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3 years ago

In the triangle below, determine the value of a.

Mathematics

2 answers:

iren [92.7K]3 years ago

7 0

To be able to solve the problem above, we use trigonometric functions and their definitions. From the given, it would be useful to use the sine function which is equal to the ratio of the opposite length and the hypotenuse. We calculate as follows:

sin theta = opposite / hypotenuse
sin 47 = a / 51
a = 37.30

Anna35 [415]3 years ago

5 0

51sin(47) because 51 is the hypotenuse and a is the opposite so we use sine because sine=opp/hypotenuse therefore sin(47)=a/51 then rearrange the formula to make a the subject the final answer is 37.3 to the nearest 3 significant figures

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Factor

Virty [35]

4y - 20.......u need to find a common factor that can go into 4y and 20.....the only common factor is 4. So u can factor that out.....4 goes into 4 one time (but do not forget the y) and 4 goes into 20 five times....4(y - 5)

4(y - 5)...u can also check ur answer by distributing the 4 through the parenthesis and getting 4 * y - 4 * 5 = 4y - 20

5 0

3 years ago

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A tree's height increase by 15%. If a tree is 23 feet high, how tall will it be in one year ?

Ghella [55]

Increased height:-

$\\ \sf\longmapsto 23\times 15\%$

$\\ \sf\longmapsto 23\times \dfrac{15}{100}$

$\\ \sf\longmapsto \dfrac{345}{100}$

$\\ \sf\longmapsto 3.45$

Now current height:-

$\\ \sf\longmapsto 23+3.45=26.45ft$

8 0

2 years ago

What is the volume of a box with length 1 m, width 8 m, and depth 6 m?

Georgia [21]

Answer:

Here is the answer mate. Hope it helps. Please rate my answer and mark as brainlist if you find it helpful.

4 0

2 years ago

Read 2 more answers

At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a w

Tcecarenko [31]

Answer:

3.08 miles

Step-by-step explanation:

Total distance = 10 miles
Total time = 2 hours
Distance walked = x
Speed walked = 2 mph
Distance cycled = 10 - x
Speed cycled = 15 mph

Using the given data we can have the equation below to the time:

x/2 + (10 - x)/15 = 2
30x/2 + 30(10 - x)/15 = 30(2)
15x + 20 - 2x = 60
13x = 60 - 20
13x = 40
x = 40/13
x = 3.08 miles rounded to 2 decimal places

7 0

3 years ago

2. Four less than six times a number is 32. Write and solve an equation.

zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

+4 + 4

6x = 36

Now we divide 6 into both sides of the equation to single out the x.

6x = 36

6 6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0

2 years ago