Draw the triangle and find the missing side then find the indicated trigonometric value. How do i solve this problem?

The measure of angle Y from triangle XYZ is 99°. Therefore, option C is the correct answer.

Given that, in ΔXYZ, m∠X = 38°, m∠Y = (5x - 11)°, and m∠Z = (4x - 45)°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Using angle sum property of triangle, we get

m∠X+m∠Y+m∠Z=180°

⇒ 38°+(5x - 11)°+(4x - 45)°=180°

⇒ 9x+38-11-45=180

⇒ 9x-18=180

⇒ 9x=180+18

⇒ 9x=198

⇒ x=22°

So, m∠Y = (5×22 - 11)°

=110-11

= 99°

The measure of angle Y from triangle XYZ is 99°. Therefore, option C is the correct answer.

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Hello there. To solve this question, we'll have to use the data from the graph (dot plot) and determine the answers for each letter.

a) How many babies begin walking before 13 months of age?

For this, we have to add all the number of babies walking from the dot plot that are less than 13.

In this case, we add the values of babies walking with 9, 10, 11 and 12 months:

1 + 1 + 3 + 5 = 10

Therefore 10 babies have begun walking before 13 months of age.

b) What percent of babies begin walking at 12 months?

For this, we add the entire number of babies walking by age and calculate the ratio between the number of babies walking at 12 months and this result.

We have 25 babies at total and 5 of them began walking at 12 months of age, so now we take the ratio:

c) Which three ages combined account for less than 16% of the babies?

For this, we find how many is 16% of 25, that is, the total of babies:

So we have to find which three ages combined gives us less than 4 babies.

Notice we cannot choose the ages 12, 13, 14 because their number of babies, alone, are already bigger than 4.

We cannot also choose 11, because it is equal to 3 and all the other options are bigger than or equal to 1, so adding it with something else already would be equal to 4.

The same happens to 15 and 16, because their assigned value is 2, so adding both together gives us 4 and since all the others are greater than or equal to 1, we could not add other two together with them.

That's why the final answer is 9, 10 and 17, because they are the only numbers left that add up to 3 and this is a number less than 4, that is, less than 16% of the babies.

Explanation:

Standard form is Ax + By = C

Known points are (-3, 6) and (-1.5, 6.75)

Find the slope:

6.75-6/-1.5+3 = 0.75/1.5 = 0.5

Put in point slope form first: y - y1 = m (x-x1)

y - 6 = 0.5 (x + 3)

Then rewrite to standard form:

y - 6 = 0.5x + 1.5

-0.5x + y = 1.5 +6

-0.5x +y = 7.5

Given:

Given a line.

To determine the slope, we use the formula:

Next, we select the points based on the give line:

We plug in what we know:

Therefore, the slope is 2.

Okay, here we have this:

Considering the provided expression, we are going to rationalize the denominator, so we obtain the following:

Finally we obtain that the correct answer is the second option.

The domain is all values of x except 1

the range is all values of y < -1

domain (-∞,1)U(1,∞)

range (-∞,-1)

The equation of the line in slope intercept form is:

y = 8x - 4

Given, we have slope = 8

Point = (1,4)

Equation in slope intercept form is:

y = mx+c

let the point (1,4) ne (x₁,y₁)

and slope (m) = 8

y - y₁ = m(x-x₁)

y - 4 = 8(x - 1)

y - 4 = 8x - 8

y = 8x - 8 + 4

y = 8x - 4

Hence the equation in slope intercept form is y = 8x-4

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Ok, well, I think I need to the see previous problem. But from the information given, I think the right choices are:

a) tenth

b) 31.8

c) 32

ANSWER

EXPLANATION

The volume of a cone is given by:

where r = radius

h = height

The height of the given cone is 6 ft and its diameter is 6 ft. The radius of a cone is half its diameter, hence its radius is:

Hence, the volume of the cone is:

That is the answer.

CIRCLE THEOREM: Two tangents drawn from an external point to a circle are equal.

Thus, AB is a tangent to the circle and also BC is another tangent to the circle, both drawn from point B.

AB = BC;

The value of x is 8.5

To find:

The amount owed.

Solution:

It is known that the amount owed when the money is compounding continuously at a rate of r per year for the time t years is given by:

Here, P = 2700, r = 0.045, t = 2, so the amount is:

Thus, the amount he owed after 2 years is $2954.27.

the initial fraction es 1/4, so if we multiply the fraction by 2/2 it become:

and if we multiply by 6/6

So the solution is fraction 2/8 and fraction 6/24

If we have two fractions a/b and c/d:

To determine which one of them is greater we make the cross product:

We have 3 cases:

- If ad is greater than bc, then a/b is greater than c/d

- If bc is greater than ad, then c/d is greater than a/b

- If ad is equal to bc, then a/b is equal to c/d

For 1/2 and 2/7:

Given,

To find the roots

The required roots are,

We have two grading systems, with different weights for different items.

We have to calculate, for a certain points of the different items, which grading systems gives a higher weighted average score.

To do so we multiply each percentage to each of the items points and add them all.

We start with grading system 1:

The grading system 1 gives an average score of 80.3.

We apply the grading system 2 coefficients and we get:

The grading system 2 gives an average score of 81.85.

With the grading system 2, the final score is a little higher than with grading system 1. So we would prefer the system 2.

Let

x -----> number of play student tickets sold

y ----> number of general admission tickets sold

we have that

x+y=177 ------> x=177-y -----> equation A

7x+9y=1365 -----> equation B

solve the system

substitute equation A in equation B

7(177-y)+9y=1365

solve for y

1239-7y+9y=1365

2y=1365-1239

2y=126

y=63

Find the value of x

x=177-63

x=114

therefore

The slope of the line is 9/2 passing line through the points(2, 5) and ( o, -4)

A line's slope is how steep it is moving from LEFT to RIGHT. The slope of a line is the ratio of its climb, or vertical change, to its run, or horizontal change. The slope remains consistent regardless of where you choose for the line's starting and finishing locations (it never changes).

We know that the formula to find the slope of a line is

m = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the points

The points given are (2, 5) and (0, -4)

Substituting it in the formula

m = (-4 - 5)/ (0 - 2)

So we get

m = -9/ -2

m = 9/2

Therefore, the slope of the line is 9/2.

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The equation of slope of the graph is,

Consider,

Then,

Therefore, the correct option is A

The given solutions are:

n = 3

p = 0.5

mean Hx= 1.5

standard deviation 0x = 0.866

The value of n = 3

The fair coin is said to have been flipped 3 times

P = 0.5

The coin has two faces, the probability of either face would be 1 / 2

= 0.5

Next we have to solve for the mean of x

μ[tex]_{x}[/tex] = n * p

= number * probability

= 0.5 * 3

= 1.5

The standard deviation

σ[tex]_{x}[/tex] = [tex]\sqrt{np(1-p)}[/tex]

= √1.5(1-0.5)

= √1.5*0.5

= √0.75

= 0.866

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Divde the number of cups by the number of forks

8 cups to 56 forks = 8 /56 = 0.14

4 cupts to 28 forks = 4 /28= 0.14

Both are rates are equivalent

ok

Total sandwiches = Hand and Cheese + Pastrami

= 4s^3 - 28s^2 + 33s + 250 - 7.4s^2 + 32s + 180

= 4s^3 - 35.4s^2 + 55s + 430

Solution

- Experimental probability is the probability gotten from conducting experiments and it is different from theoretical probability which is derived from hypothetical situations.

- In this question, the hypothetical situation that leads to the theoretical probabilities of getting a red, an orange, and so on, is the fact that the question already said the smallest section of the circle is 1/16 and every other portion is a multiple of this.

- The experimental probabilities are gotten from the table and the formula for calculating this probability is given below:

- Thus, we can proceed to find the experimental probabilities of finding any of these colors as follows:

Orange:

Green:

Blue:

Step 1: Find the base area of the tank.

The base of the tank is a rectangle of length 2 ft and width 0.5 ft.

Hence,

Step 2: Find the height of the water in the tank.

The height of the tank = 1.5ft

the height of the gravel = 3in = 3/12 ft = 1/4 ft

The water is 3 inches (= 1/4 ft) below the top of the tank.

Hence, we must have that

Therefore, the height of the water in the tank is 1 ft.

Step 3: Find the volume of the water in the tank

Therefore,

Since 1 gallon is equivalengt to 0.134 ft³ then

Hence, the number of gallons of water are needed to fill the aquarium is 7.5 gallons.

Given,

The expression is,

The rational theorem tells that if the polynomial has the rational 0 then it must be a fraction p/q, where p is a factor of constant term and q is the factor of leading coefficient.

The constant term 216 with factors:

The leading coefficient is 1, with a single factor of 1.

Substitute the possible roots one by one into the polynomial to find the actual roots. Start first with the whole numbers.

p(6)=0 so x=6 is a root of a polynomial p(x).

Using factor theorem to find the remaining roots,

Hence, the roots are 6, -3-3sqrt(3)i, and -3+3sqrt(3)i. So, option A is correct.

ANSWER:

$ 241848.33

STEP-BY-STEP EXPLANATION:

Given:

P = $4000

r = 3% = 3/100 = 0.03

n = 35 years

The formula for the future value is:

Therefore, after 35 years, he would have $ 241848.33 in the account.

Since the endpoints of the diameter are (10, 1) and (-8, 1)

Then the center of the circle is the midpoint of these 2 points

We will use the rule of the midpoint to find the center

The center of the circle is (1, 1)

The length of the diameter is the difference between the x-coordinate

The distributive property can be applied in the following form:

Now, the given values are: a=-4, b=s and c=4.

Let's replace them in the equation and solve:

Then, the answer is -4s+16

Lonny takes a loan of 250000 and repays $1250 /month

in a year he pays 1250 x 12 =$15000

in 25 years he pays 15000 x 25 =$375000

mia pays 1360/ month. In a year she pays 1360 x 12 =$16320

in 25 years she pays 16320 x 25= $408000

difference in cost = 408000 -37500 = $33000

it will cost mia $33000 more for the loan.

Factor the trinomial

by the box method.

The multiplication gives -24y^2. Now we need to find two factor that gives 5x. It should be creal that this factor are 8y and -3y. Then:

Now we find the common factor for each column and row:

Therefore:

We need to re-write x into one exponent:

Simplify: