Determine the area of the yellow sector

Answer:

94.1 m²

Step-by-step explanation:

Use the sine rule to find BC

[tex]\frac{BC}{sin82}[/tex] = [tex]\frac{12}{sin40}[/tex]  ( cross- multiply )

BC × sin40° = 12 × sin82° ( divide both sides by sin40° )

BC = [tex]\frac{12sin82}{sin40}[/tex] ≈ 18.487

Area = [tex]\frac{1}{2}[/tex] × 12 × 18.487 × sin58° ≈ 94.1

Hi, hope you’re having a good day!

Could you please add the picture?

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The picture is not shown, if you could add it, I would be happy and try and answer as best I can! Have a good day! :)

Answer:

enlarge the picture 7 times by inches

To enlarge Tonya's picture by a factor of 7, the length of 4 1/5 inches is multiplied by 7 to get an enlarged length of 29 2/5 inches.

Tonya has a small picture with a length of 4 1/5 inches. To enlarge the picture by a factor of 7, we need to multiply the original length by 7. First, we convert 4 1/5 inches to an improper fraction: 4 1/5 = (4 * 5 + 1)/5 = 21/5. Next, we multiply by 7: (21/5) * 7 = 21 * 7 / 5 = 147/5 inches. To convert it to a mixed number, we divide 147 by 5 which equals 29 with a remainder of 2, leading to a mixed number of 29 2/5 inches. Thus, the enlarged picture has a length of 29 2/5 inches.

Answer:

The graph is symmetric. The mean and median are about equal in a symmetric graph. The median is shown as 109, so the mean is approximately 109.

Step-by-step explanation:

The graph is symmetric.

Because the graph is symmetric, the mean and median should be approximately equal.

According to the graph, the median is 109. Therefore, the mean is approximately 109.

Answer:

The graph above can be described as a symmetric graph.

The mean and median of the graph are nearly equivalent, creating symmetry.

Additionally:

The answer to the question after this is the 3rd option, "the average salary increased the same amount each year."

The second portion of the next question is the 2nd option, "The vertical axis does not begin at zero."

Answer:

191

Step-by-step explanation:

26 x 7= 182+9=191

Answer:71.4

Step-by-step explanation:140*51%

The answer is 71.4 because 51% =.51 and .51•140= 71.4

Answer:

(-5.5,0)

Step-by-step explanation:

The question is on finding the focus point of a parabola

Given y²= 2(x+6).....................................(a)

Compare equation (a) with the standard equation  (y-b)²= 2p(x-a)

y²= 2(x+6)------can be written as (y-0)²=2(x+6)

(y-0)²=2(x+6)

(y-b)²= 2p(x-a)

2p=2-----------------divide both sides by 2 to get p

p=2/2=1

For  the vertex (a,b)⇒(-6,0)

For  the focus point ( a+p/2, b)........................................(b)

Substitute values i equation (b) above

(-6+1/2 ,0) =(-5.5, 0)

Answer:

A

Step-by-step explanation:

Check the picture below.

Answer:

100

Step-by-step explanation:

Write the numbers in increasing order:

45, 58, 70, 100, 450, 600, 805

Now, pick the middle number.

The median is 100.

Answer:

100

Step-by-step explanation:

Set the set in order first,

45, 58, 70, 100, 450, 600, 805

Now clear each side by one step after another

45, 58, 70, 100, 450, 600, 805

     58, 70, 100, 450, 600

           70, 100, 450

                 100

Hope this helps

Answer:

It's d. 0.

Step-by-step explanation:

The log (to any base) of 1 = 0, so log8 1 = 0, and the whole expression is equal to 0:

 0 * log3 27 = 0.

The expression log8 1 * log3 27 evaluates to 0, so the equivalent expression from the options is d - 0.

The expressions we need to evaluate are log8 1 * log3 27. The log of 1, no matter what the base, is always 0. This is because any number raised to the power of 0 is 1. So, log8 1 is equal to 0. Now, evaluate log3 27. The log base 3 of 27 is 3 because 3 cubed (or 3 to the power of 3) is 27. So, log3 27 equals 3. Thus, log8 1 * log3 27 = 0 * 3 = 0. Comparing with the given options, we find that the only equivalent expression is option d - 0.

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Answer:

y = 1.6 x

y = 24

Step-by-step explanation:

The general equation of a direct variation is

y = k x

In this case

x = 10

y = 16

y = k*x

16 = 10*k

16/10 =  k

k = 1.6

y = 1.6x

================

Let x = 15

y = 1.6 * 15

y = 24

Answer:

My best guess is b. 111

Step-by-step explanation:

She first catches 54 and returns them then she catches 70 and 13 of those she had previously caught, so she only caught 57 new frogs. So within the sample time period she had caught a total of 54+57= 111 frogs.

Answer: 111

Step-by-step explanation:

she catches 54 and puts on the leg bands. The next day she catches 70 but 13 of them were from the previous day.

So, 54+70-13=111

Answer:

The correct answer option is y = -4.

Step-by-step explanation:

We are to find the equation of the mid-line for the following function:

[tex]y=3cos(x-\pi)-4[/tex]

[tex]3 cos((x - \pi ) - 4 = 3 cos(x) - 4[/tex] because [tex]cos(x-\pi) = cos(x)[/tex]

[tex]-1 \leq cos(x) \leq 1[/tex]

[tex]-3 \leq 3cos(x) \leq 3[/tex]

[tex]-3-4 \leq 3 cos(x)-4 \leq 3-4[/tex]

[tex]-7 \leq 3 cos(x)\leq-1[/tex]

The range is -7 to -1 so the midpoint is [tex]\frac{-7-1}{2} =-4[/tex]

Therefore, the equation of the mid-line for the given function is y = -4.

Factor out common terms in the first two terms, then in the last two terms

4x^2(5x - 3) + 3(5x - 3)

Factor out the common term 5x - 3

= (5x - 3)(4x^2 + 3)

Answer:

AB = 17.3 cm

Step-by-step explanation:

We require to find the measure of ∠A then use the cosine ratio to calculate AB

sum the parts of the ratio 3 + 2 = 5 parts, then

90° ÷ 5 = 18° ← value of 1 part of ratio

∠A = 2 × 18° = 36°, thus

cos36° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{AB}[/tex]

Multiply both sides by AB

AB × cos36° = 14 ( divide both sides by cos36° )

AB = [tex]\frac{14}{cos36}[/tex] ≈ 17.3 cm

A credit report is a detailed listing of your credit history.

Answer: b

A credit report is defined as; B: A credit report is a detailed listing of your credit history

A credit report is defined as a report that shows the financial credit history of an individual.

Now, the credit report shows the credit point which may be an excellent or poor credit score. Thus, when a person has a high credit score report, such a person is eligible for higher loans from the market but if such a person has a low credit score report, such a person cannot be eligible for hgher loans from the market.

Thus, we can conclude that A credit report is a detailed listing of your credit history.

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Answer:

2.150 = 2.15

2 +15/10 > 2.15

2 + 0.015 < 2.15

215/100 = 2.15

Step-by-step explanation:

2.150 = 2.15, because 2.15 can be rewritten as 2.150.

2 +15/10=2+1.5=3.5

2 +15/10 > 2.15

3.5 > 2.15

2 + 0.015 < 2.15

2.015 < 2.15

215/100 = 2.15

2.15 = 2.15

Answer:

1 =

2 >

3 i no sured but is <

4 =

Step-by-step explanation:

Answer:

1. 31/99 2. 215/999 3. 6704/9999

Answer:

31/100, 215/100, 419/1250

for b it should be 9 serving can be made

and for c it should be 1.5 Cups of orange juice

Answer:

First of all a is wrong bc you would have 148 cups of Punch you only need 108 so that will make it

B.

c.for every 4.5 cup you have 4.5 cup of OJ

Step-by-step explanation:

fix it and i can help cheif

Answer:

The answers of the proof are the following:

2. Multiplication Property of Equality

3. x-2 = 8

4. Addition Property of Equality

5. x=10, Simplifying

Answer:

Second option

Third option

Last option

Step-by-step explanation:

You have the expression [tex]3x - 12 - 2(x + 12)[/tex], you can find the following equivalent expressions:

Apply Distributive property:

[tex]3x - 12 - 2x -24[/tex]

Group the first two terms and factor out 3:

[tex]=3(x - 4) - 2x -24[/tex] (Second option)

Apply Distributive property and then add the like terms:

[tex]=3x - 12 - 2x - 24[/tex]

[tex]=x-36[/tex] (Last option)

Group the first two terms and factor out 3:

[tex]=3(x - 4) - 2(x + 12)[/tex] (Third option)

Answer:

x

2

−

4

x

−

12

Step-by-step explanation:

Answer:

In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped.

Answer:

Step-by-step explanation:

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

A parabola is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped when oriented as shown in the diagram below, but which can be in any orientation in its plane. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape.

the next two numbers in this pattern is 62,248...

Answer:

512, - 2048

Step-by-step explanation:

Note that the next term rule between consecutive terms is multiply by - 4, that is

2 × - 4 = - 8

- 8 × - 4 = 32

32 × - 4 = - 128

Continue this process to obtain the next 2 terms

- 128 × - 4 = 512

512 × - 4 = - 2048

Equation of Area of Triangle = 1/2 x b x h

Find the base by counting the boxes across the bottom.

Find the height by counting the boxes from the base (bottom) to highest point on the triangle.

Insert those numbers into the equation and you get your answer.

To find the area of a triangle on a coordinate plane, you can use the formula: Area = 1/2 * base * height. The base can be any side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex. We can calculate the lengths of the base and height by using the coordinates of the triangle's vertices.

To find the area of a triangle on a coordinate plane, we can use the formula: Area = 1/2 * base * height. The base can be any side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex. We can calculate the lengths of the base and height by using the coordinates of the triangle's vertices.

For example, if the coordinates of the vertices are (x1, y1), (x2, y2), and (x3, y3), we can find the length of the base by calculating the distance between (x1, y1) and (x2, y2). Then, we can find the height by calculating the distance between (x3, y3) and the line containing the base. Finally, we substitute the values of the base and height into the formula to find the area.

Suppose the coordinates of the triangle are (1, 2), (4, 6), and (7, 2). We can find the base and height as follows:

Now, substitute the values into the formula: Area = 1/2 * base * height = 1/2 * 5 * 2 = 5 units^2. Therefore, the area of the triangle is 5 square units.

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For this case, we must find the value of "x" so that the given expression is equal to 8.

That is to say:

[tex](\sqrt [5] {8 ^ 3}) ^ x = 8[/tex]

We apply "ln" to both sides of the equation to remove the exponent variable:

[tex]ln ((\sqrt [5] {8 ^ 3}) ^ x) = ln (8)\\xln (\sqrt [5] {8 ^ 3}) = ln (8)\\xln (\sqrt [5] {512}) = ln (8)[/tex]

We rewrite 512 as:

[tex]512 = 32 * 16 = 2 ^ 5 * 16\\xln (\sqrt [5] {2 ^ 5 * 16}) = ln (8)[/tex]

By definition of power properties we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So:

[tex]xln (2 \sqrt [5] {16}) = ln (8)[/tex]

We clear x:

[tex]x = \frac {ln (8)} {ln (2 \sqrt [5] {16})}[/tex]

In decimal form, [tex]x = 1.6[/tex] periodic number

ANswer:

[tex]x = \frac {ln (8)} {ln (2 \sqrt [5] {16})}\\x = 1.6\ periodic\ number[/tex]

Answer:

A. 10 fluid ounces

Step-by-step explanation:

One fluid ounce is equal to one quart. This means she had 64 fluid ounces in her jug. She poured 6 3/4 fluid ounces in 8 mugs, so you would multiply 6 3/4 by 8 to get 54. Now you go back to the original amount, 64, and subtract 54 from that. 64 minus 54 equals 10. I hope this helped!

Answer:

4.4721

Step-by-step explanation:

Answer: 8 hours

Step-by-step explanation: If a frog can jump 1/4 fourth a mile every hour then it will take 4 hours to complete a mile. But because we are talking a bout 2 miles, you have to double the time. Therefore, the answer is 8 hours

It would be one hour every quarter of the mile so count the hours by the amount of numbers there are in one mile so it would be 8 hours

Answer:she would have at least gotten a 75 to pass.

Step-by-step explanation:76+82+71+75=304

304÷4= a solid 76%

Answer:

118°

Step-by-step explanation:

Since it is an isosceles triangle, two angles must be the same.

Also angles in a triangle add up to 180° and from this we can deduce that

x + ( 31 + 31 ) = 180

( Simplify )

x + 62 = 180

( - 62 from both sides )

x = 118°