Answer:
Step-by-step explanation:
The scale factor is 2/3
2/3=2*2/2*3=4/6
2/3=2*3/3*3=6/9
The two figures are similar and the scale factor of the first figure to the second figure is \(\frac{2}{3}\)
What is Scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
From the given figure take the same sides of both figure
Width = \(\frac{6}{9}=\frac{2}{3}\)
Length = \(\frac{4}{6}=\frac{2}{3}\)
Height = \(\frac{2}{3}\)
Therefore the scale factor is \(\frac{2}{3}\)
Hence, the two figures are similar and the scale factor of the first figure to the second figure is \(\frac{2}{3}\)
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See image for question. Show workings.
Answer:
6. The word ‘COMMITTEE’ has 9 letters.
So it can be permuted in 9 ways, but we’ve got letters repeating there. To avoid the same arrangements happening again, we eliminate the repetitions.
M repeats twice. T Twice. E twice.
7. If it must be greater than 2000 , the first digit must either be 2 or 3 , which means you will have 2 choices. After that, there will be 3 choices for the second digit. Then there will be 2 choices for the third digit. Lastly there will be just 1 choice for the last digit.
The number of permutations becomes 2×3×2×1=12 .
Step-by-step explanation:
Answer:
#6The word has 9 letters with 2 Ms, 2Ts and 2Es
We need 2 Ts together, this reduces the number of positions by one.
The number of ways:
(9-1)!/2!2! = 8!/4 = 10080#7Digits 0, 1, 2, 3
Number should be greater than 2000, it means the number is:
2xxx ⇒ 3P3 = 3! = 6 waysor
3xxx ⇒ 3P3 = 3! = 6 waysTotal permutations:
2*6 = 12Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
Answer:
The answer is 5 books.
m - the number of books sold on Monday
t - the number of books sold on Tuesday
w - the number of books sold on Wednesday
On Tuesday, she sold twice as many books as she did on Monday: t = 2m
On Wednesday, she sold 6 fewer books than she did on Tuesday: w = t - 6
During the three days Rachel sold 19 books: m + t + w = 19
t = 2m
w = t - 6 = 2m - 6
m + t + w = 19
______
Substitute t and w in the third equation:
m + 2m + 2m - 6 = 19
5m - 6 = 19
5m = 19 + 6
5m = 25
m = 25 : 5
m = 5
Step-by-step explanation:
What is the magnitude of ?
V
(9,-4)
Answer:
The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.
Step-by-step explanation:
hope it help
Answer:
9.85
Step-by-step explanation:
|v|= √9²+(-4)²
=√81+16
=√97
|v|= 9.85
Natalie had 20 lbs. of cat food. If she feeds
her cat 6 of a pound daily, how many days
will the food she has last?
Answer:
3 days
Step-by-step explanation:
20/6 is 3.333
Answer:
3 days
Step-by-step explanation:
cuz after three days you will have two pounds left so you cant go another day
If the planes extend infinitely in all directions, where do plane ADB and line GA intersect?
If the planes extend infinitely in all directions, where do plane ADB and line EC intersect?
Answer: In piont A
On a test, Gina got 5/6 of the answers correct and Teddy got 7/8 of the answers correct. Who did better on the test?
The circle graph shows how a family spends its annual Income. If $25,200 is used for Food, Savings, and Insurance combined, what is the total annual income?
housing 21%
food 18%
clothing 17%
auto 14%
entertaining 12%
insurance 11%
savings 7%
Answer:41,328
Step-by-step explanation:
18+7+11=36 36%
100-36=64 64%
25,200 x 164%=41,328
how many 7-letter sequences (formed from the 26 letters in the alphabet, with repetition allowed) contain exactly one a and exactly two bs?
There are 34836480 number of 7-letter sequences (formed from the 26 letters in the alphabet, with repetition allowed) contain exactly one a and exactly two bs.
What is permutation?
A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
In order to fix 7 − letter sequences (formed from the 26 letters in the alphabet, with repetition allowed) contains exactly one a and exactly two b, we know that For a sequence having n letters, it is called n letter sequence. Such sequences exist with 26^n cases with repetition of letters are allowed.
So, the number of desired cases are,
= \(\frac{7_P_3(24)^4}{2} = 34836480\)
Hence, there are 34836480 number of 7-letter sequences (formed from the 26 letters in the alphabet, with repetition allowed) contain exactly one a and exactly two bs.
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is the following table Proportional or Non proportional?
HELP PLS:(
Answer: proportional
Step-by-step explanation: I took the test and looked it up on 3 different websites like duh
A rectangular prism has a base of 32 cm² and a height of 7 cm. What is the volume of the prism?
Which linear function has the same y-intercept as the one that is represented by the graph? 1y 324 23
Answer:
C. \( y = 2x + 3 \)
Step-by-step explanation:
A linear equation written in the slope-intercept form is represented as \( y = mx + b \).
The y-intercept is b.
The variable b on a graph is the point where the line cuts across the y-axis, for which the value of x is zero.
Therefore, the y-intercept of the graph given is 3. At this point where the line intercepts the y-axis, you can observe that the value of x = 0.
Therefore, the linear function, \( y = 2x + 3 \) has the same y-intercept as the graph, which is 3.
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R is mph when T is seconds. Find the speed of a car that travels the given distance in seconds.
Answer:
4
Step-by-step explanation:hrllo sdkksfdjg jdskl fg
4x + 6 +3=17
"X" is equal to
Answer:
X is equal to 2. hope it will help you
Answer:
x=2
Step-by-step explanation:
4x+9= 17
4x=17-9 ( because +9 has gone to next side so it's sign is changed -9)
4x=8
x=8/4(4 wasin (×) so sign changed in(÷) )
×=2
how much money is 10 quarters 17 dimes 40 nickels and 15 pennies
Answer:
$6.35
Step-by-step explanation:
10 quarters =
10 × .25 = $2.50
17 dimes =
17 × .10 = $1.70
40 nickels =
40 × .05 = $2.00
15 pennies =
15 × .01 = $0.15
2.50+1.70+2.00+.15
= 6.35
The total is $6.35.
Reasoning The spinner is divided into eight equal parts. Find the theoretical probability of landing on the given section(s) of the spinner. Use pencil and paper. Are you able to use the probability to predict future events? Explain.
Because the 8 parts are equal, there is an equal chance of landing on each part. The chance of landing on any part is 1/8. This means that it would be impossible to predict with certainty which section will be landed on, because there is an equal chance of each.
Does that help?
Answer:
Because the 8 parts are equal, there is an equal chance of landing on each part. The chance of landing on any part is 1/8. This means that it would be impossible to predict with certainty which section will be landed on, because there is an equal chance of each.
Does that help?
Step-by-step explanation:
Two people are looking at a totem pole that is 65 feet tall. When the two people are looking at the top of the totem pole, they are exactly 200 feet apart the person closest to the totem pole has an angle elevation to the top of the totem pole of 32 degrees as shown. what is the value of x rounded to the nearest hundredth
The value of ‘x’ rounded to the nearest hundredth is 84.97 feet.
Let the height of the totem pole be ‘h’ and the distance between the two people be ‘d’.Given: Height of the totem pole, h = 65 feetDistance between the two people, d = 200 feetAngle of elevation of the top of the totem pole from the person closest to it,
θ = 32°We need to find the value of ‘x’. From the given diagram, we can see that the distance between the person closest to the totem pole and the base of the totem pole can be given by:
Distance = h / tanθ = 65 / tan 32°= 115.03 Feel Now,
we can calculate the distance between the two people by adding this distance to ‘x’.
Therefore, d = 115.03 + x Solving for ‘x’,
we get : x = d - 115.03x = 200 - 115.03x = 84.97 feet (rounded to the nearest hundredth)
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8/2(2+2)=?
100 points to the best answer!
Answer:
16
Step-by-step explanation:
8/2(2+2)
- According to the rules of BEDMAS, solve the values inside the bracket.
8/2 (4)
- Simplify the fraction outside the bracket.
4(4)
- Multiply the two values.
= 16
Answer:
16
Step-by-step explanation:
8/2 is the same as 8 divided by 2, and that is equal to 4. 2+2 is 4, and 4 times 4 is 16
Analia wants to know which school has higher athletic achievements relative to the SAT average. 1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers: (Choice A) A % of students in sports club divided by SAT average (Choice B) B Graduation rate divided by SAT average (Choice C) C Number of sports medals won (Choice D) D Number of sports medals won divided by SAT average 2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions? Choose 1 answer: Choose 1 answer: (Choice A) A Yes. According to both definitions, School A has higher athletic achievements relative to the SAT average. (Choice B) B Yes. According to both definitions, School B has higher athletic achievements relative to the SAT average. (Choice C) C No. The definitions have opposite results.
Answer:
( THIS MAY NOT BE CORRECT FOR EVERYONE'S QUESTION )
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
% of students in sports club divided by SAT average
number of sports medals won divided by SAT average
2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions?
No. The definitions have opposite results.
khanad2021
In a cyclic quadrilateral ABCD, if (∠B – ∠D) = 60o , show that the smaller of the two is 60o
ANSWER
It is given that ABCD is a cyclic quadrilateral
(∠B−∠D)=60
o
......(1)
(∠B+∠D)=180
o
.....(2)
By adding both the equations
∠B−∠D+∠B−∠D=60
o
+180
o
So we get
2∠B=240
o
By division
∠B=120
o
By substituting equation it in equation (1)
(∠B−∠D)=60
o
120
o
−∠D=60
o
On further calculation
∠D=120
o
−60
o
by subtraction
∠D=60
o
Therefore, the smaller of the two angles ∠D=60
o
.
Step-by-step explanation:
Mary, Rafael, and Goran sent a total of 119 text messages over their cell phones during the weekend. Goran sent 3 times as many messages as Mary. Mary sent 6 more messages than Rafael. How many messages did they each send?
Massages send by Mary, Garon and Rafael are 25, 75 and 19 respectively.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
The total massage sent = 119
Let Mary sent x message,
According to given condition,
Massages sent by Goran = 3x
Massages sent by Rafeal = x-6
Since, the total massages are 119, use equation format,
⇒ x+3x+x-6=119
⇒ 5x=125
⇒x=25
Massages send by Mary x=25
Massages send by Goran 3x=75
Massages send by Rafael x-6= 19
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7. MP Persevere with Problems The greenhousetemperatures at certain times are shown in the table.The greenhouse maintains temperatures between 65°Fand 85°F. Suppose the temperature increases at a constantrate. Create a graph of the time and temperaturesat each hour from 1:00 P.M. to 8:00 P.M. Is the relationshipproportional? Explain.
We are given a table of temperatures that are being maintained at different times in a greenhouse . We are to consider that the temperatures increase at a constant rate and we are asked to create a graph for this.
of ch have a coupon. Answer each question our reasoning One buys an item with a normal price of $24), but saves $6 by using a coupon For what percentage off is this coupon? 00 */% 100% 0% 25% 50% 75% 100%
The percentage off of the coupon is 25%
How to determine the percentage of the couponFrom the question, we have the following parameters that can be used in our computation:
Normal price = $24
Amount saved = $6
The above parameters mean that
Percentage of the coupon = Amount saved/Normal price
Substitute the known values in the above equation, so, we have the following representation
Percentage of the coupon = 6/24
Evaluate
Percentage of the coupon = 25%
Hence, the percentage is 25%
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What is the equation of this graph?
Answer:
y=-1x+-1
Step-by-step explanation:
the line is on the -1 on the x axis and the y axis
Solve the Bernoulli equation below. (x + 2)y – 3y = (x + 2)" y3 =
The solution to the Bernoulli equation is given by:
ln|y| + 3/y = -2/(x + 2) + C.
To solve the Bernoulli equation (x + 2)y - 3y = (x + 2)^y^3, we can use the substitution method.
Let's make the substitution v = y^(1-3) = y^-2.
Taking the derivative of v with respect to x gives:
dv/dx = -2y^-3 * dy/dx.
Now, substitute v and dv/dx into the equation:
(x + 2)y - 3y = (x + 2)^y^3.
(x + 2)y - 3y = (x + 2)^(-2) * (-2y^-3) * dy/dx.
Simplifying the equation, we get:
(x + 2)y - 3y = -2(x + 2)^(-2) * y^-3 * dy/dx.
Divide both sides of the equation by (x + 2)y^3 to get:
1 - 3y^(2-3) = -2(x + 2)^(-2) * y^-2 * dy/dx.
Simplifying further:
1 - 3y^(-1) = -2(x + 2)^(-2) * y^-2 * dy/dx.
1 - 3/y = -2(x + 2)^(-2) * 1/y^2 * dy/dx.
1 - 3/y = -2/y^2 * (x + 2)^(-2) * dy/dx.
Now, we have a separable equation. Rearranging the terms:
1/y - 3/y^2 = -2/(x + 2)^2 * dy/dx.
Integrate both sides with respect to x:
∫(1/y - 3/y^2) dx = ∫(-2/(x + 2)^2) dy/dx dx.
The integral on the left side can be evaluated as:
ln|y| + 3/y = -2/(x + 2) + C,
where C is the constant of integration.
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Help me please????/
:(
Answer: multiple them all together to get the answer
Step-by-step explanation:
Assuming the binomial distribution is appropriate, if n = 10 and p(heads) = 0. 30, the probability of getting at least 8 heads is _________
The probability of getting at least 8 heads, assuming a binomial distribution with n = 10 and p(heads) = 0.30, is approximately 0.2338.
To find the probability of getting at least 8 heads in a binomial distribution with n = 10 and p(heads) = 0.30, we can calculate the probability of getting exactly 8, 9, and 10 heads and then sum them up.
Let's start by calculating the probability of getting exactly 8 heads:
P(X = 8) = C(10, 8) * (0.30)^8 * (0.70)^2
Where C(10, 8) represents the number of ways to choose 8 successes out of 10 trials, and (0.30)^8 * (0.70)^2 represents the probability of getting 8 heads and 2 tails.
Using the combination formula, C(10, 8) = 10! / (8! * (10 - 8)!), we can simplify the expression:
P(X = 8) = 45 * (0.30)^8 * (0.70)^2
Similarly, we can calculate the probability of getting exactly 9 heads:
P(X = 9) = C(10, 9) * (0.30)^9 * (0.70)^1
Using the combination formula, C(10, 9) = 10! / (9! * (10 - 9)!), we have:
P(X = 9) = 10 * (0.30)^9 * (0.70)^1
Lastly, the probability of getting exactly 10 heads:
P(X = 10) = C(10, 10) * (0.30)^10 * (0.70)^0
Using the combination formula, C(10, 10) = 10! / (10! * (10 - 10)!), which simplifies to 1:
P(X = 10) = 1 * (0.30)^10 * (0.70)^0
Now, to find the probability of getting at least 8 heads, we add the probabilities of these three cases:
P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)
Calculating the values for P(X = 8), P(X = 9), and P(X = 10) using the given values, we can find the probability of getting at least 8 heads.
Please note that the final value would depend on the calculations, and you can perform them to obtain the exact probability.
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What is the probability of a football player correctly guessing whether the coin
toss will be heads or tails?
If x= -1 in the equation y = 2x + 2, then what is the value of y?
A/
someone pls help it’s due today :(
180 - 28 - 14 = 138
so 12x - 18 = 138
x = 13
Please help!! I need this ASAP
Answer:
a= 2.5 times 42
Step-by-step explanation:
i had this class last year