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PilotLPTM [1.2K]
3 years ago
13

Which side of xyz is the longest?

Mathematics
2 answers:
Lorico [155]3 years ago
6 0

Answer:

B) XZ

Step-by-step explanation:

First we find the measure of the missing angle.  The sum of the angles of a triangle is 180; this means the missing angle is

180-(60+43) = 180-103 = 77

The shortest side of a triangle is across from the smallest angle; the largest side of a triangle is across from the largest angle.  The largest angle is ∠Y; this makes the side opposite this angle, XZ, the longest side.

telo118 [61]3 years ago
3 0

Answer:

THE ANSWER IS LETTER B ON APEX

Step-by-step explanation:


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/Short Wheels is a small home business that designs and builds skateboards. Its employees glue
lara [203]

Answer:

See below and attachment

Step-by-step explanation:

Model A

  • 10 sheets and 2 wheels

Model B

  • 12 sheets and 4 wheels

Available sheets = 140, Available wheels = 40

Model A = x, Model B = y

<u>1. Inequality  for maple veneers:</u>

  • 10x + 12 y ≤ 140
  • 12y ≤ - 10x + 140
  • y ≤  -10/12x + 140/12
  • y ≤ -5/6x + 35/3

<u>2. Inequality for wheel sets:</u>

  • 2x + 4y ≤ 40
  • 4y ≤ -2x + 40
  • y ≤ -2/4x + 10
  • y ≤ -1/2x + 10

<u>3. See attached for the graphs </u>

6 0
4 years ago
Which trigonometric ratios are correct for triangle ABC? Check all that apply
sergij07 [2.7K]
Consider an angle M with measure m≠90°, in a right triangle.

Let

OPP denote the length of the side opposite to M,
ADJ denote the length of the side adjacent to M, and 
HYP denote the hypotenuse.

then: 

Sin(M) = OPP/HYP
Cos(M)= ADJ/HYPP
Tan(M)=OPP/ADJ


Back to our problem, 

using the Pythagorean we can find the length of AB: 

|AB|^2+|AC|^2=|BC|^2\\\\|AB|^2+9^2=18^2\\\\|AB|^2=18^2-9^2\\\\|AB|^2=(18-9)(18+9)=9 \cdot 27=9 \cdot 9 \cdot3\\\\|AB|=9 \sqrt{3} &#10;

Sin(C)= \frac{OPP}{HYP}=\frac{9 \sqrt{3} }{18}= \frac{ \sqrt{3} }{2}
Cos(B)= \frac{ADJ}{HYP}= \frac{9 \sqrt{3}}{18}= \frac{ \sqrt{3}}{2}
Tan(C)= \frac{OPP}{ADJ}= \frac{9 \sqrt{3} }{9}= \sqrt{3}
Sin(B)= \frac{OPP}{HYP}= \frac{9}{18}= \frac{1}{2}
Tan(B)= \frac{OPP}{ADJ}= \frac{9}{9 \sqrt{3}}= \frac{1}{ \sqrt{3} }= \frac{ \sqrt{3}}{3}


Answer: 1, 3, 4



5 0
3 years ago
What is the equation of the line whose y-intercept is 3 and slope is 1?
SVETLANKA909090 [29]

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

m is the slope

b is the y intercept

if m = 1 and b = 3 then

y = x + 3

7 0
4 years ago
Determine the x and y intercepts of the following function: y=1/2x-3
brilliants [131]

Answer:

y = 1/2x - 3

X Intercept: (6, 0)

Y Intercept: (0, -3)

5 0
3 years ago
Choose all of the equations that are equivalent to 8k = 20
Orlov [11]
It’s definitely is A,D, and C
8 0
3 years ago
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