MATHEMATICS HIGH SCHOOL

Which point on the number line best represents the square root of 6

Answers

Answer 1

Answer:

Answer:

I don't see the file.

Step-by-step explanation:

Answer 2

Answer:

Answer:

point 2.44 represents the location of √6 or 2.44 is between 2 and 3

Step-by-step explanation:

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The area of the triangle is 56 m2. Find the length of the base.Question 1 options:

56=1/2(x)(x+6)

56=1/2(x2+6)

56=x(x+6)

56=x2+6
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Question 2 (1 point) Question 2 Unsaved
The height of a triangle is 5 m less than its base. The area of the
triangle is 42 m2. Find the length of the base.
Question 2 options:

12 m

11 m

8 m

7 m

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Question 3 (1 point) Question 3 Unsaved
Which equation would best help solve the following problem?

Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m2 by increasing the width and length by the same amount. What will be the dimensions of the new garden?
Question 3 options:

208=(10)(13)

208=(10+x)(13+x)

208=(10+13)(x)

208=(10+x2)(13)
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Question 4 (1 point) Question 4 Unsaved
Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden?
Question 4 options:

14 m wide

13 m wide

12 m wide

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Question 5 (1 point) Question 5 Unsaved
Holly has a rectangular garden that measures 12 m wide by 14 m long. She wants to increase the area to 255 m2 by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?
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Answers

Answer for Question #1.
The equation use to find the length of the base of a triangle is $56= (1)/(2)(x)(x+6)$ .

Answer for Question #2.
The length of the base of a triangle is 12 m.

Answer for Question #3.
The equation use to find the dimensions of the new garden is
208 = (10 + x)(13 + x).

Answer for Question #4.
The width of the new garden is 12 m.

Answer for Question #5.
The length of the new garden is 17 m.

Answer:

Step-by-step explanation:

What is the answer to -16-90

Answers

-16-90 = -16 + (-90) = -106

-106 is the right answer

How to find the probability in a 2-card hand out of a deck of 52 cards that the cards will have different suits.

Answers

so there are 4 suits in a deck of cards, each suit containing 13 cards.
there is a 3/4 chance that 2 cards will have different suits, as there are more different possibilities than there are same.

What s the answer? 16x-12x=2

Answers

$x=1/2$ $x=1/2$ $4x=2$

16x-12x=2......... 4x=2 /:4....... x=2/4=1/2=0.5

The amount of blood in a person's body varies directly with body weight. A person who weighs 160 lb has about 4.6 qt of blood. About how many quarts of blood are in the body of a 175-lb person?-How can you find the constant of variation?
-Can you write an equation that relates quarts of blood to weight?
-How can you use the equation to determine solution?

Answers

Step-by-step explanation:

Given that amount of blood is directly linked to body weight of the person.

$b\propto W$

$b=kW$

$(b)/(W)=k$

b = Amount of blood

W = weight of the person

k = proportionality constant or constant of variation

1) Given that, person who weighs 160 lb has about 4.6 quart of blood.

b = 4.6 quart, W = 160 lb

$k=(b)/(W)=(4.6 quart)/(160 lb)=0.02875 quart/lb$

The constant of variation is of value 0.02875 quart/lb.

2) An equation that relates quarts of blood to weight:

$b=0.02875 quart/lb* W$

3) If, b = ?,W = 175 lb

$b=0.02875 quart/lb* W$

$b=0.02875 quart/lb* 175 lb=5.03125 quart$

5.03125 quarts of blood are in the body of a 175-lb person.

The statements expresses as
w ∝ b
where w = body's weight, b = amount of blood

Changing it into a direct variation becomes
w = kb or k = w/b
where k = proportionality constant

We know that k is obviously constant, we equation it into two states as
w₁/b₁ = w₂/b₂

Given that w₁ = 160 lb, b₁ = 4.6 qt, b₂ = 175, w₂ = 175 lb. Then b₂ will be
160/4.6 = 175/b₂
b₂ = 160/(4.6*175) = 160/805 = 0.20 quarts

Your questions are integrated in just step-by-step solution.

PLEASE HELP!!!!Solve the compound inequality for x and identify the graph of its solution.
4xs-16 or 3x + 5 2 17

Answers

The solution of the compound inequality 4x ≤ -16 or 3x + 5 ≥ 17 is x ≤ -4 or x ≥ 4 and graphed in option (B).

What is inequality?

Essentially, comparing any two values shows whether one is smaller, greater, or equal to the value on the other side of the equation. Essentially, comparing any two values shows whether one is smaller, greater, or equal to the value on the other side of the equation.

Given the first inequality,

4x ≤ -16

Dividing 4 both sides

x ≤ -4

Second inequality,

3x + 5 ≥ 17

Subtract 5 on both sides

3x ≥ 12

Divide 3 both side

x ≥ 4

So,

x ≤ -4 or x ≥ 4