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2 years ago

Quick what is the are of the triangular part of the flag below?

Mathematics

1 answer:

kozerog [31]2 years ago

8 0

Answer = 420 in 25 step by step explanation. The area of the triangle is one half the base times

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Brett warmed up for his basketball game by running around the court 3 times . If the court is 84 feet by 50 feet, how many feet

lana [24]

Answer:

804 feet

Step-by-step explanation:

Given: Dimension of a basketball court is 84 feet by 50 feet.

Considering the shape of basketball court is in rectangle shape.

∴ Finding the perimeter of rectangle to know total number of feet in one round.

Perimeter of rectangle= $2(l+w)$

where, l= length

w= width

∴ Perimeter of rectangular court= $2(84\ feet + 50\ feet)$

⇒ Perimeter of rectangular court= $2(134\ feet)$

Opening parenthesis

⇒ Perimeter of rectangular court= $2\times 134\ feet= 268\ feet$

Hence, Brett run 268 feet in one round of warm up.

As given, Brett ran around the court 3 times.

∴ Total number of feet= $268\ feet\times 3= 804\ feet$

Hence, Brett jog for 804 feet.

3 0

3 years ago

According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it h

andreyandreev [35.5K]

Answer:

The graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph $f(x)=x^2-4x+3$

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation $f(x)=x^2-4x+3$ the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, $f(x)=x^2-4x+3=0$

This is a quadratic equation, $x^2-4x+3=0$

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

$x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0$

$\Rightarrow x(x-1)-3(x-1)=0$

$\Rightarrow (x-3)(x-1)=0$

Using zero product property, $a\cdot b=0 \Rightarrow a=0\ or \ b=0$

$\Rightarrow (x-3)=0$ or $\Rightarrow (x-1)=0$

$\Rightarrow x=3$ or $\Rightarrow x=1$

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

3 0

3 years ago

Find the measure of angle y. Round your answer to the nearest hundredth. Right triangle

e-lub [12.9K]

<h3>The measure of angle y is 35.68 degrees</h3>

<em><u>Solution:</u></em>

Given that,

hypotenuse 12

Opposite 7

Find the measure of angle y

y is unknown and is between the hypotenuse and adjacent side

The figure is attached below

In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse

Therefore,

$sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68$

Thus measure of angle y is 35.68 degrees

7 0

2 years ago

Pic included> a or c?

Olenka [21]

I believe the answer would be a.

8 0

3 years ago

Takeisha is placing placemats around a table. Each placemat is 14 inches long and 10 inches wide. The rectangular table is 42 in

Vesnalui [34]

welll i kinda don get ur question but ummmm if u say like the graetest number then 48

8 0

3 years ago