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Luba_88 [7]
3 years ago
6

Find the measure of an angle that is four hundred eighty-five less than four times its supplement.

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0
Is 121.25 because 485 divided by 4 is 121.25
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I have 7 cups of yogurt give my sister 3 3/5 cup how yogurt remains?
bearhunter [10]

Answer:

3 2/5 cups remaining

Step-by-step explanation:

To subtract fractions, they need a common denominator. I am using 5.

7 is equal to 35/5. Make 3-3/5 into an improper fraction of 18/5.

Now subtract: 35 - 18 = 17. There is 17/5 remaining.

Make it into a mixed number and you will get 3 2/5 remaining.

5 0
3 years ago
8. find the simplified form of the expression. give your answer in scientific notation. (3 x 10^6) (8 x 10^-4) a) 1.1 x 10^3 b)
andrew-mc [135]
(3 x 10^6)(8 x 10^-4) = (3 x 8) x 10^(6 - 4) = 24 x 10^2 = 2.4 x 10^3
5 0
3 years ago
A hyperbola centered at the origin has verticies at (add or subtract square root of 61,0 and foci at (add or subtract square roo
deff fn [24]

Answer:

\frac{x^2}{61}-\frac{y^2}{37}  =1

Step-by-step explanation:

The standard equation of a hyperbola is given by:

\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1

where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²

Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)

The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61

The foci is (h ± c, k) = (±√98, 0). Therefore c = √98

Hence:

c² = a² + b²

(√98)² = (√61)² + b²

98 = 61 + b²

b² = 37

b = √37

Hence the equation of the hyperbola is:

\frac{x^2}{61}-\frac{y^2}{37}  =1

6 0
3 years ago
Use matrix addition to solve this equation
REY [17]

Answer:

  • c11 = 8
  • c31 = 20
  • c22 = 14

Step-by-step explanation:

The sum of two matrices is the sum of corresponding terms.

\left[\begin{array}{ccc}3&1&0\\-1&2&4\\9&7&-2\end{array}\right] +\left[\begin{array}{ccc}5&2&4\\1&12&3\\11&3&-2\end{array}\right] =\left[\begin{array}{ccc}8&3&4\\0&14&7\\20&10&-4\end{array}\right]

8 0
3 years ago
Read 2 more answers
What is the slope of the line through (-5,-10) and(-1, 5)?
Mila [183]

Answer: The slope is 15/4.

Step-by-step explanation:

M = (y2 - y1)/(x2 - x1)

M = (5 - (-10))/(-1 - (-5))

M = (5 + 10)/(-1 + 5)

M = 15/4

6 0
3 years ago
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