Two of the angles in a triangle measure 20° and 8°. What is the measure of the third angle?
The measure of the third angle in the triangle is 152°.
What is the value of the angle?It should be noted that a triangle has three sides and the sum of the total angles is 180°.
In this case, two of the angles in a triangle measure 20° and 8°. The third angle will be:
= 180° - (20° + 8°)
= 180° - 28°
= 152°
The angle is 152°.
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9. Raquel estimated 504,900,000,000 as 3 x 10^8. What error did she
make? Explain.
Answer:
5.049 x 10^11
She'd done the entire equation wrong
3 x 10^8 would be 300000000 when instead 10 should be to the power of 11 and 3 should be 5.049
Step-by-step explanation:
To rewrite something in scientific notation you have to group the numbers that aren't zero (5049) and convert it into a decimal (5.049)
(Decimals for scientific notations will ALWAYS have one number in the 1st digit, no matter what)
Then we see what we have to multiply our decimal to make it into our original number. We count the numbers in the decimal and the rest of our zeros (8+3=11)
5.049 x 10^11 = 504900000000
what is the equation of this line?
The equation of line is =1/2 x+1/2 .
What is equation of line?
A line equation is a straightforward mathematical formula that uses the slope, x-intercept, and y-intercept of the line to describe the relationship between the points on the line.
The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.
In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.
y=mx+b
According to graph, points are (-1,0) and (1,1)
Hence we get –m+b=0 and m+b=1
On solving m = ½ and b = ½
The equation of line is =1/2 x+1/2 .
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Between 10 P.M. and 7:45 A.M., the water level in a swimming pool decreased by
3/8 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
[tex]\frac{1}{12}[/tex] inch per hour
Hope this helps you!
Roxanne claims that all linear equations represent proportional relationships. Which statement explains whether Roxanne is correct?
A Yes, because all linear equations have graphs that are straight lines.
B No, because not all linear equations have graphs that pass through the origin.
C Yes, because all proportional relationships can be expressed as linear equations.
D No, because not all proportional relationships can be expressed as linear equations.
Yes, because all linear equations have graphs that are straight lines. This statement explains Roxanne is correct.
The first order of equations is linear equations. For lines in the coordinate system, linear equations are defined. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (one variable) in the equation.
There may be several variables in a linear equation. Linear equations with two variables, and so forth, are what the equation is known as if it has two variables. When the unknown values are replaced for those produced by the solutions of linear equations, the equation is proved to be true. There is just one answer when there is just one variable.
Hence the correct option is A
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A geometric sequence has a common ratio of 2 and the 12th term is −12,288.
What is the explicit rule that describes this sequence?
Answer:
Step-by-step explanation:
[tex]\boxed {b_n=b_1q^{n-1}}[/tex]
[tex]b_{12}=-12,288\ \ \ \ \ q=2\ \ \ \ n=12[/tex]
[tex]-12,288=b_1(2^{12-1})\\\\-12,288=b_1(2^{11})\\\\-12,288=b_1(2048)[/tex]
Divide both parts of the equation by 2048:
[tex]-0.006=b_1[/tex]
[tex]Thus,\ b_1=-0.006[/tex]
i need help on this please
Based on the numbers to be divided of 1,060 ÷ 33 to get a quotient, the mixed number in the simplest form is 32¹/₂ .
How to find the quotient?Finding the quotient of two numbers means that one of the numbers would have to divide the other number.
The quotient in this case is:
= 1,060 ÷ 33
= 32.1212
To convert this to mixed number, divide the decimal portion by the relevant power of 10:
= 32 + 1212/10,000
= 32 + 4/32
= 32 + 1/8
= 32¹/₂
In conclusion, the quotient of 1,060 ÷ 33 is 32¹/₂ .
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Find the value of x. I || m the diagram is not to scale
Answer:
32
Step-by-step explanation:
Since l and m are parallel, the value of 2x is equal to 64.
64/2 = 32
What amount of a 60% acid solution must be mixed with a 45% solution to produce 600 mL of a 50% solution?
Step-by-step explanation:
x = ml of the 60% solution
y = ml of the 45% solution
x + y = 600
and therefore
x = 600 - y
0.6x + 0.45y = 0.5×600
we use the above identity in this equation :
0.6(600 - y) + 0.45y = 300
360 - 0.6y + 0.45y = 300
60 - 0.15y = 0
60 = 0.15y
y = 400 ml
x = 600 - y = 600 - 400 = 200 ml
Loretta is paid in euros. She is checking her tax bill for last year. The tax rates last year were as follows: • No tax on the first €3500 of earnings • Earnings in excess of €3500 and up to €10 500: taxed at a rate of 25% • Earnings above €10 500: taxed at a rate of 35% Last year, Loretta’s total earnings before tax were €34 500. How much tax did Loretta pay in total? You must show all your working.
Loretta would not have paid any taxes last year because her total earnings were below the €8625 threshold.
What is Percentage ?
A Percentage is a figure or ratio that is stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
The total amount paid in tax from Cary's last year earning is £9640
Total earning last year = €34 500
Tax on earnings :
First €3500 = 0%
€3500 to €10 500 = 25%
Earnings above €10 500 = 35%
Therefore, tax paid on €34 500 :
Tax percentage × amount earned
First €10 500 earned = (25% × 10,500) = 2625
Excess above €10 500 = (34500 - 10500) = 24000
25% × 24000 = 6000
Therefore, the total tax amount = €(2625 + 6000) = €8625
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AOC and BOD are diameters of a circle, centre O,
Prove that triangle ABD and triangle DCA are congruent by RHS.
Answer:
ABC
Step-by-step explanation:
BECAUSE THEY ARE OPPOSITE
What are the domain and range of the function f(x) = 4(RootIndex 3 StartRoot 81 EndRoot) Superscript x?
{x| x is a real number}; {y| y > 0}
{x| x > 4}; {y| y > 0}
{x| x is a real number}; {y| y > 4}
{x| x > 4}; {y| y > 4}
The domain and range of this function f(x) = 4(∛8)ˣ are: A. {x| x is a real number}; {y| y > 0}.
What is a function?A function simply refers to a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.
In this scenario, the function f(x) = 4(∛8)ˣ represents an exponential function. Generally speaking, an exponential function is defined by the set of all real numbers on the x-axis.
Additionally, the value of four (4) is greater than zero (0) and as such the range defined by the set of all real numbers on the y-axis that are greater than zero (0).
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Answer:
A. {x| x is a real number}; {y| y > 0}
Step-by-step explanation:
on edge
Please help!! Do the ordered pairs represent a function?
For the given mapping diagram, we have that: C. Yes (one y-value for each x-value) it represent a function.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined and these include the following: {1, 2, 3, 4}.
In conclusion, we can reasonably infer and logically deduce that this mapping diagram represent a function because it has the different input values (x-values) for different output values (y-values).
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I need help pleaseeee
Answer:
a: -$4
b:45
Step-by-step explanation:
First, you just divide the total amount lost by the number of shares. because it is a loss it's going to be a negative number. For the second one, you want the total so you are going to multiply 45 by 9 and because it's an increase, the answer is a positive number.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Question \#1 reads \boxed{\downarrow}}[/tex]
[tex]\large\text{Ivanna owns \underline{6 shares} of a certain stock. Yesterday the total value of}\\\large\text{her shares went down by \underline{24 dollars}. \boxed{\text{What was the change in value}}}\\\large\text{\boxed{\text{for each share}} ?}[/tex]
[tex]\huge\textsf{What should the equation look like?}[/tex]
[tex]\mathsf{\dfrac{24}{6} = change\ in\ value\ for\ each \ share}}[/tex]
[tex]\huge\textsf{How are we going to solve for the answer?}[/tex]
[tex]\mathsf{\dfrac{24\ dollars}{6\ certain \ stock} = change\ in\ value\ for\ each \ share}}[/tex]
[tex]\mathsf{24\ dollars \ \div\ 6\ certain\ stock\ = change\ in\ value\ for\ each \ share}[/tex]
[tex]\mathsf{4 = change\ in\ value\ for\ each \ share}}[/tex]
[tex]\huge\textsf{So, what s the answer to the question?}[/tex]
[tex]\large\text{Therefore, your answer should be: \boxed{\mathsf{4\ dollars}}}\large\checkmark[/tex]
[tex]\huge\textsf{Question \#2 reads \boxed{\downarrow}}[/tex]
[tex]\large\text{A private club grew by \underline{9 members} each week for \underline{45 weeks}. \boxed{\text {What}}}\\\large\boxed{\text{was the total change in the clubs size}} \large\text{ ?}}[/tex]
[tex]\huge\textsf{What should the equation look like?}[/tex]
[tex]\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}[/tex]
[tex]\huge\textsf{How are we going to solve for the answer?}[/tex]
[tex]\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}[/tex]
[tex]\mathsf{45\ weeks\ \div \ 9\ members = total\ change\ in\ the\ clubs\ size}[/tex]
[tex]\mathsf{5 = total\ change\ in\ the\ clubs\ size}[/tex]
[tex]\huge\textsf{So, what s the answer to the question?}[/tex]
[tex]\large\text{Therefore, your answer should be: \boxed{\mathsf{5\ members}}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Mr. Mateo ordered several copies of a book that weighs Three-fifths of a pound each along with some other school supplies for his classroom. If the total weight of the box that contains the supplies was 10 pounds, what is the maximum number of copies of the book that Mr. Mateo could have ordered?
Find the area: A trapezoid with a top base length of 6 cm, a bottom base length of 12 cm, and a height of 5cm
Answer:
360
Step-by-step explanation:
multiple all together in an ascending orderSolve the following system of equations.
-4x+3y=23
5x-7y=-19
(See picture attached)
What do you think?
Which of these students do you think evaluated this expression correctly? Explain your reasoning!
Hannah is correct (48)
Rachel is correct (8)
Madison is correct (3)
Elizabeth is correct (26)
Elizabeth is correct in evaluating the expression.
All the students are evaluating the expression
48÷4×2+2
For evaluating such an expression the order of operations need to be used.
The order of operations are:
Parenthesis ExponentsDivision or Multiplication [whichever comes first in the equation]Addition or Subtraction [whichever comes first in the equation]So the expression 48÷4×2+2 is solved as:
48÷4×2+2
= 12 × 2 + 2
= 24 + 2
= 26
So 26 is the right answer and it is given by Elizabeth.
So Elizabeth is correct(26).
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if ( e, f) = (7,2) and (g,h) = (11,5), find the value of the following expression
h-f
__
g-e
Answer: (7,11)
Step-by-step explanation:
the weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. what is the sample variance? a. 6.92 b. 4.80 c. 1.96 d. 2.33 group of answer choices b
When the weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6, the sample variance is D. 2.33.
How to calculate the variance?It should be noted that in Mathematics, the variance simply means the average squared deviation of the mean.
From the information, the weights of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. Therefore, the sample variance will be illustrated thus:
N = number =7
Sum of the numbers = 28
Mean = 28 / 7 = 4
Sample variance will be:
= (4 - 4)² + (2 - 4)² + (5 -4)² + (4 - 4)² +(5 - 4)² +(2 -4)² + (6 - 5)²
= 14 / 6
= 2.33
Therefore, the variance is 2.33.
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find the domain of each function.
f(x)=1/(x-3)
The domain of the function f(x)=1/(x-3) will be all the real numbers except 3.
What is a domain?The domain of the function is defined as the set of all the possible values of the function. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given function is f(x)=1/(x-3). The domain of the function will be all the real numbers. But at x = 3 the value of the function does not exist.
Therefore, the domain of the function f(x)=1/(x-3) will be all the real numbers except 3.
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A square is cut into 4 identical triangles each triangle has an area of 1 square unit what is the side length of the square
The side length of the square is 2 units.
What is the area of a square?
The area of square is equal to the square of its side. Mathematically -
Area = (side)²
Given is a square which is cut into 4 identical triangles such that each triangle has an area of 1 square unit.
Assume that the side of the square is 'x' units. Then we can say that -
The area of square of side 'x' units = 4 x area of an individual triangle.
Mathematically -
x² = 4 x 1
x² = 4
x = √4
x = ±2
Area cannot be negative, then we can write -
x = 2 units
Therefore, the side length of the square is 2 units.
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(Please help will mark Brainliest)
The scale factor is ____. Write your answer as a whole number or simplified fraction (improper is fine, but otherwise it should be in simplest form). Use the “/” key to separate the numbers; for example: 5/4
Answer: 3/2
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that Y'X'=3 and YX=2, so the scale factor is 3/2.
someone please help me. Susan owns 70 shares of a certain stock. Yesterday the value of each share went up by 10 dollars. What was the total change in value of her shares?
Answer:
700 is your answer i am pretty sure. If not i am super sorry
Answer:
630
Step-by-step explanation:
If she owns 70 and each went up by 10 then 70*10=700
700-70=630
I am sure it is correct but if not,sory if it is wrong
11.2 in.
13.3 in.-
3.1 in.
Answer:
It is trapezium.
Step-by-step explanation:
1÷2×h[b1+b2]
if 20 is the mean of 18,23,x,22, and 20 find the value of x
Answer:
x = 17
Step-by-step explanation:
Mean of a set of data values = Sum of the data values ÷ number of data values
Here we have data:
18,23,x,22, and 20
Sum = 18 + 23 + x + 22 + 20 = 83 + x
Number of data points = 5
Mean = (83 + x) / 5 = 20 (given)
Multiplying both sides by 5 gives
83 + x = 20 x 5
83 + x = 100
Subtract 83 from both sides to give
x = 100 -83 = 17
x = 17
Answer:
x = 17Step-by-step explanation:
if 20 is the mean of 18,23,x,22, and 20 find the value of x
(18 + 23 + x + 22 + 20) : 5 = 20
18 + 23 + x + 22 + 20 = 20 * 5
83 + x = 100
x = 100 - 83
x = 17
------------------------
check
( 18 + 23 + 17 + 22 + 20) : 5 =
100 : 5 =
20
the answer is good
James buys a watch that was reduced by 15% in a sale.
At the counter he paid £221
How much did the watch cost originally?
Remember to include units in your answer.
Answer:
The original price of the watch was 260pounds
Step-by-step explanation:
let the reduced price be x
(100%-15%)/100 of x=221
85x/100=221
85x=22100
there fore x=260pounds
T=
S=
U=
V=
Someone please help me out
Answer:
T: (-10,1)
S: (-10,-4)
U: (-5,1)
V: (-5,-4)
Step-by-step explanation:
Translation means moving the object. Subtract 4 from each x value and add 1 to each y value.
Answer:
T' = (-10, 1)
S' = (-10, -4)
U' = (-5, 1)
V' = (-5, 4)
Step-by-step explanation:
To do this, we will take each coordinate point, subtract four units from the x-value, and add one unit to the y-value.
T = (-6, 0) ➜ (-6 - 4, 0 + 1) ➜ T' = (-10, 1)
S = (-6, -5) ➜ (-6 - 4, -5 + 1) ➜ S' = (-10, -4)
U = (-1, 0) ➜ (-1 - 4, 0 + 1) ➜ U' = (-5, 1)
V = (-1, -5) ➜ (-1 - 4, -5 + 1) ➜ V' = (-5, 4)
Drag each label to the correct location in the equation. Not all tiles will be used.
Complete the steps for converting 100 yards to meters.
(1 yard = 3 feet, 1 foot = 12 inch, 1 inch = 2.54 centimeter, 100 centimeter = 1 meter)
meter
12
inch
91.44
3
2.54
Each label should be dragged to the correct location in the equation as follows:
100 yards/1 × (3) feet/1 yards × (12) inch/1 foot × (2.54) cm/1 inch × 1 (meter)/100 cm = (91.44) meter
What is a conversion factor?A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.
Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.
Conversion:
1 yard = 0.9144 meter
100 yards = X meters
Cross-multiplying, we have:
X = 0.9144 × 100
X = 91.44 meters.
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Line a is parallel to line b. Which statement about lines a and b is true?
Answer:
Line a and line b have the same slope.