Find the radius of the circle, if the big square is 30 square units more than the area of the small square.

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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Answer:

Unemployment rate = 5.3%

Step-by-step explanation:

8000/150000 = 0.053

Convert to percentage:

0.053*100 = 5.3%

Total amount paid by Donna is $16,689.6 and interest paid is $789.6.

The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.

According to question:

Given,

Price of car= $15,900

Down Payment=$4800

number of months=12 x 4=48 month

Monthly payment=$245.70

Total amount Donna paid = Down payment+ all monthly installment

Total amount = $4800+ 48 x 247.70 =$16,689.6

Interest Paid = $16,689.6 - $15,900 = $789.6

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Answer:

V≈1150.35cm³

Step-by-step explanation:

Using the formulas

V=4 /3πr3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·13^3≈1150.34651cm³

a) Probability of student passed in English and Accounting [tex]= \frac{21}{50}[/tex]

b)  Probability of  Number of Student passed Accounting [tex]=\frac{3}{5}[/tex]

c)  Given that student passed Accounting. Probability that they passed English = [tex]\frac{9}{125}[/tex]

The ratio of favorable outcomes to all possible outcomes of an event is known as the probability.

Here let us assume the Total Number of students is 100.

Students who passes in English = 60% of total number of students  

                                                   =  [tex]60*100/100=60[/tex]

Students who passes in English = 60.

Out of 60 students , 70% of 60 pass in Accounting = [tex]70/100*60=42[/tex]

So Student who passed in both English and Accounting = 42.

Also Number of student that do not passed in English = 100 - 60 = 40.

Out of these 40 students , 45% passes in Accounting = [tex]45/100*40=18[/tex]

So Number of student pass in Accounting but not in English = 18.

Total Number of student pass in Accounting = 42 + 18 = 60.

A) Number of student passed in English and Accounting = 42

   Total Number of student = 100

   Probability of student passed in English and Accounting= [tex]\frac{42}{100} = \frac{21}{50}[/tex]

B) Total Number of Student passed Accounting = 60

    Total Number of student = 100

    Probability of  Number of Student passed Accounting = [tex]\frac{60}{100} = \frac{3}{5}[/tex]

C) Probability that student passed Accounting = 60/100.

    Probability that student passed English = 60/100.

Given that student passed Accounting. Probability that they passed

 English = [tex]\frac{60}{100} * \frac{60}{100} = \frac{3600}{10000} = \frac{9}{125}[/tex]

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The unknown angle of the triangle is as follows:

∠BCE =  65 degrees

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the angle ∠BCE can be found as follows:

∠BAC = 70 degrees

∠ABC = 60 degrees

∠ACB = 180 - 70 - 60

∠ACB = 180 - 130

∠ACB = 50 degrees

Hence, using exterior angle theorem,

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

∠BCD = 60 + 70 = 130 degrees

Hence,

∠BCE = 130 / 2 = 65 degrees

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Answer:

Answer:

3:15 p.m.

Step-by-step explanation:

45 minutes past 2:30 p.m. is 3:15 p.m.

2:30 p.m. to 3:00 p.m. is 30 minutes

3:00 p.m. to 3:15 p.m. is 15 minutes

30+15 = 45 minutes

Answer:

She will be at cheerleading practice at 3:15 pm?

Step-by-step explanation:

Fake college smh

Answer:

box 2 and 3

Step-by-step explanation:

the rays are the only two that form the angle of 1

Solution:

Let (1,8)=(x1,y1)

(-1,-2)=(x2,y2)

D=?

Now,

D=

[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1)} ^{2} [/tex]

or, D=

[tex] \sqrt{( -1 - 1) ^{2} + ( - 2 - 8) ^{2} } [/tex]

[tex] \sqrt{( -2) ^{2} + ( - 10) ^{2} } [/tex]

[tex] \sqrt{4 + 100 } [/tex]

[tex] \sqrt{104} [/tex]

2[tex] \sqrt{26} [/tex]

Answer:

6

Step-by-step explanation:

The straight line (at the bottom) measures a total of 180 degrees. So we can write an equation where the sum of all of the angles = 180:

180 = 5x + x + 54 + 90

90 comes from the square indicating a right angle.

Using that equation, solve for x.

180 = 5x + x + 54 + 90

First, combine like terms.

180 = 6x + 144

Then subtract 144 from both sides

36 = 6x

Divide both sides by 6 to isolate x

6 = x

So x = 6°

Answer: 128 ounces

Step-by-step explanation:

One ounce has a mass of 16 and 16 x 8 is 128

Answer:

there is a 36% percent chance

Step-by-step explanation:

28/76 = 36/100 to get the probability.

Answer: 7/19

Step-by-step explanation: You must realize that 28/76 is the probability of randomly selecting a rock CD out of his Cd collection since 28 of the 76 are rock. However, the question asks you to simplify this fraction. Both the numerator and the denominator are divisible by 4, so the simplified answer is a 7/19 probability.

On solving the provided question we can say that from data provided by the graph, we have a straight line, which means that the coordinates are equal. so the equation will be x = y = > x-y = 0

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.

from data provided by the graphs,

we have a straight line,

which means that the coordinates are equal.

so the equation will be x = y

x-y = 0

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The value of the Angle A is  74.3°.

The longest side is in opposition to the longest angle, and the shortest side is in opposition to the smallest angle, respectively.

The opposite of the longest side is the greatest angle, while the opposite of the shortest side is the smallest angle. According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side.

The comparable sides are proportionate and the angles are same. The sides that are opposite the same angle are the corresponding sides. For instance, if two triangles have a 90-degree angle on each side, Triangle A's opposing side will match Triangle B's opposite side.

AB/sin(c)=AC/sin(a)=BC/sin(b)

8/sin(a)=5/Sin37°

Angle= 74.3°.

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Answer:

1.40

Step-by-step explanation:

Given that

the number of customers are 130

The variance is 256

And, the sample mean is $21.50

We need to find out the standard error

So , the standard deviation is

= sqrt(variance)

= sqrt(256)

= 16

As we know that

standard error of mean = standard deviation ÷ sqrt(n)

= 16 ÷ sqrt(130)

= 1.40

Answer:

Total cost for team: $1285.05

Step-by-step explanation:

45.95 + 23.95 + 28.95 = 98.85

98.85 * 13 = 1285.05

Answer:

(x-c) is a factor of f(x)

Answer:

It should be 2.016 m cubed

Step-by-step explanation:

the formula is V= 1/3 ( l × w × h ) if you want to check

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

[tex]\sqrt{253}[/tex]

Step-by-step explanation:

The question asks to use the Pythagorean Theorem...

which is [tex]a^{2} + b^2 = c^2[/tex]

1. Note that c is always the hypotnuse (the longest side of the triangle)

2. Note that a and b represent both legs of the triangle

3. Find b using pythagorean theorem (x = b)

[tex]6^2 + b^2 = 17^2\\36 + b^2 = 289\\b^2 = 253\\b=\sqrt{253} \\[/tex]

Since b is the missing side x, then [tex]x = \sqrt{253}[/tex]

shue isvsye jrue si buabs ikwgeh oshe

The answer to this is A. I hope this helps

The angle of elevation from the person to the birds nest is 29^o.

When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.

From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.

So, to determine the measure of the required angle of elevation of the bird's nest, we have;

Tan θ = opposite/ adjacent

Tan θ = 10/18

         = 0.5556

θ = Tan^-1 0.5556

  = 29.05

θ = 29^o

Thus, the angle of elevation from the person to the bird's nest is 29^o.

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Answer:

20, 11

Step-by-step explanation:

x=first Number

x-9=second number

above two added together=31 or

x+(x-9)=31

2x=40

x=20 first number

x-9=second number

20-9=11 second number

20 (first number) + 11 (second number)=31

31=31

Answer:

62.5

Step-by-step explanation:

You would take 62.5% and 45, using long multiplication to get .625

You would then multiply .625 and 100, getting 62.5