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nordsb [41]
4 years ago
12

PLEASE HELP ME GUYS!!

Mathematics
1 answer:
Maru [420]4 years ago
5 0

Answer:

\frac{7}{3}

Step-by-step explanation:

csc(Ф) is equivalent to the inverse of sin(Ф)

  • csc = \frac{1}{sin}

Since sin(Ф) = 3/7, the inverse of this would be 7/3

So, csc = \frac{1}{\frac{3}{7} }=\frac{7}{3}

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Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)​
Leviafan [203]

Answer:

\huge\boxed{x=1\ \vee\ x=2}

Step-by-step explanation:

3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}

\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}

4 0
3 years ago
Can someone please help me?
Fittoniya [83]

Answer:

x²+4x+5

Step-by-step explanation:

i provided a picture explanation.

3 0
3 years ago
Read 2 more answers
Y/2 - (-1.12) = 3.12
ahrayia [7]

\fbox{y=4}

\frac{y}{2} -(-1.12)=3.12

Simplify:

\frac{1}{2} y+1.12=3.12

Subtract 1.12 on both sides:

\frac{1}{2} y+1.12-1.12=3.12-1.12

\frac{1}{2} y=12

Multiply both sides by 2:

2\times(\frac{1}{2} y)(2)\times(2)

y=4

4 0
1 year ago
What is 1/2 times 5/8???
Setler79 [48]
1/2 x 5/8 = .3125
 
If you plug it into the calculator.
3 0
3 years ago
Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawin
mrs_skeptik [129]

Scale drawings are used to show an actual image using lesser dimensions.

The width of the actual gym is 72 feet

The scale is given as:

Scale = 5\ inches : 8\ feet

Represent the width of the actual gym with w, so, we have the following equivalent ratio

45\ inches : w = 5\ inches : 8\ feet

Cancel out the common units

45: w = 5: 8\ feet

Express as fraction

\frac{45}{w} = \frac{5}{8\ feet}

Cross multiply

5w = 45 \times 8\ feet

Divide both sides by 5

w = 9\times 8\ feet

w = 72\ feet

Hence, the width of the actual gym is 72 feet

Read more about scale drawing at:

brainly.com/question/14934768

5 0
3 years ago
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