Pythagorean theorem!! If you have a leg that is 10in long and the hypotenuse is 26in long, what is the length of the other leg?

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°.

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:

Piano, guitars, drum set, and voices

Step-by-step explanation:

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:

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:

[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

hope it helps

Good luck on your assignment

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:

20+r +r = 256

Step-by-step explanation:

Let r = rabbits

c = chickens

c = 20 +r  since there are 20 more chickens than rabbits

Together there are 256

c+r = 256

Replacing c with 20+r

20+r +r = 256

Answer:

The answer to your question is the first option.

Step-by-step explanation:

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:

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: 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:

The variable, the number of golf balls, is modeled by an orange x tile.

Finding 8 more golf balls is modeled by 8 orange + tiles.

The expression that represents the situation is x + 8.

Answer:

x-1 tile

Step-by-step explanation: trust me

Answer:

Simplify the expression using the rules of exponents.

9d^8

Step-by-step explanation:

answer is 9d^8

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:

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:

-7

Step-by-step explanation:

The equation is simplified so there are two possible answers here, -4 and -7

There is a root where y = 0 and x = a number

At -4 and -7 y = 0

However at -4 the function bounces since the (x+4) is raised to the 6th power.

When you have an even power, the function bounces at the x-axis, and when you have an odd power the function goes through the x-axis.

Since you can only choose one answer, the logical answer would be -7.

At x = -7, y = 0 and the function crosses the x-axis.

At x = -4, y = 0 but the function bounces on the x-axis.

The logical answer here is -7.

The graph crosses the x-axis at x = -7

The roots of a function are the zeros of the function

The function of the graph is given as:

[tex]f(x) =(x+4)^6(x+7)^5[/tex]

In the above equation, the roots of the functions and their corresponding multiplicities are:

The graph will cross the x-axis, when the multiplicity is odd

The root, -7 has an odd multiplicity.

Hence, the graph crosses the x-axis at x = -7

Read more about roots and multiplicities at:

https://brainly.com/question/2833285

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:

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:

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:

$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

Answer:

6

Step-by-step explanation:

It takes 6 hours to reach -18°C. Therefore, option A is the correct answer.

Given that, the temperature at noon=-3°C, every hour temperature decreased by -2.5°C.

Multiplying Decimals has the same procedure as that of multiplication of the whole numbers, except for the placement of the decimal point in the product.

Now, every hour temperature decreases by -2.5°C, we need to find how many hours it takes to -18°C.

So,  -2.5×6=-15°C

Then, final temperature=initial temperature+increased temperature.

=-3°C+(-15°C)=-18°C

Therefore, option A is the correct answer.

To learn more about the integers visit:

https://brainly.com/question/15276410.

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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:

10 & 4

Step-by-step explanation:

Let the numbers are a and b.

Their average = 7

= > ( a + b ) / 2 = 7

= > a + b = 2 * 7 = 14 ...( 1 )

Also,

= > 3 times of difference between a and b = 18

= > 3( a - b ) = 18

= > a - b = 6 ... ( 2 )

adding ( 1 ) & ( 2 ) :

= > ( a + b ) + ( a - b ) = 14 + 6

= > 2a = 20

= > a = 10

Thus,

= > a + b = 14 → 10 + b = 14

= > b = 14 - 10 = 4

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

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

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