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OleMash [197]
3 years ago
12

Please can someone show me how to work this out step by step without a calculator

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0
2\sqrt8\times8\sqrt2=(2\times8)\sqrt{8\times2}=16\sqrt{16}=16\times4=64

Alternatively, you can write radicals as rational exponents, so that you get

2\sqrt8\times8\sqrt2=2\tiems8^{1/2}\times8\times2^{1/2}=2^{3/2}8^{3/2}

Then recalling that 2^3=8, you have

2^{3/2}8^{3/2}=2^{3/2}(2^3)^{3/2}=2^{3/2}2^{9/2}=2^{12/2}=2^6=64
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25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp
Elanso [62]

Answer:

C. 76.81

Step-by-step explanation:

We must use one of the trigonometric ratios to find the length, L,  of the ramp.  If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is \frac{opposite}{adjacent}:

tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\

\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16}  \\\\L=79.815=79.82 in.

8 0
1 year ago
Hhhhhhhhhheeeeeeeeeeeeeeeeellllllllllllllllllllllppppppppppppp
sammy [17]

Answer:

40°

Step-by-step explanation:

As sum of angles of the triangle is 180°

therefore the third angle will be 180 -( 75 + 65)=40°

x=40°= vertically opposite angle

6 0
3 years ago
Read 2 more answers
PLEASE PLEASE ANSWER THIS FOR ME I REALLY NEED TO UNDERSTAND IT
dexar [7]

Answer:

See answers below for explanations (answers are in bold)

Step-by-step explanation:

<u>Problem 1 (Top left):</u>

Assuming that the shape is an ellipse, we will use the formula A=πab where a and b are both half the major and minor axis respectively. Since a=9 and b=6, then we have A = π(9)(6) = 54π = 169.646 units^2 as our final answer

<u>Problem 2 (Top right):</u>

Again, we use the same equation as in Problem 1 but this time, a=12 and b=8, so we then have A = π(8)(12) = 96π = 301.593 units^2 as our final answer

<u>Problem 3 (Bottom left):</u>

We can make this irregular shape into a half-ellipse and a rectangle. We would find their separate areas and add them up. The area of the half-ellipse would be A=1/2πab. The value of "a" would be 13.8/2=6.9 since that's the length of the rectangle. The value of "b" would be 3.5, so that means the area of the half-ellipse would be A = 1/2(π)(6.9)(3.5) = 12.075π = 37.935 units^2.  The width and length of the rectangle are 5.4 and 13.8 respectively, so this means the area of the rectangle is 5.4*13.8 = 74.52 units^2. Combining both areas, we get 37.935+74.52 = 112.455 units^2 as our final answer

<u>Problem 4 (Bottom right):</u>

This irregular shape is an ellipse, but a circle is missing from its center. Thus, we must find the area of the circle and ellipse and then subtract the circle's area from the ellipse's area. For the area of the ellipse, a=(15.5/2)=7.75, and b=(7/2)=3.5, making its area A = π(7.75)(3.5) = 27.125π = 85.216 units^2. The area of a circle is A=πr² where "r" is the radius. The radius would be 7/2=3.5, making the circle's area A = π(3.5²) = 12.25π = 38.485 units^2. This means that the shaded area is 85.216-38.435 = 46.781 units^2  

6 0
2 years ago
Joan Has 2 Silimar Rectangular-Shaped Pieces That She Is Using For Her Quilt. One Has Width 4 Inches And Length 6 Inches And The
otez555 [7]

Answer:

The answer to your question is: 30 in

Step-by-step explanation:

Data

1 piece

Width = 4 in

Length = 6 in

2 piece

Width = 6 inches

Proportions

                               4 : 6 :: 6 : x

                                x = (6 x 6) / 4

                               x = 9

Perimeter = 2(base) + 2(height)

                 = 2(9) + 2(6)

                 = 18 + 12

                 = 30 in

                     

4 0
3 years ago
IS THIS CORRECT ?? HELP ASAP THANKS!
OLEGan [10]

Pretty sure it is.......

3 0
3 years ago
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