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IgorLugansk [536]
3 years ago
12

Find the lenght of c using the Pythagorean theorem

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

the Pythagorean theorem states:

a^2 + b^2 = c^2

in your case a=14 and b=48

Step-by-step explanation:

14^2 + 48^2 = c^2

14x14 + 48x48 = c^2

(196 + 2304 = 2500)

2500 = c^2

√2500 = c

50 = c

Final answer: 50

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PLEASE HELP!!! I don’t understand
asambeis [7]

Answer:

Step-by-step explanation:

Use the half angle identity for cosine:

cos(x/2)=+ or - sqrt(1+cos(x))/sqrt(2)

I'm going to figure out the sign part first for cos(x/2)...

so x is in third quadrant which puts x between 180 and 270

if we half x, x/2 this puts us between 90 and 135 (that's the second quadrant)

cosine is negative in the second quadrant

so we know that

cos(x/2)=-sqrt(1+cos(x))/sqrt(2)

Now we need cos(x)... since we are in the third quadrant cos(x) is negative...

If you draw a reference triangle sin(x)=3/5 you should see that cos(x)=4/5 ... but again cos(x)=-4/5 since we are in the third quadrant.

So let's plug it in:

cos(x/2)=-sqrt(1+4/5)/sqrt(2)

No one likes compound fractions (mini-fractions inside bigger fractions)

Multiply top and bottom inside the square roots by 5.

cos(x/2)=-sqrt(5+4)/sqrt(10)

cos(x/2)=-sqrt(9)/sqrt(10)

cos(x/2)=-3/sqrt(10)

Rationalize the denominator

cos(x/2)=-3sqrt(10)/10

3 0
3 years ago
The price of oil recently went from ​$10.50 to ​$12.60 per case of 12 quarts. Find the ratio of the increase in price to the ori
wolverine [178]
To find the percent increase you will create a ratio of the difference between the 2 prices and the starting price.

<u>(12.60-10.50)
</u>     10.50
<u>
2.10
</u>10.50
<u>
210
</u>1050
<u>
1
</u>5 is the ratio.<u>
</u>
8 0
3 years ago
Ricky can ride 17 km on his bike in the same length of time ha can walk 9 km.if his riding speed is 4 kph faster than his walkin
aivan3 [116]
Distance=speed times time
if they take the same time, we cal the time , t

b=bike speed
w=walking speed

bikedistnace=17=bt
walkdistance=9=wt

b is 4 more than w
b=4+w

we have
17=bt
9=wt
b=4w

ok so
multiply first equation by 9 and 2nd by 17

153=9bt
153=17wt
set equal
9bt=17wt
divide both sides by t
9b=17w
sub b=4+w for b
9(4+w)=17w
distribute
36+9w=17w
minus 9w both sides
36=8w
divide both sides by 8
4.5=w

he walks 4.5kph
5 0
3 years ago
Maggie's brother is three years younger than twice her age. The sum of their ages is 24 how old is maggie?
Vanyuwa [196]

The variable for Maggie will be M and 2x-3 be her younger brothers age (<u>Twice her age). </u>We then would turn this into <u>an algebraic problem</u>. (m+2x -3=24).

3x-3=24, we would add 3 to both sides (-3 and 24). 24 + 3 equals 27, we now have to divide -3x and 27 on both sides, which equals <u>9. (x=9)</u>



6 0
3 years ago
You have a home with a market value of $144,700, which has an assessment value of 72% of that amount. your city has a property t
CaHeK987 [17]

Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.

<h3>What is tax?</h3>

A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.

The given data in the problem is;

The market value of the home = is $144,700

They assessed a value of 72% of that amount.

The city has a property tax rate of 0.039.

The assessment value is found as;

\$ \ 144,700 \times  0.72 = \$ \ 104,184

The tax on the property will be;

\$ \  104,184 \times 0.039 = \$ \ 4,063.176

The amount which goes to funding schools is;

\$ \ 4,063.176 \times  0.65= \$ \ 2641.0644

Hence your taxes went to funding schools will be $2641.

To learn more about the tax refer to the link;

brainly.com/question/16423331

6 0
2 years ago
Read 2 more answers
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