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3 years ago

I need help it is confusing?????

Mathematics

1 answer:

algol [13]3 years ago

5 0

Answer:

1. 7

2. 15

3. 181

Step-by-step explanation:

Just make sure that you make your denominator a whole number

1. 9.8/1.4....,you multiply by 10...which only removes the comma but it keeps the structure of the question

Always remember that what you do to the denominator...you also do to the numerator

: 9.8/1.4 × 10/10 = 98/14 = 7

2. 40.5/2.7....,you multiply by 10

: 40.5/2.7 × 10/10 = 405/27 = 15

3. 3.62/0.02...., you multiply by 100

: 3.62/0.02 × 100/100 = 362/2 = 181

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Helen [10]

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3 years ago

A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate

Alex777 [14]

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s

First, we need to find the other side of the triangle:

$H^{2} = B^{2} + L^{2}$

$L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}}$

Now, the area (A) of the triangle is:

$A = \frac{BL}{2}$

Hence, the rate of change of the area is given by:

$\frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]$

$\frac{dA}{dt} = 15.75 ft^{2}/s$

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!

5 0

3 years ago

Help mee!! I will give a branlist answer!!

Nutka1998 [239]

Ok so here u go
<span>Simplifying 6(2x + -11) + 15 = 21 Reorder the terms: 6(-11 + 2x) + 15 = 21 (-11 * 6 + 2x * 6) + 15 = 21 (-66 + 12x) + 15 = 21 Reorder the terms: -66 + 15 + 12x = 21 Combine like terms: -66 + 15 = -51 -51 + 12x = 21 Solving -51 + 12x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 12x = 21 + 51 Combine like terms: -51 + 51 = 0 0 + 12x = 21 + 51 12x = 21 + 51 Combine like terms: 21 + 51 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6</span>

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3 years ago

If x ---> y and y --> z , which statement would be true

AveGali [126]

Answer:

Both the statements can be true

Step-by-step explanation:

this means x---> z

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3 years ago

What is the area of the button? Use 3.14 for π and round to the nearest tenth. The circumference of a button is 40.8 millimeters

Vika [28.1K]

Answer: radius = 6.5millimeters; Area = 132.7m²

Step-by-step explanation:

The circumference of a circle = 2πr

The area of a circle = πr²

The circumference of a button is 40.8 millimeters. Then we can get the radius, thus will be:

Circumference = 2πr

40.8 = 2 × 3.14 × r

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r = 40.8/6.28

r = 6.5

Radius is 6.5 millimeters

Area = πr²

Area = 3.14 × 6.5 × 6.5

Area = 132.7m²

4 0

3 years ago