Answer:
Height of the tree = 92.61 feet
Step-by-step explanation:
Given: Distance between base of tree and Mica = 75 feet
Angle of elevation to the top of tree = 51°
Assuming we have to find the height of the tree = H
This can be found by applying simple trigonometry.
The height of the tree becomes perpendicular and distance between base of tree and Mica is base.
Then, tan51° = H/75
⇒ H = 75× tan51° = 92.61 feet
What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4
Answer:
aₙ = 3n - 11Step-by-step explanation:
The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]
d = -5 - (-8) = - 5 + 8 = 3
a₁ = -8
Therefore:
[tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]
A bag contains 30 ping-pong balls, each with a different number written on it from 1 to 30. What is the probability of selecting a ball with a number that is less than 13?
Answer:
...
Step-by-step explanation:
Answer:
so you have a 40% chance or 2/5 chance
Step-by-step explanation:
30 numbers in total
12 are less than 13
so you have a 12/30
simplify
2/5 = 0.4 or 40%
a penny is dropped from a height of 144 ft. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is h(t) = 16t^2 - 144.
answers
t = 9seconds
t = 3 seconds
t = 18 seconds
t = 10 seconds
Answer:
The time of fall is 9 seconds
Step-by-step explanation:
We are asked to find the time between when the penny was dropped and when it landed.
To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.
From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by
[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1
in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax
Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0
We can now differentiate equation 1 above to get
h max = 16t - 0 ------------- equation 2
recall that h max = 144
plugging the value of h max into equation 2, we have
144 = 16t
t = 9 seconds
Therefore the time of fall is 9 seconds
Answer:
t= 3 seconds
Step-by-step explanation:
I took the quiz and this is the answer
helpp!!! i need help with this!
Answer:
51
Step-by-step explanation:
The two tangent lines can be set equal to each other
10x - 19 = 4x + 23
Solve for x
10x - 19 = 4x + 23
-4x -4x
6x - 19 = 23
+19 +19
6x = 42
6 6
x = 7
Plug in x and solve for FE
10x - 19 = 10(7)-19 = 51
Find the area of the shaded figure
Answer:
its 56 units square.
Step-by-step explanation:
(count the tiles in the shaded figure, you'll get the area)
x-3=2x-3-x
Please solve with answer and how you got the answer
Answer:
3x-3
Step-by-step explanation:
You have to combine like terms. x and 2x have the same variable, so this equals 3x, and then you subtract 3 so:
x-3=2x-3-x
=3x-3
HELP WITH THIS PLEASEEEE
Answer:
1) G
2) B
3) I
4) H
Step-by-step explanation:
Perimeter of a triangle formula:
P = a + b + c
1)
P = x + 6 + 3x + 2 + 2x + 4
P = 6x + 12
2)
P = 6x + 4 + 7x + 1 + 5x + 7
P = 18x + 12
3)
P = 4x - 3 + 3x + 5x - 6
P = 12x - 9
4)
P = 6x - 8 + 3x + 7 + 5x - 3
P = 14x - 4
Solve for x.
(x - 12)
2x
51
Answer:
114
Step-by-step explanation:
Please help will give brainliest
Answer:
no
Step-by-step explanation:
[3(a-2) / (a+2)(a-2)] - [6a / (a+2)(a-2)] = -3/(a-2)
the base of a jewelry box is a square with a side length of 5 1/2 inches. the box is 2 inches high. what is the volume of the box?
The volume of the jewelry box is 60 1/2 cubic inches.
The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:
Area = (5 1/2) × (5 1/2) = 30 1/4 square inches
The height of the box is 2 inches.
Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:
Volume = Area x Height = (30 1/4) × 2 = 60 1/2 cubic inches
Thus, the volume of the jewelry box is 60 1/2 cubic inches.
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find the measure of the angle
Answer:
95
Step-by-step explanation:
Answer:
95°
Step-by-step explanation:
it is five away from 90° so 95°
Give Brainllest plz
This box is 3/4 inch long, 1/2 inch wide, and 1/4 inch deep. What is the volume of the box?
A: 3/16 inch ^3
B: 3/8 inch ^3
C: 3/32 inch ^3
D: 1 1/2 inch ^3
The volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3
Calculating VolumeFrom the question, we are to determine the volume of the box
The volume of a box is given by the formula,
V = l × w × h
Where V is the volume
l is the length
w is the width
h is the height or depth
From the given information,
l = 3/4 inch
w = 1/2 inch
h = 1/4 inch
Thus,
Volume of the box = 3/4 × 1/2 × 1/4
Volume of the box = 3/32 inch³
Hence, the volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3
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In 2000 there were about 2172000 farms in the United States twenty four thousand of the farms were in South Carolina what percent of the farms were in South Carolina
Answer:
the percentage of the farms were in SOuth caroline is 1.10%
Step-by-step explanation:
The computation of the percentage of the farms were in SOuth caroline is shown below:
= NUmber of farms in south carolina ÷ number of farms in united states
= 24000 ÷ 2172000
= 1.10%
Hence, the percentage of the farms were in SOuth caroline is 1.10%
We simply used the above formula so that the percentage could come
A circle has a radius of 8 centimeters. The measure of the arc of the
shaded region is 72º. Which is closest to the area of the shaded section
of the circle?
1. 40.2 2. 160 3. 50.3 4. 10.1 ???
Answer: 10.1
Step-by-step explanation:
Plz Help!! NO LINK or REPORTED
find the volume of the cylinder!
Use 3.14 for pi-
round your answer to the tenths place !!
Will mark b if correct:)
Answer: this is the answer i got before rounding it 2123.72 but your answer is 2123.7 hope it helps
Step-by-step explanation:
Can I Sign in for free I'm a student so I don't know how to log in please help me I would appreciate your service thank you!
Answer:
you have to create an account which should be pretty easy to find and just use your personal email!
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation
You are signed in right now????
3. Find the area of the trapezoid.
(1 point)
14.5 cm
1
8 cm
19.5 cm
68 cm
O 136 cm
214 cm
268 cm
4. The radius of
I need help! Extra points
Question:
What is the surface area of the triangular prism?
Answer:
B) 120 square feetStep-by-step explanation:
8 x 6 x 2.5 is equal to the surface area
120
Nine students took a mathematics quiz. Their scores were 85 ,68 ,54 ,69 ,70 ,64 ,89 .77 ,71
Find the median.
Answer:
70
Step-by-step explanation:
The median is the value that is directly in the middle of the data set.
Hope this helps :)
The median of the mathematics quiz of the nine students is M = 70
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
To find the median of the scores, we need to first arrange them in order from smallest to largest:
54, 64, 68, 69, 70, 71, 77, 85, 89
Since there are nine scores, the median is the middle score when they are arranged in order.
In this case, the fifth score (70) is the middle score, so the median score is 70.
Hence , the median score for the math quiz is 70
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In the triangle shown, determine Angle A to the nearest degree.
A
12 m
10 m
R
M
Answer In the diagram, a = 47 m and angle a measures. 49°. ... 71.6 m. Cos luod. Nost. I 10 hod. "tan (49) = 1/2 x=tan 249). 47 x 64.1. X A ... 2. In the triangle shown, determine LA to the nearest degree. A. 6.7 1B) 9.0 ... triangle. The slanted sides are both 12 inches long and the bottom of the pad is 8 inches long. 11. ... RM 7.2 cm.:
Step-by-step explanation:
1
y>
5x + 3
What is the y-intercept
(xy)
What is the slope
Will the line be solid or dotted
Given:
The inequality is:
[tex]y>5x+3[/tex]
To find:
The y-intercept, slope and type of line (solid or dotted).
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
We have,
[tex]y>5x+3[/tex]
The relation equation is:
[tex]y=5x+3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=5[/tex]
[tex]b=3[/tex]
It means the slope is 5 and the y-intercept is 3.
The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.
Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.
If
4x + y = 13
- y = 2
then y =
Answer:
y = 2
Step-by-step explanation:
-y = 2, that means y = opposite of 2, which is -2
Hope that helps! :)
A hexagonal aquarium needs to hold 10 gallons of water and be 24 inches tall. What should be the area of the hexagon?
Answer:
240
Step-by-step explanation:
7th grade simple solutions math 85-88
Answer:
-3 85-88 lets turn that around 88-85 is 3 but the problem is 85-88 so its -3
Step-by-step explanation:
Answer:-3 (88-85=3
Step-by-step explanation:
Plz help me solve and show your work.
Hi there!
[tex]\large\boxed{h = \frac{15x}{y}}[/tex]
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
[tex]h = \frac{15x}{y}[/tex]
Which of the following are not true about a square
A.it has no right angles
B.all it’s sides are of equal lengths
C.it has opposite parallel
sides
D.it can be classified as a rectangle
What is the length of AC?
Answer:
2nd option
;)
I did this before-
Step-by-step explanation:
At a team meeting, 80% of the tennis team was there. If there were 12
people at the meeting, how many
people are on the team?
Answer:
15 people
Step-by-step explanation:
let x=total # of people on the team
80%=12
80/100=12/x
cross multiply
80x=1200
division property of equality (divide both sides by 80)
x=15
There are 15 people on the team.
You're a quality control manager in a fruit juice company. You want to choose
a sample size for a quality check on the cans used to package the juice. From
a batch of 30,000 cans, you want a sample size that will allow you to closely
approximate the population parameters for the entire batch. Which sample
size will most likely produce the least variability among different samples?
Answer:
246.
Step-by-step explanation:
a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78
b) The minimum sample size to achieve this is 246.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,
The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22
The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.
a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78
(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)
We need a sample size of n
n is found when
Then
Rounding up
The minimum sample size to achieve this is 246.