GEOMETRY The area of a scalene triangle is 56 square meters. The base of the triangle is 2x - 6 meters, and the height of the triangle is
X - 4 meters. Find the base and height of the triangle.

Answers

Answer 1
I might be wrong but I solved it on paper and I got


B=82
H=40
Answer 2

The base and height of the triangle is 16 meters and 7 meters respectively.

What are Scalene Triangles?

Scalene triangles are triangles which has all three sides having different side lengths and the measure of all the three angles is different.

Given that,

Area of a scalene triangle = 56 square meter

Base of the triangle = 2x - 6 meters

Height of the triangle = x - 4 meters

The formula to find the area of a triangle is,

Area = [tex]\frac{1}{2}[/tex] × base × height

Substituting,

[tex]\frac{1}{2}[/tex] × (2x - 6) (x - 4) = 56

[tex]\frac{1}{2}[/tex] (2x² - 6x - 8x + 24) = 56

[tex]\frac{1}{2}[/tex] (2x² - 14x + 24) = 56

x² - 7x + 12 = 56

x² - 7x - 44 = 0

Factoring,

(x - 11) (x + 4) = 0

So, x = 11 or x = -4.

x = -4 is not possible, since the negative lengths are not possible.

So, x = 11

So base = 2x - 6 = 16 and height = x - 4 = 7

Hence the base and height are 16 and 7 respectively.

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Related Questions

im confused can someone help me

Answers

Hint:
Try using an online source to get the answer. Like a program.

Answer:

when you convert the fraction it will equal the amount you need

Step-by-step explanation:

You are creating a 25:1 scale model of our classroom and find that our classroom has a length of 30 feet. What is the length of the classroom wall in the scale model in inches?

Answers

Answer:

1.2 feet

Step-by-step explanation:

30 feet* 1/25 = 6/5 feet = 1.2 feet

what is solar installation ​

Answers

Answer:

They are actually panels, not installation. but it is an installation for downloading/installing.

Solar panels are devices engineers use that take the sunlight of the sun and turn it into electricity or heat.

Hope it helps!!!Brainliest pls!!!

Consider the Australian desert

(a) The Australian desert is 42.556% of the size of the Sahara desert in Africa, which has an area of 9.000.000km2
Find the area of the Australian desert.

(b) Dingo density is approximately 0.135 animals km-2 during the dry season. Find the approximate number of dingos in the Australian desert during this season.​

please help im so lost on it

Answers

a) The area of Australian desert is 3,830,040km²

b)The approximate number of dingos will be  517,055

How to calculate percentages of a value

a) Given the following parameters;

Area of Sahara desert = 9,000,000km²

If the Australian desert is 42.556% of the size of the Sahara desert in Africa, then the area of the Australian desert is expressed as:

Area of Australian desert = 0.42556 * 9,000,000

Area of Australian desert = 3,830,040km²

b) If dingo density is approximately 0.135 animals km² during the dry season, the approximate number of dingos in the Australian desert during this season. will be:

number of dingos =  0.135 * 3,830,040km²

number of dingos = 517,055.4

Hence the approximate number of dingos will be  517,055

Learn more on percentages here: https://brainly.com/question/24304697

Whoever answers first gets marked as Brainliest

Answers

Answer:

Step-by-step explanation:

(a - b)² + 4ab = a² + b² - 2ab + 4ab

Combine like terms

                    = a² + b² + 2ab

                    = (a +b)²

                    = (a +b)(a + b)

Helppppppp pleaseeee

Answers

Answer:

B

Step-by-step explanation:

[tex]E=\dfrac{1}{2}mv^{2}\\\\\\2E = mv^{2}\\\\\dfrac{2E}{m}=v^{2}\\\\\\\sqrt{\dfrac{2E}{m}}=v[/tex]

Jada flew home from vacation with a heavy bag. With the first airline she flew, jada had to pay $29 to check her bag, plus $4 for every pound that her bag was over the weight limit. The next flight was with another airline that had the same weight limit. Jada had to pay $11 per pound that her bag was over the weight limit, in addition to the checked bad fee of $15. By coincidence, the fees ended up being the same with both airlines. How far over weight limit was the bag? How large was each airlines fee?

Answers

Please reply if you meant check bag fee instead of checked bad fee but if it’s checked bag fee then check what I am doing below
So if it is going to be two simultaneous equations
$29+4(x)=y
$15+11(x)=y

But I
Am getting a negative answer so you can tell the source of this question to reframe the question

Last week Jeffrey played video games for 1 ½ hours each day from Monday to Saturday. He did not play on Sunday. His parents allow him to play for a maximum of 500 minutes per week. Did he stay within his limit?

Answers

Answer:No 500 minutes is about 8 hours, 1 1/2 hours for 6 days is 9 hours so no he did not stay in his limit

Step-by-step explanation:

NO LINKS. Part 1: Complete the sequence​

Answers

Answer:

a)  (6, 6)  and  (7, 4)

b)  [tex]t(n)=-2n+18[/tex]

c)  see attached

Step-by-step explanation:

From inspection of the table, we can see that as n increases by 2, t(n) decreases by 4.  Therefore, as this a directly proportional relationship, it is a linear function.

So as n increases by 1, t(n) will decrease by 2.

Therefore, the remaining two ordered pairs are:

(6, 6)

(7, 4)

We know that the function decreases by 2 each time n increases by 1, so the slope (gradient) of the linear function will be -2.

Using the point-slope formula:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point on the line)

Given:

[tex]m=-2[/tex][tex](x_1,y_1)=(1,16)[/tex]

[tex]\implies y-16=-2(x-1)[/tex]

[tex]\implies y=-2x+18[/tex]

[tex]\implies t(n)=-2n+18[/tex]

Graphing

To find the y-intercept, substitute [tex]n=0[/tex] into the equation:

[tex]\implies t(0)=-2(0)+18=18[/tex]

Therefore, the y-intercept is (0, 18)

To find where the line crosses the x-axis, set the equation to zero and solve for n:

[tex]\implies -2n+18=0[/tex]

[tex]\implies 2n=18[/tex]

[tex]\implies n=9[/tex]

Therefore, the line crosses the x-axis at (9, 0)

solve for x ~

[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou ~​

Answers

Answer:

[tex]\boxed{\tt x=3,2}[/tex]

Step-by-step explanation:

[tex]\tt x^2-5x+6=0[/tex]

Find two numbers that add up to -5 and multiply to 6: (-6 and -2)

Now, rewrite the expression:

[tex]\tt (x-3)(x-2)[/tex]

[tex]\tt (x-3)(x-2)=0[/tex]

Now, Solve for x:

1)

[tex]\tt x-3=0[/tex]

[tex]\tt x-3+3=0+3[/tex]

[tex]\boxed{\tt x=3}[/tex]

2)

[tex]\tt x-2=0[/tex]

[tex]\tt x-2+2=0+2[/tex]

[tex]\boxed{\tt x=2}[/tex]

~

What is the area of this figure

Answers

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(7)(6)}~~ + ~~\stackrel{rectangle}{(2)(4)}~~ + ~~\stackrel{rectangle}{(9)(7)}}\implies 21+8+63\implies 92[/tex]

PLS HELP!! SHOW STEPS. (50PTS.)

Answers

Answer:

See Below

Step-by-step explanation:

[tex] \cos 240 \degree \\ = \cos (180\degree + 60\degree ) \\ = \cos 180\degree \cos60\degree - \sin 180\degree \sin60\degree \\ = ( - 1) \times \frac{1}{2} - 0 \times \frac{ \sqrt{3} }{2} \\ = - \frac{1}{2} - 0 \\ \implies \: \huge \purple{ \cos 240 \degree = - \frac{1}{2} } \\ \\ \sin 240 \degree \\ = \sin (270\degree - 30\degree ) \\ = \sin 270\degree \cos 30\degree - \cos 270\degree \sin 30\degree \\ = ( - 1) \times \frac{ \sqrt{3} }{2} - 0 \times \frac{1 }{2} \\ = - \frac{ \sqrt{3} }{2} - 0 \\ \implies \: \huge \orange{ \sin 240 \degree = - \frac{ \sqrt{3} }{2} } [/tex]

In a particular environment there is plenty of food, water, cover, and space to support a large population of pheasants, but a larger quantity of predators are introduced. The predators become the _______ for pheasants in that environment. a. carrying capacity b. abiotic factor c. limiting factor d. biotic factor Please select the best answer from the choices provided A B C D

Answers

Answer:

The answer is c. the predators become the limiting factor for the pheasants in that environment.

Step-by-step explanation:

edg aswer

If the area of square 3 is 80 cm^2 and the area of square 2 is 100 cm^2, what is the area of square 1? HELP ASAP

Answers

Answer:

180 sq cm

Step-by-step explanation:

Square 1 formed on hypotenuse of the triangle, squares 2 and 3 are formed on the perpendicular legs of the triangle. Thus, by Pythagoras Theorem, A(square 1) will be equal to the sum of the areas of (square 2) and (square 3).

[tex]\implies A(square \:1) =A(square \:2)+A(square \:3) \\ \\ \implies \: A(square \:1) =100 + 80\\ \\ \implies \: A(square \:1) =180 \: {cm}^{2} [/tex]

94 divided by 4,552 its long division I need help

Answers

[MA]:

48 r 40

The explanation:

94 x 4 = 376

4,552 - 376 = (792 or ?)

94 x 8 = 752

792 - 752 = 40

94 is greater than 40 so we can't add anymore.

Thus, the answer is 48 r 40

Writer's note: I really hope this will help you.

[xArtsy]

hi guys can u help me thank u

Answers

Answer:

4

Step-by-step explanation:

Can i please get some help!!

Answers

Answer: A

Step-by-step explanation:

Question 1
Determine which pairs of polygons are similar.

Answers

The last one, as the the scale factor is 3. If we divide each side of the first triangle by their corresponding sides, such as (21/7, or 6/2), we get the same result, which is 3. All others are wrong because in the first one we are not giving all sides, and the second one doesn’t have the same scale factor for its sides. Hope this helps.

The axis of symmetry of a parabola is x = 6, and one point on the parabola is (2,8). What is the mirror point for the point (2,8)? Write your answer as an ordered pair using no spaces. For example, (4,5).

Answers

As the symmetry of axis is x=6, the mirror point of (2,8) will be (10,8)

I need help!!! Please help!!!

Answers

Which one you didn’t say the question.

How to solve 20r + -280

Answers

Answer:

20(r−14)

Step-by-step explanation:

Factor 20r−280

20r−280

=20(r−14)

[tex]5(7)\frac{1}{3} + 6 (7\frac{1}{3} )[/tex]

Answers

Creo que es así o no lo se solo se que se puede hacer de esa manera

Pls help with times tables if u click there will be a picture

Answers

Step-by-step explanation:

correct answer is 168.

hope this helps you.

Hey there!

56 × 3

= 56 + 56 + 56

= 112 + 56

= 168


Basically you had to multiply 6(3), which gave you 18, right? Okay, so you BRING DOWN your 8 and CARRY the 1 OVER your 5. Then you MULTIPLY 5(3), which is 15, right? Then you ADD 15 + 1, which is 16,right?

Thus, that’s why: [168] is most likely your result. (Look at the picture below for better steps )


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

what instrument is used in measuring angles a ruler be meter stick c protector d weighting scale​

Answers

Answer:

C. Protector

Step-by-Step Explanation

Protractors look like this

and are used to measure angles

Julia paid 15% of her monthly salary of $3500 in taxes. How much of her salary did she have left after taxes?

Answers

Answer:

$2,975

Step-by-step explanation:

3,500 x 15% = 525

3,500 - 525 = $2,975

she has $2,975 left after taxes.

What is the diameter of a sphere with a volume of 18174 ft 3 , 18174 ft 3 , to the nearest tenth of a foot?

Answers

Answer

The diameter of the sphere is 32.6ft.

Step-by-step explanation:

mark me brainliest!!

1. Planet fitness is offering membership $10 per month. They are
also offering a one time fee of $99.99 per year. How much money
will Liz save by purchasing the one year membership if she plans
on going to the gym for a year?

Answers

Yes, 10$ a month would result in 120$ a year whereas $99.99 would allow her to save 20.01$

Carl has already earned $60 mowing lawns. He earns $15 per lawn. He needs at least $115 for a new string trimmer. Write and solve an inequality to determine how many more lawns Carl will need to mow to have at least $115.
A. at least 3 lawns
B. no more than 4 lawns
C. at least 4 lawns
D. at least 5 lawns

Answers

Answer:

B

Step-by-step explanation:

60+15w≥115

-60      -60

15w≥55

w≥4  

60+15(4)≥115

60+60≥115

Solve the equation by factoring.
3x^2 - 7x + 4 = 0

Answers

Answer:

[tex]x = 1, \frac{4}{3}[/tex]

Step-by-step explanation:

Factor and set each factor equal to 0

Hope it helps!!!Brainliest pls!!!

jerome measures the length of 40 ropes and uses a line plot to organize his data. how many more ropes are there that are 3/8 yard long or greater than ropes that are less than 3/8 yard long?​

Answers

There are 15 ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long

What is a line plot?

A Line plot (dot plots) is a graph or plot that displays on a number line, showing the frequency of each value.

From the image showing the line plot below:

Number of ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long = 5 + 4 + 6 = 15

There are 15 ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long

Find out more on line plot at: https://brainly.com/question/3807925

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