write an equation of the line below ​

Step-by-step explanation:

Given that,

BC = 8

Ac = 15

We can find AB using the pythagoas theorem.

[tex]AB=\sqrt{AC^2+BC^2}\\\\=\sqrt{15^2+8^2}\\\\AB=17[/tex]

We know that,

[tex]\cos\theta=\dfrac{B}{H}[/tex], B is base and H is Hypotenuse

[tex]\cosB=\dfrac{8}{17}[/tex]

Hence, this is the required solution.

Answer:

The value of f(30) is equal to 2.

Step-by-step explanation:

The given expression is :

[tex]f(x)= 10 \sin(x) - 3[/tex]

We need to find the value of f(30)

Put x = 30 in above expression.

So,

[tex]f(x)= 10 \sin(30) - 3\\\\=10\times \dfrac{1}{2}-3\\\\=5-3\\\\=2[/tex]

Hence, the value of f(30) is equal to 2.

Answer:

Both the mean and median and they both gives a measure of 17

Step-by-step explanation:

Given the data about the ages of 7 people :

17,20,22,12,15,12,21

Ordered data: 12, 12, 15, 17, 20, 21, 22

To find the median :

Median = 1/2 * (n+1)th term

n = number of observations = 7

Median = 1/2(7+1)th term

Median = 1/2 *8 = 4th term = 17

Mean = Σx / n = (sum of ages) / number of observations

Mean = 119 / 7 = 17

:

Answer:

12,867.859375

Step-by-step explanation:

24.5/7 = 3.5

Geometric sequence

A_n = 7 * (3.5)^(n - 1)

A_7 = 7 * (3.5)^(7 - 1)

A_7 = 12,867.859375

Answer:

b. He should use the two-sample test of the mean to answer question one and the two-sample test of proportion to answer question two.

Step-by-step explanation:

Here we have two independent groups, Men and Women, therefore, to show if it is the Men or Women who performed better, this can be determined based the mean scores of each group. Therefore, use the two sample test of mean which is used to test whether the unknown mean of two independent population are equal or not.

In other to determine those who have the greater number of admissions between the two groups, this is determined by comparing the proportion of each group admitted. Hence, rather Than testing for the mean, we compare the proportion. Hence, we use the two sample test of proportion.

Answer:

1. No solution

2. No solution

Step-by-step explanation:

1. p-4=-9+p

   -4=-9

No solution

2. 4m-4=4m

    -4=0

No solution

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Answer:

Similar to your other question. Now, you're looking for the score such that this time, 0.99 corresponds to a z-score of approximately, which means

Answer:

(0, 19)

Step-by-step explanation:

In slope-intercept form, the constant at the end of the equation is the value of the y-intercept.

You can also solve for the y-intercept by letting x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.

y = 10(0)/3 + 19

y = 0 + 19

y = 19

Therefore, the y-intercept is (0, 19).

The y-intercept is (0, 19).

The y-intercept is the point where the graph intersects the y-axis.

Given is an equation of a line, y = 10x/3+19

To solve for the y-intercept,

Put x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.

y = 10(0)/3 + 19

y = 0 + 19

y = 19

Therefore, the y-intercept is (0, 19).

For more references on y-intercept, click;

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Answer:

B abd = cbe

Step-by-step explanation:

ABC = DBE

so

ABC + CBD = DBE + CBD

The statement which is true is ZABC - ZABD, the correct option is A.

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

We are given that;

Angle ABC = Angle DBE

Now,

A flowchart proof is a formal proof that is set up with boxes that flow from one to the next with arrows1. The statements, which are true facts that we know, are placed in the boxes, with the reason we know them on a line underneath2. We can prove theorems are true using flowchart proofs.

To justify each step in the flowchart proof, we have to provide a reason for each statement based on definitions, postulates, properties or previously proven theorems. Here is how we can fill in the blanks:

A: Given B: Definition of angle bisector C: Definition of congruent angles

Therefore, graphically the answer will be ZABC - ZABD.

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Answer:they have the same vertical stretch

Step-by-step explanation:

Answer:

∨∨∨∨see below∨∨∨∨∨∨

Step-by-step explanation:   6  26  18  13

The two outside angles are congruent.  The two inside angles are supplemental thus they are equal.  The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.

find x

4 is to x as 5 is to 7.5

   4/x = 5/7.5      solve for x

   4 × 7.5 / 5  = x

    30 / 5  =  x

       6 = x

Answer:

P(X < 1) = 0.5

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 1 L and standard deviation of 0.05 L.

This means that [tex]\mu = 1, \sigma = 0.05[/tex]

Find P(X < 1).

This is the p-value of Z when X = 1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1 - 1}{0.05}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5. Thus

P(X < 1) = 0.5

Answer:

3 Pounds of Coffee

Step-by-step explanation:

To find out how much she spent on the pounds of coffee, you would have to takeaway $65.37 away from the total of $90 which will give you $24.63, which is how much she has spent on the coffee. To find out how many pounds of coffee she bought, you would have to divide $24.63 by $8.21 giving you 3, which is how many pounds of coffee Teresa bought.

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Answer:

86400 sec

Step-by-step explanation:

24 hour⇒ sec

1 hr = 3600 sec

So,

24×3600

= 86400 sec

Answer:

His new salary would be $61,694

Step-by-step explanation:

Answer:

Step-by-step explanation:

7

Answer:

28.8

Step-by-step explanation:

Multiply each by x

8x : 17x

Complementary angles add to 90

8x+17x = 90

25x = 90

Divide each side by 25

25x/25 = 90/25

x=3.6

The smallest angle is 8x

8*3.6 =28.8

Answer:

0.5

Step-by-step explanation:

Step-by-step explanation:

u have solve it by finding slope(m)

and substitute is general eq of straight line

y = mx + c

Answer:

y = 2x - 6

Step-by-step explanation:

These are actually pretty fun to do once you get the hang of it! Here are the steps!

The formula for slope intercept form is y=mx + b.

m is the slope and b is the y-intercept. Let's start with finding the y-intercept (also known as b).

To find the y-intercept, look at where the line crosses the y-axis. In your equation, the line crosses the y-axis at -6. Plug -6 in for b in the equation.

y = mx + (-6)

Now were going to find the slope. To find the slope, you need to find the rise over run. To start, first find a point on the graph where the line goes through an integer (just pick one of the blue dots). Then, count how many squares you go up or down, and how many you go to the left or right before you hit the next blue dot. Divide the rise over the run, and you have your slope! Here are the steps for the problem:

To get from one dot to another, you rise up 2 units, and you run to the right 1 unit. Plugging those integers into rise/run, you get 2/1 which simplifies to 2. That's your slope.

Now all we need to do is plug the slope into the formula, and you have your equation!

Answer: y = 2x - 6

Answer:

Base = 19

Height = 26

Step-by-step explanation:

Given :

Height, h = base, b + 7 feets

The area of triangle, A = 247 ft²

The area of a triangle is given by :

A = 1/2 * base * height

247 = 1/2 * b * (b + 7)

247 = 0.5 * b * (b + 7)

247 = 0.5b² + 3.5b

0.5b² + 3.5b - 247 = 0

Solving the quadratic equation ; using the quadratic equation solver, the roots are :

b = -26 or b = 19

Length of base can't be negative :

Hence,

Base, b = 19

Height, h = base + 7 = 19 + 7 = 26

9514 1404 393

Answer:

  (x, y) = (-1, -16) or (3, 0)

Step-by-step explanation:

Perhaps you want to solve the system of equations ...

Substituting the first expression for y into the second equation gives ...

  x^2 +2x -15 -4x = -12

  x^2 -2x -3 = 0 . . . . . . . . add 12

  (x -3)(x +1) = 0 . . . . . . .  factor

Solutions are the values of x that make the factors zero: x = 3, x = -1.

The corresponding values of y are ...

  y = -12 +4x

  y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}

The solutions to the system are ...

  (x, y) = (-1, -16) or (3, 0)

Answer:

Option D

Step-by-step explanation:

Given f(x) = [tex]\sqrt[3]{4x}[/tex]

g(x) = 2x + 3

Since, [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

                     [tex]=\frac{\sqrt[3]{4x}}{2x+3}[/tex]

This function is defined for the denominator is not equal to zero.

(2x + 3) ≠ 0

x ≠ [tex]-\frac{3}{2}[/tex]

Therefore, Option D will be the correct option.

Answer:

option c is the correct answer

first take y raised to the power 4 common then cancel its power by y raised to the power 3

you get your answer

Answer:

B=34, A=56

Step-by-step explanation:

56 + 90 + B = 180

=) B=34

A is head to head with 56°.

Answer:

First gap:

√1000/16

= 8 seconds

Second gap:

Rearrange formula:

√d = 4t

40=√d

d = 6 meters.

Step-by-step explanation:

[tex]B=100e^{0.592t}[/tex]

c) To solve for t, take the natural logarithm of the above equation:

[tex]\dfrac{B}{100}=e^{0.592t}[/tex]

[tex]\Rightarrow \ln \left(\dfrac{B}{100} \right) = \ln e^{(0.592t)}=(0.592t)\ln e[/tex]

Recall that [tex]\ln e = 1[/tex] so we can rewrite the equation above as

[tex]0.592t = \ln \left(\dfrac{B}{100} \right)[/tex]

Finally, solving for t, we get

[tex]t = \frac{1}{0.592} \ln \left(\dfrac{B}{100} \right)[/tex]