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shtirl [24]
3 years ago
7

Please Help, Math question. What is the prime factorization of 86? Use * for multiplication.

Mathematics
2 answers:
notsponge [240]3 years ago
6 0

Answer:

2*43

Step-by-step explanation:

Alecsey [184]3 years ago
5 0

Answer:

2 * 43

Step-by-step explanation:

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The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Check all that apply.
Dominik [7]

<u>Answer-</u>

  • YZ = 9 cm
  • XZ=9\sqrt2
  • XZ is the longest segment in triangle XYZ.

<u>Solution-</u>

Triangle XYZ is a right angle triangle with ∠Y=90°

Triangle XYZ is also an isosceles triangle, as

∠X =45°= ∠Z

Therefore, triangle XYZ is a right angle isosceles triangle.

So,

XY = YZ = 9 cm

Applying Pythagoras theorem,

\Rightarrow XZ^2=XY^2+YZ^2\\\\\Rightarrow XZ^2=9^2+9^2\\\\\Rightarrow XZ^2=2\times 9^2\\\\\Rightarrow XZ=\sqrt{2\times 9^2}=9\sqrt2

In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.


6 0
3 years ago
Read 2 more answers
What is the value of x in the equation (5x+3)?
tatyana61 [14]

Answer: The value of x is 2

Step-by-step explanation:

I just subtracted from both sides and you get 2 and another way to say this is  5-3 and 3-3

6 0
3 years ago
Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
mezya [45]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

5 0
3 years ago
Which statement does not describe the tangent function?
Gnesinka [82]

Answer:the cycle repeats every 2pi radians

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Use trigonometric ratios to find the indicated side
iragen [17]

Answer:

a = 139.1

b = 56.2

Step-by-step explanation:

A. Reference angle = 68°

Opp = a

Hyp = 150

Therefore:

Sin 68 = opp/hyp

Sin 68 = a/150

150*sin 68 = a

a = 139.1 (nearest tenth)

B. Reference angle = 68°

Adj = b

Hyp = 150

Therefore:

Cos 68 = adj/hyp

Cos 68 = b/150

150*cos 68 = b

b = 56.2 (nearest tenth)

4 0
3 years ago
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