In ATUV, the measure of ZV=90°, VU = 7, UT = 25, and TV = 24. What ratiorepresents the sine of ZU?U25NVT24Answer:Submit Answer

Based on the given figure, the area of the figure can be found to be 126.50 cm²

The figure given is a mix of a triangle and a rectangle. The area of the figure can then be found by finding the area of the triangle and the rectangle individually, and then summing them up.

The area of a rectangle is:

= Length x Width

= 8 x 11

= 88 cm²

The area of the triangle is:

= 1/2 x base x height

= 1/2 x 11 x 7

= 38.5 cm²

The area of the figure is:

= 88 + 38.5

= 126.50 cm²

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The length of the support when Maria is to weld a support for a 23-m conveyor is 7.87 m.

From the information, Maria is to weld a support for a 23-m conveyor so that it will operate at a 20 degree angle.

Let AB = 23m

Let x = 20°

We can then use the sine rule to find the length. This will be illustrated thus:

Sin x = AC / AB

Sin 20° = AC / 23

AC = 23 × sin 20°

AC = 7.87

The length is 7.87m

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Answer:

Every investment carries some degree of risk, All investments carry some degree of risk. Stocks, bonds, mutual funds, and exchange-traded funds can lose value, even all their value, if market conditions sour. Even conservative, insured investments, such as certificates of deposit (CDs) issued by a bank or credit union, come with inflation risk. They may not earn enough over time to keep pace with the increasing cost of living.

Step-by-step explanation:

well, keeping in mind that a year has 12 months, that means 6 months is 6/12 of a year, so

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1498\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases} \\\\\\ I = (1498)(0.06)(\frac{1}{2}) \implies I = 44.94[/tex]

ANSWER

Hypotenuse: 16 ft

Leg: 4 ft

EXPLANATION

Given:

A right angle triangle with only one leg = sqrt(240) feet

Desired Outcomes:

Lengths of the leg and hypotenuse

Declaration of variables

Let x represent the length of leg

Hypotenuse = 4 times the length of leg = 4x

Apply Pythagorean theorem

Hypotenuse = 4x = 4 (4) = 16 ft

Hence, the Lengths of the leg and hypotenuse are 4 ft and 16 ft respectively.

Step-by-step explanation:

The Answer

I hope you are doing well and I don't want to be a part of this the only reason why you would want this

Given:

Total number of books is, N = 20.

Number of books donated is, d = 2/5 of books.

The objective is to find the number of books donated.

Consider the number of books donated as x.

Hence, the number of books donated is 8.

Answer:

Step-by-step explanation:

To factor the following polynomial, break the expression into groups:

The grouping method can be used to factor polynomials whenever a common factor exists between the groupings. Just find families easier-to-factor groups that we can better approach the problem.

Then, factor it using factor by grouping:

The total money that is earned on Thursday is $1090

From the question, we have the following table of values

                                   Monday         Tuesday          Wednesday

Plumber A                       2                    8                           8

Plumber B                       4                     7                           10

Plumber C                       3                     9                         9

Using the given parameters in the question, we have the following system of equations

2a + 8b + 8c = 1400 --- (1)

4a + 7b + 10c = 1660--- (2)

3a + 9b + 9c = 1650 --- (3)

Subtract equation (2) from twice equation (1)

So, we have

(4a + 16b + 16c = 2,800) - (4a + 7b + 10c = 1,660)

This gives

9b + 6c = 1140 --- (4)

Subtract four times equation (3) from three times equation (2)

So, we have

12a+ 21b +30c = 4,980 -(12a + 36B + 36c = 6,600)

This gives

-15b - 6c = -1,620 --- (5)

Add equations (4) and (5)

(9b + 6c = 1140) + (-15b - 6c = -1620)

So, we have

-6B = -480

Divide by -6

b = 80

Substitute b = 80 in -15b - 6c = -1,620

-15 x 80 - 6c = -1,620

Evaluate

-1200 - 6c = -1,620

So, we have

-6c = -420

Divide

c = 70

In (2), we have

4a + 7b + 10c = 1660

This gives

4a + 7 * 80 + 10 * 70 = 1660

Evaluate

4a = 400

Divide

a = 100

On Thursday, we have

a = 4, b = 6 and c = 3

So, we have

Total = 4 * 100 + 6*80 + 3*70

Evaluate

Total = 1090

Hence, the total earnings is 1090

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The linear equation can be written as:

y = (3/4)*x + 17/4

And the graph can be seen at the end.

A general linear equation is of the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

Here we have the slope m = 3/4, so we get:

y = (3/4)*x + b

And the line passes through (1, 5), replacing these values in the equation we get:

5 = (3/4)*1 + b

5 - 3/4 = b

20/4 - 3/4 = b

17/4 = b

So the linear equation is:

y = (3/4)*x + 17/4

To graph the line we need other point, if we use x = 0 we get:

y = (3/4)*0 + 17/4 = 17/4

Then we have the points (1, 5) and (0, 17/4).

To graph the line, we just need to find these two points and connect them with a line, the graph can be seen below.

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The length of ladder is L = 42 foot.

The distance between base of building and ladder is b = 8.5.

Determine the measure of angle by using the trigonometry.

So measure of angle is 78.3 degree.

A 220lb person on earth would weigh 23.81lb on moon

Given

Weight of an object on moon varies same as that on the planet earth

This means the weights are directly proportional

Weight of person on earth = 162.7lb

Weight of person on moon = 27.66lb

Also,

Weight of person on earth = 220lb

We need to find weight of this person on moon.

Let weight of person on moon be x

According to the data equation can be formed as

27.66 x 220 = 162.71x

3885.2 = 162.71x

x= 23.81

Hence the weight of the person on moon is 23.lb

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Given:

a.) f(x) = x²

b.) g(x) = f(x) + d

c.) d = 2

To be able to complete the equation of function g(x), let's substitute the function of f(x) and d.

We get,

g(x) = f(x) + d

g(x) = x² + 2

Therefore, g(x) = x² + 2.

Answer:

The value of the given expression is;

Explanation:

Given the logarithmic expression;

To solve, Recall the rules of logarithm;

Apply the above rules;

Aplplying rule 2;

Therefore, the value of the given expression is;

1) Whenever we have problems that deal with the real distance and distance on the map, we can write out the following formula:

So, let's call the Real distance "R". Note that in this question, 1 centimeter represents 20 kilometers

2) So, in order to plug that as the scale we need to convert kilometers to centimeters:

3) Finally, we can plug that into the formula and cross multiply the ratios this way:

Converting it back to kilometers we can write:

Answer:

There is no picture.

Step-by-step explanation:

If you ask a question, be mindful that people cannot read each other minds.

r: {8, 3, 4, 7}

Explanation:

y = |x|

domain = -8, -3, 4, 7

domain are the x values or input

r = range

Range are the y values or output

when x = -8

y = |-8| = 8

when x = -3

y = |-3| = 3

when x = 4

y = |4| = 4

when x = 7

y = |7| = 7

r: {8, 3, 4, 7}

blank 1 = 8

blank 2 = 3

blank 3 = 4

blank 4 = 7

The luckiest person is Clinton because it is more likely.

Answer: Clinton

SOLUTION

This is a probability question that has to do with the "without replacement" scenario, because every chocolate eaten leaves the box and never returns

The probability that both pieces are milk chocolate is calculated thus:

Number of milk chocolates = 5

NUmber of dark chocolates = 5

Total number of chocolates in the box = 5+5 =10

The probability that both pieces are milk chocolate is:

The probability that both pieces are milk chocolate is:

1) To determine which is the function from the table we need to attentively look for a constant factor in the y-column.

2) As we can see from this table, the factor we can tell that goes from 64 to 16 and then 4 is 1/4. Or in decimal form 0.25. So, we can tell the factor "b" is going to be 1/4 considering this model:

3) Let's pick one point (0,4) and plug it to find the other elements:

And finally, we can tell the function is:

THE TRICK IS TO FIND THE VALUE OF X AND Y FIRST.

I WILL USE SUBSTITUTION TO SOLVE THIS SYSTEM OF EQUATIONS.

[tex]y = 4 - 2x......(3)equation[/tex]

[tex]2x - (4 - 2x) = 8 \\ 2x - 4 + 2x = 8 \\ 2x + 2x = 8 + 4 \\ 4x = 12 \\ \frac{4x}{4} = \frac{12}{4} \\ x = 3[/tex]

[tex]y = 4 - 2(3) \\ y = 4 - 6 \\ y = - 2[/tex]

THEN FOR 3X-Y PLUG IN THE VALUES YOU FOUND FOR X AND Y

[tex] = 3(3) - ( - 2) \\ = 9 + 2 \\ = 11 \\ 3x - y = 11[/tex]

ATTACHED IS THE SOLUTION

Answer

7 years

Explanation

Given:

Principal, P = $10,000

Rate, R = 6.75%

Amount, A = $15,000

What to find:

The years will it take the investment to reach $15,000 in value.

Step-by-step solution:

You need to first calculate the total interest on the investment using;

Interest, I = Amount, A - Principal, P

Interest, I = $15,000 - $10,000

Interest, I = $5,000

The final step is to find the years it takes the investment to reach $15,000 in value using simple interest formula.

Putting the values of the parameters into the formula, we have;

Therefore, it will take 7 years for the investment to reach $15,000 in value.

To answer this question, we need to remember that a ratio is a comparison of two or more units. We can also need to have into account that these units must be in the same units.

We have one of the quantities is 6ft, the other is equal to 78 inches. We can convert 6ft to its equivalent in inches, or 78 inches into its equivalent in feet. Then, we have:

Then, we can conclude that the ratio of 6feet (72 inches) to 78 inches is equivalent to:

Explanation:

To determine if the table is proportional or not, we need to find the ratio between x and y for each of the data. if it is constant, then it is proportional

Proportional relationship:

y = kx

k = constant of proportionality

k = y/x

for the x = 7, y = 8.4

k = 8.4/7 = 1.2

for x = 11, y = 13.2

k = 13.2/11 = 1.2

for x = 20, y = 24

k = 24/20 = 1.2

for x = 25, y = 30

k = 30/25

k = 1.2

when x = 100, y = 120

k = 120/100

k = 1.2

Since the ratio between y and x is the same for all, the table is proportional

The correct option:

The

Answer:

See below

Step-by-step explanation:

If I did the math numbers correctly :  ( a = 51° too)

No, a function whose input value is time of day and whose corresponding output value is temperature at that time of day, rounded to the nearest degree is not a one-to-one function.

A one-to-one function is also referred to as an injective function and it can be defined as special type of function in which every element of the range is mapped to exactly a single element of its domain. This ultimately implies that, the output values (y-values) of a one-to-one function never repeat themselves.

Additionally, a one-to-one function maps distinct elements of its domain (y-values) to distinct elements of the range (x-values) and as such, it connotes the mapping of two (2) sets.

In this context, we can reasonably and logically deduce that this function is not a one-to-one function because it fails the horizontal line test as there could be the same temperature at different times of the day.

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Answer:

4.number 1

5.number 2

Step-by-step explanation:

4.Because the the expression tan can be written as sin divided by cos it will be beneficial to write the square of cos as cos multiplied by cos so that after canceling out we are left with cos multiplied by sin of the left hand side.

5.because transforming cos squared to 1-sin squared will allow us to to have a fraction where both the numerator and denominator are the same which equals one.