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Stells [14]
3 years ago
9

The perimeter of XYZ is ___ units.

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Look at the picture.

ZY = 5+3=8

For XY and ZX use the Pythagorean theorem.

XY^2=3^2+4^2\\\\XY^2=9+16\\\\XY^2=25\to XY=\sqrt{25}\\\\XY=5

ZX^2=5^2+4^2\\\\ZX^2=25+16\\\\ZX^2=41\to ZX=\sqrt{41}

The perimetero fo XYZ:

P_{\triangle XYZ}=8+5+\sqrt{41}=\boxed{13+\sqrt{41}}

You might be interested in
Given the data: 0.90 1.42 1.30 1.55 1.63 1.32 1.35 1.47 1.95 1.66 1.96 1.47 1.92 1.35 1.05 1.85 1.74 1.65 1.78 1.71 2.29 1.82 2.
yKpoI14uk [10]

Answer:

Step-by-step explanation:

a) Mean means the average we add all the values in data and divide it by the total number

Mean= 0.9+1.42+1.3+1.55+1.63+1.32+1.35+1.47+1.95+1.66+1.96+1.47+1.92+1.35+1.05+1.8<u>5+1.74+1.65+1.78+1.71+2.29+1.82+2.06+2.14+1.27                                                   </u>

                                                              25

Mean= <u>40.61</u>

             25

Mean= 1.624

Place the values in correct order starting from least

0.9,1.05,1.27,1.30,1.32,1.35,1.35,1.42,1.47,1.47,1.55,1.63,1.65,1.66,1.71,1.74,1.78,1.82,1.85,1.92,1.95,1.96,2.06,2.14,2.29

Median = 1.65 ( this is the middle value odf the data given)

Mode = 1.35 and 1.47

Variance =

in order to find the variance we subtract each data value with mean and square it and then divide all with the total sample size

σ2 = (0.9-1.624)²+ (1.42-1.624)²+(1.3-1.624)²+(1.55-1.624)²+(1.63-1.624)²+(1.32-1.624)²+(1.35-1.624)²+(1.47-1.624)²+(1.95-1.624)²+(1.66-1.624)²+(1.96-1.624)²+(1.47-1.624)²+(1.92-1.624)²+(1.35-1.624)²+(1.05-1.624)²+(1.85-1.624)²+(1.74-1.624)²+(1.65-1.624)²+(1.78-1.624)²+(1.71-1.624)²+(2.29-1.624)²+(1.82-<u>1.624)²+(2.06-1.624)²+(2.14-1.624)²+(1.27-1.624)²                                             </u>

                                         25

σ2=<u> 2.764</u>

         25

σ2 = 0.1105

Standard Deviation = √σ2

σ -= √0.1105

σ = 0.332

Coefficient of variance = Here we divide standard deviation by mean and multiply by 100

Coefficient of Variance = (0.332÷ 1.624) × 100

Coefficient of Variance = 20.47

b)

7 0
3 years ago
Find the distance between the points (-3, 11) and (5, 5).
marshall27 [118]
Formula for distance between two points:

d  = √((x₂-x₁)² + (y₂-y₁)²)

Let point 1 be (-3, 11) and point 2 be (5, 5)

Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.

d = √((x₂-x₁)² + (y₂-y₁)²)

   = √((5- -3)² + (5-11)²)

   = √((5+3)² + (5-11)²)

   = √((8)² + (-6)²)          8² = 8*8 = 64, (-6)² = -6*-6 = 36

   = √(64 + 36)

  = √(100)

  = 10

Distance = 10 units.
5 0
3 years ago
QR is the midsection of triangle GHJ, what is the length of QR?
Xelga [282]

Answer:

Step-by-step explanation:

QR = 27 ÷ 2 = 13.5

6 0
3 years ago
PLEASE HELLP ME! I would appreciate if you can!!
S_A_V [24]

Answer:

(2) A

Step-by-step explanation: easy Math

3 0
3 years ago
What is the solution of 5y + 1=31
gayaneshka [121]

Answer:

y=6

Step-by-step explanation:

edge2020

4 0
2 years ago
Read 2 more answers
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