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nikklg [1K]
2 years ago
9

Two sidewalks are tangent to a circular park centered at P as shown. i need help with 13 a and b

Mathematics
1 answer:
sergey [27]2 years ago
5 0
13. a) Since AC and AB are tangents to the circle, we know that two tangents that meet at an external point are equal.
Hence, AB = AC; so, AB = 40 ft.

13. b) (20 + r)² = 40² + r²
400 + 40r + r² = 1600 + r²
40r = 1200
r = 30

Hence, the diameter is 60 ft.
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Enlarge the triangle by scale factor 0.5 using 3,1 as the centre of enlargement
NISA [10]

Answer:

the points are :

(0,-1)

(0,0)

(-1,3)

(If you are using MathsWatch) For this question the triangle gets smaller so i'm not sure why it says Enlarge the triangle.

6 0
1 year ago
The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is t
djyliett [7]

Option C: 316 is the predicted population when x=15

Explanation:

The regression equation for an exponential data is \log y=0.14x+0.4

Where x is the number of years and

y is the population

We need to determine the predicted population when x=15

The population x can be determined by substituting x=15 in the equation \log y=0.14x+0.4

Thus, we have,

\log y=0.14(15)+0.4

\log y=2.1+0.4

\log y=2.5

Using the logarithmic definition \log _{a}(b)=c then b=a^{c}

\log _{10}(y)=2.5 \Rightarrow y=10^{2.5}

y=316.22776 \ldots

Rounding off to the nearest whole number, we get,

y=316

Thus, the predicted population when x=15 is 316

Hence, Option C is the correct answer.

7 0
2 years ago
According to the food label on a box cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the bo
Inessa [10]

Answer:

1/128 kilograms.

Step-by-step explanation:

First, multiply 16 and 4 to get 64. Since the weight of the box is 1/2 (or 0.5), so we have each cookie's weight at 1/128. Please mark this "brainliest" (the crown) if you like this answer!

also i am 100% sure its the answer i got this answer right in my test!

8 0
1 year ago
there are 64 singers in the choir. the tenors and sopranos are in separate row . there are 8 singers in each row. there are 4 ro
lilavasa [31]
4 since 64/8=8 there are 8 rows and if 4 are filled with tenors the rest must be filled with sopranos
8 0
2 years ago
What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
kotegsom [21]

Answer:

835.49

Step-by-step explanation:

selling price = original cost + markup value

We need to find the markup

markup = original cost * markup percent

             = $784.50 * 6.5%

           = $784.50 *.06.5

           =50.9925

Rounding to the nearest cent

            =50.99

selling price = original cost + markup value

                     =784.50+50.99

                      835.49

6 0
1 year ago
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