1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nataly862011 [7]
3 years ago
13

The average mass of an adult human is about 65 kilograms while the average mass of an ant is approximately 4×10−3 grams. The tot

al human population in the world is approximately 6.84 billion, and it is estimated there are currently about 10,000 trillion ants alive. Based on these values, about how many times greater is the total mass of living humans compared to the total mass of all living ants? Round to the nearest whole.
Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

Find total mass:

Human: 65 kg x 6,840,000,000 = 444,600,000,000 kg

Ants: 4x10^-3 = 0.004g

0.004 x 10,000,000,000,000,000 = 40,000,000,000,000g

Divide total grams by 1000 to get kegs:

40,000,000,000,000 /1000 = 40,000,000,000 kgs.

Divide total mass of humans by total mass of ants:

444,600,000,000 / 40,000,000,000 = 11.115

Mass of humans is 11.115 times more than ants.

Rounded to the nearest whole number = 11 times more.

You might be interested in
3 15/16 divided by 2 5/8Ask your question here
Alexeev081 [22]
\frac{3 \frac{15}{16}  }{2 \frac{5}{8}}  \\  \\  \frac{ \frac{63}{16} }{ \frac{21}{8} }  \\  \\ \frac{63}{16}*\frac{8}{21} \\  \\  \frac{63*8}{16*21}  \\  \\  \frac{504}{336}  \\  \\ 1 \frac{168}{336}  \\  \\ 1 \frac{168:168}{336:336} \\  \\ 1 \frac{1}{2}
3 0
3 years ago
Trigonometry:
Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0
2 years ago
Four more than twice a number is -10.
Vadim26 [7]

Answer:

4 + ( -7 X 2 ) = -10

Step-by-step explanation:

Check work:

-7 times 2 is -14.

4 + -14 = -10

5 0
3 years ago
Read 2 more answers
Martha tries to exercise at least 30 minutes eac day write an inequality to represent the number of minutes Martha exercises eac
Sergio [31]
Let “t” represent the number of minutes Martha exercises each day. If she needs to exercise *at least* 30 minutes, t has to be equal to or greater than 30, so our inequality would be

t ≥ 30
4 0
3 years ago
Find the value of b. Round your answer to the nearest tenth.
marissa [1.9K]

Answer:

Side CA = 7.8

Step-by-step explanation:

<u>Given:</u>

Acute angled \triangle ABC.

\angle B =40^\circ

AB = 10

BC = 12

We can use cosine rule here to find the side AC = b

<em>Formula for cosine rule: </em>

cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76

To the nearest tenth <em>b = 7.8</em>

8 0
3 years ago
Other questions:
  • In 2004, the world's fastest knitter was able to knit 225 stitches in 3 min. How long would she take to knit a scarf that was 20
    8·1 answer
  • A rectangle prism is11 3/5 meters long, 9 meters wide, and 121/2 meters high. What is the volume , in cubic meters, of the prism
    10·1 answer
  • What is the volume of the shed?
    10·2 answers
  • What is the value of x?
    15·1 answer
  • Answer find the volume and explain?<br> 40POINTS
    7·1 answer
  • You take a walk and notice dogs in the dog park. There are a total of 8 small and large dogs. You realize there are 2 more large
    7·1 answer
  • Someone help me out. I swear I leanred how tro do this years ago but I guess I'm not that smart
    8·1 answer
  • What is the f of x over the g of x when f(x)=6x^3-19x^2+16x-4 and g(x)=x-2?
    15·1 answer
  • A boat travels 429 miles in 13 hours (with a constant
    8·1 answer
  • Isabel is going for a walk. She walks 6.4 miles in 4 hours. What is her speed?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!