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likoan [24]
3 years ago
14

Find the value of y​

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:

69 degrees

Step-by-step explanation:

The triangles are congruent because one of the angles is congruent to the other and the angle at the top is the same. The total number of degrees in a triange is 180. 180-(66+45 (the angle lenghts of the other 2 angles)) is equal to 180-111=69 degrees.

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A circular dance stage has a perimeter of 28(3.14) feet. What is the area, in square feet, of this dance stage?
tiny-mole [99]
The perimeter (circumference) = 28 * PI.
This means the diameter = 28.
The area = PI*radius^2
area = PI * 14^2
area = PI * <span> <span> <span> 196 </span> </span> </span>
area = <span> <span> <span> 615.7521601036 </span> </span> </span> square feet


4 0
3 years ago
Minimum point of the quadratic x^2+6x-2
WITCHER [35]

Answer:

(-3,-11)

Step-by-step explanation:

Compare the given quadratic equation with the general quadratic equation.

a=1, b=6 and c=-2

x=-\dfrac{(6)}{2(1)}\\=-3

Subsitute -3 for x in given quadratic equation.

y=(-3)^2+6(-3)-2\\=9-18-2\\=-11

The minimum point is (-3,-11).

3 0
2 years ago
Write a system of equations to describe the situation below, solve using substitution, and fill
BlackZzzverrR [31]

Answer:

Revenue and Expense = $230

No. of attendees: 10

Step-by-step explanation:

Let n be the no. of attendees

Expense = 50 + 18n

Revenue = 23n

Break even when:

50 + 18n = 23n

50 = 5n

n = 10

23n = 230

5 0
3 years ago
Which ordered pairs make both inequalities true?
Arlecino [84]

Answer:

(0,-2) and (1, 1)

Step-by-step explanation:

7 0
3 years ago
Write explicit formula for a1=3, r=-2; then generate 1st 5 terms
Crazy boy [7]

Answer:

  • an = 3(-2)^(n-1)
  • 3, -6, 12, -24, 48

Step-by-step explanation:

These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.

a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.

  a1 = 3  (given)

  a2 = a1×r = 3×(-2) = -6

  a3 = a2×r = (-6)(-2) = 12

  a4 = a3×r = (12)(-2) = -24

  a5 = a4×r = (-24)(-2) = 48

The first 5 terms are 3, -6, 12, -24, 48.

__

The explicit formula for the terms of a geometric sequence is ...

  an = a1×r^(n -1)

Using the given values of a1 and r, the explicit formula for this sequence is ...

  an = 3(-2)^(n -1)

6 0
3 years ago
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