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strojnjashka [21]
2 years ago
10

If log 3 = x and log 5 = y, express log 45 in terms of x and y.

Mathematics
1 answer:
Marysya12 [62]2 years ago
5 0

Answer:

I believe that the answer is A

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The captain of a ship at point A and sailing toward point B observes a lighthouse at L and finds angle LAC to be 36*30'. After s
wel

Answer:

The distance between B and lighthouse is 3.8688 km

Step-by-step explanation:

Given:

The angle made from ship to lighthouse is 36.5 degrees

and that of point B is 73 degrees.

To Find:

Distance  Between Point B and Lighthouse

Solution:

<em>Consider a triangle LAB(Refer the attachment )</em>

And Point C is on the line AB as A i.e. ship is sailing to B

So C is at 5 km from A.

Now In triangle LAC,

Using Trigonometry Functions as ,

tan(36.5)=LC/AC

LC=tan(36.5)*AC

=0.7399*5

=3.6998 km

Now In triangle LBC,

As,

Sin(73)=LC/LB

LB=LC/(Sin(73))

=3.6998/0.9563

=3.8688 km

LB=3.8688 km

6 0
3 years ago
What is the radius of 8km
lorasvet [3.4K]

Answer:

The radius is 4 because since the diameter is 8, the radius is half of the diameter.

8 0
3 years ago
Read 2 more answers
Please help!
Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

              2                   10

              4                  20

              6                  30

              8                  40

Compute the  rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5

The  rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0
3 years ago
How much money do you earn in 1 hour if you earn 20 in 4 hours
VikaD [51]

Answer:

let’s make a Unit rate.

$20/4 hours = $5 per hour

So you earn $5 in 1 hour if you earn $20 in 4 hours.

hope this helps and pls mark me brainliest if it did ;)

6 0
3 years ago
Read 2 more answers
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans
Valentin [98]
15x + 28y = 116
x + y = 6

that would be ur system of equations

7 0
3 years ago
Read 2 more answers
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