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3 years ago

I need help quickly with these problems please see the images thank you so much

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

Using cosine law:
24 ^ 2 = 10 ^ 2 + 16 ^ 2 -2 * 10 * 16 * cos (G)
Clearing we have:
cos (G) = (24 ^ 2-10 ^ 2-16 ^ 2) / (- 2 * 10 * 16)
cos (G) = - 0.6875
Clearing the angle:
G = acos (-0.6875)
G = 133.4325366
Rounding:
G = 133.4
Answer:
G = 133.4
option 4

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For his phone service, Charlie pays a monthly fee of $ 18 , and he pays an additional $ 0.06 per minute of use. The least he has

schepotkina [342]

Answer:

Charlie has used his phone in a month for at least 1404 minutes

Step-by-step explanation:

In order to solve this problem, we must first determine what will our variable be and what it will represent.

Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.

After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

$18+0.06x\geq 102.24$

so now we can solve that inequality for x, we can start by subtracting 18 from both sides, so we get.

$18+0.06x-18\geq 102.24-18\\\\0.06x\geq 84.24$

Next, we can divide both sides of the inequality by 0.06 so we get:

$0.06x/0.06\geq 84.24/0.06\\\\x\geq 1404$

so that's where the answer came from. Charly has used an amount of at least 1404 minutes

7 0

3 years ago

Please help me find the total area of the composite figure below (geometry)

Akimi4 [234]

Answer:

lw + $\frac{1}{2}$ × π × $(\frac{l}{2} )^{2}$ ⇒ Answer D is correct

Step-by-step explanation:

First, let us find the area of the semi-circle.

Area = $\frac{1}{2}$ × π × r²

Given that,

diameter of the semi-circle is ⇒ l

∴ radius ⇒ l / 2

Let us find it now.

Area = $\frac{1}{2}$ × π × r²

Area = $\frac{1}{2}$ × π × $(\frac{l}{2} )^{2}$

Secondly, let us find the area of the rectangle.

Area = length × width

Given that,

length ⇒ l

width ⇒ w

Let us find it now.

Area = length × width

Area = l ×w

Area = lw

And now let us find the total area.

Total area = Area of the rectangle + Area of the semi - circle

Tota area = lw + $\frac{1}{2}$ × π × $(\frac{l}{2} )^{2}$

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2 years ago

PLEASE HELP!!! Solve for X... Cos30=x/8 Answer MUST be in radical form. NO DECIMALS.

Ivenika [448]

cos(30)=x/8

Rewrite the equation as

x/8=cos(30)

Multiply both sides of the equation by

⋅

x/8=8⋅cos(30)

Simplify both sides of the equation.

Tap for more steps...

x=4√3

The result can be shown in multiple forms.

Exact Form:

x=4√3

Decimal Form:

x=6.9282032

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3 years ago

Find the measure of the missing angle using the triangle angle sum theorem

Greeley [361]

Answer:

m∠60

Step-by-step explanation:

30 + 90 = 120

180-120=60

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3 years ago

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Inductive reasoning involves applying a general rule to a specific situation.

Elenna [48]

I believe the correct answer is true. Inductive reasoning involves applying a general rule to a specific situation. It is a logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion. Hope this answers the question.

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3 years ago