-15.7
Step-by-step explanation:
2
-15
-12
-10
-12
-18
-20
-25
-------
-110
7 divide by -110=-15.7
A ship leaves Coffs Harbour and sails 320 km east. It then changes direction and sails 240 km due
north to its destination. What will the ship's bearing be from Coffs Harbour when it reaches its
destination, correct to two decimal places?
Answer: Bearing = 41.41°
Step-by-step explanation:
[tex]\tan \theta=\dfrac{opposite}{adjacent}\\\\\\\tan \theta=\dfrac{240}{320}\\\\\\.\quad \theta=\tan^{-1}\bigg(\dfrac{240}{320}\bigg)\\\\\\.\quad \theta =48.59^o[/tex]
Bearing is measured clockwise from North (90° on a Unit Circle = bearing of 0°)
Bearing = 90° - Ф
= 90° - 48.59°
= 41.41°
Find the value of 2.
A.126
B.121.5
C.117
D.63
Answer:
D
Step-by-step explanation:
The tangent- tangent angle x is half the difference of the intercepted arcs.
The sum of the 2 arcs on the circle = 360°, thus
lower arc = 360° - 243° = 117°, then
x = [tex]\frac{1}{2}[/tex] (243 - 117)° = 0.5 × 126° = 63°
May I get some help? Need answer immediately thanks
Answer:
This might help u........
Fill in the blank.
3 is ....% of 20
Answer: 15%
Step-by-step explanation:
3/20×100%=15%
This is representing 20 as the whole and 3 as the part. to find 3 is how many of 20, we get 3/20, and then multiplies 100% to get the final answer as a percentage.
Hope this helps!! :)
Please let me know if you have any question
Answer: 15%
Step-by-step explanation:
3/20= .15
Move the decimal 2 times to the left to get 15%
x -3y -3 =0 3x-9y-2=0
Answer:
No solution.
Step-by-step explanation:
x - 3y - 3 = 0
3x - 9y - 2=0
Multiply the first equation by - 3:
-3x + 9y + 9 = 0
Add this to the second equation:
0 + 0 + 7 = 0
0 = -7 , which is absurd so there is no solution to this system.
1. 4x– 15 = 17 - 4x+10x
Help?
Answer:
answer:3x
Step-by-step explanation:
4x15=60
60-17=43
4x10=40
43-40=3x
A line segment starts at the point (2,3) and ends at the point (6,11). Find the equation of the perpendicular bisector of the segment. Demonstrate that your answer is correct. Your equation must be written in slope intercept form.
1). Slope = (-2)
2). Midpoint = (2, -2)
3). Slope of the perpendicular bisector = (1/2)
4). Equation of perpendicular bisector will be x - 2y = 6
Step-by-step explanation:
A line segment has the endpoints at (4, -6) and (0, 2).
1). Then the slope of the given line segment will be = (y - y')/(x - x') = (2 + 6)/(0 - 4) = 8/(-4) = (-2)
2). Mid point of the line segment is given by
Therefore midpoints of the line segment will be = (2, -2)
3). Slope of the perpendicular bisector is represented by
⇒ (-2)×m2 = (-1)
⇒
4). Now we have to find the equation of perpendicular bisector passing through (2, -2) and slope (1/2).
Since standard equation of the line will be given as y = mx + c
passes through (2, -2).
c = (-1) - 2 = -3
Finally the equation of perpendicular bisector will be
⇒ 2y = x - 6
⇒ 2y - x = -6
⇒ x - 2y = 6
the length of a rectangular pool is three times its width. The perimeter of the rectangular pool is 168 feet. find the length and width of the pool.
Step-by-step explanation:
breadth = 21 m
length = 63 m
w = 21 feet
l = 63 feet
Step-by-step explanation:l = 3w
P = 2(l + w)
168 = 2(l + w) : 2
84 = l + w
replace l
84 = 3w + w
4w = 84
w = 84 : 4
w = 21 feet
l = 3w
l = 3×21 feet
l = 63 feet
A builder needs 1,840 nails to finish a project. If the nails come in packages of 40, how many
packages should the builder purchase?
packages
Answer:
He would need 46 packs of nail
Step-by-step explanation:
1840/40
=46
what is 2 1\3 + 3 1\3
Answer:
The Fraction 21/3+31/3=17 1/3
Answer:
[tex]5\frac{2}{3}[/tex]
Step-by-step explanation:
2 + 3 = 51/3 + 1/3 = 2/3Put them together: 5 2/3how many feet are in one story on the empire state building
Answer:
The building itself is 1,250 feet and 102 stories high.
Uhm what class is this for
I need help with 14 and 15
If one gallon of gas costs $2.50, how many gallons of gas could you buy for $16.2
Answer:
The answer is
6 gallonsStep-by-step explanation:
In order to solve this question we use ratio and proportion.
From the question
$ 2.50 is the price of one gallon
To find the number of gallons that cost $16.2 , multiply $16.2 by one gallon and divide it by $ 2.50
That's
[tex] \frac{16.2 \times 1}{2.50} [/tex]
= 6.48
We have the final answer as
6 gallons
Hope this helps you
whats the value of the expression3-⁴
Answer:
1/81
Step-by-step explanation:
3^-4 = -81
Put this in a fraction: 1/81
Hope this helps you!
3 · 32 + 8 ÷ 2 − (4 + 3)
Answer:
93
Step-by-step explanation:
96+4-7=92
frirst: (4+3)=7
(8÷2)=4
3.32= 96
If the one side of the rectangle is 8 ft and the other side is 3x-40, what is the area of
the rectangle?
Answer:
24x-320
Step-by-step explanation:
Area of a rectangle is length*width.
This basically means we have to multiply one of its sides with the other side.
Hence, our expression would be:
8(3x-40)
Simplify by distributing.
8*3x+8*-40
24x-320
The area of the rectangle is 24x-320.
Express area of rectangle. Answer with a polonomial in stadard form. Image of rectangle below. Please answer, i will give brainiliest.
Answer:
Area = (x² + 11x + 24)
Step-by-step explanation:
Area of the blue square with sides 'x' units = (Side)²
= x²
Area of the pink rectangle = Length × width
= 3 × (x)
= 3x
Area of the orange rectangle = Length × Width
= 8 × 3
= 24
Area of the green rectangle = Length × width
= (x) × 8
= 8x
Now total area of the entire rectangle = x² + 3x + 24 + 8x
= (x² + 11x + 24)
Therefore, area of the entire rectangle will be a polynomial (x² + 11x + 24)
When the squares of two consecutive even integers are added, the sum is 244. Find
the integers.
Riya is applying mulch to her garden. She applies it at a rate of 250{,}000\text{ cm}^3250,000 cm 3 250, comma, 000, start text, space, c, m, end text, cubed of mulch for every \text{ m}^2 m 2 start text, space, m, end text, squared of garden space. At what rate is Riya applying mulch in \dfrac{\text{m}^3}{\text{m}^2} m 2 m 3 start fraction, start text, m, end text, cubed, divided by, start text, m, end text, squared, end fraction?
Complete Question
Riya is applying to her garden. She applies it at a rate of 25, 000 cm³ of mulch for every m² of garden space. At what rate is Riya applying mulch in m³/m²
Answer:
0.25m³/m²
Step-by-step explanation:
We are told the Riya sprays mulch at 250,000cm³ per m²
To find the rate at which Riya is spaying the mulch in m³/m² we would have to convert 250,00cm³/m² to m³/m²
1 cm³ = 1 × 10^-6m³
250,000 cm³ = x m³
Cross Multiply
1 cm³ × xm³ = 250,000cm³ × 1 × 10^-6 m³
X
x m³ = 250,000cm³ × 1 × 10^-6 m³/1 cm³
= 0.25m³
Therefore, the rate at which Riya is spraying the mulch = 0.25m³/m²
Answer:
0.25
Step-by-step explanation:
A store purchased a washing machine and marked it up 20% from the original cost of
$300. Then, wanting to make room for summer inventory, the store placed the washing
machine on sale for 75% off. What was the price after the discount?
Answer:
The answer is $270
Step-by-step explanation:
[tex] \frac{3}{4} |m - 2n| [/tex]
if m= -4 and n=6
Answer:
12
Step-by-step explanation:
8x + 3 (x +1) = 5x - (9x – 6)
Answer:
x=1/5
Step-by-step explanation:
Simplify the Radical Expression
3V2 - V8 +4V12+53
A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes? in dollars
Answer:
the mark-up is $10 or 20% of the original price.
Step-by-step explanation:
This is because 60-50 is 10. And 20% or 1/5 of 50 is 10.
1. How many squares would 100th case have?
2. Which case would have 289 squares?
Answer:
case 1 = 4
case 2 = 9
case 3 = 16
The results are squares.
case 100 = 10201
solution:
case 1 = 2²
case 2 = 3²
case 3 = 4²
case 100 = 101²
101² = 10201
case 17 = 289
solution:
√289 = 17.
Marcus ran a 200-meter race in 25 seconds. What is his speed in meters per second?
Answer:
200/25 = 8 meters
Step-by-step explanation:
Just take the distance of 200 m and divide it by 25 seconds.
Thanks for the help, question below :)
Answer:
(a) Regression Equation : x = 6.33333y + 38.6875,
(b) Test Score will be about 89.4% if student sleeps 8 hours a night
Step-by-step explanation:
Using a regression calculator your equation should be as follows, where x = test scores, and y = average sleep.
(a) Solution : x = 6.33333y + 38.6875
We can check if this equation is ' suitable ' by plugging in the value 7 for y, and expecting an outcome of around 88 percent ...
x = 6.33333(7) + 38.6875 = 44.33331 + 38.6875
= 83.02061% - this may seem a bit too off, but it is predictable
Now let's plug in 8 for y, as to calculate the percent when a student sleeps for 8 hours ...
x = 6.33333(8) + 38.6875 = 50.66664 + 38.6875
= 89.35414% ≈ 89.4%
(b) Solution : Test Score will be about 89.4%
what is the factored form of 4x2+23x-72
Answer:
(4x-9) (x+8)
Step-by-step explanation:
5 hundreds × 10 = __50__ hundreds = __B__
Fill in blank B.
Answer:
Answer is 5000
Step-by-step explanation:
becaue when u multiple 5*100*10=5000
50*100=5000 so the answer is 5000
i need help asap please help
Answer:
2.33333333333333333 (two point repeating three)