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3 years ago

Please help me with this math question.

Mathematics

1 answer:

alex41 [277]3 years ago

5 0

Answer:

275 m^3

Step-by-step explanation:

The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.

First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.

In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.

Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so

V=(1/3)(75/2)*22=275

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A) What is the domain and range of the graph? (Use the equations editor or explain)

riadik2000 [5.3K]

The domain: -5 < x ≤ 1 and the range: -3 ≤ y ≤ 1 is a function. b)

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

<h3>What is the domain and range of the function?</h3>

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The domain of a relation is the set of values of the independent variable for a defined function.

The domain is the horizontal extent of the graph.

The range of a relation is the set of values of the dependent variable for a defined function.

The range is the vertical extent of the graph.

The vertical line can intersect the graph in at most one place.

This graph extends from x > -5 to x = 1.

The domain

-5 < x ≤ 1 ------ (-5, 1] in interval notation

This graph extends from y = -3 to y = 1.

The left side of the graph does not include the point (-5, 1), but the right side includes the point (1, 1).

y = 1 is one of the output values of the relation.

The range

-3 ≤ y ≤ 1 . . . . . . . . [-3, 1] in interval notation

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

Learn more about the domain and range of the function:

brainly.com/question/2264373

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8 0

2 years ago

5. Ms. Lee has 220 students in all her classes. If her classes collected 2860 pounds of food, how many meals did each student pr

jarptica [38.1K]

Answer:

Each students provides 13 pounds of meal

Step-by-step explanation:

Total students in Ms. Lee class = 220

Total pounds of food collected = 2,860

how many meals did each student provide?

Meals provided by each student = Total pounds of food collected / total number of students

= 2,860 / 220

= 13 pounds

Each students provides 13 pounds of meal

Note: 1.2 pounds of food equals one meal

1.2 pounds : 1 meal = 13 pounds : x meals

1.2/1 = 13/x

1.2 * x = 1 * 13

1.2x = 13

x = 13 / 1.2

= 10.83 meals

Approximately 11 meals to the nearest number

Note:1 kilogram is 2.2 pounds

1 kg : 2.2 pounds = x kg : 13 pounds

1/2.2 = x / 13

1 * 13 = 2.2 * x

13 = 2.2x

x = 13/2.2

= 5.91 kilogram

Approximately x = 6 kilograms

3 0

3 years ago

I got 47.01816163 metres. When I tried to round it I got it wrong. Can someone please help me?

DerKrebs [107]

Answer:

28 m

Step-by-step explanation:

The top angle in the triangle = 90° - 62° = 28°

Using the cosine ratio in the right triangle

cos28° = $\frac{adjacent}{hypotenuse}$ = $\frac{25}{x}$

cross- multiply

x × cos28° = 25 ( divide both sides by cos28° )

x = $\frac{25}{cos28}$ = 28.31425... ≈ 28 m

Thus the distance from the top to the crocodile is 28 m

6 0

3 years ago

Read 2 more answers

In a science-fiction story, a spaceship travels 3 times faster each minute than it traveled during the minute before. If the shi

JulijaS [17]

The expression is:

$speed(minutes)=3\frac{km}{h} ^{minutes} \\\\speed(15minutes)=(3^{15})\frac{km}{4} =14348907\frac{km}{g}$

Why?

From the statement we know that the spaceship travels 3 times faster each minute that it traveled during the minute before, it can be expressed using an exponential function, its base will be the starting speed (during the first minute).

The expression will be:

$speed(minutes)=(3^{minutes})\frac{km}{h} \\\\speed(15minutes)=(3^{15})\frac{km}{h}=14348907\frac{km}{h}$

Have a nice day!

6 0

3 years ago

I know the value of x is congruent to the other side, confused about the square root part

Basile [38]

Answer:

I think it is that I'm not sure

$10 \sqrt{3}$

8 0

3 years ago