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sukhopar [10]
2 years ago
9

Solve for the variable when the hypotinuse is 10 and you know one angle, 42

Mathematics
1 answer:
Serga [27]2 years ago
3 0

Answer: The other sides are 6.7 units and 7.4 units

Step-by-step explanation: Every right angled triangle can be solved by use of the trigonometric ratios. We can use the sine, cosine or tangent depending on which sides are given. If one angle has been given as 42 degrees, then the side opposite that angle can be calculated as,

Sin 42 = opposite/hypotenuse

Sin 42 = a/10

We cross multiply and we now have

Sin42 x 10 = a

0.6691 x 10 = a

a = 6.69 (which is approximately 6.7)

If one of the other two angles was given as 42, then the third angle would be calculated as 180 - (90 + 42) {sum of angles in a triangle equals 180} and that equals 48.

To calculate the third side,

Sin48 = opposite/hypotenuse

Sin48 = y/10

We cross multiply and we have

Sin48 x 10 = y

0.7431 x 10 = y

y = 7.43 (which is approximately 7.4)

Therefore the two other sides are 6.7 and 7.4

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Match each compound inequality on the left to the graph that represents its solution on the right.​
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Answer: First answer goes with second graph

Second answer goes with third graph

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Step-by-step explanation:

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3 years ago
14. What does the term claims exchange transaction mean?
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3 years ago
Evaluate the expression below when x=-1. 2x^2-5/x+9
Greeley [361]

Hey there!


2x^2 - 5 / x + 9

= 2(-1)^2 - 5/ -1 + 9
= (2(-1)^2 - 5) / (-1 + 9)

= (2(1) - 5) / 8

= (2 - 5) / 8

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≈ -0.375


Therefore, your answer is:

-3/8 OR -0.375

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT TO EACH OTHER!

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

3 0
1 year ago
Graph the line<br>y-3x= 3​
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use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3
NISA [10]

Answer:

Approximate solution is 541.

Step-by-step explanation:

y' = 2xy, Δx = 0.4.

Make a table:

x       y            y'            y' Δx + y

1        2           4             4*0.4 +  2 = 3.6   <---this is the new y value.

1.4    3.6        10.08      7.632

1.8    7.632    27.48     18.624

2.2  18.624   81.95      51.70

2.6  51.70    268.85   159.24

3     159.24  955.44    541.4

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2 years ago
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