In the right triangle above, what is the length of the hypotenuse?
16.5
31°

Answer:

-3/2

Step-by-step explanation:

Slope=rise/run

Pick any 2 points and you can see that for every increase in 2 increases for x, there are 3 decreases for y.

Answer:

Rs. 390

Step-by-step explanation:

Question : 30% more than Rs.300.

Answer with explanation

30% of 300 is :

300 × 30 % = Rs. 90

According to the question, they are asking for 30 % more than 300.

For that you have to add  90 ( 30% of 300 ) to 300.

Let us solve now.

Rs. 300 + Rs. 90 0= Rs.390

Therefore , 30% more than Rs.300 is Rs. 390

Hope this helps you :-)

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The values x such that (6, x, −11) and (5, x, x) are orthogonal is 6,5.

The orthogonal vectors have dot product to be zero. Thus, the formula to be used is -

a . b = a1b1 + a2b2 + a3b3, where a1, a2 and a3 are components a vector and b1, b2 and be are components of b vector.

Keep the values in formula -

a . b = 6(5) + x² + (-11)x

a . b = 30 + x² - 11x = 0

So, x² - 11x + 30 = 0

x(x - 6) - 5(x - 6) = 0

(x - 6) (x - 5) = 0

So, the value of x is 6,5.

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Answer:

5

Step-by-step explanation:

20+14-7-22 that is how i got 5 .

13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

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Since Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed. They're equivalent and the teacher is right that they're all correct.

It should be noted that from the information, Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed.

In this case, their teacher said that they were all correct.

This means that:

1/4 = 3/12 = 15/60

It should be noted that they are all equivalent fractions. This implies that they are equal.

Therefore, the teacher is correct.

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Answer:

E) 150°

Step-by-step explanation:

angle adjacent to 70° angle is 110°

the angle supplemental to 'x' must be 180-(40+110) or 30°

this means 'x' must be 150°

Answer:

6 units squared

Step-by-step explanation:

Formula:

area = 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )

Assign variables:

A = 5, B = 4, C = 3.

Distribute:

area = 0.25 * √( (5 + 4 + 3) * (-5 + 4 + 3) * (5 - 4 + 3) * (5 + 4 - 3) )

Combine like terms

area = 0.25 * √( (12) * (2) * (4) * (6) )

Multiply:

area = 0.25 * √(576)

Square root:

area = 0.25 * 24

Multiply:

area = 6 units squared

Answer:

5, -1

Step-by-step explanation:

Hope it helps! =D

Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)  

 = \(\sqrt{3^2+(1+3)^2}\)

 = \(\sqrt{3^2+4^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

Answer: =38x+16.                                                            

a_{\color{red}{8}}=(\color{blue}{3x-5}) + (\color{red}{8}-1)(\color{green}{5x+3})

a

8

​

=(3x−5)+(8−1)(5x+3)

a_{8}=3x-5+ 7(5x+3)

a

8

​

=3x−5+7(5x+3)

a_{8}=3x-5+35x+21

a

8

​

=3x−5+35x+21

Answer:

D

Step-by-step explanation:

it may help you to understand.

Answer:

D, 30x+20+1=-39

Step-by-step explanation:

since you first

Answer:

  B

Step-by-step explanation:

The table that represents a function will have no x-values repeated.

  A. 4 is repeated -- not a function

  B. all x-values are unique -- this is a function

  C. 2 is repeated -- not a function

  D. 3 is repeated -- not a function

Answer:

x=0

Step-by-step explanation:

-(-2x-2)=2+4x

Distribute the negative:

2x+2=2+4x

Subtract 2 from both sides:

2x=4x

Subtract 2x from both sides:

0=2x

Divide by 2 on both sides:

0=x

Answer:

30=15

Step-by-step explanation:

30=40-30+6-4-27

30=10+2-27

40=12-27

30=-15

Given two congruent circles,  ⊙A ≅ ⊙V. The correct congruency statements are arc BE ≅ arc ZX and BE ≅ ZX.

Congruence is a term that refers to objects that are the same shape and same size or dimension.

In this problem, two congruent circles are given as in the attached picture.

Notice that:

 ∠BAE ≅ ∠ZVX

Hence,

BE ≅ ZX

Δ BAE ≅ ΔZVX

arc BE ≅ arc ZX

arc CD ≅ arc YW

∠DAB ≅ ∠XVY

arc DE ≅ arc ZY

arc WX ≅ arc BC

Hence, the correct congruency statements from the list of options are: arc BE ≅ arc ZX and BE ≅ ZX.

The picture in your question was missing. Most likely it was like on the attached picture.

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Answer:

B. BE = ZX and F. BE = ZX

Step-by-step explanation:

edg 23

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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a. The table value of z 0.99 is given as 2.58.

b. we use σ = 2.30 minutes.

c. The value of Z is given as 0.609.

d. The confidence interval is (23.391, 24.609) minutes.

a) To find the z-score for a 0.99 confidence interval, we need to find the z-score that leaves 0.5% (since it's two-tailed, we split the 1% or 0.01 of the data that's not within the confidence interval into two) in each tail. The z-score for 0.995 (0.5% in the upper tail) is approximately 2.58 in standard normal distribution tables. So, Z_0.99 is 2.58.

b) Therefore, we use σ = 2.30 minutes.

c) The standard error of the mean (SE) is given by σ/√n, where n is the sample size.

Here, σ = 2.30 minutes and n = 95.

Therefore, SE = σ/√n

= 2.30/√95

= 0.236 minutes.

Multiply this by the z-score to find Z * σ/√n.

Therefore, Z * σ/√n = 2.58 * 0.236 ≈ 0.609.

d) The 0.99 confidence interval for μ

Here, x is the sample mean which is 24 minutes.

So the confidence interval is approximately

= (24 - 0.609, 24 + 0.609)  

= (23.391, 24.609) minutes.

This is the range of values we are 99% confident that the true population mean (μ) falls in.

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Answer:

it's says that it is ×=1

Step-by-step explanation:

3×-5=2(x-2)

3x-5=2x-4

3x-5+5=2x-4+5

3x=2x+1

3x=2x + 1

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

Answer x=1

Answer:

median: 4

Step-by-step explanation:

Answer:

Type of slope: positive

Rise: 1

Run: 1

Slope: 1

Step-by-step explanation:

as y increases by 1, x increases by 1.

Answer:

always piπ:1. "A"

Step-by-step explanation:

circumference of a circle= 2πr

diameter of a circle=2r

ratio of circumference to radius=2πr/2r

=π/1 or π:1

The major variable in this statistics class is considered a nominal variable.

The major variable is considered a nominal level of measurement because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.

In other words, the values assigned to different majors (e.g. Engineering, English, History) do not represent numerical quantities or differences.

The level of measurement of a variable determines the type of statistical analyses that can be conducted with that variable. In this case, the major variable is considered a nominal variable because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.

Nominal variables are often used to categorize or group data based on non-numeric characteristics, such as gender, race, or occupation. By collecting data on both GPA and major, the statistics instructor can explore relationships between these variables, such as whether certain majors tend to have higher or lower GPAs.

In conclusion, the major variable in this statistics class is considered a nominal variable.

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The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer: 8 weeks

Step-by-step explanation:

The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).

In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),

Using the distance formula, we can set up the following equation:

√[(x - (-1))² + (y - 5)²] = √2,

Simplifying this equation,

We get,

(x + 1)² + (y - 5)² = 2,

This equation represents a circle with center (-1, 5) and radius √2.

So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).

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Answer:

Kendra has 10 dimes and 30 quarters.

Step-by-step explanation:

From the information given and considering that a dime is $0.10 and a quarter  is $0.25, you can write the following equations:

0.10x+0.25y=8.50 (1)

y=3x (2)

x is the number of dimes

y is the amount of quarters

First, you can replace 2 in 1 and solve for x:

0.10x+0.25(3x)=8.50

0.10x+0.75x=8.50

0.85x=8.50

x=8.50/0.85

x=10

Then, you can replace the value of x in 2 to find the value of y:

y=3*10

y=30

According to this, the answer is that Kendra has 10 dimes and 30 quarters.

Answer:

i can't see

Step-by-step explanation:

plz zoom in more