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vovangra [49]
3 years ago
15

No links need answer

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Answer:

Slope = 1

Hope it helps you!

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Step-by-step explanation:

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Help asap! 50 Points! 10 Questions!
tensa zangetsu [6.8K]
Part 1) <span>If a cylinder has a surface area of 36 square inches and its radius is 1.6 inches, how tall is the cylinder in inches? π = 3.14. Round to the nearest tenth.

we know that
surface area of the cylinder=2*area of the base+perimeter of the base*height

area of the base==pi*r</span>²*h-----> 3.14*1.6²*h----> 8.0384*h in²

perimeter of the base=2*pi*r---> 2*3.14*1.6----> 10.048 in

surface area=36 in²
so
36=2*[8.0384*h]+10.048*h----> 36=26.1248*h
h=36/26.1248----> h=1.38 in------> h=1.4 in

the answer Part 1) is
h=1.4 in

Part 2) <span>2. A regular hexagonal pyramid has a base area of 29 in^2 and a lateral area of 210 in^2. What is the surface area of the hexagonal pyramid?

surface area of the hexagonal pyramid=2*area of base+lateral area
</span>surface area of the hexagonal pyramid=2*29+210----> 268 in²

the answer part 2) is 
surface area=268 in²

Part 3)<span> What is the surface area of the following cylinder in square inches? Use π = 3.14 and round your answer to the nearest tenth.
Radius = 3.2 Height = 4.1
</span>we know that
surface area of the cylinder=2*area of the base+perimeter of the base*height

area of the base==pi*r²*h-----> 3.14*3.2²*4.1----> 131.83 in²

perimeter of the base=2*pi*r---> 2*3.14*3.2----> 20.096in

surface area=2*131.83+20.096*4.1------> 346.05 in²-----> 346.1 in²

the answer Part 3) 
surface area=346.1 in²

part 4)<span>A cube has surface area of 150 in^2. How long is each side of the cube?

we know that
surface area of cube=6*b</span>²
where b is the length side of the cube
SA=6*b²------> b=√SA/6------> b=√150/6-----> √25----> b=5 in

the answer Part 4) is
b=5 in

Part 5)  <span>A cube has sides that are 3 in. long. What is the surface area of the cube?
</span>we know that
surface area of cube=6*b²
where b is the length side of the cube
b=3 in
so
SA=6*3²----> 54 in²

the answer Part 5) is
SA=54 in²

Part 6) <span>What is the surface area of this box?
Height = 3.5 Length = 6 width = 3

surface area of the box=2*area of the base+perimeter of base*height 

area of the base=6*3----> 18 ft</span>²

perimeter of the base=2*[6+3]----> 18 ft
height=3.5 ft

surface area of the box=2*18+18*3.5----> 99 ft²

the answer Part 6) is
SA=99 ft²

Part 7) <span>If a cylinder has a surface area of 59 square inches and its radius is 2.1 inches, how tall is the cylinder in inches? Use π = 3.14. Round to the nearest tenth
</span>

we know that
surface area of the cylinder=2*area of the base+perimeter of the base*height

area of the base==pi*r²*h-----> 3.14*2.1²*h----> 13.8474*h in²

perimeter of the base=2*pi*r---> 2*3.14*2.1----> 13.188 in

surface area=59 in²
so
59=2*[13.8474*h]+13.188*h----> 59=40.8828*h
h=59/40.8828----> h=1.44 in------> h=1.4 in

the answer Part 7) is
h=1.4 in

Part 8) <span>What is the surface area of the cone below, rounded to the nearest tenth? Use π = 3.14.
Height = 12 Radius = 5
surface area of the cone=pi*r</span>²+pi*r*l
r=5 in
h=12 in
l=slant height
l²=r²+h²----> l²=5²+12²----> l²=169-----> l=13 in

surface area of the cone=3.14*5²+3.14*5*13-----> 282.6 in²

the answer Part 8) is
SA=282.6 in²

Part 9) <span>A square pyramid has a surface area of 202 ft^2 and a base area of 53 ft^2. What is the lateral area of the pyramid?

we know that
surface area=area of the base+lateral area
lateral area=surface area-area of the base
lateral area=202-53----> 149 ft</span>²

the answer Part 9) is
LA=149 ft²

Part 10)<span>What is the surface area of the cone below, rounded to the nearest tenth? Use π = 3.14
Radius = 2 Height = 4
</span>
surface area of the cone=pi*r²+pi*r*l
r=2 cm
h=4 cm
l=slant height
l²=r²+h²----> l²=2²+4²----> l²=20-----> l=4.47 cm

surface area of the cone=3.14*2²+3.14*2*4.47-----> 40.63 cm²

the answer Part 10) is
SA=40.6 cm²
3 0
3 years ago
Experimental Probability of Simple Events
r-ruslan [8.4K]
<span>A simple event is an event where all possible outcomes are equally likely to occur. ...A set of all possible outcomes of an event is called sample space, usually represented as 'S' with curly braces { }. ...<span>This is called Experimental Probability – probability derived from a series of trials, or experiments.</span></span>
5 0
3 years ago
NO LINKS!!!<br><br>Make a flowchart to show the two triangles are similar. ​
timama [110]

Answer: The flowchart is shown below.

Explanation:

Each box is a different statement. The reason for the statement is provided below the box. The arrows on the flowchart direct the flow of how the proof is laid out. Typically the flow is left to right, top to bottom, or a mix of both. This is to match the reading order of many western countries. Though I would imagine the flow is reversed for countries that read from right to left.

The structure of any type of proof is to start with what you are given. Then use the previously established, or previously proven, theorems to make your way to what you want to prove.

In this case, we start off with MN and KL being parallel line segments. This is shown by the arrows on MN and KL. Because the segments are parallel, we then can determine these two facts:

  • angle MNJ = angle KLJ
  • angle NMJ = angle LKJ

Both of those will have the reasoning of "corresponding angles theorem"

We have two pairs of angles which are congruent. This then directly leads to the triangles being similar. Refer to the AA (angle angle) similarity theorem for more information.

Feel free to use symbols in place of some words. For example, instead of saying something like "Triangle NMJ is similar to Triangle LKJ", you could write \triangle \text{NMJ} \sim \triangle \text{LKJ}

If you're curious what app I used to make the flowchart, the app is called "LucidChart". They have 3 options: 1 free and the other 2 are paid versions. I went with the free version and it worked just fine. But it's up to you which you prefer most.

5 0
2 years ago
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