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o-na [289]
3 years ago
12

The expression on the left side of an equation is shown below.

Mathematics
1 answer:
kifflom [539]3 years ago
3 0

9514 1404 393

Answer:

  (d)  -2(x +5)

Step-by-step explanation:

For an infinite number of solutions, the left and right sides of the equal sign must have equivalent expressions.

<u>Left side</u>

  -5(x +2) +3x

  = -5x -10 +3x

  = -2x -10

  = -2(x +5)

<u>Right Side Choices</u>

(a) -5x +15 +2x = -3x +15

(b) -5x -10

(c) x -2x +2 +3x = 2x +2

(d) -2(x +5) = -2x -10 . . . . . . . matches left-side expression

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Find the remaining sides and angles. Round your answers to the nearest tenth. Show your work.
zubka84 [21]
Answer: These are all the sides and angles:
a = 3
b = 18.76
c = 19
A = 9.1°
B = 80.9°
C = 90°

Explanation:


As per the usual convention the side c is opposite to the angle C, side a is opposite to angle a, and side b is opposite to angle B.

That means that c is the hypotenuse of the triangle.


Then, a is one leg, and b is the other leg.


Therefore, you can use Pythagorean theorem to find the unknown leg, b:

c² = a² + b² ⇒ b² = c² - a²
⇒ b² = 19² - 3² = 352
⇒ b = √352 = 18.76

Now you can use any trigonometric ratio to find one of the unknowm angles.

I wll use sine ratio to find the angle opposite to a:


sin (A) = a / 19 = 3 / 19 

⇒ A = arcsin (3/19) ≈ 9.1°.

Then, the other angle is: B = 180° - 9.1° - 90° = 80.9°

And those are all the sides and angles:
a = 3
b = 18.76
c = 19
A = 9.1°
B = 80.9°
C = 90°

6 0
3 years ago
Amy uses two thirds of a yard fabric for each pillow she makes how many yards of fabric will she need in order to make 8 pillows
Aneli [31]
2/3 yard= 1 pillow

To find the total yards needed for 8 pillows, multiply 2/3 yard per pillow by 8 pillows.

= 2/3 * 8
multiply numerators; multiply denominators

= (2*8)/(3*1)

= 16/3
convert to a mixed number

= 5 1/3 yards needed


ANSWER: 5 1/3 yards is needed to make 8 pillows.

Hope this helps! :)
8 0
3 years ago
How does the job satisfaction score for weeks 5-8 compare to weeks 1-4?
MrRa [10]

The correct comparison for Weeks 5-8 is higher than Week 1-4, hence, the job satisfaction for Week 5-8 is 17% higher.

<u>Job Satisfaction Score</u> :

  • Week 1 = 3.50
  • Week 2 = 3.40
  • Week 3 = 3.30
  • Week 4 = 3.60
  • Week 5 = 4.20
  • Week 6 = 4.00
  • Week 7 = 4.10
  • Week 8 = 3.90

<u>Job Satisfaction for week 1 - 4</u> :

  • Week 1 + Week 2 + Week 3 + Week 4
  • (3.50 + 3.40 + 3.30 + 3.60) = 13.80

<u>Job Satisfaction for Week 5 - 8</u> :

  • Week 5 + Week 6 + Week 7 + Week 8
  • (4.20 + 4.00 + 4.10 + 3.90) = 16.20

<u>Difference</u><u> between the two categories</u> :

[(Week 5 - 8) - (Week 1-4)] / Week 1-4] × 100%

(16.20 - 13.80) / 13.80 × 100%

(2.4 / 13.80) × 100%

0.1739 × 100%

= 17.39%

Therefore, the job satisfaction for Week 5 - 8 is about 17% higher than Week 1 - 4

Learn more :brainly.com/question/13218948

8 0
3 years ago
HELPPPPP PLESSEEE THIS IS FOR MY EXAMMM
Gelneren [198K]

Answer:

I think it is 80 12

Step-by-step explanation:

7 0
3 years ago
Jesse used 7/12 of a can of broth in his recipe. Maddy used 2/3 of a same-sized can of broth in her recipe.
Soloha48 [4]
Jesse used less broth
6 0
3 years ago
Read 2 more answers
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