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Irina18 [472]
3 years ago
5

The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse

Mathematics
1 answer:
masha68 [24]3 years ago
6 0
A^2 + b^2 =c^2 ; c = hypotenuse, a and b: legs

4^2 + 5^2 = c^2
16 + 25 =  c^2
41 =c^2
so c = <span>sqrt(41) = 6.40312424

</span>hypotenuse = 6.40312424
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Part of a cheerleading routine is throwing a flyer straight up and catching her on the way down. The flyer begins this move with
umka2103 [35]

Answer:

Step-by-step explanation:

Given that a flyer begins from earth and thrown up with a velocity of 30 ft/sec vertically.

u = initial velocity = 30 :   a = -g = 32 ft/sec^2

s(0) =initial height  =4 ft.

We have the equation

where u = initial velocity : v= final velocity : s = distance travelled and a = acceleration.  Here final velocity is found out as follows

Substitute to get

Since v cannot be negative, the flyer’s center of gravity cannot ever reach 20 feet.

----------------------------------

To reach 25 ft, put s = 25

and v must be atleast 0

Then we have

Hence if thrown with initial velocity of 40 ft /sec, it will reach a height of 25 ft.

6 0
3 years ago
find how long it takes (in seconds) for a car to travel when the car is going a speed of 20mph on a 100 foot track.
Nesterboy [21]

Answer:

3.4 seconds

Step-by-step explanation:

First, you have to change 20mph to feet per seconds. To do this, multiply mphs by 1.4667. When you multiply 20mph by 1.4667, you get 29.3333 fps.

Divide 100 by 29.333 to get 3.40909478 (3.4) seconds

7 0
3 years ago
Read 2 more answers
What is 208 + 569 = and what's a estimate
OlgaM077 [116]
An estimate is a guess you make by using what you already know and applying with something new.

208+569= 777
3 0
3 years ago
What is the solution to the system of equations?
kap26 [50]

Answer:

\large\boxed{\left(7,\ \dfrac{13}{3}\right)}

Step-by-step explanation:

You must use the algebraic method: substitution or elimination.

I will solve a given system of equations the substitution method.

\left\{\begin{array}{ccc}y=\dfrac{1}{3}x+2&(1)\\\\y=\dfrac{4}{3}x-5&(2)\end{array}\right\qquad\text{substitute (2) to (1)}\\\\\dfrac{4}{3}x-5=\dfrac{1}{3}x+2\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}x-(3)(5)=3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}x+(3)(2)\\\\4x-15=x+6\qquad\text{add 15 to both sides}\\\\4x=x+21\qquad\text{subtract x from both sides}\\\\3x=21\qquad\text{divide both sides by 3}\\\\x=7\\\\\text{put the value of x to the first equation}\\\\y=\dfrac{1}{3}\cdot7+2\\\\y=\dfrac{7}{3}+\dfrac{6}{3}\\\\y=\dfrac{13}{3}

7 0
3 years ago
Find measure angle B ( m∠B )
kompoz [17]

Hi there!

<h3>m∠B = 79°</h3>

The interior angles of a trapezoid always sum up to 360° because a trapezoid is a quadrilateral, so:

360° = (8x + 7)° + (5x + 18)° + (14x - 11)° + (10x + 13)°

Combine like terms:

360° = 37x + 27

Subtract both sides by 27:

333° = 37x

Divide both sides by 37:

x = 9°

Plug in this value of x into the expression for ∠B:

8(9) + 7 = 72 + 7 = 79°

7 0
3 years ago
Read 2 more answers
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