Final answer:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
Explanation:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
This can be explained using the Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this case, the hypotenuse of the right triangle represents the diameter of the circle.
For example, if the lengths of the legs of the right triangle are represented by a and b, then the length of the hypotenuse (diameter) represented by c can be calculated as c = √(a² + b²).
The term that describes the hypotenuse of a right triangle inscribed in a circle is the diameter. This is based on Thales' theorem, which states that the hypotenuse of a right triangle inscribed in a semicircle is the diameter of the circle.
Explanation:The hypotenuse of a right triangle inscribed in a circle is described by the term diameter. When a right triangle is inscribed in a circle, the hypotenuse always corresponds to the diameter of that circle. This is because, according to the Thales' theorem, a right angle in a semicircle suggests that the side opposite the right angle of an inscribed triangle (the hypotenuse) must be the diameter of the circle. Furthermore, the relationship between the sides and the hypotenuse of a right triangle is given by the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
HELP!! Adding and subtracting radicals
Find the cardinal number for the following sets.
A = {102, 103, 104, 105,..., 155}
B = {102, 104, 106, ..., 252}
I'll give brainliest if you show your work. Plz answer quickly.
Nolan used the following procedure to find an estimate for the square root of 18.
Step 1: Since 4^2=16 and 5^2= 25 and 16 < 18 < 25, the square root of 18 is between 4 and 5.
4.1^2=16.81
4.2^2=17.64
4.3^2=18.49
4.4^2=19.36
Step 3: Since 18.49 rounds to 18, 4.3 is the best approximation for the square root of 18.
In which step, if any, did Nolan make an error?
A) In step 1, the square root of 18.
is between 4 and 5 because the square root of 18 equals about 20 and 4 times 5= 20.
B) In step 2, he made a calculation error when squaring.
C) In step 3, he should have determined which square is closest to 18.
D) Nolan did not make an error.
Nolan correctly identified the square numbers before and after 18.
The square roots of them are 4 and 5.
Clearly, square root of 18 should lie between 4 and 5 only.
He, then carefully squared 4.1, 4.2, 4.3 etc. and identified that 4.3 squared is nearer to 18.
Since, Nolan is finding estimated square root, his steps are cool and he didn't make any error.
Answer: C
Step-by-step explanation:
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I need help on this one please
Solve the equation and show all work please show steps!!
e/5-14=8
What percent of 120 is 78?
5/6 x2 1/5 will be _________21/5
Will it be grater then,
less then
or equal to
Thank you for your help
Need help soon.
How many pieces 1/3 of a foot each can I make out of 7 feet of rope?
In order to find how many pieces of 1/3 feet rope you can make out of 7 feet rope, you have to divide 7 feet by 1/3 feet.
7/ (1/3) = 21 pieces
Therefore, you can make 21 1/3 – feet ropes.
The supplement of an angle has a measure that is 20 degrees more than twice the measure of an angle , x degrees. Which equation can be used to find the value of x?
A) 2x + 20 = 90
B) 2x + 20 = 180
C)(2x + 20) + x = 90
D)(2x + 20) + x = 180
Please Help Me
A conical hat has a radius of 7 inches and a height of 14. What’s the slant height
The slant height of a conical hat with a radius of 7 inches and a height of 14 inches is found by using the Pythagorean theorem, leading to a slant height of approximately 15.65 inches.
To find the slant height of a conical hat with a radius of 7 inches and a height of 14 inches, we use the Pythagorean theorem for the right triangle formed by the radius, height, and slant height of the cone. The slant height is the hypotenuse of this right triangle, while the radius and the height are the two legs.
The formula for the Pythagorean theorem is:
a^2 + b^2 = c^2
Where:
a is the radius of the cone (7 inches),
b is the height of the cone (14 inches), and
c is the slant height of the cone (what we are trying to find).
Substituting the values into the formula, we get:
7^2 + 14^2 = c^2
49 + 196 = c^2
245 = c^2
To find c, we take the square root of both sides:
c = √245
The slant height (c) is then calculated to be:
c ≈ 15.65 inches
In the neighborhood park there is a circular grassy picnic area but half of the grass has died the city wants to replace the grass but needs to know the square footage of the damaged area if the circular picnic area is 150 feet across what is the square footage of the damaged area
answer b
Step-by-step explanation:
find the total surface area of the pyramid
There are twice as many liters of water in one container as in another. If 8 liters of water are removed from each of the two containers, there will be three times as many liters of water in one container as in the other. How many liters of water did the smaller container have to begin with?
please help i will mark brainliest and explain
[tex] \frac{7x + 21}{x2 + 5x + 6} \div \frac{x + 6}{x + 2} [/tex]
A restaurant used 3 pounds of potatoes during a lunch rush. If they used 3/8 as much beef, how many pounds of beef did they use?
Final answer:
To find the amount of beef used when the restaurant used 3 pounds of potatoes during a lunch rush and used 3/8 as much beef, simply calculate 3 pounds * 3/8 to determine the amount of beef used, which is 1.125 pounds.
Explanation:
The restaurant used 3 pounds of potatoes during a lunch rush. If they used 3/8 as much beef, we can find the amount of beef used:
Calculate how much beef is equivalent to 3 pounds of potatoes: 3 pounds * 3/8 = 9/8 = 1.125 pounds of beef.
Therefore, the restaurant used 1.125 pounds of beef during the lunch rush.
Can’t afford to get wrong please do not write if you don’t know thanks !
What is the difference between the longest and the shortest lengths of string?
The difference between the longest and the shortest lengths of string
is 3/4 inches.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Are 5 fractions [tex]12\frac{5}{8}, 12\frac{3}{4}, 12\frac{7}{8} 13, and 13\frac{1}{8}[/tex].
Now, The greatest fraction is [tex]13\frac{1}{8}[/tex] and the smallest fraction is [tex]12\frac{3}{4}[/tex].
As 7/8 is greater than 3/5.
So, The difference between the longest and the shortest lengths of string
is = [tex](13\frac{1}{8} - 12\frac{3}{4})[/tex].
= (105/8 - 51/4).
= (105 - 102)/4.
= 3/4 inches.
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zayna is putting ribbon around a picture of her dog the picture is 300 mm wide and 150 mm tall how many meters of ribbon will she need
PLEASE HELP!!!!!!
Find the value of x with side lengths 7, 9 and a 90 degree angle. PS x is the angle in between the hypotenuse(9) and the adjacent(unknown)
Ray is x years old. His brother Ron is y years older than Ray.
What will the sum of their ages be in 5 years?
Morty buys and sells computer parts he bought two monitors for $25 each and later sold them for 88 each he bought four cases for $15 each and later sold them for $24 each if you buy five memory modules for $20 each and later sold them for $55 each
Morty’s total cost for the items he purchased was?
Morty revenue from the sale of the item was
Morty’s total profit was
Answer:
Step-by-step explanation:
Cost = 25×2 +15×4+20×5 = $210
Revenue = 88x2+24×4+55×5 = $547
Profit = Revenue - Cost = 547 - 210
Profit = $337
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BRAINLIEST FOR CORRECT ANSWER!!! A gift in a cubic box with 12 in. edge lengths needs to be wrapped. How many square inches of wrapping paper will be needed to cover the box?
36 in²
72 in²
144 in²
864 in²
Where does Point A And B go? Marking brainliest
Please help with the ones I circled for brainliest! thank you so much
n cold climate areas, trucks are used to disperse salt on the roads in order to de-ice the roads, making them safe for travel. In some cases, cone- shaped sheds store the salt during the off-season, or until the roads need to be de-iced. This large salt storage shed sits 12 feet above the ground and holds approximately 51.4 cubic feet of salt. To the nearest hundredth of a foot, what is the radius of the large storage shed? Use 3.14 for . In your final answer, include all of your calculations.
The radius of the large storage shed is approximately 2.023 feet to the nearest hundredth of a foot.
To find the radius of the large storage shed, we need to use the formula for the volume of a cone, which is given by: [tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
where V is the volume, r is the radius of the base, h is the height and [tex]\( \pi \)[/tex]is approximately 3.14. We are given that the volume V is 51.4 cubic feet and the height h is 12 feet. We need to solve for r.
First, let's rearrange the formula to solve for r: [tex]\[ r^2 = \frac{3V}{\pi h} \][/tex]
Now, plug in the given values:
[tex]\[ r^2 = \frac{3 \times 51.4}{3.14 \times 12} \][/tex]
[tex]\[ r^2 = \frac{154.2}{37.68} \][/tex]
[tex]\[ r^2 \approx 4.093 \][/tex]
Now, take the square root of both sides to find r:
[tex]\[ r \approx 2.023 \][/tex]
So, the radius of the large storage shed is approximately 2.023 feet to the nearest hundredth of a foot.
Help with #11, show work!
Pleaseeeee halpppp
Determine how many actual fish food boxes fit in the shipping box. Show your work.
Find the volume of the shipping box using the two methods and show your work:
Packing cubes
Using the volume formula
Explain how both methods provide the same measurement of volume for the shipping box.
Answer:
Number of boxes that will fit =2340
Step-by-step explanation:
The shipping box volume can be calculated by the formula V = Lxwxh ,where L ,w ,h are length ,width and height of the box.
The length of the shipping box =[tex]3\frac{3}{4} =\frac{15}{4} ft.[/tex]
Width = 3 ft.
Height =[tex]3\frac{1}{4} =\frac{13}{4} ft.[/tex]
Volume of shipping box =[tex]\frac{15}{4} .3 .\frac{13}{4} =\frac{585}{16} = 36.6 ft[/tex].cubic ft.
Volume of shipping box can also be calculated by multiplying base area with the height of box.
Base area of box = [tex]\frac{15}{4} .3=\frac{45}{4} square ft.[/tex]
Volume of box = base area x height =[tex]\frac{45}{4} .\frac{13}{4} = 36.6 cubic ft.[/tex]
Volume of packing cubes =[tex]\frac{1}{4} .\frac{1}{4} .\frac{1}{4} =\frac{1}{64}[/tex] cubic ft.
Number of fish boxes that will fit in the shipping box = volume of shipping box ÷ volume of fish food box = 36.6 ÷ [tex]\frac{1}{64}[/tex] =2340 .
graph the linear equation find three points that solve the equationm then plot on the graph 2y=5x+11
Answer:
(-1,3) (-3,-2) (-5,-7)
Step-by-step explanation: