Answer:
44, 54, 82. Acute
Step-by-step explanation:
x + x + 10 + 2x - 6 = 180 (Triangle Sum Theorem)
4x + 4 = 180 (Combine Like Terms)
4x = 176 (Subtraction Property of Equality)
x = 44 (Division Property of Equality)
Now that we have found the value of x, we need to substitute it with the provided angles.
∡1 = x = 44°
∡2 = x + 10 = 54°
∡3 = 2x - 6 = 2(44) - 6 = 82°
So, the answer is an Acute triangle (Option 4).
Evaluate c/2 -3 + 6/d when c=14 and d=3
with an explanation if possible :))
Answer:
c/2-3+6/d
=
14/2-3+6/3
= (Order of Operations)
7-3+2
=
6
Step-by-step explanation:
See explanation above
steven had $5 that his mom gave him to buy lunch at school he spent $5 on his lunch. plot a point on the number line to show how much money steven has after he spent $5 on food
If Steven had $5 to buy lunch at school, and he spent all of the $5 on his lunch, then he will have $0 remaining, as plotted on the number line in the reference attachment hereby.
As per the question statement, Steven had $5 that his mom gave him to buy lunch at school and he spent all of the $5 on his lunch.
We are required to plot a point on the number line to depict how many dollars Steven has left with himself after spending on his lunch.
To solve this question, we simply need to subtract the amount Steven spent for his lunch, from the amount, his mother gave him to spend on lunch, and then plot the result of the said subtraction on the number line to obtain our desired answer.
Since, Steven had $5 to buy lunch at school, and he spent all of the $5 on his lunch, he has $(5 - 5) = $0 left with himself after spending on his lunch.
That is, we will have to plot 0 on the number line, which is shown in the reference attachment hereby.
Number Line: In elementary Mathematics, a number line is a graduated straight line that serves as visual representation of real numbers, marked at regular, equal intervals.To learn more about Number Line, click on the link below.
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Sergio Is asked to write one million in scientific notation. He writes 106 and gets it wrong.
Why was he wrong?
O He should have written 106.
O He should have written 10 5.
O He should have written 1 x 10 6.
He should have written 1 × 10 5.
In scientific notation, it should be written as 1 × 10⁶
What is notation?In mathematical notation, operations, unnamed numbers, relations, and any other mathematical objects are represented by symbols that are combined into expressions and formulae. Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 ×10⁸ in scientific notation.
Given Data
Sergio Is asked to write one million in scientific notation. He writes 106 and gets it wrong.
He should have written as 1 × 10⁶
A power of 10 and a number in the range of 1 to 10 are required for standard form.
In scientific notation, it should be written as 1 × 10⁶
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Write an equation of the line passing through point P(-1,-4) that is parallel to
y = -6x + 8
The equation of the line passing through point P(-1,-4) that is parallel to y = -6x + 8 is y = -6x - 10.
What is a straight line?A straight line is made up of an infinite number of points connected at their ends.
Any straight line's slope, "m," is determined by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line y = -6x + 8
m = -6
The slope of the line passing point P (-1,-4)
M = -6
y - (-4) = -6(x - (-1))
y + 4 = -6(x + 1)
y = -6x - 10
Thus, the equation of the line passing through point P(-1,-4) that is parallel to y = -6x + 8 is y = -6x - 10.
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Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q?
[p and q are integers]
Step 1 x2 + 10x + 24 − 1 = 0 − 1
Step 2 x2 + 10x + 23 = −1
Step 3 (x + 5)2 = −1
Step 1 x2 + 10x + 24 − 2 = 0 − 2
Step 2 x2 + 10x + 22 = −2
Step 3 (x + 5)2 = −2
Step 1 x2 + 10x + 24 + 2 = 0 + 2
Step 2 x2 + 10x + 26 = 2
Step 3 (x + 5)2 = 2
Step 1 x2 + 10x + 24 + 1 = 0 + 1
Step 2 x2 + 10x + 25 = 1
Step 3 (x + 5)2 = 1
The correct steps to transform equation x² + 10x + 24 = 0 into the form (x - p)² = q are:
Step 1 x² + 10x + 24 + 1 = 0 + 1
Step 2 x² + 10x + 25 = 1
Step 3 (x + 5)² = 1
In this question, we have been given an equation x² + 10x + 24 = 0
We need to transform given equation x² + 10x + 24 = 0 into the form (x - p)² = q
x² + 10x + 24 = 0 .............(Given equation)
x² + 10x + 24 + 1 = 0 + 1 ............(Add 1 to each side)
x² + 10x + 25 = 1
x² + 2(5)x + 5² = 1
(x + 5)² = 1
Therefore, the correct steps to transform equation x² + 10x + 24 = 0 into the form (x - p)² = q are:
Step 1 x² + 10x + 24 + 1 = 0 + 1
Step 2 x² + 10x + 25 = 1
Step 3 (x + 5)² = 1
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i need help ASAP!!!!!!!!!!!!
Answer:
420 mark Brainliest
Step-by-step explanation:
distance is going up by 60 and the points are moving 2 for time so at 12 it will be 360 then 14 will be 420 so the answer is 420
When an integer is subtracted from 5 times the next consecutive odd integer,the difference is 22.find the value of the greater integer
The value of the greatest integers will be 5.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
'' An integer is subtracted from 5 times the next consecutive odd integer, the difference is 22''.
Now,
Write the mathematical expression for an algebraic expression as;
Let an integer = 2x + 1
Then, The next consecutive odd integer = 2x + 3
So, We can formulate;
5 (2x + 3) - (2x + 1) = 22
Solve for x as;
5 (2x + 3) - (2x + 1) = 22
10x + 15 - 2x - 1 = 22
8x + 14 = 22
Subtract 14 both sides, we get;
8x + 14 - 14 = 22 - 14
8x = 8
Divide by 8,
x = 8/8
x = 1
Since, The greatest integers = 2x + 3
Substitute x = 1, we get;
The greatest integers = 2x + 3
The greatest integers = 2 × 1 + 3
The greatest integers = 2 + 3
The greatest integers = 5
Therefore, The value of the greatest integers will be 5.
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Please help me with this pls
Answer:
thw answer is 67.910
Step-by-step explanation:
the second one
Answer:
#2
Step-by-step explanation:
the four answers start with 67. So if you focus on the digits that come after the decimal, which ever digits are higher than the original decimal will be your answer
At the beginning of a month, your account balance was $738. During the month,
you withdrew $550, deposited $189, and paid a fee of $10. What was your balance
at the end of the n month?
Answer:
$367
Step-by-step explanation:
738-550+189-10=367
4. Given Segment AC such that point B is between A and C. If AC = 2x + 21, AB = x + 9, and BC = 3x - 4. a. What is the value of x b. How long is AC
On solving the given statement, the length of AC equals 37.
What is meant by line segment?
A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.
According to the given statement,
AC = 2x + 21
AB = x + 9
BC = 3x - 4
As B is the mid point of the segment AC,
⇒ AB + BC = AC
⇒ x + 9 + 3x - 4 = 2x + 21
⇒ 4x + 5 = 2x + 21
⇒ 2x = 16
⇒ x = 8
Length of AC = 2 (8) + 21
= 16 + 21
= 37
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Given the function f(x) = 3x + 1 and the linear function g(x), which function has a greater slope?
The function that has the greater slope is the function g(x) that is represented by the graph.
How to Determine the Slope of a Function?The slope (m) of a function using two points on a graph can be calculated as:
Slope of the line (m) = change in y/change in x
If we are given the equation of the line using function notation as .f(x) = mx + b, the slope of the function is represented in the equation as "m". The value of "m" is the slope of the function given.
Given the function, .f(x) = 3x + 1, the value that represents "m" which is 3. Therefore, the slope of the function .f(x) = 3x + 1 is: 3.
Find the slope of the function of the graph using two points on the line, say (2, 3) and (3, 7):
Slope of the function (m) = change in y / change in x = (7 - 3)/(3 - 2)
Slope of the function (m) = 4/1
Slope of the function (m) = 4
The larger the value of the slope, the greater the slope of the function.
Therefore, the function g(x) that is represented by the graph has a greater slope.
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Answer: B
Step-by-step explanation:
Simple
A rectangular carpet measures 10m by 6m. part of the carpet is covered by a square rug of length 2m. what fraction of the carpet is covered by the rug?
Answer: 1/15
Step-by-step explanation:
The area of the entire carpet is [tex](10)(6)=60[/tex] square meters.
The area of the square rug is [tex]2^2=4[/tex] square meters.
So, [tex]\frac{4}{60}=\frac{1}{15}[/tex] of the carpet is covered by the rug.
Answer: 1/15
Step-by-step explanation: The area of the entire carpet is square meters.
The area of the square rug is square meters.
So, of the carpet is covered by the rug.
Find n(A) when
A = {14, 16, 18, 20, 22, 24}
n(A) is 6 when A = {14, 16, 18, 20, 22, 24}
What is set?A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things. Sets are groups of clearly defined objects or elements in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.
Given Data
A = {14, 16, 18, 20, 22, 24}
We are aware that the cardinality, which is represented by the letter n, is the number of items in any set A.
n(A) = number of elements in set
n(A) = 6
n(A) is 6
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The marked of a jacket at a dealer's shop is Rs. 2400 The dealer allows a discount of 15% to the retailer. As the company's policy the marked price of the retailer should be the same as decler's marked price. What SP should the retailer fix for the Jacket ? What would it's final price beif 10% VAT is imposed? What would be the actual gain of retailer ? If 10% discount is allowed.
Answer:
Step-by-step explanation:
Given,
The marked price of a jacket at dealer shop is Rs. 2400
The dealer allows a discount of 15% to the retailer.
The marked price of the retailer should be same as the dealer's marked price.
To find,
1. SP the retailer should fix for the jacket
2. Its final price if 10% VAT is imposed
3. The actual gain of the retailer if 10% discount is allowed
Solution,
The SP rate for the jacket without VAT 2400
Let 10% VAT on jacket price 2400 be x
x= 2400÷10
x= 240
So, the final price including 10% VAT = 2640 (2400+240)
As the dealer allowed discount of 15% to the retailer, the retailer gain profit is 15% on the jacket price i.e., 2400
Let y be the gain of the retailer
y= 15/100 × 2400
y= 360
Therefore,
SP the retailer should fix for the jacket is 2400
final price if 10% VAT is imposed is 2640
the actual gain of the retailer is 360
Solve the following expression when
k = 12 and v = 6
4 + 5 - 4v + 12
g(n)=2n
h(n)=n^2-4
Find g(-9) + h(-9)
A) 4
B) 59
C) 20
D) 95
Answer:
g(-9)+h(-9)=59
the answer is B
when determining the maximum and minimum, why must the test point be in the feasible region
The constraints of a linear programming issue must all be concurrently satisfied for a solution to be viable. We are aware that the ideal solution must maximize the value of the goal function and be located at one of the corners of the feasible region.
What is a feasible and optimal solution?All of the constraints on the problem are met by a feasible solution. A feasible answer that, when maximized, yields the highest possible value for the objective function is known as an optimum solution (or smallest when minimizing). A linear program with two variables can be solved using a visual solution method.
A fundamental feasible solution (BFS), according to the theory of linear programming, is a solution with a small number of non-zero variables. Each viable solution polyhedron's corner correlates geometrically to a BFS. There must be an optimal BFS if there is an optimal solution. Therefore, taking into account the BFS-s is adequate to arrive at an ideal solution. The simplex algorithm, which effectively moves from one BFS to another until one is found that is optimal, makes use of this property.
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Simplify 9x^2-3x+7/x-2
Answer:
9x³−3x²−2x+7
Step-by-step explanation:
The table shows interest owed for a home improvement loan based on how long it takes to pay off the loan.
a. How much more interest is owed on $900 for 9 months than 6 months?
b. Does the interest rate increase at a constant rate?
Can you give a long good explanation please? Thank you <3
The $8.78 more interest is owed on $900 for 9 months than 6 months.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
(a)
The formula for simple interest:
I = Prt
I(for 9 months) = 900x(2.9/100)(9/12)
I(for 9 months) = $19.575 = $19.58
I(for 6 months) = 900x(2.4/100)(6/12)
I(for 6 months) = $10.8
Difference = $19.58 - $10.8 = $8.78
(b)
From the table: the interest rate from 6 months to 9 months increases by 0.5% after that it increases constantly.
Thus, the $8.78 more interest is owed on $900 for 9 months than 6 months.
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What 685,203 rounded to the nearest ten , hundred , thousand, ten ten thousand and, hundred thousand
Answer:
685200 is ten and hundred 685000 thousand 690000 ten thousand 700000 hundred thousand
Please answer the question in the photo
Answer:
i got
Step-by-step explanation:
seventy-nine
Vote me for the president of America here’s why -I would be the first female president of u.s -I will Ban all pick me’s who whisper about you when you’re right in front of them and try’s to be better than you -Give all homeless animals good shelter -ban emos - less money for gas -overall better Vote me
Answer:
Lmafo
Step-by-step explanation:
Here is some information about a heating oil tank.
Top Outlet Tank
Height (h): 2550 mm
Diameter (d): 2100mm
Mass: 650kg
(b) Work out the volume, in cubic metres, of the tank.
The volume of the tank is 15315.35
What is volume?Volume is a measurement of three-dimensional space that is occupied. [1] Numerous imperial units or SI-derived units, such as the cubic meter and liter, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up.
Given that,
Top Outlet Tank
Height (h): 2550 mm
Diameter (d): 2100mm
radius (r) : 2.1/2
Mass: 650kg
The volume, in cubic metres, of the tank is
volume of tank = 2π + π[tex]r^{2} h[/tex]
= 2π(1100) + π(2.1/2)(2550)
= 2(3.14)1100+ (3.14)(2.1/2)(2550)
= 6908+ 8407.35
= 15315.35
Therefore, the volume of the tank is 15315.35
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Find the distance between each pair of points round to nearest tenth if needed
Answer: 10) √85 units 12) 4 units
Step-by-step explanation:
[tex]\boxed {l=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}}[/tex]
10) (8,5) (-1,3)
[tex]x_1=8\ \ \ \ x_2=-1\ \ \ \ y_1=5\ \ \ \ \ y_2=3\\\\l=\sqrt{(-1-8)^2+(3-5)^2} \\\\l=\sqrt{(-9)^2+(-2)^2} \\\\l=\sqrt{81+4}\\\\l=\sqrt{85}\ units[/tex]
12) (-6,-10) (-2,-10)
[tex]x_1=-6\ \ \ \ \ x_2=-2\ \ \ \ \ y_1=-10\ \ \ \ y_2=-10\\\\l=\sqrt{(-2-(-6)^2+(-10-(-10))^2} \\\\l=\sqrt{(-2+6)^2+(-10+10)^2}\\\\l=\sqrt{4^2+0^2} \\\\l=\sqrt{4^2} \\\\l=4\ units[/tex]
if i had 5 divided by 1 + 5 on evaluating expressions......what would the answer be?
Answer:
[tex]\frac{5}{1+5}[/tex]
Step-by-step explanation:
Hope this helps :))
Find the difference of the polynomials. Write the result in standard form.
(33r3s3-16rt7+72s5t2) - (24rt7 - 18s5+2 – 47r³s3)
A 8rt7+90s5t2 +80r3s3
B-40rt7 +54s5t2 -14r3s3
C 8rt7+54s5t2 -14r3s3
D-40rt7+90s5t2 +80r3s3
The difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The given expression is (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³). The difference will be calculated as follows:-
Difference = (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³).
Separate the like terms in the polynomial and solve accordingly.
Difference = (33r³s³+ 47r³s³-16rt⁷- 24rt⁷+72s⁵t²+ 18s⁵t² ).
Difference = 80r³s³- 40rt⁷+ 90s⁵t²
Therefore, the difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.
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Thanks for all the help
Answer:
x=4.4
Step-by-step explanation:
To get from 4 to 10 what happens?
Well, we multiply 4 by 2.5.
That should be the same for x.
Thus, 2.5x=11
x=4.4
a dog walks due east 180 feet at a corner after turning through an angle of 81.5 the dog walks 329 feet to the second corner. then the dog walked back to the starting point. what is the area of the triangle formed by his path
The area of the triangle formed by his path is mathematically given as
Area = 29284.886 ft^2
This is further explained below.
What is the area?Generally, the equation for the defining cosine rule is mathematically given as
[tex]b^2 = a^2 + c^2 - 2ac cos B[/tex]
where
b = side B of the triangle
a = side A of the triangle
c = side C of the triangle
Therefore
[tex]b^2 = 180^2 + 329^2 - 2(180 * 329)cos 81.5[/tex]
b^2 = 32400 + 108241 - 17506.55
b = 350.91 ft
We calculate the area of the triangle using heron's formula.
Area = [tex]\sqrt{(p(p - a)(p - b)(p - c))}[/tex]
b = side B of the triangle
a = side A of the triangle
c = side C of the triangle
p = path
Where
p = (a + b + c)/2
p= (180 + 350.91 + 329)/2
p= 429.955 ft
Area = [tex]\sqrt{(429.955(429.955 - 180)(429.955 - 350.91)(429.955 - 329)}[/tex]
Area = 29284.886 ft^2
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1. A percent is found by dividing the percentage by the base. True
or false
It is true but incomplete, a percent is found by dividing the percentage by the base and multiplying it with 100.
What is percentage?
Percentage is a relative value that represents hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Divide the percentage by the quantity to get the percent of a number, then multiply the result by 100. Put the word "percent" (%) after the finished item.
Example of calculation of percentage:
What percent of 10 is 7?
here, 7 is percentage and 10 is quantity, On dividing we get,
7/10 = 0.7
Now multiplying by 100, we get
70 %
This is the answer
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f(x)=x^2
g(x)=−x^2+7
h(x)=(x−6)2
p(x)=(x−2)2−9
q(x)=x^2+12
Answer:
Step-by-step explanation:
interval notation is (-∞,∞)
set-builder notation is {x|x ∈ R}