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2 years ago

Find the area of a triangle with a base of 14 ft and a height of 11 ft. A = bh/2)

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

7 0

Answer:

Step-by-step explanation:

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Please help me, will mark!!

BabaBlast [244]

Answer:

613 meters

Step-by-step explanation:

cos(50 degrees)=324/x

x*cos(50 degrees)=324

x=324/cos(50 degrees)

x=around 504.1

cos(35 degrees)=324/x

x*cos(35 degrees)=324

x=324/cos(35 degrees)

x=around 395.5

now lets find the distance in between the two people:

Distance from Shively to the tower

tan(50 degrees)=x/324

x=324*tan(50 degrees)

x= around 386.1

Distance from Sparzak to the tower

tan(35 degrees)=x/324

x=324*tan(35 degrees)

x=around 226.9

total distance=386.1+226.9=613 meters

8 0

3 years ago

Jackrabbits are capable of reaching speeds up to 40 mph. How fast is this in feet per second? (Round to the nearest whole number

Lerok [7]

Keeping in mind that there are 5280 ft in 1 mile, and there are 60 minutes in 1 hr and 60 seconds in 1 minute, therefore 60*60 seconds in 1 hr, or 3600 seconds, then.

$\bf \cfrac{40\underline{mi}}{\underline{hr}}\cdot \cfrac{5280ft}{\underline{mi}}\cdot \cfrac{\underline{hr}}{3600s}\implies \cfrac{40\cdot 5280}{3600}\cfrac{ft}{s}\implies \cfrac{176}{3}\implies 58.\overline{66}\frac{ft}{s}$

7 0

3 years ago

Write an equation in point-slope form of the line that passes through the point (7, -4) and has a slope of m=-6.

alekssr [168]

Answer:

(-4-y) = -6(7 - x)

Step-by-step explanation:

3 0

3 years ago

Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

3 years ago

What is the value of x?

Papessa [141]

The value of x is 2 because we can compare like terms

5 0

3 years ago