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Mila [183]
4 years ago
6

Write 1 + 2 + 3 + ... + 10 using sigma notation

Mathematics
1 answer:
snow_lady [41]4 years ago
4 0

Answer:

1+2+3+4+5+6+7+8+9+10=55

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Can someone help me with this question ? Show steps please
jek_recluse [69]

Answer:

B) \boxed{A_T=108\;in^2}

Step-by-step explanation:

That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}

Finally, we sum both of the areas found to calculate the total area.

A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}

So, the answer is option B).

4 0
3 years ago
trigonometry is a field of mathematics that studies the relationships that exist between the sides of a triangle and its angles.
never [62]
Some periodic motions, also known as armonic motions, with which much of us are familiar with are:

- The motion of the swinger when a kid is balancing forward and backward

- The motion of a pendulum

- The motion of the needles of a watch.

- The motion of a satelite around a planet.

- The spinning of the wheel of a stationary bycicle.

- A rocking chair

All the motions in which the object passes once and other times through the same point are periodic motions.

Both scientists and businesses are interested in tracking periodic motions using equations because they appear in many situations in nature and in daily life. The cycles are examples of periodic motion. By tracking this type of motion you can make models that permit you to explain the phenomena and predict cycles. This is predict facts that repeast with a certain period.


3 0
4 years ago
The sum of 237 and six times the opposite of a number is 405. What is the number?
IgorC [24]
The number is 28.

The equation would be:

237 + 6(x) = 405

The problem states that 6 times the opposite of a number, however, since the number sign was not given, we do not know whether it is in a positive or negative form. So we leave it as only x.

237 +  6x = 405
6x = 405 - 237
6x = 168
6x / 6 = 168 / 6
x = 28

To check:

237 + 6 (28) = 405
237 + 168 = 405
405 = 405
8 0
3 years ago
Read 2 more answers
On a cross country vacation, maria filled her 14 gallon gas tank eleven times.wich is the best estimate of how many gallons of g
poizon [28]
The actual answer is 154 but the closest estimate would be 150.
Just multiply the number of gallons filled her gas tank (14) and how many time she filled it (11). 
3 0
3 years ago
Read 2 more answers
Myers has 3/5 of cake. She divides the cake among 7 children. How much of the cake will each child get
vovikov84 [41]

Answer:

Step-by-step explanation:

3/5/7=3/35

3 0
3 years ago
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