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3 years ago

3. Travis started doing his homework at 6:56 P.M., and finished at 8:34 PM How long did he spend doing homework?

Mathematics

2 answers:

Marianna [84]3 years ago

5 0

Answer:

1 hour 38 minutes

Step-by-step explanation:

Leto [7]3 years ago

4 0

Answer:

he did his homework 1 hour and 38 min

Step-by-step explanation:

I just did 6:56 plus a hour and 7:56 then I added 4 and got 8:00 finally, I added 34 to get 8:34

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If segment FD = 20 units and segment DE = 52 units, what is the value of b? Round the solution to the nearest hundredth.

Readme [11.4K]

Answer:

b = $22.62^{o}$

Step-by-step explanation:

Since the triangle is a right angled triangle, the appropriate trigonometric function can be applied to determine the value of b.

Thus, to determine the value of b;

Sin θ = $\frac{opposite}{hypotenuse}$

Sin b = $\frac{20}{52}$

= $\frac{20}{52}$

= 0.38462

⇒ b = $Sin^{-1}$ 0.38462

= 22.6202

b = $22.62^{o}$

The measure of angle E (= b) is $22.62^{o}$ .

7 0

3 years ago

I need help with this question.

ivann1987 [24]

9514 1404 393

Answer:

a8 = 4

Step-by-step explanation:

Put 8 where n is and do the arithmetic.

a8 = (1/2)(8) = 8/2 = 4

The 8th term of this arithmetic sequence is 4.

4 0

2 years ago

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six

kherson [118]

Answer:

x = 0.53 cm

Maximum volume = 1.75 cm³

Step-by-step explanation:

Refer to the attached diagram:

The volume of the box is given by

$V = Length \times Width \times Height \\\\$

Let x denote the length of the sides of the square as shown in the diagram.

The width of the shaded region is given by

$Width = 3 - 2x \\\\$

The length of the shaded region is given by

$Length = \frac{1}{2} (5 - 3x) \\\\$

So, the volume of the box becomes,

$V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\$

In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.

$\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\$

We are left with a quadratic equation.

We may solve the quadratic equation using quadratic formula.

The quadratic formula is given by

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where

$a = 18 \\\\b = -38 \\\\c = 15 \\\\$

$x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\$

Volume of the box at x= 1.59:

$V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\$

Volume of the box at x= 0.53:

$V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3$

The volume of the box is maximized when x = 0.53 cm

Therefore,

x = 0.53 cm

Maximum volume = 1.75 cm³

7 0

3 years ago

The number 360 is increased by 75%. The result is then decreased by 50%. What is the final number

frozen [14]

Answer:

i believe that it is 45

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Answer plz it’s impirtanttttt

Vinvika [58]

Part a) In 35 minutes, 25 number of pages have been read.

Part b) There is positive association between time and the number of pages being read

Step-by-step explanation:

Part a) What is the meaning of the point (35,25)

35 is the value of x-axis and 25 is the value of y-axis

x-axis represent Time(minute) while y-axis represent Number of pages read

So, in 35 minutes, 25 number of pages have been read.

Part b) Is the association between time and number of pages positive or negative? state the association in terms of variables.

Association is positive if increasing one variable, other variable is also increasing.

Association is negative if increasing one variable, other variable is decreasing.

In the given graph, the association is positive. Increasing the time, the number of pages being read are also increasing.

if time is 20 minutes, number of pages read are 12.5. if time is 25 minutes then number of pages read are 17

So, there is positive association between time and the number of pages being read.

Keywords: Association between variables

Learn more about Association between variables at:

#learnwithBrainly

3 0

3 years ago