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Anastaziya [24]
2 years ago
9

An angle measures 62° less than the measure of its complementary angle. What is the measure of each angle? (i need two answers p

lease help see the pic)

Mathematics
1 answer:
postnew [5]2 years ago
8 0

Answer:

28° 62°

Step-by-step explanation:

Hope this helps :)

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A woodworker spends a total of 162 hours making 24 birdhouses. He spends the same amount of time on each birdhouse. How many hou
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6.75 hours

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162 divided 24

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What are the coordinates of the vertex of the parabola with the equation y = x + 2x - 3?
loris [4]

Answer:

<em>The coordinates of the vertex are (-1,-4).</em>

Step-by-step explanation:

<u>Equation of the Quadratic Function </u>

The vertex form of the quadratic function has the following equation:

y-k=a(x-h)^2

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

We are given the function:

y=x^2+2x-3

We must transform the equation above by completing squares:

The first two terms can be completed to be the square of a binomial. Recall the identity:

x^2+2xy+y^2=(x+y)^2

Thus if we add and subtract 1:

y=(x^2+2x+1)-3-1

Operating:

y=(x^2+2x+1)-4

The trinomial in parentheses is a perfect square:

y=(x+1)^2-4

Adding 4:

y+4=(x+1)^2

Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).

The coordinates of the vertex are (-1,-4).

4 0
2 years ago
While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top o
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Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

      = 150 × 1.1106

     = 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

7 0
2 years ago
A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the
denis-greek [22]

Answer:

38.60mm

Step-by-step explanation:

Step one:

Given data

We are given that the dimension of the triangles are length 23 mm and 31 mm

Let us assume that the triangle is a right angle triangle

Step two:

Applying the Pythagoras theorem we can find the third as

z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\

square both sides

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Hence a possible dimension of the third side is 38.60mm

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3 years ago
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