A rectangle has an area of 70 m2 and dimensions, in meters, of x and x + 2. Estimate each dimension of the rectangle to the nearest meter.

Answer:

[tex]d=10[/tex]

Step-by-step explanation:

Pythagorean theorem:

[tex]d^2+d^2=10\sqrt{2}^2,\\2d^2=200,\\d^2=100,\\d=\boxed{10}[/tex]

Alternative:

[tex]\cos 45^{\circ}=\frac{d}{10\sqrt{2}},\\\frac{\sqrt{2}}{2}=\frac{d}{10\sqrt{2}},\\2d=10\sqrt{2}\cdot \sqrt{2},\\2d=20,\\d=\boxed{10}[/tex]

Alternative (derived from the Pythagorean theorem):

All 45-45-90 triangles have side lengths [tex]x-x-x\sqrt{2}[/tex], where [tex]x\sqrt{2}[/tex] is the hypotenuse. Since this triangle's hypotenuse is [tex]10\sqrt{2}[/tex], its sides are [tex]10-10-10\sqrt{2}[/tex].

Answer: What are the answers to your question?

Step-by-step explanation:

X, and Y they are both axis's so most likely you might be using a grid but the arn't showing so make a grid and find the coordinats

Answer:

i solved for t and got

t= -3, -12

Step-by-step explanation:

Answer:

t = - 12, t = - 3

Step-by-step explanation:

Given

t² + 15t = - 36 ( add 36 to both sides )

t² + 15t + 36 = 0 ← in standard form

(t + 12)(t + 3) = 0 ← in factored form

Equate each factor to zero and solve for t

t + 12 = 0 ⇒ t = - 12

t + 3 = 0 ⇒ t = - 3

Answer:

8. 24

9. 10

2. 72

1. 113

5. 7.96 = 8

11. 30.19 = 30.2

6. 28.27 = 28

That's all I can answer right now, maybe study a bit more and your grades will get better! Good luck!

Answer:

See Explanation

Step-by-step explanation:

Required

The meter reading in ccf

The question is incomplete, as the  meter readings is not given. So, I will solve using an assumed value for the meter readings.

Let

[tex]x\ m^3 \to meter\ readings[/tex]

The readings in ccf is:

[tex]Reading = \frac{x}{2.832}[/tex]

Now, assume the value of x is 25; The readings will be:

[tex]Reading = \frac{25}{2.832}ccf[/tex]

[tex]Reading = 8.83\ ccf[/tex]

Answer:

{6, 11, 15}

Step-by-step explanation:

Given the inequality expression 3x-7≥11

Add 7 to both sides

3x-7+7≥11+7

3x ≥ 18

Divide both sides by 3

3x/3 ≥ 18/3

x≥6

Hence the solution to the inequality are the values of x greater than or equal to 6. Hence the required solutions are {6, 11, 15}

Answer:

What

Step-by-step explanation:

Answer:

13 pounds

Step-by-step explanation:

if its wrong then-

Which of the following pairs of numbers has a least common multiple of 48 ?

A. 3 and 12

C. 4 and 9

D. 6 and 8

-KeonLee

I hope it help

#Carry on learning

Answer: They look right to me

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

There are only two possible outcomes in the table that satisfy x ≤ -3; either x = -5 or x = -3. Then

P(x ≤ -3) = P(x = -5) + P(x = -3) = 0.17 + 0.13 = 0.3

Answer:

Hello! answer: 27/125

Step-by-step explanation:

3/5 to the power of 3 is 27/125 because

3/5 × 3/5 × 3/5 = 27/125

Answer:

I saw the first question but it would not let me answer so...yea heh

Answer:

1/4 ( x + 12 ) = 2 : x = -4

Step-by-step explanation:

4 x 1/4 (x + 12 ) = 2 x 4

x + 12 = 8

x + 12 - 12= 8 - 12

x = -4

Answer:

$4.5

Step-by-step explanation:

Let the amount of money

Maria had = x

Nick had = y

All together Maria and Nick had $12.

= x + y = 12

x = 12 - y

After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.

30% of x = 50% of y

30/100 × x = 50/100 × y

0.3x = 0.5y

We substitute 12 - y for x above

0.3(12 - y) = 0.5y

3.6 - 0.3y = 0.5y

3.6 = 0.5y + 0.3y

3.6 = 0.8y

y = 3.6/0.8

y = $4.5

Therefore, in the beginning, Nick originally had $4.5

Answer:

the recital lasted 4 hours and 17 minutes

Answer:

4 hours 17 minutes

Step-by-step explanation:

5.34-1.17

Answer:

immma send you the link friend me on hereStep-by-step explanation:

Answer:

$4.90

Step-by-step explanation:

5 pounds and 98 cents per pound

98x5=490

490 cents for 5 pounds.

490 cents is equal to $4.90.

If this helps please mark as brainliest

Answer:

ASA

Step-by-step explanation:

The ASA (angle side angle) identity states that if 2 triangles share 2 angles and one side in between the angles with each other, they are congruent. Since that is the case here, it is the answer.

Answer:

ASA

Step-by-step explanation:

When you have 2 angles and a side, look and see if the side is between the 2 angles.  What that means is that both angles share the one side.

If that happens, then the solution to congruence is ASA.  I'd be very careful about using SSA. There are exceptions and you should not choose it if you have a choice. Sometimes it works and sometimes it does not.

Answer:

2x

Step-by-step explanation:

i think this is correct, I'm not 100% sure that it is because the question was a little confusing.

ANSWER:

It would be 6x^3.

PRIOR NOTE:

For this question, it's slightly unclear regarding the formatting with it, but in here I'm going to assume that you've asked what is:

-2x * 3x * -x

when simplified. If it was something else, then the final answer would be different.

BACKGROUND:

To start, when multiplying two terms together, the variable will become squared or to the second power. For example:

2x * 2x = 4x^2

PROCESS:

With this question, it is asking for -2x * 3x * -x, though lets just start with the -2x * 3x part:

-2x * 3x = -6x^2

Now, finishing it off with the * -x part.

-6x^2 * -x = 6x^3

It goes to the third power, because now you have multiplied 3 x's together. The answer is also now positive since a negative * a negative = a positive.

With this, the final answer is 6x^3.

Answer:

Approximately 8.1 km

Step-by-step explanation:

Pythagoream Theorem:

[tex] {7}^{2} + {4}^{2} = {x}^{2} \\ 49 + 16 = {x}^{2} \\ 65 = {x}^{2} \\ \sqrt{65} = x \\ 8.1 = x[/tex]

Hope this helps!!

Answer:

Corresponding Angles

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The 2 angles are corresponding and are congruent.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the sector, its area and the angle at the center are not given.

I will solve this using the following illusration

The area of a sector is:

[tex]Area= \frac{\theta}{360} * \pi r^2[/tex]

Assume that:

[tex]\theta = 120[/tex]

[tex]Area = 20[/tex]

The equation becomes

[tex]20= \frac{120}{360} * \pi r^2[/tex]

Simplify

[tex]20= \frac{1}{3} * \pi r^2[/tex]

Take: [tex]\pi = 3.14[/tex]

[tex]20= \frac{1}{3} *3.14* r^2[/tex]

Cross Multiply

[tex]3.14 * r^2 = 20 * 3\\[/tex]

Solve for [tex]r^2[/tex]

[tex]r^2 = \frac{20 * 3}{3.14}[/tex]

[tex]r^2 = 19.11[/tex]

Take square roots

[tex]r = \sqrt{19.11[/tex]

[tex]r = 4.4[/tex]

The radius of the sector of a circle whose area is 20 square units and angle subtends at the center of 120° is 4.4 units.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The angle subtends at the center is 120 degrees.

The area of the circle is 20 units.

We know that the area of a circle is given  as

[tex]\rm Area = \dfrac{\theta }{360} \pi r^2[/tex]

Then we have the radius of the sector will be

[tex]\rm r = \sqrt{\dfrac{360*20}{120*\pi}}\\\\\\r = 4.37 \approx 4.4[/tex]

The radius of the sector is 4.4 units.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer: d < 1

I used A app and it said that

Answer:

Angle A = 46

Step by Step Explanation:

Sin(A) = [tex]\frac{18}{25}[/tex]

A = Sin⁻¹ ([tex]\frac{18}{25}[/tex] )

A = 46.05 or 46

Hope this helps!

Answer:

4x8-12

Step-by-step explanation:

If she had 4 trays and EACH had 8 muffins you would multiply. So 32 muffins in total, but when you take away which is subtraction, it would be the value of m which is 32-12 and you would get 20 muffins left.