What is the area of triangle TUV?

A.
3 square units
B.
5.25 square units
C.
7 square units
D.
20.5 square units
E.
35 square units

Answer:

Step-by-step explanation:

The Pick's theorem

Let P be a polygon in the plane whose vertices have integer coordinates. Then the area of P can be determined just by counting the lattice points on the interior and boundary of the polygon!

In fact, the area is given by

[tex]A=i+\dfrac{b}{2}-1[/tex]

where i is the number interior lattice points, and b is the number of boundary lattice points.

Look at the picture.

i = 38

b = 14

Substitute:

[tex]A=38+\dfrac{14}{2}-1=38+7-1=44[/tex]

It's an expression that's made out of the product of two binomials.

When the indicated multiplication is carried out, the expression reads:

a²b² - ab - 72

ANSWER

[tex](ab-9)(ab+8) = {(ab)}^{2} - ab - 72[/tex]

EXPLANATION

We want to expand (ab-9)(ab+8)

We use the distributive property to obtain,

[tex](ab-9)(ab+8) = ab(ab+8)-9(ab+8)[/tex]

Expand:

[tex](ab-9)(ab+8) = {(ab)}^{2} +8ab-9ab - 72[/tex]

Combine the middle terms to get;

[tex](ab-9)(ab+8) = {(ab)}^{2} - ab - 72[/tex]

Or

[tex](ab-9)(ab+8) = a^2b^2 - ab - 72[/tex]

Answer:

875 yearbooks.

Step-by-step explanation:

To maximize profit, at $8125 prices should the school charge for the yearbooks

Simplify first the equation,

R(x) = 25000 - 2500x + 6250x - 625x²

Then, we differentiate the equation and equate to zero.

dR(x) = -2500 + 6250 - 1250x = 0

The value of x from the equation is 3.

(1) The price is equal to 50 - 5(3) = $35.

(2) The possible maximum revenue:

R(x) = 2500 - 2500(3) + 6250(3) - 625(3²) = $8125

(3) number of yearbooks sold:

500 + 125(3) = 875 yearbooks

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The answer is 37.6991 i hope i answered your question

Answer:

x = 137

Step-by-step explanation:

∠43° and ∠x° are same side exterior angles as they are on the same side as the transversal but outside the parallel lines. The 2 angles are supplementary, hence

x + 43 = 180 ( subtract 43 from both sides )

x = 137

Based on the information given, the value of x will be 137°.

It should be noted that angles x and 43° are on the same side of the transversal but they're are outside the parallel lines. In this case, the angles are supplementary which means that when they are added together, their total angles equal 180°.

Therefore, the value of angle x will be:

= 180° - 43°

= 137°

Therefore, x is 137°.

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Buyology

Hope I helped with this clever pun I’ve said since high school

The required scientific name for the study of shopping is termed oniomania.

Scientific names are used to provide a name to an organism or object such that two individuals can be sure that they are referring to the same organism.

Oniomania, the scientific name for the study of shopping,
Oniomania shows a strange instinct for buying things. It is an addiction to shopping.

Thus, the required scientific name for the study of shopping is termed oniomania.

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Answer:

d

Step-by-step explanation:

plug the answers in

The answer to the problem is b

Answer:

y=absolute value of x-1   Looks kind of like y=Ix-1I

Step-by-step explanation:

Answer:

y= IX+1I

Step-by-step explanation:

In these cases +1 is to the left and minus one is to the right

Answer: 105 liters on 7 min.

Step-by-step explanation:

Since the unit rate of the liters to minutes is 15:1. Since its 15 liters in 1 minute you would have to multiply 15 by 7, and your answer would be 105 liters in 7 minutes.

Remember to multiply the unit rate by the min. or units.

Answer:

[tex]\$164.62[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

case A) compounded monthly

in this problem we have  

[tex]t=25\ years\\ P=\$5,000\\ r=0.06\\n=12[/tex]  

substitute in the formula above  

[tex]A=\$5,000(1+\frac{0.06}{12})^{12*25}=\$22,324.85[/tex]  

case B) compounded quarterly

in this problem we have  

[tex]t=25\ years\\ P=\$5,000\\ r=0.06\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$5,000(1+\frac{0.06}{4})^{4*25}=\$22,160.23[/tex]  

Find the difference

[tex]\$22,324.85-\$22,160.23=\$164.62[/tex]

Answer:

$164.62

Step-by-step explanation:

Answer:

-∞ < x < ∞

Set of all integers

Step-by-step explanation:

Given in the question two functions

f(x) = [tex]x^{\frac{1}{3} }[/tex]  = ∛x

g(x) = 3x + 1

(f*g)(x)

f(g(x))

∛(3x+1)

Domain of (f*g)(x)

In function ∛(3x+1) , variable x can be any integer.

so, the domain is set of all integers

-∞ < x < ∞

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=676\pi \end{cases}\implies 676\pi =\pi r^2\implies \cfrac{676\pi }{\pi }=r^2 \\\\\\ 676=r^2\implies \sqrt{676}=r\implies 26=r~\hspace{10em}\stackrel{\textit{diameter = 2r}}{52}[/tex]

Alright, so it would be -2 since on a coordinate grid you have the x and y axis. The slope of the line that passes through (-2, 2) and (-4, -2) would be -2.

I hope this helps!~ c:

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (- 4, - 2)

m = [tex]\frac{-2-2}{-4+2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

Volume for a triangular prism: = 1/4 of height. base side A^4 + 2(base side A  base side B{ab})^2 + 2(base side A  base side c{ac}) - b^4 + 2 (base side B and base side C {bc])^2 - c^4

Basically, for 2(ab) you do a times b (base1 * base2) and then double it.

Please correct me if i'm wrong.

-Phwee

Answer:

Question 1) 17.4

Question 2) 1.7

Question 3) 2.8

Question 4) 8.6

Step-by-step explanation:

Mean absolute deviation is the average distance between the data points from the set to the mean point of the data set. It shows the variability in data or how much the data points are spread.

method to calculate Mean absolute deviation:

a. calculate mean

b. calculate absolute deviation of each data point

c. add all the deviations

d. divide absolute deviation by number of points

mean absolute deviation = ∑l[tex]x_{i}[/tex]-xl / n

The given problem has four sub-parts

Solution 1:

Mean= (78+99+90+80+55+56+102+88+60+42)/10

            =  750/10

            =  75

Mean absolute deviation= ( I 78-75 I + I 99-75 I+I 90-75 I + I 80-75 I +

                                             I 55-75 I + I 56-75 I + I 102-75 I + I 88- 75 I +

                                             I 60-75 I + I 42-75 I) /10

         =  (174)/10

        =  17.4

Solution 2:

Mean = (10+13+7+12+9+8+12+10+11+13)/10

              =  (105)/10

              = 10.5

Mean absolute deviation = ( I 10-10.5 I + I 13-10.5 I + I 7-10.5 I + I 12-10.5 I +

                                              I 9-10.5 I + I 8-10.5 I + I 12-10.5 I + I 10-10.5 I +

                                               I 11-10.5 I + I 3-10.5 I) /10

       =   17/10

       = 1.7

Solution 3:

Mean= (1+7+10+5+3+3+6+12+9+4)/10

            =  60/10

            =  6

Mean absolute deviation  = ( I 1-6 I + I 7-6 I + I 10-6 I + I 5-6 I + I 3-6 I +

                                               I 3-6 I + I 6-6 I + I 12- 6 I + I 9-6 I + I 4-6 I) /10

         = (28)/10

        =  2.8

Solution 4:

Mean= (30+46+25+45+18+25+15+32+40+24)/10

            =  300/10

            =  30

Mean absolute deviation  = ( I 30-30 I + I 46-30 I + I 25-30 I + I 45-30 I +

                                               I 18-30 I + I 25-30 I + I 15-30 I + I 32-30 I +

                                               I 40-30 I + I 24-30 I) /10

         = (86)/10

        =  8.6

!

The answer is the first one

(with blue and orange triangles)

Dilation makes things bigger

Answer:

c

Step-by-step explanation:

10% is equivalent to .10.

.1 *80 is 8.

you can also do it 10% is 1/10 of 100, so find 1/10 of 80, and you get the answer, 8.

Let's solve for x.

2x−9y=14

Step 1: Add 9y to both sides.

2x−9y+9y=14+9y

2x=9y+14

Step 2: Divide both sides by 2.

2x /2

= 9y+14 /2

x= 9 /2 y+7

We need to solve for x.

2x - 9y = 14

Move the 9y to the right side and use inverse operations.

2x = 14 + 9y

Divide both sides of the equation by 2.

x = 7 + 9/2y or x = 7 + 4.5y

I will attach a picture of the graph as well in case that’s what you were looking for.

Final answer:

Denise will need to pay $464.29 each month for 14 months to repay a $6500 loan and avoid any interest charge.

Explanation:

To calculate how much Denise will need to pay each month to avoid an interest charge on her $6500 loan, we simply divide the total loan amount by the number of months she has to repay the loan.

So, the monthly payment Denise needs to make is $6500 divided by 14 months:

$6500 ÷ 14 months = $464.29 per month (rounded to two decimal places).

To repay the full amount in 14 months and avoid any interest, Denise will need to pay $464.29 each month.

Answer:

y = 3x - 2

Step-by-step explanation:

(1,1) and (2,4)

Slope = (4 - 1)/(2-1) = 3, y- intercept b = -2

Equation

y = 3x - 2

Answer:

Y = 3x - 2 will be the answer.

Step-by-step explanation:

A line has been graphed in the figure attached.

It passes through two points ( 1,1) and (2,4)

Y-intercept of the given line is (-2)

Since equation of a line in the intercept form is

y = mx + c

where m = slope and c = y-intercept

and slope m =  [tex]\frac{y-y'}{x-x'}[/tex]

Therefore, slope m =  [tex]\frac{4-1}{2-1}[/tex]

                                =  [tex]\frac{3}{1}[/tex]

Therefore, equation of the given line will be y = 3x - 2

Answer:

$1,510

Step-by-step explanation:

Multiply $605 × 2 to get first and last month rent total. =$1,210

Then add $1,200 +$300(security deposit)=$1,510 total deposit to acquire the apartment

Answer:

Andi have to pay $1,510.

Step-by-step explanation:

Andi can rent a furnished apartment for = $605 per month

with a security deposit = $305

Her landlord requires first and last months' rent plus a security deposit.

Andi have to pay = first month rent + last month rent + security deposit.

= $605 + $605 + 300 = $1,510

Andi have to pay $1,510 before she can rent this apartment.

tan 45° = x/10

1 · 10 = x

10 = X

GH = 10

Answer:

The correct answer is actually 13.7

Step-by-step explanation:

I'm taking the test now

Answer:

C. an irregular concave heptagon

Explanation:

Before we begin, we should define the terms used in the choices given:

1- Heptagon: It is the polygon that has 7 sides

2- Regular heptagon: It is a 7-sided polygon in which all sides are equal and all angles are equal

3- Irregular heptagon: It is a 7-sided polygon in which neither the sides nor the angles are equal

4- Concave heptagon: It is a 7-sided polygon in which one or more of its angles are more than 180°

5- Convex heptagon: It is a 7-sided polygon in which all its angles are less than 180°

6- Complex heptagon: It is a 7-sided polygon whose dimensions are in the complex plane

Now, let's check the given diagram:

It is a 7-sided polygon, therefore, it is a heptagon

It's sides as well as its angles are not equal, therefore, it is an irregular heptagon

It has interior angles measuring more than 180°, therefore, it is a concave heptagon

Its dimensions are not in the complex plane, therefore, it is not a complex polygon

Based on the above, the best choice is:

C. an irregular concave heptagon

Hope this helps :)

A heptagon is a seven-sided polygon. Regular heptagons have all equal sides and angles, irregular convex heptagons have unequal sides but all angles less than 180 degrees, irregular concave heptagons have at least one interior angle more than 180 degrees while complex heptagons have intersecting sides.

In mathematics, a heptagon is a seven-sided polygon. A- A regular heptagon is a heptagon in which all seven sides and all seven angles are congruent, meaning they are of equal length or degree. B- An irregular convex heptagon has seven sides, but they are not all equal, however, all its interior angles are less than 180 degrees. C- An irregular concave heptagon is also an irregular heptagon, but at least one of its interior angles is more than 180 degrees. D- A complex heptagon is a heptagon with sides that intersect each other, but this is not a standard classification in geometry.

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i tried working this out but it doesnt make sense, at least the table doesnt... did you make this question up or get it off of a school assignment??

Answer: Option A; 19

Step-by-step explanation:

The data is:

We have 40 students.

16 play football

9 play basketball

4 play bot sports.

We want to find the number of students that do not play either sport, for this we should add the number of students that play football and the number of students that play basketball, subtracting the number of students that play both sports (because we sill be counting those two times, this is because those 4 students are included in the 16 for football and also in the 9 for basketball.)

N = 16 + 9 - 4 = 12 + 9 = 21

the number of students that do not play basket or football is equal to:

40 - N = 40 - 21 = 19

The correct option is A

Answer:

(9 * 140) / 15

Step-by-step explanation:

For each serving it is 140 calories, and there is 9 servings in that cereal. So you want to multiply 9 by 140. And there are 15 ounces in the box so the amount of total calories are to be divided by 15. Thus C should be the right answer.

Answer:

The length of stay at your current residence is used to determine credit scores. On most credit applications and applications in general, this question is asked to help the lender look up information about your history of payments. When a lender asks this question they are able to determine how long you typically stay in one place, and look up bills at that residence to make sure they are paid on time before giving out a loan. They can also use this information to determine a credit score based on what is being paid on time, late or not at all.

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Step-by-step explanation:

Answer: y = 6x+1/2

Step-by-step explanation: y=mx+b

b is intercept

m is slope

Answer:

y = 6x + 1/2

Step-by-step explanation:

Slope intercept form is

y=mx+b where m is the slope and b is the y intercept

y = 6x + 1/2

Answer:

A

Step-by-step explanation:

Given sinP = [tex]\frac{5}{13}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

Then the right triangle has a hypotenuse of 13 and a leg 5

Use Pythagoras' identity to find the other leg x ( adjacent)

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 , hence

tanP = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{12}[/tex]

The value of the tanP when sin is equal to 5/13  is 5/12.

We have given that,

[tex]sinP = \frac{5}{13}[/tex]

[tex]sin(\theta)=\frac{Opposite}{hypogenous}[/tex]

Then the right triangle has a hypotenuse of 13 and a leg of 5

Use Pythagoras' identity to find the other leg x ( adjacent)

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take the square root of both sides )

taking square root on both sides

[tex]x=\sqrt{144} \\x=12[/tex]

Therefore we get the value of the tanP.

[tex]tanP = \frac{opposite }{adjucent} = \frac{5}{12}[/tex]

Therefore the value of the tanP is 5/12.

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ANSWER

The area of the triangle is 6.64 square feet.

EXPLANATION

The area of the given triangle is calculated using the formula

[tex]Area = \frac{1}{2} ab \sin(C)[/tex]

where C=62° is the included angle.

a=4.7 ft and b=3.2 ft.

We plug in the values into the formula to get:

[tex]Area = \frac{1}{2} \times 4.7 \times 3.2\sin(62 \degree)[/tex]

Area=6.64 ft² to the nearest hundredth.

Answer:

[tex]r(9p+10)(p+7)[/tex]

Step-by-step explanation:

First, we can factor out an r.

[tex]9p^2r+73pr+70r \\ \\ r(9p^2+73p+70)[/tex]

Then, we can factor this out.

[tex]r(9p+10)(p+7)[/tex]