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Lisa [10]
3 years ago
7

Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian

gle. a = 240 b = 121 c = 263
Mathematics
1 answer:
Nataly [62]3 years ago
4 0
Look up "Heron's Formula."  First, calculate S; S = 312 here.
Next, calculate sqrt( S(S-240)(S-121)(S-263) ). 

The result is 14499.68, or approx. 14500 square units.  This represents the area of the triangle with given side lengths.

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A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A
Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and  D = distance from second base to the batter at  time t, then we know \frac{dx}{dt}=31 ft/s and we want \frac{dD}{dt} when he is halfway (at x = 45).

Using Pythagoras theorem

D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}

When x=45

D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}

2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s

Thus, when the batter is halfway to first base, the distance between second base and the batter is  decreasing at the rate of about 13.86 ft/sec.

4 0
3 years ago
When the results of experimentation or historical data are used to assign probability values, the method used to assign probabil
wel

Answer:

Relative Frequency Method

Step-by-step explanation:

If I carry out an experiment involving 25 throws of a coin and I obtain 13 Heads(H), the Relative Frequency of obtaining Heads will be 13/25.

Now if I intend to find out approximately how many Heads will

occur in 300 throws, I simply use the result or experimentation data that I have.

This is done below:

Relative Frequency of Obtaining a Head= 13/25 =0.52

Number of Heads obtained in 300 throws

= Relative Frequency X Number of Trials

=0.52 X 300

=156

This is an example of how relative frequency method works.

5 0
3 years ago
Helpppppp<br><br> giving brainliest
Fofino [41]

Answer:

6.25 lb and 100 oz

Step-by-step explanation:

One lb (Pound) is equal to 16 oz (Ounce). Therefore, 100 oz equals...

100 oz / 16 = 6.25 lb

and

100 oz = 100 oz

8 0
3 years ago
Claire is 2 year younger than her sister. The
natta225 [31]

Given:

Claire is 2 year younger than her sister.

The  sum of ages is no less than 44 years.

To find:

Inequality and find the youngest age Claire can  be.

Solution:

Let the age of Claire be x.

Her sister's age = x+2

Sum of their ages is no less than 44 years. It means the sum ages is greater than or equal to 44.

x+(x+2)\geq 44

2x+2\geq 44

2x\geq 44-2

2x\geq 42

Divide both sides by 2.

x\geq 21

It means, Claire age can be greater than or equal to 21. So, the youngest age Claire can  be 21 years old.

Therefore, the required inequality is  2x+2\geq 44 and the correct option is B.

4 0
3 years ago
The angle of elevation from a soccer ball on the ground to the ground to the top of the goal 34 degrees. If the goal is 8 ft tal
GarryVolchara [31]
Check the picture below.

make sure your calculator is in Degree mode.

6 0
3 years ago
Read 2 more answers
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