Find the mean for the following fractions
d
d + 1
d +5
4
12
24

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

12^2 + 15^2 = c^2

144 + 225 = c^2

144 + 225 = 369^2

√369 = 19.21

[tex]\sf\huge\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] As we know that,

[tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

[tex]\rightarrow[/tex][tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](putting the value of both given side of triangle)

[tex]\rightarrow[/tex] [tex]\sf{9^2 +B^2 \:=\: 16^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{81 +B^2 \:=\: 256}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 256-81}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 175}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B \:=\: \sqrt{175}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B\:=\: 13.22(approx)}[/tex]

Therefore, measure of another side (leg) of the triangle = [tex]\sf\purple{ 13.22(approx).}[/tex]

____________________________________

Hope it helps you:)

Answer:

48

Step-by-step explanation:

If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.

Answer:

17.5 months.

Step-by-step explanation:

Answer:

35 feet

Step-by-step explanation:

when the flare is fired , time t = 0

substitute t = 0 into the equation

f(0) = - 10(0)² + 60(0) + 35 = 0 + 0 + 35 = 35

Answer:

the correct answer would be 35  feet

Step-by-step explanation:

hope this helps

Answer:

43690

Step-by-step explanation:

hope u understand it

Answer:

X = 5

Step-by-step explanation:

3x + 2 = 17

3x = 7-2

3x = 15

x = 5

Answer:

x=5

Step-by-step explanation:

3x+2=17

or,3x=17-2

or,3x=15

or,x=15/3

or,x=5

Answer:

A

Step-by-step explanation:

i did this before and got it correct

Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:

[tex]\tan{30^\circ} = \frac{h}{25}[/tex]

[tex]h = 25\tan{30^\circ}[/tex]

h = 14.43.

For an error of 5%, the bounds of h are as follows:

[tex]h_{min} = 0.95 \times 14.43 = 13.71[/tex]

[tex]h_{max} = 1.05 \times 14.43 = 15.15[/tex]

Hence, the angles will be given by:

[tex]\tan^{\alpha} = \frac{13.71}{25}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}[/tex]

[tex]\alpha = 28.8[/tex]

[tex]\tan^{\alpha} = \frac{15.15}{25}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}[/tex]

[tex]\alpha = 31.2[/tex]

Hence the angle measurement has to be within 1.2º of 30º.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

Volume = 1/3 ft^3

Step-by-step explanation:

volume of prism is multiplying the dimensions

Volume = (1/3 ft)x(2/3ft)x(1 1/2ft)  

Volume = (1/3 ft)x(2/3ft)x( 3/2ft)

Volume = (1x2x3)/(3x3x2) ft^3 = 6/18 ft^3 = 1/3 ft^3

Option B is correct, the volume of the  right rectangular prism is 1/3 cubic feet.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a right rectangular prism.

The length is [tex]1\frac{1}{2}[/tex] feet

The width is 2/3 feet

The height is 1/3 feet.

Volume=Length×width×Height

= [tex]1\frac{1}{2}[/tex] ×2/3×1/3

=3/2×2/3×1/3

=1/3 cubic feet

Hence, Option B is correct, the volume of the  right rectangular prism is 1/3 cubic feet.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

Answer:

Replace the y, z, and x values with real numbers .

0 - 3 = -3

5 + 4 = 9

3 + 4 = 7

Answer:

Just use a calculator

Step-by-step explanation:

It's easier :)

Answer:

B

Step-by-step explanation:

A linear association means the function is a relation that can be shown with a line.

The first scatterplot is in the form of a parabola, and parabolas are the quadratic function form, meaning it cannot be linear.

Next, the second scatterplot goes diagonally, in a straight line. If we were to connect the dots using a line, then it would be a linear association, meaning that B is the correct answer.

Step-by-step explanation:

Here are all the answers.

Answer:

48

Step-by-step explanation:

5(x2+y)+y2

5 x (3 x 2 + 6) + 6 x 2

5 x 6 + 6 + 6 x 2

30 + 6 + 6 x 2

30 + 6 + 12

36 + 12 = 48

Answer:

4 layers

128 cm²

0.1 m

Step-by-step explanation:

Layers of chocolate

Volume of box

Length of river on map

Answer:

128

Step-by-step explanation:

Volume of an open box= 2(b x h) + 2(l x b) + 2(l x h)

now here the length and breadth are same, so both are 8, and there is no need to put 2 before (l x b) as it is an open box

(8 x 8) + 2(8 x 2) + (8 x 2)

The expression f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3 is a polynomial function

The factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

The expression is given as:

f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)

Express as difference of two squares

f(x) = (x - 2)(x + 2)(x ^ 2 + 4x + 3)

Expand

f(x) = (x - 2)(x + 2)(x ^ 2 + x + 3x + 3)

Factorize the expression

f(x) = (x - 2)(x + 2)(x(x + 1) + 3(x + 1))

Factor out x + 1

f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

Hence, the factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

Read more about factored expressions at:

https://brainly.com/question/723406

Answer:

y = (x - 3)² + 1

Step-by-step explanation:

the equation of a quadratic function in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute (1, 5 ) into the equatiuon

5 = a(1 - 3)² + 1 ( subtract 1 from both sides )

4 = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

then equation of quadratic function is

y = (x - 3)² + 1

We can organize the data by making a board (i can't draw one so i'll do it in another way)

First, we have to see how many different values are there :
19 ; 21 ; 22; 23 ; 24 ; 25 ; 26 ; 27 ; 28 ; 29 ; 30 ; 31 ; 32 ; 34 ; 35 ; 36 ; 37 ; 39 ; 40 ; 43 ; 44 ;45 ; 46

Frequency :
19 : 1 time
21 : 3 times
22 : 1 time
23 : 1 time
24 : 5 times
25 : 3 times
26 : 2 times
27 : 4 times
28 : 3 times
29 : 2 times
30 : 2 times
31 : 3 times
32 : 2 times
34 : 2 times
35 : 4 times
36 : 2 times
37 : 1 time
39 : 1 time
40 : 1 time
43 : 2 times
44 : 1 time
45 : 1 time
46 : 1 time
47 : 1 time

(that was so long, now you can construct the board yourself right xd)

Answer:

10/20 or 1/2 it is 50% chance that she pass and 50% that she fail

Step-by-step explanation:

The probability of your friend passing the exam by pure guessing is 0.176 or about 17.6%.

The probability of guessing correctly on any individual question is 0.5 (50%).

If the passing grade is, for example, getting at least 50% of the questions correct, your friend needs to get 10 or more questions correct.

The probability of guessing correctly on exactly k questions out of 20 is given by the binomial probability formula:

[tex]P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)[/tex]

For k = 10 (minimum number of correct answers to pass):

[tex]P(X = 10) = ^{20}C_{10} * (0.5)^{10} * (1 - 0.5)^{(20 - 10)[/tex]

P(X = 10) = 0.176197052

So, the probability is 0.176 or about 17.6%.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ4

Answer:

12,900

Step-by-step explanation:

12.9 x 1000 = 12,900

Answer:

12,900. That is because you must multiply the amount to find the converted value, in this case, 12,900.

Answer:

i think its 20

Step-by-step explanation:

The Neptune's time period of orbit is 164.3 earth years.

We have given that the mass of the sun is 2 × 1030 kg.

The distance between neptune and the sun is 30 au

[tex]T^2 = 4\pi ^2a^3/GM[/tex]

Where T is in earth years, a is astronomical units and

M = solar masses.

4π²/GM = 1,

Therefore we get

[tex]T^2 = a^3[/tex]

[tex]T = \sqrt(a^3)[/tex]

[tex]T = \sqrt(30^3)[/tex]

[tex]T = 164.3[/tex]

Therefore, the Neptune's time period of orbit is 164.3 earth years.

To learn more about the time period visit:

https://brainly.com/question/329317

Answer:

b. 164 earth years

Step-by-step explanation:

just took the quiz 2022

Answer: 21/572

[tex]\frac{5.5}{10 . 22} - \frac{4}{52}[/tex]

The dots stand for multiplication

Answer: Since −3x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3x to both sides.

y=5x−7

−2y=3x−12

Divide each term in the equation by −2.

y=5x−7

y=−3x/2+6

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(2,3)

Answer: Number 11 is       21/5

Number 10 is  35/96

Step-by-step explanation:

Answer:

Yes it can!

Step-by-step explanation:

The 2 shortest sides how to be bigger than the longest sides when combined

7 + 15 = 22 and 22 is bigger than 18. So yes you can make a triangle with those side lengths.

Answer:

Step-by-step explanation:

If this is a right angle triangle then no, it is impossible since this set of lengths is NOT a pythagorean triple.

If this is a non-right angle triangle then yes.

Answer:

14.49

Step-by-step explanation:

thats all folks i don't know why though

Answer:

Step-by-step explanation: