The base of a triangular piece of fabric is 6 in more than the height. The area is 600 in2. Find the base and height of the triangle

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

Let the height be h in.

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

= 1/2 * (h + 6) * h = 600

Multiply both sides by 2:

h(h + 6) = 1200

h^2 + 6h = 1200

(h + 3)^2 - 9 = 1200

(h + 3)^2 = 1209

h + 3 = +/- sqrt(1209

h = -3 +/-sqrt(1209)

  = 31.77 in  (we ignore the negative root).

So, the height is 31.77 in and the base is 37.77 in


Related Questions

Complete the equation using an area model 6 3/4 x 3 2/5=

Answers

Answer:

22.95

Step-by-step explanation:

Need help if you have the time and i need explanation for this (NO LINKS PLS)

Answers

Answer:

ask ur question i will try to help

Step-by-step explanation:

Hannah invested $96,000 in an account paying an interest rate of 6\tfrac{1}{2}6 2 1 ​ % compounded quarterly. Evelyn invested $96,000 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 ​ % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Evelyn's money to double than for Hannah's money to double?

Answers

Answer:

.37 years

Step-by-step explanation:

I did this one in delta math

Someone please help

Answers

Answer:

m= -1

Step-by-step explanation:

A mirror has a parabolic surface defined by the equation y =¹⁄₂₄ x² with the vertex (0, 0) at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y, of the mirror?
A.) ¹⁄₃₆ in.
B.) ⅙ in.
C.) ⅔ in.
D.) 2⅔ in.

Answers

Answer:

ITS C: 2/3 in.

Step-by-step explanation:

edg 21 ^u^

PLS HELP WILL GIVE BRAINLIEST

Answers

Answer:

32 percent

Step-by-step explanation:

8,000×400÷100

If you multiply four times the sum of my number and 2,
you get 28. What's my number?

Answers

Answer:

5

Step-by-step explanation:

5+2 = 7

7x4 = 28

What number does point A represent???

Answers

Answer:

1 1/2

Step-by-step explanation:

Will give brainliest

Find the lateral surface area of
the following cylinder:
3 cm
3 cm
LSA = [ ? ]i cm2
Leave your answer in terms of ri.
Enter the number that goes in the green box.

Answers

Answer:

18

Step-by-step explanation:

Given,

Radius of the cylinder = 3cm

Height of the cylinder = 3cm

Therefore,

Lateral surface area of the cylinder

[tex] = 2\pi rh[/tex]

[tex] = 2\pi \times 3 \times 3 {cm}^{2} [/tex]

[tex] = 2\pi \times 9 {cm}^{2} [/tex]

[tex] = 18\pi {cm}^{2} [/tex]

Hence,

The required value in the green box will be 18 (Ans)

Answer:

18 pi

Step-by-step explanation:

hop this helps

I need this today plz help

Answers

Answer:

the answer is either A or C

Step-by-step explanation:

I'm not sure if it's going from Triangle O to Triangle N

Or if its going from Triangle N to  O

i think it is choice


C
answer explanation:;
is c

What is the length of FG?
(Picture of Question Below!)

A. 1.2
B. 3
C. 3.6
D. 4 ( IT IS NOT D!)
E. 6

Answers

9514 1404 393

Answer:

  C.  3.6

Step-by-step explanation:

AC = FA + FC = 4+6 = 10

AC is the hypotenuse of right triangle ABC, which has leg BC = 8. Then the length of AB is given by the Pythagorean theorem as ...

  AB² +BC² = AC²

  AB = √(10² -8²) = 6

The side lengths of these similar triangles are proportional, so you have ...

  FG/FC = AB/AC

  FG = FC(AB/AC) = 6(6/10)

  FG = 3.6

The vertex of this parabola is at (2,-4). When the x value is 3, the y value is -1. What is the coefficient of the squared expression in the parabolas equation?
A.1
B.-2
C.5
D.3

Answers

Answer:

the coefficient of the squared expression in the parabolas equation: D. 3

Step-by-step explanation:

y = a (x-h)² + k        parabola equation

y=-1 and x=3    vertex(h,k): (2,-4)

-1 = a * (3-2)² + (-4)

-1 = a - 4

a = -1 + 4 = 3

equation: y = 3 * (x-2)² -4

Answer:

d !

Step-by-step explanation:

EASY MATH QUESTION

the original price of a soccer ball is $25.00. if the soccer ball is discounted 25%, what is the new price?

Answers

Answer:

18.75 is the new price

Which number has a greater value than |-2.6|?
A. -2.9
B. -|7|
C. -2.6
D. |-6|

Answers

Answer:

B (7)

Step-by-step explanation:

If you put a number in absolute value bars,

B which is right because it is

-x+4=-9 help me please

Answers

Answer:

-13 = x

Step-by-step explanation:

:))

Answer: x = 13

Step-by-step explanation:

First subtract -4 on both sides because your adding by 4

-x + 4 = -9

    -  4    -4

The 4 - 4 cancels out

So, -9 - 4 is -13

Then we change the sign because we cannot leave x negative.

-x = -13

x = 13  

A survey found that 20% of the people in Fiji drive the car without seatbelt. If 3 people are randomly selected, find the probability that at least 2 drive without seat.

Answers

Answer:

0.104 = 10.4% probability that at least 2 drive without a seatbelt.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they drive without a seatbelt, or they do not. The probability of a person driving without a seatbelt is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of the people in Fiji drive the car without seatbelt.

This means that [tex]p = 0.2[/tex]

3 people are randomly selected

This means that [tex]n = 3[/tex]

Find the probability that at least 2 drive without a seatbelt?

This is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{3,2}.(0.2)^{2}.(0.8)^{1} = 0.096[/tex]

[tex]P(X = 3) = C_{3,3}.(0.2)^{3}.(0.8)^{0} = 0.008[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) = 0.096 + 0.008 = 0.104[/tex]

0.104 = 10.4% probability that at least 2 drive without a seatbelt.

giving out brainliest answer !!!! help me out asap please !!!!

Answers

Answer:

Not 100% sure, but its either 28 or 90, Sorry if i messed you up.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

SOH-CAH-TOA

I used this and chose 2 sides, I chose 15 and 8, ill show you with a pic...

I then put it in the calculator and then got my answer rounded it and I added 90+62= 152    180-152= 28 degrees

If this doesnt make sense tell me Ill try to explain it better.    

So basically I want to know how many copies of 1 twelfth are equivalent to 3 sixths.

Answers

Answer:

We have seen in the above example that 12, 24 and 48 are equivalent fractions. Therefore, 12 can

PLS HELP TIMEDDDDDD I NEED HELP

Answers

Answer:

Option 3:  81 pi cu. in

Step-by-step explanation:

Solve for x using
cross multiplication.
4x - 4
4x - 4
7
x + 3
x = [?]

Answers

answer is 1
x=1 hope this helps

Answer:

x = 29

Step-by-step explanation:

Multiply both sides by 7:

[tex]4x-4=\frac{7x+21}{2}[/tex]

Multiply both sides by 2:

[tex]8x-8 = 7x+21[/tex]

Subtract 7x from both sides:

[tex]x-8=21[/tex]

Add 8 to both sides

[tex]x=29[/tex]

I need help understanding these problems.

Answers

Answer: 7. x= 26, 9. x=11/y=3

Step-by-step explanation: Sorry for the terrible photo quality. Comment if you need more help : )

So, for the first examples given set all of the equations as equal to the other angle equation given.For problems like number 9, solve for the x's first (or whichever variable there's more of) you should solve for the x's like you did for the first problem, then set the equation to an A+B=180 format. The reason for this is two angles (in some cases more) on a straight line together will always equal 180 degrees.     For 10. set the equations with x in them to that A+B=180 format. Then once you've found x plug it into 6x-7. When you have that answer set 8y+17 equal to the answer you got and solve for y.For 11 and 12. These ones can be a bit more complicated because of their visual appearance, however you just need to combine the earlier steps taken to solve the first couple of equations.  Beginning with 12. If you ever see a Z pattern, know that the sides facing > and < ( the inside angles of the Z) are equal to each other. So you set the equations with x equal to each other, and once you get x plug it into the equation inside of the triangle. Since you've already been given 90, set the equation up like this: 43+90+(7y-20)=180. Because all the angles in a triangle are equal to 180 degrees. Then just solve for y. y=9Lastly for number 11.  This one is by-far the hardest of all of them. You have to adjust how you look at the problem. You'll see that if you add (3x+49) it's actually congruent to (7x-23). once you figure out x you should then plug x into 3x giving you 54. The set up the equation like this 11y-1=54. That will give you y=5.

if <a is 89.5, what is the measure of its complementary angle?​

Answers

Answer:

The complement of an angle is what, when added to it, equals 90 degrees (90°). For example, in your problem, 90°-85°=5°. This means that the complement of 85° is 5°, since they add up to equal 90 degrees a right angle.

The supplement of an angle is what, when added to it, equals 180 degrees.

For example, in your problem, 180°-85°=95°. This means that the supplement of 85° is 95°, since they add up to equal 180 degrees a straight angle.

Simplify the expression.

4y + 3( y+1) + 2 (x + 5)

Answers

Answer:

4y + 5x + 13

Step-by-step explanation:

4y + 3(y + 1) + 2(x+5)

Distribute

4y + 3y + (3 x 1) + 2x + (2 x 5)

4y + 3y + 3 + 2x + 10

Combine like terms

4y + 5x + 13

ILL GIVE BRAINLEST, find the value of x

Answers

Answer:

x=90 degrees

Step-by-step explanation:

It is a right corner. Please give branliest

what's a rational number between 13 and 21

Answers

Answer:

21

Step-by-step explanation:


1) When Samuel goes to school, he has to walk 480 yards east of his house and then 360 yards south to arrive to his school. How far does he have to walk to get to school from his house? If he decides that he will cut his distance by going across a park directly from his house to school how far will he have to walk? By how much is it shorter to go across the park then going around the park?

In your picture, you should have the house, the school, the path from the house to school around the park and path from the house to school across the park. Label the path around the park with their values. Label the path across the park with a variable. The path across the park and the path around the park form a right triangle with the right angle between the two parts of the path around the park. Label the right angle. Since the paths form a right triangle, you can use Pythagorean theorem to find the distance from the house to school across the park. The general Pythagorean formula is a2 + b2 = c2 where a and b represent the legs and c represents the hypotenuse.

Once you find the distance, find out the total distance Samuel has to travel around the park. Then you will be able to find out by how much farther it to go around the park.


2) A 100 feet tower needs an anchor line. For the tower to be stable, the anchor line has to be attached to the top of the tower with its other end on the ground 32 feet from the tower. How long has to be the anchor line for the tower to be stable?

Sketch the picture of the tower, the anchor line and the distance from the tower. You will form a right triangle with the right angle between the tower and the ground. Label the height of the tower and the distance from the tower. Label the length of the anchor line with a variable. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1.


3) You want to buy a new tv. In a store, you see a tv that you like with a diagonal of 20 inches and length of 16 inches. Will this tv fit on a shelf that is 13 inches high?

Sketch the picture of the frame of the tv. Draw the diagonal of the tv. Label the diagonal and the length of the tv. To find out if the tv fits on the shelf, you will have to find the height of the tv. The diagonal of the tv and its length and height form a right triangle with the right angle between the length and the height of the tv. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1. Once you find the height of the tv, explain whether it will fit on the shelf or not and why.

Answers

Answer:

3 i think??

Step-by-step explanation:

is this a function? please explain if possible...​

Answers

It is a function. Every x value is different.

pls help!
find the area

Answers

Answer:

Area of circle = πr²

22/7*11*11

2662/7

380.13 in² is your answer ☺️☺️☺️

Can someone help me with this?

Answers

Answer:

do you still need help?

Step-by-step explanation:

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

oh, easy it’s 25:)

Step-by-step explanation:

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