A pair of adjacent angles that form a straight line

Answer:

13 newtons

Step-by-step explanation:

21 N force will the same object exert if it accelerates at a rate of 7 m/s².

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to define force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given:

F =  15N

a= 3 m/s²

Now, Force = mass x acceleration

15 = mass x 3

mass = 5Kg

Now, the acceleration is 7 m/s²

F = m x a

F = 3 x 7

F = 21 N

Hence, the force exerted is 21 N.

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Answer:

3

√

2

Explanation:

First put change the words into an equation:

√

3

×

√

6

Now you can multiply them together as you would normally multiply:

√

3

×

√

6

=

√

18

Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:

18

/ \

6

3

/ \

2

3

As you can see, we have a square:

3

×

3

=

9

So take

√

9

out of

√

18

. You should have:

√

9

√

2

But since

√

9

=

3

we can simplify further to make:

√

9

√

2

→

3

√

2

Step-by-step explanation:

Answer:

-13, 11, 19

Step-by-step explanation:

You will plug in the numbers for x in each equation so you will have three equations:

1. 8(-1)-5

2. 8(2)-5

3. 8(3)-5

Solve these equations and you will get

1. -13

2. 11

3. 19

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2266 = 22.66% probability that the sample mean is greater than 63.

b) 0.1587 = 15.87% probability that the sample mean is less than 56.

c) 0.6147 = 61.47% probability that the sample mean is between 56 and 63.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 63, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{63 - 60}{4}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a p-value of 0.7734.

1 - 0.7734 = 0.2266

0.2266 = 22.66% probability that the sample mean is greater than 63.

Item b:

This probability is the p-value of Z when X = 56, so:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56 - 60}{4}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.1587 = 15.87% probability that the sample mean is less than 56.

Item c:

This probability is the p-value of Z when X = 63 subtracted by the p-value of Z when X = 56.

These p-values were found in the previous items, so:

0.7734 - 0.1587 = 0.6147

0.6147 = 61.47% probability that the sample mean is between 56 and 63.

A similar problem is given at https://brainly.com/question/24663213

Given :-

To find :-

Solution :-

According to Question,

So that ,

Answer:

$690.86

Step-by-step explanation:

100% from the original cost is: 2 x 863.57 = $1,727.14

40/100 = X/1727.14 (40 percent is what of 1,727.40) (%/100 = is/of)

(40 * 1,727.14) / 100 = $ 690.86

The total time that should be taken by him to finish the book is 3.9 hours.

Given that,

Based on the above information, the time taken should be

[tex]= 375 \times 20 \div 32[/tex]

= 234.375 minutes

Now in hours it should be

[tex]= 234.375 \div 60[/tex]

= 3.9 hours

Therefore we can conclude that the total time that should be taken by him to finish the book is 3.9 hours.

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0.5% of 100

is equivalent to multiplying them:

0.5% × 100 = 0.5

Answer:

-5

Step-by-step explanation:

Here are the steps to take in calculating the correlation coefficient:

Determine your data sets.

Calculate the standardized value for your x variables.

Calculate the standardized value for your y variables.

Multiply and find the sum.

Divide the sum and determine the correlation coefficient.

Answer:

b

Step-by-step explanation:

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5/0.25 = 20km/h

or

5000/1500 = 3.33m/s

Answer:

help with this https://brainly.com/question/25211060

Step-by-step explanation:

Answer:

(137.75 - 15.25)/24.5=x

122.5/24/5=x

5=x

x= number of friends who can go to the amusement park

Step-by-step explanation:

137.75 is the total amount of money.

First, we need to subtract 15.25 because this money is going to be spent on parking.

Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.

Hope this helped!

By solving a linear equation we will see that 5 people can go to the amusement park.

We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:

$137.75 - $15.25 = $122.50

Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:

y = $122.50 - $24.50*x

To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).

$0 = $122.50 - $24.50*x

$24.50*x = $122.50

x = $122.50/$24.50 = 5

So with that amount of money, 5 people can go to the amusement park.

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Answer:

33.6

you are welcome :)

Step-by-step explanation:

Answer:

[tex]x + 2x + a + 90 \degree = 360\degree \\ x + 2x + 132\degree + 90 \degree = 360\degree \\ 3x + 222\degree = 360\degree \\ 3x = 360\degree - 222\degree \\ 3x = 138\degree \\ x = \frac{138\degree}{3} \\ \boxed{ x = 46\degree}[/tex]

Answer:

Final point:

(18,35)

Step-by-step explanation:

This is because the x=intercepts are increasing at a constant rate of 10.

Hope this helps :)

Answer:

b

Step-by-step explanation:

just trust me

Answer:

Make all fractions have the same common denominator, and you will find that 3/8 is the smallest value.

Step-by-step explanation:

B

dividing with the same numbers and different exponents is like subtracting the exponents

16-8 = 8

Answer:

seven and a half

Step-by-step explanation:

Answer:

100 cm2

Step-by-step explanation:

The volume of the triangular prism will be 132 cubic centimeters. The correct option is A.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the cube or Cuboid. The volume of the rectangular prism is calculated by the product of the triangular base and the height of the prism.

Given that the dimensions of the base of the prism are height = 4cm and base = 6 cm and the length of the prism will be 11 cm.

The volume of the prism will be calculated as:-

V= ( 1/ 2 ) b x h x L

V = 0.5 x 4 x 6 x 11

V = 132 cubic centimeter

Therefore, the volume of the triangular prism will be 132 cubic centimeters. The correct option is A.

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Answer:

james has 3d-10

Step-by-step explanation:

Amy has d dollars

james has 10 less than 3 times Amy's amount

so the answer will be 3d - 10

hope it helps : )

The expression that represents James' amount is 3d - 10. Then the correct option is A.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A sentence-to-equation translation is a process of turning a given statement into an expression or equation.

James has $10 less than Amy, who has three times as much money.

Let d be the amount Amy has. Then the expression is given as,

⇒ 3d - 10

The expression that represents James' amount is 3d - 10. Then the correct option is A.

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The missing options are given below.

a) 3d - 10

b) 10 - 3d

c) 3d - 30

d) 30 - 3d

Answer: 7:1

Step-by-step explanation:

The answer is 7:1 because when referring to ratios the answer has to correspond to a group of items to something else. In this case, we are comparing 7 inches to a yard.

The height of the triangle if the base is 8 is 3.96 units

Given the following parameters

Base of a triangle = 8 units

Let the hypotenuse be "c"

Let the height be "h"

If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;

c = 2h + 1

According to the Pythagoras theorem:

c² = b² + h²

(2h + 1)² = 8² + h²

Expand

4h²+4h+1 = 64 + h²

4h²-h² + 4h + 1 - 64 = 0

3h² + 4h - 63 = 0

Factorize the result

On factorizing, the value of the height is 2

h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]

h = 11.89/3

h = 3.96 units

Hence the height of the triangle if the base is 8 is 3.96 units

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Answer:

[tex]\frac{29}{35}[/tex] Is correct answer

Step-by-step explanation:

Step 1: We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 2 by 7, and get 14, then we multiply 5 by 7 and get 35.

Now for the second term. You multiply 3 by 5, and get 15, then multiply 5 by 7 and get 35.

Step 2: Since our denominators match, we can add the numerators.

14 + 15 = 29

That gives us an answer of = [tex]\frac{29}{35}[/tex]

In pic

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