Answer:
Perimeter = 4(√2 + √5) units
Step-by-step explanation:
Given:
Quadrant of 4 points;
A(3, 5) B(1, 3) C(3, -1) D(5, 3)
Find:
Perimeter
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between AB = √(3 - 1)² + (5 - 3)²
Distance between AB = √4 + 4
Distance between AB = 2√2 units
Distance between BC = √(1 - 3)² + (3 + 1)²
Distance between BC = √4 + 16
Distance between BC = 2√5 units
Distance between CD = √(3 - 5)² + (-1 - 3)²
Distance between CD = √4 + 16
Distance between CD = 2√5 units
Distance between DA = √(5 - 3)² + (3 - 5)²
Distance between DA = √4 + 4
Distance between DA = 2√2 units
Perimeter = sum of all sides
Perimeter = 2√2 + 2√5 + 2√2 + 2√5
Perimeter = 4√2 + 4√5
Perimeter = 4(√2 + √5) units
1) rotation 180° about the origin
Answer:
Q (0,1) H (3,5) J (5,3)
Step-by-step explanation:
Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.
(x,y) becomes (-x,-y).
So, (0, -1) becomes (0,1).
(-3,-5) becomes (3,5).
And, (-5, -3) becomes (5,3).
Answer: Here you go, hope this helps.
Step-by-step explanation:
You buy a new backpack that costs $62.00. The sales tax is 6.5%. What is the total amount you need to pay, including tax?
Answer:
$66.03 in total.
Step-by-step explanation:
$66.03 because 6.5% is 0.065 and $62.00 times 0.065 equals $4.03. $62.00 plus $4.03 is $66.03.
1.
Solve and show your work for each question.
a.
What is 0.454545repeating expressed as a fraction in simplest form?
b. What is 0.455555repeating expressed as a fraction in simplest form?
C.
What is 0.45 expressed as a fraction in simplest form?
Answer:
Step-by-step explanation:
0.454545
i think
HIGH POINTS)Please help! (20 points)
Answer:
What the other person said
Step-by-step explanation:
PLSSS HELP (4x - 1)
(3x)
Answer:
x = 13
Step-by-step explanation:
3x + 4x-1 +90 = 180
7x = 91
x = 13
How do you simplify (3a^2b) /(5ac) x (10c) /(6ab) given that A, B, C does not equal to 0?
Answer:
1Step-by-step explanation:
(3a²b) /(5ac) x (10c) /(6ab) = (3ab)/(5c) × (5c)/(3ab)1Answer:
solution given:
(3a^2b) /(5ac) x (10c) /(6ab)
[tex] \frac{3a {}^{2}b }{5ac} \times \frac{10c}{6ab} \\ \frac{3ab \times 10c}{5c \times 6ab} \\ \frac{2}{2} \\ 1[/tex]
1 is your answer
What is the answer please help no links I will report
Answer choices
35%
48%
52%
Answer:
Step-by-step explanation:
T-Ball 52% Soccer 48% Basketball 35%
Rewrite the following as a multiplication and use an array to write it in standard form (15m + 24) ÷ 3.
Answer:
5m + 8
Step-by-step explanation:
Dividing by 3 is the same as multiplying by 1/3.
1/3 (15m + 24)
Distribute the 1/3
1/3 * 15m = 5m
1/3 * 24 = 8
5m + 8
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample values, x_ = 33.2hg, and s = 2.9 hg?
Answer:
Step-by-step explanation:
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level.
The confidence interval of mean
=32.9 ± 1.96 × 6.9/250
Confidence Interval = 32.9 ± 0.5382
The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool
Answer:
59m
Step-by-step explanation:
Length= 3 × ( width)
But perimeter= 2width + 2 Lenght= 472
Let length= X
Width= Y
X= 3Y.........eqn(1)
2X + 2Y= 472........eqn(2)
Substitute X= 3Y in eqn(2)
2(3Y) + 2Y = 472
6Y + 2Y= 472
8Y= 472
Y= 59 m
Hence, the width of the pool is 59 m
write an equation for the nth term of the arithmetic sequence. Then find a40.
1/4,1/2,3/4,1,...
Answer:
The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]
a40 = 10
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The nth term of a sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
1/4,1/2
This means that:
[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]
1/4
This means that [tex]a_1 = \frac{1}{4}[/tex]
The nth term is:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]
Then find a40.
[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]
So
a40 = 10
Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...
Answer:
44x + 54
Step-by-step explanation:
The nth term of an arithmetic sequence is given by :
Tn = a + (n - 1)d
d = common difference = T2 - T1
d = T2 - T1
a = first term = - x + 9
d = 4x + 14 - (-x + 9)
d = 4x + 14 + x - 9
d = 5x + 5
The 10th term:
T(10) = (-x + 9) + (10 - 1)*(5x + 5)
T(10) = - x + 9 + 9(5x + 5)
T(10) = - x + 9 + 45x + 45
T(10) = 44x + 54
Hence, the 10th term is 44x + 54
Charlie took a test with two parts; Reading with 60 questions and Math with 40 questions. He scored 55% on the Reading part and 90% on the Math part. What is his overall percentage score, assuming each of the 100 questions has equal weight?
Answer:
10
Step-by-step explanation:
The sales tax in your city is 8.8% and an item cost $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
Answer:
5.54 in tax
Step-by-step explanation:
63 x .088=5.54
Help I would love to give you a thanks
Answer:
Formula
Step-by-step explanation:
Answer:
formula because it gives you the number and tells you what to do.
Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0
the Equation A. r²+ y² = 5 degenerate the circle.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Only option A, r²+ y² = 5
Satisfies the general equation of the line,
thus, From option A the coordinates of the circle on the plane r-y
is (0, 0) and the radius of the circle will be √5.
From option B, x+y=7
It is the equation of the line.
From option C, x² + y² = -2
The sum of two squares can not be negative so it is not a real equation
From equation D, (x - 5)²+(y - 3)² = 0
The radius of a circle can not be zero otherwise it will become a point.
therefore, the Equation A. r²+ y² = 5 degenerate the circle.
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Complete question:
Which of the following is a degenerate circle?
O A. r²+ y² = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)² = 0
If you are facing South-west, you should turn ______degree anti-clockwise to face North ?
Answer:
You should turn 225 degrees anti-clockwise to face North.
The radius is 15 cm what is the area
Answer:
A = 225 π c m [tex]x^{2}[/tex]
Step-by-step explanation:
the area of a circle formula with radius
A = π r[tex]x^{2}[/tex]
in this case
A = π × 15[tex]x^{2}[/tex]
A = 225 π c m[tex]x^{2}[/tex]
Answer:
Step-by-step explanation:
Area of a circle = π r² you are given the r radius = 15cm
area = π 15² cm
A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
54
Step-by-step explanation:
216 - 3x = 324 -5x
subtract 216 from both sides
add 5x to both sides
divide both sides by 2x.
please help!!!
Can you use Pythagorean Theorem to find the missing side of this triangle? Why or why not?
Answer and Explain, please.
Answer:
No, Pythagorean Theorem can't be used here for finding the missing sides of the triangle.
Because Pythagorean Theorem is used in triangles having one of its sides right angled but here in the diagram non of the sides of the triangle are right angled .
Answer:
NO
Because pythagorean Theorem is used to find the missing side in the triangle if the other sides are there
Find the slope of a line that goes through the points (5,-2) and (1,0).
A. 1/2 B. - 1/2 C. 2 D. -2
Answer:
B(-1/2)
Step-by-step explanation:
So remember, the slope is y2-y1/x2/x1. Note that y2 means the second y adn x2 means the second x.
So lets plug in our numbers for the top of our fraction, y2-y1. This is 0- - 2.
You should get postive 2, since -- equals a + so it would be 0+2 equaling 2.
This is your y value of your slope.
Next lets find the x value of the slope.
Lets plug in our numbers for the bottem raction this time, which is x2-x1. This is 1-5.
You should get negative 4, since 1-5 equals -4.
This is the x value of the slope.
Knowing your y and x value of the slope, we can tell that the slope will be:
2/-4
This can be simplyfied to -1/2. Since 2 goes into 2, 1 time(for y). Then 2 goes into -4, -2 times(for x). So now its 1/-2.
The negative sign can just be moved to the front since it is the only negative and does not change:
Answer:
-1/2
here's the question
Convert the decimal 0.07 to a fraction.
Answer:
7/100
Step-by-step explanation:
two decimal places so 100
How do I evaluate:
(-1000)1/3
9514 1404 393
Answer:
-10
Step-by-step explanation:
The first step is to write what you mean. We think you mean (-1000)^(1/3).
If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...
-1000 = (-10)^3
Then your expression is ...
(-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10
__
Some calculators can evaluate this for you (see attached).
Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:
(-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10
_____
Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.
Find the equation of the line shown.
The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
Given that,
Graph of the equation of the line shown in the image.
Use the formula,
The equation of a line in point-slope form passing through the points
[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Let us take two points on the graph, which are (4, 1) and (0, 2).
Here, [tex](x_1 , y_1) = (4, 1)[/tex]
And, [tex](x_2 , y_2)= (0, 2)[/tex]
So, the slope of the line is,
[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]
[tex]m = \frac{1}{- 4}[/tex]
[tex]m = \frac{-1}{4}[/tex]
Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
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A woman leaves home and walks 3 mi. west, and then 4 mi. south. What is the magnitude of her displacement? Note: they are not asking you to add how far she went west and south. They are asking how far she is from home if she went directly back. Think of a triangle.
Answer:
5 milesStep-by-step explanation:
The route makes a right triangle with legs 3 mi and 4 mi, and the hypotenuse of x mi.
Use Pythagorean to find the distance:
x = [tex]\sqrt{3^2 + 4^2}[/tex] x = [tex]\sqrt{25}[/tex]x = 5 milesVector Review Practice Answers:
1. B - initial (14,-5); terminal (0,0)
2. A - sqrt(22^2 + 4^2)
3. B - <4,12>
4. D - Yes, the two vectors have the same magnitude and direction.
5. D - Vectors u and v are neither because the angle between the two vectors is not equal to 0 degrees, 90 degrees, or 180 degrees
6. C - approximately 4 mi. at a direction angle of 56 degrees northeast
7. A - approximately 174 mph at a direction angle of 58 degrees northeast
8. A - -200
9. D - W = 59 ft*lbs
10. C - u = 4/5i - 3/5j
What is a six sided shape called?
Answer:
hexagon
Step-by-step explanation:
In Winter of 2020 there were 20 total inches of snow. In Winter 2021 there were 38 total inches of snow. What was the percer
increase in inches of snow from 2020 to 2021?
To find the answer, you need to subtract the total inches of snow in 2021 by the total inches of snow in 2020.
So 38 -20= 18
Therefore, from 2020 to 2021. The snow increased by 18 inches.
Hope this helped!
4 1/2 times 2 2/5 times 3 3/4 equals
Answer:
[tex] 40 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]
[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]
[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]
[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]
[tex] = \dfrac{81}{2} [/tex]
[tex] = 40 \frac{1}{2} [/tex]
Answer:
4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5
Hope this helps!
A loss of $13.50 on a washing machine represents 15% loss on the selling price. what is the selling price?
Answer:
$90
Step-by-step explanation:
Given data
Given data
Loss= $13.5
Percentage of the loss= 15%
Let the full loss be x
Hence we can find the value of x as
15/100*x= 13.5
0.15x= 13.5
divide both sides by x
x= 13.5/0.15
x= $90
Hence the loss in full is $90
