Which Part of the Angle is the Vertex?

Answer:

17 cm²

Step-by-step explanation:

First I cut this figure into 2 rectangles. One big and small one. (the big one is on top of the small rectangle).

For the big rectangle, I multiplied its length by its width.

The area of the big rectangle: 3cm * 5cm = 15cm²

For the smaller rectangle, I also multiplied its length and width.

The area of the small rectangle: 1cm * 2 cm = 2cm²

Add up its areas: 15+2

To get 17cm² as your final answer

Answer:

The area of the surface of the water is approximately 254 square inches.

Step-by-step explanation:

When the bowl of the birdbath is full, the top surface area of the water is equal to the area of the circumference that contours the bowl, therefore in order to calculate its area we need to apply the following formula:

[tex]area = \pi*r^2\\r = \frac{d}{2} = \frac{18}{2} = 9 \text{ in}\\area = 3.14159*(9)^2 = 254.46879 \text{ in}^2[/tex]

The area of the surface of the water is approximately 254 square inches.

Answer:

Simplify the expression using the rules of exponents.

9d^8

Step-by-step explanation:

answer is 9d^8

Using sampling concepts, the representative sample is given as follows:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the population is all seventh graders, hence the sample has to be representative of all seventh graders. Thus the correct option is:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

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Answer:

10 miles

Step-by-step explanation:

Given: Bike goes 8 miles south and then 6 miles east

To find: distance between the final point and the starting point

Solution:

Pythagoras Theorem

In a right angled triangle, square of hypotenuse is equal to the sum of squares of the two sides.

In ΔOAB,

[tex]OB^2=OA^2+AB^2[/tex]

Put [tex]OA=8\,,\,AB=6[/tex]

[tex]OB^2=8^2+6^2=64+36=100[/tex]

Take square root on both sides.

[tex]OB=\sqrt{100}=10\,\,miles[/tex]

So, distance between the final point and the starting point is 10 miles

Answer:

10 miles

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

The measure of the arc QR⏜ intercepted by the inscribed ∠QPR is given.

According to the Inscribed Angle Theorem, the measure of the inscribed angle is equal to one-half the measure of the arc.

m∠QPR=12mQR⏜

Substitute 60° for mQR⏜.

m∠QPR=12(60°)

Simplify.

m∠QPR=30°

The figure shows the same circle as in the beginning of the task. Triangle P R S is highlighted in red. Angle S P R measures 30 degrees.

It is given that m∠SRP=30°. Use the Triangle Sum Theorem to find the measure of the unknown ∠PSR.

m∠SRP+m∠SPR+m∠PSR=180°

Substitute the known values.

30°+30°+m∠PSR=180°

Simplify.

60°+m∠PSR=180°

Subtract 60° from both sides.

m∠PSR=120°

Therefore, m∠PSR=120°.

7a-9=12

Add 9 to both sides:

7a= 21

Divide both sides by7

A= 3

Answer:

The value of a is 3.

Step-by-step explanation:

First, you have to add 9 to both sides to eliminate -9 on the left side :

[tex]7a - 9 = 12[/tex]

[tex]7a - 9 + 9 = 12 + 9[/tex]

[tex]7a = 21[/tex]

In order, to find a, you have to divide it by 7 :

[tex]a = 21 \div 7[/tex]

[tex]a = 3[/tex]

Answer:

2m +n​

Step-by-step explanation:

3m + 2n - (m + n)​

Distribute the minus sign

3m + 2n - m - n

Combine like terms

3m -m   +2n -n

2m +n​

Answer:

The ratio is 29:30

Step-by-step explanation:

First, we need to calculate the mass of sugar in the mix

That would be 100-41-29 = 100-70 = 30g

So the ratio of blackberry to sugar would be mass of the blackberry : mass of sugar

From the question, mass of blackberry = 29g while the mass of sugar = 30g

Mass of blackberry to mass of sugar = 29:30

Answer:

4x-6

Step-by-step explanation:

x+x+10+2x-16​

Combine like terms

x+x+2x     +10-16

4x   -6

4x-6

Answer:

[tex]4x - 6[/tex]

Step-by-step explanation:

[tex]x + x + 10 + 2x - 16[/tex]

combine like terms

[tex]x + x + 2x + 10 - 16 \\ 2x + 2x - 6 \\ = 4x - 6[/tex]

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Answer:

Just put the values of x and y

x = 1

y = -2

2x – y = p

2(1) - (- 2) = p

p = 4

Answer:

The value of p is 4.

Step-by-step explanation:

In order to find p, you have to substitute the value of x and y into the linear equation :

[tex]2x - y = p[/tex]

[tex]let \: x = 1 \\ let \: y = - 2[/tex]

[tex]2(1) - ( - 2) = p[/tex]

[tex]2 + 2 = p[/tex]

[tex]p = 4[/tex]

Answer:

One solution was found :

                  x = 18

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Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/12-(6/x)=0

Step by step solution :

Step  1  :

           6

Simplify   —

           x

Equation at the end of step  1  :

  4    6

 —— -  —  = 0

 12    x

Step  2  :

           1

Simplify   —

           3

Equation at the end of step  2  :

 1    6

 — -  —  = 0

 3    x

Answer:

y = 5x+18

Step-by-step explanation:

y - 3 = 5(x + 3)

Distribute

y -3 = 5x+15

Add 3 to each side

y - 3+3 = 5x + 15 +3

y = 5x+18

This is slope intercept form (y = mx+b) where m is the slope and b is the y intercept

Answer:

Piano, guitars, drum set, and voices

Step-by-step explanation:

the answer is 94 bears reponded and 92 did not II thnk

Answer:

$2800

Step-by-step explanation:

First divide $4800 by 3 which will give you $1600 which is the price for 2 cars and 1 truck.

= [tex]\frac{4800}{3} = $1600[/tex]

Next, subtract the $1600, which is the price of 2 cars and 1 truck  from $4600, which is the price of 8 cars and 1 truck giving you the price of 6 cars.

$4600 - $1600 = $3000

Now divide the $3000, the price of six cars, by three to get the price of 2 cars.

[tex]\frac{3000}{3} = $1000[/tex]

Lastly, multiply the $1000 by 2 to get the price of 4 cars. Then subtract this $2000, the price of 4 cars from the $4800, the price of 6 cars and three trucks to give you the price of 2 cars and 3 trucks.

$4800 - $1000 = $2800

two million four hundred seventy thousand

Answer:

Step-by-step explanation:

Let x be the random variable representing the mean weight of Adult Golden Retrievers. Assuming the weights are normally distributed(number of samples is greater than 30), we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 64

σ = 8

n = 35

the probability that the sample mean will be less than 65.5 pounds is expressed as

P(x < 65.5)

For x = 65.5,

z = (65.5 - 64)/(8/√35) = 1.11

Looking at the normal distribution table, the probability corresponding to the z score is 0.8665

Therefore, the probability that the sample mean will be less than 65.5 pounds is 0.8665

Answer: 37.68 feet.

Step-by-step explanation:

To find the diameter of a circle, use the equation:

C = 2 * pi * r, where r is the radius of the circle.

The diameter is 12 feet, and the radius is 6 feet.

C = 12 * pi

C = 37.68 feet.

Answer:

9:29 PM

Step-by-step explanation:

Let us add the number of minutes the first act, interval and second act lasted:

46 + 20 + 53 = 119 minutes

Converting this to hours and minutes:

60 minutes = 1 hour

119 minutes = 1 hour 59 minutes

Therefore, the time that the second act ends is:

  H       M

  7   :   30 PM

+ 1    :  59  

  9   :   29

The second act will end by 9:29 PM

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]1/3(2x-8)=4[/tex]

[tex]2/3x-8/3=4[/tex]

[tex]2/3x=4+8/3[/tex]

[tex]2/3x=20/3[/tex]

[tex]x=20/3 \times3/2[/tex]

[tex]x=60/6[/tex]

[tex]x=10[/tex]

Answer:

10

please see the attached picture for full solution

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Good luck on your assignment

Answer: 25 hours

Step-by-step explanation:

Let r = rate, t = time

From 1st sentence,

5r x 12 = 3

60r = 3

r = 3/60 = 1/20

From the next,

4r x t = 5

4 x 1/20 x t = 5

4/20t = 5 = 25

people. Houses Hours

5. 3 12

4. 5. ?

Cross multiply and get the reciprocal

4*3/5*5/12

12/25 *1/12

= 25

Answer:

MN is not congruent to QR

Step-by-step explanation:

If you look at the way the triangles are written, you have, MNO, and PQR. These should be written in the same order if they are congruent. Therefore, MN corresponds to PQ as they are both the first two, and likewise, QR corresponds with NO

Answer: 1/6

Step-by-step explanation:

Two fair dice is rolled once,

To win sum of the two dice should equal 10 or more

To get a sum equal 10 or more,

The total possible outcome when two dice is rolled once = 6^2 = 36

Sample space is attached below

Total required outcome to win (probability of having a sum of 10 or more)

n(sum of 10 or more) = 6

Therefore, probability of winning equals :

P(winning) = (Total required outcome / Total possible outcomes)

P(winning) = n(sum of 10 or more) / total possible outcomes

P(winning) = 6/36 = 1/6

Answer:

x,y =  ( 3 17/21  ,  10/21)

Step-by-step explanation:

Painting the room = 1    whole job

Morgan rate =   1/10

Sophia rate  =  1/4

Rate x time = 1    job

1/10 x   + 1/4 y  = 1/2      and

1/10 y  +  1/4 x  = 1          solve for x,y

Multiply the top equation by - 2.5

(-2.5)/10 x   - (2.5/4) y = -1.25    

-1/4 x  - 5/8 y =  -1 .25

 and add to the second equation to get

1/10 y  - 5/8 y = -.25    solve for y

4/40 y - 25/40 y = -.25

-21/40 y = - .25

y =  10/21  hr                           Substitute this into one of the original equations to find 'x'

1/10  (10/21) + 1/4 x = 1

1/21 + 1/4 x = 1

1/4 x = 20/21

x = 80/21                                         x,y =  ( 3 17/21  ,  10/21)

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Answer:

y=(4d-8)/(3-c)

Step-by-step explanation:

Answer:

1/455

Step-by-step explanation:

place 222 over 101010 and divide

Answer:

1/45

Step-by-step explanation:

Step-by-step explanation

Answer:

a = -3

b = 5

Step-by-step explanation:

[tex]\frac{10-\sqrt{18}}{\sqrt{2}}[/tex]

Simplify the square root of 18.

[tex]\frac{10-3\sqrt{2}}{\sqrt{2}}[/tex]

Rationalize the fraction.

[tex]\frac{\left(10-3\sqrt{2}\right)\sqrt{2}}{\sqrt{2}\sqrt{2}}[/tex]

[tex]\frac{2\left(5\sqrt{2}-3\right)}{2}[/tex]

[tex]5\sqrt{2}-3[/tex]

Rewrite the answer in the form a+b√2.

[tex]-3 + 5\sqrt{2}[/tex]

The given form of expression a + b √2 where a and b are integers then the values of a and b are -3 and 5.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

[tex]\frac{10 -\sqrt18} {\sqrt 2}= a + b \sqrt 2[/tex]

Simplify the square root of 18 then Rationalize the fraction,

[tex]\\\frac{10 -3\sqrt2} {\sqrt 2}\\\\\frac{(10 -3\sqrt2) \times \sqrt{2} } {\sqrt 2 \sqrt 2}\\\\\frac{ 2(5\sqrt2 -3) } { 2}\\\\(5\sqrt2 -3)[/tex]

Thus, the values of a and b are -3 and 5.

Learn more about factors;

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