Answer:
Step-by-step explanation:
DC=2-0=2
Or
DC=√[(2-0)²+(-2-(-2))²]=√[4+(-2+2)²]=√4=2
BC=(0-(-2))=2
Or
BC=√[(2-2)²+(-2-0)²]
=√[0+4]
=2
AB=√[(2-0)²+(0-4)²]
=√[4+16]
=√20
=2√5
Perimeter=2[DC+BC+AB]
=2[2+2+2√5]
=2[4+2√5]
=8+4√5 Units
Given that ZZ -- LX, M2W = x + 3, and m_Y = 2%-13)
3, find the value of x for which WXYZ must be a parallelogram.
9514 1404 393
Answer:
(c) 16
Step-by-step explanation:
The figure will be a parallelogram when opposite angles are congruent. We already know X and Z are congruent, so we need to find x so that W = Y.
x +3 = 2x -13
16 = x . . . . . . . . . . add 13-x to both sides
please help 10 points for the question i dont know why but my brain cannot compute this question
9514 1404 393
Answer:
(b) 6^10/7^6
Step-by-step explanation:
The applicable rules of exponents are ...
(a/b)^c = (a^c)/(b^c)
(a^b)^c = a^(bc)
__
This means you have ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\dfrac{(6^5)^2}{(7^3)^2}=\dfrac{6^{5\cdot2}}{7^{3\cdot2}}=\boxed{\dfrac{6^{10}}{7^6}}[/tex]
__
Additional comment
I find it helpful to remember that an exponent signifies repeated multiplication. Then ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\left(\dfrac{6^5}{7^3}\right)\cdot\left(\dfrac{6^5}{7^3}\right)=\dfrac{6^5\cdot6^5}{7^3\cdot7^3}=\dfrac{6^{5+5}}{7^{3+3}}=\dfrac{6^{10}}{7^6}[/tex]
Find the equation of a line passing through the point of intersection of line 2x+y-8=0 and 3x-4y=3 and is parallel to line Y=2x-8
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.I hate financial maths. 20 points!!!
According to the table,
• € 1 = R 12,75
• $ 1 = € 0,70
• $ 1 = R 8,89
Then
€ 250 × (R 12,75 / € 1) = R 3.187,5
$ 1300 × (€ 0,70 / $ 1) = € 910
$ 680 × (R 8,89 / $ 1) = R 6.045,2
Write 7,08 x 10" in standard notation
Answer:
70.8
Step-by-step explanation:
7.08×10 is 70.8
...............
8. Find f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
f(x) < g(x)
(2x + 3) < (3x - 2)
3 < x - 2
5 < x
x > 5
Check:
2x + 3 < 3x - 2
2(5) + 3 < 3(5) - 2
10 + 3 < 15 - 2
13 < 13 --- FALSE
2(10) + 3 < 3(10) - 2
20 + 3 < 30 - 2
23 < 28 --- TRUE
Hope this helps!
Answer:
x < 5
Step-by-step explanation:
f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
2x + 3 < 3x - 2
2x - 3x < -2 -3
-x < -5
x > 5
Which expression is the best estimate of the product 7/8 and 8 1/10
Answer:567/ 80 or 7(which was rounded to the nearest whole number)
Step-by-step explanation:
Identify the property of real numbers that justify the work done to simplify the expression below.
The property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.
What is the distributive property of multiplication?The distributive property of multiplication states that the same result is obtained by multiplying the sum of two or more addends by a number or multiplying each addend individually and adding the products.
The steps for the distributive property of multiplication are:
Expand the equation.Multiply (distribute) the first numbers of each set, outer numbers, inner numbers, and the last numbers. Combine like terms. Solve the equation and simplify.Thus, the property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.
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Find the volume of this figure.
[?] = cubic units
The volume of the given figure us = 36 cubic units
Volume of a rectangular prismThe formula for calculating the volume of rectangular prism is expressed as:
V =lwh
where
l is the length
w is the width
h is the height
T of the given figure is expressed as:
V = 2(3)(5) + 2(3)(1)
V = 30 + 6
V = 36 cubic units
Hence the volume of the given figure is 36 cubic units
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Find the measure of ∠Z.
Answer:
105+105+2x=360 and x=75
Step-by-step explanation:
z=75
Answer:
Step-by-step explanation:
1/2+1/3+1/6+1/2+1/8+1/4= see problem as an addition problem
Answer:
1 7/8
Step-by-step explanation:
A bag contains 15 white balls and 10 black balls,another contains 20 white balls and 15 white balls.if two balls are drawn without replacement from each bag,find the probability that
a)all four are black
b)exactly one of the four are white
Answer:
exactly one of the four are white
what is the greatest digit formed by 5 6 7 8 and 9
Answer:
98765 is the greatest digit that can be formed using those numbers
How do you solve this: 2x+4+2=7x-6-3?
The answer you are looking for is x=3.
Solution/Explanation:
First, writing out the equation,
2x+4+2=7x-6-3.
Next, simplifying the equation just a little bit more, with the four numbers that do not include the variable "x" at all,
2x+6=7x-9.
Now, subtracting 7x from both sides of the equation,
2x+6-7x=7x-9-7x.
Regrouping the positions of the terms, using the Associative Property,
2x-7x+6=7x-7x-9.
Simplifying, and also, canceling out the 7x, since 7x-7x=0.
2x-7x+6=0-9, or 2x-7x+6=-9.
Simplifying "2x-7x," which is -5x,
-5x+6=-9.
Now, subtracting 6 from both sides,
-5x+6-6=-9-6.
Canceling out the "6," since 6-6=0,
-5x=-9-6.
Solving for "-9-6," which is "-15,"
-5x=-15.
Finally, dividing both sides by "-5,"
-5x/-5=-15/-5.
Simplifying "-5x/-5=-15/-5,"
-5x/-5=x.
And, also, -15/-5=3.
This eventually leads to x=3.
So, therefore, the final answer is x=3.
I hope that this has helped answer your question. Good day to you.
Answer:
The answer is x=3.
Step-by-step explanation:
2x+6=7x-9
-5x=-15
x=3
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. The temperatures of eight different plastic spheres.
The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.
An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.
One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.
Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.
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Simplify the expression below, if a=2/5 and b=-1/6. Leave your answer as a fraction.
10a−5ab+4b
Answer:11/3
Step-by-step explanation:
Which statement compares the two numbers correctly?
Six hundred seventy-two thousandths ________ 0.8
A. Six hundred seventy-two thousandths < 0.8
B. 0.8 < six hundred seventy-two thousandths
C. Six hundred seventy-two thousandths = 0.8
D. Six hundred seventy-two thousandths > 0.8
Answer:
A
Step-by-step explanation:
Six hundred seventy-two thousandths = 0.672
0.672 < 0.8
Find the area of the triangle
Answer:
12.7 m
Step-by-step explanation:
use pythagorean theorem
[tex]13^{2} + b^{2} = 18.2^{2}[/tex]
rounds to 12.73735
not fully sure if that's right
calculate the amount that would remain in an investment account after 3 years if you were to deposit 1500 every month starting today but would withdraw 750 at the end of every 12 month period. interest is 14% compounded monthly
Answer:
58995
Step-by-step explanation:
Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for T.
Answer:
188 units cubed
Step-by-step explanation:
Marvin has 2 rabbits. The number of rabbits triples every year. Marvin needs 100 pounds of food to feed one rabbit per year. How many pounds of food will Marvin need to feed his rabbits during the 3rd year?
Answer:
1200 pound
Step-by-step explanation:
year 1: 2 rabbits
year 2: 2 rabbits x 3 = 6 rabbits
year 3: 6 rabbits x 3 = 12 rabbits
12 rabbits x 100 pounds = 1200 pounds
Explain why each non-zero integer has two square roots but only one cube root.
The human body is 65% oxygen, 18% carbon, and 10% hydrogen. The rest is other
elements. What percent is composed of other elements?
Answer:
7% of composed of other elements
Step-by-step explanation:
you have to add the percentages you have then fi d the missing amount
Answer:
7%
Step-by-step explanation:
65 + 18 + 10 = 83 + 10 = 93
100- 93 = 7
7%
The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 7. Find the probability of observing exactly three accidents on this stretch of road next month.
Select one:
A. 18.147387
B. 2.846161
C. 0.332381
D. 0.052129
Answer:
D
Step-by-step explanation:
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Find m<1 if m<CUB = 78
[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]
[tex]\\ \sf\longmapsto m<1+48=78[/tex]
[tex]\\ \sf\longmapsto m<1=78-48[/tex]
[tex]\\ \sf\longmapsto m<1=30[/tex]
If 5 is equal to 11
And 7 is equal to 15
And 9 is equal to 19
What is 12 equal to ?????
Answer:
25 is the answer because the numbers are in the relation of (×2+1). 5×2+1=11 7×2+1=15 9×2+1=19 12×2+1=25.
How many ways can you make change for 60¢ using only nickels, dimes, and quarters?
There are 13 ways to make change for 60¢ using only nickels, dimes and quarters.
Determination of the number of combinations for a given amount of moneyIn the United States of America, a nickel equals 0.05 dollar, a dime equals 0.10 dollar and a quarter equals 0.25 dollar.
For 0.60 dollar we have the following expression in terms of nickels ([tex]n[/tex]), dimes ([tex]d[/tex]) and quarters ([tex]q[/tex]):
[tex]0.25\cdot q + 0.10\cdot d + 0.05\cdot n = 0.60[/tex], where [tex]q,\,d,\,n \in \mathbb{N}_{O}[/tex] (1)
Since quarters are the money of greatest value, we assume arbitrary quantities and count corresponding solutions, whose representations are included below:
Case 1 ([tex]q = 0[/tex])[tex]n = 12-2\cdot d[/tex] (2)
According to the first graph, there are seven forms in this scenario.
Case 2 ([tex]q = 1[/tex])
[tex]n = 7-2\cdot d[/tex] (3)
According to the graph case_2, there are four forms in this scenario.
Case 3 ([tex]q = 2[/tex])[tex]n = 2- 2\cdot d[/tex]
According to the graph case_3, there are two forms in this scenario.
Hence, there are 13 forms to make change for 60¢ using only nickels, dimes and quarters. [tex]\blacksquare[/tex]
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Is 0.6 a rational number
Answer:
The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.
Answer:
Yes. 0.6 is a rational number.
Which of the following tables represent functions? If the relation is not a function, indicate why it is not.
Step-by-step explanation:
1. the table on the left is a function, with the formula : y = x²
2. the table on the right is also a function, indicated by the values of the input are different each others
While on a walk in the country, you pass a field full of horses and chickens. After a quick count, you determine there are 43 heads and 122 feet in the field. How many of each animal are there?
Horse = x = 1 head and 4 feet
Chicken =y = 1 head and 2 feet
Horse + chicken = x + y = 43 ( total heads)
Horse = 43 - y
4x + 2y = 122
4(43-y) + 2y = 122
Simplify:
172-4y + 2y = 122
Combine like terms
172-2y = 122
Subtract 172 from both sides
-2y = -50
Divide both sides by-2
Y = 25
X + y = 43
X + 25 = 43
X = 18
There are 18 horses and 25 chickens.