Señor Ochoa draws the perimeter of the garden with actual length of the vertical and horizontal legs of his triangular garden 3 meters as 6cm in his initial drawing with 18.5cm third side. Then new drawing with the vertical and horizontal legs of 18 cm
A scale drawing is a representation of an object or space that is reduced or enlarged in proportion to the actual size. To make a new scale drawing of Señor Ochoa's garden with the new dimensions of 18 centimeters for the vertical and horizontal legs of the triangle, you would need to apply a scale factor of 18/6 = 3 to the original drawing.
So, you would multiply each original dimension by 3 to get the new dimensions for the scale drawing.
The new scale drawing would be:
6cm × 3 = 18cm
6cm × 3 = 18cm
8.5cm × 3 = 25.5cm
The new scale is
= scale dimension/ original dimension
= 18cm/ 3m
= 18cm/ 300cm
= 3/ 50
It is also worth noting that as you are changing the scale, the measurement of the hypotenuse of the triangle would be affected, which is the square root of 3 meters, that would be approximately 25.5cm, which is the same as the original measurement on the original drawing.
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what is the difference of 1 and a number?
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answer:
Step-by-step explanation:
4/56\8
help w one question plz
Answer:
B is the right answer
Step-by-step explanation:
At a local college, 118 of the male students are smokers and 472 are non-smokers. Of the female students, 50 are smokers and 450 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers? Do not round your answer.
Answer:
The probability that both are smokers is 0.02
Step-by-step explanation:
Prob. of male smoker [tex]P(ms)= \frac{118}{590} = 0.2[/tex]
Prob. of female smoker [tex]P(fs) = \frac{50}{500} = 0.1[/tex]
Prob. that both ar smokers [tex]P(bs)=P(ms) * P(fm) =0.2 * 0.1 = 0.02[/tex]
WASTE Suppose the waste generated by nonrecycled paper and cardboard products in tons y after x days can be approximated by the function y=1000(2)0.3x.
a. Identify key features.
y-intercept: , 1 of 8.
domain: , 2 of 8.
range: , 3 of 8.
b. Identify the relevant domain and range.
Because time , 4 of 8. , the relevant domain is , 5 of 8. .
Because the amount of recycled paper and cardboard , 6 of 8. , and the amount when x=0
is , 7 of 8.tons, the relevant range is , 8 of 8. .
a. The key features of the exponential function y = 1000(2)^(0.3x) is given as follows:
y-intercept: y = 100.Domain: all real values.Range: y ≥ 1000.b. The relevant domain and range are given as follows:
Domain: x ≥ 0.Range: y ≥ 1000.What are the features of the exponential function?The exponential function for this problem is modeled as follows:
y = 1000(2)^(0.3x).
The features are given as follows:
Initial value, when x = 0, of y = 1000, representing the y-intercept.Rate of change of 2 for each period of 0.3 units.The domain of the function is the set that composes all input values of the function, and as the exponential function does not have any restrictions such as a fraction or an even root, it is composed by all real values.
However, the relevant domain is x ≥ 0, as the number of days does not assume negative values.
The range is the set containing all output values of the exponential function. As the initial value of the exponential function is of 1000 and the function is increasing, the range is y ≥ 1000.
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y = 3x + 13
y = -2x - 22
substitution method show work
pls someone help quick
Answer:
x = -7
Step-by-step explanation:
3x + 13 = -2x - 22
subtract 13 from both sides
3x = -2x - 35
Add 2x to both sides
5x = -35
Divide each side by 5
x = -7
Which set of ordered pairs represents a function?
1-{(−5,−4),(3,4),(7,−6),(7,1)}
2-{(8,−2),(6,8),(6,3),(−4,−2)}
3-{(7,5),(7,−9),(−2,−3),(4,−1)}
4-{(−8,−7),(0,−7),(−4,0),(4,−5)}
Answer:
The 4th set only has unique x values as it is not repeated making it a function frm the others
Which matrix represents the system of equations shown below?
2x - 9y = 12
-5x - 7y = 15
O A.
[2 -9 12
5 -7 15
O B.
1-2 -9 127
5 -7 15
O C.
2 -9 127
-5 -7 15
O D. 13:53
1-2 -9 -121
-5 -7 -15
Answer:
c because c is c kkjwjwjjjwjwjsjssjsjjssmsswnsnsnsnnsns
The matrix that is represented by the system of equations is:
[tex]\left[\begin{array}{ccc}2&-9&12\\-5&-7&15\end{array}\right][/tex]
Option C is the correct answer.
What is a matrix?A matrix is a set of numbers arranged in rows and columns such that it forms a rectangular array.
We have,
Here, the coefficient matrix is the matrix on the left-hand side, the variable matrix is the column matrix containing the variables x and y, and the constant matrix is the column matrix on the right-hand side containing the constants 12 and 15.
To solve the system of equations, we can use matrix operations to transform the coefficient matrix into the identity matrix, while performing the same row operations on the variable matrix and the constant matrix.
Once we have transformed the coefficient matrix into the identity matrix, the variable matrix will be transformed into the solution vector containing the values of the variables x and y that satisfy the system of equations.
Thus,
The matrix that is represented by the system of equations is:
[tex]\left[\begin{array}{ccc}2&-9&12\\-5&-7&15\end{array}\right][/tex]
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Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
Step-by-step explanation:
[tex] {a}^{2} = {8}^{2} + {5}^{2} \\ {a }^{2} = 64 + 25 \\ {a}^{2} = 89 \\ a = \sqrt{89} = 9.4 \: cm[/tex]
[tex] {17}^{2} = {12}^{2} + {b}^{2} \\ {b}^{2} = {17}^{2} - {12}^{2} \\ {b}^{2} = 289 - 144 \\ {b}^{2} = 145 \\ b = 12 \: cm[/tex]
Solve the formula V = πr²h for r.
Answer:
v=πr²h
divide both sides by πh
v/πh=r²
r²=v/πh
square root both sides
r=√v/√πh
I hope this helps
Pls answer! this problem
Answer:
9k + 36 represent the perimeter of the triangle. (I think)
Step-by-step explanation:
3k + 5 + 15 + 4k + 2k + 16 = the perimeter of the triangle
reorganize:
(3k + 4k + 2k) + (5 + 15 + 16)
9k + 36
Have a nice day!
What multiplication expression can I use to find 3/8 divided 3/4
Answer: [tex]\frac{3}{8}[/tex]➗[tex]\frac{3}{4}[/tex]
Step-by-step explanation: Are you looking to work out and calculate how to multiply 3/8 by 3/4? In this really simple guide, we'll teach you exactly what 3/8 times 3/4 is and walk you through the step-by-process of how to multiply two fractions together.
9/10 - 3/10
?????…..
Answer:
Step-by-step explanation:
9 - 3 = 6
6/10 = 3/5
Answer:
6/10 and/or 3/5(this is the answer simplified
Step-by-step explanation:
Subtract: 9/10 - 3/10
= 9 - 3/10
= 6/10
= 2 · 3/ 2 · 5
= 3/5
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 10) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 10 = 100. In the following intermediate step, cancel by a common factor of 2 gives 3/5. In other words - nine tenths minus three tenths is three fifths.
find the indicated sum
Step-by-step explanation:
option no 2 is correct
36 I hope is helpful
Question 3 A student solved a quadratic equation as shown here
Answer:
Didn't move the 12 on the other side of the equal sign to make
2x^2 + 5x - 12 = 0
the other steps error city.
Step-by-step explanation:
2x^2 + 5x - 12 = 0
(2x - 3)(x + 4)= 0
2x - 3 = 0
2x = 3
x = 3/2
x + 4 = 0
x = -4
A basking shark measures 25 feet long. A giant squid measures
33 feet long. How many inches longer is the basking shark than
the giant squid?
ounds and
Answer: 8 feet
Step-by-step explanation:
you take 33-25 to get the sum of 8. so the squid is 8 feet longer than the shark.
Use logarithmic table to evaluate 40.79÷0.003949
Answer:
1.033×10⁴
Step-by-step explanation:
You want the quotient 40.79÷0.003949 using log tables.
Log of quotientThe log of a quotient is the difference of logs:
log(a/b) = log(a) -log(b)
Log valuesIt can work well to start by writing the numbers in scientific notation:
log(40.79) = log(4.079×10¹) = 1 +log(4.079) = 1.6106
log(0.003949) = log(3.949×10⁻³) = -3 +log(3.949) = -3 +0.5965
Log of quotientThen the log of the quotient is ...
log(40.79/0.003949) = 1.6106 -(-3 +0.5965) = 4.0141
AntilogThe antilog of this number will be ...
antilog(4.0141) = 10⁴ × antilog(0.0141) ≈ 1.033×10⁴
With our 4-digit log tables, 4 significant figures is the best we can expect.
The quotient is about 1.033×10⁴.
__
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What type of graph is an inverse relationship?
On a graph, an inverse relationship always has a negative slope.
What is an inverse relationship?In statistics, if higher values of one variable tend to be related to lower values of the other, there is a negative association or inverse relationship between the two variables.
A negative link between two variables typically denotes a negative correlation, or what is similar in some cases, a negative slope on the associated graph.
Anticorrelation or inverse correlation are other terms for a negative correlation between two variables.
When two variables change in an inverse relationship, they do so in opposite directions: one increases while the other drops, and vice versa.
Y declines as X rises in an inverse relationship.
An inverse relationship always has a negative slope on a graph.
Therefore, on a graph, an inverse relationship always has a negative slope.
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The diagram below represents a street intersection. The dashed lines are new streets that are being proposed. If the turn represented by
Answer:
Step-by-step explanation:
Algebra 2
1) What is the multiplicative inverse of 300?
a) 300
b) 0.03
c) 1/300
d) None of the above
e) a and b
f) b and c
g) a and c
Answer:
Step-by-step explanation:
Option C is the correct answer
Answer:
the multiplicative inverse of 300 is 300Step-by-step explanation:
answer 300Anybody got an answer for this
Answer:
11
Step-by-step explanation:
brainliest me pls
Mr. Thompson earns $ 11.52 per hour. Last week he worked 37 hours how much F.I.C.A tax did he have to pay at 7.65%?
Answer:
$32.61
Step-by-step explanation:
First, we multiply the amount he earns per hour by the amount of hours he worked. $11.52 * 37 = $426.24. Then, we figure out what 7.65% of $426.24 is, which we can do by multiplying 426.24 by 0.0765. This gives us $32.60736, but since there is no form of US money that is worth less than 1 cent, we round to the nearest cent and get $32.61.
Hope this helps!
What is the value of x?
Answer:
x=9
Step-by-step explanation:
2x=x+9
Subtract x from both sides;
2x-x=x+9-x
Simplify;
x=9
Dalis' employer pays $2,150 in health insurance and $86
in life insurance per year. She also gets $3,520 in paid time
off per year. Her monthly gross pay is $4,370. What are
Dalis' total job benefits?
Answer: chiki
Step-by-step explanation:
A jar of coins contains only quarters and dimes. The total amount of money in the jar is $4.40, and there are 23 coins.
A. Write a system of equations that can be used to find d, the number of dimes, and q, the number of quarters, in the jar.
B. How many quarters are in the jar?
Answer:
(1) d+q=23 (the total number of coins is 23)
(2) 10d+25q = 440 (the total value of the coins, at 10 cents for each dime and 25 cents for each quarter, is 440 cents)
there are 14 quarters and 9 dimes
Step-by-step explanation:
PLSS helpppppppppppppp like plssss
Answer:
f=21-16, 5
Step-by-step explanation:
Just subtract 16 from both sides to get 5 as the solution
Answer:
ADDITION
16+f=x
Step 1: Add -16 to both sides.
f+16+−16=x+−16
f=x−16
Answer:
f=x−16
Step-by-step explanation:
SUBTRACTION
16−f=x
Step 1: Add -16 to both sides.
−f+16+−16=x+−16
−f=x−16
Step 2: Divide both sides by -1.
−f /−1 = x−16 /−1
f=−x+16
Answer:
f=−x+16
Find the measure of the given angle. Round to the nearest degree.
(O
6
?
13
15 degrees by eye i think
Jon flips a coin and writes down H if heads comes up or T if tails comes up. He does this 3 times. If the order of the results matters, how many possible outcomes are there?
Answer:
There are always two possible outcomes H (heads) and T (tails) but the possible combination outcomes are HH, TT, HT, and TH
Step-by-step explanation:
It is just my common sense~
There is 8 possible outcomes.
A batch of bottles were packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
hey ,
here is your answer,
_______________
Let the number of boxes filled, by using 20 bottles in each box, be x.
The following table is obtained.
______________________
| Number of bottles. 12. 20 |
| |
| Number of boxes 25. x. |
---------------------------------------------
More the number of bottles, lesser will be the number of boxes.
Hence, the number of bottles and the number of boxes required to pack these are inversely proportional to each other.
Therefore,
12 × 25 = 20× x
Hence, the number of boxes required to pack these bottles is 15.
Answer:
The answer is 15 Box.
No of bottles = 25 boxes × 12 bottles
= 300 bottles
So there were total 300 bottles in a box.
Now If 20 bottles are filled ina box then
no. of box required = 300/20
And answer is 15 boxes
PLEASE HELP ASAP- What is the value of AB?
Answer:
the answer would be 19 because these are congruent shapes
Hope this helps:)
Step-by-step explanation: