Question 12(Multiple Choice Worth 3 points)
(02.04 MC)

Which of the following statements describes an interaction between the atmosphere and biosphere?

Water and its vapor move through air.
Earth's internal heat warms the layer of air around it.
Oceans provide an environment for sustaining marine life.
Life is possible on Earth due to layers of air that surround it.

Answer:  9 ab is the area of the garden.

No scale or dimensions are given, so

Estimating to get a practical, reasonable answer:

Using typical walkway widths to 6 ft, it is reasonable to calculate the area the red triangle to be 486 square feet

and the area of the garden to be about 4400 square feet, rounding up.

OR

Using a metric standard of 2 meters, The area of the red triangle would be 54m²

The area of the garden would be about 500m²

Step-by-step explanation:

The area of the red triangle is [tex]A = \frac{ab}{2}[/tex]  That is assuming that it is a right triangle and side a is the altitude or height of the triangle and side b is the base.  

The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.

Estimating from rough measurements of the triangle and the dimensions of the garden as shown, it appears that the area of the garden is about 18 times the area of the red triangle.

The area of the triangle is half the area of a rectangle with the same side lengths a & b, so 9 ab is a good estimate of the area of the garden.

If  the walkways are the typical 6 foot width found in many public gardens, and the length side b is the about 6 of those widths, and side a is about 4.5 of those widths, we can estimate the altitude to be 27 and the base to be 36 (in the proportion 3:4).

Area of the triangle estimate: A = 36ft × 27ft /2 = 486 square feet

OR

Using a metric standard, estimate  a 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be A = 9m × 12m /2 = 54 m²

The area of the garden would be 9 × 54 = 486m² rounded reasonably to 500m²

Answer: 5400

Step-by-step explanation:The area of the triangle is defined as the product of half the base and the height of the triangle. The area of the triangle = 1/2 x b x h It is given that the length of the sides are as A= 90 B=120 C=150.

So, The area of the triangle = 1/2 x b x h = b x h/2  = 120 x 90/2 = 10800/2 = 5400

Answer:

$125,000

Step-by-step explanation:

the cost of the home = (10,000/8)*100 = $125,000

Answer:

125,000

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

I am smart

Answer:

41/10

Step-by-step explanation:

Answer:

Based on what you asked i think the answer would be 4 1/10

Step-by-step explanation:

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

[tex]A=\frac{\sqrt{3} }{4} a^{2}[/tex]

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

[tex]A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}[/tex]

[tex]A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}[/tex]

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

[tex]A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}[/tex]

[tex]A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}[/tex]

Now, comparing areas:

[tex]\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )[/tex]

[tex]\frac{A_{1}}{A_{2}} =[/tex] 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

Answer:

Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.

Total number of shirts finished by Valentina [tex]=23[/tex]

Total number of shirts finished by Laura [tex]=23[/tex]

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in [tex]t[/tex] hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina [tex]=2t+15[/tex]

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura [tex]=3t+11[/tex]

Therefore,

[tex]2t+15=3t+11\\3t-2t=15-11\\t=4[/tex]

So,

Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.

Total number of shirts finished by Valentina [tex]=2(4)+15=8+15=23[/tex]

Total number of shirts finished by Laura [tex]=3(4)+11=12+11=23[/tex]

Answer:

b

Step-by-step explanation:

D

Step-by-step explanation: im smart

Answer:

Use an algebra calculator ;)

Step-by-step explanation:

it always works for me

Answer: u =4.68

Step-by-step  explanation:Move all terms not containing  u to the right side of the equation

Answer:

x=4

Step-by-step explanation:

Answer:

what's the question.

Step-by-step explanation:

lol

Answer:

whats the question of the test

Step-by-step explanation:

Answer:  D) 24

===============================================

Explanation:

Find the prime factorization of each value given

Of the four choices, only 24 has 2*3 = 6 as a factor. Something like 15 doesn't have 6 as a factor, so there's no way the GCF of 15 and 18 is equal to 6.

Focusing on 24 and 18, we see that

which shows that 6 is the GCF of 24 and 18.

Answer: thousandths

9,000

Step-by-step explanation:

Answer: thousandths

Step-by-step explanation:

9,000

Answer:

C) $2.75

Step-by-step explanation:

8.25/3 = 2.75

Answer:

C. $2.75

Step-by-step explanation:

3 cups of chocolate and each is $8.25. To solve this, the equation would be:

$8.25/3

This is equal to $2.75, so that is the answer!

( Also, 2.75 * 3 = 8.25, so it's correct! )

Answer:

The perimeter of the shape is 32.5

Step-by-step explanation:

Since the dashed line is not a perimeter,

we add the circumference of the circle plus the 3 sides of the rectangle

The circumference is of the half circle with its diameter being the opposite side of the rectangle

The opposite side is the length 10

So the radius is half of this which is 10/2 = 5

The circumference of the semicircle is thus;

pi * r = 22/7 * 5 = 15.71

full circle is 2 * pi * r

semi is half of full so we divide formula by 2

So let’s add up

15.71 + 10 + 3.4 + 3.4 = 32.51

Answer:

x = 1000

Step-by-step explanation:

To solve for x, you do the same thing to both sides to isolate x.

To isolate x in this equation, you divide both sides by 10.

10x = 10,000

10x/10 = 10,000/10

x = 1,000

Answer:

plz help

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Add all the toys together: 6 + 5 + 4 + 3 = 11 + 7 = 18

There's 18 toys in total, 3 out of 18 of the toys are teddy bears so it's 3/18 but u have to check if u can simplify it, which u can. 3/18 simplified is 1/6, we can't simplified it anymore so 1/6 is ur answer

Answer: Probability of teddy = 1/6

Step-by-step explanation:

6 + 5+ 4 + 3 = 18

Probability of teddy = ?

teddy = 3

3/18

to the lowest term -  1/6

Answer:

A,B,E

Step-by-step explanation:

Answer:

5.0

0.9

0.5

Step-by-step explanation:

Beauty is hard to accept when you are seeing it in yourself. This is a valid question to ask, however on this sight not exactly. They obviously believe they are not ugly and other people are saying they are. Models use their beauty for hype so it's not a bad thing. In this case all you are doing is giving this person more attention. Without you this wouldn't have been any of my concern. Instead of posting about someone else keep it to yourself because what you have to say about them is irrelevant. This is a homework site so to slow down the pace of things that aren't don't post stuff like this because you are just adding onto it. Thanks for the points have a great day god bless.

Answer:

28.125 degrees

Step-by-step explanation:

3/8 of 45 is 16.875

45-16.875=28.125