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valina [46]
3 years ago
9

There is a right isosceles triangle. The hypotenuse is 31. Find the value of the two missing legs. Round the answer to the neare

st 100th.
if possible, I would like to learn the formula for future reference.
Mathematics
1 answer:
nadezda [96]3 years ago
4 0
We know that
A right isosceles triangle <span> has two equal sides and two equal angles
so 
has two angles equals to 45</span>°

<span>methodology 1 to solve the problem
</span>Let 
x--------> length of the leg of triangle
sin 45°=opposite side/hypotenuse
sin 45°=√2/2
opposite side=hypotenuse*sin 45°------> 31*√2/2---> 21.92 units


methodology 2 to solve the problem
c²=a²+b²
c=hypotenuse------> 31 units
a=leg 1
b=leg 2
a=b
so
c²=2a²------> a²=c²/2------> a²=(31)²/2
a=√[(31)²/2]------> a=31/√2-----> 31√2/2------> 21.92 units


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the population of alaska is approximately 6.5 * 10^(5) people the populatio of illinois's is about 1.3 * 10^(7)people. how many
Wewaii [24]

Answer:

20 times greater

Step-by-step explanation:

Given the following

Population of alaska = 6.5 * 10^(5) people

Population of illinois's = 1.3 * 10^(7)people.

To know the number of times population of Illinois in the population of Alaska, we will take their population ratio;

Ratio = Population of illinois's /Population of alaska

Ratio = 1.3 * 10^(7)/6.5 * 10^(5)

Ratio = 0.2 * 10^7-5

Ratio = 0.2 * 10^2

Ratio = 20

Hence the population of Illinois is 20 times greater than population of alaska

8 0
2 years ago
A restaurant manager asks all of the customers this month to take an online survey (and get a free appetizer their next visit).
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Answer:

Which is the output of the formula =AND(12>6;6>3;3>9)?

A.

TRUE

B.

FALSE

C.

12

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9

Step-by-step explanation:

4 0
3 years ago
3/5 of a number decreased by one is 23. What is the number?
garri49 [273]
You can set up an equation based off of the information given:

x represents the unknown number

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add 1 to both sides to isolate the 3/5x

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3 years ago
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Dennis_Churaev [7]

Step-by-step explanation:

To me yes.

Algebra is mostly memorization. If you know the formulas and know how to apply it, you should do good.

I say use this. Algebra topics are like building on top each other.

Heart of Algebra:

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Then move on to other algebra topics dealing with algebra like

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Since you learned different function rules, we can move on to learning exponetial functions, graphs, and word problems.

Then finally, learn most hard thing in Algebra: Quadratics.

Pratice,practice, and practice and you will pass.

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Good Luck

7 0
2 years ago
1.
Sliva [168]

Answer:

A. vertex, (3, 0); y-intercept 4.5

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 3 , 0 )

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s):  

( 3 , 0 )

y-intercept(s):  

( 0 , 4.5 )

3 0
2 years ago
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