What is the area of this triangle in the coordinate plane? 25.0 units²
27.5 units²
50.0 units²
55.0 units²
Answers
using the formula
The base is 10 and the height is 5
the base is 11 (I think I make no mistake), and the height is 5.
Related Questions
what the circumstances of a circle with a diameter of 12ft
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I have seen a circle about that size used for a labyrinth at a church.
Circumference is found by multiplying the diameter by pi.
(12 ft)*π ≈ 37.7 ft
help!
Twenty seventh grade students are polled about which of three ice cream flavors they prefer. If one student is picked at random, which of the following tables represents vanilla as an event that is likely?
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B would be the answer, because, as you can see, B's rate in vanilla is much higher than any of the other charts, and the difference between each number on the chart is greater as well.
Hope this helps!
How many pennies are in $578
Answers
578 x 100 = 57,800
57,800 pennies
wade is 6 years older than Mariah in 8 years the sum of their ages will be 80 how old is Wade now
Answers
Wade:35
Mariah:29
(35+8)+(29+8)=80
35-29=6
The coordinates of the vertices of trapezoid EFGH are E(-8, 8), F(-4, 12), G(-4, 0), and H(-8, 4). The coordinates of the vertices of trapezoid E’F’G’H’ are E’(-8, 6), F’(-5, 9), G’(5, 0), and H’(-8, 3).
Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E’F’G’H’?
a) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions.
b) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions
c) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions
d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.Answers
Answer:
D
Step-by-step explanation:
1) We have and isosceles trapezoid DEFG and and another trapezoid D'E'F'G' dilated.
2) E'F'G'H' is not congruent to EFGH (due to its legs) Besides that, E'F'G'H has undergone not to rigid motions. Rigid motions are better known as translations and rotations and they preserve length and angles. That was not the case.
(Check graph 2)
3) So it's d, the only correct choice:
d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.
What is the volume of a sphere with a radius of 5 cm
Use 3.14 for pie
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3 2/3 + 7 1/5 simplify if possible
Answers
[Change the denominator to be the same]
= 3 10/15 + 7 3/15
[Add them]
= 10 13/15
2 times 2 plus 10 plus 200 plus 56
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The order of operations requires the multiplication be done first.
= 4 + 10 + 200 + 56
The addition is done left to right.
= 14 + 200 + 56
= 214 + 56
= 270
Answer:
270
Step-by-step explanation:
2*2+10+200+56=270
Find the product identify the two whole numbers between which the product lies 7x 8/10?
Answers
Let's first simplify this product to see which two whole numbers it lies between. Remember, when we multiply fractions, we just multiply straight across. We have:
7/1 * 8/10 = 56/10
Now, we have to make it an improper fraction. 56 divided by 10 is 5 remainder 6, so we have:
5 6/10 = 5 3/5
Therefore, since it's after 5 but not 6, it's between 5 and 6. Hope this helps!
Gabriela buys a basketball for $78 and a soccer ball for $32 she must pay 8.5% sales tax. What is the total amount she must pay?
Answers
Add the costs of the basketball and the soccerball together:
78 + 32 = 110
Next, Gabriella must pay 8.5% sales tax. Sales tax is money collected by the government, so it is added onto the purchase.
First, we must find what 8.5% of 110 is. To do that, convert the percentage to a decimal by dividing it by 100, then multiply the total cost of the two balls by the decimal.
8.5% ÷ 100 = 0.085
110 × 0.085 = 9.35
Finally, add the sales tax to the cost of the two balls:
110 + 9.35 = 119.35
ANSWER:
The total amount Gabriella will pay is $119.35.
Final answer:
To find the total amount Gabriela must pay for the basketball and soccer ball including sales tax, add the cost of the items, convert the tax rate to a decimal, calculate the tax amount, and then add it to the subtotal for a total of $119.35.
Explanation:
To calculate the total amount Gabriela must pay after purchasing a basketball for $78 and a soccer ball for $32 with an 8.5% sales tax, we need to follow these steps:
Firstly, we calculate the subtotal by adding the price of the basketball and the soccer ball: $78 + $32 = $110.
Next, we convert the sales tax rate from a percentage to a decimal by dividing by 100: 8.5% ÷ 100 = 0.085.
Then, we calculate the total sales tax by multiplying the subtotal by the sales tax rate: $110 × 0.085 = $9.35.
Lastly, we add the sales tax to the subtotal to find the total amount Gabriela must pay: $110 + $9.35 = $119.35.
Therefore, after including the sales tax, the total amount Gabriela must pay is $119.35.
The standard form of the equation of a circle is (x−5)2+(y−6)2=1.
What is the general form of the equation?
x2+y2−10x−12y+60=0
x2+y2−10x−12y−62=0
x2+y2+10x+12y+62=0
x2+y2+10x+12y+60=0
Answers
Answer:
(A)[tex]x^2+y^2-10x-12y+60=0[/tex]
Step-by-step explanation:
The standard form of the equation of a circle is given as:
[tex](x-5)^2+(y-6)^2=1[/tex]
Simplifying the above given equation, we get
[tex]x^2+25-10x+y^2+36-12y=1[/tex]
[tex]x^2+y^2-10x-12y+36+25=1[/tex]
[tex]x^2+y^2-10x-12y+61=1[/tex]
[tex]x^2+y^2-10x-12y+60=0[/tex]
which is the required general form of the equation.
Hence, option A is correct.
morgan cut exactly 35 strips of wood from a larger piece of wood.Each strip of wood was 2.45 centimeters long.How long was the larger piece of wood?
Answers
So, Morgan cut a large piece of wood into 35 smaller strips of wood. Each strip was 2.45 centimetres long. Mutliply:
35 × 2.45 = 85.75
ANSWER:
The larger piece of wood was 85.75 centimetres long.
The larger piece of wood was 85.75 centimeters long based on multiplying the number of strips by the length of each strip.
To find out how long the original piece of wood was, we need to multiply the number of strips by the length of each strip.
Given:
Number of strips: 35
Length of each strip: 2.45 centimeters
Step-by-Step Solution:
Multiply the number of strips by the length of each strip to get the total length: 35 strips * 2.45 cm = 85.75 cmTherefore, the larger piece of wood was 85.75 centimeters long.
If a number is divisible by 2, then it is even. What is the inverse of this statementWhat is the inverse of this statement?
If a number is divisible by 2, then it is not even.
If a number is not divisible by 2, then it is not even.
If a number is not divisible by 2, then it is even.
If a number is even, then it is divisible by 2.
Answers
The inverse of the statement "If a number is divisible by 2, then it is even" is "If a number is not divisible by 2, then it is not even." According to logical operations in mathematics, an inverse involves both swapping and negating the components of the original statement.
Explanation:In the field of mathematics, the inverse of a statement swaps both the hypothesis and the conclusion, and applies a negation to them. The original statement given is, "If a number is divisible by 2, then it is even". The inverse of this statement switches and negates the components, resulting in: "If a number is not divisible by 2, then it is not even". Therefore, the second provided option is the correct one.
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Yul and Sarah's art class started at 11:25 A.M.The class lasted 30 minutes. Yulieft when the class was done. Sarah stayed an extra 5 minutes to talk with the teacher and then left. Write the time that each student left.Explain how you found each time.
Answers
We know that class lasts 30 minutes.
First of all, let's find the time class ends.
11:25 AM (class starts) + 00:30 (minutes) = 11:55 AM (class ends)
Let's start with Yul's time first.
We know that Yul left when class was done, the time was already calculated when we added the time the class started with the time the class lasted and we got (in the previous line) 11:55 AM was when class ended, therefore, Yul left at 11:55 AM.
Sarah stayed an extra 5 minutes.
Class ended 11:55 AM. Simply add 5 minutes (00:05) to 11:55 AM.
11:55 AM (time class ended) + 00:05 (extra time to talk with the teacher) = 12:00 PM. Therefore, Sarah left at 12:00 PM.
As stated in the beginning of this problem, each hour only lasts 60 minutes, not 100 minutes, so every time the minutes are at the 60 tick mark, a new hour starts (in this case, 12:00 PM).
Yul left at 11:55 AM.
Sarah left at 12:00 PM.
Yul left the class at 11:55 A.M. after it ended, having added 30 minutes to the start time. Sarah stayed for an extra 5 minutes, which implies she departed at 12:00 P.M.
Yul and Sarah's art class started at 11:25 A.M. and it lasted 30 minutes. To find out when Yul left, we simply add 30 minutes to the starting time. Starting at 11:25 A.M., after 30 minutes, it will be 11:55 A.M. That's when Yul left the class.
Sarah stayed an additional 5 minutes after the class to talk with the teacher. So, we add those 5 minutes to the time Yul left, which was 11:55 A.M. If we add 5 minutes to 11:55 A.M., it becomes 12:00 P.M. Therefore, Sarah left the class at noon.
Write the equation in standard form for the circle passing through ( - 1,3) centered at the origin.
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well, the radius is the distance from the center to any point on the circle, it just so happen that -1, 3 is on it, so then
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& 0~) % (c,d) &&(~ -1 &,& 3~) \end{array}~~~ % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ r=\sqrt{(-1-0)^2+(3-0)^2}\implies r=\sqrt{(-1)^2+3^2}\implies r=\sqrt{10}\\\\ -------------------------------[/tex]
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{0}{ h},\stackrel{0}{ k})\qquad \qquad radius=\stackrel{\sqrt{10}}{ r} \\\\\\ (x-0)^2+(y-0)^2=(\sqrt{10})^2\implies x^2+y^2=10[/tex]
Final answer:
The standard form equation of a circle centered at the origin and passing through (-1,3) is x² + y² = 10, where √10 is the radius of the circle calculated using the distance formula.
Explanation:
To write the equation of a circle in standard form that is centered at the origin and passes through the point (-1,3), you first need to calculate the radius using the distance formula. The distance formula is √((x2-x1)² + (y2-y1)²), where (x1, y1) is a point on the circle and (x2, y2) is the center of the circle. Since the circle is centered at the origin, (0,0), we can compute the radius as follows:
Radius = √((-1 - 0)² + (3 - 0)²) = √(1 + 9) = √10
The standard form of the equation for a circle centered at (h, k) with a radius r is:
(x - h)² + (y - k)² = r²
Since our circle is centered at the origin, h = 0 and k = 0, and the radius r = √10, the equation becomes:
x² + y² = 10
What is the first derivative of 3\sqrt[3]{x^4}-12\sqrt[3]{x}?
Answers
vita wants to center a towel bar on her door that is 27 1/2 inches wide . she determines that the distance from each end of the towel bar to the end of the door is 9 inches. write and solve an equation to find the length of the towel bar
Answers
The length of the towel bar is 9.5 inches.
Explanation
Suppose, the length of the towel bar is [tex]x[/tex] inches.
The distance from each end of the towel bar to the end of the door is 9 inches. So, the total width of the door will be: [tex][x+(9*2)] = (x+18)inches[/tex]
Given that, the width of the door is [tex]27\frac{1}{2}[/tex] inches or 27.5 inches. So, the equation will be........
[tex]x+18=27.5\\ \\ x=27.5-18= 9.5[/tex]
Thus, the length of the towel bar will be 9.5 inches.
Final answer:
Vita can center the towel bar on her 27 1/2-inch wide door by ensuring it is 9.5 inches long. This is done by deducting the combined distances from the ends of the towel bar to the door edges (18 inches) from the total width of the door.
Explanation:
Vita wants to find the length of the towel bar that she wants to center on a door that is 27 1/2 inches wide, with the distance from each end of the towel bar to the end of the door being 9 inches. To solve for the length of the towel bar, we denote the length of the towel bar by x. Then, we can set up an equation where the sum of the distances from both ends of the towel bar to the door edges and the length of the towel bar itself equals the width of the door.
The equation will be:
9 inches + x + 9 inches = 27 1/2 inches
We combine the known distances to simplify the equation:
18 inches + x = 27 1/2 inches
To find x, we subtract 18 inches from both sides of the equation:
x = 27 1/2 inches - 18 inches
Converting 27 1/2 inches to a decimal, we have 27.5 inches. Thus:
x = 27.5 inches - 18 inches
x = 9.5 inches
Therefore, the length of Vita's towel bar should be 9.5 inches long to be centered on her 27 1/2-inch wide door.
if m/\a =150 and /\ a and /\b at supplementary, what is m/\ b
Answers
now, we know that ∡a = 150°, and we also know that
∡a + ∡b = 180
150 + ∡b = 180
∡b = 180 - 150.
one inch equals to 2.54 cm. Write an equation for the length x, in inches, that equals to 15 cm
Answers
Final answer:
To convert 15 cm to inches, use the conversion factor 1 inch = 2.54 cm and set up a proportion. Solve for x to find that 15 cm is approximately equal to 5.91 inches.
Explanation:
To write an equation for the length x, in inches, that equals to 15 cm, we can use the conversion factor 1 inch = 2.54 cm. We can set up a proportion to solve for x:
1 inch/2.54 cm = x inch/15 cm
Cross multiplying, we get:
2.54x = 15
Dividing both sides by 2.54, we find that x = 5.91 inches.
A woman borrows $6,000 at 9% compounded monthly, which is to be amortized over 3 years in equal monthly payments. for tax purposes, she needs to know the amount of interest paid during each year of the loan. find the interest paid during the first year, the second year, and the third year of the loan. [hint: find the unpaid balance after 12 payments and after 24 payments.
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Sandy is driving cross country. She has covered 200 miles from the east coast towards the west coast. She has driven this distance in 2 days.
If Sandy continues to drive at this rate, which equation represents the total number of miles , m, she would cover in d more days?
A
m=2d
B
m=100d+200
C
m=300d
D
m=200d+100
Answers
Hope this helps you
What is 36j + j
please help and explain if you can!!! :)
Answers
Explanation.
You could translate this sum into a normal sebtence: I have 36 apples and add 1 apple more.
The sum will then be 36 apples + apple = 37 apples.
Replacing the word (in this explanation 'apple') by a letter learns us 36a + a = 37a
Hence 36j + j = 37j
this picture shows a magnified view of a tick on a penny. about how long is the tick
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Find the odds in favor of rolling a two of a kind when rolling a pair of dice
5 to 1
3 to 1
1 to 5
1 to 3
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A 8920 note is signed for 160 days at a rate of 6.5% find the proceeds
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If the note is dicounted, the proceeds will be 8920 less the interest due.
.. P(1 -rt)
.. = 8920*(1 -0.065*160/360) = 8662.31
The proceeds on a discounted note are $8662.31.
_____
If "exact" interest is used, then t=160/365 and the proceeds are 8665.84.
This is a 5th grade Math Problem. Please help.
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Each morning, the employees in an office drink at least 73 cups of coffee. Write an inequality that represents this situation. Let c represent the number of cups of coffee.
An inequality is???????
Answers
73 less than equal C
73< C
-
I don’t have that sign on my phone.
Positive linear relationships are represented by values of the correlation, r, that are _____.
Answers
The pyramid shown has a square base that is 18 inches on each side. The slant height is 16 inches. What is the surface area of the pyramid?
Answers
.. S = s(s +2h)
Your pyramid will have area
.. S = (18 in)*(18 in +2*16 in)
.. S = (18 in)*(50 in)
.. S = 900 in²
Answer:
txt
Step-by-step explanation:
Li wants buy a jacket is originally Price at $65.00. Today the store is advertising the jacket for 40°/° off the original price.
Answers
65-26=39
$39 final price
Hope this helps :)
The new price is $39.00