What is the rate of change

Step-by-step explanation:

Area of triangular prism =1/2 ×base×height

550=1/2×22×h

h=550/11

h=50m

hope it helps.

Answer:

height = 50 m

Step-by-step explanation:

Area of a triangle = 1/2* base * height

550 = 1/2 * 22 * height

550 = 11 * height

therefore, 550/11 = height

therefore, height = 50 metres

Answer:

18 years

Step-by-step explanation:

let the boy's age my x and mother's age be y

x+y=48

y=3+2x which can also be written as 2x-y=-3

on solving both the equations,

you will get x=15 and y=33

so son's age is 15 years and mom's age is 33 years and the difference between their ages is 18

Answer:

3rd expression is correct

.........

Answer

hmmmmmmmm

Step-by-step explanation:

Answer:

see in the picture, we have:

P is the midpoint of AB

Q is the midpoint of CD

=> PQ is the median line of the trapezoid ABCD

=> PQ = (BC + AD)/2 = (54 + 33)/2 = 43.5

Answer:

The final price would be $26.95

Step-by-step explanation:

Answer:

The final price of the sweater is $26.95

Step-by-step explanation:

30% of 38.50 is 11.55

38.50-11.55

26.95

Hope that helps

Answer:

2500 square feet

Step-by-step explanation:

We know that the area of a square is = a*a

here a= 50 feet

area= 50*50

=2500 square feet.

Answer:

y + y+ y is 3y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

oh my friend can answer this ill send her this page!

Step-by-step explanation:

Answer:

1464

Step-by-step explanation:

do:

200x6

40x6

4x6

then add them

Answer: 90

Step-by-step explanation:

Answer:

The absolute value of -90 is 90

Step-by-step explanation:

-90 is 90 away from 0.

x + 3y + 1/2z

(4x + 12y + 2z)/4         <----- Divide the whole expression by 4

Answer:

5/6

Step-by-step explanation:

10minutes = 25/3 pages

Minutes /pages = 25/3 ÷ 10 = 25/3 × 1/10 = 25/30

= 5/6

9514 1404 393

Answer:

  11.2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relation:

  Cos = Adjacent/Hypotenuse

  cos(37°) = x/14

  x = 14·cos(37°) ≈ 11.1809

The value of x is about 11.2.

Answer:

The resulting price would be $100

Step-by-step explanation:

Subtract the percentage value from the original one

125 - 20%

125 - 125(0.2)

100

Answer:

RT=108

Step-by-step explanation:

Consider ΔQST:

Use pythagorus's theorem.

a²=b²+c²

QS²=QT²+ST²

53²=QT²+28²

2809-784=QT²

QT=√2025=45

Consider ΔQRT:

Use pythagorus's theorem.

a²=b²+c²

QR²=QT²+RT²

117²=45²+RT²

13689-2025=RT²

RT=√11664=108

Answer:

Solve the system of equations.

x = 1

y = 2

Step-by-step explanation:

Hope it is helpful....

[tex]5x + 2y = 9[/tex]

with given condition where y = 2.

Therefore, substitute the value of y in the equation.

[tex]5x + 2(2) = 9 \\ 5x + 4 = 9[/tex]

[tex]5x = 9 - 4 \\ 5x = 5 \\ x = \frac{5}{5} \longrightarrow \frac{1}{1} \\ x = 1[/tex]

[tex]5x + 2y = 9 \\ 5(1) + 2(2) = 9 \\ 5 + 4 = 9 \\ 9 = 9 \longrightarrow \bf{true} \: \green{ \checkmark}[/tex]

Hence, the value of x is 1.

[tex] \large{x = 1}[/tex]

Answer:

D

Step-by-step explanation:

First, simplify the equation.

-3x+1<7

-3x<6

x>-2 (the sign flips because you are dividing by negative)

> means x is greater than -2 so the line will go towards the right.

Because the sign is >, the dot is open.

The number line C shows all the values for the inequality -3x + 1 < 7.

'In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal.'

According to the given problem,

Given inequality = -3x + 1 < 7

                           ⇒ -3x < 7 - 1

                           ⇒ -3x < 6

                           ⇒ -x < 2

                           ⇒ x > -2

Interval notation of the values of x = ( -2 , ∝ )

Number line C graphs all the values of x, which is greater than -2 and extends up to infinity.

Hence, we can conclude number line C shows all the values of x in the interval (-2 , ∝).

Learn more about inequalities here: https://brainly.com/question/15137133

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Answer:

L=(8x^2+3)/x

Step-by-step explanation:

The area of a rectangle is length time width.

A=LW

In this case,

A=32x^2+12

W=4x

Solve for L

L=A/W

Substitute

L=(32x^2+12)/4x

L=(8x^2+3)/x

Answer:

it is b

Step-by-step explanation    i said so

Answer:

b=1/6

Step-by-step explanation:

Answer:

The answer are

[tex]m < 1 = 27 \\ m < 2 = 27 \\ m < 3 = 90 \\ m < 4 = 27 \\ m < 5 = 63 \\ m < 6 = 63[/tex]

Answer:

ASA

Step-by-step explanation:

We can see that the triangle has at least one similar side and one similar angle. We can also see that the triangles meet at a point, so they must have the same angle at that point where they connect. So that leads us to our answer being ASA since they have two similar angles and one similar side. This is the answer that I think is correct just by looking at the image. I haven't take this class since last year, so this is simply from memory. Correct me if I am wrong!

Answer:

The newspaper has 1,600 readers.

Answer:

2. (1) [tex]30[/tex]

3. (1) [tex]y=\frac{1}{4}x[/tex]

4. a) [tex]y=x+6[/tex]   b) [tex]42[/tex]

Step-by-step explanation:

In a proportional relationship, y=2 when x=8, the following lines will show this relationship,

1.   y = 1/4x

2.  y = x - 6

4.  y =  1/2x - 2

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

The point,

x = 8 and  y = 2

We have to check all the given options,

1.   y = 1/4x

     y  = 1/4 × 8

     y  =  2

2.  y   = x - 6

         = 8 - 6

    y   =  2

3.  y   = 4x

         = 4 × 8

    y   = 32

4.  y   = 1/2x - 2

         = 1/2 × 8 - 2

         =  2

Hence, Option 1, 2, & 4 satisfies the given condition

To know more about Line check:

https://brainly.com/question/17188072

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Answer:

by divisibility rule of 3 for a no. to be divisible by 3 there is necessary condition that sum of all digit is divisible by 3.

so ans is 2 (smallest digit)

Answer:

12/9 = 4/3 = 1 1/3

B is your answer

Answer:

B.)

YA HUR

GL :)