PLZ HELP ME!! THE PICTURE IS BELOW!! NO LINKS!!!
Find the value for x to the nearest tenth.
Select one:
A. 6.4
B. 5.2
C. 5.8
D. 4.5
Answers
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Explanation:
Refer to the diagram below. I've added the points A, B, C, D, and E. Point A is the center of the circle while points B, C and D are along the circle's edge. The radius AC and chord BD intersect at point E.
Recall that whenever we have a radius perpendicular to a chord like this, it means that the radius bisects the chord. So that means chord BD is cut into two equal pieces BE and ED. The diagram given to you tells us that ED = x, so BE is also x units long as well. Overall, BD = BE+ED = x+x = 2x units.
Since BE = ED, the arcs formed are congruent as well. Minor arc BC is the same measure as minor arc CD. Both are 45 degrees. They combine to 90 degrees. In turn, this leads to central angle DAB to be 90 degrees.
Note how triangle DAB is an isosceles right triangle. The two equal legs are the two radii AB and AD, both which are 9 units long. The hypotenuse BD is equal to sqrt(2) times the leg length, so BD = 9*sqrt(2) units long.
Earlier I mentioned that BD = 2x also. We'll equate the two right hand side expressions and solve for x like so:
2x = 9*sqrt(2)
x = (9*sqrt(2))/2
x = (9/2)*sqrt(2)
x = 4.5*sqrt(2)
x = 6.36396103067892
That value is approximate. Rounding to the nearest tenth leads to the final answer of 6.4; therefore, the answer is choice A.
Related Questions
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi
Answers
A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.
What is Pythagoras's Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
Let x be the length of the boat from the dock.
From the Pythagoras' theorem
[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]
Hence, the length of the boat from the dock will be 15 miles.
Learn more about Pythagoras' theorem here:
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Which answer is correct?
Answers
Answer:
B
Step-by-step explanation:
Philip rode less than her so immediately you subtract which cancels answers a and d.
we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5
how many 3 letters words can be formed with or without meaning from the letters DURIAN
Answers
Answer:
120 ways
Step-by-step explanation:
For this question, you just have to use the permutation technique or multiplication rule.
By using the multiplication rule,
6×5×4=120 ways
By using the permutation technique,
6P3=120 ways
correct me if I'm wrong
solve , √(6*6) + √(7*7) please ASAP
Answers
Answer:
[tex] \sqrt{(6 \times 6 } + \sqrt{7 \times 7} \\ = \sqrt{ {6}^{2} } + \sqrt{ {7}^{2} } \\ = { ({6}^{2} )}^{ \frac{1}{2} } + { {(7}^{2} )}^{ \frac{1}{2} } \\ = 6 + 7 \\ = 13[/tex]
Answer:
The answer is 13 I hope that helped you buddy <3
The coordinates of the point L are (-3,7) and the coordinates of point M are
(-3,2). What is the distance, in units, between the point L and point M?
Answers
Answer:
5.
Step-by-step explanation:
x axis is the same. do 7-2. Which equls 5.
Please help me I have been stuck for a while now
Answers
The square root of 9 is 3, so the square root of 11 would be a little greater than 3
The answer would be C. 3.3
What is the result when the number 72 is decreased by 44%? Round your answer to the nearest tenth.
Answers
Here is how to solve it.
44% of 72 is 31.68
Now you subtract 72-31.68 and get 40.32.
Then you round to the nearest tenth so then it’s 40.3
Find X (2/3 x) (x + 40)
Answers
The Answer Is X=84
Make an equation for x.
x+40+2/3x=180
x+2/3x=140
Combine like terms.
1 2/3x=140
140/1 2/3 =84
x=84
i need help with this plzzzzzzzzzzzzzzzzzzz
Answers
Answer:
Parallel lines have to have the same slope, and the only one that has a slope of 1/4 is y = 1/4x - 1/2
In 3 548 729, what digit is in the ten thousands place?
Answers
Answer:
4
Step-by-step explanation:
Answer: 7
Step-by-step explanation: because it is 5 spaces over
Eric starts with 10 milligrams of a radioactive substance. The amount of the substance decreases by 12 each week for a number of weeks, w. He writes the expression 10(12)w to find the amount of radioactive substance remaining after w weeks. Andrea starts with 1 milligram of a radioactive substance. The amount of the substance decreases by 20% each week for a number of weeks, w. She writes the expression (1−0.2)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Eric’s and Andrea’s expressions mean.
Answers
Answer:
In Pic
Brainliest?
Step-by-step explanation:
Answer: Mark as brainliest "If" help
Step-by-step explanation: Hope It helps,,
Find the volume use pi as part of the equation round to nearest hundred
Answers
Answer:
V = 340.339
Step-by-step explanation:
V = [tex]\frac{\pi r^{2} h }{3}[/tex]
V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex] = about 340.3392 = 340.339
Answer:
340.17 ft.
Step-by-step explanation:
Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.
'r' means radius; 'h' means height; 'π' means pi.
The radius is 5; the height is 13.
πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)
340.166666667 ≈ 340.17
Therefore, the area of this circular cone is 340.17 ft.
The perimeter of the figure below is 61.1 m. Find the length of the missing side.
Answers
Answer:
I believe it would be 12.9
Step-by-step explanation:
perimeter is all of the outside lengths combined. if you take the 61.1 and subtract the lengths it gives you, the remaining length should be your answer
سلام. ایرانی ها بیان فالو بک بدیم
[tex] \sqrt[5]{1024} = \frac{?}{?}[/tex]
Answers
2^10/5 = 2^2 = 4
................................
.
Which of the following shapes could have a triangular cross-section? Prism ,Cone ,Cylinder ,Pyramid ?
A) Prisms only
B) Prisms and Cones
C) Prisms, Cones, and Pyramids
D) Prisms, Cylinders, and Pyramids
please help me
Answers
Hope this helped
slope (7,-4) and (7,-1)
Answers
Answer:
undefined
Step-by-step explanation:
line is straight up and down
Answer:
Undefined. It ends up being 3/0 which can't happen so it remains undefined.
Step-by-step explanation:
Write an algebraic expression for the phrase below
12 less than twice a number n
A 12 - n -n B 6 - 2n C 2n - 12 D 12n – 2
Answers
Answer:
The answer is C: 2n - 12. Hope this helps!
A bag of M&M's have 5 red, 9 green and 2 brown left in it. You draw out one M&M and put it back then draw another. What is the probability of drawing a red first and a red second? Write your answer as a decimal rounded to the nearest thousandth
Answers
Answer:
0.098
Step-by-step explanation:
Without using a calculator, order the following numbers from least to greatest . 5 sqrt(14) 4
Answers
Answer:
.5, sqrt 14, 4
Step-by-step explanation:
.5, 3.7416, 4
Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the pyramid is 6\text{ ft}6 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
[tex]V=6.66\ ft^3[/tex]
Step-by-step explanation:
The perimeter of the square base of a pyramid = 7.3 ft
The height of the pyramid, h = 6ft
The perimeter of a square is given by :
P = 4s, s is the side of square
7.3 = 4s
s = 1.825 ft
The volume of a pyramid is given by :
[tex]V=\dfrac{lbh}{3}[/tex]
Here, l = b = 1.825 ft
So,
[tex]V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3[/tex]
So, the volume of the pyramid is equal to [tex]6.66\ ft^3[/tex].
What is the interquartile range (IQR)?
Answers
Answer:
IQR = 3
Step-by-step explanation:
if you create a box plot from the data provided, you get these values:
minimum: 4
quartile 1: 5
median: 6.5
quartile 3: 8
max: 22
range: 18
IQR is the difference between the 3rd and 1st quartiles
∴ the answer is 8-5 or 3
A shipping container is in the shape of a right rectangular prism with a length of 7.5
feet, a width of 1.5 feet, and a height of 6.5 feet. The container is completely filled
with contents that weigh, on average, 0.34 pound per cubic foot. What is the weight
of the contents in the container, to the nearest pound?
Answers
Answer:
3
Step-by-step explanation:
because two plus two
Hal and Samantha are going on a trip to the state park. They want to be out there for no more than 8 hours, and they also want to travel at least 30 miles. They can hike at a rate of 3 mph, and they can canoe at a rate of 6 mph. If the solution region is the amount of time they spend hiking and canoeing so that they can meet their goals, which graph's shaded area represents the solution region?
Answers
Answer:
z
Step-by-step explanation:
Each sq. In. Of your body has about 6.5×10^2 pores. Suppose the back of your hand has an area of about 0.12×10^2 in^2
Answers
Answer:
7800 pores on the back of your hand
Step-by-step explanation:
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10^2)(.12 x 10^2) = 7800
The number of the pores on the back of your hand will be 7800
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10²)(.12 x 10²) = 7800
Hence the number of the pores on the back of your hand will be 7800
To know more area follow
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Write 4 equations:
-2 equations using sine based on triangle ABC
-2 equations using cosine based on triangle ABC
Answers
its B. if there's choices
(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units
Plz help
Answers
Answer: Choice D
|-50-12| = |-62| = 62 units
================================================================
Explanation:
Draw out a number line. Mark two points on it at A = -50 and B = 12
The expression |A-B| represents the distance between the two points. So that would be....
|A-B| = |-50-12| = |-62| = 62
Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.
-------------------
Slightly alternative method:
If you wanted, you could plot point C on the number like such that C is at 0.
The distance from A = -50 to C = 0 is exactly 50 units
From C = 0 to B = 12 is an additional 12 units
Therefore, the total distance is AC+CB = 50+12 = 62 units
-------------------
Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.
If using the method of completing the square to solve the quadratic equation x2 – 3x + 20 = 0, which number would have to be added to "complete the square"?
Answers
Answer:
⁹/₄Step-by-step explanation:
The square is: a²-2ab+b²
We have
[tex]x^2-3x[/tex]
it's: [tex]x^2-2\cdot x\cdot\frac32[/tex]
so we need: [tex]\left(\frac32\right)^2=\frac94[/tex]
[tex]x^2-2\cdot x\cdot\frac32+\frac94-\frac94+20=0\\\\(x-\frac32)^2-2.25+20=0\\\\(x-\frac32)^2=-17.75[/tex]
witch, of course, means no solution
At what rate percent will the interest on Rs. 6300 in 10 years be equal to its principal?
Answers
Answer:
the answer is 10÷6300×100=0,16%Complete the table using the equation
Answers
Answer:
x -1 0 1 2 3
y 2 4 6 8 10
Step-by-step explanation:
y = 2x + 4
x = -1: y = 2(-1) + 4 = 2
x = 0: y = 2(0) + 4 = 4
x = 1: y = 2(1) + 4 = 6
x = 2: y = 2(2) + 4 = 8
x = 3: y = 2(3) + 4 = 10
x -1 0 1 2 3
y 2 4 6 8 10
Sofia buys 6 goldfish. Each goldfish costs $2. Sofia pays for the goldfish with one $10 bill and one $5 bill.
How much change does Sofia get back?
Answers
Answer:
$3
Step-by-step explanation:
6 x $2 = $12
$15 - $12 = $3
$3 Answer
Answer:
3 is your answer i have the same quiz
Step-by-step explanation: