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djyliett [7]
3 years ago
6

Express your answer exactly

Mathematics
1 answer:
adoni [48]3 years ago
6 0

Answer:

cos(Θ) = 84/85

Step-by-step explanation:

See the attachment.

Sine is opposite divided by hypotenuse. Here, the "opposite" side is -13 and the hypotenuse is 85. Cosine is adjacent divided by hypotenuse. The "adjacent" side is the unlabelled length. We find this by using the Pythagorean Theorem:

b = \sqrt{85^2-(-13)^2} =\sqrt{7225-169} =\sqrt{7056} =84

So, cos(Θ) = 84/85

Hope this helps!

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Three friends each create 4 bags of starter bread dough. After ten days, each of those four bags is then divided into four more
Lapatulllka [165]

Answer:

55 days

Step-by-step explanation:

<u>Number of bags of dough is 192</u>

<u>You have to calculate the number of days.</u>

<em>After 10 days, 4 bags are divided into 4 more bags: 4 + 4 =8</em>

<em>After 20 days: 8 + 8 = 16 </em>

<em>After 30 days: 16 + 16 = 32</em>

<em>After 40 days: 32 + 32 = 64</em>

<em>After 50 days: 64 + 64 = 128</em>

After 55 days: 128 + 64 = 192 (5 days will be considered since it is doubled in 10 days and this time it is divided into half the amount)

Therefore, 55 days pass before 192 bags of dough are created.

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7 0
4 years ago
In how many ways 5 players be assigned to 5 positions on a baseball team, assuming that any player can play any position
Greeley [361]

Answer:

120

Step-by-step explanation:

There are 5 ways to choose the first position, 4 ways to choose the second and so on until we get only 1 way to choose the last position, therefore the answer is 5! = 5 * 4 * 3 * 2 * 1 = 120 ways.

8 0
3 years ago
Find the surface area of a square pyramid with each side of the base measuring 6 cm and the slant height is 12 cm. What are the
Debora [2.8K]
The square base area is 6 x 6 = 36. Then each triangle is the same base and height. Formula for area is 1/2(b)(h). So, each triangle is 1/2(6)(12)=36. So all sides are 36x5=180 units squared.
3 0
3 years ago
Help!!! please what's is the figure​
S_A_V [24]

Hello from MrBillDoesMath!

Answer:

108 cm^2

Discussion:

The area of the logo  =

area of Trapezoid on top (I)  + area of triangle on bottom (II)

I  = (1/2) h ( b1 + b2)            h = altitude, b1, b2 = bases

  = (1/2)  6  ( 6  + 12)

  = (1/2) 6 ( 18)

  = 54

II  = (1/2) b h

   = (1/2) (12) ( 15 - 6)               => altitude of triangle = 15 - 6 NOT (1/2) 15

   =  54

I + II= 54 + 54 = 108

Thank you,

MrB

3 0
3 years ago
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