Abiodun walks 5km due north,then12km due east.How far ia he from the starting point?
Answers
do you need the explanation too?
Related Questions
Which phrase could the expression x-4 represent?
a number less than 4
the difference of a number and 4
the sum of a number and 4
four less a number
Answers
Find the value of X.
Answers
Answer:
x = 36
Step-by-step explanation:
Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.
RelationThe product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.
24² = 12(12 +x)
2·24 = 12 +x . . . . . . . divide by 12
36 = x . . . . . . . . . subtract 12
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Pete worked 44 hours and 30 minutes on his new job. He makes $9.86 per hour. For each hour of overtime, he earns time and a half. How much will he earn for one week?
Answers
:)
Answer:
$460.955 ≈ $460.96
Step-by-step explanation:
A work week is 8 hours × 5 days = 40 hours per week. Pete worked 44 hours and 30 minutes which is 44.5 hours. This tells you that Pete worked 40 hours at regular paid and 4.5 hours of overtime at a rate is his amount per hour plus half of his amount per hour). So Pete earns $14.79 per hour for overtime rate ($9.86 + $4.93 = $14.79) .
Earning for the week: 40 × $9.86 + 4.5 × $14.79
= $394.40 + $66.555
= $460.955 ≈ $460.96
Of all the species in the world,4 out of every 5 are insects.
What percentage of species are insects?
Answers
Answer:
80%
Step-by-step explanation:
It has long been recognized and documented that insects are the most diverse group of organisms, meaning that the numbers of species of insects are more than any other group. In the world, some 900 thousand different kinds of living insects are known. This representation approximates 80 percent of the world's species.
Use the quadratic formula to find all degree solutions and if
0° ≤ x < 360°.
Use a calculator to approximate all answers to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
cos^2 (x) + cos (x) − 1 = 0
(a) all degree solutions (Let k be any integer.)
Answers
The degree solutions of the equation are 51.82 degrees and 128.17 degrees
Finding all degree solutions of the equationFrom the question, we have the following parameters that can be used in our computation:
cos² (x) + cos (x) − 1 = 0
Let y = cos(x)
So, we have
y² + y - 1 = 0
When solved graphically, we have
y = ±0.618
This means that
cos(x) = ±0.618
Take the arccos of both sides
x = cos-1(±0.618)
Evaluate
x = 51.82 degrees and 128.17 degrees
Hence, the angles are 51.82 degrees and 128.17 degrees
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Where is the circumcenter of a right triangle located?
on the hypotenuse
on one of the legs
outside the triangle
inside the triangle
Answers
Answer:
on the hypotenuse
Step-by-step explanation:
Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle.
A die is a rolled. the set of equally likely outcomes is {1,2,3,4,5,6} find the probability of getting a 3
Answers
Answer:
1/6th chance
Step-by-step explanation:
Since there are 6 possible outcomes that will be the denominator, now count the number you want to roll, in this case 1 since you only want to find the probably of getting a 3. So the probably is 1/6
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion? Assume that past data are not available for developing a planning value for p*
Answers
Answer:
A sample of 1068 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?
We need a sample of n.
n is found when M = 0.03.
We have no prior estimate of \(\pi\), so we use the worst case scenario, which is \(\pi = 0.5\)
Then
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)
\(0.03\sqrt{n} = 1.96*0.5\)
\(\sqrt{n} = \frac{1.96*0.5}{0.03}\)
\((\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}\)
\(n = 1067.11\)
Rounding up
A sample of 1068 is needed.
What is the quotient of 7.536\times 10^77.536×10
7
and 7.85 \times 10^27.85×10
2
expressed in scientific notation?
Answers
The value of Quotient from the given terms is 9.6* 10^8
According to the statement
we have given that the two terms and we have to find the quotient of the these terms.
So, we know that the
Quotient is a the number resulting from the division of one number by another.
And for find the quotient we have to divide the terms with each other.
So, The given terms are \(7.536*10^7\)and \(7.85*10^2\)
divide both terms with each other.
Quotient = \(\frac{7.536*10^7}{7.85*10^2}\)
Then
The value of quotient becomes
Quotient = \(0.96 * 10^9\)
After removing the decimal from the answer it will become
Quotient = \(9.6* 10^8\).
So, The value of Quotient from the given terms is 9.6* 10^8
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Answer: its 7.85x10^-9
Step-by-step explanation:
Help please now immediately
Answers
Answer:
20 haircuts
Step-by-step explanation:
Unit rate is 15dollars/each haircut
15 x 10 = 150
15 x 20 = 300
15x20 = 300 per month at salon 1
Fill in the blank with the correct response.
In a standard normal distribution
___% of the data is within 2 standard deviations of the mean.
Answers
Answer:
In a standard normal distribution
95% of the data is within 2 standard deviations of the mean.
have a nice day! (^o^)
Write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Do not simplify any part of the expression.
Answers
An expression for given sequence of operations is: j + 3^9
In this question, we need to write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Consider the part of given statement,
raise 3 to the 9th power
We write this as: 3^9
then we add this result to j.
So, we get an expression: 3^9 + j
Therefore, an expression for given sequence of operations is: j + 3^9
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27. What is the reflection image of (5, –3) across the y-axis? (–5, 3) (–5, –3) (–3, 5) (5, 3)
Answers
The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).
A man bought two pencils and three biros at a cost of 50, Again he bought three pencils and four biros for 70. find the cost of a pencil and a biro
Answers
From the first statement, we can write:
2x + 3y = 50 ...(1)
Similarly, from the second statement, we can write:
3x + 4y = 70 ...(2)
We now have two equations with two unknowns. We can solve for x and y using elimination or substitution method. Let's use the elimination method:
Multiplying equation (1) by 3 and subtracting it from equation (2) multiplied by 2, we get:
(2)(3x + 4y) - (3)(2x + 3y) = (70)(2) - (50)(3)
Simplifying, we get:
2x + 5y = 40 ...(3)
Now we have two equations with two unknowns:
2x + 3y = 50 ...(1)
2x + 5y = 40 ...(3)
Subtracting equation (1) from equation (3), we get:
2y = -10
Therefore, y = -5
Substituting y = -5 in equation (1), we get:
2x + 3(-5) = 50
Simplifying, we get:
2x = 65
Therefore, x = 32.5
Hence, the cost of a pencil is 32.5 cents and the cost of a biro is -5 cents.
However, it is not possible for the cost of a biro to be negative, so there must be an error in the calculations or in the problem statement. Please check the numbers and the problem statement again.
(1,4) and (6,-1)
find the point slope asap plsssssss
Answers
Answer:
(5,-5)
Step-by-step explanation:
-1-4
------ = (5,-5)
(6-1)
Answer:
Slope intercept form: y = -x + 5
Point slope form: y - 4 = -1 (x - 1)
Step-by-step explanation:
First we need to find slope by using this formula⤵⤵⤵
\( \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \)
(Sorry if it's a bit small btw)
-1 - 4 = -5
6 - 1 = 5
Simplify -5/5 by dividing, and your slope is -1.
Now we plug in one of the points and the slope into the point slope formula⤵⤵⤵
\(y - y _{1} = m(x - x _{1})\)
We'll use point (1,4) for this:
y - 4 = -1 (x - 1)
To solve this, start by distributing the -1 among everything inside the parenthesis to get
y - 4 = -x + 1. Next, add 4 on both sides to get
y = - x + 5.
Hope this helps you :)
4. Lequan has made a breakthrough discovery, he's come across the first perfectly constructed Dorito chip
to ever exist. It's a flawless triangle, with two sides of length 1.8 inches, and one side of length 2.5 inches.
a. Is the Dorito a right triangle?
b. Determine the area of this Dorito
Answers
The Dorito is not a right triangle. Its an isosceles triangle .
What is a isosceles triangle?
There are two equal sides and two equal angles in an isosceles triangle. The word is a combination of the Greek words iso (same) and Skelos (leg). Equilateral triangles are those in which all of the sides are equal, while scalene triangles are those in which none of the sides are equal.
(A) the Dorito is not a right-angle triangle because
\((side 1 )^{2}\) + \((side 2)^{2}\) = \(( longest side )^{2}\)
Here,
Longest side = 2.5 inches
So,
\((1.8)^{2}\) + \((1.8)^{2}\) ≠ \((2.5)^{2}\)
(B) The area of Dorito
A=b h/2
Height of the Dorito
= 1.68inches
So,
= 2.5(1.68)/2
=4.2 \(inches^{2}\)
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You are dealt one card from a 52-card deck find the probability that you are not dealt a card with number from 3 to 9
Answers
Answer: conya de frezer ai polla chezt
Step-by-step explanation:
Arrange the steps in order to simplify the expression
Answers
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
determine which number or numbers can be a solution for the inequality
32+a>44 11, 12, 13, 14
Answers
The numbers can be a solution for the inequality 32+a>44 is 13 and 14.
What is the solution set to an inequality or an equation?If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.
Given that;
The inequality= 32+a>44
To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.
32 + a > 44
Subtract 32 from both sides:
a > 44 - 32
a > 12
This means that any number greater than 12 can be a solution to the inequality.
Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.
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Austin opened a savings account and deposited $600.00 as principal. The account earns 5% interest, compounded annually. What is the balance after 8 years?
Answers
Answer:
$886.47
Step-by-step explanation:
answer only if you know it ty.
Answers
Answer:
\(\Huge\boxed{x<3}\)
Step-by-step explanation:
-9.5x-1.5>-30
Hello There!
So once again we want to isolate the variable using inverse operations
To get rid of the 1.5 we add 1.5 to each side
-1.5+1.5 cancels out
-30+1.5=-28.5
now we have
-9.5x>-28.5
to get rid of the -9.5 we divide each side by -9.5
-9.5x/-9.5=x
-28.5/-9.5=3
Remember we are dividing by a negative number so we have to flip the inequality sign
We're left with
x<3
Answer:
Solution bayan imnot aure
2. A bookshelf costs $300 normally. Today it is on sale for 20% off. Which expression or expressions could you use to find the sale price? Circle all correct answers.
a.300 + 0.2(300)
b.300 - 0.2(300)
c.0.2(300)
d.300(0.8)
Answers
Answer/Step-by-step explanation:
$300 is the normal price the sale is 20% off
You would need to multiply them together because it then gives you how much it is off.
Then then you would subtract it.
That takes D and C off.
A , is adding and we arnt adding we are subtracting.
Therefore you answer is: B
2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
Answers
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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Patricia has 3 boxes of cards. Each box is 2 inches thick. The boxes are stacked on top of each other.
Answers
Answer:
6
Step-by-step explanation:
(c) Problem 17:
How far will the baseball have dropped after
4.5 seconds?
(first taught in
lesson 90)
Afton
Answers
After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.
To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.
The terms involved in this calculation are:
Time (t): 4.5 seconds.
Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.
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Find the volume of the composite solid. I have my work shown for problem 8. But somehow I’m not getting the correct answer. So, hopefully you can help me! :)
Answers
Given: A composite solid
To Determine: The volume of the given solids
Solution
The diameter of the cone is the same as the length of the prism. Therefore, the diameter is 4cm
\(\begin{gathered} Volume-of-a-cone=\frac{1}{3}\pi r^2h \\ r=\frac{d}{2}=\frac{4cm}{2}=2cm^2 \end{gathered}\)\(\begin{gathered} V_{cone}=\frac{1}{3}\times\pi\times2^2\times4 \\ =\frac{16}{3}\pi cm^3 \\ =16.76cm^3 \end{gathered}\)Volume of the rectangular prism is
\(\begin{gathered} V_{prism}=length\times width\times height \\ =4cm\times4cm\times4cm \\ =64cm^3 \end{gathered}\)The volume of the composite solid is
\(\begin{gathered} V_{solid}=V_{prism}-V_{cone} \\ =64cm^3-16.76cm^3 \\ =47.24cm^3 \end{gathered}\)Hence, the volume of the composite solid is 47.24cm³
Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.
Given △QRS ~ △XYZ, what is the value of tan(Q)?
Three-fifths
Three-fourths
Four-fifths
Answers
Answer:three-fourths
Step-by-step explanation:
because my dad said it was right
Stretched 1 cm beyond its natural length, a rubber band exerts a restoring force of magnitude 2 newtons. Assuming that Hooke's Law applies, answer the following questions:
(a) How far will a force of 3 newtons stretch the rubber band?
(b) How much work does it take to stretch the rubber band this far?
Answers
A) The distance that a force of 3 newtons would stretch the rubber band is; 0.015 m
B) The amount of work it takes to stretch the rubber band this far is; 0.0225 J
How to solve Hooke's Law?
From Hookes's law, as long as the elastic limit is not exceeded the extension is directly proportional to the force applied.
F = Ke
Where;
F = force
K = force constant
e = extension
Thus, for a restoring force of magnitude 2 newtons ;
2 N = K(1 × 10⁻²) m
K = 2 N /(1 × 10⁻²) m
K = 200 N/m
a) For a force of 3 newtons, we have;
3N = 200 N/m × a
Where a is the extension in meters
a = 3N/200 N/m
a = 0.015 m
b) The formula to find the work done is;
P.E = ¹/₂Ke²
P.E = ¹/₂ * 200 * 0.015²
P.E = 0.0225 J
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Evaluate the function f(x)=x-7 at the given value of the variable
A: f(11)
B. F(6)
A. F(11)=
Answers
Answer:
A. f(11) = 4, f(6) = -1
Step-by-step explanation:
Unless I'm missing something, all you should have to do is sub in x for number in parentheses. (i.e. "f(4) = x + 5" would be "f(4) = 4 + 5")
What is the difference between the inequality x ≤ 5 and the equation x = 5