Find the area of this parallelogram?

Answer:

x=15 cm

Step-by-step explanation:

The two triangles in the diagram are:

ABC and BDC

First we have to find the third side (hypotenuse) of BDC so that we can use it to find the value of x.

Hypotenuse is the largest side of a triangle which is usually in front of the right angle.

So in BDC

[tex]Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm[/tex]

Applying Pythagoras theorem:

[tex](Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm[/tex]

Solving for triangle ABC

[tex]Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\[/tex]

Applying Pythagoras theorem

[tex]AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm[/tex]

Hence,

x=15 cm

Answer:

C) -4,4,-6

Step-by-step explanation:

domain is x so plug the domain numbers into the function

4-2(-4)=12

4-2(0)=4

4-2(5)=-6

Therefore Range is (-4,4,-6)

Answer:

rise, run

Step-by-step explanation:

When finding the slope of a line using a slope triangle, the RISE length is divided by the RUN length. (I think. Sometimes the "divided by" makes me confused about which is on top, but I'm pretty sure this is right.)

Answer:

The greatest common factor of 24, 36, and 50 is 2.

Step-by-step explanation:

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 50 are 1, 2, 5, 10, 25, 50

Therefore the GCF is 2.

We can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2

For us to get the greatest common factor of 24, 36, and 50, we need to get their individual factor first as shown:

24 = 2 * 12

36 = 2 * 18

50 = 2 * 25

From all the factors, we can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2

Learn more: https://brainly.com/question/219464

Answer:

Velocity is 20

Step-by-step explanation:

well you divide the meters traveled by the time it took and you should get your answer.

1. divide 1200 by 20

2 answer should be 60

Answer:

numbers:letters

5:4 (numbers:letters form)

Step-by-step explanation:

There are 5 numbers in the password and 4 letters

Hopefully this helps :)

Answer:

[tex]f(x)=4x^2[/tex]

Step-by-step explanation:

Quadratic Model

The quadratic function can be expressed in the form:

[tex]f(x)=ax^2+bx+c[/tex]

Where a,b, and c are constants to be determined using the points through which the function passes.

We have the points (-2,16) (0,0) (1,4). To find the values of a,b,c we just substitute the values of x and y and solve the system of equations.

Point (0,0):

[tex]f(0)=a*0^2+b*0+c=0[/tex]

It follows that

c=0

Point (-2,16):

[tex]f(0)=a*(-2)^2+b*(-2)+c=16[/tex]

Operating:

[tex]a*(4)+b*(-2)+c=16[/tex]

Since c=0:

[tex]4a-2b=16[/tex]

Divide by 2:

[tex]2a-b=8\qquad\qquad [1][/tex]

Point (1,4):

[tex]f(1)=a*(1)^2+b*(1)+c=4[/tex]

[tex]a*(1)+b*(1)+c=4[/tex]

Since c=0:

[tex]a+b=4\qquad\qquad [2][/tex]

Adding [1] + [2]:

2a+a=12

3a=12

a=12/3=4

a=4

From [2]

b=4-a

b=4-4=0

b=0

The model is:

[tex]\boxed{f(x)=4x^2}[/tex]

Answer:

I believe it's C, 0.4 x 0.7

Step-by-step explanation:

Answer:

14 1/3

Step-by-step explanation:

First, you need to do what's in the parenthesis by finding a common denominator, which is 6. Multiply the 1 by 2 because that is what you multiply 3 by to get 6. You end up with 8 7/8 + 5 3/6. You then have to find the common denominator again, which is 24. Now the problem is 8 21/24 + 5 12/24. you get 13 32/24, which is equal to 14 8/24. Simplify, and you have 14 1/3.

Answer:

$52.71

Step-by-step explanation:

Today's price= $58.63

Yesterday's price= y

Difference= $5.92

y+5.92 = 58.63

y = 58.63 - 5.92

= $52.71

Answer: No

Step-by-step explanation:

The c kind of cut off, but you can use slopes to figure it out. The rule for a perpendicular slope is the opposite reciprocal. Assuming that C is the right angle, since right triangles typically work that way, we can figure out the slopes for ac and bc. The slopes are not reciprocals:

AC= -5/2

BC=  -1/3

This isn't a right triangle because the lines are not perpendicular.

Answer:

Step-by-step explanation:

The sides of a parallelogram are equal. If O is the midpoint of its diagonal AC, them AO+OC = AC

Given

AO = 4x + 12 and

OC = 5x – 6

Required

AC

AC = 4x+12 + 5x-6

AC = 4x+5x+12-6

AC = 9x+6

Hence the length of AC is 9x+6

Answer:

I am too young for this type of math, but I suggest you try M-a-t-h w-a-y

Answer:

Irrational: √2 = 1.4

Step-by-step explanation:

Answer:

angle b=36

Step-by-step explanation:

angle b = 90-54=36 (given b+54+90)

Answer:

86-14x

Step-by-step explanation:

4(x+8)+9(6-2x)

4x-18x+54

4x-18x+86

-14x+86

86-14x

Answer:

z > 4

Step-by-step explanation:

- 2z - 3 < 5

- 2z < 5 + 3

- 2z < 8

z > - 4

Answer:

z > -4

Step-by-step explanation:

Please see the following attachment for step by step

Answer:

Yes

Step-by-step explanation:

Because for every 8 feet of the original rectangles, it will be 3 feet on the scale model, therefore it is reducing.

Answer:

Elias is not correct, A scale factor of 8/3 is an enlargement because it is greater than 1.

A reduction has a scale factor between

0 and 1.

(Verified answer)

Answer:

5x = 3x

4+8t-y=y-t+8

98/r=34t

Step-by-step explanation:

hope this helps!

mark me brainliest plz!

Answer:

y = 1/4

Step-by-step explanation:

y⁻⁴ = 256

(1/y)⁴ = 256

y⁴ = 1/256

y =  ⁴√1/256

y = 1/4

Thus, The value of y is 1/4

-TheUnknownScientist

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf (w+4)(3w-2)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf w(3w-2)+4 (3w-2)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3w^2-2w+12w-8[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3w^2+10w-8 [/tex]

Answer:

Evaluate each given numbers, expressions or equation.

Check the values or numbers.

Now in order to solve we proceed in the manner

Answer:  First You Have To Simplify The Equation From Both Sides Then Thats how You Will Determine what f is. F = -15

Variable [tex]f[/tex] is isolated as [tex]\boldsymbol{f=-15}[/tex] in the expression [tex]\frac{f}{3}+22=17[/tex].

A variable is a symbol and placeholder for a changing amount or any mathematical object.

An algebraic expression is one that is composed of integer constants, variables, and algebraic operations.

Given expression is [tex]\frac{f}{3}+22=17[/tex]

Transpose [tex]22[/tex] to the right side of the equation.

[tex]\frac{f}{3}=17-22\\\frac{f}{3}=-5[/tex]

[tex]f=-15[/tex]

So, variable [tex]f[/tex] is isolated as [tex]\boldsymbol{f=-15}[/tex]

Find out more information about algebraic expression here:

https://brainly.com/question/2945451?referrer=searchResults

Answer: x-12

Step-by-step explanation:

Simplify.

x

−

1

0

−

6

+

4

x−10−6+4

2 Collect like terms.

x

+

(

−

1

0

−

6

+

4

)

x+(−10−6+4)

3 Simplify.

x

−

1

2

x−12

Answer:

1.445 × 10³

Step-by-step explanation:

Standard form is a way of writing a small number or a large number easily.

We should give the final answer in standard form.

1) (1.7 × 10⁴) × (8.5 × 10⁻²)

We enter this directly into the calculator to obtain a solution.

= 1445

We write this in standard form we have :

1.445 × 10³

Answer:

1.445 × 10³ hope it helped goodluck!

Answer: 22

Step-by-step explanation:

2r - 7 = r + 15

2r - r = 15 + 7

2r = 22

r = 22/2

r = 11

Answer:

30.7

Step-by-step explanation: