The new height of the tree after it has increased by 12.5% is 5.4 meters
To find the new height of the tree after it has increased by 12.5%, we start by calculating the increase in height using the following equation
Increase = 12.5% of the original height
The original height is given as 4.8m. So, the formula can be expressed as follows
Increase = 12.5% * 4.8
Increase = 0.125 * 4.8
Increase = 0.6 meters
Add the increase to the original height
New height = Original height + Increase
The above equation can then be expressed as follows
New height = 4.8 + 0.6
New height = 5.4 meters
What is the value of n?
Enter your answer in the box.
n = cm
Answer:
n = 14 cm
Step-by-step explanation:
We are required to find the find the value of n.
Since, we have the lines are intersecting in the circle.
So, using the 'Intersecting Chord Theorem', which states that the product of the line segment formed by the intersecting lines are equal.
[tex]4\times n= 8\times 7[/tex]
i.e. [tex]4n=56[/tex]
i.e. n = [tex]\frac{56}{4}[/tex]
i.e. n = 14
Hence, the value of n is 14 cm.
A car traveled 75% of the way from town A to town B at an average speed of 50 kmph. The car travels at an average speed of S kmph for the remaining part of the trip. The average speed for the entire trip was 40 kmph. What is S?,
how Many decameters are in 13 hectometers
1. If 9 students sharpen 18 pencils in 2 minutes, how many students will it take to sharpen 18 pencils in 1 minute?
A.) 2
B.) 9
C.) 18
D.) 36
2. If y varies inversely with x, and y = –16 when x = –64, what is the constant of variation?
A.) 16
B.) 64
C.) 100
D.) 1,024
3. The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?
A.) 4
B.) 3
C.) -1
D.) 1,
The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?
6) On a trip to his grandparents, Donny drove 60 miles per hour for 45 minutes and 50 miles per hour for 30 minutes. How many miles did Donny drive?
WRITE IN SIMPLEST FORM : COS INVERSE( 3/5 COS X + 4/5 SIN X ),
What is the distance between the points (5, 7) and (-3, 4) on the coordinate plane?
Answer:
Option B [tex]8.54\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Let
[tex]A(5,7)\\E(-3.4)[/tex]
substitute the values
[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]
[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]
[tex]dAB=\sqrt{73}=8.54\ units[/tex]
Someone please help me
Plot (−134,412) on the coordinate plane.
We are given coordinate (-1 3/4, 4 1/2).
(-1 3/4, 4 1/2) represents x-coordinate -1 3/4.
And y-coordinate 4 1/2.
First we need to go -1 and three fourth between -1 and -2.
And then for 4 1/2, we need to got 4 above on y-axis and then a half between 4 and 5.
We would draw the coordinate of intersection of vertical line of point -1 3/4 and horizontal line at 4 1/2.
The shown green point on the graph is the coordinate (-1 3/4, 4 1/2).Answer:
I hope this helps! <3
Step-by-step explanation:
The cost of producing hard drives has three parts: cost of materials, cost of labor, and cost of equipment. To produce x hard drives, the cost of materials is 30x dollars and the cost of labor is 10x cents. The cost of equipment is a one-time, fixed amount of $10,000. Which equation could represent the cost function for making x hard drives? Answer Choices f(x)=10,030.1x f(x)=10,000x+40 f(x)=30.1x+10,000 f(x)=40x−10,000
Why does an enzyme function as a catalyst in a reaction?
A. It maintains the proper temperature needed for the reaction.
B. It decreases the amount of energy needed for the reaction.
C. It creates the right pH needed for the reaction.
D. It provides the extra energy needed for the reaction.
Answer: Less energy is required for the reaction so B
Step-by-step explanation:
Darcy deposited $390 into a savings account. As long as the account balance remains at or above $150, she does not have to pay a service fee for the account. For how many months can she withdraw $40 a month without having to pay service fees?
The number of months that she can withdraw $40 is 6 months.
How many times can she withdraw $40?
The equation that can be used to determine the number of times she can withdraw $40 and still have at least $150 is:
$150 = $390 - $40x
Where: x is the number of withdrawals
In order to determine the value of x, take the following steps
Combine similar terms: $390 - $150 = $40x
Add similar terms: $240 = $40x
Divide both sides of the equation by $40
x = 6
To learn more about division, please check: https://brainly.com/question/194007
FOR THESE 3 QUESTION I WILL GIVE 40 POINTS BRAIN LEST AND 5 STAR RATEING
Does anybody know the answer to X
Find the measure of the supplement of the angle.
In a game of poker 5 cards are drawn from a pack of 52 well shuffled cards. find the probability that at least one ace is drawn
For a given right triangle side a =490 feet and side b = 960 feet
Suppose you roll a special 49-sided die. what is the probability that the number rolled is a "1" or a "2"?
Final answer:
The probability of rolling a "1" or a "2" on a 49-sided die is found by adding the separate probabilities of each event, resulting in 2/49 or approximately 0.04082.
Explanation:
In probability, when you want to find the chance of one event or another occurring, you add the probabilities of each event if they cannot happen at the same time. Given a special 49-sided die, each outcome is equally likely, and every roll is an independent event. Therefore, the probability of rolling a "1" is 1 out of 49, and the probability of rolling a "2" is also 1 out of 49. To find the combined probability of rolling either a "1" or a "2", you simply add these two probabilities together.
The probability of rolling a "1" is 1/49, and the probability of rolling a "2" is 1/49. So, the combined probability (P) is:
P("1" or "2") = P("1") + P("2") = 1/49 + 1/49 = 2/49 or approximately 0.04082.
The measure of an angle is 68°. what is the measure of a complementary angle?
the printed matter on a 14 by 18 centimeter page of a book must covor 140 square centimeters. if all margins are to be the same width, how wide should they be?
How does a high-mass star differ from a low-mass star as both enter the final stages of their life cycle?
A. A high-mass star dies more explosively.
B. A high-mass star ends in a nova event.
C. A high-mass star ends when it runs out of hydrogen.
D. A high-mass star converts helium to carbon, whereas a low-mass star does not.,
Select the actual distances represented by the following scale distances if the map scale is 1 centimeter = 1 kilometer
23 centimeters =
a. 0.023 kilometers
b. 0.23 kilometers
c. 23 kilometers
0.5 centimeters =
a. 0.5 kilometers
b. 50 kilometers
c. 500 kilometers
9 centimeters =
a. 0.9 kilometers
b. 9 kilometers
c. 0.009,
Answer:
Correct options are:
c
a
b
Step-by-step explanation:
The map scale is:
1 centimeter = 1 kilometer
23 centimeters=23 kilometers
Correct option is: c
0.5 centimeters=0.5 kilometers
Correct option is: a
9 centimeters=9 kilometers
Correct option is: b
What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 3:7?
Answer:
The ratio is [tex]\frac{27}{343}[/tex] or 27:343
Step-by-step explanation:
The volume of cylinder is = [tex]V=\pi r^{2} h[/tex] ; where r is radius and h is height.
Given that the ratio of the heights and radii of two similar cylinders is 3 : 7.
Let r' be the radius and h' be the height of the other cylinder.
Its volume is [tex]V'=\pi r'^{2} h'[/tex]
According to the given information, we have
[tex]\frac{r}{r'}=\frac{h}{h'}=\frac{3}{7}[/tex]
Hence, we get
[tex]\frac{V}{V'}=\frac{\pi r^2h}{\pi r'^2h'}[/tex]
= [tex](\frac{3}{7})^{2} \times \frac{3}{7}[/tex]
= [tex]\frac{27}{343}[/tex]
Therefore, the ratio is 27:343
Circle Y is shown. What is the area of the shaded part of the circle?
This question will employ the use of the formula for the area, A, of a sector of any circle. The formula is as:
[tex] A=\frac{\theta}{360^{\circ}}\times \pi r^2 [/tex]
Where [tex] \theta [/tex] is the angle subtended by the required sector. In our case, the sector is the shaded region and we need to find the angle of that shaded region. We know that the total angle of a circle is 360 degrees and the unshaded region subtends an angle of 75 degrees. Thus, the value of [tex] \theta [/tex] is calculated to be:
[tex] \theta=360^{\circ}-75^{\circ}=285^{\circ} [/tex]
r is the radius of the circle which in our case is 9 cm.
Thus, the area of the shaded region is:
[tex] A=\frac{285}{360}\times \pi\times 9^2=\frac{19}{24}\pi\times 81 =\frac{19\times 81}{24}\pi [/tex]
[tex] \therefore A=\frac{19\times 27}{8}\pi=\frac{x}{y} =\frac{513}{8}\pi [/tex] cm^2
Thus, Option D is the correct option.
Please help asap!!! 16 points
what is the sum or difference 10y^10-14y^10
Answer:
The required solution is [tex]-4y^{10}[/tex].
Step-by-step explanation:
The given expression is
[tex]10y^{10}-14y^{10}[/tex]
Take out the common factor [tex]y^{10}[/tex] from both terms.
[tex]y^{10}(10-14)[/tex]
[tex]y^{10}(-4)[/tex]
[tex]-4y^{10}[/tex]
Therefore the required solution is [tex]-4y^{10}[/tex].
how many numbers are between 1 and 3 ?
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. a pollster contacts 90 people in the 18-21 age bracket and finds that 76 of them respond and 14 refuse to respond. when 297 people in the 22-29 age bracket are contacted, 262 respond and 35 refuse to respond. assume that 1 of the 387 people is randomly selected. find the probability of getting someone in the 18-21 age bracket or someone who agreed to respond. report the answer as a percent rounded to one decimal place accuracy. you need not enter the "%" symbol. prob = 23.3 incorrect%
Interest rates of 5%,6%,8%, earned on investments of $13,000,$12,000,$4,000. Calculate total amount of interest earned