Answer:
16 units
Step-by-step explanation:
|3t – 9| = 3 Step by step
Answer:
t = {4, 2}
Step-by-step explanation:
|3t-9| = 3
Split into two parts,
3t-9 = 3, and -(3t-9) = 3
Solve
t-3 = 1, and -(t-3) = 1
t = 4, and -t+3 = 1
t = 4, and t=2
The mean of five numbers in a set is 12. If the set contains a total of six numbers and the mean of all six is
14, which of the following is the sixth number?
(1) 24
(3) 32
(2) 13
(4) 18
=========================================================
Explanation:
The process of finding the arithmetic mean involves two steps
add up all the numbersdivide by n, which is the number of values in the setThe first bit of info your teacher gave you is "the mean of five numbers in a set is 12". While we don't know the actual individual values themselves, we know that they must add to some variable y. Dividing y over n gets us the mean
y/n = mean
y/5 = 12
y = 5*12
y = 60
The five values add to 60.
----------
The next bit of info is that "the mean of all six is 14". That allows us to say:
(sum of all 6 values)/6 = mean
(sum of all 6 values)/6 = 14
( (sum of 5 values) + (6th value) )/6 = 14
(y + x)/6 = 14
(60 + x)/6 = 14
where x is the 6th number we want to find.
-----------
Solve for x
(60 + x)/6 = 14
60+x = 6*14
60+x = 84
x = 84-60
x = 24 so choice (1) is the answer
monica is standing in a building looking out a window at a tree the tree is 121 feet away from monica monica line of sight to the top of the tree creates a 42 degree angle of depression. what is the height of the tree rounded to the nearest tenth
Answer:
89.9 feets
Step-by-step explanation:
The diagrammatic representation of the problem is attached below.
The height, h of the tree can be calculated using the trigonometric relation :
Cosθ = adjacent / hypotenus
Cos 42 = h / 121
0.7431448 = h / 121
Height, h of tree = 121 * 0.7431448
Height = 89.9 feets
If John starts with $85 and is spending $5 per week and Ashley has $35 and is saving $7 per week when will Ashley have more than John
Answer:
85-5=80 week 1
75= week 2
70=week 3
65=week 4
60=week 5
and so on.
Then Ashley
35+7=42 week 1
49=week 2
56=week 3
63= week 4
70=week 5
Step-by-step explanation:
Ferris wheel has a 108-foot diameter and the center of the Ferris wheel is 58 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 6 radians per minute. Chance boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started.
Required:
a. Write an expression (in terms of t) to represent the number of radians Justin has swept out from the 3-0'clock position since the ride started.
b. How long does it take for Justin to complete one full revolution (rotation)?
c. c. Write an expression (in terms of t) to represent Justin's height above the center of the Ferris wheel (in feet)
Answer:
a. θ = 6t
b. 1.048 minutes
c. y = 54sin(6t)
Step-by-step explanation:
diameter d = 108 foot
distance above the ground = 58 feet
a.) expression to represent number of radians
radian = 6 rad/min
θ = wt
w = 6
θ = 6t
t is in minutes
b.) we are to find the time period for one full revolution
time period = 2π/6
π = 22/7
[tex]T=\frac{2(22/7)}{6}[/tex]
= 1.048 minutes
c. Expression showing Justins height above the ground
y = rsinθ -----(1)
θ = wt = 6t
we find the radius r
diameter = 2 * radius
108 = 2r
r = 108/2
= 54 foot
we put these values in the equation 1 above
y = 54sin(6t)
Can someone help me please
I need this answer quick and try get it correct
Calculate 38% of 40
Answer:
15.2
Step-by-step explanation:
Answer:
the answer is 15.2
Step-by-step explanation:
you j multiple them
2(x + _) = 2x + 10 Using the distributive property, what number would go in the blank in order for the given statement to be correct?
Answer:
10
Step-by-step explanation:
2
Answer:
2(x + 5) = 2x + 10
Step-by-step explanation:
2(x + A) = 2x + 10
2x + 2A = 2x + 10
Equating constant terms on both sides :
2A = 10
A = 5
Therefore , 2(x + 5) = 2x + 10
Length is 5 units and width is 8 units . What is the perimeter
Answer:
26 units all around
Step-by-step explanation:
when finding the perimeter use the formula
2(length) + 2(width)
in this case
length is 8
width is 5
5(2) = 10
8(2) = 16
10 + 16 = 26
PLEASEEEEEE HELLPPPPP MEEEEE
Answer:
It's A
Step-by-step explanation:
The r coordinate of x is positive 4 which would be the frist number.
The r coordinate of y is positive 1 which would be the second number.
A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help
Answer:
51 sq units
Step-by-step explanation:
after plotting the vertices, the height of the triangle is 6 and the base is 17
A = 1/2(6)(17)
A = 51 sq units
Chapter 12
ees
An isosceles triangular prism has a triangular end with a base of 14 inches, an altitude of 24 inches, and a side length 25 inches The height of the prism is
10 inches Calculate the Lateral and Total Surface areas of the prism?
Answer: 11176ft.
Step-by-step explanation:
Which pair of expressions below are equivalent (the same)?
a) 4(3b) and 7b
b) 4b + 5b and 20b
c)-5(2b + 2) and 20b
d) 3b + b + 2b and 6b
Please help it’s really important
PLEASE HELP ME !
Lance baked brownies for a school bake sale. The shaded figures stand for the brownies sold.
Part A What mixed number do the shaded portions stand for? Use what you know
about mixed numbers to explain why your answer is correct.
Pls help!!! Will name Brainliest
Solve for x:
Answer:
I think it’s 10
I need the answer fast pls
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
write the equation for the circle graphed below.
Answer:
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The equation of the circle
The equation of a circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex](h,k) \to center[/tex]
[tex]r \to radius[/tex]
From the attached graph,
[tex](h,k) = (1,-1)[/tex]
[tex]r = 0.5[/tex]
So, we have:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
Determine the smallest integer value of x in the solution of the following inequality.
-3x+10≤5
Answer: The smallest integer value of x in the solution is 1.
Step-by-step explanation:
The given inequality: [tex]-3x+10\leq5[/tex]
To solve the inequality, we first subtract 10 from both sides
[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]
Multiply negative sign on both sides ,we get
[tex]3x\geq5[/tex]
Divide both sides by 3, we get
[tex]x\geq\frac{5}{3}[/tex]
i.e. [tex]x\geq 1.6666666667\\[/tex]
[tex]x\geq1[/tex]
Hence, the smallest integer value of x in the solution is 1.
Someone, please help I will crown brainliest
Answer:
6
Step-by-step explanation:
Y=-x+7
Y=-1+7
Y=6
Patient A receives 3 times the amount of certain medicine as Patient B. The two doses add to 200 milligrams. What amount of the medicine does each patient receive?
change this in 12 hour clock. 19 15
Answer:
th answer is 7:15 pm
Step-by-step explanation:
basically just count with your hands if you want, start with one finger and say 13 and go up from there, 7th finger is the 19th. Thats my easiest way of doing it. Or you can subtract 24-19 and subtract 12 from the remaining sum
What is the MAD? 4, 32, 33, 45, 67
Answer:
No solution can be determined from the information provided.
Step-by-step explanation:
It would be nice if somebody could help me! (I'm trying to give out points!)
Answer:
chupapi muyanyo
Step-by-step explanation:
Answer:
3) A) 8 tomatoes are in Priya's garden
B) 18 since they are missing 2 tomatoes
4) I cant really answer with the information given.
Step-by-step explanation:
I need more information for number 4
Select the correct answer.
Which statement is true about this function for all values of x < 4?
The function is positive.
The function is increasing.
The function is decreasing.
The function is negative.
Answer:
The function is decreasing
Step-by-step explanation:
For all values of x<4, the function is decreasing. Because the restricted domain would be (-∞,4), then x increases as y, or f(x), decreases.
If 4% of a number is 8, find 1% of that number.
Answer:
8 is 4% of 200, 1% of 200 is 2
solve these plz
10 points for these plz solve
A napkin is 18 inches long. A tablecloth is 6 times as long as the napkin.
How much longer, in inches, is the tablecloth than the napkin?
If d is the difference in the length of the tablecloth and the napkin,
which pairs of equations can be used to solve the problem? Select all that apply.
A. 6 × 18 = 108 and d – 18 = 108
B. 6 × 18 = 108 and 108 – 18 = d
C. 6 × 18 = 108 and d + 18 = 108
D. 6 × 18 = 108 and d + 108 = 18
E. 6 × 18 = 108 and 18 × 108 = d
Answer:
The answer is B. 6×18= 108 and 108-18= d
(D = 90) the difference between the length of the tablecloth and napkin.
What is the slope of the line in the graph?
Options:
-4/3
-3/4
3/4
4/3
Answer:
Option 2: -¾
Step-by-step explanation:
First identify 2 points on the line.
(0, 1), (4, -2)
Substitute the coordinates into the gradient formula below:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.
Slope of the line
[tex] = \frac{1 - ( - 2)}{0 - 4} [/tex]
[tex] = \frac{1 + 2}{ - 4} [/tex]
[tex] = - \frac{3}{4} [/tex]
☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.
The Caudell family went out to dinner. If
their dinner bill came to $52.50 and they
paid $61.95, what percent of a tip did they
leave their waiter?
A. 18%
B. 15%
C. 20%
D. 16.5%
Which triangle isn't similar to QRS?
Answer:
∆ RPQ
Step-by-step explanation:
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