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3 years ago

Please help I don't understand

Mathematics

1 answer:

Yuri [45]3 years ago

6 0

If they are similar they are by a ration of 1:2 but you dont know all the angles or all the sides.

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You drive 1244.5 miles and use 47.5 gallons of gasoline. What is your car’s gas

dalvyx [7]

Answer:

$\large \boxed{\text{26.2 mi/gal}}$

Step-by-step explanation:

$\begin{array}{rcl}\text{Mileage} & = & \dfrac{\text{Total miles}}{\text{Total gallons}}\\\\& = & \dfrac{\text{1244.5 mi}}{\text{47.5 gal}}\\\\& = & \textbf{26.2 mi/gal}\\\end{array}\\\text{Your car's gas mileage is $\large \boxed{\textbf{26.2 mi/gal}}$}$

3 0

3 years ago

Determine whether the following events are mutually exclusive. Choosing a student who is a mathematics major or a chemistry majo

dem82 [27]

Answer:

The events are mutually exclusive.

Step-by-step explanation:

Mutually exclusive event is simply event where the occurrence of one prevents the occurrence of the other. Better put - a disjointed event.

From the illustration, we have been given an assumption, which is, each student has only one major. As such, we have two independent events:

1. A student who only majors in Mathematics

2. A student who only majors in Chemistry.

The implication is that any student chosen could only possess one major and from the illustration, we could only choose one. It therefore follows that choosing one student major prevents the opportunity to field another student major.

Hence, we say such events are mutually exclusive.

4 0

4 years ago

A company sells its product for $59 per unit. Write an expression for the amount of money received (revenue R) from the sale of

zaharov [31]

Answer:

$R = 59x$

Step-by-step explanation:

We are given the following in the question:

Cost per unit = $59

Let x units of product be sold.

We have to write an expression the amount of money received (revenue R) from the sale of x units of the product.

Revenue:

It is the total income and is obtained by multiplying the quantity of goods sold by the unit price of the goods.

Revenue =

$\text{Unit Cost}\times \text{Units sold}\\R = 59x$

is the required expression of revenue.

6 0

4 years ago

Write the equation of the line that passes through the point (-2,-3) and has a slope of 5.

kolezko [41]

Answer: y=5x+7

Step-by-step explanation:

Since we are given the slope, all we have to do is plug in the given point and solve for the y-intercept.

-3=5(-2)+b [multiply]

-3=-10+b [add both sides by 10]

b=7

Now, we know the equation is y=5x+7.

6 0

3 years ago

Am I correct on question #6?

pashok25 [27]

Option A:

$\tan(105^\circ)=-(2+\sqrt{3})$

Solution:

<u>To evaluate tan(105)°:</u>

105° can be written as sum of 60° and 45°.

tan(105)° = tan(45 + 60)°

Using the summation identity:

$$\tan (x+y)=\frac{\tan (x)+\tan (y)}{1-\tan (x) \tan (y)}$

$$\tan \left(105^{\circ}\right)=\frac{\tan \left(45^{\circ}\right)+\tan \left(60^{\circ}\right)}{1-\tan \left(45^{\circ}\right) \tan \left(60^{\circ}\right)}$