xyz with vertices x(1,5) and z(1,1) has an area of 10 units2. what are the coordinates of the third vertex
Answer:
Explanation:
Given the following vertices:
x(1, 5) and y(1, 1)
Suppose the area for thes is 10 units, with the third vertice (a, b) unknown, we have the area of a triangles as:
[tex]undefined[/tex]8. For which of the following sets of ordered pairs will the slope between the two points be -3 ? A. (2,4) and (3.8) B. (4,1) and (4.6) C. (1.3) and (-5, -5) D. (1,0) and (0,3)
D. (1,0) and (0,3)
find the cost of each.Gwen Chester has $41.70 in her piggybank. She has one more than threetimes as many dimes as she has nick-els, and she has five times as manyquarters as nickels. How many ofeach coin does she have?
Given that
10 dimes = 1 dollar, this is also known as 10 cents.
4 quarters = 1 dollar, this is also known as 25 cents
20 nickels = 1 dollar, this is also known as 5 cents
Let d represent dime
Let q represent quarter
Let n represent nickel
From the first statement,
[tex]d=3n+1[/tex]From the second statement,
[tex]q=5n[/tex]The total of the coins will be,
[tex]d+q+n=\text{ \$41.70}[/tex]Also,
[tex]0.1d+0.25q+0.05n=41.70[/tex]From the first two equations above,
[tex]\begin{gathered} 0.1(3n+1)+0.25(5n)+0.05n=41.70 \\ 0.3n+0.1+1.25n+0.05n=41.70 \\ 0.3n+1.25n+0.05n=41.70-0.1 \\ 1.6n=41.60 \\ \frac{1.6n}{1.6}=\frac{41.60}{1.6} \\ n=26 \\ \therefore n=\text{26} \end{gathered}[/tex]Let us now get the quantities of the remaining coins
[tex]\begin{gathered} d=(3n+1)=(3(26)+1)=(78+1)=79 \\ \therefore d=79 \end{gathered}[/tex][tex]\begin{gathered} q=5n=5(26)=130 \\ \therefore q=130 \end{gathered}[/tex]Hence, the numbers of each coins are
[tex]\begin{gathered} d=79=0.1(79)=\text{ \$7.9} \\ q=130=0.25(130)=\text{ \$32.5}0 \\ n=26=0.05(26)=\text{ \$1.30} \end{gathered}[/tex]The ratio of measurement of 1 : 2 : 3 is 4 : 9 : 5. Of the three angles, find the measurements of the largest.
Given:
The ratio of the three angles is 4:9:5.
To find the largest angle:
Let the first, second, and third angles be,
[tex]\begin{gathered} \angle1=4x \\ \angle2=9x \\ \angle3=5x \end{gathered}[/tex]Using the angle sum property of a triangle we get,
[tex]\begin{gathered} \angle1+\angle2+\angle3=180 \\ 4x+9x+5x=180 \\ 18x=180 \\ x=10 \end{gathered}[/tex]So, the largest angle is,
[tex]\begin{gathered} 9x=9\times10 \\ =90 \end{gathered}[/tex]Hence, the measurement of the largest angle is 90 degrees.
What do ALL these quadrilaterals have in common?
Answer:
Explanation:
prepedicualr sides look
There are 9 boys and 12 girls in the drama club. Which is the ratio of boys to girls?
boys: 9
Girls: 12
Ratio boys to girls :
9:12 = 3/4
Would we use ">" or "<" to replace the in 5.1489 ? 5.2019. Write only the symbol that is true.
5.1489 is less than 5.2019
Therefore, the symbol between the two decimals would be less than symbol.
That is,
[tex]5.1489<5.2019[/tex]The symbol that would replace ? is <
Factor completely; simplify if possible.
t² + 12t + 36 =
Hi guys I need your help :)
Answer:
I'm pretty sure its already simplified because it's t2 t and number
whitch object has the mass of about one gram
During an experiment, the current in a circuit was measured 8 times and recorded as shown below. Calculate the standard deviation of the current to two decimal places.
Standard Deviation for given set of data is 0.25634797778466.
What is standard deviation?
Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the squared average of the squared deviations from the mean, it represents the square root of the variance.For instance: To determine the standard deviation, sum all of the numbers inside this data set, divide by the total number of numbers, and the result is the standard deviation.Given that,
Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1
Count, N: 8
Sum, submission x: 97.6
Mean, x: 12.2
Variance, s2: 0.065714285714286
s^2 = Σ(xi - x)^2/N - 1
= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1
= 0.46/7
= 0.065714285714286
s = √0.065714285714286
= 0.25634797778466
Standard Deviation for given set of data is 0.25634797778466.
To learn more about Standard Deviation visit:
https://brainly.com/question/26941429
#SPJ1
Neve has 12 full boxes of jars of slime and 7 loose jars of slime. If Neve has a total of 187 jars of slime, which equation can be used to find the number of jars in each box?
Answer:
15 jars in each box
Step-by-step explanation:
linear equation:
12*N + 7
Now we know that Neve has 187 jars in total, then we can write:
12*N + 7 = 187
We want to find the value of N, which is the number of jars in each box, so we need to solve the linear equation:
12*N + 7 = 187
12*N = 187 - 7
12*N = 180
N = 180/12 = 15
Write the numbers that will fill in the eighth row of Pascal’s triangle.
To answer this question, we're going to use some important properties of the Pascal's triangle.
1) If we number the rows starting at zero, then the kth row has k + 1 elements.
2) If we number the elements on the kth row starting with zero, then the mth element of row k is given by
[tex]\begin{pmatrix}{k} \\ {m}\end{pmatrix}=\frac{k!}{m!(k-m)!}[/tex]Using those two properties, we can answer our question.
We want to know the numbers that will fill in the eighth row, this means our k = 8.
From the first property, we know that we have 9 elements on this row, and they are given by
[tex]\begin{pmatrix}{8} \\ {m}\end{pmatrix}=\frac{8!}{m!(8-m)!},m=0,1,2,\ldots,8[/tex]Plugging each m value on this equation, we have
[tex]\begin{gathered} \begin{pmatrix}{8} \\ {0}\end{pmatrix}=\frac{8!}{0!(8-0)!}=\frac{8!}{8!}=1 \\ \begin{pmatrix}{8} \\ {1}\end{pmatrix}=\frac{8!}{1!(8-1)!}=\frac{8!}{7!}=8 \\ \begin{pmatrix}{8} \\ {2}\end{pmatrix}=\frac{8!}{2!(8-2)!}=\frac{8\cdot7}{2}=28 \\ \begin{pmatrix}{8} \\ {3}\end{pmatrix}=56 \\ \begin{pmatrix}{8} \\ {4}\end{pmatrix}=70 \\ \begin{pmatrix}{8} \\ {5}\end{pmatrix}=56 \\ \begin{pmatrix}{8} \\ {6}\end{pmatrix}=28 \\ \begin{pmatrix}{8} \\ {7}\end{pmatrix}=8 \\ \begin{pmatrix}{8} \\ {8}\end{pmatrix}=1 \end{gathered}[/tex]And those are the values on the eighth row.
10 divided by 98 long division please
Answer:
Step-by-step explanation:
0 0
____________
9 8 | 1 0
- 0
______
1 0
- 0
______
1 0
2y + 2x = 14 solve for y
Answer:
y = -x + 7
Step-by-step explanation:
Answer:
y = 7 - x
Step-by-step explanation:
move all the terms to the right side of the equation then solve for the variable y
hope this helped
have a good day ^^
8. Marcy is a real estate agent. She sold a house for $356,700. Her commission from that sale was $12,484.50. What is her commission rate?
Marcy is a real estate agent. She sold a house for $356,700. Her commission from that sale was $12,484.50. What is her commission rate?
we have that
$356,700 represent 100%
so
applying proportion
Find out how much percentage represent $12,484.50
100/356,700=x/12,484.50
solve for x
x=(100/356,700)*12,484.50
x=3.5%
therefore
the answer is 3.5%Which function is nonlinear? х y -7 -2 -6 2 4 -3 O {(1, 1). (4.2). (9. 3). (16,4)} у 5 0 4 1 3 3 1 O {(-2.-10). (0.4). (2.2), (4.8)}
In order to find the nonlinear function we are going to graph each one:
The dimensions and number of animals are given for different corrals
Suppose that the corrals are rectangular in shape. The formula of the area of a rectangle is
[tex]\begin{gathered} A=lw \\ l\to\text{ length} \\ w\to\text{ width} \end{gathered}[/tex]Therefore, the areas of the four different corrals are
[tex]\begin{gathered} A_1=50\cdot40=2000 \\ A_2=60\cdot35=2100 \\ A_3=55\cdot45=2475 \\ A_4=65\cdot40=2600 \end{gathered}[/tex]Then, divide each area by its corresponding population,
[tex]\begin{gathered} \frac{A_1}{110}=18.1818\ldots<20 \\ \frac{A_2}{115}=18.2608\ldots<20 \\ \frac{A_3}{125}=19.8<20 \\ \frac{A_4}{110}=20=20 \end{gathered}[/tex]Therefore, the only corral that meets the requirement is corral 4, the answer is option D.
13/10÷2/10 please help me solve this i need explanation.
When we are doing divisions with fractions, the best thing to do is also write the division as a fraction like this:
[tex]\begin{gathered} \frac{13}{10}\frac{\cdot}{\cdot}\frac{2}{10} \\ \Rightarrow\frac{\frac{13}{10}}{\frac{2}{10}} \end{gathered}[/tex]Now, we multiply 13x2 and put it in the numerator, and 10x2 in the denominator:
[tex]\frac{\frac{13}{10}}{\frac{2}{10}}=\frac{13\cdot10}{2\cdot10}[/tex]Then we solve and simplify if needed:
[tex]\frac{13\cdot10}{2\cdot10}=\frac{130}{20}=\frac{13}{2}[/tex]therefore, the answer is 13/2
(-1,0), (1,6) Find slope intercept form if the y-intercept is (0,3)
We have two points that will help us to find the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where
(-1,0)=(x1,y1)
(1,6)=(x2,y2)
then we substitute the values
[tex]m=\frac{6-0}{1+1}=\frac{6}{2}=3[/tex]If the y intercept is (0,3)
the slope-intercept form is
[tex]y=mx+b[/tex]where
m=slope=3
b=y-intercept= 3
[tex]y=3x+3[/tex]
what is 6 feet 4 inches in decimal form
Answer:
6.333
Step-by-step explanation:
A triangle has base 2 3/8 feet and height 2 1/4 feet. Find the area of the triangle as a mixed number.
Area of a triangle is given by the formula;
[tex]A=\frac{1}{2}\times b\times h[/tex]where A is the area of triangle
b is the base and h is the height.
From the question given:
b= 2 3/8 = 19/8
h= 2 1/4 =9/4
Substitute the values into the formula and evaluate.
[tex]A=\frac{1}{2}\times\frac{19}{8}\times\frac{9}{4}[/tex][tex]=\frac{171}{64}[/tex][tex]=2\frac{43}{64}\text{ square f}eet\text{ }[/tex]A scientist has discovered a new strain of bacteria. The bacteria grows exponentially at a rate of 68% each hour as shown in the table below. Identify the equation used to calculate the growth, and estimate the population of the bacteria when the time has reached 10 hours
SOLUTION:
Step 1:
In this question, we are given the following:
A scientist has discovered a new strain of bacteria.
The bacteria grows exponentially at a rate of 68% each hour as shown in the table below.
Identify the equation used to calculate the growth, and estimate the population of the bacteria when the time has reached 10 hours.
Step 2:
The details of the solution are as follows:
Since the bacteria grows exponentially at a rate of 68% each hour, and the initial population is 1. 2 billiion.
This means that:
[tex]f(x)\text{ = 1. 2 \lparen 1 + }\frac{68}{100})\text{ }^x[/tex][tex]\begin{gathered} f(x)\text{ = 1. 2 \lparen1 + 0. 68 \rparen}^x \\ This\text{ gives us:} \\ f(x)\text{ = 1. 2 \lparen1. 68 \rparen}^x \end{gathered}[/tex][tex]\begin{gathered} \text{when x = 10 hours, we have that:} \\ f(x)\text{ = 1. 2 \lparen1.68\rparen}^{10\text{ }}=\text{ 214.9186299 }\approx\text{ 214. 92 billion} \\ \end{gathered}[/tex]CONCLUSION:
The final answer is:
[tex]f(x)\text{ = 1. 2 \lparen1.68 \rparen}^{x\text{ }};\text{ 214. 92 billion \lparen OPTION D \rparen}[/tex]
Select the correct answer.
The tables show the subscription costs for two magazines. What is the ratio of the cost of Magazine A to the cost of Magazine B?
Magazine A
Duration of Subscription
12 months 36
24 months 72
36 months 108
Magazine B
Duration of Subscription Subscription Cost
(dollars)
12 months 32
24 months 64
36 months 96
A.9:4
B.9:7
C.9:8
D.9:5
We can conclude that the ratio of the cost of magazine A to the cost of magazine B is (C) 9:8.
What is the ratio?A ratio depicts the quantity of one thing in relation to another. Ordinarily, ratios are expressed in the format a:b. If you're making orange squash, the ratio of orange to water will be one part orange to four parts water (1:4). It matters in what order a ratio is stated.So, the ratio of the cost of magazine A: the cost of magazine B:
Magazine A
3672108Magazine B
326496Then, magazine A:Magazine B -
36:32 = 36/32 = 9/8 = 9:872:64 = 72/64 = 9/8 = 9:8108:96 = 108/96 = 9/8 = 9:8Therefore, we can conclude that the ratio of the cost of magazine A to the cost of magazine B is (C) 9:8.
Know more about ratios here:
https://brainly.com/question/25927869
#SPJ9
Which proportion describes the relationship between corresponding sides of the triangles?
Answer: C. WX/RS = 3/6
Explanation:
In the triangle WXY the vertical side is WX, and the horizontal side is XY.
In the triangle RST the vertical side is RS, and the horizontal side is ST.
Since both triangles are similar, this means that their angles have the same measurements, and that there is a propotion or relationship between their sides.
The corresponding sides in this triangle are the following:
WX is a corresponding side with RS
XY is a corresponding side with ST
WY is a corresponding side with RT
Out of the options that we have, the only one that relates two corresponding sides is:
[tex]C\mathrm{}\frac{WX}{RS}=\frac{3}{6}[/tex]This is because as we pointed out, WX ans RS are correponding sides.
Also from the image we see that WX = 3 and RS = 6 wich is correctly placed in option C. Thus C represents the proportion between the two corresponding sides.
Answer: C. WX/RS = 3/6
what is circle in mathematics
Sintaye, this is the answer to your question:
Circle is a shape made by drawing a curve that is always the same distance from a center.
1/4 + 3/16
What’s the answer
Answer:
[tex] \frac{7}{16} [/tex]
Step-by-step explanation:
1/4 is equal to 4/16
4/16 + 3/16 = 7/16
Answer:
[tex]\frac{7}{16}[/tex]
Step-by-step
1/4 + 3/16
16+4 ·/4·3
16 + 12/ 4 · 6
28/4· 16
= 7/16
6.) An artist was carving a sculpture for a
client. It took 12.5 hours to complete the
task. A second artist will take 2.9 times
longer to complete the task. How much
time would the second artist take?
0
Answer:
12.5 X 2.9
Decimal place is
1dp
answer = 362.5
Carla had an eight-sided die numbered 1 to 8. Find each probability for the number she
rolled.
17. P(3)
19. P(9)
18. P(odd number)
20. P(number greater than 2)
plo and 3 orange popsicle sticks in a container. Without looking
The most appropriate choice for probability will be given by -
P(3) = [tex]\frac{1}{8}[/tex]
P(9) = 0
P(odd number) = [tex]\frac{1}{2}[/tex]
P(number greater than 2) = [tex]\frac{3}{4}[/tex]
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
For P(3)
Number of favourable outcomes = 1
Total number of outcomes = 8
P(3) = [tex]\frac{1}{8}[/tex]
For P(9)
Number of favourable outcomes = 0
P(9) = 0
For P(odd number)
Favourable outcomes = {1, 3, 5, 7}
Number of favourable outcomes = 4
P(odd number) = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
For P(Number greater than 2)
Favourable outcomes = {3, 4, 5, 6, 7, 8}
Number of favourable outcomes = 6
P(number greater than 2) = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
To learn more about probability, refer to the link -
https://brainly.com/question/24756209
#SPJ9
Write an equation in slope-intercept form of the line that contains the points in the table.
Step 1. We are given a table of (x, y) values and we need to select the option that represents the slope calculation.
First, we remember the formula to calculate the slope:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x1, y1) and (x2, y2) are two points or sets of values given for the line.
Step 2. In the numerator of the slope formula, we have a subtraction between y-values.
In the table, the y-values are:
Therefore, in the numerator of the calculation, we must have a subtraction between two of these numbers. This discards options A, and B.
Step 3. In options C and D we have this:
[tex]C.\frac{9-(-3)}{1-(-2)}[/tex][tex]D.\frac{-3-11}{-2-4}[/tex]In option C, there is a correct subtraction of 9 and -3, but in option D, the correct subtraction would be -3-(-11). Therefore option D is also discarded and the correct answer is C.
Answer: C
Find the equation (in terms of xx ) of the line through the points (-4,1) and (3,-2)
First, find the slope of the line that passes through the given points using the slope formula:
[tex]m=\frac{\Delta y}{\Delta x}[/tex]Next, substitute the value of the slope and the coordinates of one of the given points into the slope-intercept form of the equation of a line to find the y-intercept b:
[tex]y=mx+b[/tex]Compute the value of the slope:
[tex]\begin{gathered} m=\frac{(-2)-(1)}{(3)-(-4)} \\ =\frac{-2-1}{3+4} \\ =\frac{-3}{7} \\ =-\frac{3}{7} \end{gathered}[/tex]Replace m=-3/7, x=-4 and y=1 into the slope-intercept form of the equation of a line:
[tex]\begin{gathered} \Rightarrow1=-\frac{3}{7}(-4)+b \\ \Rightarrow1=\frac{12}{7}+b \\ \Rightarrow1-\frac{12}{7}=b \\ \Rightarrow-\frac{5}{7}=b \\ \therefore b=-\frac{5}{7} \end{gathered}[/tex]Replace m=-3/7 and b=-5/7 to get the equation of the line through the points (-4,1) and (3,-2):
[tex]y=-\frac{3}{7}x-\frac{5}{7}[/tex]Therefore, the answer is:
[tex]y=-\frac{3}{7}x-\frac{5}{7}[/tex]
