Find the circumradius of the triangle(side lengths 29, 29, 40)
(edit- is there something i am doing wrong or a reason none of my questions have been answered? because i have spent over 85 points asking questions around this difficulty, and have asked some of them a second time, and have waited in between 2and a half hours and an hour for all of them and no one has answered any
Answer:
See explanation below
Step-by-step explanation:
△ABC is isosceles right triangle because AB = BC = 29. Therefore the height of △ABC (which we can call AD) will bisect base AC at 90 degrees.
We can calculate the height of AD using Pythagorean theorem with BC is the hypotenuse (which is 29), and the side DC (equals 1/2 AC = 40/2 = 20)
=> BC^2 = BD^2 + DC^2
=> BD^2 = BC^2 - DC^2 = 29^2 - 20^2 = 841 - 400 = 441
=> BC = 21
so area of △ABC = hb/2 = (21 x 20)/2 = 210
To find the circumradius, we need to use formula A = abc/4R
=> R = abc/4A
R = (29)(29)(40)/(4 x 210) = (29 x 29 x 10)/210 = 40.05
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20 units is the circumradius of the triangle which has side lengths 29, 29, 40.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
To find the circumradius of a triangle with side lengths a, b, and c, use the formula:
circumradius = abc / 4Δ
where Δ is the area of the triangle.
To find the area of the triangle, use Heron's formula:
s = (a + b + c) / 2
Δ = √(s(s-a)(s-b)(s-c))
where s is the semiperimeter of the triangle.
In this case, the side lengths of the triangle are 29, 29, and 40. The semiperimeter is:
s = (29 + 29 + 40) / 2 = 49
Using Heron's formula, the area of the triangle is:
Δ = √(49(49-29)(49-29)(49-40))
= √(49×20×20×9)
=√176400
= 420
Now, using the formula for the circumradius, we have:
circumradius = abc / 4Δ
= (29×29×40) / (4×420)
=20 units
Therefore, the circumradius of the triangle is 20 units
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If x=-5 find the value of 5x^2-2x+5
When x is equal to -5, the value of the expression 5x^2 - 2x + 5 is 140, by substitution method.
To assess an articulation for a given worth of a variable, we can substitute the worth into the articulation and improve on it. For this situation, we are given the articulation 5x^2 - 2x + 5 and we are told to assess it when x is equivalent to - 5. To do this, we substitute - 5 for x in the articulation to get 5(- 5)^2 - 2(- 5) + 5. We then, at that point, improve on this articulation by first assessing - 5 squared, which is 25. We then increase 5 by 25 to get 125, and add 10 and 5 to find the last solution of 140. In this manner, when x is equivalent to - 5, the worth of the articulation 5x^2 - 2x + 5 is 140.
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Answer: 140
Step-by-step explanation:
given value
x= -5
we need to solve this equation by putting that value of
x =-5 in equation , 5x²- 2x + 5
now , 5 (-5)² - 2(-5) +5
125 + 10 + 5
= 140
Find the value of x in the solution to the system of equations shown.
y = 2x − 1
y= −3x + 14
HELP ME PLEASE I HAVE TO SUBMIT THIS BEFORE 9:15
Answer: "B. -5"
Step-by-step explanation:
STEP 1: Plug -5 into the equation where "X" currently is; 10 (-5) - 5 = -55
STEP 2: Multiply 10 (-5) [-50].
STEP 3: Update the equation to reflect Step 2; -50 - 5 = -55
STEP 4: Subtract 5 from -50 [-55].
STEP 5: Update the equation to reflect Step 4; -55 = -55
It is true that -55 = -55, so, therefore, the answer is "B. -5."
PLEASE HELP ILL MARK BRAINLIEST!!
The hole for a support needs to be 4 feet deep. It is currently 1 foot 6 inches deep. How much deeper must the hole be? Show two ways to solve this problem. Use the conversion factor 12/1.
The hole needs to be __ in deeper
Answer:
4 feet = 48 inches
1 foot 6 inches = 18 inches
The hole needs to be 30 inches deeper.
4 feet - 1 1/2 feet = 2 1/2 feet = 30 inches
The hole needs to be 2 1/2 feet = 30 inches deeper.
Kim is playing a board game. He and his opponent were both on the same spot on the board until Kim got a card that sent him -6 spaces. For which of the following is absolute value not helpful?
To determine how many spaces there are on the board.
To determine the distance that Kim moved.
To determine the number of spaces between Kim's current spot and the one he came from.
To determine how far Kim is away from his opponent.
Answer:
Its To determine how many spaces there are on the bored
Step-by-step explanation:
Please help me I'm confused.
If you have 1 fine lightskin and add 1 me what do you get ?
PLEASE HELP! THANK YOU
1. What is the inequality 3 + x > 10 ( is it x > 7 ? If not please help.)
2. 7x + 5.5 > 61.6
1.
3 + x > 10
x=anything above 7
2.
7x + 5.5 > 61.6
x=anything above 49.1
can anyone help me get these answered? (how to solve it and the answer)
PLEASE HELP!! ILL MARK BRAINLIEST!
Step-by-step explanation:
20:60
12:36
2:6
there r other ways you can do it tho :)
Answer: 20:60, 12:36, 2:6.
Step-by-step explanation: 4:12 = 1:3. The ratio 4:12 is equal to 1:3. which means that the second number (sn) is 3 times the first number (fn). sn = 3 * fn. The first equation: sn = 3 * 20. 3 * 20 is 60, so the second number would be 60. The second equation: 36 = 3 * fn. Divide each side by three, so the equation reads 12 = fn. The last equation: 6 = 3 * fn. Divide each side by three, so the equation reads 2 = fn.
Which inequality is a true statement?
Select EACH correct answer.
A -4 ≤ -5
B -4 = -5
C -4 ≥ -5
D -4 > -5
E -4 < -5
Answer:
D is the answer
Step-by-step explanation:
Letter d -4 > -5
∠a and ∠b are complementary. Find the value of∠b when ∠a is 72°
THANK YOU SO MUCHHHH!!
Step-by-step explanation:
Complementary angles sum to 90°
a + b = 90
72 + b = 90
b = 90 -72
b = 18°
ANSWER ALL WILL GIVE 30 POINTS!! PLEASE
(also give me an example of it like it says)
Answer:
Step-by-step explanation:
How can the area of this triangle be determined by forming a rectangle?
Select from the drop-down menus to correctly complete the statements.
Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
Choose...
units. The width of the rectangle is
Choose...
units. The area of the rectangle is
Choose...
square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is
Choose...
square units.
Answer:
Length of the rectangle = 5 units
Width of rectangle = 4 units
Area of rectangle = 20 units
Area of triangle = 10 units
Step-by-step explanation:
Since I don't know the answer choices, I am assuming the base of the triangle as the length and the height as the width. Check your answer choices and switch 4 and 5 if it is the other way around
Using the graph
The rectangle formed by rotating the triangle and placing it along the original rectangle will have a length(base)
= length of the base of the triangle
= 5 units
The width of the rectangle will be the same as the height of the rectangle = 4 units
The area = length x width = 5 x 4 = 20 units
Area of triangle = half area of rectangle = 20/2 = 10 units
The average of 5 numbers is 23. If the 4 numbers are 18, 27,22 and 20 then find the 5th number?
Answer:
5th number = 28
Step-by-step explanation:
23*5 = 115
The sum of the 5 numbers is
115
Then:
18 + 27 + 22 + 20 + a = 115
a = 5ft number
87 + a = 115
a = 115 - 87
a = 28
Check:
(18+27+22+20+28)/5 = 23
115/5 = 23
Answer: The fifth number is 28
Step-by-step explanation:
All numbers = 18, 27, 22, 20, x
5th number is x
So, [tex]\frac{18+27+22+20+x}{5}[/tex] = 23 (as the there are 5 numbers)
=> [tex]\frac{87+x}{5}[/tex] = 23
=> 87+x = 115
=> x = 28
Therefore the 5th number is 28
hope it helps
no problems
Solve for X
(Second problem btw)
Barney built a fence around the back of his yard. He built 7 feet of the fence every day in July and was finished. How long was his fence?
Hence, Barney is collecting an average of 9 coins every day.
A random sample was taken to determine whether students from a certain classroom prefer to shop at Store A, Store B, or Store C. There were six students in the sample. Five students preferred Store A, one student preferred Store B, and none of the students preferred Store C.
A. Which of the following represents the percentage of students that preferred Store B?
16.7%
0%
83.3%
20%
B. If there are twenty-four total students in the classroom, about how many of them would you expect to prefer Store A?
20
5
29
30
Answer:
A) 16.7
B) 20
Step-by-step explanation:
1/6 = 16.7%
24/6 = 4
24 - 4 = 20
The question is below, please help because this is due tomorrow and I don’t understand :,)
Answers:
The following answers are to be read left to right, moving down by row.
$1000, $200, 80%
$60, $20, 75%
$60, $6, 10%
$86, $34.40, 60%
$14, $11.20, 20%
$2, 15%, 85%
Step by Step Solution:
Percent Saved + Percent Paid = 100%
Sale Price + Amount of Discount = Original Price
Amount of Discount / Original Price = Percent Saved (as a decimal)
Sale Price / Original Price = Percent Paid (as a decimal)
Original Price - Sale Price = Amount of Discount
1/4÷1 1/8 pls help ...........................................
Answer:
1/4÷1 1/8 =1/4÷9/8
1/4×8/9
=2/9 answer
Answer: hope this helps ♡
[tex]\frac{2}{9}[/tex] ≈ 0.22222....
Step-by-step explanation:
1 1/8 = [tex]\frac{9}{8}[/tex]
¼ ÷ 1 1/8 =
¼ ÷ [tex]\frac{9}{8}[/tex] =
¼ × [tex](\frac{8}{9})[/tex] =
1 × 8 / 4 × 9 =
[tex]\frac{8}{36}[/tex] (simplified) → 8 ÷ 4 = 2 / 36 ÷ 4 = 9 → [tex]\frac{2}{9}[/tex] ≈ 0.22222....
A random selection of 30 students in a middle school was asked their age. Of the students, 2 were 12 years old, 10 were 13 years old, 12 were 14 years old, and 6 were 15 years old.
What is the relative frequency of selecting a 12-year-old student? Express your answer as a percent
Answer:
2/30 or 1/15 or 6.66%
Step-by-step explanation:
Marcus dilates figure ABC with a scale factor of 1, with a center of dilation at the origin. The original figure has coordinates A(3, 5), B(6, 10), and C(10, 5). Which statement below is true about the resulting image.
Point A’ will be at (6, 10).
The length of ' will be 7 units.
The image will be the same size, but shifted 1 unit closer to the origin.
The image will move to be centered over the origin.
Answer:
1 is the answer. The length will be 7 unitStep-by-step explanation:
make me brainlist
three numbers are in the ratio 1:3:4. The sum of the squares of these numbers is 1274. Find the number. I need answer ASAP will give brainliest to best and well explained answer
Division problem: Jojo has 2 days to get ready for a trip to Washington State. She has 90 items to bring and several suitcases.
A town is designing a rectangular park that will be 600 feet wide by 1000 feet long. On a scale drawing, the dimensions of the park are 12 inches wide by 20 inches long. A rectangular area of the park for swing sets is 0.5 inch wide by 2 inches long on the scale drawing.
What is the actual length of the swing set area of the park?
Enter your answer in the box.
The actual length of the swing set area of the park is ______ feet.
Answer: The dimensions of the park on the scale drawing is 12 inches and 20 inches.
Dimension
Actual dimensions:
Park = 600 feet by 1000 feet
Swing set = 25 feet by 100 feet
Swing set on the scale drawing= 0.5 inch by 2 inches
Hence:
Dimension of park on drawing:
Width = 600×1/50
Width = 12inches
Length = 1000×1/50
Length= 20inches
In conclusion the dimensions of the park on the scale drawing are 12 inches and 20 inches.
If Figure 1 has been rotated 90 degrees about the origin to form Figure 2, which statement is true?
A. The measure of angle A is congruent to the measure of angle C.
B. The measure of segment AB is congruent to the measure of side RQ.
C. The measure of angle A is congruent to the measure of angle P.
D. The measure of segment CB is congruent to the measure of segment PS.
Answer:
105 degrees
Step-by-step explanation:
do it right in you should need up with that answer.
Which is a way to find the equation of a line that best fits this data?
A way to find the equation of a line that best fits this data include the following: A. Use the coordinates of points B and D to find the slope and then the equation of the line that passes through them.
What are the characteristics of a line of best fit?In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:
The line should be very close to the data points as much as possible.The number of data points that are above the line should be equal to the number of data points that are below the line.By critically observing the scatter plot using the aforementioned characteristics, we can reasonably infer and logically deduce that data points B and D represent the line of best fit because they are in a linear pattern.
Read more on line of best fit here: brainly.com/question/12284501
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PLEASE no wrong answers
Answer:
2295
Step-by-step explanation:
multiply all of them together
HELP ME PLEASE! HW is due today!!
What equation represents relationship between number of games, y, and number of weeks, x.
y=3x
If you look at the graph you can see that it jumps from 3 to 6 to 9 to 12 which is multiplying by 3.