Answer:
382 cm²
Step-by-step explanation:
Front face + Back face:
A = 2(a + b)h/2
A = 2(14 cm + 8 cm)(7 cm)/2
A = 154 cm²
Left face:
A = 7 cm × 6 cm = 42 cm²
Right face:
A = 9 cm × 6 cm = 54 cm²
Bottom face:
A = 14 cm × 6 cm = 84 cm²
Top face:
A = 6 cm × 8 cm = 48 cm²
Total surface area =
= (154 + 42 + 54 + 84 + 40) cm²
= 382 cm²
Answer:
The circumference of Earth's equator is 40,080 km.
Step-by-step explanation:
Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:
24 x 1,670 = X
40,080 = X
Therefore, the circumference of Earth's equator is 40,080 km.
Answer:
She is incorrect
Step-by-step explanation:
Pythagorean theorem:
16^2+8^2
256+64=320
320 is 17.89
8^2+8^2
64+64=128
√128 is 11.31
Ada is incorrect. The length of diagonal SQ is bigger than the length of diagonal OM. But it is not two times bigger.
Answer:
N0 solution.
Step-by-step explanation:
x=-2y+1....(1)
x+2y=9....(2)
put equation (2) to equation (1)
-2y+1 + 2y=9
combine
-2y + 2y=9-1
0=8
No solution.
5 + 0.33333...
<span>If you don't immediately recognize 0.33333.... as 1/3 (a very common fraction you should memorize), you can do the following. </span>
<span>x = 0.33333... </span>
<span>Multiply that by 10 to shift everything 1 place to the left: </span>
<span>10x = 3.33333... </span>
<span>Now subtract: </span>
<span>10x - x = 3.33333... - 0.33333... </span>
<span>9x = 3 </span>
<span>x = 3/9 </span>
<span>x = 1/3 </span>
<span>Answer: </span>
<span>5 1/3 </span>
<span>P.S. Here's a shortcut way to turn a repeating decimal into a fraction. </span>
<span>1) Take the repeated part and put it over an equivalent number of nines. </span>
<span>Example: </span>
<span>0.57575757... = 57/99 </span>
<span>At that point, see if you can reduce the fraction: </span>
<span>= 19/33 </span>
<span>Another example: </span>
<span>0.123123123... = 123/999 </span>
<span>= 41/333 </span>
<span>So in your example: </span>
<span>5.33333... = 5 + 0.33333... </span>
<span>= 5 + 3/9 </span>
<span>= 5 1/3</span>
