Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.
Answers
The given circle having two external tangents, according to circle
theorem, have the following values;
r = 3m∠1 = 82°m∠2 = 49°x = 82°How can the radial length and angles be found?r² + 1.6² = (0.4 + r)²
(0.4 + r)² - (r² + 1.6²) = 0
0.8·r - 2.4 = 0
0.8·r = 2.4
r = 2.4 ÷ 0.8 = 3
r = 3y = 49°
From the two tangent angle theorem, we have;
m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82
m∠1 = 82°According to circle theorems, angle at the center is twice angle
subtended at the circumference.
m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°
m∠2 = 49°The length of the chord subtended by the arc x is equal to the length of
the chord subtended by 89°, which gives;
x = 82°Learn more about circle theorems applications here:
https://brainly.com/question/16879446
Related Questions
The area of a garden is measured in:
1.grams
2.square centimetres
3.square metres
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it's answer is square metre because SI unit of area is square and in most of the case area of garden is given as metre
Omar is preparing the soil in his garden for planting squash.
Answers
Answer:
Step-by-step explanation:
the question is incomplete :(
AAAAA I NEED HELP AGAIN!!
Answers
Answer:
x=1
Explanation:
it is x=1 because if the point (-1,3) is reflected then the other point is (3,3) and so on
1) A number is drawn at random from the set (1, 2, 3, 4, and 5) and a letter is drawn at random from the word COBRA. How many possible outcomes are there for this experiment? Find the probability that
Answers
Answer:
Step-by-step explanation:
There are 5 numbers. You are going to draw 1 number.
There are 5 letters -- all different. You are going to draw 1 of them
The number of outcomes = 5 * 5 = 25
Vote red saw him vent
Answers
Answer:
vote red and saw him vent
Step-by-step explanation:
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Which translation rule describes the translation that is 6 units to the right and 5 units down? A. (x, y) → (x + 6, y – 5) B. (x, y) → (x – 6, y – 5) C. (x, y) → (x + 6, y + 5) D. (x, y) → (x – 6, y + 5)
Answers
Answer: A
Step-by-step explanation:
You need to add 6 to the x coordinate and subtract 5 from the y coordinate.
Answer:
The answer would be (x + 6, y - 5)
Step-by-step explanation:
6 units to the right is +
6 units to the left is -
5 units to the up is +
5 units to the down is -
When Jocelyn runs the 400 meter dash, her finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 2 seconds. Using the empirical rule, what percentage of races will her finishing time be between 57 and 65 seconds?
Answers
Answer:
95% of races will her finishing time be between 57 and 65 seconds.
Step-by-step explanation:
Mean=61 seconds
Standard deviation =2
Empirical rule says,
68% of data covered between mean±1 standard deviation
95% of data covered between mean ±2 standard deviation
99.7% of data covered between mean ± 3 standard deviation.
I'll upload the Empirical rule curve.
Because 57 is 61-2(2) and 65 is 61+2(2), so, 95% of data covered.
So, according to Empirical rule, 95% of races will her finishing time.
You have calculated that a serving of cake is about 50 cubic inches in size. If a customer comes in and wants to buy a cake that serves 10-12 people, which cake mold would you recommend that they purchase?
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The cake mold I would recommend to a customer that wants to buy a cake that serves 10-12 people is the 600 cubic inches size.
What does multiplication mean?
Multiplication is the process of determining the product of a set of numbers by carrying out a specialised mathematical operation. The sign that denotes multiplication is x.
Which cake mold should be bought?The cake mold to be bought can be determined by multiplying the mold per serving by the maximum number of people the customer wants to serve.
12 x 50 = 600
To learn more about multiplication, please check: https://brainly.com/question/3385014
I need help with this question
Answers
this is really just intuition. you can go either way as long as you back up what you say.
either you think hunter would be faster because he starts out with a lot more money, or you think amado would be faster because he earns a lot more.
part b:
let x be the number of hours hunter works, and y the number that amado works.
they both need to earn 600 dollars.
hunter's money is modelled by 150 + 7.5x
to get 600 dollars
150 + 7.5x = 600
7.5x = 450
x = 60
amado's money is modelled by 12y
to get 600 dollars
12y = 600
y = 50
hunter would need to work 60 hours to make enough money, but amado would only need to work 50, so hunter will take longer.
then say whether this agrees with what you guessed in part a
Dis for a test don’t mess me up.
Answers
Answer:
the answer is 8
Step-by-step explanation:
16=-2p-18 what does p =
Answers
16+18=2p
Simplify 16+18 to 34
34=2p
Divide both sides by 2
34/2=P
Simplify 34/2 to 17
17=P
Therefore your answer is
P=17
What is theSquare root of 4
Answers
The product of (5+3√2) (5-3√2) is
Answers
Answer:
7
Step-by-step explanation:
First use the (a-b) and (a+b) = a^2 - b^2 which is equal to 25 - 9 x 2
then you multiply 9 x 2 which is 18 so 25 - 18 thus 7. The trick is to remember the rules.
Estimate the solution of system equation
y = -2x-5
y = 2x-2
Answers
Answer:
(-3/4,-7/2)
Step-by-step explanation:
Help my math teacher created thistest and I don’t know how to do any of this
Answers
Answer:
B
Step-by-step explanation:
If you’re looking for the intersection it’s B.
If 17 million containers each 6 m long were placed
end to end, would they reach to the Moon?
Answers
Answer:
No
Step-by-step explanation:
17 million containers each of 6m length.
The total length of all containers when placed linearly = 17×10^6 × 6 = 102 × 10^6 m
= 102 × 10^3 km
= 102000 km < 380000km
They won't reach the Moooon.
one leg of a right triangle is twice as long as the other leg, If the hypotenuse side is 5cm long then what is the measure of the shorter leg (you can leave your answer as a decimal or in radical form)
Answers
Step-by-step explanation:
Let x be the other leg or the base and the first leg is y or the perpendicular. ATQ,
One leg of a right triangle is twice as long as the other leg,
y = 2x
Hypotenuse, H = 5 cm
For a right angled triangle, using Pythagoras theorem,
[tex]H^2=B^2+P^2[/tex]
Putting all the values,
[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]
Other leg,
[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]
Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]
Constance wrote a total of 10 pages over 5 hours.
How many hours will Constance have to spend writing this week in order to have written a total of 20 pages?
Answers
Step-by-step explanation:
10 pages in 5 hours.
our focus is on pages (how long for 20 pages).
so, if we don't see the ratio right away, let's norm the original relationship to 1 page :
10 pages in 5 hours
so,
1 page in 5/10 = 0.5 hours = 1/2 hours
and now : how long for 20 pages ?
1 × 20 pages in 1/2 × 20 hours
20 pages in 10 hours.
formally, we are dealing with a ratio, which is a fraction :
10 pages in 5 hours = 10/5
to keep the value of the fraction, in order to change one of the 2 values to a target value (like 10 pages to 20 pages in our case), we need to multiply the other with the same factor :
10/5 × 2/2 = 20/10
so, again, this tells us 20 pages in 10 hours.
x to the 2nd power =64
Answers
Answer:
8
Step-by-step explanation:
8 *8=64
Answer:
X=8
Step-by-step explanation:
1. Just find the square root of 64, it is 8
2. why? because finding the square root is the opposite of using the 2nd power.
3. you got the answer, it is 8
you can confirm it by using the 2nd power on 8
Which property gives plasma a high electrical conductivity?
O A.
low density of particles
B. repeating crystal structure
Ос.
diverse chemical composition
D. presence of charged particles
Answers
Answer:
D. Presence of charged particles
Step-by-step explanation:
Plasma consists of a medium of gas that has about the same amount of particles that are positively and negatively charged formed due to the ionization of the gaseous atoms forming ions that have ejected some orbital electrons as well as electrons that move in the same manner as gaseous particles within the medium.
At Treetop Middle School, 60% of the students are BOYS. If there are 2400 students, how many students are GIRLS? {Please help a sista out :0}
Answers
Answer:
1440 girls
Step-by-step explanation:
please help me with this???
Answers
Answer:
50.24
explanation
The diameter of the circle is the length of the square which is =16
using the furmla π r = 3.14×16= 50.24
Solve each equation by factoring.
1) a^2- 9a + 14 = 0
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Find the area
17m
8m
15n
Answers
Answer:
[tex]60 \ \text{m}^{2}[/tex]
Step-by-step explanation:
We are given the base, which is 15 meters. When we increase the base, we will obtain the height, which is 8 meters. Now, let's substitute the base and the height in the formula to find the area of the triangle.
[tex]\rightarrow \dfrac{1}{2} \times 15 \times 8[/tex]
[tex]\rightarrow 15 \times 4[/tex]
[tex]\rightarrow 60 \ \text{m}^{2}[/tex]
Thus, the area of the triangle is [tex]\bold{60 \ \text{m}^{2}}[/tex].
Help ASAP with find slope of line
Answers
Hi!
The equation of the line is written in slope-intercept form (y=mx+b) where m stands for the slope.
In order to find the slope of the given line, let's just take a look at our equation.
Hint: what is the coefficient of x?
That's right, 5/4
Hence, the answer is
[tex]\boxed{\boxed{\bold{\frac{5}{4}}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please feel free to ask.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}}[/tex]
Answer:
a.5/4
Step-by-step explanation:
y equals mx plus c, where m is the gradient(slope of line) & c is the constant
∴y equals (5/4)x-5,where 5/4 represents the "m" & -5 is the constant.
Therefore,5/4 is "m" which is the slope(gradient).
Find the solution of x.
Answers
Answer:
c. 29°
Step-by-step explanation:
The measure of the inscribed angle x is half the measure of subtended arc BC.
x = 58°/2 = 29°
help help help please?
Answers
Answer:
$750.00
Step-by-step explanation:
The graph seems like you are multiplying hours worked by 15 to get Money Earned so 15 x 50= $750
!!!PLEASE HELP!!! ASAP
Answers
Answer:
Pretty sure it's 3.5 because...
Step-by-step explanation:
7 ÷ 2 = 3.5
Which value for y makes the equation y - 2.5 = 1.95 true? A. y = 0.78 B. y = 4.875 c. y = 48.75 D. y = 4,875
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Answer: B is the answer
Step-by-step explanation:
may u please help me
Answers
Answer:
swap r with a and you have your answer
r = v^2/a