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3 years ago

Calculate area of triangle

Mathematics

2 answers:

nexus9112 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

8x15=120

120/2=60

Radda [10]3 years ago

3 0

Answer:

60cm^2

Step-by-step explanation:

15 times 8 = 120

divided by 2 = 60

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nikklg [1K]

Answer:

-9 and 2 are the like terms

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3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 7x6, y

IgorC [24]

Answer:

The volume is $\frac{490\pi}{39}$ cubic units.

Step-by-step explanation:

The given curve is

$y=7x^6$

The given line is

$y=7x$

Equate both the functions to find the intersection point of both line and curve.

$7x^6=7x$

$7x^6-7x=0$

$7x(x^5-1)=0$

$7x=0\rightarrow x=0$

$x^5-1=0\rightarrow x=1$

According to washer method:

$V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx$

Using washer method, where a=0 and b=1, we get

$V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx$

$V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx$

$V=49\pi \int_{0}^{1}[x^2-x^{12}]dx$

$V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1$

$V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]$

$V=49\pi [\frac{1}{3}-\frac{1}{13}]$

$V=49\pi (\frac{13-3}{39})$

$V=49\pi (\frac{10}{39})$

$V=\frac{490\pi}{39}$

Therefore the volume is $\frac{490\pi}{39}$ cubic units.

5 0

3 years ago

A boat that is 2 miles offshore from a lighthouse is moving parallel to the coast. The light on the lighthouse is turning at the

Papessa [141]

Answer:

speed of light movement when boat is 1 mile from light house is 0.029 miles/sec

Step-by-step explanation:

Given data:

distance of boat from light house is 2 miles

rate of turning of light is 100 degree per minute

w = 100 degree/min

$w = 100 \times \frac{\pi}{180} rad/min$

w = 1.745 rad/min

w = 0.0290 rad/sec

speed of movement of light $v = w\times r$

$v = 0.029 \times 1 = 0.029 mile/sec$

thus speed of light movement when boat is 1 mile from light house is 0.029 miles/sec

4 0

3 years ago

Use any method to solve the equation. If necessary, round to the nearest hundredth.

vlada-n [284]

Here, in order to find the solutions to the quadratic equation - x² + x - 30 = 0, we will use factorization method.

In the method, we will split 30, in such factors, which when added or subtracted gives us 1, and when multiplied gives us -30.

So, we will use, -5 and 6. When they are added they will give us 1 and when multiplied they will give us -30 as answer.

Now, the equation will be written as -

x² - 5x + 6x - 30 = 0

Taking common, we get

x(x - 5) +6(x-5) = 0

(x-5)(x+6) = 0

So, x - 5 = 0 and x +6 = 0, we will get, x = 5 and x = - 6

<u>Thus, the correct option is C). x = 5 and -6</u>

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4 years ago

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Nat2105 [25]

48 minutes

I had the same question I got it right

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3 years ago