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Alika [10]
3 years ago
11

How many triangles can be made if one angle of a triangle is 95 degrees and another angle is obtuse?

Mathematics
1 answer:
const2013 [10]3 years ago
7 0

That would be zero.


Obtuse means more than 90 degrees. A triangle's angles add up to 180 degrees so can't have two obtuse angles.



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Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are
schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

E=\#weeks*P(S>120)=52*0.09012=4.68

The nearest answer is C. 5 weeks.

6 0
3 years ago
What do I type in the yellow boxes?
PolarNik [594]

Answer:

x=-2

Step-by-step explanation:

x= -b/2a

b=4

a=1

x=-4/2*1

x=-4/2

x=-2

8 0
2 years ago
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Could someone please help me with this? Solution set of lx^2+mx+n=0 is...?
IgorLugansk [536]

Answer:

Simplifying

lx2 + mx + n = 0

Solving

lx2 + mx + n = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1mx' to each side of the equation.

lx2 + mx + -1mx + n = 0 + -1mx

Combine like terms: mx + -1mx = 0

lx2 + 0 + n = 0 + -1mx

lx2 + n = 0 + -1mx

Remove the zero:

lx2 + n = -1mx

Add '-1n' to each side of the equation.

lx2 + n + -1n = -1mx + -1n

Combine like terms: n + -1n = 0

lx2 + 0 = -1mx + -1n

lx2 = -1mx + -1n

Divide each side by 'x2'.

l = -1mx-1 + -1nx-2

Simplifying

l = -1mx-1 + -1nx-2

Step-by-step explanation:

Hope this helped you!

6 0
3 years ago
Solve each equation in the interval from 0 to 2pi. Round your answer to the nearest hundredth.
kirill115 [55]

I think the answer is b. cos(pi theta)= -0.6

6 0
3 years ago
Find the area of the parallelogram
BartSMP [9]
6*14=84
the answer is 84cm²
7 0
3 years ago
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