Answer:
195.6
Step-by-step explanation:
area of base= 1/2 * 8 * 6.9 = 27.6
area of lateral face= 1/2 * 8 * 14 = 56
total surface area = 27.6 + 56 + 56 + 56 = 195.6
Selena earned $4,283.30 last month. She used of her earnings to pay her bills. With the remaining money, she
bought two shirts for $19.99 each and a pair of sunglasses for $12.99. How much money does Selena have left from last
month's earnings?
Answer:
$4,256.31
Step-by-step explanation:
4,283.30 - 2(19.99) + 12.99 = x
Initial value (last month's earnings) - the two shirts, which were both 19.99 and the pair of sunglasses, which were 12.99.
4256.31 = x
What is the value of the expression below when w=2
Answer:
26
Step-by-step explanation:
8 * 2 + 10 = 26
Find the number that makes the ratio equivalent to 11:1.
?:4
Answer:
The unknown is 44
Step-by-step explanation:
We need to solve for x in the proportion given by :
11 / 1 = x / 4
multiply both sides by 4 to isolate x
11 * 4 / 1 = x
x = 44
Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd
1. Here is a sphere with radius 4 feet. What is the volume of the sphere? Express your answer in
terms of pi.
2. A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this
balloon holds. Use 3.14 as an approximation for it, and give a numerical answer
9514 1404 393
Answer:
1. (256/3)π ft³
2. 33.49 ft³
Step-by-step explanation:
1. Put 4 ft into the formula where r is, then simplify.
V = (4/3)π(4 ft)³ = (256/3)π ft³
__
2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.
V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³
The Rodriguez
family is on a
vacation. They
started with $1,875.
They have spent
$140 each day and
have $895 left for the
rest of their vacation.
Write and solve an
equation to find how
many days have they
been on their
vacation already?
2) Simplify: 2a + 3b - 4a + 5c - 2b
Answer:
-2a+b+5c
Step-by-step explanation:
Which of the following is a verbal
description of this expression?
2 – 3
B
А
Three less
than a number
An unknown
quantity less
than three.
Answer: Three less than a number
Step-by-step explanation: z-3 means the three is subtracted from the unknown number.
An unknown quantity less than three. would be 3 - z or z < 3
Answer:
A.) Three less than a number
Step-by-step explanation:
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
10 over=5
i asked this quetion
Answer:50
Step-by-step explanation:
Evaluate m + 7.5 when m = 8.6
Answer:
16.1
Step-by-step explanation:
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
To learn more about equation of line click :
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Do the indicated operation: Express your answers in the lowest terms
x/2+x/5
Answer:
7x/10
Step-by-step explanation:
Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps
Answer:
Each girl had $7.50 when they arrived.
Step-by-step explanation:
We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.
3x = x + 5
First, subtract x from both sides. This cancels out the addition by x.
3x - x = 5
Now, subtract x from 3x. This equals 2x.
2x = 5
To cancel out the multiplication by 2, divide both sides by 2.
x = 5/2
Lastly, divide 5 by 2 to get 2.5.
x = 2.5
Substitute x for 2.5 in the earlier equation (3x = x + 5)
3(2.5) = 2.5 + 5
First, multiply 3 by 2.5 to get 7.5.
7.5 = 2.5 + 5
Add 2.5 to 5 to get 7.5.
7.5 = 7.5
Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.
-7/8+(-1/8)=
-1. 4/9+(-2. 2/3)=
-1. 2/3+(-2. 1/3)=
Пожалуйста помогите 20 балов!!!!
I am going to pay $44 for a pack of awesome color pencils. The tax is 6%. How much is the taxes going to be?
Answer:
2.64 sales tax
Step-by-step explanation:
hope i helped you
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
Solve the System of Equations using Substitution.
-3x+2y=12
x=2y-8
Answer:
(-2,3)
Step-by-step explanation:
x=2y−8;−3x+2y=12
x=2y−8
−3x+2y=12
−3(2y−8)+2y=12
−4y+24=12
−4y+24+−24=12+−24
−4y=−12
-4y=-12
y=3
x=2y−8
x=(2)(3)−8
x=−2
1. Sen 495° debo o sea evaluarlas las funciones trigonométricas para ángulos que no se encuentra en círculos unitarios y me pide explicar y desmontar
Answer:
which language is this???
A person places $7120 in an investment account earning an annual rate of 7.4%, compounded continuously. Using the formula V = Pe^rt where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.
Answer:
16069.25
Just know that
P=Is the first number in the word prob.
R=the second number (percentage one) which you get into decimal form
T=the last number in the word problem
!!!ANSWER IMEDDIATELY!!! What is the area of this trapezoid?
Answer:
A
Step-by-step explanation:
I worked it out :)
Find the equation of a line which has:
slope of -2 and
crosses the y-axis at 5
in slope-intercept form
Answer:
y = -2x + 5
Step-by-step explanation:
Recall that slope-intercept form is y = mx + b where m is the slope and b is the y intercept
In this case our slope is m = -2
and, line crosses y-axis at 5 which is b = 5
thus, y = -2x + 5
Is this expression equivalent to 1.5?
0.15 / 10
(0.15 divided by 10)
Answer:
False
Step-by-step explanation:
0.15/10 equals 0.015
130 3x + 67 degrees
please please please please please please please help
Answer:
x=21
Step-by-step explanation:
Since the angle is the same size it is equal to 130 degrees.
A poker hand consists of 5 cards. If the cards have distinct consecutive values and are not all of the same suit, we say that the hand is a straight. For instance, a hand consisting of the five of spades, six of spades, seven of spades, eight of spades, and nine of hearts is a straight. What is the probability that one is dealt a straight
Answer:
The answer is blah blah blah blah
A radioactive substance decays at a rate of 3.4% per day. If it starts at 200 grams, how
many days will it take for the substance to decay to less than 150 grams?
Answer: 9
Step-by-step explanation:
Since the percent is decaying, you subtract 3.4 from 100, which gets you 96.6
200(0.966)^9 gets you 146.5 which is less than 150
2. Find the missing variable
(2x + 5)
(x + 9)
(3x - 2)
At the Denver International Airport, planes must clear a mountain that is 1000 feet tall that is a horizontal distance of 2800 feet away. At what angle of elevation must the plane take off in order to safely clear the mountain ? Round your answer to the nearest WHOLE degree.
PLEASE i need help
Answer:
19 degrees
Step-by-step explanation:
Will have a triangle with horizontal distance being 2800, and vertical being 1000 feet. Angle between the horizontal and hypotenuse is what we are looking for.
Thus it's a tangent function.
SOH
CAH
TOA <-----
Tangent is the opposite / adjacent
So we will be looking at doing an Arctan to find the angle.
Arctan α = [tex]\frac{1000}{2800}[/tex] = 19.29 degrees. Round to the nearest whole degree would be 19 degrees due to being less than .50
Your answer is 19 degrees
-52=-0.8k need a answer
Answer:
k is 65
Step-by-step explanation:
isolate the variables by dividing each side by factors that don't contain the variable
Give the system of inequalities x-2y=15. 2x+4y=-18 what are x and y
Answer:
For x-2y=15, it's x= 15 + 2y. For 2x+4y=-18, it's x= -9-2y.
Step-by-step explanation:
If there are two boys to every three girls, what percent of the class is girls?
Write an equivalent
measure in yards to to
126 in.?
1 ft = 12 in.1 yd = 3 ft