MATHEMATICS HIGH SCHOOL

If X=3, What is the area of a triangle with sides, 6x ,7x, and 21x? A.117 in² B.378 in² C.189 in² D. 58.5 in²

Answers

Answer 1
Answer:

Answer:

The given sides does not form a triangle

Step-by-step explanation:

The given sides does not form a triangle

We know the triangle property which states that the sum of any two sides of the triangle should be greater than the third side.

Here given th esides of the triangle are 6x,7x,21x

6x+7x=13x < 21x

for any value of x the above equation does not satisfy.

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Write an inequality to model the situation. Thomas earned $44 or more.A. t ≥ 44

B. t ≤ 44

C. t > 44

D. t < 44

Answers

Answer

A. t ≥ 44

Explanation

Remember the sing ≥ (greater or equal than), means that Thomas earned $44 or more.

Let t represent the mount of money that Thomas earned.

Since the sing ≥ (greater or equal than), means that Thomas earned $44 or more, the inequality that model the situation is:

t\geq 44
Hello,

Answer A
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Find the surface area of a rectangular prism with base 5 m by 2 m and height 8 m. a. 15 m² b. 80 m² c. 30 m² d. 132 m²

Answers

Answer:

Total area = 2 * base area + side area

Lateral area = base perimeter * height

Total area = 2*(5*2)+2(5+2)*8

2*10 + 2*7*8=

20+112=132m²

Solve the equation 3(x+2)=5x-2

Answers

      3(x + 2) = 5x - 2
  3(x) + 3(2) = 5x - 2
        3x + 6 = 5x - 2
     - 3x         - 3x     
                6 = 2x - 2
             + 2        + 2
                8 = 2x
                2     2
                4 = x
3(x+2)=5x-2\n3x+6=5x-2\n5x-3x=6+2\n2x=8\nx=4

A machine that makes softballs can produce 30 balls per hour. In a 5 day work week of 8 hours each day, how many softballs will the machine produce?

Answers

30 balls per hour x 8 hours = 240 balls per day 240 balls x 5 days= 1200 balls

What is the y-intercept of y=5(6.8)^x
A. 5
B. 6.8
C. 1
D. x

Answers

Answer: A. 5

Step-by-step explanation:

The given exponential equation:

y=5(6.8)^x

To calculate the y intercept , we need to substitute x =0 , the given equation, we get

y=5(6.8)^0\n\n\Rightarrow\ y=5(1)......................\text{Since}\ a^0=1\n\n\Rightarrow y=5

Hence, the y intercept of the given exponential equation = 5.
Hello,

answer A

5*6.8^0=5*1=5

In rectangle KLMN, KM = 10x + 24 and LN = 64. Find the value of x.

Answers

_________X=30____
_________-________

Answer:

The answer is 4

Step-by-step explanation:

10x+24=64

10x=64-24

10x=40

x=40/10

x=4
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