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QveST [7]
3 years ago
7

The length of the hypotenuse of a right triangle is three times the length of the shorter leg. The length of the longer leg is 1

2. What is the length of the shorter leg. Question 12 options: 2√3, √14.4, 6√2, 3√2
Mathematics
2 answers:
k0ka [10]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Say the short leg is x and the hypotenuse is y. Then, y = 3x (because "The length of the hypotenuse of a right triangle is three times the length of the shorter leg.")

Use the Pythagorean Theorem: a^2 + b^2 = c^2 (where a and b are the legs and c is the hypotenuse). Here, we can say a = x and b = 12 and c = y. So:

x^2 + 12^2 = y^2

x^2 + 144 = (3x)^2

x^2 + 144 = 9x^2

8x^2 = 144

x^2 = 18

x = \sqrt{18} =3\sqrt{2}

The answer is D.

Hope this helps!

mote1985 [20]3 years ago
5 0

Answer:

Last one: 3√2

Step-by-step explanation:

Let the shorter length be S

Then,

The hypotenuse would be: 3S

Using pythagoras theorem,

(3S)² = S² + 12²

9S² = S² + 144

8S² = 144

S² = 18

S = sqrt(18)

S = 3sqrt(2)

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Describe the relationship between the number of at bats and the number of hits using the data in the scatter plot.
Fynjy0 [20]

Answer:

The number of at bats increases, the number of hits also increases

Step-by-step explanation:

Given

See attachment for graph

Required

Relationship between the plots

From the attached graph, we can observe that there is an upward trend in the graph; in other words, when the number of at bats increases, the number of hits also increases

Hence, the relationship between them is that: an increment in at bats causes an increment in hits.

5 0
3 years ago
What is 4+3-1x22 plz help
cricket20 [7]
4+3-1x22 
4+3-22
7-22 
-15 
So -15 is the answer
5 0
3 years ago
Read 2 more answers
Help me. I don't understand. Please help me find X and IK
sertanlavr [38]

Answer:

x=4\\\\y=6\\\\IK=47

Step-by-step explanation:

Two Tangent Theorem: Tangents which meet at same point are equal in length.

Here tangents at J and H meet at I.

Hence\ HI=IJ\\\\y^2-10=4y+2\\\\y^2-4y-12=0\\\\y^2-6y+2y-12=0\\\\y(y-6)+2(y-6)=0\\\\(y-6)(y+2)\\\\y\ can\ not\ be\ negative\ as\ in\ that\ case\ IJ\ will\ be\ negative.\\\\Hence\ y=6\\\\IJ=4y+2=4\times 6+2=26\\\\\\\\Tangents\ at\ J\ and\ L\ meet\ at\ K.\ Use\ two\ tangent\ theorem.\\\\JK=KL\\\\5x+1=6x-3\\\\6x-5x=1+3\\\\x=4\\\\JK=5x+1=5\times 4+1=21\\\\\\IK=IJ+JK=26+21\\\\IK=47

6 0
3 years ago
A father’s age now is three times the age that his son was 4 years ago. In
Mice21 [21]
Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.

4 years ago, the son was:

s-4

So, his father is currently:

3(s-4)

=

3s-12

Therefore:

f = 3s-12

In twelve years, the son will be:

s+12

And the father will be:

f+12

This can also be written as:

3s-12+12 as the fathers younger age would be f = 3s+12

=

3s

So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36

Son’s current age: 36

We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.

2(24)+24 = 72

Father’s current age: 72










7 0
1 year ago
If 4/5 of a population of a certain town is considered to be middle class and the population of the town is 2000 how many people
const2013 [10]
First, you would need to create an equation for this problem.
\frac{4}{5} = \frac{x}{2,000}

Next, you would cross multiply. 
5x = 8,000

Now, all you would have to do is isolate the x. To do this, you would divide both sides by 5. 
x = <span>1,600

1,600 people are considered middle class. 

I hope this helps!</span>
8 0
3 years ago
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