Answer:
a. The approximate surface area of the Earth based on the diameter of the Earth measured from the poles is approximately 1.961 × 10⁸ mi²
The approximate surface area of the Earth based on the diameter of the Earth measured from the equator is approximately 1.974 × 10⁸ mi²
b. The surface area of the water on Earth using the diameter of the Earth measured from opposite points of the equator is approximately 1.480 × 10⁸ mi²
Step-by-step explanation:
The given parameters are;
The diameter of the Earth measured from the North to the South pole, [tex]D_p[/tex] = 7899.83 miles
The diameter of the Earth measured from (across) opposite points of the equator, [tex]D_e[/tex] = 7926.41 miles
a. The surface area, [tex]A_E[/tex], of the Earth, taking the Earth as a perfect sphere, is given as follows;
A = 4 × π × r²
Where;
r = The radius of the sphere = 1/2 × the diameter of the sphere
For the diameter measured from poles, [tex]r_p[/tex] = [tex]D_p[/tex]/2 = (7899.83 miles)/2 = 3949.915 miles
The approximate surface area of the Earth based on the diameter of the Earth measured from the poles, [tex]A_{Ep}[/tex] = 4 × π × (3949.915 miles)² = 196058359.283 mi² ≈ 1.961 × 10⁸ mi²
For the diameter measured from equator, [tex]r_e[/tex] = [tex]D_e[/tex]/2 = (7926.41 miles)/2 = 3963.205 miles
The approximate surface area of the Earth based on the diameter of the Earth measured from the equator, [tex]A_{Ee}[/tex] = 4 × π × (3963.205 miles)² = 197379906.233 mi² ≈ 1.974 × 10⁸ mi²
b. The percentage of the surface area of the Earth covered by water ≈ 75%
The surface area of water on Earth using the diameter of the Earth = 7926.41 miles (the diameter measured from the equator), we have;
The area of the Earth with a diameter of 7926.41 miles was given as [tex]A_{Ee}[/tex] = 4 × π × ((7926.41 miles)/2)² = 197379906.233 mi²
The surface area of the water on Earth = 75% × The area of the Earth = 75/100 × 197379906.233 = 148034929.675 mi² ≈ 1.480 × 10⁸ mi²
Find the sum (5p+11)+(8p-4)
Answer:
13p + 7Step-by-step explanation:
Combine your like terms!
Hope this helps!
What property justifies line 2 to line 3? 4 – 3x2 + 2x – x2 + 3 + x2 Line 1 4 + 3– x2 + x2 – 3x2 + 2x Line 2 7– x2 + x2 – 3x2 + 2x Line 3 7 + 0 – 3x2 + 2x Line 4 7 – 3x2 + 2x
Given:
The steps of simplification of the expression.
[tex]4-3x^2+2x-x^2+3+x^2[/tex]
To find:
The properties to justify the line 2 and line 3.
Solution:
We have,
[tex]4-3x^2+2x-x^2+3+x^2[/tex]
Line 1: [tex]4+3-x^2+x^2-3x^2+2x[/tex] (Rearranging the terms)
Line 2: [tex]7-x^2+x^2-3x^2+2x[/tex] (Combining the constant terms)
Line 3: [tex]7+0-3x^2+2x[/tex] (Additive inverse property)
Line 4: [tex]7-3x^2+2x[/tex] (Additive identity property)
Therefore, the justifications of Line 2 and Line 3 are combining the constant terms and additive inverse property respectively.
I needdd helpp :)))))
Liam scored 2 goals out of 5 tries. What percent
did he score?
Answer:
40%
Step-by-step explanation:
because im just built different
Triangle ABC has an altitude AH that lies in the exterior of the triangle which of the following could be true about this figure
Answer:
In triangle ABC, angle B is obtuse.
Step-by-step explanation:
The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.
21) Karen gets paid $5 for every hour plus $15 a day when she works in her neighbor's yard. If she made $40 yesterday, how many hours did she work?
show the work.
Answer:
40/5 = 8
So Karen worked 8 hours yesterday.
Step-by-step explanation:
What are the solution points for the system graph?
Question 12 options:
A)
(–2,8) and (–4,4)
B)
(8,–2) and (4,–4)
C)
(–2,4) and (–4,8)
D)
(–2,–4) and (4,8)
Answer:
The answer is D. (-2,-4) and (4,8). These are the two points that the two lines intercept.
What is the solution of 5/2x-7=3/4x+14
Answer:
x = 12
Step-by-step explanation:
A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Small problem....
There is no graph!
ill be happy to solve this if i saw a graph
In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?
Answer:
FH = 38
Step-by-step explanation:
Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH
The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other
thus,
3x + 4 = 5x - 6
5x-3x = 6+ 4
2x = 10
x= 10/2
x = 5
but Eg is 5x-6
and FH = 2EG
FH = 2(5x-6)
FH = 10x - 12
Substitute x = 5
FH = 10(5) -12
FH = 50-12
FH = 38
The length of FH is 38.
The calculation is as follows:
3x + 4 = 5x - 6
5x-3x = 6+ 4
2x = 10
x = 5
Here EG is 5x-6
and FH = 2EG
So,
FH = 2(5x-6)
= 10x - 12
Substitute x = 5
= 10(5) -12
= 50-12
= 38
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Help pls
Which point on the number line represents the rational
number-2 3/5?
23 ?
A
B
C
D
Answer:
c
Step-by-step explanation:
C is 3/5 of the way down on section -2
Answer:
Its A
Step-by-step explanation:
I just answered on edge
How do you solve this
Answer:
<ABC=82°
< FEC=90°
Step-by-step explanation
Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.
Answer:
10,2
Step-by-step explanation:
Please help? I've been trying for a while
Answer:
3 hours
Step-by-step explanation:
yes.
help pls!!!!!!!!!!!!!
The percentages, from left to right, are:
1) 56.25%
2) 18.75%
3) 18.75%
4) 6.25%
How to get the percentages?In this case, the 100% is 16.
We know that there are 9 individuals with black fur and black eyes, so we can write the equations:
100% = 16
X% = 9
We want to find the percentage X%. By combining these equations we get:
X% = (9/16)*100% = 56.25%
Now we can use the same equations for the other genotypes.
There are 3 units with black fur and red eyes, here the percentage is:
p = (3/16)*100% = 18.75%
There are 3 units with white fur and black eyes, so the percentage is:
p = (3/16)*100% = 18.75%
There is 1 unit with white fur and red eyes, so the percentage is:
p = (1/16)*100% = 6.25%
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Can somebody answer this short word problem but show the steps when u get answer thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
8 dozen gingerbread men
Step-by-step explanation:
2 + 3 = 5
120 ÷ 5 = 24
24 x 4 = 96
96 ÷ 12 = 8
Some pencils are to be shared between Grade 7, Grade 8 and Grade 9 students in the
ratio 3:5:6 respectively. If Grade 8 students receive 196 more than Grade 7 students, find
the total number of pencils shared.
Answer:
1312
Step-by-step explanation:
if grade 8 has 196 more, that means 196 represents two cause 5 is 2 more than 3, so then you divide 196 in half to get 98, then add 196 and 98, so grade 7 gets 294 pencils, the to find how many for grade 8 you take 294 plus 196 and get 460 so grade 8 gets 460, and for grade 9 you add 460 and 98 to get 558, then just add, 294, 460, and 558 and you get 1312. hope this helps
find the slope of the line passing through the following steps of points: (7,-4) and (-3,8)
Answer:
-3
Step-by-step explanation:
Finding the Equation of a Line Given Two Points:
Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the
equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-
intercept. So, how do you find the equation of a line? There are several different ways that you can find
the equation of a line. I find the equation of a line everytime by following the same three steps:
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept.
Step 3: Use steps 1 and 2 to write the answer.
I will explain these steps by looking a several examples. Please understand that there are often several
different ways to complete each math problem, but I have found through the years that students are most
successful when the do problems the same way each and every time they attempt the problem. If you
know a different way to find the answer that is great, but I am going to show how to do the problem one
way and use the same technique everytime I see this problem.
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
( )
( )
So the slope of the slope of the line passing through these two points is 3.
Step 2: Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and
we get:
y = 3x + b
Next choose one of the two point to plug in for the values of x and y. It does not matter
which one of the two points you choose because you should get the same answer in either
case. I generally just choose the first point listed so I don’t have to worry about which
one I should choose.
(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.
–2 = –3 + b Solve for b and you will have the y-intercept. b=1
Step 3: Write the answer.
Using the slope of 3 and the y-intercept of 1, the answer is:
y = 3x + 1
the radius of a circle is 4.53 inches what is the length of the circumference of the circle ?
Answer:
28.46in
Step-by-step explanation:
C=2πr
C=2π*4.53
C≈28.46in
PLS HELP ILL GIVE BRAINLIEST WHOEVER ANSWERS PLS :(
Answer:
stem: 5
leaf: 0, 6
stem: 6
leaf: 0, 2, 5, 6
stem: 7
leaf: 1, 5
stem: 8
leaf: 6
stem: 9
leaf: 9
i hope this helps <3
Step-by-step explanation:
All I need is help on these two so plz help me finish !!
Answer:5.86 9.26
Step-by-step explanation:
Answer:
For the first one it's 53 small cubes can fit in the right rectangle prism. For the second one the answer is A=120
Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?
Answer:
Where's the graph? I need the graph to answer
Approximately 175 cups of tea can Christina expect to sell during the eighth hour.
We need to find how many cups of tea can Christina expect to sell during the eighth hour.
How to interpret the graph?To interpret a graph or chart, read the title, look at the key, and read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.
From the given graph we can see that corresponding to the x-axis for the 8th hour along the y-axis 175 cups of tea were sold.
Therefore, 175 cups of tea were sold.
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Mr. Gurung sold a bicycle for Rs 18,816 and made a profit of 12%. if he wants
to increase his profit by 3%, at what price should be sell the bicycle
please help me:(
Answer:
Rs. 23520
Step-by-step explanation:
Given that :
At 12% profit ; sales price = 18,816
At (12 + 3)% profit ; sales price = x
Hence,
0.12 = 18,816
0.15 = x
Cross multiply ;
0.12x = 0.15 * 18816
0.12x = 2822.4
x = 2822.4 / 0.12
x = 23520
Hence, sales price for a 3% increaa in profit should be Rs. 23520
What is the length of BC?
Enter your answer in the box.
Answer:
Line BC = 17
Step-by-step explanation:
Since Angle B and Angel C are congruent, the opposite lines are also congruent. (line CA is congruent to line BA)
Therefore:
x+9 = 2x -8
17 = x
x = Line BC
Line BC = 17
If A= {3 -2 and B= {0 -1 then what is AB?
1 4} 3 2}
Step-by-step explanation:
[tex]ab = ob - oa \\ ab = \binom{0}{ - 1} - \binom{3}{ - 2} \\ ab = \binom{ - 3}{ - 1} [/tex]
the cost of 5 books and 4 pens is 115. if the cost of 1 book is RS 15 ,find the cost of 7 pens
Answer:
The cost of 7 pens is RS 70
Step-by-step explanation:
Let c=the cost of one book and p=the cost of one pen
5b+4p=115
b=15
5(15)+4p=115
75+4p=115
4p=115-75
4p=40
p=40/4
p=10
7p=7*10
7p=70
The cost of 7 pens is RS 70
Plz help me if your a Genius at math!!!and I will gave Brainliest
Answer:
320
190
318
42.241951146971
Step-by-step explanation:
9514 1404 393
Answer:
320 units²190 units²318 units²43.8 units²Step-by-step explanation:
The area formula for a rectangular prism is ...
A = 2(LW +H(L+W))
For (L, W, H) = (8, 8, 6) ...
A = 2(8·8 +6(8+8)) = 2(64 +96) = 320 . . . square units
For (L, W, H), = (2, 9, 7) ...
A = 2(2·9 +7(2 +9)) = 2(18 +77) = 190 . . . square units
For (L, W, H) = (6, 7, 9) ...
A = 2(6·7 +9(6 +7)) = 2(42 +117) = 318 . . . square units
__
The area of the triangular prism is the sum of its triangular base areas and the lateral area. The lateral area is the product of the base perimeter and the length of the prism.
A = 2(1/2)bh +PL
= 3(2.6) +(3+3+3)·4
= 7.8 +9·4 = 43.8 . . . square units
need help ASAP!!!! last minute hw i need to do
Our range is all set of y-values. Focus on y-value only.
Our range is {1,5,-1,7,-2}
So the answer is 1, 5,-1,7 and 2
How many terms are in 12x - 3 = 18
Answer: 1.75
Step-by-step explanation:
12x-3=18
+3 +3
12x=21
12 12
x=1.75
I NEED HELP IF YOU DONT KNOW THE ANSWER DONT COMMENT.
Please help me
Answer:
Yeah
Step-by-step explanation:
1. understand time management
2. Value time.
3. use time wisely
4. take advantage of the opportunity of extra time.
5. smile, it's all linear! : )