Answer:
11481.4875 km
Step-by-step explanation:
Given the that :
Galapagos island and Island of Naura are on the equator
Galapagos = 90.30°W
Island of Naura = 166.56°E
Ensuring same bearing is used for both :
Island of Naura = 166.56°E = (360° - 166.56°) = 193.44°W
Hence, we can calculate the difference in the bearing of both locations :
(193.44 - 90.30)°W = 103.14°
Hence the distance between Galapagos and Island of Naura along the equator is :
(Difference in bearing / total bearing) * earth's Circumference
Earth's Circumference = 40,075km
(103.14 / 360) × 40,075
0.2865 × 40,075
= 11481.4875 km
=
Factorize the following quadratic equation u²- 12 u + 35 = 0
Answer:
X₁=7 ,X₂ = 5
Step-by-step explanation:
a= 1² b= - 12 c= 35
X =[ ( -b±√b²-4ac ) / 2a]
So, use this formula and get the answer...
Even if you use the middle term formula, you will get the same answer
Linda and juan went shopping. Linda spent $19 less than Juan. If we let x represent how much juan spent, write an algebraic expression for how much Linda spent
What is the value of x that makes the given equation true? 4x−3=−12x+13 x=−3 x = 0 x = 1 x = 16
Answer:
The answer is C.
:)
Step-by-step explanation:
4x − 3= −12x + 13
4x + 12x = 13 + 3
16x = 16
x = 1
Answer:
X=1
Step-by-step explanation:
I took the k12 test and got it right
have a good life =D
the temperature at 5:00 PM is 4 degrees. By midnight, the temperature had dropped 12 degrees. What was the temperature at midnight?
Answer:
-8 degrees
Step-by-step explanation:
4-12 = -8
It dropped 12 degrees in 7 hours.
Answer: -8°
Step-by-step explanation:
4 - 12
A.$454.75
B.$502.75
C.$327.75
D.$327.25
E.None of These
Answer:
D. 327.25
Step-by-step explanation:
You start out with a gross pay of $415.00. When you have a deduction from your gross pay, it means it gets subtracted. So subtract the deductions of 48, 31.25, and 8.50 from 415 and it leaves you with 327.25.
415 48-31.25-8.50 = 327.25
How do you perform this: 2x+3y=25 3x+4y=22
Answer:
x = -34 , y = 31
Step-by-step explanation suing Gaussian elimination:
Solve the following system:
{2 x + 3 y = 25
3 x + 4 y = 22
Express the system in matrix form:
(2 | 3
3 | 4)(x
y) = (25
22)
Write the system in augmented matrix form and use Gaussian elimination:
(2 | 3 | 25
3 | 4 | 22)
Swap row 1 with row 2:
(3 | 4 | 22
2 | 3 | 25)
Subtract 2/3 × (row 1) from row 2:
(3 | 4 | 22
0 | 1/3 | 31/3)
Multiply row 2 by 3:
(3 | 4 | 22
0 | 1 | 31)
Subtract 4 × (row 2) from row 1:
(3 | 0 | -102
0 | 1 | 31)
Divide row 1 by 3:
(1 | 0 | -34
0 | 1 | 31)
Collect results:
Answer: {x = -34 , y = 31
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
Answer:
2 works
-3 is extraneous
Step-by-step explanation:
sqrt(x + 7) - 1 = x Add 1 to both sides
sqrt(x + 7) = x + 1 Square both sides
(x + 7) = (x + 1 )^2
x + 7 = x^2 + 2x + 1 Subtract x from both sides
0 = x^2 + x + 1 -7
0 = x^2 + x - 6 This will factor
(x + 3)(x - 2) = 0 Find the values for x
x + 3 = 0
x = - 3
x - 2 = 0
x = 2
Now you must check this to see if both values work
sqrt(-3 + 7) - 1 = -3
sqrt(4) - 1 = -3
2 - 1 =? - 3
1 does not equal - 3. Therefore - 3 is extraneous. Try x = 2
sqrt(2 + 7) - 1 = 2
sqrt(9) - 1 = 2
3 - 1 = 2
2 = 2
Simplify 8 + 10a - 3 + 5a when a=3
Answer:
50
Step-by-step explanation:
8 + 10a - 3 + 5a when a=3
8+10(3)-3+5(3)=
8+30-3+15=
38+15-3=50
What’s 11 + 9/35 make sure answer is a mixed number
Answer: 11 9/35
Step-by-step explanation: just add the whole number to the fraction.
Answer & Step-by-step explanation:
[tex]11+\frac{9}{35}[/tex]
Add the whole number to the fraction:
[tex]11 \frac{9}{35}[/tex]
:Done
The area of a square is 289 ft2. What is the length of each side?
Answer:
17 ft
Step-by-step explanation:
the area of a square is length x length, or [tex]length^{2}[/tex]
so, since you already have the area, do the opposite of squaring it, which is finding the square root.
[tex]\sqrt{289}[/tex] = 17
The length of each side of a square is [tex]17 feet[/tex] whose area is [tex]289 ft sq[/tex]. (mentioned in the question).
A square is a four-sided figure in which all sides are equal in length and the measure of each angle is [tex]90^0[/tex]. The area is defined as the space that is contained inside the closed boundary or perimeter or circumference.
We know that the
area of the square = [tex]side \times side[/tex]
[tex]289 ft sq[/tex] [tex]= side \times side[/tex]
[tex]289 = (side) ^2[/tex]
[tex]\sqrt{289 } = side[/tex]
[tex]17 = side[/tex]
Thus, the length of each side of a square consisting of an area of[tex]289 ft sq[/tex] is [tex]17 feet[/tex] .
Learn more about Square here :
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Which 2 statements are true
Answer:
B
Good luck in Geometry my guy!
If there are 132 stamps on a total of 12 pages in a collector's book, what the unit rate of stamps per page ?
Answer: 11 stamps per page
Step-by-step explanation: 132 divided by 12
Which is a real world example of two planes intersecting?
One example is the idea of two parts of a book that open up. Each flat part is a plane and the two planes intersect along the spine of the book.
Another example would be a wall intersecting with the floor. Both are flat surfaces.
A third example would be a laptop's screen as one plane and the keyboard as the other plane. They intersect at the hinge of the laptop.
For each example, the surface has a finite amount of area and it doesn't extend forever in all four directions. Theoretically, a plane is where the flat surface extends in all four directions infinitely. Though of course, real life has limitations but the idea is still applicable in a way.
Note how for each example, the two planes intersect to form a line. Also, each plane must be flat without bending or curving in any way.
can help me with this one?
A. 5x+9=17
B. -8x-7=15
C. 6(3×+8)=-
please send me the answer for both
Answer:
A is 1.6 and ion the other ones
In your own words define and give an example of Associative Property
Answer:
The associative property states that you can add or multiply regardless of how the numbers are grouped.
Step-by-step explanation:
3+4+9=9+3+4=4+9+3 etc
Write a verbal expression for 3n-8
Answer: Pick anyone that suits you
8 is subtracted from 3 times a numberThrice a number minus 8Step-by-step explanation:
Answer:
[tex]\large \boxed{\mathrm{Eight \ subtracted \ from \ the \ product \ of \ three \ and \ a \ number.}}[/tex]
Step-by-step explanation:
[tex]\sf 3n-8[/tex]
n is a number.
8 is subtracted from the product of 3 and a number.
The verbal expression would be :
Eight subtracted from the product of three and a number.
gabriela makes quilts to sell at charities. she can make 9 quilts with 36 yards of material. how many yards of material would she require for 13 quilts ?
According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. How many cruise passengers must there have been in 2017
Answer:
approximately 26.7 million
Step-by-step explanation:
Let x be the number of cruise passengers in 2017.
6.7% increase of x gives us 28.5 m cruise passengers in 2018.
Thus, 106.7 % of x = 28.5
[tex] \frac{106.7}{100} * x = 28.5 [/tex]
[tex] \frac{106.7x}{100} = 28.5 [/tex]
Multiply both sides by 100
[tex] \frac{106.7x}{100} * 100 = 28.5*100 [/tex]
[tex] 106.7x = 2850 [/tex]
Divide both sides by 106.7
[tex] \frac{106.7x}{106.7} = \frac{2850}{106.7} [/tex]
[tex] x = 26.7 [/tex] (approximated)
Number of passengers in 2017 must have been approximately 26.7 million
Oscar rode his bicycle at a rate of 9 mph and then speed up to 16 mph. he rode 30 minutes longer at 9 mph than he did at 16 mph. If he traveled a total of 22 miles, how long did he ride at the slower rate?
Answer:
t = 0.7 h
The time he rode at a slower speed is 1.2 h
Step-by-step explanation:
-The question involves algebra, to find the time the distance formula is used involving the values of distance, time and speed.
- distance = speed 1 * time 1 + speed 2 * time 2
If Oscar traveled for t minutes at 9mph and it took him 15 minutes longer than when he traveled at 16mph it means that:
speed 1 * time 1 + 30 minutes.
But 30 minutes converted to hours is 0.5 hours
22 miles = 9 * (t + 0.5) + 16 * t
22 = 9t + 4.5 + 16t
17.5 = 25t
17.5 / 25 = t
The answer is: t = 0.7
Checking the value in the equation:
22 miles = 9 * (t + 0.5) + 16 * t
22 = 9 * (0.7 + 0.5) + 16 * 0.7
22 = 9 * 1.2 + 11.2
22 = 10.8 + 11.2
22 = 22
The formula for the area of a triangle is a=1/2bh . If the base of the triangle is 6x units and has a height of x+3, write a simplified algebraic expression for the area of the triangle in terms of x
Answer:
a = 3x^2 +9x
Step-by-step explanation:
Put the given dimensions in the formula and simplify. The distributive property is useful.
a = (1/2)bh
a = (1/2)(6x)(x+3) = 3x(x +3)
a = 3x^2 +9x
A triangle has a perimeter of 48 inches. Side B is nine inches longer than side A. The base is 7 inches more than twice side A. What are the dimensions of the triangle?
Answer:
(A, B, C) = (8, 17, 23) inches
Step-by-step explanation:
We can let A, B, and C represent the corresponding side lengths. Then we are given ...
A + B + C = 48 . . . . . . the perimeter is 48 inches
B = A + 9 . . . . . . . . . . . B is 9 inches longer than A
C = 2A +7 . . . . . . . . . . the base (remaining side) is 7 inches more than ...
Substituting for B and C in the first equation, we have ...
A + (A+9) +(2A+7) = 48
4A = 32 . . . . . . . . . . . . . . collect terms, subtract 16
A = 8
B = A+9 = 17
C = 2A +7 = 23
Side A is 8 inches, side B is 17 inches, and side C is 23 inches.
Find the distance between these points. C(0, 4), T(-6, -3) √(37) √(109) √(85)
Answer:
The answer is
[tex] \sqrt{85} [/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(0, 4), T(-6, -3)
The distance between them is
[tex] |CT| = \sqrt{ ({0 + 6})^{2} + ({4 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {7}^{2} } \\ = \sqrt{36 + 49} [/tex]We have the final answer as
[tex] \sqrt{85} [/tex]Hope this helps you
Which two expressions , added together , form a function with the following characteristics?
-It’s range is all real numbers
- it’s graph has exactly two x-intercepts
Answer:
Options (B) and (C)
Step-by-step explanation:
We have to form a function which has following characteristics,
1). Its range is all real numbers
Which means graph of the given function starts from negative side of the y-axis (-∞) and goes towards positive direction of the y-axis (+∞).
It's a typical characteristic of odd degree polynomial/function.
2). The graph has exactly two x-intercepts.
Which means when we put f(x) = 0, we get exactly two values of x.
Therefore, function will be, f(x) = x³ + x²
Range of the function → (-∞, ∞) Or a set of all real numbers.
x-intercepts → f(x) = x³ + x² = 0
x²(x + 1) = 0
x = -1, 0
Therefore, Options (B) and (C) will be the answer.
2/3(6k-30)+k=100 this is the one I need help
The value of k = 20.
We have the following expression -
[tex]\frac{2}{3} (6k-30)+k=100[/tex]
We have to find the value of K.
Find the value of z → [tex]$log(2)^{z} = \pi[/tex].We have -
[tex]$log(2)^{z} = \pi[/tex]
z x log(2) = π
z = [tex]$\frac{\pi }{log\;2}[/tex]
z = 10.43
According to the question, we have -
[tex]\frac{2}{3} (6k-30)+k=100[/tex]
[tex]\frac{2}{3}\times 6[/tex](k - 5) + k = 100
4(k - 5) + k = 100
4k - 20 + k = 100
6k = 120
k = 20
Hence, the value of k = 20
To solve more questions on finding unknown variable, visit the link below-
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Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)
Can you please help me with this I’ll give you a playlist for sure it’s
Answer:
15+(-37)
initial 15
fell 37 so -37
Answer:
B, or the one labeled 15 + (-37)
Step-by-step explanation:
It starts with 15 degrees F, which is positive.
Then, you'd add -37 degrees.
Adding -37 degrees to 15 is the same as subtracting 37 from 15.
Good luck mate :)
Provide two examples that show that all square roots are not irrational numbers ?
Answer:
[tex]\sqrt{4}, \ \sqrt{9} \text{ are rational numbers.}[/tex]
Step-by-step explanation:
Hello,
[tex]\sqrt{n^2}=n \ for \ n\geq 0\\\\\text{For instance}\\\\\sqrt{2^2}=2=\sqrt{4}\\\\\sqrt{3^2}=3=\sqrt{9}[/tex]
FIND THE DISTANCE BETWEEN THE TWO POINTS
A(0, 0), B(6, 8)
Answer:
10
Step-by-step explanation:
Mathematical Formula: [tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Therefore: [tex]\sqrt{\left(6-0\right)^2+\left(8-0\right)^2}[/tex]
Which = 10
Given the function f (x) = 5x^2 - 2 find f (-3).
Answer:
Step-by-step explanation:
5(-3)^2 - 2
5(9) - 2
45 - 2 = 43
Solve for x.
8x + 3 > 4 (1/2x – 3)
Answer:
[tex]x>-5/2[/tex]
Step-by-step explanation:
So we have:
[tex]8x+3>4(\frac{1}{2}x-3)[/tex]
First, distribute the right:
[tex]8x+3>2x-12[/tex]
Subtract 2x from both sides:
[tex]6x+3>-12[/tex]
Subtract 3 from both sides:
[tex]6x>-15[/tex]
Divide everything by 6:
[tex]x>-15/6[/tex]
Reduce:
[tex]x>-5/2[/tex]
And this is our answer :)