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ki77a [65]
3 years ago
12

Please help asap!:)) and show work!

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer:

The other acute angle = 33 1/3°

Step-by-step explanation:

Hard to read the angle measure.  

one acute angle = 56 2/3°      x =  the second acute angle

Find the other acute angles.

The two acute angles sum in a right triangle = 90°  

56 2/3° + x° = 90°

x =  90 - 56 2/3

x = 89 3/3° - 56 2/3°

x = 33 1/3°

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What is the fourth term of the expansion of the binomial (2x + 5)^5?
Alik [6]
Ok, 1 bionimial theorem coming right up

for a binomial expansion of (a+b)^n
the kth term is
\left(\begin{array}{ccc}n\\k-1\end{array}\right)a^{n-(r-1)}b^{k-1}
\left(\begin{array}{ccc}n\\k-1\end{array}\right) means \frac{n!}{(k-1)!(n-(k-1))!}

n is 5
4th term
4-1=3
and a=2x
b=5
so
\left(\begin{array}{ccc}5\\4-1\end{array}\right)(2x)^{5-(4-1)}5^{4-1}
\left(\begin{array}{ccc}5\\3\end{array}\right)(2x)^{2}5^{3}
\left(\begin{array}{ccc}5\\3\end{array}\right)(2x)^{2}5^{3}
(10)(4x^2)(125)
5000x^2 is the 4th term



7 0
3 years ago
Select all the coordinate pairs that are solutions to y= 2x^2 +3x +1
Katen [24]

Answer:

Step-by-step explanation:

7 0
3 years ago
Solve the rational equation:. x+3/3x-2 minus x-3/3x+2=44/9x^2-4
NISA [10]
\frac{x+3}{3x-2} - \frac{x-3}{3x+2} = \frac{44}{9x^2-4}
\frac{(x+3)(3x+2) - (x-3)(3x-2)}{(3x-2)(3x+2)} = \frac{44}{(3x+2)(3x-2)}

(x+3)(3x+2) - (x-3)(3x-2) = 44
(3x^2 + 11x + 6) - (3x^2 - 11x + 6) = 44
22x = 44
x = 2Substituting x = 2 into the original does not give any extraneous solutions, so this is the answer.
4 0
3 years ago
Divide:7/4 ÷ 8/732/4949/3217/3281/32
SIZIF [17.4K]

7/4 ÷ 8/7

To divide fraction multiply the first fraction by the reciprocal of the second fraction:

7/4 x 7/8 = (7x7) / (4x8) = 49/32

5 0
1 year ago
Is the relation a function? {(14, 15), (5, 7), (3, 10), (11, 1), (5, 8)} a. yes. b. no
Monica [59]
In this relation we have two ordered pairs:
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Answer:
b ) No. The relation is not a function.
8 0
4 years ago
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