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2 years ago

Which situation can be modeled by the equation 45−2.50x=11.50?

Mathematics

2 answers:

zavuch27 [327]2 years ago

4 0

Answer:

I think either A or D. not sure tho. sry!

zvonat [6]2 years ago

3 0

“A” because it said decrease which is subtraction and when it said $2.50 each week they meant 2.50x.

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7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th

Fed [463]

Here a right angled triangle given. one angle with measure $45^o$ given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle $45^o$ is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is $sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}$ , where x is the angle given.

To get x, we will use tan. So we will get,

$tan(45^o) = \frac{4}{x}$

We know the value of $tan(45^o) = 1$ . By substituting the value we will get,

$1 =\frac{4}{x}$

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

$(1)(x) = (\frac{4}{x}) (x)$

$x = 4$

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

$sin(45^o) =\frac{4}{y}$

we know the value of $sin(45^o) =\frac{\sqrt{2}}{2}$

By substituting the value we will get,

$\frac{\sqrt{2}}{2} = \frac{4}{y}$

By cross multiplying we will get,

$(\sqrt{2}) (y) = (4)(2)$

$\sqrt{2}y = 8$

We will get y by dividing both sides by $\sqrt{2}$ , we will get,

$\frac{\sqrt{2}y}{\sqrt{2}} =\frac{8}{\sqrt{2} }$

$y =\frac{8}{\sqrt{2} }$

Now we will rationalize the denominator by multiplying $\sqrt{2}$ to the top and bottom.

$y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}$

$y =\frac{8\sqrt{2}}{2}$

$y = 4\sqrt{2}$

So we have got the required values of x and y.

8 0

3 years ago

Read 2 more answers

I found this answer on the Internet. *If* it were an original answer, below is how I would grade it and why.

Dennis_Churaev [7]

Answer:

1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

4 0

3 years ago

The length of time of the school field day was decreased

Tju [1.3M]

18% because take the first digits of each number and put them together lol

8 0

3 years ago

Alan drew several three-dimensional figures. Which of the following figures has exactly 5 faces and 5 vertices?

Marat540 [252]

Answer:

Rectangular Pyramid

Step-by-step explanation:

we know that

A rectangular pyramid is a three-dimensional figure that has a rectangular base and four lateral triangular faces

The total number of faces is 5 (one rectangular face plus four triangular faces)

The total number of vertices is 5 (four at the base and one at the apex)

5 0

3 years ago

50% of a certain number is 39. What is the number?

Allushta [10]

Let that certain number be 'n'

50% (n) = 39

50% ⇒ 0.5

0.5 (n) = 39

Divide both sides by 0.5

0.5n = 39
/0.5 /0.5

n = 78.

So that certain number is actually 78! :)

CROSS CHECK:

50% of 78

0.5 × 78

= 39

Hope this helps! :)

8 0

3 years ago