For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 63 N acts on a certain object, the acceleration of the object is 7 /ms2. If the acceleration of the object becomes 2nd /ms2, what is the force?

Answer:

Question 12: Find the slope from these two points: (-3,-3) and (-4,-8)

The formula for finding the slope from two points is attached to this answer.

So if we plug in our values that correspond to the formula we get the following:

First pair: -3 is our x1, -3 is our y1,

Second pair: -4 is our x2, -8 is our y2

-8--3/-4--3

-8+3/-4+3

-5/-1=5, Our slope is 5 for question 12

Question 18: Find the area of a circle with a diameter of 31.

Area=[tex]\pi r^2[/tex]

So we have [tex]15.5^{2} \pi[/tex]

240.25 times 3.14 is 754.385, if we round to the nearest whole number we receive 754 as our answer for question 18

Question 21: Find the measurement of a missing leg in a right triangle when given the hypotenuse and another leg

We know that the hypotenuse is 8cm and one of the legs is 5cm

the formula would be [tex]a^{2} +b^{2}= c^{2}[/tex] for the hypotenuse but this can be used to find the missing legs as well.

[tex]5^{2} +b^{2} =8^{2}[/tex]

[tex]25+b^{2} =64[/tex]

Subtract 25

[tex]b^{2} =39[/tex]

b would equal 6.44 something but the question said to round to the nearest whole number which would be 6.

Question 23: Find the volume of a cone

Radius: 10, height: 7

Formula to find the volume of a cone: 1/3 times 3.14 times r^2 times the height

1/3 times 3.14 times 10^2 times 7

1/3 times 3.14 times 700

1.046 (the 46 is repeating) repeating times 700

732.06 repeating, the 6 is repeating.

The question also asks us to round to the nearest whole number so the answer to question 23 would be 733

Question 26: Find the volume of a sphere

Radius is 6 and pi is 3.14

Formula: [tex]4\pi \frac{r^3}{3}[/tex]

So we have 4 times 3.14 times 6^3 divided by 3

4 times 3.14 times 108/3

4 times 3.14 times 36

12.56 times 36

452.16, I didn't see this answer listed on your worksheet, so please correct me if I'm wrong

Question 47: Probability of a number cube rolled many times to see how many times an even number is rolled.

Since this is a standard number cube there must be 6 sides, therefore half the numbers are even so

65 * 2 = 32.5, which rounds up to 33

33 is our answer to question 47

Hope I helped, have a nice day :)

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

----------------------

To summarize so far, we have these three facts

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

------------------------

Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

x³ + ax² + 5x + 3. x + 2 = 0

x = -2

(-2)³ + a(-2)² + 5(-2) + 3 = 0

-8 + 4a - 10 + 3 = 0

4a - 15 = 0

4a = 15

a = 15/4

Answer:

(ab) = 6

Step-by-step explanation:

a = 2 and b = 3

So, (2(3)) or 2 x 3 = 6

Answer:

1 2/15

Step-by-step explanation:

Also, I plead the 5th

The mixed fraction of  17/15 is  [tex]1\frac{2}{15}[/tex]  .

The given fraction is,

17/15

We have to write 17/15 in mixed fraction,

Since we know that,

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

And a mixed fraction is a fraction made up of a fraction and a full number.

Now applying long division method to find mixed fraction,

15 ) 17 ( 1

   - 15

______

       2

Hence,

17/15 =  [tex]1\frac{2}{15}[/tex]  is the required mixed fraction.

Learn more about the fraction visit:

https://brainly.com/question/5454147

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Answer: [tex]15.3\ \text{units}[/tex]

Step-by-step explanation:

Given

Coordinates of the corners are D(-2,-1), E(3,2), and F(0,4)

Length DE is

[tex]\Rightarrow DE=\sqrt{(2+1)^2+(3+2)^2}\\\Rightarrow DE=\sqrt{(3)^2+(5)^2}\\\Rightarrow DE=\sqrt{34}\ \text{units}[/tex]

Length EF is

[tex]\Rightarrow EF=\sqrt{(4-2)^2+(0-3)^2}\\\Rightarrow EF=\sqrt{(2)^2+(-3)^2}\\\Rightarrow EF=\sqrt{13}\ \text{units}[/tex]

Length FD is

[tex]\Rightarrow FD=\sqrt{(4+1)^2+(0+2)^2}\\\Rightarrow FD=\sqrt{(5)^2+(2)^2}\\\Rightarrow FD=\sqrt{29}\ \text{units}[/tex]

Perimeter of the triangle is

[tex]\Rightarrow DE+EF+FD=\sqrt{34}+\sqrt{17}+\sqrt{29}\\\Rightarrow DE+EF+FD=15.3\ \text{units}[/tex]

Answer:

15 cm²

Step-by-step explanation:

5 + 1 + 1 = 7

7 × 5 = 35

5 × 1 = 5

5 + 5 + 5 + 5 = 20

35 - 20 = 15

Answer:

15 sq.cm

Step-by-step explanation:

Length of the shaded rectangle = length of the unshaded rectangle = 5 cm

Breadth of the shaded rectangle = 5 - ( 1 + 1) = 5 - 2 = 3 cm

Area of the shaded rectangle = 5 * 3 = 15 sq.cm

Answer:

32,432,400

Step-by-step explanation:

This you can use a permutation.

P(15,7)15x14x13x12x11x10x9

There are 32,432,400 ways to arrange it.

Answer:

[tex]4( {x}^{2} - 1) - ( {x}^{2} - 8x - 5)[/tex]

[tex]4 {x}^{2} - 4 - {x}^{2} + 8x + 5[/tex]

[tex]3 {x}^{2} + 8x + 1[/tex]

Answer:

12 is 85.714285714286% of 14.

Answer:

A = 20

Step-by-step explanation:

Answer:

cos(θ) = 3/5

Step-by-step explanation:

We can think of this situation as a triangle rectangle (you can see it in the image below).

Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.

Here we want to find cos(θ).

You should remember:

cos(θ) = (adjacent cathetus)/(hypotenuse)

We already know that the adjacent cathetus is equal to 3.

And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:

3^2 + 4^2 = H^2

We can solve this for H, to get:

H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5

The hypotenuse is 5 units long.

Then we have:

cos(θ) = (adjacent cathetus)/(hypotenuse)

cos(θ) = 3/5

four times m equals negative eight

Answer:

81.25

Step-by-step explanation:

Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.

Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.

Finally, add those two distances together so that you know the total distance:

49.75+31.5 = 81.25

Answer:

in the picture

HOPE ITS HELP

Answer:

1. y = 4/7x +2

2. y = -1/7x +2

3. y = x +2

4. y = 1/7x +2

Answer:

x = 22

Step-by-step explanation:

line AD is 180°

so 40° + (5x + 30°) = 180°

solve for x.

5x = 180-30-40

5x= 110

x = 110/5

x= 22

Answer: 22

180 - 40 = 140

5(22) = 110

110 + 30 = 140

Answer:

1.256 million ???

Answer:

For the fifth box, the correct answer is 24.

Since there are 4 different letters, use the formula 1 x 2 x 3 x 4 / {(1) (1) (1) (1)}.

When you solve that, you should get 24/1 or just 24.

Not sure if you have heard of this formula, but it is much more efficient than counting all the possible outcomes.  

For the sixth box, the probability of pulling out the letters in the order of MATH is only one of the possible outcomes out of 24.

Thus, the fraction to represent this is 1/24.

Hope this clears up any misunderstandings.

Answer:

3=140°

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]( \frac{1}{4} )x = 2 \\ \frac{1}{4} x = 2 \\ x = 2 \times \frac{4}{1} \\ x = 2 \times 4 \\ x = 8[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

the 2 statistical questions are B and C

Answer:

that is behavior that coefficient

Given :

Some points on two line j and k on the graph.

To Find :

The solution of the system.

Solution :

We know, solution of system is given by the points that satisfy all the equation given in the system.

From the given tables we can see that point ( 3, 18 ) satisfy both the equation j and k.

Therefore, the solution of the system is ( 3, 18 ).

Answer:

$7.5

Step-by-step explanation:

1 quart = 4 cups

So:

12 cups = 12/4 = 3 quarts

Each quart is 2.5 dollars

3 * 2.5 = $7.5

Answer:

the square root of 5=2.2361

Answer:

x^3+3x−3+x^2

Step-by-step explanation:

Answer:

x3+x2+3x − 3

Step-by-step explanation:

which type of data is best displayed in a histogram?

-----------------

C) The daily number of movie tickets sold in January.