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stealth61 [152]
3 years ago
9

What is the length of the hypotenuse of the triangle? Write your answer as an exact answer.

Mathematics
2 answers:
klemol [59]3 years ago
4 0

Answer:

AB = \sqrt{65} units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AB² = AC² + BC²

       = 7² + 4²

       = 49 + 16

       = 65 ( take the square root of both sides )

AB = \sqrt{65}

anastassius [24]3 years ago
3 0

Answer: the answer is c or 57

Step-by-step explanation:

we have to use the formula a^2+b^2=c^2

*it doesn’t matter what order we put them*

let: 7 be a^2 and 4 be b^2

7^2 is 49 and 4^2 is 8

49+8=57

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Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

NR=24\ units

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

NM = MO = ON =16\sqrt{3}

NR is perpendicular bisector to MO such that

MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3} .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units

Therefore the height of the triangle is

NR=24\ units

6 0
3 years ago
Read 2 more answers
Increase 220 by 15% please
rjkz [21]
Lets do this step by step.

1st.) what is 15% as a decimal 
15% = 0.15 

2nd.) multiply 
220 x 0.15 = 33

3rd) we add that 33 and 220 since this its asking for the increase
220 + 33 = 253

Answer = 253 
6 0
3 years ago
find the measure of the vertex anlge of an isosceles triangle if the measure of one base angle is 36°
atroni [7]
Because it is an isosceles triangle, the two base angles have to be the same, so
36°+36°=72°
angles in all triangles add up to 180°, so
180°-72°=108°
unknown=108°
5 0
3 years ago
Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t
NARA [144]

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

  • the sample size is given as 100
  • the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

                                            P(| \bar{X}-\mu|

Here converting the values in z form gives

P(-2

Substituting values

P(-2

From z table

P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\

So the probability that the sample mean  will lie within 2 values of μ is 0.9544.

5 0
3 years ago
Solve for given variable​
Ilya [14]
X = 180 - 90 - 59 = 31
4 0
3 years ago
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