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Papessa [141]
2 years ago
11

1. In the diagram below, segment AB is tangent to circle C at point D and AC LBC. If m

Mathematics
1 answer:
katrin2010 [14]2 years ago
7 0

Answer:

∠ DCB = 28°

Step-by-step explanation:

∠ ACD = 180° - (90 + 28)° = 180° - 118° = 62° , then

∠ DCB = 90° - 62° = 28°

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given the equation y=-2x^2+1. determine the direction of opening, coordinates of the vertex, Maximum or minimum value and the ax
Andreas93 [3]
The sign of the term in x^2 is negative  so the graph will open downwards.
when x = 0 y = 1
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the maximum value of the function is 1
and the axis of symmetry ix x = 0 (  the y axis)
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2 years ago
Please please help me please
Butoxors [25]

Answer:

Step-by-step explanation:

height of a triangle=4x-1

base=5x+2x-3

=7x-2

area of triangle=base*height/2

=(7x-2)(2x-3)/2

=7x*2x-7x*3-2*2x+2*3/2

=14x^2+21x-4x-6/2

=14^2+17x-6/2

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(7x-2)(4x+1)

7x(4x+1)-2(4x+1)

4x*7x+7x*1-2*4x-2*1

=28x^2+7x-8x-2

=28x^2-x-2

area of shaded part=area of rectangle-area of triangle

=(28x^2-x-2 )-\frac{14x^2+17x-6}{2}

7 0
2 years ago
Math problem
dezoksy [38]
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6 0
3 years ago
What does x and y =??????
Kazeer [188]

Answer:

x=30. y=60

Step-by-step explanation:

DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.

6 0
2 years ago
Find the area of following rhombuses. Round your answers to the nearest tenth if<br> necessary.
polet [3.4K]

Answer:

Area =55.4ft^2

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

\tan(60) = \frac{4\sqrt 3}{x}

Solve for x

x = \frac{4\sqrt 3}{\tan(60)}

\tan(60) = \sqrt 3

So:

x = \frac{4\sqrt 3}{\sqrt 3}

x = 4

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

Base = 4\sqrt 3

Height = 4

So, the area of the rhombus is 4 times the area of 1 triangle

Area = 4 * \frac{1}{2} * Base * Height

Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4

Area =2 * 4\sqrt 3 * 4

Area =55.4ft^2

7 0
3 years ago
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