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USPshnik [31]
3 years ago
5

What is YZ to the nearest tenth?A scalene triangle XYZ is given. The length between XZ is 14 and XY is 12. The angle YXZ is 98 d

egrees.
Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0

Answer:

Step-by-step explanation:

cos rule

YZ=sqrt(14^2+12^2-2*14*12*cos98deg)

=19.67

il63 [147K]3 years ago
5 0

Answer:

Step-by-step explanation:

Given two sides and the angle between, the cosine rule can be used to find the third side.

YZ^2 = XZ^2 + XY^2 - 2*XZ*XY*cos(X)

YZ = (14^2 + 12^2 - 2*14*12*cos98deg)^(1/2)

= 19.666

= 19.67

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Let g(x) be the reflection of f(x) in the x-axis. What is the function rule for g(x)? Let g(x) be the reflection of f(x) = 3x +
Vika [28.1K]
Reflection across the y axis means multiply the whole function by -1

so

f(x)=3x+12
times -1
g(x)=-3x-12 is the answer


answer is C
not sure why you put an arrow to choice A, but it's wrong


C is the right answer
8 0
3 years ago
Read 2 more answers
A dog trainer has 104 ft of fencing that will be use to create a rectangular work area for dogs. If the trainer wants to enclose
Andrews [41]

Answer:

The dimensions of the work area are 16 ft by 36 ft

Step-by-step explanation:

Let

x ----> the length of the work area in feet

y-----> the width of the work area in feet

we know that

The perimeter of the work area is equal to

104=2(x+y)

simplify

52=(x+y)

y=52-x ----> equation A

The area of the work area is equal to

576=xy ---> equation B

substitute equation A in equation B

576=x(52-x)

576=52x-x^2

x^2-52x+576=0

solve the quadratic equation by graphing

using a graphing tool

The solutions are

x=16 ft, y=36 ft

or

x=36 ft, y=16 ft

see the attached figure

therefore

The dimensions of the work area are 16 ft by 36 ft

6 0
3 years ago
Tiffany had to pay a sales tax for the outfit she bought at the store. What is sales tax?
fenix001 [56]

Answer:

4

Step-by-step explanation:

taxes are collected for the government

6 0
3 years ago
9. Determine whether or not the number 257 is prime.
Sladkaya [172]

Answer:

257 is prime.

Step-by-step explanation:

To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.

In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)

  • 257 is odd, so it is not divisible by 2.
  • The sum of its digits is 14, therefore, it is not divisible by 3.
  • 257 ends in 7, therefore it's not divisible by 5.
  • 257/ 7 = 36.71 so it's not divisible by 7.
  • 257/ 11 = 23.36 so it's not divisible by 11
  • Finally 257 / 13= 19.76 so it's not divisible by 13.

Therefore, 257 is prime.

7 0
3 years ago
What is the altitude of the equilateral triangle?
MAXImum [283]
It’s not going to be C because 10 is already in the question
7 0
3 years ago
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