Answers
Answer:
they are 10km 32 degrees far from each other
Step-by-step explanation:
scott - 100km - 30 degrees
spork - 110km - 62 degrees
how far = difference between them
as spork's distance and degrees are greater than scott we substract Scott's from spork's
110 - 100 = 10 km
62 - 30 = 32 degrees
they are 10km 32 degrees far from each other
Related Questions
2. Calculate the amount of compound interest paid on $7300 at the end of 3 years for each
rate. [2 marks each]
a) 10% compounded semi-annually
b) 8% compounded monthly
Answers
The compound interest when $7300 when interest is compounded semi annually is $2482.70.
The compound interest when $7300 when interest is compounded monthly is $1972.73.
What is the compound interest?An investment earns compound interest when both the amount invested and the interest accrued increases in value at predetermined time intervals.
The formula to represent compound interest is :
FV - amount invested
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsa. 7300 x [1 + (0.1/2)]^(3 x 2) = 9782.70
Compound interest = 9782.70 = 7300 = $2482.70
b. 7300 x [1 + (0.08/12)]^(12 x 3) = 9272.73
9272.73 - 7300 = $1972.73
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calculate 20% of R400
Answers
Answer:
80Step-by-step explanation:
400: 100 you find 1% you multiply it by 20 and you have 20%
400 : 100 * 20 =
4 * 20 =
80
What conclusions can you draw from the first battles in the civil war?
Answers
Marcella is flying a kite in a competition. To win the competition, her kite string must have at least 162 feet released. The kite is 75 feet above her. The angle of the string and her hand is forming a 28 degree angle. Will she be able to win the competition? Show your work.
For question 1, will she win the competition? Type yes or no
Answers
Marcella won't be able to win the competition because the length of the rope is less than 162 feet.
How to find the sides of a right angle triangle?
The situation forms a right angle triangle.
The kite released rope is the hypotenuse side of the triangle formed.
The opposite side of the triangle is the height of the kite from the ground.
Therefore,
sin 28 = opposite / hypotenuse
sin 28 = 75 / h
h = 75 / sin 28
h = 75 / 0.46947156278
h = 159.754085116
h ≈ 160 feet
Therefore, she won't be able to win the competition because the length of the rope is less than 162 feet.
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What is the area of the triangle below?
O27 square units
O 45 square units
O 54 square units
20
Answers
A triangle is a 2-D shape that has 3 sides and angles. The area of the triangle below is 27 square units
Area of a triangleA triangle is a 2-D shape that has 3 sides and angles
In order to determine the area of the shape, we will determine the area of the square circumscribing it first;
Area of the square = 10 * 9 =90 square units
Find the area of the two right triangles
Area of the right triangles = 0.5(10 * 9) + 0.5(9 * 4)
Area of the right triangles = 45 + 18
Area of the right triangles = 63 square units
Take the difference
Area of the given triangle = 90 - 63 = 27 square units
Hence the area of the triangle below is 27 square units
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Which expression is equivalent to StartFraction 7 Superscript 5 Over 7 squared EndFraction?
(7 times 5) (7 times 2)
(7 times 7 times 7 times 7 times 7) (7 times 7)
StartFraction 7 times 5 Over 7 times 2 EndFraction
StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction
Answers
The equivalent expression of [tex]\frac{7^5}{7^2}[/tex] is [tex]\frac{7*7*7*7*7}{7*7}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]\frac{7^5}{7^2}[/tex]
Expand the numerator and the denominator
[tex]\frac{7^5}{7^2} = \frac{7*7*7*7*7}{7*7}[/tex]
The above expression is represented by option (d)
Hence, the equivalent expression of [tex]\frac{7^5}{7^2}[/tex] is [tex]\frac{7*7*7*7*7}{7*7}[/tex]
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Answer:
StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction
Step-by-step explanation:
Edge
Find the geometric mean of 5 and 8. Write your answer in the simplest radical form.
Answers
Answer:
First, multiply 5 and 8. That equals 40. Then you take the square root of 40, which doesn't result in a whole number, so you factor 40 and removing perfect squares. In which case the answer would be 2√10
The area of a rectangular parking lot is 7081 m²
If the length of the parking lot is 97 m, what is its width?
Answers
Step-by-step explanation:
So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....
Area of square = l²Area of rectangle = l × bArea of rectangular parking lot = 7081 m²
length of parking lot = 97 m
Width = ?
Now,
Area = l × b
7081 = 97 × b
7081 / 97 = b
b = 73 m
Hence the width is 73 m....
Explore
create a dot plot of a sample of the population whose
mean is the same as the population mean.
your sample should have more than six, but fewer than
20 data points.
count
number
2
10
12
8
hean
10
12
8
mean
934
Answers
The 2nd dot plot in the attachment represents the dot plot that has the same sample mean as the population mean
How to create the dot plot?The dot plot that completes the question is added as an attachment.
Start by calculating the mean of the data plot using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
Substitute the values on the dot plot
[tex]\bar x = \frac{2*1+3*3+4*2+5+6*3+7*5+8*2+9*4+11*2+12*2}{25}[/tex]
[tex]\bar x = 7[/tex]
This means that the population mean of the dot plot is 7
Next, we create another dot plot that has the same mean as 7.
There are no direct rules to this, so we make use of the trial by error method.
After several attempts, we have the following frequency table:
Data point Frequency
2 1
3 2
4 0
5 4
6 5
7 2
8 5
9 0
10 2
12 3
The mean of the frequency table is:
[tex]\bar x = \frac{2 * 1 + 3 * 2 + 4 * 0 + 5 * 4 + 6 * 5 + 7 * 2 + 8 * 5 + 9 * 0 + 10 * 2 + 12 * 3}{1+2+0+4+5+2+5+0+2+3}[/tex]
Evaluate
[tex]\bar x = \frac{168}{24}[/tex]
Evaluate the quotient
[tex]\bar x = 7[/tex]
This means that the sample mean is 7 (same as the population mean)
Lastly, we represent the frequency table using a dot plot (the 2nd dot plot in the attachment)
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Give your answer in terms of [tex]\pi \\[/tex]
Answers
The length of the band in terms of π is given by the expression:
L = 40mm + π*10mm
How to get the length of the band?
Remember that for a circle of diameter D, the circumference is:
C = π*D.
Now, if you look at the image, you can see that the length of the band will be equal to 4 times the diameter of the pencils (one time for each side). Plus 4 times one-fourth of the circumference of each pencil (for the four corners).
because the diameter is 10mm, the length of the band will be:
L = 4*10mm + 4*(π*10mm/4)
L = 40mm + π*10mm
This is the length of the band in terms of π.
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At the stadium, there are eight lines for arriving customers, each staffed by a single worker. The arrival rate for customers is 190 per minute and each customer takes (on average) 2 seconds for a worker to process. The coefficient of variation for arrival time is 1.2 and the coefficient of variation for service time is 1.5. (1) How much time (in seconds) will an average customer spend in queue
Answers
Answer:
3.287 Customers
Step-by-step explanation:
Interarrival time (a) = 60 seconds per minute / 190 customers per minute = 0.316 seconds.
Utilization = p / (a × m) = 2 / (0.316 × 8) = 0.792.
Number in queue = Tq / a = 1.038 / 0.316 = 3.287 customers.
what is the y-intercept of the graph of y = 4^x-2?
Answers
Answer: Hope this helps you.
-2
Step-by-step explanation:
y = mx+b (B is y-int)
y = 4^x-2
-2 is clearly replacing the b (y-int) meaning b, the y-int, is -2
[tex]y = {4}^{x} - 2 \\ for \: y \: intercept \: x \: s \\ is \: 0 \\ y = {4}^{0} - 2 \\ y = 1 - 2 \\ y = - 1 \\ [/tex]
Y intercept : (0,-1)
Hope it helps
please give brainliest
Find the LCM of 16x² and 40x5
Answers
Answer:
The LCM of 16x^2 and 40x^2 is 80x^5
:) Good Luck
Step-by-step explanation:
MATH!!! (please answer correctly...) find the surface area of the prism
Answers
A=2(WL+HL+HW)
so 2(8*10+2*10+2*8)
In any triangle ABC, if c=30°,b= 4, a=2 find A and B.
Answers
Using the Law of Cosines,
[tex]c^{2}=2^{2}+4^{2}-2(2)(4)(\sin 30^{\circ})\\\\c^{2}=12\\\\c=2\sqrt{3}[/tex]
Using the Law of Sines,
[tex]\frac{\sin A}{a}=\frac{\sin C}{c}\\\\\frac{\sin A}{2}=\frac{\sin 30^{\circ}}{2\sqrt{3}}\\\\\frac{\sin A}{2}=\frac{1}{4\sqrt{3}}\\\\\sin A=\frac{1}{2\sqrt{3}}\\\\A=\boxed{\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]
So, as angles in a triangle add to 180 degrees,
[tex]B=180^{\circ}-30^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)\\\\B=\boxed{150^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]
Mickey drew a scale drawing of the room in his junior high building using the scale 1 centimeter (cm) - 1.5 meters (m). the office in his scale drawing measured 2.6 cm * 3.2 cm. what
are the actual dimensions of the office?
2.6 m x 3.2 m
1.7 m x 2.1 m
3.9 m x 4.8 m
4.1 m x 47 m
Answers
Answer:
3.9m x 4.8m
Step-by-step explanation:
1 cm = 1.5m
→ Multiply both sides by 2.6
2.6 cm = 3.9m
→ Multiply from the original statement, both sides by 3.2
3.2 cm = 4.8 m
→ Combine them
3.9m x 4.8m
How many rational numbers lie between any two fractions?
Answers
Answer:
Infinite number of rational numbers exist between any two distinct rational numbers. We know that a rational number is a number which can be written in the form of qp where p and q are integers and q =0.
What is the standard error of the sampling distribution of sample proportion?.
Answers
Answer:
√ (p(1-p) / n)
Step-by-step explanation:
Standard Error(SE) of the Sample Proportion: √ (p(1-p) / n). Note: as the sample size increases, the standard error decreases.
---Hope this helps you! Feel free to give feedback
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
A. A single line
B. A pair of intersecting lines
C. A point
D. A pair of parallel lines
Answers
Answer:
B. A pair of intersecting lines
Step-by-step explanation:
The attached image can give you an idea of what you get when a plane perpendicular to the base of a cone intersects the vertex of the cone.
__
In the problem statement here, we assume a double-napped cone with no defined base. That means the lines of intersection with the sides of the cone will meet at the vertex point and extend indefinitely in either direction.
The intersection is a pair of intersecting lines.
What is the value of 4x-7 when x = 4?
O 1
09
O 16
23
Answers
Answer:
9
Step-by-step explanation:
Given expression: 4x - 7
To determine a numerical value of the provided expression, when x = 4, simply substitute the value of x into the expression and simplify it using the order of operations (PEMDAS). Work has been shown below.
[tex]\implies 4x - 7[/tex][tex]\implies 4(4) - 7 \ \ \ \ \ \ [\text{Substituting the value of x}][/tex]Simplify the expression using PEMDAS:The PEMDAS stands for:
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionFirst - LastAccording to the PEMDAS, it is required to simplify the expression using multiplication (M in PEMDAS) firsthand, as there are no parentheses (P in PEMDAS) and exponents (E in PEMDAS). Thus, we get the following:
Please refer to underlined text for simplification of that expression.
[tex]\implies 4 \times 4 - 7[/tex][tex]\implies \underline{4 \times 4} - 7}[/tex][tex]\implies {16 - 7}[/tex]Clearly, we can see that division (D in PEMDAS) and addition (A in PEMDAS) is not occurring in the expression. Therefore, we will need to subtract the two terms (16 and 7). Thus, we get the following simplified term:
[tex]\implies \underline{16 - 7}[/tex][tex]\implies \boxed{9}[/tex]Therefore, the value of 4x - 7, when x = 4, is 9.
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Which ordered pair is a solution to the following system of inequalities?
y < –x2 + x
y > x2 – 4
(0, –1)
(1, 1)
(2, –3)
(3, –6)
Answers
Answer: (0,-1)
Step-by-step explanation:
Let's start with the first inequality, [tex]y < -x^{2}+x[/tex]. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.
A) [tex]-1 < -0^{2}+0 \longrightarrow -1 < 0 \longrightarrow \text{ True}[/tex]B) [tex]1 < -1^{2}+1 \longrightarrow 1 < 0 \longrightarrow \text{ False}[/tex]C) [tex]-3 < -2^{2}+2 \longrightarrow -3 < -2 \longrightarrow \text{ True}[/tex]D) [tex]-6 < -3^{2}+3 \longrightarrow -6 < -6 \longrightarrow \text{ False}[/tex]Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).
A) [tex]-1 > 0^{2}-4 \longrightarrow -1 > -4 \longrightarrow \text{ True}[/tex]C) [tex]-3 > 2^{2}-4 \longrightarrow -3 > 0 \longrightarrow \text{ False}[/tex]Therefore, the answer is (A) (0, -1).
PLEASE HELP PLEASE ANSWER QUICKLY IM RATING 5 STAR AND BRAINLIEST IM LIKE BEGGING FOR HELP ON THIS QUESTION PLEASE ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️
Answers
Answer:
See below
Step-by-step explanation:
Sine function would be easiest
in a right triangle sin = opposite leg / hypotenuse
sin 57 = 10.8 / x
then x = 10.8 / sin 57 then x = 12.88 units
Need help with this
Answers
Answer:
y = 130
Step-by-step explanation:
given that y varies directly with x and z then the equation relating them is
y = kxz ← k is the constant of variation
to find k use the condition y = 150 when x = 2.5 and z = 12 , then
150 = k × 2.5 × 12 = 30k ( divide both sides by 30 )
5 = k
y = 5xz ← equation of variation
when x = 4 and z = 6.5 , then
y = 5 × 4 × 6.5 = 20 × 6.5 = 130
I NEED HELP ASAP
A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.
Answers
Answer:
8
Step-by-step explanation:
each times she draws there is 3 blue marbles that she can pick so her chance of picking one blue marble out of the box is 3/8 hope i helped!
Answer: 3/8
Step-by-step explanation:
Which one of the following inequalities would require you to reverse the symbol?
a) 2x > -14
b) -14 < 2x
c) -14 ≤ 2x
d) -2x ≥ -14
Answers
Explanation: When you divide a number by a negative number, you switch the symbol. (Pls mark brainliest)
10 more than w is equal to 40 what is the expression
Answers
Answer:
w + 10 = 40
Step-by-step explanation:
10 more than w is w + 10 is equal to 40 is =40
w + 10 = 40
Please mark as brainliest.
Answer:
10 + w = 40Step-by-step explanation:
10 more than w is equal to 40 what is the expression
10 + w = 40 is the expression
w = 40 - 10
w = 30 is the solution
Write -0.65 as a fraction or mixed number in simplest form. (you may use an improper or a mixed number as your final answer.)
Answers
Answer:
-13/20
Step-by-step explanation:
-0.65 can be written as -65/100. To simplify, divide both numerator and denominator with 5. 65/5=13. 100/5=20
And you get -13/20 for your answer.
What is the equivalent to 8 ounces?
Answers
Answer:
16 Tablespoons
Step-by-step explanation:
Can you help me please!!!!
Answers
Answer:
Irrational
Step-by-step explanation:
[tex]\sqrt{9}= 3[/tex]
3 × √3 = 3√3 which is irrational
Hope this helped and brainliest please
Product is multiplication:
√3 x √9 = 3√3 = 5.19615....
Because the fraction does not end, it is not rational.
Answer: Irrational
Jonathan’s temperature this morning was 38.2°C. After 2 hours, it was 39.5°C. All are true about Mark’s condition EXCEPT
*
1 point
a. His condition worsened.
b. His condition improved.
c. His temperature went up by 1.3 C°
d. He has high fever.
2. The temperature of freshly baked hot malungay pandesal is 68°C; while hot coffee is 85°C. What is the difference between the two temperatures?
*
1 point
a. 15°C
b. 17°C
c. 23°C
d. 2.3°C
3. At 8:00 AM, the temperature in the room was 25.6°C. By noon, it had gone up by 2.5 C°. But by 6:00 PM, it had gone down by 3.3 C°. What was the temperature in the room at 6:00 PM?
*
1 point
a. 28°C
b. 24.8°C
c. 28.4°C
d. 28.5°C
Answers
Answer:
a
b
b
:)
Step-by-step explanation:
hi brother i have got the answer hope its correct