Triangle XYZ is a right triangle.
Use the drop downs to determine the length of the legs of the right triangle.
What is the length of Side X Z?
What is the length of Size Y Z?
Answers
Answer:
What is the length of Side X Z?
✔ 5
What is the length of Size Y Z?
✔ 6
The length of side XZ is 5 units.
The length of side YZ is 6 units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the length of side XZ, we can use the distance formula, which is:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Substituting the coordinates of X (-2, 4) and Z (3, 4), we get:
[tex]d(XZ) = \sqrt{(3 - (-2))^2 + (4 - 4)^2}\\= \sqrt{5^2 + 0^2}\\= \sqrt{25}\\= 5[/tex]
The length of side XZ is 5 units.
To find the length of side YZ, we can again use the distance formula with the coordinates of Y (3, -2) and Z (3, 4):
[tex]d(YZ) = \sqrt{(3 - 3)^2 + (4 - (-2))^2}\\= \sqrt{0^2 + 6^2}\\= \sqrt(36)\\= 6[/tex]
The length of side YZ is 6 units.
Thus,
The length of side XZ is 5 units.
The length of side YZ is 6 units.
Learn more about triangles here:
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Related Questions
What is 200000 in standard form
Answers
Answer:
200,000 or 2000,000.0?
Step-by-step explanation:
Answer:200,000 = 2 x 10^5 fifteen thousand, eleven and sixty-seven thousandths?
Step-by-step explanation:
google hope this help you
Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function r(s)=3 sqrt s, where s is time in seconds. The area of the spill when s=5 seconds is ___ pi square inches.
Answers
Answer:
[tex]Area=45\pi$ square inches[/tex]
Step-by-step explanation:
The radius, r of the expanding circle of oil is modeled by the function:
[tex]r(s)=3\sqrt{s}[/tex], where s is time in seconds.
When s=5
Radius, [tex]r(5)=3\sqrt{5}$ inches[/tex]Area of a circle[tex]=\pi r^2[/tex]
Therefore, area of the oil spill when s=5 seconds is:
[tex]Area=\pi (3\sqrt{5})^2\\=\pi *3^2*(\sqrt{5})^2\\=\pi *9*5\\$Area=45\pi$ square inches[/tex]
The area of the spill when s=5 seconds is 45pi square inches.
16. What number is four less than twice itself?
Answers
Answer:
2x-4. When you take a number- x- and add 2 of them -2x- and subtract 4 from it.
What is the value of y in this triangle?
980
А.
124°
В. 98°
Ос. 56°
OD. 36°
Answers
Answer:
D.36
Step-by-step explanation:
you have to subtract them to get your answer.
i need help plz im tired and behind
Answers
2)X= 4
Explanation: first distribute what in the parenthesis, then combine like turns
Answer:
x = 5, x = 4
Step-by-step explanation:
Oh I love these!!
3x + 8 + 2x = -3(x-16)
First, distribute the -3 across the parentheses. -3(x-16)
3x + 8 + 2x = -3x + 48
Next, let's add 3x and 2x on the left side of the equation there to clean it up a bit and give us less numbers to work with. 3x + 2x
8 + 5x = -3x + 48
Let's take the opportunity to add -3x on both sides so we can get all of the algebraic expressions containing (x) on one side.
8 + 8x = 48
Subtract 8 on both sides.
8x = 40
Divide by 8 to finally isolate x!
x = 5
Second one let's go!
0.5(6x - 4) = 2x - 6x + 26
Similar to the first equation, we'll need to distribute the 0.5 across the parentheses first. 0.5(6x - 4)
3x - 2 = 2x - 6x + 26
To clean the equation up let's subtract 6x from 2x on the right side of the equation there.
3x - 2 = -4x + 26
Add 2 to both sides.
3x = -4x + 28
Isolate the algebraic expressions that hold our x variables captive. (Add -4x to both sides.)
7x = 28
Divide by 7 on both sides to isolate x.
x = 4
A comedy show will be held this Friday at the local theater. Tickets are $9 each. The theater has 828 seats. How much money will the theater collect if tickets sell out for all shows? What is the product of 828 and $9? $7,282 $7,290 $7,352 $7,452
Answers
Answer: $ 7452.00
Step-by-step explanation:
Answer:
Step-by-step explanation:
Money collected by the theater = 828 * 9
= $ 7452
PLEASEEEEEEEEEE HELP FAST... 50 POINTS
SOLVE FOR VOLUME
Answers
Answer:
Step-by-step explanation:
volume = height * are of the trapezoidal = 9 * (7+11)*4.5 / 2 = 364.5 m3
Answer:
364.5 m³
Step-by-step explanation:
Volume = base area × height
Base area: ½(7+11)×4.5
9×4.5
40.5 m²
Volume: 40.5 × 9
364.5 m³
What is the surface area of the triangular prism represented by the net below?
Answers
Answer:
608 cm^2
Step-by-step explanation:
Top and bottom rectangles:
2(10*16)
= 2(160)
= 320
Middle rectangle:
(12*16)
= 192
Two triangles:
2((12*8)/2)
= 2(96/2)
= 96
Surface area of the whole prism:
320 + 192 +96
= 608
The surface area of the triangular prism is 608 cm² represented by the net.
What is the volume of a rectangular prism?The volume of the rectangular prism is the product of the base area and the height.
The triangular prism is given in the question, as shown:
As per the given figure, the surface area of the triangular prism will be:
Three rectangles ( top, bottom, and middle) + Two triangles
2(10×16) + (12×16) + 2((12×8)/2)
2(160) + 192 + 2(96/2)
320 + 192 + 96
Apply addition operation, and we get
608
Thus, the surface area of the triangular prism is 608 cm².
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*place holder since picture has the work*
Answers
Answer:
rhombus
Step-by-step explanation:
a rhombus is a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.
What is the probability that out of 75 babies born, at least 37 will be girls?
Assume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent.
O
o
A. 50.0%
59.1%
49.3%
D. 40.9%
o
Answers
Answer:
49.3%
Step-by-step explanation:
37 / 75 = 49.3%
The answer is 49.3%.
Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
How to find that at least 7 will be girls?
Given that 75 babies are born assume that boys and girls are equally probable.
Then the probability that at least 37 will be girls is
37 / 75 = 49.3%.
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A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?
Answers
Answer:
Step-by-step explanation:
Total= 100 Ft
Width= 20
Length=?
Total - Width = Length
100 - 20 =
80 Length Of the Garden
A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver
Answers
Answer:
I believe the answer is C. Driver.
Step-by-step explanation:
The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.
The table represents the temperature of a cup of coffee over time.Which model best represents the data set? exponential, because there is a relatively consistent multiplicative rate of change exponential, because there is a relatively consistent additive rate of change linear, because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change
Answers
Answer:
A. exponential, because there is a relatively consistent multiplicative rate of change
step-by-step explanation:
edge
Answer:
This question is multiple choice and the answer would be A
Step-by-step explanation:
I just took it its correct
a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line
Answers
Answer:
y-1=-2/3(x+9)
Step-by-step explanation:
y-1=-2/3(x-(-9))
y-1=-2/3(x+9)
To write an equation for this line, you must follow these steps:
1. M= Slope (-2/3)
2. X1= -9
3. Y1= 1
4. First, take the equation y - y1 = m(x - x1)
5. Plug the values into the equation
6. Y - 1 = -2/3(x - (-9))
7. Change the sign
8. Y - 1 = -2/3(x +9)
9. Distribute the -2/3
10. Y - 1 = -2/3x - 6
11. Add 1 to both sides
12. Y = -2/3x - 5
This gives you a final answer of y = -2/3x -5 (note that this equation is in slope intercept form)
Hope this helps!
Someone please help me. Thank you :)
Answers
1. Area of a rectangle = L x W (length times the width.
2. Width is the 6inches
3. Length is the 7inches
4. Plug 6 and 7 in the equation to get the area
Answer:
42in.
Step-by-step explanation:
To solve this problem you need to multiply the L * W
Width: 7in
Length: 6in
Hope I helped you!
Find the area of a face of a rectangular prism.
What is the area of the front of the prism?
Area =
cm2
Answers
Answer:
It is L*W*H.
Width times Height
Step-by-step explanation:
I don't know what you are exactly talking about, there are no attached worksheet. But if you are talking about the formula for the rectangular prism.
Formula for rectangle prism: L*W*H
Area of the front of the prism: Width times height
Answer:
12cm2
Step-by-step explanation:
edge 2020 correct on assignment
Dana is purchasing a new car that costs $24,650. The bank is charging 4% simple interest for 6 years to finance the car. Using I = PRT, where I represents the amount of interest, P equals the amount financed, R represents the interest rate as a decimal, and T represents the number of years the car is financed, how much interest will Dana pay?
Answers
Answer:
5,916
[tex]24650 \times 0.04 \times 6 = 5916[/tex]
The interest that should be paid by Dana at the time when the new car cost should be $24,650. So it is $5,916.
Calculation of the interest:Since Dana is purchasing a new car that costs $24,650. The bank is charging 4% simple interest for 6 years to finance the car.
So here the calculation is
= $24,650 (4%)(6 year)
= $5,916
Hence, The interest that should be paid by Dana at the time when the new car cost should be $24,650. So it is $5,916.
Learn more about interest here: https://brainly.com/question/24269622
Question 9
.....................................................................
Answers
Answer:
your answer is D (6.72)
Step-by-step explanation:
substitute x by 4
y = 2.76(4) - 4.4
y = 11.12 - 4.4
y = 6.72
Therefore the option D (6.72) is the correct answer
- hope this helps, if it does click the thanks button to let me know :) -
- have a nice day, be safe & healthy -
help me out please
simple 8th grade math.
Answers
The blank is minus 3
help asap please tyyy
Answers
Answer:
I believe its the blue (42 u^2)
Step-by-step explanation:
It would be 42u^2.
Step-by-step explanation:This is because there are 42 squares if you count them all up.
Or you can do (9)*2 + (6)*4 to get it.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Viewer's Age Group Excellent Good Average Poor Marginal Total 16–25 52 42 12 7 113 26–35 33 50 5 9 97 36–45 58 12 28 34 132 46–55 25 17 22 12 76 56+ 12 5 3 8 28 Marginal Total 180 126 70 70 446 Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie. A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor. Out of the total respondents, the percentage of respondents from the 46–55 age group who rated the film excellent is %. Write your answer up to two decimal places.
Answers
Answer:
32.89
Step-by-step explanation:
The percentage of respondents from the 46–55 age group who rated the film excellent is 25/76 * 100 = 32.89%.
Describe how to find the 1 1/2-inch mark on a ruler.
Answers
Answer:find the one inch mark
Step-by-step explanation:
Go half way over between the 1 and 2
If p stands for "this meal is delicious
Answers
Answer:
I don't understand.......
How many servings of
cups are in 33 cups of ice cream?
Answers
Answer:
I am 99% sure its 33 servings
Step-by-step explanation:
because the question says that "how many servings of cups are in 33 cups".
(hopefully im right) and HOPEFULLY THIS HELPS. : )
The sum of two rational numbers is 2. If one of them is -13/5, find the other
Answers
So the right answer is 23/5
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex] \frac{23}{5} [/tex]
Step-by-step explanation:
[tex]x + ( - \frac{13}{5} ) = 2 \\ x - \frac{13}{5} = 2 \\ x = 2 + \frac{13}{5} \\ x = \frac{10 + 13}{5} \\ x = \frac{23}{5} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
William earns $13 an hour working theater last week he worked h hours at the concession stand and three times as many hours at the ticket counter.Write and simplify an expression for the amount of money William earned last week.
PLEASE HELP IT IS DUE IN 30 min. And explain why
Answers
Williams earns $13
(h+3h)*13 = 4h*13 = $ 52h
Select the sequence of transformations that show ΔABC is similar to ΔDEF.
Select one:
A. a 180° counterclockwise rotation about the origin and a reflection across the x-axis
B. a horizontal translation 3 units to the right and a vertical translation 2.5 units up
C. a dilation and a 90° counterclockwise rotation about the origin
D. a reflection across the y-axis and a dilation
Answers
Answer:
B
Step-by-step explanation:
point e is three units to the right of point c and point d is 2.5 units up from point a
Help please !!! Meg correctly solves 4680 divided by 40. Enter numbers in the boxes to show the equations she could use to solve the problem.
(4000 divide )+ (600 divide
+ (80 divide)
What is 4680 divided by 40
Enter the answer in the box.
Answers
Answer:
117
Step-by-step explanation:
Here, we have to find the result when 4680 is divided by 40.
Meg wants to simplify the process of division here.
We know that 4680 can be written as 4000 + 600 + 80.
So,
[tex]4680 \div 40 = (4000 \div 40) + (600\div 40) + (80\div 40)\\\\\Rightarrow 100 + 15 + 2\\\Rightarrow 117[/tex]
This method makes division very easy if we have to find results of division for large numbers. This example is an illustration of the same.
Please refer to image attached for results.
Hence, Meg gets the result as 117.
Can someone help with this
Answers
Answer:
the answered is -3 like in the picture
Step-by-step explanation:
Math question down below
Answers
Answer:
48 ft.
Step-by-step explanation:
72 divided by 18 = 4
4 times 12 is 48 ft.
Answer:
48ft
Step-by-step explanation:
72/18 = 4
12 x 4 = 48
the building is 48ft tall
