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stellarik [79]
3 years ago
14

AB is tangent to circle O at B. Find the length of the radius, r, for AB = 5 and AO = 13.

Mathematics
2 answers:
alekssr [168]3 years ago
8 0
ΔABO is a right triangle with AB⊥BO. The radius of the circle is BO. The Pythagorean theorem applies.
AO² = AB² + BO²
13² = 5² + r²
169 -25 = r²
r = √144 = 12

The radius (r) is 12.
MariettaO [177]3 years ago
7 0

the radius is twelve

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1-116 1.2.6
ankoles [38]

Answer:

A. 30 adults; B. 24 not dolls

Step-by-step explanation:

A.

\begin{array}{rcl}\text{No. of adults} & = & \text{No. of visitors} \times \text{Fraction who are adults}\\& = & \text{100 visitors} \times \dfrac{\text{3 adults}}{\text{10 visitors}} \\& = & \textbf{30 adults}\\\end{array}

B.

If five-eighths of the prizes were dolls, then three-eighths of the prizes were not dolls.

\begin{array}{rcl}\text{No. not dolls} & = & \text{No. of prizes} \times \text{Fraction not dolls}\\& = & \text{64 prizes} \times \dfrac{\text{3 not dolls}}{\text{8 prizes}} \\& = & \textbf{24 not dolls}\\\end{array}

3 0
3 years ago
The width of a rectangle is 2 meters less than its length, and the perimeter is 32 meters. Find the length and width of the rect
cupoosta [38]
The perimeter is equal to 2(width) + 2(length). let's call the width w and the length L.

so 32 = 2w + 2L
the width is given as 2 meters less than the length, so w = L - 2

32 = 2(L - 2) + 2L
32 = 2L - 4 + 2L
32 = 4L - 4
36 = 4L
9 = L

so our length is 9 meters.

w = L - 2
w = 9 - 2
w = 7

so our width is 7 meters.
3 0
3 years ago
Classify each polynomial by degree and number of terms. 1. Quartic monomial v 5x? - 7x + 9 2. Cubic binomial 2x3 + 3 < 3. Qua
ElenaW [278]

The degree of a polynomial is categorized by its highest power of its leading variable.

<h3>Degree and number of terms of a polynomial</h3>

Given the following polynomial functions, we are to classify them based on their degrees and the number of terms

For the polynomial function 5x^4 - 7x + 9

The degree is 4 being quartic and there are three terms in the expression

For the polynomial  2x3 + 3 < 3, the degree is 3 (cubic) with three terms in the expression.

For a Quintic quadnomial​, the degree of the polynomial is 5.

Learn more on polynomials here: brainly.com/question/4142886

4 0
2 years ago
Jasmine buys the magic carpet on sale for $374. She saved $66 off the regular price. What percent was the price discounted?
Furkat [3]

Answer:

15%

Step-by-step explanation:

Let c represent the regular price of the carpet.

Then:  

sale price = regular price less discount

    $374    =           c     -     $66

Adding $66 to both sides isolates (solves for) c:

$374 + $66 = c  =   $440.  This is the regular price.

 $66

---------- = 0.15                      This is the fraction of the regular price by

$440                                   which the regular price is reduced.

Then the percentage of this discount was   0.15(100%) = 15%

8 0
3 years ago
What is 125% of 144?
Monica [59]

Answer:

180

hope this helps :)

3 0
2 years ago
Read 2 more answers
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