the base of a triangle is 4 times the height. if the area is 338 square feet, then what is the height of the triangle in feet

Answers

Answer 1

Area of a triangle = 1/2 * b * h

b = base

h = height

We know:

h = x

b = 4x

Area = 338ft^2

Let's plug these numbers into the Area formula above.

338ft^2 = 1/2 * 4x * x

First, let's divide both sides by 1/2

676ft^2 = 4x * x

Let's simplify the right side.

676ft^2 = 4x^2

Take the sqrt of both sides.

26 = 2x

Divide each side by 2

13 = x

Remember, the height = x = 13 feet


Related Questions

what is 3/5 as a percent

Answers

Answer:60%

Step-by-step explanation:

3 divided by 5 ten times by 100 and you get 60%

PLEASE HELP
Twice a number n is at least 30

Answers

Answer: n = 15

Step-by-step explanation: 2x15 = 30

Answer:

15

Step-by-step explanation:

15 times 2 is 30. Therefore, 15 can be the correct answer!

Please mark me brainliest if I helped you! Thank you so much!

:)

Find the distance between the points (-3,-6) and (-3,-2)

Answers

Answer:

The answer is

4 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,-6) and (-3,-2)

The distance is

[tex]d = \sqrt{( { - 3 + 3})^{2} + ({ - 6 + 2})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

4 units

Hope this helps you

Answer: the answer is 4 units

Explanation: it is 4 units because since they are both on the x axis and 6 - 2 is equal to 4. It’s four units.




horizontal translation


reflection over the x-axis



reflection over the y-axis

Answers

Answer:

The correct option is;

Reflection over the y-axis

Step-by-step explanation:

An even function is a function that satisfies the following function equation;

f(x) = f(-x)

Therefore, for an even function, we have;

f(x) - f(-x) = 0

Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x

Therefore, the symmetry of an even function is about the y-axis

However, an odd function is a function that satisfies the following function equation;

f(-x) = -f(x)

Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;

f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).

Solve for x.
-2 (x + 1/4)+1=5
Enter your answer as a fraction in simplest form in the box.
X = ​

Answers

Answer:

[tex]x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]

11-3(a-2)=27 I NEED TO SHOW WORK HELP

Answers

Answer:

3.3 recurring

Step-by-step explanation:

1) expand bracket

11-3a+6=27

2)rearrange equation

11+6=27+3a

11+6-27=3a

17-27=3a

-10=3a

-10/3=a

a=3.3 recurring

Answer:

a= - [tex]\frac{10}{3}[/tex] or -3.33

Step-by-step explanation:

[tex]11-3(a-2)=27[/tex]

subtract 11 on both sides; 27-11=16

[tex]-3(a-2)=16[/tex]

divide both sides by -3

[tex](a-2)=-\frac{16}{3}[/tex]

add 2 on both sides

[tex]a=-\frac{16}{3} +2[/tex]

a=[tex]-\frac{10}{3}[/tex]

What is the solution of 3x + y = 9 and 3x - 5y = 15?
OA 1 = 10 y = -1
B.
r = g y = 1
10
C. I = -1. y = 5
OD. x = 1, y = 2
COICO

Answers

Step-by-step explanation:

3x + y = 9

3x − 5y = 15

Solve with elimination.  Subtract the second equation from the first.

6y = -6

y = -1

Plug into either equation to find x.

3x + -1 = 9

3x = 10

x = 10/3

HELP!!! Need help with my home work!

Answers

Answer:

xy - y^2/x

Step by step explanation:

PLEASE HELP!! Need help with my homework!

Answers

Answer:

Line segment: AD (without arrow)

Ray: BA (with one sided arrow)

Rays with common endpoint: AC and AD (with one sided arrow)

Intersection: AE (double sided arrow)

Collinear points: B, A, C

PLEASE MARK AS BRAINLIEST

An environmental study of a certain community suggests that t years from now, the average level of carbon monoxide in the air will be Q(t)=0.05t^2 + 0.1t + 3.4 parts per million. By approximately how much will the carbon monoxide lvel change during the coming 6 months?

Answers

Answer:

3.4625

Step-by-step explanation:

Given the equation:

Q(t)=0.05t^2 + 0.1t + 3.4 parts per million

Where t = time in years

By approximately how much will the carbon monoxide lvel change during the coming 6 months?

t = 6 months = 6/12 = 0.5 year

Q(0.5) = 0.05(0.5)^2 + 0.1(0.5) + 3.4 parts per million

Q(0.5) = 0.05(0.25) + 0.05 + 3.4

Q(0.5) = 0.0125 + 0.05 + 3.4

Q = 3.4625

Carbon monoxide level will change by approximately 3.4625 parts per million in 6 months

What is 3/8-2 what does it equal

Answers

Answer:

the answer would be -1 5/8 in fraction form and -1.625 in decimal form

Answer:

-13/8

Step-by-step explanation:

2 = 16/8

3/8-16/8 = -13/8

Simplify the expression. (5x^3+4x^2+6x-3)+(-2x^3+3x^2-7x+9)-(5x+3)(4x^2+x-1)

Answers

Answer:

-17x³-10x²+x+9

Step-by-step explanation:

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(5x+3)(4x²+x-1)

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(20x³+5x²-5x+12x²+3x-3)

(3x³+7x²-x+6)-(20x³+17x²-2x-3)

-17x³-10x²+x+9

Quick I need help, it states what polygon is shown by the street sign

Answers

I’m pretty sure it’s just asking what shape each sign is.

One way is a rectangle
I can’t tell if the do not enter is a circle or square... maybe you can see it better
Stop is an octagon
etc...

MY NOTES
ASK YOU
A table of solutions for a linear equation is given below. From the table, determine the x-intercept and the y-intercept of the graph of the equation
x-intercept
(x, y) =(
y-intercept
(x, y) =
х
y
-6
0
(x, y)
(-6, 0)
(-3, 4)
(0,8)
-3
4
0
8

Answers

Yes x y 1.24 b to the point of a game that is a little hard to get x y to the point

Factorise Fully x^2 + x

Answers

Answer:

X(x+1)

Step-by-step explanation:

If it is wrong I'm sorry.

Leora had some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wallet before she bought the groceries?
$24.93
$35.93
$45.41
$62.17

Answers

Answer:

62.17

Step-by-step explanation:

you add 18.62 to 43.55 and get 62.17.

hope this helps.

Answer:

62.17 boom

Step-by-step explanation:

If B is between A and C, and AB = x and BC = 12, and AC = 25, then find the value of AB.
AB = ?

Answers


AB=12 because it is half of it

what is the expression equivalent to 5(6+4)​

Answers

Answer:

2(15+10)

Step-by-step explanation:

when you multiply the integers by 5 you get 30 + 20 so you just divide them by 10.

Answer
50
How to get it
So start to add in the parenthesis 6+4 is 10
Then erase the parentheses since we got the answer but turn it into an multiplication sign
5 times 10 is 50
Hope this helped :)

10. Use Structure What could be a first step to
solving the equation 3x + -0.5(x + 3) + 4 = 14?
Explain.

Answers

First distribute -0.5 to x and 3 giving you the new equation 3x + -0.5x-1.5

Sita Rahim drove due north for 3 hours at 46 miles per hour. From the
same spot, Yasmina Young drove due south for 2 hours at 43 miles per
hour. How far apart were they after their trip?

Answers

Answer:

224 miles

Step-by-step explanation:

What you would do is take the 3 hours times the 46 mph to get 138 miles.

3*46=138

Next, multiply the 2 hours by the 43 mph to get 86 miles.

2*43=86

Lastly, you're going to add the two.

138+86=224 miles.

You have 2.5 pounds of egg whites
You need 37 ounces to make one serving of consommé
How many servings can you make?

Answers

You can only make 1 serving, because 2.5 pounds equals 40 ounces and you need 37 ounces to make 1 serving.

Lupe has 500 Mexican pesos. If 1 U.S. dollar equals 12.87333 pesos, about how many dollars can Lupe buy for her pesos?

Answers

Answer:

the answer is C. $38.84

Step-by-step explanation:

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

Answers

Answer:

4

Step-by-step explanation:

f(g(x)) = 3(x-2) + 10

f(g(0)) = 3x - 6 + 10

f(g(0)) = 3(0) - 6 + 10

f(g(0)) = 0 - 6 + 10

f(g(0)) = 4

Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7x+8 d) y=-1/7x+1

Answers

Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:

-1/7

So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.

7 = -1/7(7) + b

Simplify the right side

7 = -1 + b

Add 1 to both sides

8 = b

The equation of the perpendicular line is:

y = -1/7x + 8

Solve the inequality. 6x + 14 > 20
???????

Answers

Answer:

x > 1

Step-by-step explanation:

6x + 14 > 20

      -14    -14

6x > 6

/6    /6

x>1

What is the quotient?
5^-6
5^3

Answers

Step-by-step explanation:

1/5^(3+6)= 1/5^9

the solution

Step-by-step explanation:

1/5^(3+6)=1/5^9

the solution

h(x)= -x^2+3x for h(-3)

Answers

i believe the answer is -18.

Brian saw 106 birds and half as many squirrels. Which of the following is a good estimation of how many more birds he saw than squirrels?

Answers

Answer:

53

Step-by-step explanation:

Ivan sold 51 boxes of oranges on Friday and 29 boxes on Saturday during a citrus sale. There were 10 oranges in each box. How many oranges did he sell in all??

Answers

Answer:

800 oranges

Step-by-step explanation:

51 x 10 = 510

29 x 10 = 290

510 + 290 = 800

9(x +3) = 4x -3 cant figure it out

Answers

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]9\left(x+3\right)=4x-3[/tex]

Expand:

[tex]9x+9\times3=4x-3[/tex]

[tex]9x+27=4x-3[/tex]

Subtract 27 from both sides:

[tex]9x+27-27=4x-3-27[/tex]

[tex]9x=4x-30[/tex]

Subtract 4x from both sides:

[tex]9x-4x=4x-30-4x[/tex]

[tex]5x=-30[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5}=\frac{-30}{5}[/tex]

[tex]x=-6[/tex]

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