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Troyanec [42]
2 years ago
13

Question 1: Classify the system of equations and identify the number of solutions. 3 = 4x + y 2y = 6 − 8x Answers: inconsistent;

none consistent, independent; one consistent, dependent; one consistent, dependent; infinite Question 2: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 6x + 3y = 6 2x + y = 2 Answers: (0, 2) (1, 0) (2, −2) (−2, 0)
Mathematics
1 answer:
Mariana [72]2 years ago
7 0

Answer:

1st: consistent and dependent

2nd: (-2,0). Simply put the called and check.

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Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 46°, b
horrorfan [7]
We will use the law of cosines
<span>side a² = b² + c² -2bc • cos(A)
</span><span>side a² = 729 + 196 -2*27*14 * cos (46)
</span><span>side a² = 925 -(756 * 0.69466)
</span>side a² = <span><span>399.83704 </span>
side a = </span><span><span><span>19.995925585 </span> </span> </span>
We could round that to 20
a = 20 b = 27 c =14

We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
<span>area = square root (s • (s - a) • (s - b) • (s - c))

where s is the semi-perimeter </span>
semi-perimeter<span> = (side a + side b + side c) ÷ 2</span>
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (<span>30.5 - 20) • (</span><span>30.5 - 27) • (</span><span>30.5 - 14))</span>
area = square root (30.5 • (10.5) • (3.5) • (<span>16.5))</span>
<span>area = square root (18494.4375)
</span> <span><span><span>area = 135.9942553934  </span> </span> </span>which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm

 




7 0
2 years ago
A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement i
Diano4ka-milaya [45]

Answer:

strawberry yogurt makes up less than 1/3 of their sales

Step-by-step explanation:

In the first graph, the strawberry yogurt is a little larger than 1/4. Second, the yogurt increases instead of decreases n the first six months. And third, the store actually sold a little less than 3,000 yogurts in November than in August.

3 0
2 years ago
Marty teaches music in his community. He teaches three classes a day, and each class has fewer than 8 students. If Marty teaches
Molodets [167]
It is c becase x<8 translates to x is less than 8
8 0
2 years ago
Frank started out in his car travelling 45 mph. When Frank was 1 3 miles away, Daniel started out from the same point at 50 mph
oee [108]

Answer:

It will take 2.6 hours by Daniel to catch up with Frank.

Step-by-step explanation:

Let Daniel will catch up with Frank after t hours.

Now, Frank will go 13 miles in \frac{13}{45} = 0.288 hours.

So, the distance traveled by Frank in (t + 0.228) hours with 45 mph speed will be equal to the distance traveled by Daniel in t hours with 50 mph speed.

Hence, 45(t + 0.288) = 50t

⇒ 5t = 13

⇒ t = 2.6 hours.

Therefore, it will take 2.6 hours by Daniel to catch up with Frank. (Answer)

8 0
2 years ago
What is 119,000,003 in expanded form
stira [4]
100,000,000+10,000,000+9,000,000+3
3 0
2 years ago
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