What number goes into 6 18 and 3​

Answer:

7.48 in.

Step-by-step explanation:

Given :-

And we need to find out the second leg. So here we can use the Pythagoras Theorem , which establish the relationship between the sides of a right angled triangle. As ,

[tex]:\implies[/tex] p² + b² = h²

[tex]:\implies[/tex] 5² + b² = 9²

[tex]:\implies[/tex] 25 + b² = 81

[tex]:\implies[/tex]b² = 81 -25

[tex]:\implies[/tex] b² = 56

[tex]:\implies[/tex] b = 7.48 in

Hence the measurement of second leg is 7.48 inches .

Answer:

$13,537.79

Step-by-step explanation:

The future value of the account after 5 years will be 762 dollars.

Compound interest is calculated for the principle borrowed as well as previous interest accumulated.

According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.

Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.

We know the formula for Amount(A) compounded quarterly is

A = P[ 1 + (r/4)/100)]⁴ⁿ.

A = 600[ 1 + (5/4)/100]⁴ⁿ.

A = 600[ 1 + 1.2/100]⁴ˣ⁵

A = 600[ 1 + 0.012]²⁰.

A = 600[ 1.012]²⁰.

A = 600(1.27).

A = 762 dollars.

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Answer:

Step-by-step explanation:

23 x 180/ 12 = 345°

The next answer is "an exponential."

Step-by-step explanation: The answers after that are 3.195 and 1.106

Answer: first part: an increasing

Second part: An exponential

Third part: 3.915, 1.106

Step-by-step explanation: i just did it

Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]

(a)

(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]

[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]

[tex]=50.42[/tex] m/s

(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]

[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]

[tex]=51.35[/tex]m/s

(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]

[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]

[tex]=52.094[/tex]m/s

(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]

[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]

[tex]=52.2614 [/tex]m/s

(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]

[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]

[tex]=52.27814 [/tex]m/s

(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]

[tex]=56-1.86[/tex]

[tex]= 54.14[/tex] m/s

Answer:

Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2

Step-by-step explanation:4

Answer:

19.8 years old

Step-by-step explanation:

If Z=(x-μ)/σ where Z=-1.32, σ=3.2, and μ=24, then:

-1.32=(x-24)/3.2

-4.224=x-24

19.776=x

19.8

Therefore, the age of a concert attendee with a z-score of -1.32 is 19.8 years old.

Answer:

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3

Step-by-step explanation:

Answer: 1/3 quart

Step-by-step explanation: since they both have the same denominator, you can just do 5-2=3. that gives you 3/9, which can be simplified by dividing both the numerator and denominator by 3 which equals 1/3.

Answer:

the angle between u=(8, -2) and v=(9,3) is 32.5°

Step-by-step explanation:

u=(8,-2)=(u1,u2)→u1=8, u2=-2

v=(9,3)=(v1,v2)→v1=9, v2=3

We can find the angle between two vectors using the formula of dot product:

u . v =║u║║v║cos α   (1)

And the dot product is:

u . v = u1 v1 + u2 v2

u . v = (8)(9)+(-2)(3)

u . v = 72-6

u . v = 66

║u║=√(u1²+u2²)

║u║=√((8)²+(-2)²)

║u║=√(64+4)

║u║=√(68)

║u║=√((4)(17))

║u║=√(4)√(17)

║u║=2√(17)

║v║=√(v1²+v2²)

║v║=√((9)²+(3)²)

║v║=√(81+9)

║v║=√(90)

║v║=√((9)(10))

║v║=√(9)√(10)

║v║=3√(10)

Replacing the known values in the formula of dot product (1):

u . v =║u║║v║cos α

66 = 2√(17) 3√(10) cos α

Multiplying:

66 = 6√((17)(10)) cos α

66 = 6√(170) cos α

Solving first for cos α: Dividing both sides of the equation by 6√(170):

Simplifying: Dividing the numerator and denominator on the left side of the equation by 6:

(66/6)/(6√170/6)=cosα→11/√170=cosα→cosα=11/√170

cosα=11/13.03840481→cosα=0.84366149

]

Answer:

9 times

Step-by-step explanation:

it represents a origin on the plane

From the graph, it can be observed that the porch area is greatest when the width is approximately 25 feet. Therefore, the answer is C. 25 ft.

A graph is a visual representation of data or information. It usually consists of two axes, one horizontal and one vertical, that intersect at a point called the origin. The horizontal axis is often referred to as the x-axis, while the vertical axis is the y-axis.

From the graph, we can see that the porch area is increasing as the width increases until it reaches a maximum value and then starts to decrease.

The maximum point of the graph is at approximately 25 feet, which means that the porch has the greatest area when its width is approximately 25 feet.

Therefore, the width of the porch with the greatest area is 25 feet. The correct option is C.

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Answer: 904.779

Step-by-step explanation:

v = pi x radius^2 x height

Answer:

904.78 cm^3

Step-by-step explanation:

The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3

The answer is                                                                                                                                  

      S                                                     .For many reasons    

Therefore,

equation:3.25x+1.2=40.2

ansrew:x=12

Answer:

b or c

Step-by-step explanation:

Answer:

34.91

Step-by-step explanation:

433.91

-

399.00

————

34.91

Answer:

5

Step-by-step explanation:

Answer:

B. 30

Step-by-step explanation:

Given.:

m<4 = 2x°

m<5 = 4x°

Required:

Value of x

Solution:

<4 and <5 are angles in a straight line, therefore:

m<4 + m<5 = 180°

Substitute

2x + 4x = 180°

6x = 180°

x = 180/60

x = 30

Answer:

Step-by-step explanation:

B looks good

Answer:

2 cups of flour : 1 cup of shortening

Step-by-step explanation:

So lets gather our information.

We know it takes 6 cups of flour for the reciepe.

We also know it takes 3 cups of shortening.

To find the ratio, put the two number values in a fraction:

cups of flour/cups of shortening

=

6/3

This says for 6 cups of flour, there are 3 cups of shortening

We can simplyfy this to:

2/1

This says for 2 cups of flour, there is 1 cup of shortening.

Answer:

2/1

Hope this helps! ;)

Answer:

90°

Step-by-step explanation:

90

Thales Theorem

Answer:

X = 1/2

Step-by-step explanation:

Answer:

Ans is 2 x square + 2x - 4 because the sign in this ans contains +, -  divided into three part. which is trinomial

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Answer:

Evan is Correct.

Step-by-step explanation:

This shape is considered a rhombus because of the fact that it has all equal side lengths. Trapezoids are defined by having only one set of parallel lines, while the image appears to have two.