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Minchanka [31]
3 years ago
9

I’m confused on this one

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

6\sqrt2

Why?

We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:

h^2=6^2+6^2\\\\h^2=36+36\\\\h^2=36\cdot2\to h=\sqrt{36\cdot2}\\\\h=\sqrt{36}\cdot\sqrt2\\\\h=6\sqrt2

In general, the formula for calculating the hypotenuse in an isosceles right triangle is h=a\sqrt2

a - a leg, h - a hypotenuse

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Use trigonometric ratios to find the indicated side
iragen [17]

Answer:

a = 139.1

b = 56.2

Step-by-step explanation:

A. Reference angle = 68°

Opp = a

Hyp = 150

Therefore:

Sin 68 = opp/hyp

Sin 68 = a/150

150*sin 68 = a

a = 139.1 (nearest tenth)

B. Reference angle = 68°

Adj = b

Hyp = 150

Therefore:

Cos 68 = adj/hyp

Cos 68 = b/150

150*cos 68 = b

b = 56.2 (nearest tenth)

4 0
3 years ago
In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!
g100num [7]

the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

Step-by-step explanation:

   x^{3} = - 64

   x^{3} +64  = 0

   We can write 64 as  4^{3}

  x^{3} + 4^{3} = 0

  using the identity  ( x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} ) )

we get,

  = (x+4) (x^{2} -x*4+4^{2} )

  = (x+4)(x^{2} -4x+16)    ....................(1)

 solving the quadratic equation  ,

   x^{2} -4x+16 =0

solutions of this quadratic equation can be obtained by

   x=-b +- \sqrt{b^{2}-4ac } /2a

let use y for factors

x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16}  / 2*x^{2}

x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}

x=4+-\sqrt{16-64}/2

x=4+-4\sqrt{3i} /2

<u />x=2+-2\sqrt{3i}    ..................(2)

from the equation 1 we have,

x-4=0

which gives solution x=4

and from equation 2 we got  x=2+-2\sqrt{3i}

so the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

3 0
3 years ago
If i buy a bigger bed do i have more bedroom or less bedroom
raketka [301]

Answer:

your have less bedroom to work with.

(or this is a trick question and the answer is you have the same amout of room no matter what you put in it)

Step-by-step explanation:

8 0
3 years ago
Malinda went to the circus and spent $21.10 for admission, $3.25 on a program, and $9.05 on food.
max2010maxim [7]
Assuming you'd like to know about how much malinda spent at the circus,

21.10+3.25+9.05 = 33.4

or about 33 dollars.
7 0
3 years ago
Read 2 more answers
-24 - (-6) = -24 + 6<br> True or False.
abruzzese [7]

Answer:

True

Step-by-step explanation:

When you have 2 negative together they will become a positive (5- (-2) = 7)

5 0
3 years ago
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