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djyliett [7]
3 years ago
5

The blue segment below is a diameter of 0. What is the length of the radius of the circle

Mathematics
2 answers:
WINSTONCH [101]3 years ago
7 0

Answer:

<h2>B. 5.1 units.</h2>

Step-by-step explanation:

Givens

The diameter is

d=10.2u

Now, by definition, the radius is

r=\frac{d}{2}

Replacing given values, we have

r=\frac{10.2u}{2}\\ r=5.1 u

Therefore, the right answer is B.

Norma-Jean [14]3 years ago
3 0

Answer:

Option (B) 5.1 units

Step-by-step explanation:

Since the radius of the circle is half of its diameter and given the diameter of the circle is 10.2 units then the radius would be $ \frac{10.2}{2} = 5.1 units $

Thus the answer.

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Find the value of the length <br> x<br> rounded to 1 DP.
bagirrra123 [75]

Length of x is 98.2 m

<u>Step-by-step explanation:</u>

Step 1:

Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.

tan 27° = opposite side/adjacent side = opposite side/9

∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m

Step 2:

Use this side and trigonometric ratio cosine to find the value of x.

cos 49° = adjacent side/x = -29.46/x

∴ x = -29.46/cos 49° = -29.46/0.30

     = 98.2 m (negative value neglected)

5 0
3 years ago
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Consider the function f(x)=x3+15x2+74x+120. If f(x)=0 for x=−6, for what other values of x is the function equal to 0? List the
jasenka [17]

Answer:

other x values are -5,-4

Step-by-step explanation:

f(x)=0 for x=−6

Apply synthetic division to get the quotient . using that we find other two values of x

-6                1           15             74          120

                   0          -6           - 54          -120                    

                  -------------------------------------------------

                    1           9             20         0

the quotient is x^2+9x+20=0

now factor the left hand side, product is 20 and sum is 9

x^2+9x+20=0\\(x+5)(x+4)=0\\x+5=0 , x=-5\\x+4=0, x=-4

So  other x values are -5,-4

8 0
3 years ago
Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts early and is alread
BARSIC [14]

Answer:

The word per indicates the slope (m) of a linear function, y=mx +b.Using d for x and p for y , the equation representing Ashely's reading is p = 10d. Carly begins on page  40 which represents b, the y intercept of a linear function which indicates an initial amount.  So the equation representing Carly's reading is p=8d + 40.

3 0
3 years ago
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You have decided to stock fewer tomatoes and instead stock more squash. You decided to stock 30 tomatoes each day. About how man
Katyanochek1 [597]

Answer:

2 sales

Step-by-step explanation:

Based on the plot of discrete probability, it can be seen that the distribution is symmetrical and the peak occurs at the stock of 30. If there is a sale of less than 30 such as 20 or 25, the seller is at a loss. Similarly, if the demand is above 30 such as 35 or 40, the seller is also at a loss. Therefore, there is approximately 2 sales to be lost each day based on the decision made by the seller.

7 0
3 years ago
What are the excluded values?
OverLord2011 [107]

Answer:

c. x = -9.

Step-by-step explanation:

The excluded value is the value of x which gives a value of 0 to the denominator, so that value would be x =  -9.

Note: (x - 7) / 0 is undefined.

7 0
3 years ago
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