CB is tangent to ⊙A at point C. Find the radius.
Circle A is shown. Line segment A C is a radii. Line segment B C is a tangent and it intersects with the circle at point C. A line is drawn from point B to point A and a point is drawn where the line intersects with the circle. The length of the radius is r, the length of C B is 8, and the length of B to the circle is 5.
Answers
Answer:
The length of the radius is 3.9 units
Step-by-step explanation:
From the details of the circle given, the circle is constructed with MS Visio and attached here;
From the drawing, we have;
The legs of the right triangle ABC = AC and CB
The given length of the leg CB = 8 units
The length from B to the circle on the hypotenuse side = 5 units
The length of the radius, AB = r
By Pythagoras's theorem, we have;
AB² = AB² + CB²
AB = r + 5 By segment addition postulate
Therefore;
(r + 5)² = r² + 8²
∴ (r + 5)² - (r² + 8²) = 0
r² + 10·r + 25 - r² - 8² = 0
10·r - 39 = 0
r = 39/10 = 3.9
The radius, r = 3.9 units long.
Answer:
39/10
Step-by-step explanation:
right on edg
Related Questions
plsssssss help i need it.
Answers
On a fair number cube numbered 1 through 6, what is the likelihood of rolling a three on the first try?
Group of answer choices
certain
likely
impossible
unlikely
Answers
unlikely
Step-by-step explanation:
there is a 1/6 chance
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Answers
Answer:
B. (-3, -17)
Step-by-step explanation:
One of the legs of a right triangle measures 6 cm and the other leg measures 9 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answers
Answer: 10.8
Step by step explanation:
Use Pythagorean theorem
C^2= a^2+b^2
C^2=6^2+9^2
C=sqrt(6^2+9^2)
C=10.8
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5 is 1/2 of what number?
Answers
Answer:
10
Step-by-step explanation:
10/2=5
Answer:
10?
Step-by-step explanation: 5 time 2 is 10
Abcd is a parallelogram
Answers
Step-by-step explanation:
The shape of quadrilateral ABCD changes as the moving platform swings around, but its side lengths do not change. Both pairs of opposite sides are congruent, so ABCD is a parallelogram by the Parallelogram Opposite Sides Converse. By the definition of a parallelogram, — AB — DC .
There are two jars. One jar has 2 orange marbles and 3 red marbles. The other jar has 1 blue marble and 4 green marbles. If Jeff randomly draws one marble from each jar, what is the probability that he will draw a red marble and a green marble?
Answers
Answer:
3/5
Step-by-step explanation:
because in one jar there are total 5 marbles. 2 orange and 3 red. so if he pick randomly then he will 3/5.
What is the surface area of the prism
Answers
Answer:
168 meters squared
Step-by-step explanation:
For one side 9*2, for one side 6*2, for the last side 6*9. Add them all and multiply by 2 to get 168.
A square piece of cardboard has a perimeter of 32 inches. How long is each side?
Answers
Answer:
8 inches
Step-by-step explanation:
All the sides of a square are equal so to find the side you can divide the perimeter by 4.
32 / 4 = 8
Answer:
here you go
Step-by-step explanation:
An open box is to be made from a square piece of cardboard, 32 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.
A. -2x^3+32x^2
B.-4x^3+64x^2
C.4x^3-64x^2+32x
D.-4X^3+64x^2-32x
E.4x^3-128x^2-1024x =volume = x(32-2x)^2
Please help and explain why
Answers
9514 1404 393
Answer:
A function 2
Step-by-step explanation:
"Rate of change" in this context refers to the slope of the line.
Function 1
The slope of the line is the "rise" divided by the "run". That is, the vertical change between two points divided by the horizontal change between two points. Usually, we like to choose points where the line crosses gridline intersections. One of these is the y-intercept (0, -2). Another is 2 units right and 1 unit up at (2, -1).
The slope of function 1 is then ...
m = rise/run = 1/2
__
Function 2
The equation for function 2 is written in the "slope-intercept form." That is, the form is ...
y = mx + b . . . . . . . . where m is the slope and b is the y-intercept
Comparing this form to the given equation, we find ...
m = 5/2, b = -2
The slope is m = 5/2.
__
The slope of function 2 is 5/2. That is greater than the slope of function 1, which is 1/2.
Function 2 has the greater rate of change.
Find the X and Y intercepts
Answers
Answer:
y intercept is 5 and the x intercept is 10
Step-by-step explanation:
The intercept is the number at which a line intercept an axis.
Hope this helps :)
Please help due tonight
Answers
Answer:
A
Step-by-step explanation:
because it is anything less than -2
please help me!!!!!!!!!!!!!
Answers
Answer:
I'm not positive on this but I think the answer might be C 27 sin (39)/ sin (51)
Step-by-step explanation:
jaimie lu deposited $950.00 Into her new savings account no other deposits or withdrawals were made the bank pays an annual percentage rate of 5.75% compounded semiannually after 2 1/2 years how much interest will she earn
Answers
Answer:
$1094.64 is the answer
I'm so clueless please help!
I have no clue how to give people brainliest points or whatever u wanna call it
Can someone help me??
Answers
Answer:
Nothng to it just mark them
Step-by-step explanation:
The first three terms of a geometric sequence are as follows.
81. 27,9
Find the next two terms of this sequence
Answers
Answer:
3 and 1
Step-by-step explanation:
the sequence is dividing each # by 2
Simply the monomials below
(-8x⁴ y³)•(2x⁵ y²)+7x⁹ y⁵
Answers
Answer:
-9x^9y^5
Step-by-step explanation:
Do the multiply first:
-16x^9y^5+7x^9y^5
=x^9y^5(-16+7)
=-9x^9y^5
Answer:
-9x^9y^5
Step-by-step explanation:
this could be wrong since there was a lot of terms but oh well
Which of the following are valid names for the triangle below? Check all that apply.
Answers
Factor the common factor out of each expression.
-21a + 35
Answers
Answer:
7 each
Step-by-step explanation:
-21a + 35
7(-3a) + 7(5)
What is the simple interest earned on a $4,350 investment for 5 years at a rate of 2%?
Answers
Answer:
$435
Step-by-step explanation:
I = Prt = ($4,350)(0.02)(5) = $435
Lucas works for a salary of $2,396 per month. His deductions include $360 of federal income tax, $148 for Social Security, $35 for Medicare, and a $95 insurance premium. What is his monthly net pay?
Answers
Answer:
1658
Step-by-step explanation:
add them all up then subtract his salary per month
Answer:
Lucas monthly net pay is $1758
Step-by-step explanation:
Lucas works for a salary of $2,396 per month.
His deductions include $360 of federal income tax,
$148 for Social Security,
$35 for Medicare, and
a $95 insurance premium.
Now,
2396 - 360 - 148 - 35 - 95 = 1758
Thus, Lucas monthly net pay is $1758
-TheUnknownScientist
Find the measure of ∠HGF
Answers
Answer:
1/2FJH ARC
Step-by-step explanation:
The measurement of angle HGF=1/2 FJH Arc
it cover by arc FJH
Please help me out with this and explain if you can No links no stealing points
Answers
Answer:
y = 31,x= 148
Step-by-step explanation:
the explanation is in the image
that's all....have fun
Mrs. Pace opened an account with a deposit of $3,500 at the end of 5 years , the account was $4,690
Answers
Answer:
she earned a total of 1190 in 5 years. I don't know if this helps.
Step-by-step explanation:
The rate of interest with the given parameters is 6.8%.
Given that, Principal =$3,500, time period =5 years and the amount =$4,690.
We need to find the rate of interest.
What is the rate of interest?The interest rate formula helps in calculating the amount of money to be repaid towards a loan taken and the interest over the investment on fixed deposits, mutual funds, etc. The interest rate formula also helps in calculating the interest on credit cards. The interest rate for a given amount on simple interest can be calculated by the following formula,
Interest Rate = (Simple Interest × 100)/(Principal × Time)
Now, SI=Amount-Principal=4690-3500=1,190
rate of interest=(1,190×100)/(3,500×5)=6.8%
Therefore, the rate of interest with the given parameters is 6.8%.
To learn more about a rate of interest visit:
https://brainly.com/question/28236069.
#SPJ2
Select all the angles that would have a cosine ratio of -sr3/2.
A. 510°
B. -5pi/6
C. -11pi/6
D. 120°
E. 19pi/6
F. 390°
Answers
how do you do Inequalities o-o help meh pleaseeeeeeeeeee
Answers
Answer:
To solve an inequality use the following steps:
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Step-by-step explanation:
Up there!
But for real, quick question for fifty points.
Answers
Answer:
8√3
Step-by-step explanation:
adj = 16√3 ÷ 2 = 8√3
Answer:
D)16
Step-by-step explanation
we are given a 30-60-90 triangle and the longer side of the triangle
remember the properties of 30-60-90 triangle
the hypotenuse is twice as much as the shorter legthe longer leg is the square root of 3 times shorter legas we are given the longer leg we'll use the second property
let the shorter leg be x
so our equation is
[tex]\displaystyle x\sqrt{3}=16\sqrt{3}[/tex]
divide both sides by √3:
[tex]\displaystyle \frac{x\sqrt{3}}{\sqrt{3}}=\frac{16\sqrt{3}}{\sqrt{3}}[/tex]
[tex]\displaystyle x=16[/tex]
hence,
the length of the shorter leg is 16
What is 1 * 10 ^ - 3 written in standard form?
Answers
Answer:
In standard form, 1 * 10^-3 would be 1/1000.
Step-by-step explanation:
This cartoon expresses a viewpoint that led to...
A) the passage of a federal statute prohibiting foreign companies from contributing to presidential campaigns.
B) a Supreme Court ruling declaring it unconstitutional for members of the same political party to serve consecutive terms as president.
C) creation of a congressional committee to investigate private presidential conduct.
D) the ratification of a constitutional amendment establishing term limits for presidents.
Answers
Answer:The answer is D
Step-by-step explanation:
the ratification of a constitutional amendment establishing term limits for presidents.
What’s the answer?!!!!!!
Answers
Answer:
Try Yes.....
.................
Answer:
no, because the short sides add up to be more than the 8