What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
UV = 14 ft and m∠TUV = 45°
TU = 26 ft
m∠STU = 37° and m∠VTU = 37°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°
m∠UST = 98° and m ∠TUV = 45°
Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. how many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet?
Answer:
101.8182 pounds.
Step-by-step explanation:
He used 40 pounds of insecticide to cover 1760 square feet of lawn and 60 pounds to cover an additional 2640 square feet. So,
1760 + 2640 = 4400 square feet of lawn with 40+60 = 100 pounds of insecticide. Then, his whole lawn is 4480 square feet andn he already covered 4400, so he need to cover 4480 - 4400 = 80 square feet more.
Now, one of the data given we can do a proportion:
40 pounds to 1760 square feet = [tex]\frac{40pounds}{1760ft^2}[/tex]
x pounds to 80 square feet = [tex]\frac{xpounds}{80ft^2}[/tex]
[tex]\frac{40pounds}{1760ft^2}=\frac{xpounds}{80ft^2}[/tex]
[tex]xpounds*1760ft^2 = 80ft^2*40pounds[/tex]
[tex]xpounds = \frac{80ft^2*40pounds}{1760ft^2}[/tex]
[tex]xpounds = \frac{3200pounds}{1760}[/tex]
[tex]x = 1.8182 pounds.[/tex]
Then, to cover his whole lawn of 4480 square feet he needs 100+1.8182 = 101.8182 pounds of insecticide.
The line parallel to y=9x+4 that passes through (2,7)
The equation of the line parallel to y=9x+4 that passes through (2,7) is y = 9x - 11
The equation of a line in point-slope form is expressed as:
y - y0 = m(x-x0)
m is the slope of the line
(x0, y0) is any point on the line
Given the equation y = 9x + 4, the slope of the line is expressed as:
mx = 9x
m = 9
We will use the same slope since the lines are parallel
Substitute the slope and the given point into the formula;
y - 7 = 9 (x -2)
y - 7 = 9x - 18
y = 9x -18 +7
y = 9x - 11
Hence the equation of the line parallel to y=9x+4 that passes through (2,7) is y = 9x - 11
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Evaluate 1/4c + 3d when c = 6 and d = 7
Plz help! :p
The tables below show the values of y corresponding to different values of x:
Table A
x 3 3 2
y 1 0 0
Table B
x 3 5 5
y −2 2 −2
Which statement is true for the tables?
Both Table A and Table B represent functions.
Both Table A and Table B do not represent functions.
Table A does not represent a function, but Table B represents a function.
Table A represents a function, but Table B does not represent a function.
Answer:
Table A represents a function but Table B does not represent a function.
Step-by-step explanation:
Suppose that you are headed toward a plateau 19.3 meters high. if the angle of elevation to the top of the plateau is 29.5 degrees, how far are you from the base of the plateau?
What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ?
Enter your answer in the box.
To solve this, we simply have to get the length and the width. Based from the graph, we can see that the length is connected by 2 points (-12, 2) and (6, 2) or (-20, -3) and (-2, -3). The height between the two lengths is 5 which can be counted manually.
We use the distance formula to calculate the length from either pair of points.
length^2 = [(-12 – 6)^2 + (2 – 2)^2]
length = 18
Therefore the area is:
Area = length * height
Area = 18 * 5
Area = 90
Which of the following equations represents a line that is perpendicular to the line that passes through the points below?
(-8, -10) (-6, -2)
Thank you!
By calculating the slope of the line passing through the given points to be 4, the slope of any line perpendicular to this would have the opposite reciprocal, -1/4. Without a specified point for the line to pass through, (0,0) is used and the equation of the perpendicular line is y = -1/4x.
Explanation:The first step to finding a line perpendicular to another is understanding the concept behind the slope of a line. The slope of a line is determined by comparing the vertical change (rise) to the horizontal change (run) between two points on a line.
For the points (-8, -10) and (-6, -2), the slope would be calculated as follows: (change in y)/(change in x), which in this case would be (-2 - (-10))/(-6 - (-8)). Simplifying that expression gives us a slope of 4.
The opposite reciprocal of 4 is -1/4 (we flipped the fraction and changed the sign). This is the slope of all lines perpendicular to the original line.
Lastly, for the equation of a line, we need a point for the line to pass through, since the question didn't specify a point, we can use (0,0), so the equation of our perpendicular line is y = -1/4x.
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If h(x) = 3x −7, find h(4). Show all work for credit!
Which equation in point-slope form contains the points (8, 10) and (–4, 2)?
The equation in point-slope form containing the points (8, 10) and (-4, 2) is y - 10 = (2/3)(x - 8).
Explanation:The point-slope form of a linear equation is given by where (x1, y1) represents the given point and m represents the slope. To find the equation in point-slope form containing the points (8, 10) and (-4, 2), we need to calculate the slope first. The slope m can be calculated using the formula m = (y2 - y1) / (x2 - x1).
Using the given points (8, 10) and (-4, 2), we can substitute the values into the formula to find the slope:
Now that we have the slope, we can use one of the given points to write the equation in point-slope form. Let's use the point (8, 10):
What is 1 / (0! - 1!)
How many complex roots does the polynomial equation have? 3x^5−2x+1=0
Answer:
The polynomial equation has 5 complex roots.
Step-by-step explanation:
To the nearest square unit what is the area of the regular octagon shown below
Answer: c
Step-by-step explanation: a p e x
The area of the given Octagon is 1,086 units²
What is an Octagon?A polygon of eight angles and eight sides is called an Octagon.
Given is a figure of an Octagon, having radius = 18.1 units and side length = 15 units.
The regular octagon is divided into 8 triangles
Therefore, the area of a regular octagon = the sum of the area of 8 triangles
The area of a triangle = 1/2(base)(height)
Here, base = 15 units and length = 18.1 units
Therefore, the area of a regular octagon = 1/2×15×18.1×8 = 1,086
Hence, The area of the given Octagon is 1,086 units²
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Zeke ran 4 miles in 45 minutes. if he keeps up the same pace, how long will it take him to run 10 miles?
Final answer:
Zeke's pace is approximately 5.33 miles per hour. To run 10 miles at this pace, it will take him about 113 minutes.
Explanation:
To solve how long it will take Zeke to run 10 miles at the same pace, we need to establish his running speed. We know that Zeke ran 4 miles in 45 minutes, which we can convert to hours for simplicity. Since there are 60 minutes in an hour, this is ⅔ of an hour. So, Zeke's pace is 4 miles per ⅔ hour, or 4 miles per 0.75 hours, which is ≈ 5.33 miles per hour.
Now, we use this pace to determine how long it will take him to run 10 miles. If Zeke runs at a pace of 5.33 miles per hour, then we can calculate the time for 10 miles by dividing the distance by the speed:
Time = Distance ÷ Speed
Time = 10 miles ÷ 5.33 miles/hour
Time ≈ 1.88 hours
Since we want the time in minutes, we multiply by 60 minutes per hour:
1.88 hours × 60 minutes/hour ≈ 112.8 minutes
So, it would take Zeke approximately 113 minutes to run 10 miles at the same pace.
When you calculate the sample mean, you divide the sum of the values in the sample by..?
The sample mean is calculated by adding up all the values in a sample and then dividing this total by the number of values in the sample.
Explanation:When you calculate the sample mean, you divide the sum of the values in the sample by the number of values in that sample. For instance, if your sample contains the values 2, 4, and 6, you would add all these values together to get 12. Then, you would divide this total by 3, because there are three values in your sample. This would give you a sample mean of 4.
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Evaluate the function rule for the given value.
y= 4 X 2^x for x = –6
A: 1/16
B: -48
C: 1/8
D: 1/32
what number is 8.2% of 50
kelly subscribes to a service called mysongs for downloading music she pays a $7 fee each month to download an unlimited numbers of songs at $0.20 each last month kelly's bill was $23.80
subtract the fee from the total to get the amount actually spent on songs
23.80-7 = 16.80
divide that amount by price per song to get number of songs downloaded
16.80 /0.20 = 84 songs
A car Travel 476 miles on 14 gallons of gas. Write an eqation relating the distance d to the nuber of gallons
g. How mmany travel 578 miles
Ms. Wilson works at a music store. On Black Friday she sold 6 more than 3 times the number of CDs she sold on Cyber Monday. Ms. Wilson sold a total of 110 CDs on Black Friday and Cyber Monday. How many CDs did she sell on each day?
show the picture
please
In your top dresser drawer are 6 blue socks and 10 grey socks, unpaired and mixed up. one dark morning you pull two socks from the drawer (without replacement, of course!). what is the probability that the two socks match?
An investment of $7,650 earns interest at the rate of 5% and is compounded quarterly. What is the accumulated value of the investment at the end of 9 years?
a.
$11,964.17
b.
$11,867.66
c.
$9,338.56
d.
$8,554.94
Answer:
$11,964.17
Step-by-step explanation:
The space between the text and the top, bottom, left and right edges of the paper are called?
The space between text and the edges of the paper is known as margins. These are essential for creating visually pleasing documents and providing space for binding or notation. They are adjustable in text-editing software.
Explanation:The space between the text and the top, bottom, left, and right edges of the paper is known as margins. They are essential in creating a visually pleasing document while offering a significant area for binders or for allowing readers to make notes. For example, in Microsoft Word or other text-editing software, you can adjust the size of the margins under the 'Page Setup' option.
As an additional point, 'the distance between the plates', 'the area', 'the length of a side', and both 'the area and the length of a side' are related to the geometry and physics field. These phrases are typically used when discussing measurements in these subjects, but they don't directly relate to this specific question about margins.
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2(2t+4)=34(24−8t). My math teacher is on crack
Calculate dy/dx if y = Ln (2x3 + 3x).
Differentiate using the chain rule:
d/du [ln(u)] d/dx[2x^3+3x]
derivative of ln(u) = 1/u
1/u d/dx[2x^3+3x]
1/2x^3+3x d/dx[2x^3+3x]
Differentiate
(6x^2+3) 1/2x^3+3x
Simplify
Dy/dx = 3(2x^2+1) / x(2x^2 +3)
Answer:
[tex]\frac{(6x^2+3)}{(2x^3+3x)}[/tex]
Step-by-step explanation:
[tex]\frac{dy}{dx}[/tex] [tex]ln(x)=[/tex] [tex]\frac{1}{x}[/tex] .
Therefore:
[tex]\frac{dy}{dx}[/tex] [tex]ln(2x^{3}+3x) = \frac{1}{2x^{3}+3x} *6x^2+3[/tex]
[tex]6x^2+3[/tex] is multiplied because of the chain rule.
Which of the following number lines represents the solution set of 11 + x ≥ 14?
Answer:
The line that represents the solution set of [tex]11+x\geq 14[/tex] is the second one.
Step-by-step explanation:
If we want to find the line, we need to solve the inequality.
The inequality is [tex]11+x\geq 14[/tex]
If we solve it in terms of x :
[tex]11+x\geq 14[/tex]
[tex]x\geq 14-11[/tex]
[tex]x\geq 3[/tex]
This means that the solution of the inequality [tex]11+x\geq 14[/tex] are all real numbers greater or equal to 3.
The line that represents [tex]x\geq 3[/tex] is the blue line in the second number line.
It is important to notice that [tex]x>3\neq x\geq 3[/tex] because in the second expression the number 3 is included.
In the second line the number ''3'' is included because there is a blue point in the number 3 instead of the first number line where in the number ''3'' the blue point is empty.
Factor? for 6xy−3x−8y+4
A number or algebraic expression that divides another number or expression evenly is factor. (2y-1) and (3x-4) are factors for 6xy−3x−8y+4.
What are factors?a number or algebraic expression that divides another number or expression evenly is called factor.
We need to find factors for 6xy−3x−8y+4.
The given expression is
6xy -3x -8y +4
Take common terms
3x (2y - 1 ) - 4 (2y -1)
(2y-1) (3x-4)
Therefore the factors are (2y-1) (3x-4) for 6xy−3x−8y+4.
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A bowl holds 3/10 cup of oil when it is 2/5 full. Which statement best describes the quotient of 3/10 divided by 2/5?
The maximum amount of oil the bowl can hold is Fraction 3 over 4 cup.
The maximum amount of oil the bowl can hold is Fraction 4 over 3 cups.
The amount of oil that can be still poured in the bowl is Fraction 3 over 4 cup.
The amount of oil that can be still poured in the bowl is Fraction 4 over 3 cups.
Answer:
3/4 cups
Step-by-step explanation:
How do you solve for percent increase and percent decrease?
for increase:
Increase = New Number - Original Number
Then divide the increase by the original number and multiply the answer by 100
For decrease:
Decrease = Original Number - New Number
Then divide the decrease by the original number and multiply the answer by 100
Julia did a survey in four butterfly parks and wrote the following observations:
Butterfly Park Survey
Park Number of Blue Butterflies Total Number of Butterflies
P 21 82
Q 40 86
R 11 63
S 38 58
Based on the survey, which park had the greatest percentage of blue butterflies?
Park P
Park Q
Park R
Park S
Answer with Step-by-step explanation:
Percentage of blue butterflies in any park
=[tex]\dfrac{number\ of\ blue\ butterflies\ in\ that\ park}{total\ butterflies\ in\ that\ park}\times 100[/tex]
Percentage of blue butterflies in park P
=[tex]\dfrac{21}{82}\times 100[/tex]
=25.61 %
Percentage of blue butterflies in park Q
=[tex]\dfrac{40}{86}\times 100[/tex]
=46.51%
Percentage of blue butterflies in park R
=[tex]\dfrac{11}{63}\times 100[/tex]
=17.46%
Percentage of blue butterflies in park S
=[tex]\dfrac{38}{58}\times 100[/tex]
=65.52%
Hence, park which had the greatest percentage of blue butterflies is:
Park S