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4 years ago

8

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

2 answers:

Ugo [173]4 years ago

8 0

For this we will want to use the Pythagorean Theorem. Lets plug our values in.

5^2+4^2=c^2

Our first step is to find out our squared values.

25+16=^2.

You will then want to combine like terms.

41=c^2

Since C has a square, we will want to get rid of the squared. The opposite of squaring something is taking the square root of something.

We will then want to take the square root of 41.
Your final answer will be

C= 6.4

AVprozaik [17]4 years ago

3 0

You would use the Pythagorean threroem 4^2 + 5^2 = C^2. 16 + 25 = 41 the square root of 41 is 6.40

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The formula for the volume sphere is V=4/3pie r^3 what is the formula solved for r?

oksian1 [2.3K]

Answer:

$r = \sqrt[3]{\frac{3V}{4 \pi}}$

Step-by-step explanation:

From the formula of volume of a sphere we have to isolate "r" on one side of the equation i.e. we have to make "r" the subject of the equation.

$V=\frac{4}{3} \pi r^{3}\\\\ \text{Multiplying both sides by 3/4 we get}\\\\\frac{3V}{4} = \pi r^{3}\\\\ \text{Dividing both sides by } \pi \\\\ \frac{3V}{4 \pi} = r^{3}\\\\\text{Takeing cube root of both sides}\\\\\sqrt[3]{\frac{3V}{4 \pi}} = r$

Therefore:

$r = \sqrt[3]{\frac{3V}{4 \pi}}$

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3 years ago

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A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the

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3 years ago

4) Sumalee had some candy to give to her

jonny [76]

Answer:

31 pieces

Step-by-step explanation:

6 + 5 x 5 = 31

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3 years ago

A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time

FinnZ [79.3K]

If the ball was thrown straight up at 24 ft/sec when it was 5 ft above the ground, the ball reached a maximum height of 7.25 m

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<h3>Further explanation</h3>

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

<h2>D = b² - 4 a c</h2>

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

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An axis of symmetry of quadratic equation y = ax² + bx + c is :

$\large {\boxed {x = \frac{-b}{2a} } }$

Let us now tackle the problem!

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<u>Given:</u>

$p(t) = 3gt^2 + v_ot + p_o$

$p(t) = 3(-32)t^2 + 24t + 5$

$p(t) = -64t^2 + 24t + 5$

<u>Asked:</u>

$p_{max} = ?$

<u>Solution:</u>

<em>At the maximum height , velocity is 0 m/s:</em>

$v = \frac{dp(t)}{dt}$

$v = \frac{d}{dt} ( -64t^2 + 24t + 5 )$

$v = (-64)(2)t^{2-1} + 24$

$v = -128t + 24$

$0 = -128t + 24$

$128t = 24$

$t = 24 \div 128$

$t = 3 \div 16$

$t = 0.1875 \texttt{ s}$

$\texttt{ }$

$p(t) = -64t^2 + 24t + 5$

$p(0.1875) = -64(0.1875)^2 + 24(0.1875) + 5$

$p(0.1875) = 7.25 \texttt{ m}$

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<h3>Learn more</h3>

Solving Quadratic Equations by Factoring : brainly.com/question/12182022
Determine the Discriminant : brainly.com/question/4600943
Formula of Quadratic Equations : brainly.com/question/3776858

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<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

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Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

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3 years ago

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Alchen [17]

Answer:

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Step-by-step explanation:

6x5=30

20x5=100

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3 years ago

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