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vovangra [49]
3 years ago
6

What is the length of x in the triangle shown

Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0
Since this is a right triangle the angle opposite the side 17 is also 45°

So this can be solved in two ways...

The Law of sines...

x/sin90=17/sin45

x=17/sin45

x≈24.04 to nearest hundredth

or by realizing that both sides are 17 because they are both opposite 45° angles then the hypotenuse x is

x=√(2*17^2)

x=√578

x≈24.04
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Solve for the roots in the equation below. x4 + 3x2 - 4 = 0
fgiga [73]
First, you need to rewrite the expression into binomial form, so you are working with two terms (as you world with a quadratic):
(x²)²-3(x²)-4=0
Now, you can place the x²s into brackets as the coefficient is now 1:
(x²  )(x²  )
Next, find out two numbers that add together to give you -3 and multiply to give -4 (these are the leftover integers after removing the x²s). These two numbers are -4 and 1.
Place the -4 and 1 into the brackets:
(x²-4)(x²+1)=0
Notice that the x²-4 is a difference of two squares, so can be further factorised into (x+2)(x-2)
This leaves you with a final factorisation of:
(x+2)(x-2)(x²+1)=0
Now we handle each bracket individually to obtain our four solutions for x:
x+2=0
x=-2
x-2=0
x=2
x²+1=0
x²=1
x=<span>±1</span>

8 0
3 years ago
89,000 rounded to the nearest thousand
Rufina [12.5K]

89 thousands?

........................

4 0
2 years ago
Read 2 more answers
There are 15 pieces of fruit in a bowl and 6 of them are apples? What percentage are apples
boyakko [2]

Answer:

40%

Step-by-step explanation:

You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 6 and 15 using

GCF(6,15) = 3

6÷315÷3=25

We know that

25

is the same as

2÷5

Then using

Long Division for 2 divided by 5

gives us

0.4

Converting our number to a percentage:

0.4×100

=40%

5 0
3 years ago
Ivanna says that 2 and 4/9 is equal to 9 divided by 22 is she correct
Degger [83]

Answer: No, she is invalid

Step-by-step explanation: 2 4/9 is equal to 22/9

9 divided by 22 is 9/22

22/9 is not equal to 9/22

3 0
3 years ago
If five pounds of potatoes cost $3.45, then 2 lb cost $.89.
timama [110]
<span>if this a true or false question, that is false </span><span>you will see that 2 lbs of potatos cost $1.38 (:
</span>
3 0
3 years ago
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