MATHEMATICS HIGH SCHOOL

Classify the triangle based on side lengths 5, 7 and 8.A. right
B. Acute
C. obtuse
D. no triangle can be formed with given side lengths

Answers

Answer 1
Answer: a\leq b\leq c-sides\ of\ a\ triangle\ then\ a+b > c\ and\n\nif\ a^2+b^2=c^2\ then\ triangle\ is\ right\n\nif\ a^2+b^2 > c^2\ then\ triangle\ is\ acute\n\nif\ a^2+b^2 < c^2\ then\ triangle\ is\ obtuse


a=5;\ b=7;\ c=8\n\na^2+b^2=5^2+7^2=25+49=74\n\nc^2=8^2=64\n\na^2+b^2 > c^2\n\nThe\ triangle\ is\ acute\ (answer:B.)

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4. The admission fee at a play is $2.50 for each child and $4.00 for each adult. On opening night, the 1000 seat auditorium was sold out! When all the money was counted, they had $3400. How many adults attended the opening night's show? A.100

B.400

C.500

D.600​

Answers

600 adults and 400 children attended the opening night's show

Let x represent the number of children and y represent the number of adult.

Since 1000 seat auditorium was sold out!, hence:

x + y = 1000   (1)

they had $3400. Hence:

2.5x + 4y = 3400    (2)

Solving equations 1 and 2 simultaneously gives:

x = 400, y = 600

600 adults and 400 children attended the opening night's show.

Find out more on equation at: brainly.com/question/2972832
Answer is D. 600 adults

An assembly line produces 20 items per hour. If the line runs 24 hours per day, 7 days week, how many items are made by this machine in one month? (Assume 30 days/month)3,360
13,440
14,400
100,800

Answers

20x24x30 = 14,400
14,400 items

Consider the equation 6x+3y=9. Which equation, when graphed with the given equation, will form a system with infinitelymany solutions?
y+ 2x - 3
Oy+ 2x - 9
Oy - 2x+3
Oy--2x9

Answers

Answer:

y=-2x+3

Step-by-step explanation:

6x+3y=9\n \n3y=-6x+9\ny=-2x+3

step 1: subtract 6x on both sides

step 2: divide all numbers by 3 to get y by itself.

Find the range for f(x) = x^2 1, for x < 0.y ≥ 1
y > 1
y < 1
y ≤ 1

Answers

For x < 0, range is y ≤ 1.

Solve.: -2 1/3 -(-5) A:-7 1/3 B: 2 2/3 C: 3 2/3 D: 3 1/3

Answers

Step-by-step explanation:

-2 1/3 -(-5) can be simplified as follows:

-2 1/3 + 5

= -7/3 + 15/3 (converting mixed numbers to improper fractions)

= 8/3

Therefore, the solution is 8/3, which can also be expressed as 2 2/3.

So, the answer is (B) 2 2/3.

What value of x makes the equation true? 3x+21=8x-4

Answers

Answer:

x=5  

Step-by-step explanation:

3 times 5= 15

15+21= 36

8 times 5 = 40

40-4=36
3x+21=8x-4
3x-8+21=-4
3x-8x=-4-21
-5x=-4-21
-5x=-25
x=5
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