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3 years ago

Using the Pythagorean method solve the problem and find the area of the triangle

Mathematics

1 answer:

denis-greek [22]3 years ago

8 0

Answer:pythagoream theorem applies to right angle triangle.

Formula

C^2= a^2 + b^ 2

Where a&b are the two sides of the triangle so we need to find side c.

C^2 = 35.42^2+ 21.64^2

C^2 = 1254.57 + 468.29

C^2 = 1722.86

C = square root of 1722.86

C= 41.51m

Area of triangle

A = ab/2

A = 35.42 x 21.64/2

A = 383.24.

Step-by-step explanation:

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Will give brainliest, please help

Rus_ich [418]

Answer:

Step-by-step explanation:

A triangle always consists of it being 180 degrees. The box on the triangle on angle A depicts that it is a right angle, 90 degrees. And since Angle B is given at 45, angle C must be 45 degrees as well, since 180-45-90 (triangle angles=given angles for A and B) equal up to 45. When the angles beside the right angle is both identical and the same, the sides that correspond with that triangle is also the same. AC is given at 9 feet, and since Angle C and B both have the same angles, AB must ALSO be a 9ft.

Now, since we know the two sides, it is very easy to find BC, or the hypotenuse of the triangle, using the Pythagorean Theorem: $a^{2} +b^{2} =c^{2}$ , where a and b are sides, and c is the hypotenuse (or the long end) of a right triangle.

We can plug both 9s in for a and b since they're both the same, and it should equal to

9^2+9^2=c^2.

9^2 is 9*9, and that is 81. We have two of these so add them together to find 162. Since c^2 is equal to 162, we would need to square root both sides so we can find a number that equals c.

$\sqrt{162} =c$

We can either plug this into a calculator, and we should get something around 12.72, and that would be the same as C if you plug that value into a calculator.

You can also simplify the radical if you know how to. 162 is 81 times 2 (example) and 81 is 9*9, so we can add that to the outside and 2 is still under the radical. But this would only make sense if you know how to do that.

6 0

3 years ago

PLEASE HELP HELPPPPPPO HELPPPPPPO

bezimeni [28]

Step-by-step explanation:

Remember that in a linear function of the form $f(x)=mx+b$ , $m$ is the slope and $b$ is the why intercept.

Part A. Since $g(x)=2x+6$ , its slope is 2 and its y-intercept is 6

Now, to find the slope of $f(x)$ we are using the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

where

$m$ is the slope

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

From the table the first point is (-1, -12) and the second point is (0, -6)

Replacing values:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-6--(12)}{0-(-1)}$

$m=\frac{-6+12}{0+1}$

$m=6$

The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).

Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table $f(x)=-6$ when $x=0$ ; therefore the y-intercept of $f(x)$ is -6.

We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.

6 0

3 years ago

A glacier advances toward the sea 0.004 mile anually. In 2010 the front of the glacier is 6.9 miles from the mouth of the sea. H

olchik [2.2K]

You know where the glacier is now, and how far it moves in
one year. The question is asking how close to the sea it will be
after many years.

Step-1 ... you have to find out how many years

Step-2 ... you have to figure out how far it moves in that many years

Step-3 ... you have to figure out where it is after it moves that far

The first time I worked this problem, I left out the most important
step ... READ the problem carefully and make SURE you know
the real question. The first time I worked the problem, I thought
I was done after Step-2.

============================

Step-1: How many years is it from 2010 to 2030 ?

   (2030 - 2010) = 20 years .

Step-2: How far will the glacier move in 20 years ?

   It moves 0.004 mile in 1 year.

    In 20 years, it moves 0.004 mile 20 times

    0.004 x 20 = 0.08 mile

Step-3: How far will it be from the sea after all those years ?

In 2010, when we started watching it, it was 6.9 miles
      from the sea.

      The glacier moves toward the sea.
   In 20 years, it will be 0.08 mile closer to the sea.
   How close will it be ?

       6.9 miles - 0.08 mile = 6.82 miles (if it doesn't melt)

7 0

3 years ago

Four resistors are connected in series such that their total resistance is 50ohm . If the resistance of resistors is 5 ohm , 10o

Katyanochek1 [597]

<h2>Answer:</h2>

$\boxed{R_{4}=20\Omega}$

<h2>Step-by-step explanation:</h2>

If resistors are in series, so the current $I$ is the same in all of them. In this problem we have four resistors. So, we can get a relationship between the Equivalent resistance of series combination and the four resistors as follows: