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3 years ago

Without plotting these numbers, decide which inequalities are true. Check all that apply.

Mathematics

1 answer:

cricket20 [7]3 years ago

7 0

Answer: √7 = 2.6

1. 2.6 > 2 V

2. 2.6 > 7 X

3. 2.6 < 8 V

4. √8 = 2.8 2.8 < 2 X

5. 2.8 <8 V

Step-by-step explanation:

V: mean correct

X: mean wrong

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Does dose anyone know how to solve this?

solniwko [45]

Answer:

Width of rectangle = 6 m

Length of rectangle = 11 m

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 3w-7

Area of rectangle = 66 m²

We need to find length and width of rectangle

The formula used is: $Area=Length \times Width$

Putting values and finding w

$Area=Length \times Width\\66=(3w-7)(w)\\66=3w^2-7w\\3w^2-7w-66=0\\$

Solve using quadratic formula: $w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a=3, b=-7, c=-66

Putting values and finding w

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-(-7)\pm\sqrt{(7)^2-4(3)(-66)}}{2(3)}\\w=\frac{7\pm\sqrt{49+792}}{6}\\w=\frac{7\pm\sqrt{841}}{6}\\w=\frac{7\pm29}{6}\\w=\frac{7+29}{6}\:,\:w=\frac{7-29}{6}\\w=6, w=-3.6$

We get values of w as w=6 and w=-3.6

As we know width cannot be negative, so considering w = 6

So, Width = 6

Length = 3w-7 = 3(6)-7 = 18-7 = 11

So, Width of rectangle = 6 m

Length of rectangle = 11 m

6 0

3 years ago

Find the measure of the missing side. Round your answer to the nearest tenth. (PYTHAGOREAN THEOREM)

Burka [1]

Answer:

Rounded to the nearest tenth, the length of the missing side is 5.4 in.

Step-by-step explanation:

According to the Pythagorean theorem, $a^{2}+b^{2}=c^{2}$ , where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):

$2^{2}+5^{2}=c^{2}$

This simplifies to $29=c^{2}$ . Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:

$\sqrt{29} =\sqrt{c^{2}}$

This simplifies to c≈5.4 in.

7 0

3 years ago

Find the discriminant of the equation. x2 + 3x - 4 = 0

ivann1987 [24]

Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0

Here, a = 1, b = 3 and c = -4.

The formula for the discriminant is b^2 - 4(a)(c).

Substituting the given values of a, b and c, we get:

(3)^2 - 4(1)(-4)

Evaluating this, we get 9 + 16 = 25.

The discriminant is 25.

-3 plus or minus √25

Taking this further, x = ------------------------------------

-3 plus or minus 5

or: x = -------------------------------- => {-4, 1} (solutions)

5 0

3 years ago

Read 2 more answers

A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a

RideAnS [48]

Answer:

720 possible ways

Step-by-step explanation:

The gold is awarded to the first position, the silver is awarded to the second position while the bronze is awarded to the third position.

The first position can be taken by any of the 10 runners

Now, the second position can be taken by remaining 9 runners

while the third position can be taken by the renaming 8 runners.

Thus, the number of ways in which these medals can be awarded = 10 * 9 * 8 = 720 ways

3 0

4 years ago

Can you help me find x

kifflom [539]

X = 30

hope that helps

180 - 108 = 72

180 - 72 -43 = 65

triangle on the left
Angles = 43,65,72

triangle on the right

180 - 65 = 115

180 - 115 - 35 = 30
so angles of triangle on the right = 30, 35, 115

x = 30 (vertical angles with the other angle of triangle on the right)

7 0

3 years ago