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kogti [31]
3 years ago
9

If there are 90 projects and eight get chosen to continue in the competition.What is the probability ( in percents) that your pr

oject will get chosen?
Mathematics
1 answer:
KiRa [710]3 years ago
7 0

Answer:

7.2% ...................

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If the largest angle of a triangle is 120° and it is included between sides of 1.5 and 0.5, then (to the nearest tenth) the larg
12345 [234]

Answer:

1.8 units.

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:

b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).

Simplifying gives:

b^2 = 3.25.

Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).

This means that the length of the third side is 1.8 units!!!

3 0
3 years ago
Can you simpilfy the expression of: 6x-8y-5x+3y<br><br>Answer in comments
Romashka-Z-Leto [24]

Answer:

Hey there. Ur answer is x-5y

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
There are 195 adults and 320 children at a zoo. The zoo makes a total of $6,515 from the entrance fees, and the cost of an adult
Ostrovityanka [42]

Answer:

a+c=27

195a+320c=6515

Step-by-step explanation:

adult (a): 195

children (c): 320

total $: $6515

child $: 27

a+c=27 --> c=-a+27

195a+320c=6515

sub the first equation into the 2nd equation to get a=17

sub a=17 into c=-a+27 to get c=10

so, an adult ticket is $17 and a child ticket is $10.

6 0
2 years ago
At what point on the graph of y=2e^X -1 is the tangent line parallel to the line y= 5x -1
IgorLugansk [536]
Paralell has same slope
y=mx+b
m=slope
y=5x-1
when is the slope 5?

take the derivitive of 2e^x
f'(2e^x)=2f'(e^x)=2e^x

that is the slope
5=2e^x
divide both sides by 2
2.5=e^x
take the ln of both sides
ln2.5=x

when x=ln2.5 they are paralell
5 0
3 years ago
Pleaseee helppppp!!!
maria [59]

Answer:

Addition property of equality

Step-by-step explanation:

3/4 was added to each side

4 0
3 years ago
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