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vovangra [49]
3 years ago
9

Need help with these math problems just 1-6

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0
The given :right angled triangle
:there are two equal sides
solution
1 if triangle name is ABC
then AB=AC
then triangle ABC is a isosceles triangle
then angle BAC =angle CBA =2X
and any triangle in life there angles sum =180
2x + 90 = 180
2x=180-90
2x=90
x =  \frac{90}{2}
x=45

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julio says if you subtract 15 from my number and multiply the difference by -7, the result is -42 what is julio number
natali 33 [55]

Answer:

-10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Prove the following identity :<br>Sin α . Cos α .<br> Tan α =  (1 – Cos<br> α)  (1 + Cos<br> α)
Umnica [9.8K]
Let's work on the left side first. And remember that
the<u> tangent</u> is the same as <u>sin/cos</u>.

sin(a) cos(a) tan(a)

Substitute for the tangent:

[ sin(a) cos(a) ] [ sin(a)/cos(a) ]

Cancel the cos(a) from the top and bottom, and you're left with

[ sin(a) ] . . . . . [ sin(a) ] which is [ <u>sin²(a)</u> ]  That's the <u>left side</u>.

Now, work on the right side:

[ 1 - cos(a) ] [ 1 + cos(a) ]

Multiply that all out, using FOIL:

[ 1 + cos(a) - cos(a) - cos²(a) ]

= [ <u>1 - cos²(a)</u> ] That's the <u>right side</u>.

Do you remember that for any angle, sin²(b) + cos²(b) = 1  ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.

So, on the <u>right side</u>, you could write [ <u>sin²(a)</u> ] .

Now look back about 9 lines, and compare that to the result we got for the <u>left side</u> .

They look quite similar. In fact, they're identical. And so the identity is proven.

Whew !





4 0
3 years ago
Read 2 more answers
Five thousand raffle tickets are sold for $5 each. 50 winnings numbers will be chosen, 40 of which will win $100 each and 10 of
Allisa [31]

Answer:

Step-by-step explanation:

Given

there are 50 winning number out of which 40 get $ 100 each and 10 wins $ 1000 .

let x denotes the winning from a randomly selected ticket

x=100\ with\ Probability\ \frac{40}{5000}

x=1000\ with\ Probability\ \frac{10}{5000}

Expected value is given by

E(x)=100\times \frac{40}{5000}+1000\times \frac{10}{5000}

E(x)=0.8+2=2.8

and Expected return is given by

=100\times \frac{40}{5000}+1000\times \frac{10}{5000}-5

=2.8-5=$ -2.2

5 0
2 years ago
Samantha saw 60 people.
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3 0
2 years ago
Help please. <br><br> Please <br><br> Please
iragen [17]

2x - 6 = 60 - x  \\ add \: x \: to \:both \: sides \\  2x + x - 6 = 60 - x + x \\ 3x - 6 = 60 \\ add \: 6 \: to \: both \: sides \\ 3x - 6 + 6 = 60 + 6 \\ 3x = 66 \\ divide \: both \: sides \: by \: 3 \\  \frac{3x}{3}  =  \frac{66}{3}  \\ x = 22

8 0
2 years ago
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