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azamat
3 years ago
6

Find the value of b plz

Mathematics
1 answer:
Inga [223]3 years ago
7 0

We use sine here. Sin (45) = opposite/hypotenuse = 12/b

Sin (45) = sqrt (2)/2

So, sqrt(2)/2 = 12/b

Cross multiply:

24 = sqrt(2) * b

Divide both sides by sqrt(2):

b = 24/sqrt(2) = 12 * sqrt(2).

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A hypotenuse of a right triangle is 52 in. One leg of the triangle is 8in. more than twice the length of the other. What is the
DaniilM [7]

c=52, a=2b+8

<span>
Pythagorean Theorem = a^2+b^2=c^2</span>

<span>
(2b+8)^2+b^2=52^2</span>

<span>
<span> 4b^2+32b+64+b^2=2704</span></span>

<span><span>
5b^2+32b-2640=0 </span></span>

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b=20 </span>

a= 2(20)+8 = 48

<span>48+20+52 = 120</span>


3 0
3 years ago
Read 2 more answers
142 is 120% of what number
forsale [732]
142=120% of x
120% of x= 1.2x
142=1.2x
142/1.2 = 1.2x/1.2
x= 118.33

The unknown number should be 118.33, rounded to 118 or so.
5 0
3 years ago
Who is correct? Explain your reasoning.
kap26 [50]
In order to get who was right we need to solve the expression:
2a^2b(-2ab^3)^-2
The above can be written as fraction to get:
(2a^2b)/(-2ab^3)^2
=(2a^2b)/(4a^2b^6)
=1/2(a^(2-2)b^(1-6))
=1/2a^0b^-5
=1/2b^(-5)
This implies that neither of the was right

3 0
4 years ago
75+11(1777-S)=16,671
S_A_V [24]

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

5 0
3 years ago
Find the 96th term of the arithmetic sequence 1, -12, -25, ...
goldenfox [79]

Answer:

The 96th term of the arithmetic sequence is -1234.

Step-by-step explanation:

first term (a)=1

second term (t2)=-12

common difference (d)= t2-a

d=-12-1

d=-13

96th term (t96)=?

We know that,

t96=a+(n-1)d

t96=1+(96-1)(-13)

t96=1+95(-13)

t96=1-1235

t96=-1234

6 0
3 years ago
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