Write the equation of the line -6x – 4y = 28 in slope-intercept form

Find the surface area of the figure. Round to the nearest tenth if possible.

Cloud [144]

Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2

6 0

2 years ago

Last year the depth of the river was 4.2 feet deep. This year it dropped 25%. Find the depth of the river this year to cross it.

Novosadov [1.4K]

Answer:

The river is 3.15 feet deep.

Step-by-step explanation:

First let's recognize what we need to find: the depth of the river

We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.

y = 25% of 4.2

y = 0.25 • 4.2

y = 1.05

This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.

d = 4.2 - 1.05

d = 3.15

The river is 3.15 feet deep.

Hope this helps!

4 0

3 years ago

What is the approximate diagonal distance from one corner of a 3 inch by 5 inch index card to the opposite corner

77julia77 [94]

Answer:

5.83 inches

Step-by-step explanation:

The card is a rectangular shaped object, drawing a diagonal from one corner to the other, divides the rectangle into two right angled triangles with the diagonals as the hypothenuse.

Using Pythagoras theorem.

c^2 = a^2 + b^2

Given;

Side a = 3

Side b = 5

Substituting the given values;

c^2 = 3^2 + 5^2

c = √(9+25)

c = √34

c = 5.83 inches

7 0

3 years ago

Can someone help me with this Im not sure if My answer is correct

sergeinik [125]

Answer:

y = 2x - 3

Yes, your answer is correct.

Step-by-step explanation:

First, find the slope of the two points by using the slope formula:

y2 - y1

m = -------------

x2 - x1

13 - 5

m = -------------

8 - 4

8

m = ------- = 2

4

To find the y-intercept, plug in values into the slope-intercept formula:

y = mx + b

Where m = slope and b= y-intercept. Use any one of the points. I'll be using (4,5):

5 = (2) (4) + b

5 = 8 + b

-3 = b

b = -3

So, putting everything into the slope intercept formula:

y = 2x - 3

4 0

2 years ago

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25Then, he wan

stepan [7]

Answer:

is the correct answer.

Step-by-step explanation:

As per the question statement:

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most = $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

$\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}$

i.e.

$5.50S$

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = $\$3.25+5.50S$

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

$\bold{3.25+5.50S \le 30}$

Please refer to brainly.com/question/17138529 as well.

5 0

3 years ago

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