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qwelly [4]
3 years ago
14

What is the Area and perimeter of triangle HAB?

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

bearing in mind that there are 90 feet between each base in a baseball diamond, so the total perimeter of it will be 90*4 = 360, one third of that is 360/3 = 120.

So Jones went 120 feet first and then another and so on, check the picture below.

using those values, can get the length of those sides, using the pythagorean theorem.

\bf AH=\sqrt{HF^2+FA^2}\implies AH=\sqrt{9000} \\\\\\ AB=\sqrt{AS^2+SB^2}\implies AB=\sqrt{7200} \\\\\\ HB = AH = \sqrt{9000} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{perimeter}{\sqrt{9000}+\sqrt{7200}+\sqrt{7200}}\qquad \approx \qquad \stackrel{perimeter}{264.57}

now, we can plug those values in the Heron's Area Formula to get its area.

\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{9000}\\ b=\sqrt{7200}\\ c=\sqrt{7200}\\ s\approx 132.29 \end{cases} \\\\\\ A=\sqrt{132.29(132.29-\sqrt{9000})(132.29-\sqrt{7200})(132.29-\sqrt{7200})} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 3337.289~\hfill

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Hey all you math geniuses can you help me with this question that should be easy
kenny6666 [7]

Answer:

(B) \frac{-3}{x}

Step-by-step explanation:

A polynomial is the expression which consists of addition, subtraction, multiplication with any variables or constants but the division with a variable is not considered as a polynomial.

Since \frac{-3}{x} consists of division of -3 with a variable, therefore it is not a polynomial, rest all other options are polynomial as they involve addition,multiplication with variables.


7 0
3 years ago
On a drawing a triangle has sides that equal 4 cm, 5 cm, and 6 cm. If the scale of the drawing is 1 cm = 10 feet, find the sides
kodGreya [7K]
4 * 10 = 40
5 * 10 = 50
6 * 10 = 60

The side length of the original large triangle are 40 feet, 50 feet, and 60 feet.
4 0
3 years ago
Read 2 more answers
He variable y is directly proportional to the variable x . If y = 10 when x = 6, what is the value of y when x = 15?
Delicious77 [7]

Answer:

B. 25

Step-by-step explanation:

10+6=16

if it is proportional, then it would be 25 to get 15.

4 0
3 years ago
Read 2 more answers
1 PERFORMANCE - Essay
Amiraneli [1.4K]

Answer:

Thus the length = 230 and width = 90.

Step-by-step explanation:

Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less  than 3 times the width.

She has 320 feet of fencing.

Let the length of the rectangular fence be x and the width of the fence be y.

Then the relation between them is

x = 3y - 40

Also x + y = 320

Solving these equations,

320 - y = 3y - 40

4y = 360

y = 90

x = 230

Thus the length = 230 and width = 90.

7 0
3 years ago
Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9
Tpy6a [65]
ANSWER

D.
A=3,P=2\pi,PS=(4,9)

EXPLANATION

The given function is

f(x) = 3 \sin(x - 4) + 9

Comparing to the general form of a trigonometric sine function,

f(x) = A \sin(Bx-C)+D

A=3
The amplitude is absolute value of A

|A| = |3| = 3

B=1

The period is given by

p = \frac{2\pi}{ B}

p = \frac{2\pi}{ 1} = 2\pi

C=4

is a shift to the right of 4 units.

and

D=9

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D
6 0
3 years ago
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