Solve for an angle in right triangles

I just need the answer i don’t need the whole thing explained :)

Answer:

Example 1 : Convert 2 feet into inches. Solution : Here, we convert bigger unit into smaller unit. So we have to multiply. 2 feet = 2 x 12 inches = 24 inches Example 2 : Convert 3.5 yards into inches. Solution : Here, we convert bigger unit into smaller unit…

The graph g(x) is graph of f(x) translated down 10 units.

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is plotted as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that changes over time is represented by a line graph.

Given:

f(x) = x, when g(x) = f(x) - 10

As, from the graph we can see that both function f(x) and g(x) shows a parallel relation.

Also, the function f(x) is subtracted from 10 then the function is translated down by 10 units.

Hence, g(x) is graph of f(x) translated down 10 units.

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Answer:

Step-by-step explanation:

1. The vertex is where the parabola is changing from increasing to decreasing

2. From the picture, we can see that the vertex is at (1,2)

3. The formula for vertex form is f(x)=a(x-h)^2+k

4. Vertex is (1,2) or (h,k)

5. You can see that the parabola opens upside down like a "n" so it has been reflected in the x axis

6. So, your equaltion is f(x)=-(x-1)^2+2

7. In this cause you can see that a=-1, but if not given you would choose a random point on the parabola and plug it in :). Example:(0,1): 1 = a(0-1)^2+2

a=-1.

8. Your answer: f(x)=-(x-1)^2+2

Answer:

 D    is the answer I thinnk

Step-by-step explanation:

The range of values that satisfy the given inequalities, 8x - 11 > 5 and 15(6x+2) > -150, is x > -2 OR x > 2

From the question, we are to determine the range of values which satisfy the given inequalities.

The given inequalities are

8x - 11 > 5 and 15(6x+2) > -150

To determine the range of values that satisfy the inequalities, we will solve each of the inequalities separately

Solving 8x - 11 > 5

Add 11 to both sides

8x - 11 + 11 > 5 + 11

8x > 16

Divide both sides by 8

8x/8 > 16/8

x > 2

Solving 15(6x+2) > -150

Divide both sides by 15

15(6x+2)/15 > -150/15

6x + 2 > -10

Subtract 2 from both sides

6x + 2 - 2 > -10 - 2

6x > -12

Divide both sides by 6

6x/6 > -12/6

x > -2

Putting the two solutions together,

x > -2 OR x > 2

Hence, the solution is x > -2 OR x > 2

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Answer: b= (0,4)

Step-by-step explanation:

The 'b' value in a line is the y-int. of a linear equation. That means you need to determine where the linear equation intersects with the y-axis. In this scenario it intersects at the point (0,4)

The probability that fewer than 60 adults will work from home will be 2%.    

we have to use the Normal probability distribution to find the probability

In a normal distribution with mean μ, SD σ, z-score Z of a measure X  is given by

Z = (X-μ)/ σ

here,

15% adults work from home , So  p= 0.15

                                                       n = 500

∴  μ = np = 500(0.15) = 75

σ  = [tex]\sqrt{np(1-p)}[/tex]

σ = 7.98

Now we have  selected adults(60) less than n (500)

So using the continuity correction , the probability is P(X< 60 - 0.5)

                                                                            = P( X< 59.5)

which is the p-value of Z when X = 59.5

∴ Z = (X-μ)/ σ

Z  =  (59.5 - 75)/7.98

Z =   - 1.98

so the p-value is 0.02

0.02 = 2% probability that fewer than 60 adults will work from home.

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The train's speed was= 56.7 miles per hour

acc to our question-

Hence, The train's speed was= 56.7 miles per hour

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Answer:

Step-by-step explanation:

There is no vertex in the graph and the transformations from are

By definition, a graph that has a vertex would have an obvious maximum or minimum point on it

In this case, there is no point that can be regarded as the minimum or the maximum in this graph

This means that the graph has no maximum or minimum; in other words, there is no vertex

The parent function of the above graph is a cubic function

A cubic function passes through the origin

However in this graph, we can see that the graph is 4 units to the left of the origin and 2 units below the origin

This means that the transformation is (x - 4, y - 2)

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Given the slope of the line and the pair of points, the missing y - value can be found to be - 17

The slope formula is:

y = Slope(x) + y - intercept

Using the point (4, 8), the y - intercept can be found by the formula:
8 = 5/2 (4) + y - intercept

y - intercept = 8 - 10

y - intercept = -2

The missing y value is therefore:

y = Slope(x) + y - intercept

= -6 (5/2) - 2

= -15 - 2

= - 17

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If its a 28 day month then 671088640

29 days 1342177280

30 days 2684354560

and 31 days 5368709120

Answer:

64/125 > 150/512

Step-by-step explanation:

4/5 *4/5 *4/5 = 64/125 (also equals 0.512)

5/8 * 6/8 * 5/8 = 150/512 (also equals 0.293)

Therefore: 0.512 > 0.293

The evaluation of the expression (2.4) · (1.3) gives 3.12

From the question, we have the following expression that can be used in our computation:

(2.4) · (1.3)

Express as products

This gives

(2.4) * (1.3)

Remove the brackets

So, we have the following representation

2.4 * 1.3

Evaluate the product

3.12

Hence, the solution is 3.12

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The probability that the squad will have exactly three women members is 0.389

Total number of people in CU Boulder triathlon = 21

Number of Men = 9

Number of Women = 12

We are told that a 5-member squad is selected and now we want to find the probability that the squad will have exactly 3 women members.

Thus;

P(exactly 3 womens) = (12C3 * 9C2)/(21C5)

P(exactly 3 womens) =7920/1716

P(exactly 3 womens) = 0.389

Hence, the probability that the squad will have exactly three women members is 0.389

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The time taken to label 750 books if Clare labels books at 15 books per minute is 50 minutes.

In this situation, Clare volunteers at a library during the summer and has to label 750 books and she labels books at 15 books per minute and she takes no breaks.

Let the time taken to label the 750 books be represented by x.

This will be illustrated as:

1/x = 15/750

Cross multiply

(15 × x) = (750 × 1)

15x = 750

Divide

x = 750 / 15

x = 50

The time is 50 minutes.

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Complete question

Clare volunteers at a library during the summer and has to label 750 books. Clare labels books at 15 books per minute and she takes no breaks, then it would take her minutes to finish labeling all the books.

The value of the shorter base which is x is 8 feet.

A trapezium is a quadrilateral with exactly one pair of opposite sides parallel to each other. The trapezium is a two-dimensional shape that appears as a table when drawn on a sheet of paper.

It has four sides and four vertices.

The trapezium is made of a rectangle and triangles.

Area of a trapezium = 1/2 (a + b ) h

where a = small base, b = big base and h = height.

from the above, b = 24 feet, h = 6 feet, a = x and area = 96 square feet

substituting the above into the equation

1/2 ( 24 + x) x 6 = 96

6(24 + x) = 96 x 2

6(24 + x ) = 192

multiplying the terms by 6

144 + 6x = 192

6x = 192 - 144

6x = 48

x = 48/6

x = 8 feet

In conclusion, the value of x is 8 feet

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The graph of the linear inequality 4x + 0.5y ≤ 40 is given by the image at the end of the answer.

The first step in graphing the linear inequality is identifying the domain of the situation.

Only numbers in the first quadrant are plotted, hence the first two constrains for the domain are given as follows:

The inequality is a linear inequality, hence the next step is identify the intercepts and then trace a line connecting them.

The x-intercept is the value of when y = 0, hence:

4x = 40

x = 40/4

x = 10.

Hence it is represented by point (10,0).

The y-intercept is the value of y when x = 0, hence:

0.5y = 40

2 x 0.5y = 2 x 40

y = 80.

Hence it is represented by point (0,80).

The values less than the inequality are plotted, hence the graph is composed by the points on the first quadrant and below the line 4x + 0.5y = 40, as shown by the image at the end of the answer.

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The 5th letter of the alphabet is E.

An alphabet is a standardized collection of basic written symbols or graphemes that represent the phonemes of different spoken languages.

The letter a begins the English alphabet and ends with the letter z. The alphabet is always written in the same order: a-b-c-d-e-f-g-h-i-j-k-l-m-n-o-p-q-r-s-t-u-v-w-x-y-z. A-B-C-D-E-F-G-H-I-J-K-L-M-N-O-P-Q-R-S-T-U-V-W-X-Y-Z. This is known as "alphabetical order."

The set of 26 symbols represents sounds used in speech and writing. Each character in a syllabary, for example, represents a syllable, whereas characters in logographic systems represent words, morphemes, or other semantic units. In this case, E is the 5th letter.

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In accordance with algebra properties and relationship between logarithms and powers, the logarithm ㏒ₐ (108 / a³) is equal to the pseudolinear expression 2 · b + 3 · c - 3.

In this problem we must determine the base of a given set of logarithms by using algebra properties and relationships between powers and logarithms. Now we proceed to solve:

Step 1 - We get the following equations:

㏒ₐ 2 = b, ㏒ₐ 3 = c  

Step 2 - Now we add the other logarithm:

㏒ₐ (108 / a³)

Step 3 - By logarithm properties:

㏒ₐ 108 - ㏒ₐ a³

㏒ₐ (2² · 3³) - 3 · ㏒ₐ a

㏒ₐ 2² + ㏒ₐ 3³ - 3 · 1

2 · ㏒ₐ 2 + 3 · ㏒ₐ 3 - 3

Step 4 - By Step 1:

2 · b + 3 · c - 3

The logarithm ㏒ₐ (108 / a³) is equivalent to 2 · b + 3 · c - 3.

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I eat pizza or drink bottled water, for example, is a symbolic representation of the following statement.

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The width of the rectangle is 12 feet and the length is 30 feet.

The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

Given that, The perimeter of a rectangle is 84 feet. The ratio of the width to the length is 2:5.

Let the width be 2x and length be 5x,

Perimeter = 2(l+w)

2(2x+5x) = 84

2x+5x = 84/2

2x+5x = 42

7x = 42

x = 42/7

x = 6

Therefore, width = 6x2 = 12

Length = 5x6 = 30

Hence, The width of the rectangle is 12 feet and the length is 30 feet.

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y-intercept: (0,60)

This is given in the table.

Slope: [tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

Using (1,50) and (2,40):

   [tex]m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10[/tex]

The slope is -10.

Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:

   y = -10x + 60

The answer to the given quadratic equation is y =  ( x + 4 )²

A(x + m)2 + n is the formula for completing the square, where m is any real number and n is a constant factor.

The following straightforward formula can be used to finish the square instead of the intricate step-by-step procedure. Find the following in order to complete the square in the phrase ax2 + bx + c:

N = c - (b2/4a) and m = b/2a

Enter these numbers where they belong: ax2 + bx + c = a(x + m)2 + n. These equations are geometrically derived.

Given : A quadratic equation y = 7x² + 56x + 117

this can also written as y = x² + 8 x + 17

y = x² + 4² - 4² + 17

y =  ( x + 4 )²

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Answer: The answer is Fact Family

Step-by-step explanation:

Answer:

146 degrees

Step-by-step explanation:

Sum of all triangle angles equal 180 degrees

We know 2

56 and 90 so we add them

90+56=146

Now we subtract to 180 to find the third angle of the triangle

180-146=34

To find x we gotta subtract 34 from 180 since it’s on a flat plane

180-34=146

angle x=146 degrees

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The probability that the average completion time for a sample of 28 students will be more than 24 minutes is 0.46

The mean of freshman mason basic completion time  is 24.6 minutes

The standard deviation is 5.8 minutes

The probability of completion for a sample of 28 students will be more than 24 minutes and can be found using the normal distribution,

                      P(x > 24)

We need to find the standard form of this random sample using the formula,

              Z = X - μ / σ

where Z is the standard form

           X is the random sample

          μ is the mean

          σ is the standard deviation

Let us substitute the known values in the above equation, we get

                  Z = 24 - 24.6/5.8

                     = -0.6 / 5.8

                     = -0.103

So the standard form is

         P(x > 24) = P(z > -0.103)

By using the z-table, we could find the value of z,

        P(z > -0.103) = 0.46

Therefore, the probability is 0.46

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The angle that is same side exterior angle to ∠ABC is ∠EFH.

When parallel line are cut by a transversal line, angle relationships are formed such as corresponding angles, vertically opposite angles, alternate angles, same interior angles, etc.

AD and EG are parallel to each other.

CH is a transversal line to the parallel lines.

Therefore, let's find the angle that has the same relationship as same side exterior angles as angle ABC.

Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles.

Same side exterior angles are supplementary.

Therefore,

∠ABC and ∠EFH are same side exterior angles.

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0.0147 is the standard deviation for the number of people .

How to interpret a standard deviation?

standard deviation = sqrt(p*(1-p)/n)

                                = sqrt(0.07 * 0.93/300)  

                               = 0.0147

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Answer:

A. -9, -6, 8, 13

B. -4/5, -1/2, -.2, .25

C. -8/3, -2 1/2, 9/2, 4.75

D. -8, -3, -1, 4

E. -1/2, -1/4, .5, 3/4

F. -3/2, -5/4, -4/5, 1.5

Step-by-step explanation:

The easiest thing to do is to put them all in the same format. Fractions are just division problems, so just divide. 4/5 is 4 divided by 5, which is .8.

Remember, the farther a negative number is from 0 on the number line, the smaller it is. So, -8 is smaller than -5. -5 is smaller than -2, etc.