please help me with this problem
Solution
In a cyclic quadrilateral, opposite angles is supplementary.
=> 3x - 59 + 2x - 1 = 180
=> 5x - 60 = 180
=> 5x = 180 + 60
=> 5x = 240
=> x = 48
Angle A = 2(48) + 4 = 100
Also, A + C = 180
=> C = 180 - 100
=> C = 80
Can someone please explain this to me
Answer:
[tex]15u^{2}[/tex]
Step-by-step explanation:
let's say each square is = [tex]1u^{2}[/tex]
triangle A area: 2*5
[tex]\frac{2*5}{2}=5u^{2}[/tex]
----------------------------------
triangle B area: 2*2
[tex]\frac{2*2}{2}=2u^{2} \\Triangle A - B = 5 - 2= 3u^{2}[/tex]
----------------------------------
next figure
triangle C area 3*3
[tex]\frac{3/3}{2}=4.5u^{2}\\ -------------\\\\3u^{2}+4.5u^{2}=7.5u^{2}\\ -------------\\[/tex]
And since the other figure is a reflection *2
[tex]7.5u^{2}*2=15u^{2}[/tex]
Answer:
A = 15 units²
Step-by-step explanation:
the area (A) of the shaded triangle is calculated as
A = area of rectangle enclosing the triangle - area of white triangles on either side of shaded triangle and the one on top
area of rectangle = 10 × 5 = 50 units²
area of 2 congruent triangles = 2 × [tex]\frac{1}{2}[/tex] × 5 × 5 = 5 × 5 = 25 units²
area of top triangle = [tex]\frac{1}{2}[/tex] × 10 × 2 = 5× 2 = 10 units²
A = 50 - 25 - 10= 15 units²
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Answer the question in the photo.
Answer: 5/3
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 N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.
The population of the United States is approximately 3.28×108 people, and the population of Brazil is approximately 2.12×108 people. What is the difference between the populations of the United States and Brazil?
Answer:
[tex]1.16 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex](3.28 \times {10}^{8} ) - (2.12 \times {10}^{8} ) = 1.16 \times {10}^{8} [/tex]
Please help!!!!! I need an answer asap
Answer:
c
Step-by-step explanation:
I have finished all my math classes
Solve the inequality 8(3g-2) ≤12(2g+1)
[tex]24g - 16 \leqslant 24g + 12 \\ 24g - 24g \leqslant 12 + 16 \\ 0 \leqslant 28[/tex]
THAT IS WHERE THE INEQUALITY LEADS US THERE IS NO CERTAIN VALUE FOR g .
HOPE THIS HELPS
Ana runs 3/4 mile in 6 minutes. Fill in the missing values in the table. Using the table, find the constant of proportionality. Then write the equation to represent this relationship.
1. The constant of proportionality when Ana runs 3/4 mile in 6 minutes is 0.125.
2. The missing value in the table will be 7.5 miles and 8.75 miles.
What is constant of proportionality?It should be noted that the constant of proportionality simply illustrates the ratio of two given values that have a proportional relationship.
1. In this case, Ana runs 3/4 mile in 6 minutes. Therefore, the constant of proportionality will be:
y = kx
where y = distance
x = time
3/4 = 6x
0.75 = 6k
Divide
k = 0.75 / 6
k = 0.125
The constant of proportionality is 0.125.
2. The missing value in the table will be:
y = kx
when x = 60.
y = 60 × 0.125 = 7.5 miles.
y = kx
when x = 70
y = 70 × 0.125 =8.75 miles.
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an elliptical arch is constructed which is 6 feet wide at the base and 9 feet tall in the middle. find the height of the arch exactly 1 foot in from the base of the arch.
The height of the arch is about 6.71 feet when measured from its base at a distance of one foot.
This is further explained below.
What is an ellipse?Generally, An ellipse is a collection of points whose distances from a fixed point (focus) or fixed line (directrix) is constant and less than 1.
Depending on whether the transverse axis is horizontal or vertical, we may construct an equation for the ellipse. The main axis is located along the transverse axis. The ellipse may be represented using the following equations:
[tex]\begin{aligned}&\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1 \\&\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1\end{aligned}[/tex]
An elliptical arch is described as having a center height of 9 feet and a width of 6 feet. The precise height of the arch from the base has to be determined.
[tex]\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1[/tex]
The center (h, k) is where the graph is since we centered it at the origin (0,0). We only need to enter the numbers into the equation at this point.
[tex]\begin{aligned}\frac{(y-0)^2}{9^2}+\frac{(x-0)^2}{3^2} &=1 \\\frac{y^2}{81}+\frac{x^2}{9} &=1\end{aligned}[/tex]
Since we divided the arch in half, 0 [tex]\leq[/tex] 9 in this instance. All that is left to do is calculate the arch's height in feet from the base.
The height of 1 foot from each end of the arch must thus be determined. The locations of the arch's ends are x=-3 and x=3. Here, we have a choice between the two. We may choose x=3-1=2 for this. Therefore, all that is left to do is enter x=2 in our usual form and work out the value of y that results.
[tex]\frac{y^2}{81}+\frac{(2)^2}{9}=1[/tex]
y^2+36=81
y^2+36-36=81-36
y=3√5
Therefore, the height of the arch at 1ft from the base is 3 √5ft or approximately 6.71ft
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A certain Figure Q is enlarged to form Figure P. Are Figures Q and P congruent?
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Not \:\: Congruent [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
If a figure is enlarged, it will still be similar to the original figure, but it won't be congruent to the original figure, because, to be congruent the figures should be of equal size/ coincide each other perfectly, which isn't possible in this scenario.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
TABLE-TENNIS TABLES Target purchases TIGA table-tennis tables at a cost of $180 each. If the company's operating expenses are 16% of cost, and a net profit of 7% of cost is desired, find the selling price of one table-tennis table.
Answer:
The selling price of one table-tennis is $221.40
Step-by-step explanation:
Henry has $75 in his bank account. If he withdraws $75 from the account, how much money will be left in the account?
Answer:
$0
Step-by-step explanation:
Henry has $75 in his bank account. If he withdraws $75 from the account, how much money will be left in the account?
$75 beginning balance - $75 withdrawal = $0
if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the value of p(odd number)? explain.
if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, No , it does not change the value of p(odd number) .
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = number of odd digits / number of faces = 4/6=2/3
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is (because it is twice the others). The sum of probabilities must be 1.
x+x+x+x+x+2x=1
7x=1
x=1/7
P(odd number) = 3 * Prob(1) + Prob(3)
=3*1/7 +2/7 = 5/7
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MIRA 5(=2)-3(x-2) 5x=10-3x + 6 2x=4Mira and Vernon are simplifying the expression 5(x-2)-3(x-2). Who's process is correct, Mira, Vernon, or both?
Answer:
Mira is correct
Step-by-step explanation:
She did all the steps and Vernon skipped some so u dont rlly understand what he did u could lose points if it was an exam for example
A $100 sweatshirt is put on sale for 40% off. One week later, the sale price is marked up by 40%. Will the marked-up price of the sweatshirt be less than, greater than, or equal to the initial price of $100?
The new price after being marked up is less than initial price of $100.
The price of sweatshirt after discount = 100 - 40%×100
Converting percentage to fraction
The price of sweatshirt after discount = 100 - (40/100)×100
The price of sweatshirt after discount = 100 - 40
Performing subtraction
The price of sweatshirt after discount = $60
The marked up sale price = 60 + 40%×60
Converting percentage to fraction
The marked up sale price = 60 + (40/100)×60
Cancelling zero and performing multiplication
The marked up sale price = 60 + 24
Performing addition
The marked up sale price = $84
Thus, the marked up price after discount will be less than the initial price of $100.
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3(x+y)=y
If (x,y) is a solution to the question above and
Y= 0, what is the ratio x/y ?
A) -4/3
B) -2/3
C) 1/3
D) 2/3
The value of x / y in the given equation will be -2 / 3. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 3(x+y) = y, the value of x / y will be calculated as:-
3(x+y) = y
( x + y ) / y = 1 / 3
( x / y ) + 1 = 1 / 3
( x / y ) = ( 1 / 3 ) - 1
( x / y ) = -2 / 3
Therefore, the value of x / y in the given equation will be -2 / 3. The correct option is B.
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cual es el volumen de una pila que mide 100 cm de ancho por 110 de largo por 130 cm de alto
The volume of the pile based on the width, height, and length of the pile can be found to be 1.43 m³
How to find the volume?The volume of the pile can be found by the formula:
= Length x Width x Height
From the question, the dimensions of the pile are:
Length = 110 cm
Width = 100 cm
Height = 130 cm
The volume is:
= 110 x 100 x 130
= 1,430,000 cm³
Converted to meters gives:
= 1,430,000 / 1,000,000
= 1.43 m³
In conclusion, the volume in meters of the pile is 1.43 m³
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To pay for a home improvement project that totals $16,000, Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years or paying with a credit card that compounds monthly at an annual rate of 15% for 7 years. Which plan would give Genesis the lowest monthly payment?
well, let's first check with the Bank
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$16000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &3 \end{cases} \\\\\\ A=16000[1+(0.08)(3)] \implies A = 19840~\hfill \underset{monthly~payment}{\stackrel{19840~\div \stackrel{months}{36}}{\approx \text{\LARGE 551.11}}}[/tex]
now let's check with the Credit Card
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases}[/tex]
[tex]A=16000\left(1+\frac{0.15}{12}\right)^{12\cdot 7} \implies A \approx 45425.81~\hfill \underset{monthly~payment}{\stackrel{45425.81~\div \stackrel{months}{84}}{\approx\text{\LARGE 540.78}}}[/tex]
well, seems the Credit Card is the better deal monthly wise, though in the long run is a lot of dough.
A plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan would be $317.50.
What is simple interest?Mathematically, the simple interest earned can be calculated by using this formula:
A = P(1 + rt)
Where: A represents the future value.
P represents the principal or original value.
r represents the interest rate.
t represents the time.
Now Substituting the given parameters into the formula, we have,
A = 9000[1 + (0.09 × 3)]
A = 9000[1 + 0.27]
A = 9000 × 1.27
Future value, A = $11,430.
Next, we will calculate the monthly payment over a period of 36 months as follows:
Monthly payment = Future value/Time
Monthly payment = 11,430/36
Monthly payment = $317.50.
Similarly, we will calculate the compound interest earned on the credit card :
A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾
A = 9000[1 + 0.015]⁸⁴
A = 9000 × 1.015⁸⁴
A = 9000 × 3.49258954
Future value, A = $31,433.31.
Next, we will calculate the monthly payment over a period of 84 months as follows;
Monthly payment = Future value/Time
Monthly payment = 31,433.31/84
Monthly payment = $372.21.
In this context, A plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan would be $317.50.
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What is the slope of the line?
Answer:
Step-by-step explanation:
Slope= rise/run or y2-y1/x2-x1
the two points are (4,-4) and (1,4)
so, it is (( -4) - 4) /(4-1)= -8/3
slope = -8/3
Find a point-slope form for the line with slope = 1/5 and passing through the point
(- 2, -3).
The equation of the line in point-slope form is…
Answer:
y+3= 1/5 (x+2)
Step-by-step explanation:
The point slope form looks like this.
y - y1 = m (x - x1)
the m represent slope and (x1, y1) are the coordinates of the point that the line passes through.
Jordon is calculating the slope of the trend in the scatter plot below. How can Jordon use the plot to check the reasonableness of his answer
Answer: His slope should be positive because the trend line is slanted up to the right.
Step-by-step explanation:
This answer is correct because the third line is slanted up to the right, so it makes it positive.
What is the special angle pair relationship between ∠1 and ∠3?
Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 3 are corresponding angles
each is in the same position ( the upper left hand corner) in its group of 4 angles.
kareem needs to make a total of 40 deliveries this week. so far hes completed 28 of them. what percentage of deliveries has he completed?
thank youuuu
If Kareem has completed 28 out of the 40 deliveries he needs to fulfill this week, then he has completed 70 percentage of his total deliveries.
As per the question statement, Kareem needs to make a total of 40 deliveries this week, and he has completed 28 thus far.
We are required to calculate the percentage of deliveries, Kareem has completed so far.
To solve this question, we simply need to divide the number of deliveries completed so far, by the total number of deliveries Kareem needs to fulfill in the week, and then multiply the quotient with 100, to obtain our desired answer.
Here, number of deliveries completed so far by Kareem = 28,
And, total number of deliveries Kareem needs to fulfill = 40.
Therefore, percentage of deliveries, Kareem has completed so far
= [(28/40) * 100]
= [(7/10) * 100]
= (7 * 10)
= 70%.
Percentage: In Mathematics, percentage is the number or ratio, being expressed as a fraction of 100 and often denoted using the percent sign, "%".To learn more about Percentage, click on the link below.
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a rope 18M and 50Cm is to be divided into four equal parts. how long will each part be? give your answer in metres and centimetres
Answer:
4 m and 62.5 cm
Step-by-step explanation:
1 meter = 100 cm
So 18m and 50 cm = 18 x 100 + 50 cm = 1850 cm
If it is going to be divided into 4 equal parts, each part = 1850/4 = 462.5 cm
462.5 cm = 462.5/ 100 = 4 m and 0.625 m
0.625m = 0.625 x 100 = 62.5 cm
So each piece is 4 m and 62.5 cm
What is the value of 2^4 + 9x + 2 when x= 2?
The value of 2⁴ + 9x + 2 when x = 2 is 36.
What is an Algebraic Expression?An algebraic expression in mathematics is one that contains variables, constants, and algebraic operations (addition, subtraction, etc.). Terms comprise expressions. These expressions use unknown coefficients, constants, and variables. These three terms combined are referred to as an expression.It should be noted that an algebraic expression lacks sides and the equal sign, in contrast to an algebraic equation.You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.Given:
Algebraic expression is 2⁴ + 9x + 2
Where x = 2
So substituting the value of x to find the result of the expression,
2⁴ + 9x + 2 = 16 + 9×2 + 2 = 16 + 18 + 2 = 36
Hence the value of the expression is 36.
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I don’t under what it is trying to say
Answer:
-2
Step-by-step explanation:
It’s asking you to solve the expression with the values given. After doing that, it’s asking you to simplify the result.
Expression - Does not have an equal sign, only the operation (multiplication, division, addition, subtraction).
Classify the equation 4x+2=4x+2 as having one solution,no solution or infinite many solutions.
Answer:
Infinite many solutions
Step-by-step explanation:
4x + 2 = 4x + 2
-4x -4x
----------------------
2 = 2
or
4x + 2 = 4x + 2
-2 -2
-----------------------
4x = 4x
Infinite many solutions
I hope this helps!
Type the next number in the list
3, 12, 60, 240, 1200 what’s the next number
In the given number series 3, 12, 60, 240, 1200, the next number is 4800.
How to find the next number?
3, 12, 60, 240, 1200
Solution:
In the given sequence,
3, 12, 60, 240, 1200
Each intermittent number is multiplied by 4 and the number next to it by 5.
3*4 = 12
12*5 = 60
60*4 = 240
240*5 = 1200
1200*4 = 4800
Therefore, the next number is 4800.
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Find the distance between the points (9,-6) and (-3,-9).
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~-3 - 9~~)^2 + (~~-9 - (-6)~~)^2} \implies d=\sqrt{(-3 -9)^2 + (-9 +6)^2} \\\\\\ d=\sqrt{( -12 )^2 + ( -3 )^2} \implies d=\sqrt{ 144 + 9 } \implies d=\sqrt{ 153 }\implies \boxed{d\approx 12.37}[/tex]
hat is the complement of an
angle?
8)
What is the supplement of a 92° angle?
9)
What is the complement of a 56° angle?
For # 10-12, use the diagram to the right.
10) m/2=
88• degres
34⁰ degrees
Answer:
9. 178
Step-by-step explanation:
To find the complement subtract from 90
because complementary means sum of the angles is 90 degrees.
To find supplement, subtract from 180
because supplementary means sum of the angles is 180 degrees.
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Write the set of coordinates for a reflection of the figure over the x-
axis.
(-1, 3) (-3, 1) (-5, 1) (-4, 6)
Check the picture below.