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svetoff [14.1K]
3 years ago
8

Use trigonometric identities to find the exact value sin 10° cos 50° + cos 10° sin 50°

Mathematics
1 answer:
ANTONII [103]3 years ago
8 0

Answer:

Step-by-step explanation:

Sin A Cos B + Cos A Sin B = Sin (A +B)

Sin 10 cos 50  + Cos 10 Sin 50 = Sin (10 + 50) = Sin 60 = √3/2

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Two small planes leave Sacramento and LA, which are 380 miles apart, and travel toward each other. If one plane travels 30 miles
Anettt [7]
The sum of their speeds is 380 miles per hour. The difference of their speeds is 30 miles per hour. Then the faster plane is traveling at
.. (380 +30)/2 = 205 miles per hour

The slower plane's speed is 30 miles per hour less, so it is traveling at
.. 205 mph -30 mph = 175 miles per hour
7 0
3 years ago
Find a solution to the linear equation 14x−y=−14 by filling in the boxes with a valid value of x and y.
kozerog [31]

Answer:

28x=y

Step-by-step explanation:

28x=y because 14x-y=-14 plus y on both sides=

14x=-14y then add 14 to both sides=

28x=y

8 0
2 years ago
How do you find direct variation. I’m having trouble understanding some of these examples.
Rufina [12.5K]
Direct variation is a relation that has the form

y = kx

where k is the constant of proportionality.

If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.

Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?

Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:

y = kx

We are given one data point, 5 gallons cost $15.
We plug in  5 for x and 15 for y and we find k.

y = kx
15 = k * 5
k = 3

Now that we know that k = 3, we rewrite the relation using our value of k.

y = 3x

This is the answer to part a).

Part b)

We use our relation, y = 3x, and we plug in 13.8 into x and find y.

y = 3x

y = 3 * 13.8

y = 41.4

The price of 15 gallons of gas is $41.40.
5 0
3 years ago
I need help with this , 15-17
vladimir1956 [14]

Answer:

-2

Step-by-step explanation:

4 0
2 years ago
In the rhombus, m∠1 = 40°. Find m∠2.
den301095 [7]

Answer:

Option C is correct.

Step-by-step explanation:

Given: A rhombus.  m∠1 = 40°

To find: m∠2

We know that Rhombus is a parallelogram with all equal sides.

⇒ Opposite sides of the Rhombus are parallel.

Then Diagonal act as a traversal for parallel sides.

So, m∠2 = m∠1  ( Alternate Interior Angles are equal )

     m∠2 = 40°

Therefore, Option C is correct.

5 0
3 years ago
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