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Alex73 [517]
3 years ago
7

Cos 45°×tan 60°/cot 30° find the value​

Mathematics
1 answer:
ycow [4]3 years ago
8 0
The answer should 1.4
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John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i
Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>

4x+2y=222

<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>

2x+3y=213

<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.

2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51

Hence, y = 51

<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>

First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30

Hence, skiing costs $30 per hour and boating costs $51 per hour.

4 0
3 years ago
Helpppppp !!!!!!!!!!!
horrorfan [7]

Answer:

A

Step-by-step explanation:

The total amount equals 40 when added together and the yellow is 5. 40 divided by 5 is 8 which makes 1/8

4 0
3 years ago
What is the answer for pie in math
salantis [7]

Answer:

first how do I change my name

5 0
3 years ago
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The first 5 terms of a sequence are shown below:
slamgirl [31]

Answer:

c: -7

Step-by-step explanation:

7 0
3 years ago
What is 1 1/4 × 4 3/4 =
Luden [163]
First, we need to turn this into an improper fraction. Therefore we have: 1 1/4 = 5/4 and 4 3/4 = 19/4
Now we multiply across and eliminate as needed.
5/4 * 19/4 = 95/16
Finally, we reduce and convert to a mixed fraction.
16 goes into 95, 5 times with a remainder of 15. Therefore, we can conclude that our answer is: 5 15/16.
4 0
3 years ago
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