The side length of Figure A can be determined using the ratio of areas and the known side length of Figure B. The area of Figure A is 18 square feet and the area of Figure B is 98 square feet. The side length of Figure B is 14 feet. Using these values, the corresponding side length of Figure A can be calculated to be 7 feet.
The missing corresponding side length of Figure A can be determined using the ratio of areas and the known side length of Figure B. If two shapes are similar, then their corresponding sides are in the same ratio as their areas. Since the area of Figure A is 18 square feet and the area of Figure B is 98 square feet, the ratio of their areas is 18/98. Since the side length of Figure B is 14 feet, the corresponding side length of Figure A can be calculated by multiplying 14 feet by the ratio of 18/98, which is 0.1837. This value can be rounded to 7 feet. Therefore, the missing corresponding side length of Figure A is 7 feet. This result can be verified by calculating the area of Figure A using the known side length and the missing side length. If the two side lengths are multiplied together, the product should be equal to the area of Figure A, which is 18 square feet.
7 feet x 11 feet = 77 feet^2
77 feet^2 = 18 feet^2 (Area of Figure A)
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What does the word amphibian come from? like amphi comes from the word ** and Brian comes from the word **
Answer:
The word amphibian is a Greek word. It is the combination of the world “amphi,” which means dual, or both kinds and the word “bio,” which means life.
Step-by-step explanation:
The name amphibian, derived from the Greek amphibios meaning “living a double life,” reflects this dual life strategy—though some species are permanent land dwellers, while other species have a completely aquatic mode of existence. Approximately 8,100 species of living amphibians are known.
if a vehicle is going 75 mph, how many feet does it travel in one second? 110 feet 660 feet 330 feet 550 feet
The vehicle travels 110 feet distance in 1 second duration.
What is mean by mph?mph expresses the speed or velocity in miles per hour. Speed means rate of change of distance with respect to time.
speed = distance/time
hence, distance = speed x time
the above equation is the relationship between distance, speed and time
How can we calculate distance in feet?we will use the above equation and convert miles to feet and second to hour.
given, speed of vehicle = 75 mph
time = 1 second =1/3600 hour as 1 hour = 3600 second
distance travel by vehicle = speed x time
= 75 mph x 1/3600 hour
distance = 0.020833333 miles
we know, 1 mile =5280 feet
distance in feet = 110 feet
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Need help also stepbystep
Answer: -81
Step-by-step explanation: So, when finding exponents, you have to multiply the # in parentheses (in this case, -3) and multiply it by itself 4 times, so once is 3 x 1, twice is 3 x 3 = 9, three times is 9 x 3 = 27, and finally, 27 x 3 = 81. Oh, and a positive times a negative is ALWAYS negative. I hoped this explains why this is the rule for exponents.
1. slope =
2.
y-intercept = 0
Answer: y= 2x
Step-by-step explanation:
The linear function is y=mx+b
In this case, the m or slope is 2
And the b or y-intercept is 0
So we have the equation
y= 2x
question a polynomial p(x) has a relative maximum at (-2,4) , a relative minimum at (1,1) , a relative maximum at (5, 7) and no other critical points. how many zeros does p(x) have?
The polynomial p(x) must have at least two zeros, since it has three relative extrema.
What is polynomial?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x²- 4x + 7 is an illustration of a polynomial with a single indeterminate x.
Here i would think that since there are only 3 critical points given and no other information other than that those are the only critical points that p(x) would not have any real zeros.
At each of the relative extrema, the value of the function changes from increasing to decreasing or vice versa, meaning that the function crosses the x-axis at that point, which is a zero. Therefore, p(x) must have at least two zeros.
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what is sue's position x if her home is the origin? assume the positive direction is to the right.
If Sue's home is the origin and the positive direction is assumed to the right, then her position is 2 mi.
Therefore, the answer is 2mi.
Origin depends on the frame of reference, it depends on from where the observer is viewing.
From the figure, distance between home and Sue = 2 - 0 = 2mi
and the distance between Cinema and Sue = 5 - 2 = 3mi
Sue's position is 2mi right to her home and 3mi left to the Cinema. So if her home is the origin and positive direction is to the right x is +2 mi.
--The question is incomplete without the figure, answering to the figure attached--
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I need help!!!
BC.
AB.
BD.
CD.
Given all angle information, the assumption that sides [tex]\overline {BC}[/tex] must not be congruent to [tex]\overline{DA}[/tex] to give an appropriate answer. (Right choice: None)
How to determine what side is the shortest one in a quadrilateral
Any quadrilateral can be divided into two triangles by adding a diagonal. By Euclidean geometry, the sum of the measures of internal angles equals 180°. Likewise, we can determine how short or long a side is in terms of side BD by law of sine:
AD / sin 60° = AB / sin 63° = BD / sin 57°
1.155 · AD = 1.122 · AB = 1.192 · BD
AD = 0.971 · AB = 1.032 · BD
BC / sin 57° = CD / sin 55° = BD / sin 68°
1.192 · BC = 1.221 · CD = 1.079 · BD
BC = 1.024 · CD = 0.905 · BD
By direct inspection and use of equality properties, we find the existence of an absurdity, because 1.032 · BD = 0.905 · BD, then [tex]\overline {BC}[/tex] must not be congruent to [tex]\overline{DA}[/tex] to satisfy all angle conditions.
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PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATH
DO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE QUESTION PLEASE WILL GIVE BRAINLY ONLY IF ALL QUESTONS CORRECT
Answer:
1. B
2. A
3. B
4. D
5. C
*URGENT*
The sin (theta) = -2/5, and theta lies in quadrant IV. Find the exact values of the sine and cosine of 2 theta.
Answer: first choice!
sin2Theta= -4rt21/25
cos2Theta = 17/25
Step-by-step explanation:
Use Double Angle Formulas.
You can find cos2Theta immediately because one of the formulas needs only sin(theta) and that was given.
Cos2Theta =
1 - 2(sinTheta)^2
= 1 - 2(-2/5)^2
= 1 - 2(4/25)
= 1 - 8/25
= 25/25 - 8/25
= 17/25
The only answer with cos2theta=17/25 is the first choice.
Use a simple graph and Pythagorean Theorem to find cos(theta). Then you can use the Double Angle Formula for sin2theta. This would kinda be a double check if you have time. Since the first part of the solution eliminated all choices except the first choice, if you're pressed for time just do cos2theta calculation and pick the first choice.
See image for sin2theta calculation.
Can someone help? Please?
Answer:
D. 66 cm
Step-by-step explanation:
You have parallelogram MNPR with diagonals that cross at E, and ME = 7x-30, and PE = 5x-12. You want to know the length of MP.
DiagonalsThe diagonals of a parallelogram bisect each other this means point E is the midpoint of diagonal MP, and ...
ME = PE
7x -30 = 5x -12
2x = 18 . . . . . . . . . add 30-5x
x = 9
Then the length of the half-diagonal is ...
ME = 7x -30 = 7(9) -30 = 33
So, the full diagonal is ...
MP = 2·33 = 66 . . . . . cm
pooja's plant began sprouting 222 days before pooja bought it, and she had it for 989898 days until it died. at its tallest, the plant was 303030 centimeters tall. h(t)h(t)h, (, t, )models the height of pooja's plant (in centimeters), ttt days after she bought it. which number type is more appropriate for the domain of hhh?
If Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died , then the most appropriate for the domain of h is (c) -2 ≤ t ≤ 98 .
The term Domain is defined as the set of its possible inputs .
number of days before which the Pooja's plant sprouted = 2 days ,
the number of days Pooja had the plant is = 98 days ,
the height of the plant is denoted by the function ; h(t) .
where "t" is the number of days after she bought the plant .
From the above data , we can conclude that the domain for the function h(t) is -2 ≤ t ≤ 98 .
Therefore , the correct option is (c) -2 ≤ t ≤ 98 .
The given question is incomplete , the complete question is
Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died. at its tallest, the plant was 30 centimeters tall. h(t) models the height of Pooja's plant (in centimeters), t days after she bought it. Which number type is more appropriate for the domain of h ?
(a) 0 ≤ t ≤ 30
(b) 0 ≤ t ≤ 100
(c) -2 ≤ t ≤ 98
(d) 2 ≤ t ≤ 30
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what is an equation of the line that passes through the point (1,6)(1,6) and is perpendicular to the line x 3y
The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.
What is a perpendicular line?
If two geometrical objects overlap at a right angle, they are perpendicular. It can be defined between two planes, two lines, or two planes and another line.
Here, we have
Given
The point (1, 6) and is perpendicular to the line x + 3y = 27
The slope of the line x + 3y = 27
m = -1/3
The slope of the line perpendicular to the line x + 3y = 27
M = 3
The equation of the line:
y - 6 = 3(x - 1)
y = 3x + 3
Hence, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.
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Find the volume of question number 14
Answer:
5494.5
Step-by-step explanation:
[tex]\frac{1}{3}(37)(33)(13.5)=5494.5[/tex]
6. The discount price of a hat is $18. What is the regular price?
The store offers a 20% discount btw .
Answer:$22.50 regular price
Step-by-step explanation: RP=Regular Price
RP-20%of RP=18
RP-0.20RP=18........RP =1RP
1RP-0.20RP=18
0.80RP=18
RP=18/0.80
RP=$22.50
Answer:
22.50
Step-by-step explanation:
other answer is cryptic so here is a full explaination
To find the regular price of the hat, we need to determine the amount of the discount and then add that amount to the discount price.
The discount on the hat is 20% of the regular price, or 20/100 * regular price. The discount price is $18, so we can set up the equation:
discount price = regular price - (20/100 * regular price)
Substituting the known values into the equation, we get:
$18 = regular price - (20/100 * regular price)
Solving for the regular price, we find that the regular price is $22.50. This is the price of the hat before the discount.
Read the following statement: If A is an acute angle, then m2A = 30°. This statement demonstrates:
the substitution property.
the reflexive property. the symmetric property. the transitive property.
Answer:
Its been a minute since I've done this math
Step-by-step explanation:
This statement demonstrates the substitution property.
The substitution property states that if two expressions are equal, then we can substitute one expression for the other in any equation or inequality. In this case, "A" is an acute angle, and "m2A" is the measure of twice that angle. The statement says that if we double the measure of an acute angle, the result will be 30 degrees. Therefore, we can substitute "m2A" for 30 degrees in any equation or inequality.
The reflexive property states that any number or object is equal to itself. The symmetric property states that if a = b, then b = a. The transitive property states that if a = b and b = c, then a = c. None of these properties are demonstrated in the given statement.
Convert 1 1/8 to a decimal….
Answer:
1.375
Step-by-step explanation:
11/8=1.375
what is the answer for 3(3)-2y=10
Answer:
y=-0.5
Step-by-step explanation:
3(3)-2y=10
9-2y=10
-2y=1
y=-1/2
Answer:
y=-0.
Step-by-step explanation:
how would including a control group be useful in this experiment? responses it would provide a reference for the effects of random environmental factors. it would provide a reference for the effects of random environmental factors. it would provide a number against which percentages can be computed. it would provide a number against which percentages can be computed. it would provide a value for which the standard ph can be measured. it would provide a value for which the standard ph can be measured. it would provide a standard number to test for statistical uncertainty. it would provide a standard number to test for statistical uncertainty.
It would provide a reference for the effects of random environmental factors.
What is control group?A control group is a statistically significant subset of experiment participants who are not exposed to factors. For example, in a pharmaceutical medication research, the control group is given a placebo, which has no impact on the body. Assume you want to put a new ADHD medicine to the test. One group would be given the new drug, while the other would be given a tablet that looked precisely like the one given to the others, but it would be a placebo. The control group would be the group that receives the placebo.
Here,
It would serve as a reference for the effects of uncontrollable environmental elements.
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Can someone please help me
The equivalent expressions of 9/7x-3/4 are 9/7x+(-3/4) and -3/4+9/7x.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 9/7x-3/4.
Nine by seven times of x minus three by four.
x is the variable of expression.
The equivalent expression is an expression whose value is same but looks different.
9/7x-3/4.
By commutative property
-3/4+9/7x is an equivalent expression of 9/7x-3/4.
9/7x+(-3/4).
When we simplify we get 9/7x-3/4.
-9/7x+3/4 is also a equivalent expression we get it by multiplying with negative.
Hence, 9/7x+(-3/4) and -3/4+9/7x are equivalent expressions of 9/7x-3/4.
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Evaluate:
10 Σn=1 8(1/4) n -1= [?]
The evaluation is 10.67 of given geometric progression.
What is Geometric progression series?A geometric progression is a set of elements where each succeeding element is created by multiplying the one before it by a number called the common ratio. The standard representation for a geometric progression series is a, ar, ar²,..., where an is the first term and r is the common ratio of the sequence.
The ratio between two consecutive numbers, or a number divided by the number before it in the sequence, is known as the common ratio since it is the same for all numbers or common.
The sum of a finite geometric series can be found using the formula:
[tex]a (1-r^{n}) / (1-r)}[/tex].
Where a is the first term and r is the common ratio between successive terms.
To find the ratio of successive terms by plugging into the formula
r = aₙ +1 / (aₙ)
Simplifying,
r =1/4
And the first term is;
when n=1, a = 8
Substituting all the values to the formula,
The summation of GP
= 8 x { 1 - (1/4)¹⁰ } / {1- (1/4)}
= 8 { 1 - (1/1048576) / (3/4)
= 8 x {(1048576 - 1) / 1048576} x (4/3)
= 8 x (1048575 / 1048576) x (4/3)
= 8 x 349525 / 262144
= 2796200 / 262144
= 10.6666
The decimal form is 10.67.
Therefore, the evaluation is 10.67.
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WILL GIVE 50 POINTS
Which statement can be used to prove that the two triangles are congruent? the SAS Postulate the SSS Postulate the HL Theorem the ASA Postulate
Answer:
the HL Postulate
Step-by-step explanation:
The diagram gives us the information that 2 sides and 1 angle are congruent. Since the sides we know are a leg and the hypotenuse, and it is a right angle- we know to use the HL (Hypotenuse-Leg) Postulate.
If the angle given was the angle between the hypotenuse and the leg, we could use the SAS (Side-Angle-Side) Postulate. But, since it is the right angle instead- we know to use the HL Postulate!
What transformation took place to get from triangle ABC to triangle A’B’C’? Be specific.
What transformation took place to get from triangle A’B’C’ to triangle A”B”C”? Be specific.
We can see two transformations.
1) ΔABC → ΔA'B'C', it is a translation 10 units left and 2 units up.
T(-10, 2)2) ΔA'B'C' → ΔA''B''C'', it is a reflection across the x-axis.
R(x-axis)The following account and correponding balance were drawn from Dexter Company’ Year 2 and Year 1 year-end balance heet. Account Title Year 2 Year 1
Bond payable $213,600 $302,000
Common tock 374,900 282,100
Other information drawn from the accounting record:
Dividend paid during the period amounted to $38,400. There were no bond liabilitie iued during the period. Required
a. Compute the amount of cah flow aociated with the repayment of bond liabilitie. B. Compute the amount of cah flow aociated with the iue of common tock. C. Prepare the financing activitie ection of the tatement of cah flow
the dividend payment from the proceeds from the issuance of common stock to get our total financing activities of $54,400.
A. Cash flow associated with repayment of bond liabilities: $88,400
B. Cash flow associated with the issuance of common stock: $92,800
C. Financing activities section of the statement of cash flow:
Bonds payable:
Repayment of bonds payable ($88,400)
Common stock:
Proceeds from issuance of common stock 92,800
Dividends paid (38,400)
Total financing activities $54,400
The financing activities section of the statement of cash flow shows the cash flow associated with all financing activities of the company. First, we calculate the cash flow associated with the repayment of the bonds. We subtract the Year 2 balance from the Year 1 balance, which gives us a cash flow of $88,400. Next, we calculate the cash flow associated with the issuance of common stock. We subtract the Year 1 balance from the Year 2 balance, which gives us a cash flow of $92,800. Finally, we subtract
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This bar chart shows the average monthly expenditure, by category, of
households in a particular town in 2010 and 2020.
Average monthly expenditure (£)
600
500
400
300
200
100
Clip 15
Key:
2010
2020
I
Transport Utility Food Housing Leisure
bills Category
a) Which category shows a decrease
in the average monthly expenditure
between 2010 and 2020?
leisure
b) How much more was the average
monthly expenditure on Food in
2020 than in 2010?
c) The total average monthly
expenditure in 2010 was £1200.
What was it in 2020?
View One Minute Version
£
Find a Clip
£
a) The category that shows a decrease in the average monthly expenditure between 2010 and 2020 is Leisure.
b) The average monthly expenditure on food was 175 euros more in 2020 than in 2010.
c) The total expenditure in 2020 is of: 1,625 euros.
What is shown by the bar chart?The bar chart shows the average monthly expenditure in five categories, considering that:
The blue bar represents the year of 2010.The gray bar represents the year of 2020.
Then a decrease happens for the category which the blue bar is greater than the gray bar, which is Leisure.
The averages on Food are given as follows:
2010: 150 euros.2020: 325 euros.Hence the difference is of:
325 - 150 = 175 euros.
From the gray bars, the 2020 total is given as follows:
250 + 425 + 325 + 550 + 75 = 1,625 euros.
Missing InformationThe bar graph is given by the image shown at the end of the answer.
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I need help on this geometry probability question
Answer:
83% to (rare photos) becaheyhw euehem e the same time of 6year and I was in a group with my wife and a daughter and my daughter in the night and I was so happy 4and was a 4ship 4in who 5is and my daughter and my husband were so young that I was in the same 5 year olds and I was in the
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
If 1=3, 2=3, 3=5, 4=4, and 5=4, then it is not possible to determine the value of 6. In this scenario, the numbers are not being used in a consistent or logical manner, so it is impossible to predict what value 6 might have. In general, it is not possible to determine the value of a number based on a series of equations that do not follow the rules of arithmetic.
a new chemotherapy drug was tested in a randomized controlled trial (rct) on 822 cancer patients. of the 344 patients randomly assigned to receive the new drug, 101 survived for at least five years. of the 478 patients randomly assigned to the placebo, 299 survived for at least five years. determine the conditional probability of randomly selecting a study participant who survived for at least five years, given drug assignment.
We determined the conditional probability of drug assigned people who survived at least 5 years = 101/344
What is conditional probability?The possibility of occurring an event connected to the previous other event. That means occurring of two events is related to each other.
How to determine conditional probability of the question?We determine the probability by the following way.
At first, we will make a chart with the given data.
survived 5yrs get other result total
Drug assign 101 243 344
placebo 299 179 478
total 400 422 822
We need to determine the probability of 5 years survived persons from drug assigned
Let, it is denoted by P(Sr/Dr)
As per conditional probability P(Sr/Dr) = P(Sr and Dr)/P(Dr)
= 101/344
As from the above chart, we find P (Sr and Dr) =101 and
P(Dr) = total drug assigned = 344
hence, P(Sr/Dr) = 101/344
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The punnett square shows the results when two parent dogs are crossed. L represents the allele for a long tail, and l represents the allele for a short tail. Which best describes this inheritance pattern? incomplete dominance because neither allele for tail length is dominant codominance because neither allele for tail length is dominant incomplete dominance because the offspring display an intermediate form of tail length codominance because the offspring display an intermediate form of tail length.
The best description for the inheritance pattern will be incomplete dominance because the offspring display an intermediate form of tail length.
The relationship is referred to be "complete dominance" when the phenotype (the observable trait) of the heterozygote is identical to the dominant homozygote. Complete dominance isn't necessarily the result, but rather imperfect supremacy, as heredity is full of variances and changes.
Although we are aware of total dominance, you might still be unclear as to how partial dominance varies. Is it essentially what the name implies? When one allele for a certain trait is not completely dominant over its counterpart, this is known as partial dominance (or the other allele). The outcome is a mixed phenotype, which is evident in the progeny.
Why does this matter? Each parent's characteristics are neither dominant nor recessive. A third phenotype that combines the traits of the two homozygotes results from a partial dominance relationship between two alleles; this is known as a "intermediate form of inheritance." The features are combined and appear to be "blended," but the alleles do not blend yet, partial dominance is frequently referred to as "blending."
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Answer: incomplete dominance because the offspring display an intermediate form of tail length.
Or C.
Step-by-step explanation:
taking the test on edge
Which theorem shows that △ABC ≅ △DEF?There
are two triangles, triangle ABC and triangle DEF. Side AB is congruent
to side DE, side AC is congruent to side DF, side BC is congruent to
side EF.
A. The triangles are not congruent.
B. SAS Triangle Congruence Theorem
C. Isosceles Triangle Theorem
D. SSS Triangle Congruence Theorem
Answer:
D
Step-by-step explanation:
The correct answer is D. The SSS Triangle Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. In the given situation, triangle ABC and triangle DEF are congruent because all three sides of triangle ABC are congruent to the corresponding sides of triangle DEF.
Please help me answer this question
Step-by-step explanation:
5x - 3 = 5
5x = 8
x = 8/5 = 1.6
5x = 2
x = 2/5 = 0.4
both equations are vertical lines.
the first one (x = 1.6) was moved (translated) left by 1.2 units to become x = 0.4.