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djyliett [7]
3 years ago
10

Point O is the center of the circle in the diagram. What is m∠BCA ?

Mathematics
1 answer:
netineya [11]3 years ago
7 0
The sum of angle around a point equal 360°
so (BOA) = 360-250=110°
and the sum of angle in the shape CAOB = 360°
so BCA = 360-(110+90+90)= 70°
THE ANSWER IS C.70°
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Rectangle R has varying length l and width w but a constant perimeter of 4 ft. A. Express the area A as a function of l. What do
ivanzaharov [21]
Given:
l = length of the rectangle
w = width of the rectangle
P = 4 ft, constant perimeter

Because the given perimeter is constant,
2(w + l) = 4
w + l = 2
w = 2 - l            (1)

Part A.
The area is
A = w*l 
   = (2 - l)*l
 A  = 2l - l²
This is a quadratic function or a parabola.

Part B.
Write the parabola in standard form.
A = -[l² - 2l]
   = -[ (l -1)² - 1]
   = -(l -1)² + 1
This is a parabola with vertex at (1, 1). Because the leading coefficient is negative the curve is downward, as shown below.

The maximum value occurs at the vertex, so the maximum value of A = 1.
From equation (1), obtain
w = 2 - l = 2 - 1 = 1.
The maximum value of the area occurs when w=1 and l=1 (a square).

Answer:
The area is maximum when l=1 and w=1.
The geometric argument is based on the vertex of the parabola denoting maximum area.

4 0
3 years ago
Joy drew a triangle with one right angle how should she classify this triangle
olganol [36]
She drew a right triangle
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3 years ago
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Nia is baking pies for the party. Each pie requires 2 1/2 cups of
Rashid [163]

Answer:

2.93

Step-by-step explanation:

8 0
2 years ago
The table shows the relationship between the number of Calories Lucie burns while jumping rope and the number of minutes she jum
iragen [17]

Answer:

The amount of calories Lucie will burn by jumping for 1 minute is 8 calories

Step-by-step explanation:

The given data values are;

Minutes {}                  Calories Burned

40                {}            320

80        {}                    640

120 {}                          960

160 {}                          1280

The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;

40 minutes of jump rope will yield 320 calories burnt

Therefore we have;

1 minute of jump rope will yield 320/40 = 8 calories burnt

The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.

8 0
3 years ago
The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel
larisa [96]

Answer:

225

Step-by-step explanation:

The sum total of all the angles is 7,740 degrees,

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Set this equal to 7740

180 (n-2) = 7740

Divide each side by 180

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n-2+2 = 43+2

n = 45

Each vertex hold 5 people so take n and multiply by 5

45*5 = 225

The Ferris wheel holds 225 people

3 0
3 years ago
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