MATHEMATICS HIGH SCHOOL

NEED HELP ASAPEstimate the sum of 3.19 + 1.69 = ________ by rounding each addend to the nearest tenth.
A. 3
B. 3.9
C. 4
D. 4.9

Answers

Answer 1
Answer:

Answer:

D

Step-by-step explanation:

3.19 become 3.20 . 1.69 becomes 1.70. Then 3.20 plus 1.70 is 4.90 or 4.9.
Answer 2
Answer:

Answer:

D. 4.9

3.19 -> 3.2

1.69 -> 1.7

3.2 + 1.7 = 4.9

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Factor the trinomial below 12x^2-11x-36

Answers

The factors of the trinomial are (4x-9)(3x+4).

What is a trinomial?

A trinomial is an algebraic expression that has three non-zero terms. If three monomials are separated by addition or subtraction, then it is a trinomial.

For the given situation,

The trinomial is 12x^2-11x-36.

The given trinomial is a quadratic equation.

The quadratic equation can be factored as

⇒ 12x^2-11x-36

⇒ 12x^2-27x+16x-36

⇒ 3x(4x-9)+4(4x-9)

⇒ (4x-9)(3x+4)

Hence we can conclude that the factors of the trinomial are (4x-9)(3x+4).

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Step-by-step explanation:

12x2 - 11x - 36

12x2 - 27x + 16x - 36

3x (4x - 9) + 4(4x - 9)

(4x - 9) and (3x + 4) are the factors

Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

Answers

(√(7))^(6x)=49^(x-6) \n(7^(1)/(2))^(6x)=(7^2)^(x-6) \n7^{(1)/(2) * 6x}=7^(2(x-6)) \n7^(3x)=7^(2x-12) \n3x=2x-12 \n3x-2x=-12 \nx=-12

The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,

⇒ x = 8

We have to given that,

An expression to simplify,

⇒ (√7)ˣ = 49ˣ⁻⁶

Now, We can simplify the expression for x as,

⇒ (√7)ˣ = 49ˣ⁻⁶

Since, 49 = 7² = (√7)⁴

Hence,

⇒ (√7)ˣ = (√7)⁴)ˣ⁻⁶

Apply the multiply rule in exponent,

⇒ (√7)ˣ = (√7)⁴ˣ⁻²⁴

By comparing,

⇒ x = 4x - 24

Solve for x,

⇒ x - 4x = - 24

⇒ - 3x = - 24

⇒ 3x = 24

⇒ x = 24 / 3

⇒ x = 8

Therefore, The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,

⇒ x = 8

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A slide is 21 ft long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the distance, b, from the bottom of the slide to the bottom of the stairs? Round your answer to the nearest tenth.A. 22.8
B. 19
C. 30
D. 15 User: Can the set of lengths be the side lengths of a right triangle? 18 m, 24 m, 30 m
A. yes
B. no

Answers

Answer:

First Answer = 19.0

Second Answer = Yes.

Step-by-step explanation:

Length of Side = 21 ft

Vertical length of ladder = 9 ft.

This formal a Right angled triangle situation.

Distance between bottom of slide and bottom of ladder = b

Using Pythagoras theorem,

b² + 9² = 21²

b² + 81 = 441

b² = 441 - 81

b² = 360

b = √360

b =6√10

b = 18.973666...

b = 19.0 (rounded off to nearest tenth)

Given length of sides of the triangle are 18 m , 24 m and 30 m

30² = 900

18² + 24² = 324 + 576 = 900

Since, 30² = 18² + 24²

Therefore, Given set cab be the length of the sides of the right triangle.
FIRST QUESTION:

The slide is 21 ft long. You can imagine that this slide is actually the hypotenuse of a right angled triangle.

To get to the top of the slide you must climb up a vertical 9 foot ladder. You can imagine that this ladder is the opposite side of the right angled triangle.

Now, the distance between the bottom of the ladder and the bottom of the slide can be thought of as the adjacent side of this right angled triangle.

We know, thanks to Pythagoras that:

A²+O²=H²

A = Adjacent length = b

O = Opposite length

H = Hypotenuse

Therefore:

b²+9²=21²

b²=21²-9²

b²=360

b=√360=18.97 (2dp)

So the answer you are looking for is 19 feet to the nearest tenth (answer: B).

SECOND QUESTION:

18²+24²=30²  (Yes)

Therefore the answer to the second question is YES (answer: A).

The graph shows the ages of different concertgoers who have backstage passes.Which statement is true about the graph?

Answers

In the graph you can see that there are a couple of concertgoers that are way older than the rest.
the statement that is true about the graph would be : the two holders of the passes whose ages are above 40 make the means age higher than the median age

hope this helps

There are 34 balls in a bucket. The balls are numbered from 1 to 34. One ball is randomly selected from the bucket. What is the probability that ball #13 is chosen?

Answers

Answer:

1/34

Step-by-step explanation:

To find the probability that a specific number is chosen

P ( number 13) = 1/ total number of balls

                        = 1 /34

Answer:

1/34

Step-by-step explanation:

There is one 13 ball and there are 34 balls total.

1/34 is the answer. :)

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slope:
2
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Please help fast

50 points

Answers

Answer:

The answer to the question provided is y=1/2x+2
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