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3 years ago

A diagonal of a square is 36 feet long. What is the area of the square?

1 answer:

3 0

So you can you the Pythagorean theorem to solve this problem.

if each side of the square is a certain length x, then the square is made up of two right triangles.

the sides adjacent to the right angle are length x while the hypoteneus is the diagonal whcih measures 36 feet.

a^2 + b^2 = c^2

x^2 + x^2 = 36^2

2x^2 = 1296

x^2 = 648

x = 25.456

area of a square = x^2 = 648 ft^2

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Match the words in the left-hand column to the appropriate blank in the sentences in the right-hand column. Use each word only o

pshichka [43]

The slowly increasing distance between South America and Africa is due to: a. <u>Seafloor Spreading</u>.
Old Faithful Geyser at Yellowstone National Park in the United States of America acquires its energy from a: b. Hot Spot.
Layered <u>sedimentary rock</u> exposed by erosion can be seen when looking at the Grand Canyon in the United States of America.
Australia is made up of relatively old and thick: d. Continental Crust.
The extremely deep ocean Marianas Trench is a result of: g. Subduction.
<u>Seafloor Crust</u>: found in the Atlantic Ocean between North America and Europe comprises dense and relatively young rock.
The earthquakes that occur in Southern California generally occur above a: f. Fault.

<h3>What is seafloor spreading?</h3>

<u>Seafloor spreading</u> can be defined as a process that involves the formation of new oceanic crust as a result of volcanic activities and an upwelling of molten magma at mid-ocean ridges, as well as a slowly increasing distance (outward movement) from the ridge.

The theory of <u>seafloor spreading</u> was established by Harry Hammond Hess and it can be used to explain in details the slowly increasing distance between South America and Africa which grows from the center.

A <u>hot spot</u> refers to an area deep within Earth's mantle or under the rocky outermost layer of Earth, from which heat rises through convection and acquired as heat energy by a landform.

In the United States of America, you will see a layered <u>sedimentary rock</u> that is exposed by erosion when you view the Grand Canyon.

Furthermore, Australia is made up of relatively old and thick <u>continental crust</u>. Also, <u>subduction</u> causes the formation of extremely deep ocean Marianas Trench.

Read more on seafloor spreading here: brainly.com/question/12037536

7 0

2 years ago

Jane dropped Kinsley off at a train station and left at the same time that Kinsley's train departed. They are moving in the exac

Shkiper50 [21]

The after 29 minutes 38 seconds, Jane and Kinsley will be 47 miles apart if they are moving in the exact opposite directions.

<h3>What is distance?</h3>

A numerical representation of the distance between two items or locations called distance. A physical length or an approximation based on other considerations in physics or common usage can be referred to as distance.

Let's suppose the at time t they are 47 miles apart.

We know, distance = speed×time

(44+51)t = 47

t = 47/95

t = 0.494 hours

t = 29 minutes 38 seconds

Thus, the after 29 minutes 38 seconds, Jane and Kinsley will be 47 miles apart if they are moving in the exact opposite directions.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

7 0

2 years ago

On Monday Jill ought 3 teas and 5 coffees for £10.50 On Tuesday she bought 4 teas and 4 coffees for £10 On Wednesday she bought

Lynna [10]

Answer:

my dude that likes crazy hard I feel bad for u cuz I've been trying to figure it out and still can't seem to get it and I even asked 3 adults and they couldn't help me either

7 0

2 years ago

ASAP HELP FOR NUMBER 13!!

horrorfan [7]

Problem 13a

Each column of the table represents an (x,y) pairing. The first column has x = 0 and y = 2 so (0,2) is one point on this line. Since x = 0 here, this means that we have the y intercept. The y intercept is 2. We'll use this later.

Another point on this line is (3,8) which is drawn from the second column.

Use the two points (0,2) and (3,8) to find the slope m
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-0)
m = 6/3
m = 2

Since the slope is 2 and the y intercept is 2 (see above), this means m = 2 and b = 2

Plug those into y = mx+b and we get y = 2x+2

Answer: y = 2x+2

==============================================
Problem 13b

(0,20) is on the line as the first column shows. The y intercept is 20 since x = 0 here. So b = 20

Another point on this line is (3,8) as drawn from the second column

Slope:
m = (y2-y1)/(x2-x1)
m = (8-20)/(3-0)
m = -12/3
m = -4

Use the slope (m = -4) and the y intercept (b = 20) to get...
y = mx+b
y = -4x+b ... replace m with -4
y = -4x+20 ... replace b with 20

Answer: y = -4x+20

==============================================
Problem 13c

(2,5) and (4,8) are on the line. These two points are drawn from columns 1 and 2 respectively.

Slope
m = (y2-y1)/(x2-x1)
m = (8-5)/(4-2)
m = 3/2
m = 1.5

Note: the fraction 3/2 is equivalent to the decimal form 1.5

Use the slope m = 1.5 along with (x,y) = (2,5) to find the value of b
y = mx+b
y = 1.5x+b ... m is replaced with 1.5
5 = 1.5*2+b ... plug in (x,y) = (2,5)
5 = 3+b
5-3 = 3+b-3
2 = b
b = 2

So we can now update y = mx+b to y = 1.5x+2

Answer: y = 1.5x+2

Note: If your teacher wants a fraction instead of a decimal (for the slope), then you would write $y = \frac{3}{2}x+2$
==============================================
Problem 13d

(0,20) is on the line. So the y intercept is 20, indicating that b = 20

(3,11) is also on the line

Again as done with 13a-13c, I'm only looking at the first two columns.

Slope
m = (y2-y1)/(x2-x1)
m = (11-20)/(3-0)
m = -9/3
m = -3

Therefore
y = mx+b
turns int
y = -3x+20
after replacing m and b with the values we found earlier

Answer: y = -3x+20

6 0

3 years ago

Which fraction is the largest?

Alexeev081 [22]

Answer:

17/30

Step-by-step explanation:

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3 years ago