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grandymaker [24]
3 years ago
11

What is the 28th term of the arithmetic sequence with a 1 = 4 and d= -2

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

tn = a + (n-1)*d

t28 = 4 +   (27)*-2     27 because 27 = 28 - 1

t28  = 4 + - 54

t28 = 4 - 54

t28 = - 50      

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Sin0=12/37 find tan0
alexira [117]

Answer:

\large{ \tt{❃ \: EXPLANATION}} :

  • We're provide - Sin θ = \frac{12}{37} which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = \tt{  \frac{p}{h}} ] . We're asked to find out tan θ ].

\large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} :

\large{ \tt{❊ \:  {h}^{2}  =  {p}^{2}  +  {b}^{2} }}

\large{ \tt{⇢ {p}^{2} +  {b}^{2}   =  {h}^{2} }}

\large{ \tt{⇢ \:  {b}^{2}  =  {h}^{2}  -  {p}^{2} }}

\large{ \tt{⇢ \:  {b}^{2} = {37}^{2} -  {12}^{2}   }}

\large{ \tt{⇢ \:  {b}^{2}  = 1369 - 144}}

\large{ \tt{ ⇢{b}^{2}  = 1225}}

\large{ \tt{⇢ \: b =  \sqrt{1225}}}

\large{ \tt{⇢ \: b = 35  \: \text {units}}}

  • Now , We know - Tan θ= \tt{ \frac{perpendicular}{base} }. Just plug the values :

\large{ \tt{➝ \: Tan  \: \theta =  \frac{p}{b}  = \boxed{ \tt{  \frac{12}{35} }}}}

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

5 0
3 years ago
A quadratic equation is shown below:
AfilCa [17]

the solutions to a general quadratic equation is

X=-b±√b²-4ac/2a  ,, When ax²+bx+c=0

the discriminant is the expression under the radical b²−4ac

Part A:

discriminant is (-16)² - 4(9)(60) = -1904

there are two complex solutions  

Part B:  

4x² + 8x − 5 = 0

4x² + 10x -2x - 5=0

2x ( 2x + 5) - 1(2 x + 5) =0  

(2x + 5)(2x-1) = 0

      /                     \

    /                          \

2x+5 = 0                 2x-1 =0    

x = -5/2                     x = 1/2

5 0
3 years ago
Seth spends every Saturday mowing lawns in his neighborhood. Last month, he made $416. If he deposited 3/4 of the money into is
Phoenix [80]
He had $104 left to spend.
1. $416/4=$104
2. $104•3=$312
3. $416-$312=$104
6 0
3 years ago
Find the product.<br><br> (a 2 b 3)4
krok68 [10]

392762662-+[191828×6×6626272819191

8 0
3 years ago
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
Hoochie [10]

Answer:

19 miles per hour

Step-by-step explanation:

3 0
3 years ago
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