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masya89 [10]
3 years ago
5

Multiple Choice 1. The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the t

riangle is 90 cm? (1 point) A. 22.5 cm, 30 cm, and 37.5 cm B. 19.3 cm, 25.7 cm, and 32.1 cm C. 7.5 cm, 11.5 cm, and 32.1 cm D. 10.5 cm, 11.5 cm, and 12.5 cm 2. Is the following always, sometimes, or never true? 6 + 8x – 9 = 11x + 14 – 3x A. always true B. sometimes true C. never true 3. Solve the inequality. Graph the solution set. 5r + 4 ≤ 5
Mathematics
1 answer:
marishachu [46]3 years ago
4 0
3x + 4x + 5x = 12x
=\ \textgreater \  12x = 90
x = 90/12 = 15/2
3x = 3*(15/2) = 45/2 = 22.5 cm
4x = 4*(15/2) = 30 cm
5x = 5*(15/2) = 75/2 = 37.5 cm
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Solve for x Round to the nearest tenth one place after the decimal !
aniked [119]

Answer:

x = 14.4

Step-by-step explanation:

x is sin(angle 24/30)×24

how do we get the angle at 24/30 ?

by using the extended Pythagoras for baselines opposite other than 90 degrees.

c² = a² + b² - 2ab×cos(angle opposite of c)

in our example the angle 24/30 is opposite of the side 18.

so,

18² = 24² + 30² - 2×24×30×cos(angle 24/30)

324 = 576 + 900 - 1440×cos(angle 24/30)

324 = 1476 - 1440×cos(angle 24/30)

1440×cos(angle 24/30) = 1152

cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5

angle 24/30 = 36.9 degrees

x = sin(36.9) × 24 = 14.4

4 0
3 years ago
2x - 5y=-15<br> can someone walk me through this?
HACTEHA [7]
The equation given in the question has two unknown variables in the form of "x" and "y". The exact value of "x" and "y" cannot be determined as two equations are needed to get to the exact values of "x" and "y". This equation can definitely be used to show the way for determining the values of "x" in terms of "y"and the value of "y" in terms of "x". Now let us check the equation given.
2x - 5y = - 15
2x = 5y - 15
2x = 5(y - 3)
x = [5(y - 3)]/2
Similarly the way the value of y can be determined in terms of "x" can also be shown.
2x - 5y = - 15
-5y = - 2x - 15
-5y = -(2x + 15)
5y = 2x + 15
y = (2x +15)/5
   = (2x/5) + (15/5)
   = (2x/5) + 3
So the final value of x is [5(y -3)]/2 and the value of y is (2x/5) + 3.
3 0
3 years ago
Based on the graph below, which point is a solution?
Butoxors [25]

Answer:

A.(5,1) to

Step-by-step explanation:

because the y axis is on a 5 and the x axis doesn't have a question ❓⁉️ so you have (A) to be your answer

4 0
2 years ago
Emil is running a lemonade stand. He sells half of his lemonade in the morning, a quarter of what was left at lunchtime, and a t
masya89 [10]

Emil starts the day with <u>16 liters</u> of lemonade if he is left with 4 liters by the end of the day. Computed using the fractional values given.

Let the initial quantity of lemonade with Emil be x liters.

Quantity sold by Emil in the morning = Half of his lemonade = (1/2)x liters, that is half fraction of x.

Quantity left with Emil = x - x/2 = x/2 liters, that is half fraction of x.

Quantity sold by Emil at lunchtime = Quarter of what was left = (1/4)(x/2) liters = x/8 liters, that is the one-eight fraction of x.

Quantity left with Emil = x/2 - x/8 = 3x/8 liters, that is the three-eight fraction of x.

Quantity sold by Emil in the afternoon = One-third of what was left = (1/3)(3x/8) liters = x/8 liters, that is the one-eight fraction of x.

Quantity left with Emil = 3x/8 - x/8 = x/4 liters, that is the quarter fraction of x.

Now, we are said that Emil closes for the day with 4 liters remaining.

Therefore, x/4 = 4, or, x = 4*4 = 16 liters.

Therefore, Emil started the day with 16 liters of lemonade.

Learn more about fractions at

brainly.com/question/11562149

#SPJ10

6 0
1 year ago
Which is a true statement about angles 1 and 2? O the two angles are supplementary
lana66690 [7]
C neither
Thank you hope this helps
5 0
2 years ago
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