A block of wood has the shape of a triangular prism. The bases
are right triangles. Find its surface area.
4.5 in.
6 in
16 in
75 in.
The surface area is in.2.
Answer:
225 in.²
Step-by-step explanation:
Surface area of triangular prism = bh + (s1 + s2 + s3)*L
Where,
b = 4.5 in.
h = 6 in.
s1 = 7.5 in.
s2 = 4.5 in.
s3 = 6 in.
L = 11 in.
Plug in the values
Surface area = 4.5*6 + (7.5 + 4.5 + 6)*11
Surface area = 27 + 198 = 225 in.²
The value of an investment property after t years can be found using the formula V =C (1 + r)^2, where V is the current
value of the property, C is the original investment,
and r is the annual rate of appreciation.
a. Solve the formula for r.
b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same
rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.
Answer:
0.871
Step-by-step explanation:
a. Solve the formula for r.
V = C (1 + r)²
dividing both sides by C, we have
V/C = (1 + r)²
(1 + r)² = V/C
taking square root of both sides, we have
√(1 + r)² = √(V/C)
1 + r = √(V/C)
r = √(V/C) - 1
b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same
rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.
Since r = √(V/C) - 1 and V = $ 175,000 and C = $ 50,000
Substituting the values of the variables into the equation for r, we have
r = √($ 175,000/$ 50,000) - 1
r = √3.5 - 1
r = 1.871 - 1
r = 0.8708
r ≅ 0.871
1) Use your own words to explain the following terms:
function,
domain, range vertical line test.
Function: A function is a mathematical relationship between two sets of values, where each element in the first set (called the domain) is related to exactly one element in the second set (called the range). A function can be represented by a formula, equation, or graph, and it describes how one set of values is related to another.
Domain: In a function, the domain is the set of all possible values that can be used as input for the function. It is the set of values that the function operates on.
Range: In a function, the range is the set of all possible values that can be produced as output by the function. It is the set of values that the function produces as a result of operating on the domain.
Vertical line test: The vertical line test is a method used to determine whether a graph represents a function.
Hope This Helps You!
3. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with
См
a radius of 1 m. The entire area of the park has grass with the exception of the bases for
the lamps. Calculate the lawn area.
Answer:
Area of the lawn = 62493π m^2
Step-by-step explanation:
Which of the following best describes X on the scatter plot below?
The option that best describes X on the scatterplot is;
C: Outlier
How to Interpret a scatterplot?Let us first define the terms in the given options before we analyze the scatterplot.
1) Negative correlation is defined as a relationship between two variables whereby one variable increases while the other decreases, and vice versa.
2) A nonlinear relationship is also referred to as nonlinear association, and it exists when a constant change in the independent variable does not result in a constant change in the dependent variable.
3) An outlier is defined as a data point that differs significantly from other observations.
4) Clusters are small populations that a wider population is divided into.
Now, from the scatter plot, we see that X is isolated from the plotted points which tells us that it differs greatly from the other points and as such it fits the definition of an outlier.
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The missing options are;
A. negative correlation
B. nonlinear association
C. outlier
D. cluster
Evaluate the expression 4 x (9 ÷ 3) + 6 − 2 using PEMDAS. (4 points)
Group of answer choices
27
24
16
11
The correct answer is option c) 16.
4 x (9 ÷ 3 ) + 6 - 2
Simplification can define as exicute the operations according to the mathematical operators.
4 x (9 ÷ 3 ) + 6 - 2
by PEMDAS
Bracket solved 1 st
than division further mortification, addition and substraction.
4 x (3 ) + 6 - 2
12 + 6 - 2
= 16
Thus the required value of simplification is 16.
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9. Lisa bought h shares of Home Depot stock for x dollars per share. She sold all of the
shares years later for y dollars per share. Express her capital gain algebraically.
Answer:
(hy)-(hx)=P
Step-by-step explanation: to get the total price of stock you multiply the cost of one share by how many shares were bought. After being sold years later they made a profit, you must subtract the total cost from this profit to find the total profit.
Show that 100 divided by 20 is 5, using at least five daily life examples.
Answer:
true
Explanation
1. if a man has a hundred apples and like to share between 20 men. this has to be equal.
5 to 1man.
"describe the domain and range for f(x)=3^x-1"
Answer:
Domain: All real numbers
Range: All real numbers greater than or equal to -1
Helppp asp !! A system of equations is shown x+y=7. 2x-y=-1. What is the solution to the system of equations
Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.
what is equations ?Its simplest form is thought to be the number's smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and numerator. A fractional number can be checked to discover if it is a prime number. A statement having two quadrilateral and an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in descending order in the general form of any equation. The formula for a linear equation is x + b = 0. The general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Either contingent equations or identities are categories for equations. An identity holds true for whatever value of the variables.
given
x+y=7
2x-y=-1
8x=20
x= 5/2
-4y = -8
y = 2
Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.
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Find x.
Round to the nearest tenth:
28°
350 ft
y
x = [ ? ]ft
Answer:
745.5 ft
Step-by-step explanation:
Reference angle (θ) = angle of depression = angle of elevation = 28° (alternate angles are congruent)
Opposite side = 350 ft
Hypotenuse = x
Apply the trigonometric function, SOH:
Sin θ = Opp/Hyp
Sin 28° = 350/x
x = 350/Sin 28
x = 745.5 ft (nearest tenth)
Does:
the difference between a number and five
Translate to
n - 5
or
5 - n
PLEASE HELP!
Answer:
n - 5
Step-by-step explanation:
have a good day :)
Answer:
n-5
Step-by-step explanation:
first stated should be at first, and second stated will be at second.
plz mark as brainliest
Write the missing number.
(a) 10 more than 23 is
Help PLEASE IN A RUSH!
Which graph represents this system?
y = 3. x + y = 4.
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7).
Answer:
first option
Step-by-step explanation:
y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3
x + y = 4 ← is the equation of a straight line
find the x and y- intercepts
to find the y- intercept let x = 0 in the equation and solve for y
0 + y = 4 , that is
y = 4 ⇒ (0, 4 ) is a point on line
to find the x- intercept let y = 0 in the equation and solve for x
x + 0 = 4 , that is
x = 4 ⇒ (4, 0 ) is a point on the line
the graph representing the system is
a horizontal line y = 3 and another line passing through (0, 4 ) and (4, 0 )
Help if you know how to do this! I’d really appreciate it!
The value of x is 20 and the value of y is 8 from the given quadrilaterals.
What is a Congruent Polygon?The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.
Given that, ABCD≅EFGH
We know that, corresponding parts of congruent polygon are equal.
Now, (4y-4)°=28°
4y=32
y=8
(10x-65)°=135°
10x=200
x=20
Therefore, the value of x is 20 and the value of y is 8 from the given quadrilaterals.
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Which of the following equations represent linear functions? select all that apply
Responses
3x+5y=1
y= -9/x2(2 is an exponent)
y=x2(2 is an exponent)-7
y=1/x
will give brainliest for whoever answers correctly and quickly
You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?
Therefore , the solution to the given problem of interest comes out to be $272.
What does interest mean?Simple interest is calculated by dividing initial capital by the interest rate, the duration, and other variables. The formula employed in marketing is simple return = principle + interest plus hours. This approach is the simplest way to calculate interest. Calculating interest as a percentage of the principle sum is the most common approach. For instance, he may only pay his portion of the interest if he borrowed $100 from a friend and agreed to pay it back with 5% interest. $100 (0.05) = $5. You should pay interest when you make loans, and you also must pay interest when you lend it. Usually, interest is calculated as a portion of a loan.
Here,
Given: $250 in principal
a 2.2% interest rate
and a 4-year term
To discover the basic interest:
Using this formula
Simple interest is equal to
=>P*R*T/100,
=> 250*2.2*4/100
=> 22.
Total amount after 4 years = 250 + 22 =272
Therefore , the solution to the given problem of simple interest comes out to be $272.
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how much will a person pay for 1.5 pounds of bananas at a price of .95 per pound
Answer:
1.425
Step-by-step explanation:
when 1pound is 0.95
then 1.5should be multiplied by 0.95
The number that appears in the middle of an organized set of data from least to greatest
A) Mean
B) Median
C) Mode
D) Range
I'll give brainliestttt
Answer:
Median
Step-by-step explanation:
Have a good day ^^
Guys, how much triangles this picture has?
Answer:
6 for the number of triangles or 7 because all the triangles form a hole triangle
Step-by-step explanation:
Answer: The answer is 6. If you add the triangle that all the small triangles are within, then you would get 7.
Median of 61, 53, 63, 63
what is
20x + 30x ( 23 - ( -9)
A piece of stained glass art forms a half circle. The part labeled a is green. What is the measure of angle a?
This is angles.
Answer:
40
Yea. Hope this helps? Adios
Answer:
40
Step-by-step explanation:
if this is what I'm sorry I'm not very good at math
Use the defined variables for the verbal model to write an equation in slope-intercept form that relates the variables.
$2/pound × Pounds of peaches + $1.50/pound × pounds of apples = $15
Let x represent the number of pound of peaches.
Let y represent the number of pounds of apples.
An equation is y = ___
Graph the equation.
An equation is y = -4x/3 + 10.
A graph of the equation is shown in the image attached below.
How to write an equation to model this situation?In order to write and graphically solve an equation that model this situation, we would assign variables to the number of pound of peaches and number of pounds of apples respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of pound of peaches.Let the variable y represent the number of pounds of apples.Next, we would translate the word problem into an algebraic equation as follows;
$2/pound × Pounds of peaches = 2x.
$1.50/pound × pounds of apples = 1.50y
Combining the two expressions above, we have the following:
2x + 1.50y = 15
Making y the subject of formula, we have:
1.50y = 15 - 2x
y = (15 - 2x)/1.50
y = -4x/3 + 10
Therefore, an equation in slope-intercept form that relates the variables is y = -4x/3 + 10.
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help pls i'm lost plssssssssssss
x4⋅x5=x20
Group of answer choices
True
False
Answer:
True.
Step-by-step explanation:
It explains itself right
Please answer these question(s)! It has to do with math statistics. I will give you brainliest and thanks! Please answer my other questions!
Answer:
3
Step-by-step explanation:
Why do people trust brainly to give a right answer?
Answer:
Because most of the times they can learn from their answers and the answers are correct.
Step-by-step explanation:
A rectangular room measures 10 feet by 120 inches. Tonya said the area of the room is 1200 square feet. What did Tonya do wrong?
Answer: Tonya's calculation is incorrect because she mixed units of measurement. She used feet to measure one dimension of the room (10 feet) and inches to measure the other dimension (120 inches) and then calculated the area as 10 x 120 = 1200 square feet.
Area is a measure of the amount of space inside a two-dimensional shape, and it's typically measured in square units. To calculate the area of a rectangular room, you multiply the length of the room by the width of the room,
However in this case, Tonya used different units of measurement for length and width (feet and inches), and therefore the answer is incorrect.
You would need to convert inches to feet before multiplying 10 feet by 120 inches to get the area.
120 inches = 10 feet
So, the correct calculation of the area would be 10 feet * 10 feet = 100 square feet
It's worth mentioning that before calculating any area or volume, it's important to make sure that all units of measurement are consistent and the same.
Step-by-step explanation:
Help me please help ASAP please I will mark brainliest
Answer:
124 units squared
Step-by-step explanation:
A(parallelogram) = 8 x 10 = 80
A(semicircle) = πr²/2
however, we need to use the Pythagorean Theorem to find 'r'
r² + 6² = 8²
r² = 84-36
r² = 28
r = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{7}[/tex] or 2[tex]\sqrt{7}[/tex]
A = π(2√7)² / 2
A = 4·7π / 2
A = 14π which is approx 44
Total Area = 44 + 80 = 124