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Anna [14]
3 years ago
5

Given the Arithmetic sequence A1,A2,A3,A4 61, 74, 87, 100 What is the value of A15?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0
A15=243
74-61=13
87-61=13
So they're adding 13 every time.
A15 is 11 terms from A4 which is the last one you are given so 11*13=143
143+100=243

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find x. assume that segments that appear tangent are tangent. please help need answer and how to do it.
Pavlova-9 [17]
Triangle ABC is a right triangle, meaning we can use the Pythagorean Theorem to find x.
The formula for the Pythagorean Theorem is:
a =  \sqrt{ {b}^{2}  +  {c}^{2} }
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
a = 20 \\ b = 16 \\ c = x
Therefore, we can plug into the formula to find x:a =  \sqrt{ {b}^{2}  +  {x}^{2} }  \\  {a}^{2}  =  { \sqrt{ {b}^{2}  +  {x}^{2} } }^{2}  \\  {a}^{2}  =  {b}^{2}  +  {x}^{2}  \\  {a}^{2}  -  {b}^{2}  =  {x}^{2}
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
{x}^{2}  =  {a}^{2}  -  {b}^{2}  \\  \sqrt{ {x}^{2} }  =  \sqrt{ {a}^{2}  -  {b}^{2} }  \\ x =  \sqrt{ {a}^{2} -  {b}^{2}  }
We square root each side to find the variable answer for x. Then we plug in the numbers:x =  \sqrt{ {(20)}^{2} -  {(16)}^{2}  }  \\ x =  \sqrt{400 - 256}  \\ x =  \sqrt{144}  \\ x = 12
We find that x = 12. The answer is A. 12.
3 0
3 years ago
(3j? - h) +3; use h=6, and j = 5​
Drupady [299]

Answer:

12

Step-by-step explanation:

(3j-h)+3

Plug in numbers:

(3(5)-(6))+3

Solve:

(15-6)+3

9+3=12

4 0
3 years ago
PLEASE ANSWER ASAP! 20 POINTS IF U ANSWER!
PSYCHO15rus [73]

Answer:  multiply by 3

Step-by-step explanation:

I know this because the relation ship applies to all of the number, for example 3 x 3 = 9 and so on.

8 0
2 years ago
Read 2 more answers
Based on the given angle measures, which triangle has side length measures that could be correct?
Likurg_2 [28]

Answer

The triangle in the figure 4 is correct .

Reason

by using the trignometric identity

tan\theta = \frac{Perpendicular}{Base}

Thus

tan 30^{\circ} = \frac{Perpendicular}{Base}

tan 30 ^{\circ} =\frac{1}{\sqrt{3}}

Now in the figure (1)

tan 30^{\circ} = \frac{13.9}{8}

\frac{1}{\sqrt{3}} = \frac{13.9}{8}

on simplify

0.5774 \neq 1.7375

thus side length measures in the figure (1) is not correct .

Now in the figure (2)

tan30^{\circ} =\frac{16}{8} \\ \frac{1}{\sqrt{3}} =\frac{16}{8} \\ 0.577 \neq 2

thus side length measures in the figure (2) is not correct .

Now in the figure (3)

tan 30 ^{\circ} = \frac{8}{16} \\ \frac{1}{\sqrt{3}} =\frac{8}{16} \\ 0.577\neq0.5

thus side length measures in the figure (3) is not correct .

Now in the figure (4)

tan30^{\circ} = \frac{8}{13.9} \\ \frac{1}{\sqrt{3}} =\frac{8}{13.9}\\ 0.577 = 0.576(approx)

 Therefore the figure (4) is correct triangle has side length measures that could be correct

Hence proved


 


8 0
2 years ago
Read 2 more answers
Directions:Find the solution of the follow equations and check your work
Mekhanik [1.2K]

y=28×9

=252

x=334-150

=184

h=254×100

=25400

Step-by-step explanation:

to check the equations substitute the values by the variables

7 0
2 years ago
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