Find the area of the rhombus

Find The Area Of The Rhombus

Answers

Answer 1

Answer:

The rhombus has an area of 240 units. (2nd one on the left).

Step-by-step explanation:

The intersection of diagonals meet at right angles. That means that the labeled sides are the hypotenuse and 1 leg of a right angle triangle. You need to find the other leg by using the Pythagorean Theorem

a^2 + b^2 = c^2

a = 8

b = ?

c = 17

8^2 + b^2 = 17^2

64 + b^2 = 289                 Subtract 64

b^2 = 289-64

b^2 = 225                         Take the square root of both sides.

sqrt(b^) = sqrt(225)

b = 15

Find the area of 1 triangle

Area = 1/2 * a * b

a = 8

b = 15

Area = 1/2 * 8 * 15

Area = 60

Now find the area of 4 triangles.

4*60 = 240


Related Questions

Choose the correct answer from the given four options:In an AP if a = –7.2, d = 3.6, an = 7.2, then n

2

4

3

5​

Answers

Answer:

n=5

Step-by-step explanation:

by using

n=(an-a)/a+1

substituting values

n= 7.2-(-7.2)/3.6 +1

n=5

Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50° to the nearest foot the streetlamp is about

Answers

Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50° to the nearest foot the streetlamp is about  26 feet tall.

I hope this helps!

(6/11) to the power 2 answer pls

Answers

Step-by-step explanation:

in fraction it comes 36/121

and in decimal.it comes 0.3

Answer:

Step-by-step explanation:

6/11^2 = 6/11 * 6/11 = 36 / 121.

You cannot simplify 36/121

Which is true about this triangle?

Answers

Answer:

C=32°

because sum of three angles of triangles is 180°

Whose solution strategy would work?

Answers

Answer:

1452628383763637£838

Answer:

B

Step-by-step explanation:

Use the quadratic formula to find the solution to the quadratic equation given
below.
X^2-x+1/4=0

Answers

Answer:

[tex]\displaystyle x=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

x² + x + 1/4 = 0

↓ Compare to Standard Form

a = 1, b = 1, c = 1/4

Step 2: Solve for x

Substitute in variables [Quadratic Formula]:                                                  [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2 - 4(1)(\frac{1}{4})}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle x=\frac{-1 \pm \sqrt{1 - 4(1)(\frac{1}{4})}}{2(1)}[/tex][√Radical] Multiply:                                                                                           [tex]\displaystyle x=\frac{-1 \pm \sqrt{1 - 1}}{2(1)}[/tex][√Radical] Subtract:                                                                                          [tex]\displaystyle x=\frac{-1 \pm \sqrt{0}}{2(1)}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle x=\frac{-1 \pm 0}{2(1)}[/tex]Simplify:                                                                                                             [tex]\displaystyle x=\frac{-1}{2(1)}[/tex]Multiply:                                                                                                             [tex]\displaystyle x=\frac{-1}{2}[/tex]

Question 4 Multiple Choice Worth 4 points)
(01.02 LC)
What is the solution for the equation 6x - 8 = 4x?

Answers

Answer:

Algebra

Step-by-step explanation:

(+) it's the same thing btw6x -8 = 4x

(collect like terms) meaning the numbers with x go over the " = " sign

making it = -8 = 4x -6x

the signs change when it crosses over so it becomes that

-8 = -2x

-8 ÷ -2 = 4 (cause - ÷ by - is + )

A quadratic equation is shown below:

6x2 + 17x + 9 = 0

Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)

Part B: Solve 4x2 − 4x + 1 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

(10 points)

Answers

Answer:

x = -0.70,-2.212.

Step-by-step explanation:

(a) The quadratic equation is :

[tex]6x^2 + 17x + 9 = 0[/tex]

Here,

a = 6, b = 17, c = 9

Put all the values in the quadratic formula.

[tex]x=\dfrac{-17+\sqrt{17^2-4\times 6\times 9}}{2(6)},\dfrac{-17-\sqrt{17^2-4\times 6\times 9}}{2(6)}\\\\x=-0.70,-2.12[/tex]

So, the solution of the given equation are -0.70,-2.212.

(b) Equation is : [tex]4x^2 -4x + 1 = 0[/tex].

Here, a = 4, b = -4 and c = 1

So,

[tex]x=\dfrac{-(-4)+\sqrt{(-4)^2-4\times 4\times 1}}{2(4)},\dfrac{-(-4)-\sqrt{(-4)^2-4\times 4\times 1}}{2(4)}\\\\x=0.5,0.5[/tex]

Hence, this is the required solution.

hElP- please.
:) points!​

Answers

pretty sure the correct one is D !

the ratio of boys to girls is 4 :3,if there are 24boys and how many girls will be there?​

Answers

Answer:

There are 18 girls

Step-by-step explanation:

explanation given in the image

❣️◕Jess bregoli◕❣️

#keep learning!!

Explain how you can write a quadratic function in a factored form that would have a vertex with an x-coordinate of 3 and two distant roots

Answers

Answer:

Step-by-step explanation:

(x-3)²-4=0

(x-3)²=4=2²

x-3=±2

x=3±2

x=3-2,3+2

x=1,5

it has two distinct roots and a vertex at x=3

4. In the quadratic function y = 232 + ba + c, the
affects the width of the parabola.

Answers

Answer:

d am

Step-by-step explanation:

A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 6 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 57
people, maximum.
How many seats does the larger van have?

Answers

x is the seats in the small van.

y is the seats in the large van = (x + 6). Since the large has 6 more seats.

Since the 2 vans can transport 57 people.

Small van makes 2 trips = 2x.

Large van makes one trip = (x + 6).

2x + (x +6) = 57

2x + x + 6 = 57

3x + 6 = 57

3x = 57 -6

3x = 51

x = 51/3

x = 17.

The larger van has (x + 6) = (17 + 6) = 23.

The larger van has 23 seats.

Answer:

The larger van has 23 seats

Step-by-step explanation:

Create a system of Equations:

1. Define variables.

> let x=small van and y=larger van

2. create 2 equations based on the information given.

> y = 6 + x

> 2x + y = 57

3. Use any method to solve

Substitution: 2x + (6 + x) = 57. x=17

                      now plug x in to the original equation to solve for y (the larger van)

                      y = 6 + 17 and y = 23

Elimination: 2y = 12 + 2x

                     y = 57 - 2x

         3y = 69  and y = 23

A rectangular living room has a perimeter of 30 meters. Its area is 50 square meters. What are the dimensions of the living room?

Answers

Answer:

The one of (L,b)= (5m, 10m) is the only correct answer.

Step-by-step explanation:

P= 2(L+b)

A= L×b

make b subject of formula in area we have;

b= A/L

in perimeter; p= 2(L +(A/L))

p= (L²+A)/L

pL= L²+A

L²-pL+A= 0

L²-30L+50=0

L²-25L-5L+50=0

L(L-25)-5(L-25)=0

(L-5)(L-25)= 0

L= 5 or 25m

substitute in A

50= 5b or 50= 25b

b= 10 or 2m

Solve the qn in attachment .​

Answers

Answer:

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Step-by-step explanation:

The given expression to us is ,

[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]

Now take the LCM as ( x - 1 ) and Simplify , we have ,

[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]

Simplifying further , we get ,

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Hence the second option is correct.

Answer:

[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1)}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2} \\ \frac{ - 4x + 7}{2(x - 1)} \\ option \: b \: is \: your \: answer \\ thank \: you[/tex]

Factor 12y^2 + 5y -2 completely

Answers

Answer: (4x-1)(3x+2)

Step-by-step explanation:

do u know how to factor?

Answer: (4y - 1)(3y + 2)

Step-by-step explanation:

[tex]12y^{2} +5y-2\\=(4y - 1)(3y + 2)[/tex]

You can also do it the long way using the quadratic formula:[tex]\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex], where a = 12, b = 5, and c = -2.

Hey there I need some assistance need on this problem. What do I mean by checkpoints and how am I supposed to find the y-intercept and the slope from the given values?​

Answers

Slope Formula: y2 - y1 / x2 - x1

(m and slope represent the same quantity)

m = 1 - - 5 / -4 - 0

m = 1 + 5 / -4

m = 6 / -4

m = -3/2

Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).

y = -3/2x + b

1 = -3/2(-4) + b

1 = 6 + b

b = -5

In point form, the y-intercept is (0, -5).

Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.

Equation: y = -3/2 x - 5

To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.

-14 = -3/2(-6) - 5

-14 = 9 - 5

-14 = 4

-14 does not equal 4, therefore the point is NOT on the line.

Hope this helps!

What is the best description for the graph below

Answers

Answer:

B. The graph decreases everywhere

Step-by-step explanation:

We see a graph going down as x-value increases.

It is not increasing (line shod go up) or constant (horizontal) graph..

Correct choice is B

Answer:

The graph decreases everywhere.

Step-by-step explanation:

As we view the graph, in the x - axis from 0 to 9 the line has came down (decreased). So, we can say that the graph decreases everywhere.

____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three​

Answers

278, 538 is the answer

Answer:

275 128

Step-by-step explanation:

You have to subtract 3455 from two hundred seventy eight thousand five hundred eighty three(278 583) so you will get the answer 275 128.

278 583-3455=275 128

I'm sure with this answer

to make sure you can add 3455 to 275 128 and you will get the answer as 278 583

How do I simplify the expression

Answers

ANSWER: ab√3ac

Is this enough for you ?

What is the interval of increase f(x)=3x^2-6x

Answers

Answer:

F(g(×)1=3(6+2)-5=18×+6-5=18×+1

Step-by-step explanation:

so correct answer is the last one pa brainliest plss

someone help me please with this algebra homework

Answers

Answer: second choice!

Step-by-step explanation:

If P(2, p) is the mid point of the line segment joining the points A(6, -5) and B(-2, 11), find the value of p.

Answers

Answer:

p = 3

Step-by-step explanation:

Applying,

mid point of A and B is

P = [(x₁+x₂)/2,(y₁+y₂)/2]............... Equation 1

From the question,

Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11

Substitute these values into equation 1

P = [(6-2)/2,(-5+11)/2)

P = (2,3)

comparing,

P(2,p) to (4,3)

Therefore,

p = 3

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

-4 and 2

Step-by-step explanation:

The exact numbers of that position is -4 and 2

Elana runs for 28 seconds and finishes at 250 meters .what is her velocity

Answers

Answer:

8.9m/s

Step-by-step explanation:

Time= 28s

Displacement= 250m

Velocity=?

Velocity (v) = displacement (d)/ Time (t)

V= 250/28

V=8.9m/s

OR YOU CAN APPROXIMATE IT

V=8.928

YOU CAN APPROXIMATE IT TO

V=8.93m/s

solve the logarithmic equation
[tex] log_{3} {x}^{2} - log_{3}(x + 6) = 1[/tex]

Answers

Answer:

Step-by-step explanation:

Using log(x) - log(y) = log (x/y)

logx^2 - log(x+6) = 1 is equal to:

log (x^2/(x+6)) = 1

Taking inverse base 3 log on both side:

x^2/(x+6) = 3

x^2 = 3x + 18

x^2 - 3x - 18 = 0

(x-6)(x+3) = 0

x = 6 or -3

Answer:

Step-by-step explanation:

1 = base 3log3

substitute

logx^2-log(x+6) = log3

logx^2 - log(x+6) - log3 = 0

log( (x^2/(x+6))/3 ) = 0

anti-log

x^2/3(x+6) = 1

x^2 = 3(x+6)

x^2-3x-18=0

x=6 n -3

anti-log base 3 on both sides:


8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200
cubic kilometers, what is the height?

Answers

Hi there!

[tex]\large\boxed{h = 10km}[/tex]

We know that the equation for the volume of a pyramid is:

V = 1/3(bh)

We know that:

V = 200 km³

b = 12 × 5 = 60 km²

We can plug these into the equation:

200 = 1/3(60)(h)

Simplify:

200 = 20h

Divide both sides by 20:

200/20 = 20h/20

h = 10 km

What is a set ? Give an example of a set .​

Answers

Answer: 24

Step-by-step explanation:

Use the drop-down menus to choose the correct locations on the number line.
Point B is located at
The two points that are opposite are
>
Point D is located at
v is one tick mark to the left of point A.

Answers

Answer:

i) Point B is located at 0.

ii) The two points that are opposite are 5 / 5 and 10 / -5 and 5 / 5, 10 and -5, -10.

iii) Point D is located at 35.

iv) -20 is one tick mark to the left of point A.

Dora travels between the two mile markers shown and then finds her average speed in miles per hour. Select the three equations that represent this situation.

Answers

The image of the 2 mile markers is missing as well as the options and so i have attached them.

Answer:

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Step-by-step explanation:

From the image attached, the distance of the first mile marker is given as 50 miles while the distance of the second mile marker is given as 155 miles.

Thus, difference in distance between the two markers; d = 155 - 50 = 105 miles

Also, we see that the time of first marker is 3 pm while the second marker is 4:30 pm.

Thus, difference in time = 4:30 - 3 = 1 hour 30 minutes or 1.5 hours.

We know that;

Speed = distance/time

Thus;

Speed = 105/1.5

Speed = 70 mph

Thus, the 3 equations that represent this situation from the options are;

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Answer:

1.5 hours = 105 miles/speed

Speed = 105 miles/1.5 hours

105 miles = 1.5 hours × speed

Step-by-step explanation:

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