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3 years ago

⚠️Pythagorean Theorem⚠️ ‼️Urgent Help‼️

Mathematics

1 answer:

Talja [164]3 years ago

7 0

The Pythagorean theorem is a^2 +b^2=c^2

In the first example you have to find the length of the hypotenuse( it is opposite of the 90 degrees)

9^2+12^2=c^2
81+144=c^2
225=c^2
(Use a calculator to find the square root of 225)
c=15

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Y=3x^2+11x-4 and y=10x-1. solve the system of equations

Mashcka [7]

3x^2+11x-4=10x-1
3x^2+11x-10x-4+1=0
3x^2+x-3=0
Δ=1^1-4*3*(-3)=1+36=37
x1=(-1+V37)/6

x2=( -1-V37)/6

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3 years ago

For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d =

enyata [817]

Given that <span>For a certain model of car the distance $d$ required to stop the vehicle if it is traveling at $v$ mi/h is given by the formula $d=v+\frac{v^2}{20}, where [tex]d$ is measured in feet.

If Kerry wants her stopping distance not to exceed 75 ft, then the range of speeds (in mi/h) can she travel is obtained as follows:

$v+ \frac{v^2}{20} \leq75 \\ \\ 20v+v^2\leq1,500 \\ \\ v^2+20v+100\leq1,500+100 \\ \\ (v+10)^2\leq1,600 \\ \\ |v+10|\leq\sqrt{1,600} \\ \\ -40\leq v+10\leq40 \\ \\ -40-10\leqv\leq v\leq40-10 \\ \\ -50\leq v\leq30$

Therefore, the range of speed she can travel is $v\leq30\ mi/hr$
</span>

8 0

2 years ago

Hannah has a biased coin.

muminat

Look at it this way:

When you flip a coin, the probability of it landing with EITHER side showing
is 100%.

This leads us to the rule ...

The sum of the probabilities of
all possible outcomes is 100%.

For a coin: (probability of heads) plus (probability of tails) = 100%.

That just says: We're 100% sure that the coin will land with either
heads or tails up.

An "honest" coin gets heads 50% of the time and tails the other 50%.

But if the coin is all bent and squashed and has a feather stuck to
one side and a wad of gum on the other side so that it comes up
heads 70% of the time, then the coin isn't 'honest'. But it still has to
land EITHER heads OR tails, so the sum of the probabilities is still 100%.

So the probability of heads is 30%.

7 0

3 years ago

What is -1.1 repeating as a fraction

Thepotemich [5.8K]

$Hey \\ There!$

$\frac{-1.1}{1} ( \frac{10}{10} )\\ \\ -1.1(10) = -11 \\ \\ 1(10)= 10 \\ \\ \\ Fraction: \frac{-11}{10}$ this is also $equal$ to: $-1\frac{1}{10}$

Your answer would probably be: $\frac{-11}{10} = -1\frac{1}{10}$

Good luck on your assignment and enjoy your day!

~ $MeIsKaitlyn:)$

4 0

2 years ago

Which expression is equivalent to the expression 4(6+y)+7?

natita [175]

Answer:

31 + 4y

Step-by-step explanation:

4(6+y)+7

Expand the brackets.

24+4y+7

Rearrange.

4y + 24 + 7

Add the like terms.

4y + 31

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3 years ago