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3 years ago

Prove that sin30/cos30+sin60/cos60=sin90

Mathematics

2 answers:

aev [14]3 years ago

6 0

you just have to expand the trig. functions into their corresponding values and then finish them off.

vovikov84 [41]3 years ago

5 0

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

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4/5% of 500 rounded to the nearest hundreds

ra1l [238]

Answer:

I am not quite sure what you are asking so i will give you the answer for 4.5% and 45%.

4.5% of 500= The answer i got for this one is 4 so i am assuming you mean 45.

45% of 500= 225 but rounded would be 200

Step-by-step explanation:

3 0

3 years ago

Isabella and Tanner are running in a 100-mile relay race. First, Isabella runs for 2 hours and hands off to Tanner, who bicycles

Murljashka [212]

Answer:

5 miles per hour and 15 miles per hour.

Step-by-step explanation:

Given:

Isabella and Tanner are running in a 100-mile relay race.

First, Isabella runs for 2 hours and hands off to Tanner, who bicycles for 6 hours to the finish line.

Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed.

Question asked:

what are their speed ?

Solution:

Let average running speed of Isabella = $x$

Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed means,

Tanner's average cycling speed = $4x-5$

Now, $Distance = speed\times time$

As we know that the total distance is 100 mile which is covered by both together,

Distance traveled by Isabella + Distance traveled by Tanner = 100

$x\times2 + (4x-5)\times6 = 100\\2x +24x-30=100\\26x-30 =100$

Adding both sides by 30

$26x =1 30\\$

Dividing both sides by 26

$x=5$

Isabella's average running speed $x=5 \ miles \ per \ hour$

Tanner's average cycling speed = $4x-5$ = $4\times5-5 =20 -5 = 15 \ miles\ per \ hour$

Therefore, Isabella's average running speed is 5 miles/hour and Tanner's average cycling speed is 15 miles/hour.

5 0

4 years ago

A spinner Has five equals sectors color red, yellow, green, blue, orange. what is the probability of landing on a yellow sector

andre [41]

Answer:

1/25 or .04

Step-by-step explanation:

probability of landing on a yellow sector first = 1/5

probability of landing on a blue sector=1/5

and then you multiply the two. (1/5)(1/5)=1/25

7 0

3 years ago

Find m1 and m2 . Tell which theorem can be used. m1 = by the… m2 = by the…

harkovskaia [24]

122° and angle 1 are alternate interior angles and hence they are equal.

m1 = 122°

122° + angle 2 = 180° [sum of co interior angles is 180°]

angle 2 = 180° - 122°

m2 = 58°

3 0

3 years ago

The side of an office building in hamburg Germany is in the shape of a parallelogram the area of the side of the building is abo

irakobra [83]

Answer:

47 meters

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

My answer:

Given

The building is about 2150 square meters
The height of the building: 25 meters

As we know, the formula to find the area of a parallelogram is:

A = the base* the height

=> the base in this question is:

= The area / the height

= 2150 / 25 = 86 meters

As we can see in the photo, x + 39 meters = the base

=> x = the base - 39 meters

= 86 meters - 39 meters

= 47 meters

3 0

4 years ago

Prove that sin30/cos30+sin60/cos60=sin90​

Prove that sin30/cos30+sin60/cos60=sin90