The diameter is 10ft what is the radius
Radius- 5
The radius is half, so if you want to find the radius, you have to see what if half of the diameter, which is 10. So 10 divided by 2 is 5 which is the radius. Easy.
Simply the equation
1/4(-16x+8)
ill give whoever solves it ten points helppp
Answer:
-4x+2
Step-by-step explanation:
rewright factor and reduce
The HCF of 2 numbers is 75 and their LCM is 1500. If one of the numbers is 300, find the other.
The other number is 375.
Step-by-step explanation:
The given information are,
The HCF of two numbers is 75.The LCM of the two numbers is 1500.The one number out of the two numbers is 300.
Let, the another number be assumed as 'x'.
The first number = 300 and the second number = x.
To find the number x :
The HCF × LCM = product of two Numbers is a logic to used to find the unknown number.
We know the values of HCF = 75 , LCM = 1500 and one number = 300 and the second number is x.
Therefore, substituting those values in the above formula, we get
⇒ 75 × 1500 = 300 × x
⇒ 1125 / 3 = x
⇒ 375 = x
Therefore, the second number is 375.
x^3-10x=100
Use a trial and improvement method to find this solution.
Give your answer to 1 decimal place.
Show working
The value of x is approximately 5.4 when x^3 -10x = 100
How to solve the equation?The equation is given as:
x^3 -10x = 100
Using trial by error, we keep testing for the value of x that is true for x^3 -10x = 100
After several attempts, we have:
x = 5.4 (approximately)
Substitute 5.4 for x in x^3 -10x = 100
5.4^3 -10 * 5.4 = 100
Evaluate
103.5 = 100
Approximate
100 = 100
This means that x is approximately 5.4 when x^3 -10x = 100
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A solution to the equation x^3 −10x=100 using the trial and improvement method is approximately x=5.3 (rounded to 1 decimal place).
let's use the trial and improvement method to find a solution for the equation
x^3 −10x=100.
Start with a reasonable guess for x. In this case, it's often helpful to start with small integers.
Substitute the guess into the equation and see if it satisfies the equation.
Let's try
5^3 −10×5=125−50=75
The result is not equal to 100. Since the result is less than 100, we need to increase our guess.
Let's try
6^3 −10×6=216−60=156
The result is still not equal to 100. Since the result is now greater than 100, we need to decrease our guess.
Let's try
5.5^3 −10×5.5=166.375−55=111.375
This result is still greater than 100, so we need to try a smaller value.
5.2^3 −10×5.2=140.608−52=88.608
Now, this result is closer to 100. We can continue to refine our guess.
Let's try
5.3^3 −10×5.3=150.097−53=97.097
This result is getting closer to 100. We can keep refining our guess, but for the sake of brevity, let's stop here.
So, a solution to the equation x^3 −10x=100 using the trial and improvement method is approximately x=5.3 (rounded to 1 decimal place).
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a car dealership pays 8,350 for a car. they mark up the price by 17.4% to get the retail price. what is the retail price at this dealership
Answer:
9802.9
Step-by-step explanation:
find 17.4% of 8350 and then add that to the original price
How do I do this table !!!
Answer:
Step-by-step explanation:
just mutiply 120 by 1,2,3,4,5,6,7,8
15 points if you get this question right for me
m∠R = 110° and m∠S = 110°
Solution:
Given data:
RSWY is a parallelogram.
∠R = (5x – 90)° and ∠S = (2x + 30)°
In RSWY, ∠R and ∠S are opposite angles.
Opposite angles of a parallelogram are congruent.
m∠R = m∠S
(5x – 90°) = (2x + 30)°
5x° – 90° = 2x° + 30°
Add 90° on both sides of the equation, we get
5x° = 2x° + 120°
Subtract 2x° on both sides of the equation, we get
3x° = 120°
Divide by 3 on both sides of the equation.
x° = 40°
Substitute x = 40 in m∠R and m∠S.
m∠R = (5x – 90)°
= 5(40°) – 90°
m∠R = 110°
m∠S = (2x + 30)°
= 2(40°) + 30°
m∠S = 110°
Hence m∠R = 110° and m∠S = 110°.
Antoine manages a number of apartment buildings that use natural gas for heating, cooking, and laundry. The scatter plot shows the correlation between the outside air temperature and Antoine’s natural gas bill. Which type of correlation does the plot illustrate? A. strong negative B. strong positive C. weak negative D. weak positive Scatter plot is attached
Answer:
A. Strong negative
General Formulas and Concepts:
Statistics
Positive Correlation - trend of data points has a best line of fit that is positive (sloping up)Negative Correlation - trend of data points has a best line of fit that is negative (sloping down)No Correlation - trend of data points does not have a best line of fitStep-by-step explanation:
According to the graph and the data set, we can see that we do indeed have a negative correlation trend. Therefore, options B and D can be eliminated.
Looking at the graph, we can see that we can definitely tell that it is a negative slope and it would be pretty steep. Therefore, the best answer choice would be A. Strong negative.
Find the value of each variable. If you answer is not an integer, express it in simplest rauitar
Also find the perimeter of the triangle.
find P(A or B),if the events are disjointed
P(A)=9/25
P(B)=9/25
A 4/25
B 18/25
C 0
D 9/25
Answer: I dont know
Step-by-step explanation:
He is almost dead and wants the pp
How to get the answer for this?
Answer:
NF = 16 units
Step-by-step explanation:
The in-center of a triangle is a point inside the triangle and equidistant from the three sides of the triangleIt is the center of the circle which touch the three sides of the triangle (each side of a triangle is tangent to the circle and the segments drawn from it to the points of tangent are radii of the circle)∵ N is the in-center of ΔABC
∴ N is equidistant from the sides AB, BC and CA
- That means the perpendicular segments from N to AB, BC
and AC are equal
∴ ND = NE = NF
∵ ND = 6x - 2
∵ NE = 3x + 7
- Equate them to find x
∴ 6x - 2 = 3x + 7
- Subtract 3x from both sides
∴ 3x - 2 = 7
- Add 2 to both sides
∴ 3x = 9
- Divide both sides by 3
∴ x = 3
- Substitute the value of x in ND to find its length
∵ ND = 6(3) - 2 = 18 - 2
∴ ND = 16 units
∵ ND = NE = NF
∴ NF = 16 units
Danny deposits $12,500 into a pension fund that invests in stocks. After a successful two years of investing in the stock market, the fund agrees to pay a simple interest rate of 12% per year. What will the balance on the account be after two years earning interest at this rate? Round your answer to the nearest dollar.
Answer: while earning interest at this rate, the total balance that will be found in the account will be $15,500
Step-by-step explanation:
Before calculating the amount that the sum will grow to after two years, we need to input the formula for calculating simple interest since what the pension fund agreed to pay is a simple if interest if 12%.
Simple interest (S.I) = [Principal(P) × Rate(R) × Time(T)]/100
In this case, the amount deposited initially us $12,500, this is therefore the principal (P). The pension fund agreed to pay a simple interest of 12%, this is then the rate(R). The investment is for a period of two years, this is the time, (t).
S.I = (12,500 × 12 × 2)/100
= $3,000
This is the total interest the deposit will yield. We then add this interest to the initial deposit of $12,500 to find the total amount that will now be in the account after the two years.
$12,500 + $3,000
= $15,500
The total balance in the account after the period of two years is $15,500
Final answer:
$15,500.
Explanation:
Danny is looking to calculate the final balance of his pension fund after two years of earning simple interest at a rate of 12% annually on a principal investment of $12,500. To determine the final balance, we need to use the formula for calculating simple interest:
Simple Interest = Principal × Interest Rate × Time
In this case, Principal is $12,500, the Interest Rate is 12% per year (or 0.12 when converted to a decimal), and Time is 2 years. So the calculation would be as follows:
$12,500 × 0.12 × 2 = $3,000
This means that the interest earned over two years is $3,000. To find the total balance after two years, this interest amount is added to the original deposit:
$12,500 + $3,000 = $15,500
HELP PLSSSSSSSSSSSSSSSSSSSSSQ
[tex]m\angle B= 41^{\circ},[/tex] [tex]m\angle F= 70^{\circ},[/tex] [tex]m\angle H = 61^{\circ},[/tex] [tex]m\angle K= 56^{\circ}.[/tex]
Step-by-step explanation:
Step 1:
The total of the angles in any triangle is 180°.
So to determine the third angle of the given triangles, we subtract the sum of the other two sides from, 180°.
The third angle = 180° - (the first angle + the second angle).
Step 2:
For triangle ABC,
[tex]m\angle B=180^{\circ}-(\angle A+\angle C)[/tex],
[tex]m\angle B=180^{\circ}-(83^{\circ} + 56^{\circ}) = 180^{\circ} - 139^{\circ} = 41^{\circ}.[/tex]
So [tex]m\angle B= 41^{\circ}.[/tex]
For triangle DEF,
[tex]m\angle F=180^{\circ}-(\angle D+\angle E)[/tex],
[tex]m\angle F=180^{\circ}-(61^{\circ} + 49^{\circ}) = 180^{\circ} - 110^{\circ} = 70^{\circ}.[/tex]
So [tex]m\angle F= 70^{\circ}.[/tex]
Step 3:
For triangle GHI,
[tex]m\angle H=180^{\circ}-(\angle G+\angle I)[/tex],
[tex]m\angle H=180^{\circ}-(49^{\circ} + 70^{\circ}) = 180^{\circ} - 119^{\circ} = 61^{\circ}.[/tex]
So [tex]m\angle H = 61^{\circ}.[/tex]
For triangle JKL,
[tex]m\angle K=180^{\circ}-(\angle J+\angle L)[/tex],
[tex]m\angle K=180^{\circ}-(83^{\circ} + 41^{\circ}) = 180^{\circ} - 124^{\circ} = 56^{\circ}.[/tex]
So [tex]m\angle K= 56^{\circ}.[/tex]
Please help asap!! Will give brainlist :)
what is it ????????????????????
Answer:
B. 1/10 i think c:
Step-by-step explanation:
Answer: 0.65 I think 1/10
Step-by-step explanation: You find 25% of 1, (.25), then add 2/5
Factor the following polynomial: "4x2−16"
Answer:
Step-by-step explanation:
does it have to be right?
Write the fraction equivalent of each decimal 36.90
Answer:
36.90 = (369/10)
write 5/9 AS A DECIMAL to the nearest tenth
Roxanne has $3,000 that she plans to invest into an account that earns 7% simple interest.Assuming she makes no additional deposits or withdrawals, how much interest will Roxanne earn after 15 years? *
Answer:
$3150
Step-by-step explanation:
I = P • R • T
Intrest Equals Principal Amout times Rate of Intrest times Amount of Time
P is our Principal amount of $3,000
R is our Rate of 7%
T is the time span of years
Now if we plug in the values and solve the equation we get $3150 dollars in intrest.
Final answer:
Roxanne will earn $3,150 in interest after 15 years.
Explanation:
To calculate the interest Roxanne will earn, we can use the formula:
Interest = Principal x Rate x Time
Where Principal is the initial amount invested, Rate is the interest rate, and Time is the number of years.
Plugging in the given values, we get:
Interest = $3,000 x 0.07 x 15
Interest = $3,150
Therefore, Roxanne will earn $3,150 in interest after 15 years. This implies that Roxanne will accumulate $3,150 in interest after 15 years, illustrating the straightforward application of the interest formula to quantify the financial growth derived from the initial investment over the specified period.
Find the equation of the line that passes through the points (-800, 200) and (-400, 300).
Answer:
y=1/4x+400
Step-by-step explanation:
Slope=Rise/Run=(300-200)/(-400-(-800))=100/400=1/4
Now we have the slope, making our equation:
y=1/4x+b
We need b, the y-intercept, which we can use any ordered pair to plug in:
200=1/4(-800)+b
200=-200+b
400=b
So the equation that passes through the points (-800, 200) and (-400, 300) is: y=1/4x+400
The equation of line that passes through the points P(-800, 200) and Q(-400, 300) is y = x/4 + 400.
What is the general equation of straight line?
The general equation of straight line is -
y = mx + c
Given is a line that passes through the points P(-800, 200) and
Q(-400, 300).
First we will find the slope of the line -
m = (y₂ - y₁)/(x₂ - x₁)
m = (300 - 200)/(-400 + 800)
m = 100/400
m = 1/4
Now, the line passes through the point Q(-400, 300). Therefore -
300 = (1/4) x (- 400) + c
300 = - 100 + c
c = 400
The final equation of the line will be -
y = x/4 + 400
Therefore, the equation of line that passes through the points P(-800, 200) and Q(-400, 300) is y = x/4 + 400.
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A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches, the company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which system of equations can be used to determine the number of standard edition games, s, and collector's edition games, c, that were ordered?
A) 75 − s = c
20s + 30c = 1,870
B) 75 + s = c
20s + 30c = 1,870
C) s − c = 75
25(s + c) = 1,870
D) s − c = 75
30s + 20c = 1,870
Answer:
A) 75 − s = c
20s + 30c = 1,870
Step-by-step explanation:
Let us call [tex]s[/tex] the number of standard edition games and [tex]c[/tex] the number of collectors edition games.
Each standard edition game has volume of 20 in³ and each collectors edition game has volume of 30 in³, together the shipping volume is 1870 in³; therefore,
[tex]20s+30c = 1870[/tex].
Also, the company receives a total of 75 copies of the game, which means
[tex]s+c =75.[/tex]
Thus, the system of equations representing the describing the situation are
[tex]20s+30c = 1870[/tex]
[tex]s+c =75,[/tex]
which from the given choices, matches choice A. ([tex]75-s=c[/tex] can be rewritten as [tex]s+c =75[/tex])
The equation of line p is y= –9/8x − 6 Line
q ,
which is perpendicular to line
p ,
includes the point
(7, 7) . What
is the equation of line
q ?
Answer:
the equasion of q is y=8/9x + 7/9
Step-by-step explanation:
1. to find the slope perpendicular to the slope of the first equasion, you have to find the negative recipocal, an easy way to find that is to switch the numerator and denominator of the slope as well as multiplying it by -1
2. now that you have found the slope that is perpendicular, your second equasion so far is y= 8/9x, to find the y-intercept, you plug in (7, 7) to x and y, making the equasion 7=8/9(7) + x, in this equasion x is the y intercept
3. when you solve for x for finding the y-intercept, x=7/9, which makes the equasion y=8/9x + 7/9
4,6, 12, 5, 8 mean, median,mode
Answer:
mean: 7
median: 6
mode: no mode
Step-by-step explanation:
To find the mean, add all numbers together and subtract by how many numbers there are:
4 + 6 + 12 + 5 + 8 = 35
35/5 = 7
To find the median, you put the numbers in order from smallest to largest and find the very center number:
4, 5, 6, 8, 12
The very center number is 6
To find the mode, you choose the number that appears most often. Since every number in this set only appears once, there is no mode.
Answer:
median=6, mean=5, mode=none
Step-by-step explanation:
median= number in the middle, mean= add up all numbers then divide by how many numbers there are, mode= most common number
lim tend to 0 1 minus cosx divided be x^2
-1
Step-by-step explanation:
because 1 - 2 is -1
Mrs.Kennedy has 1/4 liter of oranges she want to give 3 students in her advisory
John wants to measure the height of a tree.he walks exactly 100 ft from the base of the tree and looks up.the angle from the ground to the top of the tree is 33 degrees.how tall is the tree
Answer: The height of the tree is 64.94ft
Step-by-step explanation:
Using the trigonometry of angles
Tan theta = opposite/adjacent
Tan 33° = height of the tree/100
Height of the tree= tan 33° * 100
= 0.6494*100
= 64.94ft
The height of the tree is 64.94ft
The maximum sustained winds reached by a hurricane were 230 km per hour. a. What is this wind speed in miles per hour? b. What is this wind speed in meters per hour? c. What is this wind speed in meters per minute? d. Use the Internet to determine the highest category attained by hurricanes.
Given rectangle ABCD below,
a. Find the measure of the angles labeled below.
b. If the length of AB=3x–21, DC=34, BC=4y+32, and AD=62, find the values of x and y.
c. Find the perimeter and area of rectangle ABCD.
Answer:
(x, y) = (18 1/3, 7 1/2)perimeter = 192area = 2108Step-by-step explanation:
a) no angles are described or shown
__
b) Opposite sides are the same length, so we have ...
3x -21 = 34
3x = 55 . . . . . . . add 21
x = 55/3 = 18 1/3 . . . . . divide by 3
and
4y +32 = 62
4y = 30 . . . . . . . . subtract 32
y = 15/2 = 7 1/2 . . . . divide by 4
__
c) The perimeter is the sum of the side lengths, so is ...
P = 2(L+W) = 2(62 +34) = 192 . . . units
The area is the product of adjacent side lengths, so is ...
A = LW = 62·34 = 2108 . . . square units
Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box.
A' ( , )
B' ( , )
C' ( , )
D' ( , )
Answer:
The coordinates of ABCD after the reflection across the x-axis would become:
A'(2, -3) B'(5, -5)C'(7, -3)D'(5, -2)Step-by-step explanation:
The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:
x-coordinate of the point does not change, buty-coordinate of the point changes its signIn other words:
The point P(x, y) after reflection across x-axis would be P'(x, -y)
P(x, y) → P'(x, -y)
Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:
P(x, y) → P'(x, -y)
A(2, 3) → A'(2, -3)
B(5, 5) → B'(5, -5)
C(7, 3) → C'(7, -3)
D(5, 2) → D'(5, -2)
Therefore, the coordinates of ABCD after the reflection across the x-axis would become:
A'(2, -3) B'(5, -5)C'(7, -3)D'(5, -2)the angle of elevation from point c to the top of the cliff is 34°. if point c is 1,000 ft from the base of the cliff, how high is the cliff.
Answer:
675 ft (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.