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3 years ago

Please help !! Use Pythagorean theorem :) and show your work if you can thanks :”) will give b

Mathematics

1 answer:

g100num [7]3 years ago

7 0

Answer:

$b=\sqrt{1575}$ ≈ 39.7ft

Step-by-step explanation:

The Pythagorean theorem:

$a^{2}+ b^{2}= c^{2}$

(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)

First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.

$45^{2}+ b^{2}= 60^{2}$

$2025+b^{2} =3600$

To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:

$b^{2} =1575$

$b=\sqrt{1575}$ ≈ 39.7ft

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The top tree broke and fell over.the remaining tree teunk is 3 feet tall.the tip of the tree rests on the ground 14 feet from th

Bas_tet [7]

Answer:

14.3 feet.

14.3 feet

Step-by-step explanation:

The problem forms a right triangle in which:

The Vertical Leg of the Right Triangle = 3 feet

The Horizontal Leg of the Right Triangle =14 feet

We are to determine the length of the broken part of the tree. This is the Hypotenuse of the Right Triangle,

Using Pythagoras Theorem

$Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=14^2+3^2\\Hypotenuse^2=205\\Hypotenuse=\sqrt{205}\\Hypotenuse=14.32\\ \approx 14.3 feet $(to the nearest tenth of a foot).\\Therefore, the lenght of the broken part of the tree to the nearest tenth of a foot is 14.3 feet.$

5 0

3 years ago

PLZ HELP!!! Use limits to evaluate the integral.

Marrrta [24]

Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:

$\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]$

Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

$r_i=\dfrac{2i}n$

where $1\le i\le n$ . Each interval has length $\Delta x_i=\frac{2-0}n=\frac2n$ .

At these sampling points, the function takes on values of

$f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}$

We approximate the integral with the Riemann sum:

$\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3$

Recall that

$\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4$

so that the sum reduces to

$\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}$

Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:

$\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}$

Just to check:

$\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28$

4 0

2 years ago

Write an equation for the line perpendicular to y=1/3x-2 and passing through the point (3,3)

maria [59]

line given slope = x coefficient = 1/3

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line slope (m) = -3

line equation formula = y = mx + b

y = -3x + b

from the point given

x = 3

y= 3

3 = -9 + b

b = 12

y = -3x + 12

6 0

2 years ago

30 ounces = ____lb ____oz

zzz [600]

The pounds is 1.875 I'm not sure about oz

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3 years ago

Read 2 more answers

Ted and Fred are the owners of a gas station. They invested $150,000 each and pay an employee named Lawrence $35,000 per year. T

Serjik [45]

Answer:

Ted and Fred

Step-by-step explanation:

As per the question,

Ted and Fred are the owners of a gas station that is they are the owner of their own firm.

As being the owner of their own company, they are the one who is responsible for their loss. That is the firm’s owners always suffer the firm’s risk.

Business Risk: Risk that a business will not be able to cover its operating costs.

So in this case, Lawrence is the employee and legally he is not responsible to suffer any kind of the loss.

So he must be paid his salary on time and in full whether or not the firm is running a profit, a loss, or just breaking even.

As being owner Ted and Fred are responsible to withstand the business risk.

Hence, the person who is legally responsible for bearing the $40,000 loss is Ted and Fred.

8 0

2 years ago