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2 years ago

If mAD=85 degrees and mBC=31 degrees find the value

Mathematics

1 answer:

Eddi Din [679]2 years ago

7 0

Answer: x = 11

To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.

Now, write the equation: 122 = 13x - 21

Solve this, to find the x = 11.

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The function f(theta) and g(theta) are sine functions where f(0) = g(0) = 0. The amplitude of f(theta) is twice the amplitude of

lana66690 [7]

Because the values of both functions is 0 at ∅ = 0, both have an equilibrium position of 0.
Next, we can use the given value of f(∅) to find the amplitude:
4 = Asin(π/4)
4 = A(√2 / 2)
A = 8 / √2
We halve this amplitude to find the amplitude of g(∅):
A = 4 / √2
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g(∅) = 4sin(∅/2) / √2

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2 years ago

"On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wi

Vika [28.1K]

0.25 inches represents 1 mile

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Find 1 inch:
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1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles

----------------------------------------------
Find 3.75 inches:
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1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
3.75 inches represent 15 miles

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Find 2.25 inches:
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1 inch represents 4 miles
2.25 inches represent 4 x 2.25 miles
2.25 inches represent 9 miles

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Find Area:
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Area = Length x Width
Area = 15 x 9
Area = 135 miles²

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Answer: 135 miles²
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6 0

2 years ago

Read 2 more answers

A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror. The pipe is lo

vodomira [7]

Answer: $x^2=32y$

Step-by-step explanation:

Given: A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror.

The pipe is located 8 inches from the vertex of the mirror.

Assume the vertex is at the origin.

If the parabola opens upwards

then the coordinates of focus= (0,8)

We know that equation of parabola with focus (0,a) and open upards is of the form (vertex=(0,0)) is

$x^2=4ay$

Substitute the value of a=8 in equation, we get

$x^2=4\times8y$

$\Rightarrow\ x^2=32y$

Therefore, equation of the parabola that models the cross section of the mirror is $x^2=32y$

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2 years ago

Which sentences highlight the protection of consumer rights? Steven and Samuel are managers in different retail stores. Steven a

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The basic consumer right includes "Right to be informed" that states the availability of information required for weighing alternatives, and protection from false and misleading claims in advertising and labeling practices.

Hence, the sentence "Steven allows customers to look at different products and verify the product details before choosing a product. Steven’s priority is satisfied customers" - justifies the definition of consumer rights.

So, this above sentence highlights the protection of consumer rights.

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2 years ago

Jason collects baseball cards. He bought one card for $25. Its current value is represented by the expression 25(1.02)t, where t

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Is Jason’s baseball card going up by 2% every year for example

Jason’s baseball card after 1 year is
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2 years ago