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Phantasy [73]
3 years ago
15

Find the missing length of the longer leg in the 30° – 60° – 90° triangle. short leg = 3

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

3 root 3

Step-by-step explanation:

in a 30 60 90 degree triangle the side lengths are always in the ratio 1 2 and root 3

if the shortest leg is 3

that means the other legs ar

6 and 3 root 3

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Shawn thinks that helium prices next year might increase by 10%. He plans to buy 7 small balloons and x large balloons. He creat
Anna11 [10]

Answer:

P = 7.7 C + 1.1 XC

Step-by-step explanation:

From the question, it is noted that the price of helium required to fill each of the balloons would increase by 10%. Let the current price of helium be C, so that;

10% of C = 0.1 C

The price of helium next year = C + 0.1 C

                        = 1.1 C

Cost of 7 small balloons = 1.1 C * 7

                         = 7.7 C

Cost of X large balloons = 1.1 C * X

                         = 1.1 XC

The total price, P for helium next year = 7.7 C + 1.1 XC

Thus, the equation to find the total price of helium that would fill the balloons next year is;

P = 7.7 C + 1.1 XC

4 0
3 years ago
There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of number o
lubasha [3.4K]

Answer:

Lonnie is not correct

Step-by-step explanation:


4 0
3 years ago
How do You solve this problem
babymother [125]
The answer is going to be 41
8 0
3 years ago
3(4)<br> Solve 3(x-9)=21
Bas_tet [7]

Answer:

X=16

Step-by-step explanation:

Solve 3(x-9)=21   IF X = 16

16-9 = 7

3X7= 21

7 0
3 years ago
Read 2 more answers
g Given the following premises: (1) a∧(b∨a) (2) ~c→~a (3) ~g→~a (4) g→e (5)~(d∨h) Prove the Conclusion: c∧~h?
KIM [24]

Answer:

See the argument below

Step-by-step explanation:

I will give the argument in symbolic form, using rules of inference.

First, let's conclude c.

(1)⇒a  by simplification of conjunction

a⇒¬(¬a) by double negation

¬(¬a)∧(2)⇒¬(¬c) by Modus tollens

¬(¬c)⇒c by double negation

Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.

An alternative approach to De Morgan's law is the following:

By contradiction proof, assume h is true.

h⇒d∨h by addition

(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.    

8 0
4 years ago
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