex]10+c=16[/tex]

Therefore:

[tex]c=6[/tex]

There are six cars.

Using the modified equation:

[tex]m=10-c[/tex]

Solve for m:

[tex]m=10-(6)=4[/tex]

So, there are four motorcycles and six cars.

Using the Pythagorean theorem,

[tex]6^{2}+y^{2}=(3+9)^{2}\\\\36+y^2=144\\\\y^2=108\\\\y=\boxed{6\sqrt{3}}[/tex]

Answer:

It is an Integer, but it can also be a rational number.

Step-by-step explanation:

My math teacher told meh

Answer:

The correct option is (b).

Step-by-step explanation:

The solution of the given polynomial is :

[tex](-\dfrac{1}{3},4)[/tex]

x = 1/3 and y = -4

i.e.

Sum of roots = (1/3-4) = -11/3

Product of roots = (1/3)(-4) = -4/3

The quadratic equation is as follows :

[tex]x^2+(\text{sum of roots})x+\text{Product of roots}=0[/tex]

Put all the values,

[tex]x^2+\dfrac{-11}{3}x+\dfrac{-4}{3}=0\\\\3x^2-11x-4=0[/tex]

So, the correct option is (b).

Answer:

The correct answer is 319.

Step-by-step explanation:

it is in the given picture.

( don't mind my writing!!)

thx thx thx thx thx thx thx sa points sabi mo give away eh

I hope this is help full to you

Answer:

[tex]5800[/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

5800

Step-by-step explanation:

5763

7 is in the hundreds place

We look at the tens place to determine how to round

If the tens place is 5 or above we round up, if it is 4 or less- leave it alone

Since 6 is 5 or above, we round the 7 up

5763 rounds to 5800

9514 1404 393

Answer:

  B.  16:49

Step-by-step explanation:

The area ratio is the square of the edge length ratio:

  area ratio = (4:7)² = 4²:7² = 16:49

_____

It might help you to recall that area is the product of two linear dimensions if each is multiplied by 4/7, the resulting product will be multiplied by (4/7)².

  A = LW

  A' = (4/7L)(4/7W) = (4/7)²(LW) = (16/49)·A

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that [tex]p = 0.06[/tex]

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694[/tex]

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Answer:

13

Step-by-step explanation:

The two factors  16 and -3.

Answer:

The answer is "Approximately normal".

Step-by-step explanation:

sample size[tex]n=100[/tex]

Sample size [tex]n \geq 30[/tex]

It is because [tex]C \perp T[/tex] the sampling distribution of the sample means is approximately normal.

Answer:

-3/9x

Step-by-step explanation:

You rearrange for 'y' so divide both sides by it's coefficient which is 9.

Answer:

The slope is -1/3