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ollegr [7]
3 years ago
5

Can someone help???

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

Answer: I Included a picture below.

Hope this helps, if you have any questions please leave a comment. :)

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Christopher walks 5km south then walks on a bearing of 036º until he is due east of his starting point. How far is he from his s
harina [27]

Christopher's distance from his starting point is 3.6 km

Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point, His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.

Since we have both the opposite and adjacent sides of a right-angled triangle,

From trigonometric ratios,

tanФ = opposite/adjacent

tanФ = x/5 km

Now Ф = 036º

So, tan36º = x/5km

x = 5 km(tan36º)

x = 5 km (0.7265)

x = 3.633 km

x ≅ 3.6 km to 1 decimal place.

So, Christopher's distance from his starting point is 3.6 km.

Learn more about bearing here:

brainly.com/question/11684993

5 0
3 years ago
4. Using the numbers 3, 2, and 4, which of these problems would have a solution of 4? (1 point)
Andru [333]
The answer is = (3-2)x4 = (3-2)=1, 1x4=4
8 0
4 years ago
0.5s +1=7 + 4.5s<br> S =
kvv77 [185]

Answer:

s = -\frac{3}{2}

Step-by-step explanation:

Solve for the value of s :

0.5s + 1 = 7 + 4.5s

-Combine both 0.5s and 4.5s by subtracting 0.5s by 4.5s :

0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s

-4s + 1 = 7

-Subtract 1 to both sides:

-4s + 1 - 1 = 7 - 1

-4s = 6

-Divide both sides by -4 :

\frac{-4s}{-4} = \frac{6}{-4}

s = -\frac{3}{2}

So, the value of s is -\frac{3}{2}.

3 0
3 years ago
The volume of this prism is cubic inches.
Sidana [21]

Answer:

140

Step-by-step explanation:

The prism shown is a rectangular prism

Volume of a rectangular prism = length * width * height

Given length: 3 1/2

Given width: 5

Given height: 8

Volume = 3.5 * 5 * 8 = 140

7 0
3 years ago
Read 2 more answers
Emily brought $35 to the fair. At the fair, she spent $16 on ride tickets and she also bought lunch. She had $7 when she left th
MatroZZZ [7]

Answer:

Emily spend $12 on lunch.

The correct option is Option A i.e 23 plus x equals 35; x equals 12

Step-by-step explanation:

Let amount spent on Lunch = x

Total money Emily brought to the fair = $35

Money Spend on ride tickets and lunch = 16+x

Money Left with Emily = $ 7

We need to find how much Emily spend on lunch

SO,

We can write the equation 16+x+7=35\\

As, total money is 35 and $7 are still with emily

Solving to find value of x

16+x+7=35\\x+23=35\\x=35-23\\x=12

So, Emily spend $12 on lunch.

The correct option is Option A i.e 23 plus x equals 35; x equals 12

6 0
3 years ago
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