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3 years ago

What is up guys!

Mathematics

1 answer:

melisa1 [442]3 years ago

5 0

Answer:

Yes, No, Yes

Step-by-step explanation:

Use the Pythagorean theorem:

a² + b² = c²

Verify this for each line:

28² + 45² = 53²
2809 = 2809
Yes

33² + 56² = 64²
4225 ≠ 4096
No

36² + 77² = 85²
7225 = 7225
Yes

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Can someone please help me with these

OLga [1]

Answer:

1. 1072.6

2. 753.6

3. 194.2

4. 59.5

5. 4848.3

6. 1818.3

Step-by-step explanation:

We have to use the trigonometric functions sin, cos, and tan. Remember the mnemonic SOH-CAH-TOA when solving these problems. (sinθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent)

1. tan(40)=900/x

x=900/tan(40)

x=1072.6

2. tan(37)=x/1000

1000tan(37)=x

753.6=x

3. sin(18)=60/x

x=60/sin(18)

x=194.2

4. sin(48)=x/80

80sin(48)=x

59.5=x

5. tan(22)=x/12000

12000tan(22)=x

4848.3=x

6. tan(33)=x/2800

2800tan(33)=x

1818.3=x

7 0

3 years ago

Red roses come 3 to a package, and white roses come 5 to a package. If an equal number of red and white roses are wanted to make

Katen [24]

Answer:

B :- 15

Step-by-step explanation:

Given:

A package of red rose contains = 3 pieces

A package of white rose contains = 5 pieces

If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?

Solution:

As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.

Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24

Multiples of 5 :- 5, 10, 15, 20, 25

Lowest common multiple is 15, that means 15 is the minimum number of pieces of each that can be purchased to make bouquets.

And number of packets of red rose have to purchase = 3 $\times$ 5 = 15, 5 packages.