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saul85 [17]
3 years ago
14

Given the legs of a right triangle are a = 21, b = 28, what is the length of the hypotenuse?

Mathematics
1 answer:
Alla [95]3 years ago
7 0

That's a 3 4 5 right triangle scaled by a factor of 7, so the hypotenuse must be 5 times 7.

Answer: 35


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Una sucesion aumenta de 0.5 en 0.5 cuales son los primeros 6 terminos si el inicial es uno ???
Tcecarenko [31]
1, 1.5, 2, 2.5, 3, 3.5

Y si no se cuenta el uno:

1.5, 2, 2.5, 3, 3.5, 4.
6 0
3 years ago
What is the surface area of the figure shown? (use 3.14 for pi)
SpyIntel [72]

This is a combination of the formula of several figures.

The first one is the bottom of the cylinder AKA a circle.
The second one is the cylinder - the bottom and the top.
The third one is a cone without a bottom.

The first one can be written like this: r^2*3.14 where r is the radius of the circle
The second one is written like this: 2*3.14*r*h where r is the radius, and h the height
The third one is written like this: l*r*3.14

After this you just have to input the values. 
bottom        cylinder        Cone             (Use calculator if possible)
(3^2*3.14)+(2*3.14*3*5)+(6*3*3.14)=
28.26 + 94.2 + 56.52 = 178.98 in^2

The correct answer is 178.98 in^2.
Youre welcome. 




EXTRA:

If youre wondering how to find the different formulas, you can search for the full formula, then remove the parts you do not need, by matching them with the formula of the part you want to remove.

Example:
Cylinder:
SA = 2(pi<span> r</span><span> 2</span><span>) + (2 </span><span>pi </span><span>r)* h
</span>In this case, i didnt need the top and bottom, then i look for the formula of a circle.
Circle SA = pi r^2

Is this anywhere in the cylinder? Yes! The first part.
Then we are left with:
2 + (2 pi r)*h
But that 2 looks strangely placed, and with some reason, one quickly understands that it means "top AND bottom", but since we removed the circle surface, we have to remove that part too. 
So the final result of the formula is:
2 pi r h


4 0
3 years ago
The perimeter of a rectangle must be less than 170170 feet. If the length is known to be 4444 feet, find the range of possible w
katrin [286]

Answer:

w \in (0,41)

where w is width of rectangle.

Step-by-step explanation:

We are given the following in the question:

The perimeter of a rectangle must be less than 170 feet.

Length of rectangle = 44 feet

Perimeter of rectangle =

2\times (\text{Length + Width})

Let w be the width of rectangle.

According to the question,

P < 170\\2(44 + w)

Thus, the width of triangle should be less than 41. Since w cannot take negative values, we can express value of w in interval notation as,

w \in (0,41)

4 0
3 years ago
SAFE<br> 42s + 32s + s - 42s
Marrrta [24]
75 S is the answer :)
5 0
3 years ago
An entomologist is studying the reproduction of ants. If an ant colony started with 50 ants, and each day, their population incr
worty [1.4K]

Step-by-step explanation: Ants are one of the most abundant insects on our planet and the reasons are their eusocial, complex societal behaviors and their ability to survive in many and various ecosystems. Like most other animal societies, reproduction is one of the core reasons why ants are so prevalent.

Acrobat Ant

Reproduction for ants is a complex phenomenon that involves finding, selecting and successfully fertilizing females to ensure that the eggs laid are able to survive and molt through the successive stages of the ant’s life cycle – larvae, pupae and adults.

8 0
3 years ago
Read 2 more answers
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