Answers
Answer:
[tex]r=\frac{5}{2}\sqrt{2}[/tex]
Step-by-step explanation:
Triangles And Circles
If a right triangle is inscribed in a circle (or the circle is circumscribed around the right triangle), then the hypotenuse of the triangle is the diameter of the circle.
The right triangle has both legs of known lengths, thus the hypotenuse (the diameter of the circle is):
[tex]d^2=5^2+5^2[/tex]
[tex]d^2=25+25=50[/tex]
[tex]d=\sqrt{50}[/tex]
Since 50=2*25:
[tex]d=5\sqrt{2}[/tex]
Thus the radius of the circle is:
[tex]r=\frac{d}{2}[/tex]
[tex]r=\frac{5\sqrt{2}}{2}[/tex]
[tex]\boxed{r=\frac{5}{2}\sqrt{2}}[/tex]
Related Questions
Two hundred tickets are being sold for a schools draws. What are your chance of winning with one ticket. Express your answer in a percent
Answers
Answer:
1%
Step-by-step explanation:
200 out of 1 is 1%
Most likely to win most likely to not win
Answer:
0.5 %
Step-by-step explanation:
1/200 is equivalent to 0.005
0.005 × 100 is 0.5
find the measure of
a. 71 degrees
b. 109 degrees
c. 180 degrees
d. 82 degrees
Answers
Answer:
71°
Step-by-step explanation:
Given;
<A=27°
<B=82°
<T=?
We add all angles and subtract it from 180 since an interior angle adds up to 180
<A+<B+<T=180
27°+82°+<T=180
109°+<T=180
<T=180-109
<T=71°
Therefore angle T <T is equal to 71°degrees
If 1 is subtracted from the numerator and from
the denominator of a fraction, the value obtained
is If 1 is added to its numerator and to its denominator, the resulting value is 2/3.
Find the fraction.
Answers
1+ (-1/3) = 2/3
What is the percent of change from 5,000 to 400?
91% increase
91% decrease
92% decrease
92% increase
Answers
92% decrease
hope this helps:)
1
Mary and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of
windflower bulbs and bags of daffodil bulbs. Mary sold 10 bags of windflower bulbs and 4
bags of daffodil bulbs for a total of $226. Darryl sold 6 bags of windflower bulbs and 4 bags of
daffodil bulbs for a total of $166. What is the cost each of one bag of windflower bulbs and
one bag of daffodil bulbs?
Answers
Answer:
15 windflower bulbs
19 daffodil bulbs
Step-by-step explanation:
Given
Represent windflower with W and daffodil with D.
So:
Mary's sales is:
10W + 4D = 226 --- (1)
Darryl's sales is:
6W + 4D = 166 ---- (2)
Required
Solve for W and D
We'll make use of elimination method.
Start by subtracting (2) from (1)
10W - 6W + 4D - 4D = 226 - 166
4W = 60
Multiply both sides by ¼
¼ * 4W = 60 * ¼
W = 60 * ¼
W = 15
Substitute 15 for W in (1)
10W + 4D = 226
10 * 15 + 4D = 226
150 + 4D = 226
Collect like terms
4D = 226 - 150
4D = 76
Multiply both sides by ¼.
¼ * 4D = 76 * ¼.
D = 19
At a store, notebooks are on sale for 78% off the regular price. The cost of a notebook is represented by n. Which of the following expressions does NOT represent the sale price of the notebooks?
Answers
Can you give the answer choices? that would help a lot more to find the answer they are looking for
In a town election azeem got 42 percentage of the votes cast and hamza got the remaining votes.If the total number of votes cast is 40000. Find the votes obtained by Hamza .
Answers
Answer:
23200
Step-by-step explanation:
42 percent of 40000 is 16800
40000-16800=23200
please give me brainliest!!!<3
Answer:
23,200
Step-by-step explanation:
Total number of votes cast is 40,000
Since Azeem got 42% of the votes casted, then the votes obtained by him would be;
= 42% × 40,000
= 16,800
To get the number of votes obtained by Hamza, we will subtract the votes obtained by azeem from the total votes casted since there are only two candidates in that town, hence number of votes obtained by Hamza would be;
= 40,000 - 16,800
= 23,200.
Therefore, the number of votes obtained by Hamza is 23,200
Element X is a radioactive isotope such that every 25 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 50 grams, how much of the element would remain after 23 years, to the nearest whole number?
Answers
Answer: 26
Step-by-step explanation:
if the volume if a cylindrical solid is 1320 and base area is 264 . find its height
Answers
Answer:
5
Step-by-step explanation:
V = h*A where h is the height and A is the base area
1320 = h*264
Therefore, h = 5
PLEASE HELP IM BEGGING YOU !!!!!!! Which value would solve for k for the equation y=kk in the graph below?
a: 1/6
b: 6
c: 1/3
d: 3
Answers
Answer:
a: 1/6
Step-by-step explanation:
how to find the circumferenceof a circle
Answers
Answer:
You can find the circumference of a circle by using the measurement of its diameter, radius or area. The circumference of a circle is the distance around the circle's edge from one point, meeting back at that point.
Step-by-step explanation:
Answer:
C=2[tex]\pi[/tex]r
Step-by-step explanation:
To find the circumference of a circle you have to use the formula:
c= 2 [tex]\pi[/tex] r
c being circumference
r being radius
If your given diameter than divide that by 2 to get radius
[In case you need it in the future]
To find area of a circle use the formula:
A = [tex]\pi[/tex] r^2
A being area
r being radius
If you need further assistance don't be afraid to reach out. I hope this helps!
Choose the correct answer! ( sorry if it's hard :( )
1. A dot (.) represents a _______.
Options:
a. line
b. point
c. line segment
d. stop
2. A _______ has two endpoints
Options:
a. line segment
b. line
c. ray
d. point
Answers
1. point
2. Line segment
Why: will a dot on a graph is known as a point on a graph. A line segment has two endpoints but you could also do process of elimination and know that a Ray has one end point and the other side goes on forever, a line has no endpoint and as it was started in the first question a point is a dot on the graph.
Hope this Helps :D
Answer:
Step-by-step explanation:
1) A dot represents a point.
2) A line segment has two end points
please help meeee!!!!!!!!!!!!!!!!
Answers
Answer:
(-3,-1)
Step-by-step explanation:
I LUV DESMOS lol, jk, but it's easier to graph at these times
138 is 74% of what number? If necessary, round your answer to the nearest hundredth.
Answers
Answer:
186.5
Step-by-step explanation:
Thats It
Evaluate p − 10 for p = 16.
Answers
Answer: 6
Step-by-step explanation: If p = 16 and since 16 is a bigger number than 10 you can subtract the two numbers which 16 - 10 =6
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Answers
Step-by-step explanation:
pls check your answer I hope u can understand
Answer:
thank u sm
Step-by-step explanation:
helps a lot
What are the coordinates of the point?
A. (6, –3)
B. (-3, 6)
C. (-3, – 6)
D. (3, 6)
Answers
ggdhgdybdfghdsftrg
laoaoalaloal
Factorise:
16p^2 + q^2 +4r^2 - 8pq+ 4qr -16pr .
Help me Plz....
Answers
Answer:
(4p-q-2r)^2
Step-by-step explanation:
Use the perfect square formula, a^{2}+b^{2}+c^{2}+2ab+2ac+2bc=\left(a+b+c\right)^{2}, where a=4p, b=-q and c=-2r.
Answer:
(4p-q-2r)^2
Step-by-step explanation:
(4p-q-2r)^2
The equation shows the relationship between x and y: y = −9x + 5 What is the slope of the equation? (4 points) a −14 b −9 c −4 d 5
Answers
The letter b
answer: -9 the slope is -9
Rashon breaks a granola bar in half and eats
1 piece. Kelly breaks another granola bar of the
same size into 4 equal pieces. She eats 3 pieces.
Who eats the least amount?
Answers
Tobias Gold sells computers at The Office Center.
He is guaranteed a minimum salary of $1,959 per month plus
6.3% commission on total sales. How much in total sales does
he need in order to have a gross pay for the month of $2,784.84?
Answers
Answer:
Total sales to be made = $13108.57
Step-by-step explanation:
Given that:
Monthly salary = $1959
Commission = 6.3%
Monthly pay to be earned = $2784.84
Commission amount = 2784.84 - 1959 = $825.84
Let,
x be the amount of sales
6.3% of x = 825.84
[tex]\frac{6.3}{100}x=825.84\\0.063x=825.84[/tex]
Dividing both sides by 0.063
[tex]\frac{0.063x}{0.063}=\frac{825.84}{0.063}\\x=13108.57[/tex]
Hence,
Total sales to be made = $13108.57
solve 3(6b-1)-7(2b+3)=0
Answers
Answer:
24/13 or 1.8
Step-by-step explanation:
27b -3 - 14b -21 = 0
13b - 24 = 0
13b = 24
b = 24/13 or 1.8
Answer:
B = 6
Step-by-step explanation
1. (Do the parentheses) 3(6b-1)-7(2b+3) = 18b-3-14b-21
2. (Simplify) 18b-3-14b-21 = 4b-24
3. (Add 24 to both sides) 4b-24+24=0+24
4. (Simplify) 4b = 24
5. (Divide by 4) b = 6
Identify the value of a if
y= ax+ 7x + 2
and the point (2, 12) is on the graph.
Answers
Answer:
a=-2
So yep. ;)
Step-by-step explanation:
Alright, so, (2,12), 2 is the x and 12 is the y.
Stick them into the equation: [tex]12=a*2+(7*2)+2[/tex]
Then, solve:
[tex]12=a*2+14+2[/tex]
a = -2
So yes, they're on the graph.
Hope this helped! :)
What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)
Answers
Answer:
10.7a-8.1b
Step-by-step explanation:
Answer: 24.3a - 8.1 + 0.29
Step-by-step explanation:
YOUR WELCOME
X-7=13 what does x equal
Answers
Answer: 20
Step-by-step explanation:
To answer these types of questions, you have to think about what number minus 7 would equal 13. You can find out by simply adding 13+7. Then check your answer.
20-17=13 is accurate
A florist is looking to make arrangements of red and white roses for bouquets. The flowers are priced so that she makes a profit of $1.25 per red rose and $1.00 per white rose in a bouquet. Her goal is to make at least $1000 from sales of these bouquets. Based on her available time and supplies of red and white roses, she is considering two possibilities: 130 bouquets of 4 red roses and 3 white roses each or 110 bouquets of 3 red roses and 5 white roses each. Will either of these possibilities turn the profit the florist is seeking?
Answers
Answer:
Option 1Step-by-step explanation:
Option 1
130 bouquets of 4 red roses and 3 white roses each. Profit is:
130*(4*$1.25 + 3*$1) = $1040 > $1000Option 2
110 bouquets of 3 red roses and 5 white roses each. Profit is:
110*(3*$1.25 + 5*$1) = $962.50 < $1000As we see option 1 is bringing target profit so should be her choice
Answer:
30 bouquets of 4 red roses and 3 white roses each.
Step-by-step explanation:
HELP FAST PLEASE AND THANK U
Answers
Answer:
The answer is 1
Step-by-step explanation:
Eight more than the product of a number and 3 equals 9.
Answers
Answer:
3n + 8 = 9
Step-by-step explanation:
"eight more" represents adding 8, so +8
"product of a number and 3" represents multiplying n by 3, so 3n
"equals 9" means that 3n + 8 = 9
Answer:
n = 1/3
Step-by-step explanation:
n = a number
8 + 3n = 9
3n = 1
n = 1/3
O is the centre of the circle and ABC and EDC are tangents to the circle. Find the size of angle BCD. You must give reasons in your answer.
*I got 3/4 Marks, can someone help me achieve the 4th?*
It may have something to do with reasoning...
Answers
Here is the ans of this ques. Hope it helps
4u+3u+21=70 find the value of the variables
Answers
Answer:
u=7
Step-by-step explanation:
First, add 4u and 3u because they are like terms.
7u+21=70
Second, subtract 21 from both sides.
7u=49
Finally, to isolate the variable divide 7 from both sides.
u=7
Hope this helps you