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melisa1 [442]
3 years ago
7

If a die is rolled one time find these probabilities of getting less thab 7

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0
If the dice is only rolled once, the possibility of getting less than7 is100%
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Given: m∠EYL=72°<br> Find: mEHL , mLVE
White raven [17]

Answer:

Part 1) The measure of arc EHL is 108\°

Part 2) The measure of angle LVE is 54\°

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

m

we have

m

substitute

72\°=\frac{1}{2}(y-x)

144\°=(y-x)

y=144\°+x ------> equation A

Remember that

x+y=360\° -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

x+(144\°+x)=360\°

2x=360\°-144\°

x=216\°/2=108\°

Find the value of y

y=144\°+x

y=144\°+108\°=252\°

therefore

The measure of arc EHL is 108\°

The measure of arc EVL is 252\°

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

m

we have

x=108\°

substitute

m

3 0
3 years ago
What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
Butoxors [25]
Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)
7 0
3 years ago
Read 2 more answers
19 is 25% of what number?
zepelin [54]

Answer:

19/25 * 100 = 76%

Step-by-step explanation:

3 0
3 years ago
What is the answer to 4(x + 1) = -6
snow_tiger [21]

Answer:

-5/2

Step-by-step explanation:

With Distributive property, we get 4x + 4 = -6.  Subtract 4 from both sides and we get 4x = -10.  Divide both sides by 4 and we get x = -5/2.

3 0
3 years ago
Read 2 more answers
Which of the following are zeros of<br> f(x)=(x-6)(x+3)(x+5)
Thepotemich [5.8K]
I’m learning this as well. It’s really easy.

The zeros or roots are x= 6, -3, -5.
6 0
3 years ago
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