TA and TB are tangents to O.
OA = 4 and ∠ ATB = 69°.
Find each of the following.

10). ∠ OAT
11). ∠ OTA
12). ∠ AT
13). ∠ BT

Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

The expression (9v⁴ + 2) + v²(v²w² + 2w³ - 2v²) - (- 13v²w³ + 7v⁴) is equivalent to v⁴w² + 15v²w³ + 2. Then the correct option is A.

The equivalent is the polynomial expressions that are in different forms but is equal to the same value.

The polynomial expression is given below.

(9v⁴ + 2) + v²(v²w² + 2w³ - 2v²) - (- 13v²w³ + 7v⁴)

By simplifying the polynomial expression, we have

(9v⁴ + 2) + (v⁴w² + 2v²w³ - 2v⁴) - (- 13v²w³ + 7v⁴)

9v⁴ - 2v⁴ - 7v⁴ + v⁴w² + 2v²w³ + 13v²w³ + 2

v⁴w² + 15v²w³ + 2

Thus, the correct option is A.

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Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

Answer:

1. -5a

Step-by-step explanation:

The definition of combining like terms is adding their coefficients, for example: 2x + 3x = (2+3)x = 5x.

So for this one, -21a+16a = (-21+16)a = -5a.

Answer:

As Per Given Information

Diameter of of baseball = 74 mm

We've been asked to find the volume of baseball .

As we know

Radius = Diameter/2

Radius = 74/2

Radius = 37 mm ( 1 mm = 0.1 cm)

Radius = 37/10 cm

Radius = 3.7 cm

Now let's calculate the volume of baseball

volume of baseball = 4/3 πr³

Put the given value we obtain

→ volume of baseball = 4/3 × 3.14 × (3.7)³

→ volume of baseball = 4/3 × 3.14 × 50.653

→ volume of baseball = 4/3 × 159.05042

→ volume of baseball = 636.20168/3

→ volume of baseball = 212.06

→ volume of baseball = 212 cm³ ( approx)

So, the volume of baseball is 212 cm³.

Solution:

We know that:

\(V_{Baseball} = \frac{4}{3} \pi r^{3} \\ \\ Diameter = 74 \space\ mm\\\\Radius = \frac{Diameter}{2}\)

Finding the area of the baseball:

\(V_{Baseball} = (\frac{4}{3})( \pi )(r^{3})\)

\(V_{Baseball} = [\frac{4}{3}][ 3.14 ][(\frac{74}{2}) ^{3}]\)

\(V_{Baseball} = [\frac{4}{3}][ 3.14 ][(37) ^{3}]\)

\(V_{Baseball} = [\frac{4}{3}][ 3.14 ][50653}]\)

\(V_{Baseball} = 212067.227 \space\ mm^{3} \space\ (Using\ calculator)\)

Rounding the volume to the nearest tenth:

\(V_{Baseball} = 212067.227 \space\ mm^{3} = 212067.2 \space\ mm^{3}\)

Thus, 212067.2 mm³ is the volume of the baseball.

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

hope this help

but this is little info dont worry i will answer your question just in a minute

Step-by-step explanation:

Answer:

Step-by-step explanation:

The angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.

  180° -x° = (60° +80°)/2

  180 -70 = x . . . . . . . . . . . divide by °, add x-70

  x = 110

__

The external angle where secants meet is half the difference of the intercepted arcs.

  59° = (180° -y°)/2

  118 = 180 -y . . . . . . . multiply by 2, divide by °

  y = 180 -118 . . . . . add y-118

  y = 62

Answer:

the average homeowner would pay $321.10 annually to run appliances and refrigeration.

Step-by-step explanation:

Given:

Average home uses 13,000 kWh of electricity per year.

Appliances and refrigeration account for 13% of total usage.

Electricity costs $0.19 per kWh in a particular area.

To find the cost of running appliances and refrigeration per year:

Step 1: Calculate the amount of electricity used by appliances and refrigeration.

The percentage of electricity used by appliances and refrigeration is 13%, so we can calculate the amount of electricity used by multiplying the total electricity usage by 0.13:

Appliances and refrigeration usage = 13,000 kWh x 0.13 = 1,690 kWh

Step 2: Calculate the cost of electricity for the amount used by appliances and refrigeration.

The cost of electricity per kWh is $0.19, so we can calculate the cost of running appliances and refrigeration by multiplying the electricity usage by the cost per kWh:

Cost of running appliances and refrigeration = 1,690 kWh x $0.19/kWh = $321.10

Therefore, the average homeowner would pay $321.10 annually to run appliances and refrigeration.

Answer:

3) a translation followed by a reflection

Step-by-step explanation:

First, to get to A'B'C'D', we can see that A is still on top, D is on the right, etc. -- everything is just shifted up and to the right. This signifies a translation as it is simply a shift.

Next, to get to A''B''C''D'', we can see that A'' is now on the right. If this would be a rotation from A'B'C'D', we can visualize it as the shape rotating to the right. B'' would then be on top as it is to the left of A' in A'B'C'D', so if B' would be rotated to the right, it would then go to the top of A''. However, B'' is in the bottom, and D'' is on the top, signifying a flip of what the rotation would be. As this is not a simple shift, the only option left is a reflection.

Answer:

it's A

Step-by-step explanation:

Answer:

C. $2.04

Step-by-step explanation:

Because we see that 5.2 pounds is $5.29, roughly around 5.2, we can infer that 2 pounds of rice would equal just a little bit over $2, and the only logical answer would be $2.04.

Hope this helps you have a good day!

Answer:

need more info like how many snakes there our

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

the first one is  x=20. the second one is x=31.33 cm.

Step-by-step explanation:

1. x=20

2. x=31.33 cm

Hope this helps!!! :)

Answer:

10m×1.5m=15m squared total area of the wall

15×100=1500

1500÷200=7.5 bricks would be needed for that wall.

The ratios between the lengths of the two legs of a 30-60-90 triangle is (d) 1 : √3

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

A 30-60-90 triangle

In this type of triangle, we have

Ratio of two legs = tan(30 degrees) or

Ratio of two legs = tan(60 degrees)

Using the above as a guide, we have the following:

Ratio of two legs = 1/√3 or √3

From the list of options, we have

Options (d) 1 : √3

Hence, the only option that matches this ratio is (d) 1 : √3

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If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.

If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.

Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.

The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.

To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:

P(drawing two green cards) = 1 x 12/51

Simplifying this expression, we get:

P(drawing two green cards) = 12/51

Therefore, the probability of drawing two green cards is approximately 0.235.

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Consider Set X & Set Y are related in a manner that all the elements of Set X are related to exactly one element of Set Y (or many elements of set X are related to one element of Set Y). Thus, this type of relation is said to be a function.

Relation: A relation is defined as a group of ordered pairs that each contain an item from a different set. If "a" is an object from set X and "b" is an object from set Y, for example, we can say that the objects are related to one another if the order pairs (a, b) are related.

Functions: A function is a relation that describes a set of inputs and a set of outputs. Each input in set X of the function has precisely one output in set Y.

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Answer:

Step-by-step explanation:

6x-8y=12

5x+8y=-1

add them

11x=11

x=1

y=-3/4

Answer:

(1,-3/4)

Step-by-step explanation:

Luckily, y is already opposites, so it should be easier:

6x-8y=12

5x+8y=-1    

Combine; This should end up with y eliminated -

11x = 11

x = 1

Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.

5(1) +8y = -1

5+8y=-1

8y=-6

y=-6/8 (you can simplify)

The point at which the lines intersect is (1,-3/4)

Answer:

Mean: 12 Mode: 15

Step-by-step explanation:

Mean: 6+15+15+13+14+12+9=84/7=12 The mean is all of the numbers added together and then divided by how many number there are

Mode: 6, 9, 12, 13, 14, 15, 15.  The mode is the number that appears most often.

Answer:

3

Step-by-step explanation:

Volume of a cone

V = pi x r^2 x h/3

So plug in the values we have

30pi = pi x r^2 x 10/3

30 = r^2 10/3

9 = r^2

3 = r

The equation of the circle is x² + y² - 41 =0.

A circle is a round-shaped 2-dimensional geometrical figure in which the points on the boundary are equidistant from a fixed point called a center.

Given, a circle centered at O(0,0)and has a point B (4,5) on its circumference.

The radius of the circle is the distance between the points O(0,0) and B (4,5), therefore,

r = √((4-0)² + (5-0)²)

r = √(16+25)

r = √41

The equation of a circle, centered at the origin with a radius of r =√41  units, is given by,

x² + y² = √41²

x² + y² = 41

x² + y² - 41 =0

Hence, the equation of the circle is x² + y² - 41 =0.

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Answer: \(9.38\times10^{33}\)

Step-by-step explanation:

Given: Molecules in a liter of water = \(3.35\cdot10^{25}\)

A certain river discharges about \(2.8\cdot10^8\) liter of water every second.

Molecules in river = \(3.35\cdot10^{25}\times2.8\cdot10^8\)

\(=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}\)

Hence, there are \(9.38\times10^{33}\) does the molecules in river per second.

The displacement is represented from the starting position to the final position.

Your information is incomplete. Therefore, an overview of displacement will be given. It should be noted that displacement simply means a vector whose length is the shortest distance from the initial position to the final position.

In this case, the displacement will be:

= Final position - Initial position

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Answer:

6s

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

A. The total value of the loan with quarterly compounded interest is $52,400.

B. The total value of the loan with monthly compounded interest is $52,010.04

Part A: Total value of the loan with the quarterly compounded interest

To find the total value of the loan, we'll use the formula for compound interest:

A = P * (1 + r/n)^(nt)

Where:

A = final amount (loan + interest)

P = principal amount (initial loan) = $20,000

r = interest rate = 7% = 0.07

n = number of times compounded per year = 4 (quarterly)

t = number of years = 10

Plugging in the values, we get:

A = $20,000 * (1 + 0.07/4)^(4 * 10)

A = $20,000 * (1.0175)^40

A = $20,000 * 2.620075

A = $52,401.51

Rounding to the nearest hundred, the total value of the loan with quarterly compounded interest is $52,400.

Part B: Total value of the loan with the monthly compounded interest

To find the total value of the loan with monthly compounded interest, we'll use the same formula with a different value of n:

A = P * (1 + r/n)^(nt)

Where:

n = number of times compounded per year = 12 (monthly)

Plugging in the values, we get:

A = $20,000 * (1 + 0.07/12)^(12 * 10)

A = $20,000 * (1.005833)^120

A = $20,000 * 2.600502

A = $52,010.04

Rounding to the nearest hundredth, the total value of the loan with monthly compounded interest is $52,010.04

The difference between the two loans is $52,401.51 - $52,010.04 = $391.47

The difference between the two loans is due to the higher frequency of compounding in the monthly compounded interest loan. The interest is compounded more times per year, so the interest is accumulating on the interest more quickly, leading to a higher overall interest charge.

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Answer:

answer is 4 im pretty sure

Step-by-step explanation:

did da math