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Troyanec [42]
3 years ago
8

Can someone check this, please (I do report as needed and I do mark brainliest)? Thank you!

Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

Step-by-step explanation:

cotx/cscx=cosx

Start on the left side.

cos(x)  csc(x)

Apply the reciprocal identity to  csc  (x)  .

cos(x)  1/sin(x)

Simplify  

cos(x)   1/sin(x)cos(x)/sin(x)

Rewrite  cos(x)/sin(x)  as  cot(x)  .

cot(x)

Because the two sides have been shown to be equivalent, the equation is an identity.

cos(x)   csc(x)=cot(x)  is an identity

cot(x)−tan(x)/sin(x)cos(x)=csc^2(x)−sec^2(x)  is an identity

You are correct :)

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a clerk earns $7.50 an hr, plus a commission of 5% of sales. if she works a 40 hr week and sells $6300 worth of goods, what does
ehidna [41]

Givens

Work week = 40 hours

Paid 7.50 an hour.

Sells 6300 worth of goods.


Equation

Take home pay = Sales * 5% + 7.50 * number of hours.


Sub and Solve

Take home pay = 6300 * 5% + 7.50 * 40

Take home pay = 6300 * 5/100 + 7.50 * 40

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Answer 615 <<<<

3 0
3 years ago
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Find e-0.3<br><br> A) -0.74<br> B) 0.74<br> C) -1.35
deff fn [24]
E^-0.3 = 0.74 from the calculator
4 0
3 years ago
Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions. Mr. Rivers drove at an average speed of 48 mp
Orlov [11]

Answer:

42 miles.

Step-by-step explanation:

It is given that Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions.

Speed of Mr. Rivers = 48 mph

Speed of Mrs. Rivers = 36 mph

We need to find the distance between them at 10:30 a.m.

10:30 - 10:00 = 0:30 = 30 minutes = 1/2 = 0.5 hour

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In the figure, two parallel lines are cut by two other parallel lines. The measure of one of the angles is labeled. Find the mea
11111nata11111 [884]

Answer:

The measure of the angles are

m∠1=128°

m∠2=52°

m∠3=52°

m∠4=128°

m∠5=128°

m∠6=128°

m∠7=52°

m∠8=52°

Step-by-step explanation:

see the attached figure with numbers to better understand the problem

step 1

Find the measure of angle 5  

we know that

m∠5+52°=180° ----> by consecutive interior angles

m∠5=180°-52°=128°

step 2

Find the measure of angle 8

we know that

m∠8=52° ----> by vertical angles

step 3  

Find the measure of angle 7

we know that

m∠7=m∠8 ----> by corresponding angles

we have

m∠8=52°

therefore

m∠7=52°

step 4

Find the measure of angle 6

we know that

m∠6+m∠7=180° ----> by supplementary angles

we have

m∠7=52°

therefore

m∠6+52°=180°

m∠6=180°-52°=128°

step 5

Find the measure of angle 3

we know that

m∠3+m∠6=180° ----> by consecutive interior angles

we have

m∠6=128°

m∠3=180°-128°=52°

step 6

Find the measure of angle 2

we know that

m∠2=m∠3 ----> by vertical angles

we have

m∠3=52°

therefore

m∠2=52°

step 7

Find the measure of angle 1

we know that

m∠1+m∠3=180° ----> by supplementary angles

we have

m∠3=52°

therefore

m∠1+52°=180°

m∠1=180°-52°=128°

step 8

Find the measure of angle 4

we know that

m∠4=m∠1 ----> by vertical angles

we have

m∠1=128°

therefore

m∠4=128°

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Answer:

y = 6/5x - 2 (or y = 1.2x - 2)

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Step 2 - Divide both sides by 15.

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4 0
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