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3 years ago

How do you find the base of a triangle given the area and height?

Mathematics

1 answer:

pogonyaev3 years ago

4 0

You fist multiply the area by two. Then you divide that by the height.

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Help me please. mad confused lol

SCORPION-xisa [38]

Answer:

P = 30 degrees, PQ = 6.93, PN = 8

Step-by-step explanation:

For the angle, just subtract the angles you already know from 180, so 180 - 90 - 60= P. P = 30 degrees.

For PQ, use tan60 = x/4, or 4tan(60), which equals 6.93.

For PN, use cos60 = 4/x, or 4/cos60, which equals 8.

Hopefully this helps- let me know if you have any questions!

7 0

3 years ago

Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.

Bas_tet [7]

Answer:

The function touches the damping factor

at x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

The x-intercept of f(x) is

at x= $n\pi$

Step-by-step explanation:

Given function is f(x)= $e^{-3x} sin(x)$ and damping factor as y= $e^{-3x}$ and y= $(-1)e^{-3x}$

To find when function touches the damping factor:

For f(x)= $e^{-3x} sin(x)$ and y= $e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=e^{-3x}$

$sin(x)=1$

x= $\frac{(4n-3)\pi}{2}$

For f(x)= $e^{-3x} sin(x)$ and y= $(-1)e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=(-1)e^{-3x}$

$sin(x)=(-1)$

x= $\frac{(4n-1)\pi}{2}$

Therefore, The function touches the damping factor x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

To find x-intercept of f(x):

For x-intercept, y=0

f(x)= $e^{-3x} sin(x)$

y= $e^{-3x} sin(x)$

$e^{-3x} sin(x)=0$

Hence, $e^{-3x}$ is always greater than zero.

Therefore, $sin(x)=0$

x= $n\pi$

Thus,

The x-intercept of f(x) is at x= $n\pi$

7 0

3 years ago

James spent no more than $20 at the mall. Write an inequality to represent how much James spent.

zepelin [54]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Which of the following fractions will not have a repeating decimal?

hoa [83]

4/5, because to simplify a decimal, you can divide the numerator by the denominator. 4 divided by 5 is 0.8

4 0

3 years ago

Read 2 more answers

triangle STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than

maks197457 [2]

Answer:

The value of x = 12 and the measure of each side is 23 units.

Step-by-step explanation:

Given: STU is an equilateral triangle.

ST = 2x -1

SU = 5x - 37

TU = x + 11

Now, as Δ STU is an equilateral triangle, hence all the sides of the triangle are equal.

⇒ ST = SU = TU

or, 2x -1 = 5x - 37 = x + 11

Considering : 2x -1 = 5x - 37 , we get

-1 + 37 = 5x - 2x

or 3x = 36

or, x = 12

Considering : 5x - 37 = x + 11 , we get

5x -x = 11 + 37

or, 4x = 48 or, x = 12

Considering : x + 11 = 2x -1

or, 2x - 1 = x + 11

or, x = 12

hence, in all the cases value of x = 12

ST = 2x -1 = 2(12) -1 = 23 units

SU = 5x - 37= 5(12) -1 = 23 units

TU = x + 11 = 12 = 11 = 23 units

7 0

3 years ago