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Elina [12.6K]
2 years ago
14

1/6z= -10 A. -60 B. -4 C. -5/3 D. -16

Mathematics
1 answer:
Darya [45]2 years ago
4 0

Answer:

z = -60

Step-by-step explanation:

1/6z= -10

To find the value for z, multiply each side by 6

6*1/6z= -10*6

z = -60

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(Geometry)
kirill115 [55]

Answer:

Set up trig ratio using tangent.

Tan theta = opp/adj

Tan theta = 500/800

Tan^-1 (500/800) = 32 degrees

4 0
3 years ago
Connor works in a department store selling clothing. He makes a guaranteed salary of $300 per week, but is paid a commission on
melisa1 [442]

Answer:

Earnings = 308.75 ---- (a)

Earnings  = 300 + 0.05x -- (b)

Step-by-step explanation:

Given

Base\ Salary = 300

Commission = 5\%

Solving (a): Sales of $2175 in a week.

His total earnings is calculated as thus:

Earnings = Base\ Salary + Commission * Sales

Earnings = 300 + 5\% * 2175

Earnings = 300 + 108.75

Earnings = 308.75

Solving (b): Sales of $x in a week.

His total earnings is calculated as thus:

Earnings = Base\ Salary + Commission * Sales

Earnings  = 300 + 5\% * x

Convert percent to decimal

Earnings  = 300 + 0.05 * x

Earnings  = 300 + 0.05x

6 0
3 years ago
Melanie is taking flute lessons. Her flute teacher charges $32.50 per hour. If Melanie has 2.5 hours of lessons each week, what
faltersainse [42]

2.5 x 32.50 = 81.25 a week

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=12x%20%5E%7B2%7D%20%20%2B%204x%20%2B%2020" id="TexFormula1" title="12x ^{2} + 4x + 20" alt="1
Nesterboy [21]
<h3>Answer: </h3>

The GCF is 4

The polynomial factors to 4(3x^2+x+5)

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

  • 12 = 2*2*3
  • 4 = 2*2
  • 20 = 2*2*5

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

4 0
3 years ago
ABCD is a cyclic quadrilateral in which AB parallel to CD if angle D is equals to 70 degree find all the remaining angles ​
Dennis_Churaev [7]

Answer:

angle a is 110

angle B is 110

angle C is 70

3 0
3 years ago
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