Look for a pattern in the first three diamonds below. For the fourth diamond, explain how you could find the missing numbers if you know the two numbers

Answer:

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

[tex]s^2+10s+25=s^2+895[/tex] and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

Answer:

10.61

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]

Answer:

y = 4

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

y = 4

Answer:

B

Step-by-step explanation:

[tex]d \: = \frac{h}{24} [/tex]

[tex]h \: = 24d[/tex]

i think by x2 you meant x²

(-3x² + 2x + 1) + (-8x² + 3x + 2)

-11x² + 5x + 3

Answer:

In terms of x, the smaller integer is (x - 1)/2

Step-by-step explanation:

Two consecutive positive integers can be written as:

n and (n + 1)

Where n is an integer and:

n > 0.

notice that the smaller of the two integers is n.

We know that the sum of these two integers is equal to x, then:

n + (n + 1) = x

we can rewrite this as:

2n + 1 = x

solving this for n (the smaller of the two integers) we get:

2n = x - 1

n = (x - 1)/2

In terms of x, the smaller integer is (x - 1)/2

Answer:

Area= Base x height

Area= 7 x 12 inch

Area= [tex]84inch^{2}[/tex]

Brainliest please

Answer:

it would be line to zero slope that's all I can do for u pal maybe..

Answer:

[tex]5 \sqrt{2} [/tex]

Answer:A(1,-5)

B(6,-8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of apples given to his friends = x

To represent the number of apples Johnny has, subtract the apples given to his friends from 14

Number of apples with Johnny = 14 - x

Answer:

37

Step-by-step explanation:

Given :

Sample size, n = 128

Mean, μ = 18

Standard deviation, σ = 5.4

Number of people who lost atleast 15 pounds :

The Zscore = (x - μ) / (σ)

Zscore = (15 - 18) / 5.4

Zscore = - 3 / 5.4

Zscore = - 0.5555

P(Z < - 0.555) = 0.28945

Number of people who lost atleast 15 pounds :

0.28945 * 128 = 37.0496

= 37 people

Answer:

(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)

=3(x-4y)÷(x-8y)

Answer:

1/4/3÷5/9

1/4/3÷9/5

1/4/3/5

Answer:

The speed of Sara is 78.4 km/h.

Step- by-step explanation:

Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?

Let the distance is d.

speed of Manuel = 56 km/h

time taken by Manuel = 21 t

time taken by Sara =  15 t

Let the speed of Sara is v.

Distance = speed x time

For Manuel:

d = 56 x 21 t ..... (1)

For Sara:

d = v x 15 t ..... (2)

From (1) and (2)

56 x 21 t = v x 15 t

v = 78.4 km/h

Answer:

hwukebhejsnsknbjbbjkkkkkkkk

Answer:

The same lines (answer)

Step-by-step explanation:

The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,

y-3 = 2(x-3) .......(1)        ;   y + 5 = 2(x+1) ...........(2)    

y = 2x - 6 + 3                ;  y = 2x + 2 - 5    

y = 2x -3                       ;  y = 2x - 3

Comparing with slope intercept form we have,

m1 = 2                           ; m2 = 2

c1 = -3                           ; c2 = -3

If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)

Answer:

60

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Solution :

Colored marble            Prize

     Red ----  10               20

    Blue --- 38                 10

   Green --- 26               5

P(red)  =  10/74  =  5/37

P(blue)  =  38/74  =  19/37

P( green)  = 26/74  =  13/37

Therefore,

 X      →     Red          Blue      Green

P(X)           5/37        19/37      13/37

The expected values are :

[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]

= -4.189

Thus it is not profitable to play the game.

Answer:

3/40 cup

Step-by-step explanation:

3 1/3 =10/3

10/3 to 1 is 1/4 to x

i then proceeded to use the butterfly method to find the answer

Answer:

(26/9 , -7/9)

Step-by-step explanation:

Here,

let the points be

X(-1,7) = (x1, y1)

Y(4,-3) = (x2,y2)

and let the ratio be...

m:n = 7:2

and.. let the point that divides the line be

P(x,y)

now using the section formula for internal division..

P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )

= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )

= ( 26/9 , -7/9 )

We shall proceed in hit and trial method

Find some nearest multiples of 252

Yes last one is square of 42

So smallest no is 7

Answer:

D. 14.1

Step-by-step explanation:

Use sin, opposite over hypotenuse.

sin67 = 13/X

solve for X

Answer:

Option 4.

Step-by-step explanation:

Tan(X)=perpendicular/base

Tan(X)=48/14

X=arctan(48/14)=74

Answer:

The midpoint of the data when it is arranged in order.

Step-by-step explanation:

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the median of the following set of numbers is 5

1, 2, 5, 10, 20

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

In this question, a piece-wise function is asked to be graphed.

Piece-wise function:

A piece-wise function is a function that has different definitions, depending on the input.

In this question, the function has three different definitions:

When x is less than -2, the definition is:

[tex]g(x) = \frac{x}{2} + 3[/tex]

When x is between -2 and 3, inclusive, the function is:

[tex]g(x) = 2[/tex]

When x is greater than 3, the definition is:

[tex]g(x) = 2x - 3[/tex]

The graphic is given by the image at the end here, with the closed circle indicating the inclusive on the intervals.

For another example of a piece-wise graphic, you can check https://brainly.com/question/24324639.

Answer:

D

Step-by-step explanation:

edge!

Answer: Rs 5000 sum of money amount to Rs 6000 in two years at the rate of 10% per annum.​

Step-by-step explanation:

Amount = Rs 6000

T = 2 year

R = 10%

So

I = A-P

so

I = PTR/100

or, A-P = (P*2*10)/100

or, 6000-P = 20P/100

or, 600000-100P = 20P

or, 600000 = 120P

or, P = 600000/120

so, P = Rs 5000