The yellow and orange triangle is AA
It is AA because the orange triangle has two angles listed and, the yellow triangle has two angle listed.
Answer:
AA
Step-by-step explanation:
For the 2 triangles to be similar we require 2 corresponding angles to be congruent.
There are 2 angles of measure 30°
If we consider the yellow triangle the the third angle is
180° - ( 41 + 30)° = 180° - 71 = 109°
The 2 triangles have therefore 2 corresponding congruent angles
Hence the triangles are similar by the postulate AA
How can bargain-shopping help spending?
It is still spending, but you buy twice as much.
It is meant to spend all you want.
It is shopping around for the best prices and saves money.
It is false advertising, because the stores never have the items.
Answer: It is shopping around for the best prices and saves money.
Step-by-step explanation: Bargain has the word "gain" in it. That's the best way I would look at it. Therefor I would cross out any other option that has to do with no benefit or the loss of something. Because we you bargain, you're getting multiple of something for a good price or maybe getting something that's on sale for a good price. For example: Buy 1 get 1 free items.
Jenna used the recipe shown below to make punch for a party orange juice 4 cups pineapple 4 cups red tropical 8 cups ginger ale 16 cups if jenna made half a recipe of punch how many quarts of fruit punch did she make
Answer:
4 quarts
Step-by-step explanation:
9.6, –4.8, 2.4, –1.2, 0.6, ...
f(n + 1) = –0.5f(n)
f(n + 1) = 0.5f(n)
f(n + 1) = f(0.5n)
f(n + 1) = f(–0.5n)
Answer:
a
Step-by-step explanation:
Craig stops at a gas station to fill his tank. He must choose between full-service and self-service and between regular, mid grade and premium gasoline. How many possible combinations are there?
Answer:
6
Step-by-step explanation:
There are 2 service choices and 3 grade choices for each, a total of 2×3 = 6 choices.
What is the measure of ∠PQR ? Enter your answer in the box. ° A triangle with one angle measuring 80 degrees and one angle measuring 70 degrees.
Answer:
∠PQR=30°
Step-by-step explanation:
I assuming that the measure of angle PQR is the third internal angle of the triangle
Remember that
The sum of the internal angles of a triangle must be equal to 180 degrees
80°+70°+∠PQR=180°
150°+∠PQR=180°
∠PQR=180°-150°
∠PQR=30°
Answer:
The answer is 30 degrees
Step-by-step explanation:
(80+70) - 180 = 30
because all the angles should add up to 180 degrees so to double check your answer you do 30+70+80=180
Use the change of variables s=x+3y, t=y to find the area of the ellipse x2+6xy+10y2≤1.
The change in variables s=x+3y, t=y to find the area of the ellipse x²+6xy+10y²≤1 yields; s² +t²≤ 1.
Substitution of variablesIt follows from the equations given that;
s = x +3y, x = s -3yt = yHence, it follows from substitution that;
(s-3t)² +6(s-3t)t +10t² ≤ 1s² -6st +9t² +6st-18t² +10t² ≤ 1s²+t² ≤ 1Read more on substitution;
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By applying a change of variables to the ellipse equation x2+6xy+10y2≤1, this simplifies to the standard ellipse equation from which the area, π*sqrt(10), can be determined using the standard formula for the area of an ellipse.
Explanation:To find the area of the ellipse defined by the equation x2+6xy+10y2≤1, we can begin by using the provided change of variables, s = x + 3y and t = y. This transformation simplifies the equation of the ellipse to: (s^2) / 10 + (t^2) ≤ 1.
Now the expression looks like the standard equation of an ellipse, where 'a' (the radius on the x-axis) is sqrt(10) and 'b' (the radius on the y-axis) is 1. The area 'A' of an ellipse is given by 'A=πab'. Substituting 'a' and 'b' into the formula gives us 'A = π*sqrt(10)*1 = π*sqrt(10)'
This indicates that the area of the ellipse with the change of variables s=x+3y, t=y for the equation x2+6xy+10y2≤1 is π*sqrt(10).
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A life scientist worksheet has the names of 36 animals of these 18 fed on seeds 15 feed on insects and 6 feed on both seed and insects a student randomly selects one animal for a study What is the probability that the chosen animal feeds on seeds or insects or both
Answer:
11/12
Step-by-step explanation:
18/36 + 15/36= 33/36 = 11/12
The probability that the chosen animal feeds on seeds or insects or both is:
[tex]\dfrac{3}{4}[/tex]
Step-by-step explanation:Let A denote the event that the animal feed on seeds.
B denote the event that the animal feed on insects
and A∩B denote the event that the animal feed on both seed and insects.
and A∪B denote the event that the animal feeds on seeds or insects or both.
Let P denote the probability of an event.
Now, based on the information from the question we have:
[tex]P(A)=\dfrac{18}{36}\\\\P(B)=\dfrac{15}{36}\\\\P(A\bigcap B)=\dfrac{6}{36}[/tex]
Now, we know that:
[tex]P(A\bigcup B)=P(A)+P(B)-P(A\bigcap B)[/tex]
Hence, on putting the values we have:
[tex]P(A\bigcup B)=\dfrac{18}{36}+\dfrac{15}{36}-\dfrac{6}{36}\\\\\\P(A\bigcup B)=\dfrac{18+15-6}{36}\\\\\\P(A\bigcup B)=\dfrac{27}{36}=\dfrac{3}{4}[/tex]
Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld?
federal tax of $56
Social Security tax that is 6.2% of his gross pay
Medicare tax that is 1.45% of his gross pay
state tax that is 19% of his federal tax
a.
$73.04
b.
$129.04
c.
$235.51
d.
$273.38
Answer:
$129.04
Step-by-step explanation:
Gross pay: $815.70
The following will be deducted as
(0.062 · $815.70 + 0.0145 · $815.70 + 0.19 · $56 + $56, or:
$50.57 + 11. 83 + $10.64 + $56, or
$129.04
His pay will be reduced by $129.04.
Next time, please share ALL of the possible answer choices. Thx.
The amount that Chuck's gross pay will reduce by as a result of the items withheld is d. 273.38
The items withheld from Chuck's pay are:
= Federal tax + Social security tax + Medicare tax + State tax
Solving gives:
= 56 + (6.2% x 815.70) + (1.45% x 815.70) + (19% x 815.70)
= 56 + 50.57 + 11.83 + 154.98
= $273.38
In conclusion, the total reduction will be $273.38
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PLEASE ANSWER
A farmer is trying to determine the number of plantain plants in a farm that covers 24 acres. He marks off three acre plots at randomly selected locations in the farm. The first plot contains 291 plants, the second plot contains 327 plants, and the third plot contains 286 plants.
Part A: Using this data, determine which of the following quantities represent an estimate of the number of plantain plants in the entire farm.
A 151
B 301
C 3,616
D 7,232
Part B: Suppose that a plantain plant bears a single bunch on a single stem. An average bunch will have 8 hands of 15 plantains. The farmer determines that around 85% of the total acreage is ready to harvest and sell. If the value at farm level is around $140.00 per thousand of fruits units for plantain, determine the total value at farm level for this farmer after harvesting and selling all the plantains in his farm.
The total value is ____________.
Answer:
C
Step-by-step explanation:
Answer:
option c is the answer
hope it helps
and ur welcm
1) Which method is most efficient method to use to solve 2x^2+4x-3=0
2) Which method is most efficient method to use to solve x^2+5x-6=0
3) Which method is most efficient method to use to solve 2x^2+4x-7=0
A. Factoring
B. Isolating the x^2 term and finding the square root of both sides
C. Using the quadratic formula
D. All three methods would be
(The answer choices are the same for all the problems)
Answer:
1. C
2. A
3. C
Step-by-step explanation:
1. The equation is most easily solved through the quadratic formula since it’s a term is greater than 1.
2. The equation is most easily factored since it’s a term is 1.
3. The equation is most easily solved by the quadratic formula since it’s a term is greater than 1.
A shoe store expected to to sell at least 95 pairs of shoes one weekend but only sold 77 pairs. What was the approximate percent error?
about 19 percent (~19%)
What is the amplitude and period of f(t)= -cos 3t?
Answer:
option c
amplitude 1 ; period 2π/3
Step-by-step explanation:
Given in the question a function,
f(t)=-cos3t
Standard form of cosine function is
f(t)=acos(bt)
Amplitude is given by = |a|
Period of function is given by = 2π/b
So the amplitude is |-1| = 1
the period is 2π/3 = 2π/3
Answer:
c. The amplitude is 1.
The period is [tex]\frac{2\pi}{3}[/tex]
Step-by-step explanation:
The given cosine function is ;
[tex]f(t)=-\cos 3t[/tex]
This function is of the form;
[tex]f(t)=a\cos bt[/tex]
The amplitude is given by |a|
|-1|=1
The period of this function is given by;
[tex]T=\frac{2\pi}{|b|}[/tex]
[tex]T=\frac{2\pi}{|3|}=\frac{2\pi}{3}[/tex]
The amplitude is 1.
The period is [tex]\frac{2\pi}{3}[/tex]
11cm long a ribbon is 24 cm long and a large paper clip is 5 cm long how much longer is the ribbon than string
Answer:
There's no string in your question so zero. If you find out how long the string is just subtract it from the ribbon
Step-by-step explanation:
Please please help me out please
Answer:
CD = 9.2 cm
Step-by-step explanation:
The arc of any circle is calculated as
arc = circumference × fraction of circle
= 2πr × [tex]\frac{66.4}{360}[/tex]
= 2π × 7.9 × [tex]\frac{66.4}{360}[/tex]
= [tex]\frac{2(7.9)(66.4)\pi }{360}[/tex] ≈ 9.2
arc CD is approximately 9.2 cm
i need help asapppppppp
Answer:
a) h(x)
b) q(x)
c) w(x)
Step-by-step explanation:
Finding the answers for this is easy. Take two values for x that shows a different Y-value for each function on the graph and place them in the equations suggested to see which equation match their Y-value on the graph.
Let's take x = -1 and x = 1.
a) h(x) = | -x + 3 |
| - (-1) + 3| = | 4 | = 4
| - 1 + 3 | = | 2 | = 2
h(x) passes through (-1,4) and (1,2)
b) q(x) = | x | + 3
|-1| + 3 = 4
| 1 | + 3 = 4
q(x) passes through (-1,4) and (1,4)
c) w(x) = | x+ 3 |
| -1 + 3 | = | 2 | = 2
| 1 + 3 | = | 4 | = 4
w(x) passes through (-1,2) and (1,4)
August hosted two dinner parties for his friends. Twenty guests attended the first party, and thirty-three guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?
Answer:
50%
Step-by-step explanation:
Describe the transformations of the following function. y=tan(2x-π)
Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
y = tan(2x - π)
y = tan (2*(x-π/2))
We can compare it to its parent function
g(x) = tan(x)
The answer is
Option a.
Horizontal shrink by 1/2 and horizontal shift of π/2 to the right
Olivia ties 2.5 feet of ribbon onto 1 baloon.How many yards of ribbon does Olivia need got 18 baloons?
Answer:
15 yards
Step-by-step explanation:
1 balloon = 2.5 feet
18 balloons = 2.5 x 18 = 45 feet
1 yard = 3 feet
[tex]\frac{3 feet}{1 yard}=\frac{45 feet}{x yard}[/tex]
45 = 3x
x = 15 yards
Math Post Q3 What inequality describes the graph?
For this case it is observed that the border of the region is not dotted, then the inequality includes an equal.
Thus, we discard options C and D.
We substitute the point (0,0) and see if it is fulfilled:
[tex]y\geq\frac {3} {2} x-3\\0 \geq\frac {3} {2} (0) -3\\0 \geq0-3\\0 \geq-3[/tex]
It is fulfilled, so the correct option is A.
Answer:
Option A
Answer:
A. [tex]y\geq \frac{3}{2} x-3[/tex]
Step-by-step explanation:
We are given a graph and we are to determine which inequality is described by the graph.
Since the graph has a solid line that means that the inequality includes the points on the line and must contain an equal sign.
So we will substitute the point (0, 0) to find the correct inequality.
[tex]y\geq \frac{3}{2} x-3[/tex]
[tex]0\geq \frac{3}{2} (0)-3[/tex]
[tex]0\geq 3[/tex] - true
[tex]y\leq \frac{3}{2} x-3[/tex]
[tex]0\leq \frac{3}{2} (0)-3[/tex]
[tex]0\leq 3[/tex] - false
Therefore, the correct inequality is [tex]y\geq \frac{3}{2} x-3[/tex].
1 On a trip to Griffith Observatory, Dave rode his bicycle six more than twice as many miles in the afternoon as in the morning. If the entire trip was 57 miles long, then how far did he ride in the morning and in the afternoon?
Answer:
the answer is he rode 17 miles in the morning and 40 miles in the afternoon
Step-by-step explanation:
so in the afternoon, it says that 6 more than twice as many miles in the afternoon as in the morning. this means that if the morning is x then in the afternoon it will be 2x+6 but it says altogether it is 57 miles so the you have to add x too.
so the equation is 2x+6+x=57
then this should be easy to solve.
2x+6+x=57
3x+6=57
3x=51
x=17
so if the morning is 17 miles then the afternoon will be:
2(17)+6
this equals to 40.
I hope that this is helpful!
American cars maker produce 5650000 cars each year in Europe that Americans make 6 million 550 cars the mistake did Ben make how can he fix it
Answer:
Ben has mixed up the digit for millions and hundred thousands: he wrote 5 in the place for millions and 6 in the place for hundred thousands, but it should be the other way. I think that he should exchange those two digits in the faulty report.
find the angle between vector u=i+sqrt 7 j and vector v=-i-4j to the nearest degree.
a. 173 degrees
b. 145 degrees
c. 115 degrees
d. 97 degrees
hence angle between vectors is option a ,173 degree
What is Vector Equation?When an equation has both direction as well as magnitude it refers to vector equation.
How to calculate angle between two vectors?Formula used [tex]\alpha =cos^{-1} (\frac{u.v}{|u||v|})[/tex]
u.v=1*(-1)+[tex]\sqrt{7} *(-4)[/tex]
|u|=[tex]\sqrt{ 1^{2} +\sqrt{7} ^{2}}[/tex]=[tex]2\sqrt{2}[/tex]
|v|=[tex]\sqrt{ (-1^{2}) +(-4^{2})[/tex]=[tex]\sqrt{17}[/tex]
[tex]\alpha =cos^{-1} (\frac{-1-4\sqrt{7} }{|2\sqrt{2} ||\sqrt{17} |})[/tex]
[tex]\alpha =cos^{-1} (\frac{-1-10.58}{2.82*4.12})[/tex]
[tex]\alpha =cos^{-1} (\frac{-11.58}{11.61})[/tex]
[tex]\alpha =cos^{-1} (-0.99)[/tex]
hence option a 173 degree is correct
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Fatema is making three hanging lanterns. They are each in the shape of a cone with a base radius of 0.5 feet and a slant height of 1.5 feet. She plans to completely cover all three lanterns with fabric. How many square feet of fabric will Fatema need?
Answer:
[tex]9.42\ ft^{2}[/tex]
Step-by-step explanation:
step 1
Find the surface area of one hanging lantern
we know that
The surface area of a cone (hanging lantern) is equal to
[tex]SA=\pi r^{2} +\pi rl[/tex]
we have
[tex]r=0.5\ ft[/tex]
[tex]l=1.5\ ft[/tex]
assume
[tex]\pi=3.14[/tex]
substitute the values
[tex]SA=(3.14)(0.5)^{2} +(3.14)(0.5)(1.5)[/tex]
[tex]SA=3.14\ ft^{2}[/tex]
step 2
Find the surface area of the three hanging lanterns
[tex]SA=(3)*3.14=9.42\ ft^{2}[/tex]
Answer:
9.42
Step-by-step explanation:
What is the difference between an observational study and an experiment? Choose the correct answer below. A. In an experiment, a treatment is applied to an entire population and responses are observed. In an observational study, a researcher measures characteristics of interest of an entire population but does not change existing conditions. B. In an experiment, a researcher measures characteristics of interest of a part of a population but does not change existing conditions. In an observational study, a treatment is applied to part of a population and responses are observed. C. In an experiment, a researcher measures characteristics of interest of an entire population but does not change existing conditions. In an observational study, a treatment is applied to an entire population and responses are observed. D. In an experiment, a treatment is applied to part of a population and responses are observed. In an observational study, a researcher measures characteristics of interest of a part of a population but does not change existing conditions.
Answer: “A”
Step-by-step explanation: Your Answer Would Be “A”
Answer:
A
Step-by-step explanation:
THAT IS THE BEST ANWSER OPTION
Which of the following relations is NOT a function?
A. {(2, 6), (- 4, 0), (2, 2), (3, 5)}
B. {(0, 0), (10, 4), (- 8, -5), (1, 1)}
C. {(12, 0), (- 4, 6), (2, 3), (6, 6)}
D. {(1, - 6), (9, 5), (7, 7), (5, 3)}
Answer:
It is A.
Step-by-step explanation:
In function A we see that there are 2 ordered pairs with value 2 in the first position with y values 6 and 2. So this is not a function.
A function is a relation in which each input pairs with exactly one output. In the given relations, option A is not a function because the input 2 pairs with both 6 and 2, contradicting the definition of a function.
Explanation:In mathematics, a function is a relation in which every input, also known as the domain, corresponds to exactly one output, called the range. Looking at the following relations, we determine if a relation is not a function by seeing if any input values are paired with more than one output.
Option A: {(2, 6), (- 4, 0), (2, 2), (3, 5)} is NOT a function because the input 2 corresponds to both 6 and 2, which violates the definition of a function.
Options B, C, and D each pair every input with exactly one output, thus they are all functions. In conclusion, the relation provided in option A is the only one that is not a function.
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Find the exact value of the following expression (without using a calculator): tan(Sin^-1 x/2)
Answer:
tan(Sin^-1 x/2)= [tex]\frac{x/2}{\sqrt{1-x^{2}/4 } }[/tex]
Step-by-step explanation:
Let sin^-1 x/2= θ
then sinθ= x/2
on the basis of unit circle, we have a triangle with hypotenuse of length 1, one side of length x/2 and opposite angle of θ.
tan(Sin^-1 x/2) = tanθ
tanθ= sinθ/cosθ
as per trigonometric identities cosθ= √(1-sin^2θ)
tanθ= sinθ/ √(1-sin^2θ)
substituting the value sinθ=x/2 in the above equation
tanθ= [tex]\frac{x/2}{\sqrt{1-x^{2}/4 } }[/tex]
now substituting the value sin^-1 x/2= θ in above equation
tan(sin^-1 x/2) = [tex]\frac{x/2}{\sqrt{1-x^{2}/4 } }[/tex]
!
Gabrielle tossed a die onto a black-and-red checkerboard. What is the probability that it will land with a value less than 3 and on a red square?
The probability that the die will land with a value less than 3 and on a red square, given an equal number of black and red squares, is 1/6.
Explanation:The subject of this question is probability, a branch of Mathematics. In the given scenario, Gabrielle is tossing a die onto a black-and-red checkerboard. There are two separate events here - the roll of the die and the colour of the square where the die lands.
Firstly, the probability that the die will land with a value less than 3 is 2/6, or 1/3, as there are two sides of a six-sided die that have values less than 3 (1 and 2).
Secondly, assuming the checkerboard has an equal number of red and black squares, the probability that the die will land on a red square is 1/2.
Since these are separate events, we can calculate the combined probability by multiplying the probabilities of the individual events: (1/3) * (1/2) = 1/6. So, the answer is 1/6.
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Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?
Answer:
according to the equation it is 158.330917...
Step-by-step explanation:
put w as 64 and solve for t
Answer: 158.331 minutes.
Step-by-step explanation: To solve this problem we need to replace the given level of water (64 cups) in the equation, and isolate and calculate the time (t):
W=-0.414t+129.549
isolating t:
W-129.549=-0.414t
t=(W-129.549)/-0.414
replacing W=64
t=(64-129.549)/-0.414
t=-65.549/-0.414
t=158.331 minutes.
20 POINTS PLEASE HELP FAST
The answer is -- 29,524
Answer:
29,524
Step-by-step explanation:
This is a geometric sequence; notice how each new term is 3 times the previous term. Thus, a(n) = 1 · 3^(n-1). The 10th term is a(10) = 3^(9) = 19683.
a(4) = 27 (given)
a(5) = 81 (calculated)
a(6) = 243
a(7) = 729
a(8) = 2107
a(9) = 6561
a(10) = 19683 (previously calculated)
So the sum of the first 10 terms is 29,524.
1 + 3 + 9 + 27 + 81 + ... + 6561 + 19683 =
Ten times the sum of four and three
the answer is
10 × (4+3) = 70