Answer:
4.1 feet
Step-by-step explanation:
Two shapes are said to be similar if they have the same shape and their sides are in the same proportion, i.e. the ratio of their sides are equal.
Given the two figures attached, the height of the first figure is 11 ft, while its width is 8 ft. For the second figure, its height is x feet and its length is 3 ft. Since the two figure are similar therefore the ratio of their sides are equal. Therefore:
[tex]\frac{x}{11} =\frac{3}{8}\\ \\x=\frac{3*11}{8}=4.125\\ \\x=4.1\ feet(to\ nearest\ tenth)[/tex]
PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if
c= a + b.
Answer:
B
Step-by-step explanation:
The opposite sides of a parallelogram are parallel and congruent, thus
SR = PQ , that is
8a - 4 = 6a + 10 ( subtract 6a from both sides )
2a - 4 = 10 ( add 4 to both sides )
2a = 14 ( divide both sides by 2 )
a = 7
In a parallelogram consecutive angles are supplementary, thus
∠ P + ∠ Q = 180, that is
18b - 11 + 9b + 2 = 180, that is
27b - 9 = 180 ( add 9 to both sides )
27b = 189 ( divide both sides by 27 )
b = 7
Thus c = a + b = 7 + 7 = 14 → B
Which property was used to write the equation in step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
Answer:
Distributive Property
Step-by-step explanation:
If we have an equation where we multiply something in parentheses by a certain term, then we can apply the distributive property to simplify it.
In this case: [tex]5(x-7)=55[/tex]
We can multiply [tex]x-7[/tex] by 5 to simplify this equation - this is the distributive property.
[tex]5x - 35 = 55[/tex]
So the property used to write the equation in Step 2 was the distributive property.
Hope this helped!
Answer:
the answer is didrtbutive
Step-by-step explanation:
hope it helps.
have a good day:)
Determine the sum of the first ten terms of the geometric series -1 + 2 - 4 + 8 + ...
Answer:
-1+2-4+8-10+12-14+16-18+20
=
-47+68
= +21
hope youlike this
stay at home stay safe
keep rocking
What the answer now question correct answer fast
v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth
Find the equation of the following ellipse based on the following information: Vertices: (-2,0), (2,0) minor axis of length 2
Answer:
The expression of the ellipse is: [tex]\frac{x^2}{4} + y^2 = 1[/tex]
Step-by-step explanation:
The equation of a ellipse can be written by the following expression:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axi. Since we were given the length of the minor vertex, then:
[tex]2b = 2\\b = 1[/tex]
The length of the major axis is the distance between the two vertices.
[tex]2a = \sqrt{[2 - (-2)]^2}\\2a = \sqrt{(2 + 2)^2}\\2a = \sqrt{4^2}\\2a = 4\\a = 2[/tex]
Therefore the expression of the ellipse is:
[tex]\frac{x^2}{2^2} + \frac{y^2}{1^2} = 1\\\\\frac{x^2}{4} + y^2 = 1[/tex]
A regular octagon is inscribed inside a circle. The perimeter of the octagon is units. A: What is the measure of a side of the octagon? B: What is the measure of a central angle of the octagon? C: What is the approximate measure of the apothem of the octagon (to the nearest hundredth of a unit)? D: Using your answer to part C, what is the approximate area of the octagon (to the nearest whole )?
Answer:
Explained below.
Step-by-step explanation:
Consider the diagram of a regular octagon is inscribed inside a circle.
Suppose the perimeter if the octagon is 8a.
(a)
Compute the measure of a side of the octagon as follows:
[tex]\text{Perimeter}=8\times side\\\\8\times side=8a\\\\side=a[/tex]
Thus, the side of the octagon is a units.
(b)
The sum of all angles of around a point is 360°.
Consider the point P on the octagon.
The sum of all the angle surrounding P will be 360°.
There are a total of 8 angle surrounding the point P.
Then the measure of central angle is:
[tex]\text{Central Angle}=\frac{360^{o}}{8}=45^{o}[/tex]
Thus, the measure of central angle is 45°.
(c)
The line segment from the center of an octagon to the midpoint of a side, perpendicular to said side, is known as the apothem.
Consider the diagram.
In the diagram the line segment PC is an apothem, that is perpendicular to the AB.
The measure of segment AC = a/2 and the measure of segment PA is r (radius of the circle).
Compute he measure of PC as follows:
[tex]PA^{2}=PC^{2}+AC^{2}\\\\PC^{2}=PA^{2}-AC^{2}\\\\PC=\sqrt{PA^{2}-AC^{2}}[/tex]
[tex]=\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex]
Thus, the measure of the apothem of the octagon is[tex]\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex].
(d)
The area of an octagon is:
[tex]\text{Area}=2(1+\sqrt{2})a^{2}[/tex]
Hey loves!!! This is my last question(for now).Please help.
Answer:
35 degrees.
Step-by-step explanation:
m < TSK = 180 - 22 - 123
= 180 - 145
= 35.
Please answer this question now
Answer:
39°Step-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent:
m∠XWY = 90°
So:
90° + 58° + x - 7° = 180°
141° + x = 180°
x = 39°
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answer:
2.4 bags
Step-by-step explanation:
Uh you can keep your brains.
Using the data table, we get:
1, 2, 2, 3, 4 as our data.
Finding the mean:
(1+2+2+3+4)÷5=
12÷5=
2.4 bags
For a hypothesis test of H0: p = 0.40 against the alternative Ha: p > 0.40, the z test statistic is found to be 2.25. What can be said about this finding?
a. The finding is significant at both α = 0.05 and α = 0.01.
b. The finding is significant at α = 0.05 but not at α = 0.01.
c. The finding is significant at α = 0.01 but not at α = 0.05.
d. The finding is not significant at α = 0.05 and α = 0.01.
e. The finding is inconclusive because we don't know the value of p-hat.
Answer:
B
Step-by-step explanation:
The first thing we need to do here is to find the probability value that corresponds to z-score of 2.25
While this is traceable using the normal distribution table, we can easily find it using the Normal distribution function in excel
By using this, we get the probability P value of the z score 2.25 to be 0.012224
Now, before we can accept or reject H0, we need to compare the value of P to the significance level alpha
If P ≤ alpha, we reject the null hypothesis H0
At alpha = 0.05, p value is lesser , we reject the null hypothesis.
At alpha P 0.01, p value is greater so we accept null hypothesis
This shows that the finding is significant at alpha = 0.05 (since we rejected null hypothesis) but not at alpha = 0.01(since we accepted null hypothesis)
the The finding should be option b. The finding is significant at α = 0.05 but not at α = 0.01.
Calculation of the probability value:Since the z test statistic is found to be 2.25.
Now the P value of the z score 2.25 to be 0.012224
In the case when P ≤ alpha, we reject the null hypothesis H0
Now
At alpha = 0.05, the p-value is lesser, we reject the null hypothesis.
At alpha P 0.01, p value is more so we accept null hypothesis
Therefore, the option b is correct.
Learn more about hypothesis here: https://brainly.com/question/18831983
Given: l | | m m 1 = 140° m 3 = 50° m 6 =
Answer:
m∠6 = 90°
Step-by-step explanation:
∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:
180-140 = 40°
The measure of ∠2 is 40°.
The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:
180-(40+50) = 180-90 = 90°
(ANSWER ASAP) The table represents the multiplication of two binomials. What is the value of A?
-3x
-3x2
-5x
-5x2
By observing the table it can be concluded that the value of A must be equal to 3x × (-x)
So, the value will be -3x^2
Answer:
B on EDG
Step-by-step explanation:
HELP ME PLZ! I will not accept non sense answers. BRAINLIEST will be given to the person who gets it correct with full solutions.
[tex]A = 1500(1.00167)^{12t}[/tex]
=================================
Explanation:
You could use the formula
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
to plug in P = 1500, r = 0.02 and n = 12 to get the answer above. This is the compound interest formula. The interest rate r is divided into n = 12 to account for monthly compounding. The original exponent t turns into 12t. So for instance, if t = 2 years go by, then 12*t = 12*2 = 24 months have gone by.
1) solve for the shaded area
8 cm
15 cm
4 cm
30 cm
www.analyzematlucom
Answer:
208 cm²
Step-by-step explanation:
First, you take the area of the whole rectangle, to do this you simply multiply 30 by 15, meaning that the big rectangle’s area is 450 cm².
Then, you take the area of the small rectangle (the unshaded one), to do this, you simply figure out the sides (they end up being 11 cm and 22 cm, you can find this out through subtracting) and to find the area of this rectangle, you multiply 11 by 22, which gives you 242 cm²
Now all that is left to do is to subtract the unshaded area by the whole rectangles area to find the shaded part! This will look like this: 450-242= 208 cm²
The probability that two independent events both occur is the sum of the probabilities of each independent event. 4. When choosing a card randomly from a deck of cards, choosing a 5 or a spade are not
Answer:
(i) False
(ii) Selecting a 5 or a spade are not independent.
Step-by-step explanation:
(i)
Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.
If A and B are independent events then: [tex]P(A\cap B)=P(A)\times P(B)[/tex]
Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.
Then for events A and B: [tex]P(A\cap B)=0[/tex]
Thus, the statement is False.
(ii)
In a standard deck of 52 cards there are:
Spades = 13
Diamond = 13
Heart = 13
Clubs = 13
And each of these 13 cards are:
K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A
If a card labelled as 5 is selected then it could also be a Spade.
And if a spade is selected then the card could be labelled as 5.
So, selecting a 5 or a spade are not independent.
Complete the sentence by selecting the correct word from each drop-down menu. The middle value of a data set that is ordered from least to greatest is called the ____ . This value is a measure of ____. The options for the first ____ are mean/median/range The options for the second ____ are center/range/variation
Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Step-by-step explanation:
There are three measures of the center: 1) Mean 2) Median 3) Mode
Mean : Average value of the data
Mode = The most repeated value.
Median is the middlemost value in a well-ordered data.
It measures the center of the data.
Hence, the completed statement would be:
The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Answer:
First ____ is median
Second ____ is center
Step-by-step explanation:
The median is the middle value of a set of numbers, and is found in the center.
By visual inspection, determine the best-fitting regression model for the
scatterplot.
A. no pattern
B. Exponential
C. Quadratic
D. Linear
Answer: C
I just took the test
Please answer it now in two minutes
Answer:
m<x = 60
Step-by-step explanation:
This triangle seems to be a 30-60-90 triangle, therefore m<x will be 60 degrees.
Please answer answer question answer
Answer:
346.38022
Step-by-step explanation:
Using Law of Sines, we know that v=50
[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]
Area = ab·sin(C) /2
[34x50xsin(24)]/2
=346.38022
Answer:
i think he/she is right
Step-by-step explanation:
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined
Answer:
-\frac{7}{6}
Step-by-step explanation:
We can use the slope formula for the segment that joins any two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
which in our case gives:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}[/tex]
Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150 pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?
Answer:
Total consumer spending is 160
Step-by-step explanation:
Here , we are interested in calculating the total consumer spending.
In a long run perfect competition market, price interest with MC and minimum point of AC
Hence , P = AC
this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed
The total consumer spending is thus 267 * 0.6 = 160
Nicole makes $9.50 per hour working at an electronics company. She plans to buy a hand-held computer, the least expensive of which costs $245.60 and the most expensive of which costs $368.40. Write and solve an inequality describing how long Nicole will have to work to be able to buy a hand-held computer.
Please give me steps on how to solve this problem. THANK YOU.
Answer:
26 ≤ x ≤ 39 where x is # of hours
Step-by-step explanation:
If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:
245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)
Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.
Which equation is true for the value b = 10? A. 2(b + 4) = 16 B. 2(b + 2) = 40 C. 3(b – 2) = 24 D. 2(8 + b) = 42 E. 3(b – 4) = 20
Answer:
C is the correct answer
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
have a good day
27 An old-fashioned bicycle has two differently sized wheels. The circumference of the front wheel is 9 feet larger than the circumference of the back wheel. Thomas biked for a while and, according to his equipment, the front wheel went all the way around 500 times and the smaller wheel went all the way around 1400 times. How far, in feet, did Thomas bike?
Answer:
Half ans is in pic...
now, the circumference of the smaller wheel, will just be C = 2πr, with a radius of "r".
we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.
after Thomas cycled for a while, the large did 500 revolutions, or times around, whilst the small one did 1400, since it's smaller. On that time, they covered however, the same amount of ground, since they're on the same bike.
The amount covered by the small one in 1400 cycles, is 1400(2πr), that's how much ground it covered.
The amount covered by the large one in 500 cycles, is 500(2πr + 9).
And we know that ground covered, is the same for both, therefore, we also know that 1400(2πr) = 500(2πr + 9).
Refer to the pic for rest...
Hope it helped
Mark BRAINLIEST!
Is 210879 divisible by 3?
PLEASE HELPP
Answer:
Yes
Step-by-step explanation:
Well to figure out if 210879 is divisible by 3 we do,
210879 / 3
= 70 293.
Thus,
210879 is divisible by 3.
Hope this helps :)
Answer: Yes
Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.
Image is provided below.
The divisibility rules tell us that if the sum of the digits is divisible by 3,
then the number is also divisible by 3.
So since 27 is divisible by 3, 210,879 must also divisible by 3.
So our answer is yes, 210,879 is divisible by 3.
The graph is a marginal cost curve that compares expenses for producing apple pies. According to the graph, the marginal cost begins to increase when the producer makes two pies. three pies. four pies. five pies.
The correct answer is C. Four pies
Explanation:
Marginal cost refers to an increase in the cost of production as additional units are made. In the case of apple pies, the graph shows the cost for one is $1.00. Moreover, this decreases when two or three pies are produced because the cost is between $0.60 and $0.30. However, if the producer makes four or more units, the cost increases. For example, at four units the cost per unit is $0.60, while at six units the cost is $1.50. Thus, the marginal cost begins to increase at four pies.
Answer: four pies
Step-by-step explanation:
The graph is a marginal cost curve that compares expenses therefore it would equal four pies because the marginal cost rises on the graph starting at 4.
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is having a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?
Answer:
57
Step-by-step explanation:
Subtract one player from the total number, because one has to block.
19
Multiply this by the number of goalies there are.
19*3=57
There will be 57 kicks.
what is 23/20 as a mixed number
Answer:
[tex]1\frac{3}{20}[/tex]
Step-by-step explanation:
'23' fits into '20' one time. So, '1' would be the whole number. We would be left over with '[tex]\frac{3}{20}[/tex]' as the remainder, so '[tex]\frac{3}{20}[/tex]' would be the fraction of the mixed number.
Put them together, and you get: [tex]1\frac{3}{20}[/tex]
The fraction is already in it's simplest form.
Brainilest Appreciated.
The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
We have to given that,
A number is,
⇒ 23 / 20
We can divide it for the mixed fraction as,
⇒ 23 / 20
20 ) 23 ( 1
- 20
--------------
3
Therefore, It can be written as,
⇒ 23 / 20 = 1 3/20
Thus, The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
Learn more about the divide visit:
https://brainly.com/question/28119824
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Angle G is a circumscribed angle of circle E. Circle E is shown. Line segments F E and D E are radii. A line is drawn to connect points F and D. Tangents F G and D G intersect at point G outside of the circle. Angles E B D and F D E have measures of x degrees. What is the measure of angle G, in terms of x? x° + x° x° + 90° 180° – x° 180° – 2x°
Answer:
X+X
Step-by-step explanation:
did it on edg
Answer:
x° + x°
Step-by-step explanation:
Edge 2020
Urgetttttttt!!!!!!! On his way to work each day, Steve encounters one traffic light. He records the color of the light each day by marking "G" for green and "R" for red. Estimate the probability that Steve encounters a green light on any given day. G G G R R G R G G R R R R G G G G R R G
Answer:
[tex]\bold{P(A) =\dfrac{11}{20}}[/tex]
Step-by-step explanation:
A - an occurrence that Steve encounters the green light
number of all counted ligths: |Ω| = 20
number of counted green ligths: |A| = 11
Probability that Steve encounters a green light on any given day:
[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]