You want to swim across the gulf of mexico, a distance of 1500 km. if you swim at a rate 1 kilometer per hour, how many days wil
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Answer: Surface area is equal to 200
Volume is equal to 333.33
Step-by-step explanation:
First, let's do surface area.
The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base
The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.
The lateral height is given as 5 cm.
The area of the base is 10(10) = 100.
We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200.
Now for volume.
The volume of a pyramid is equal to 1/3(area of the base)(height).
We already have the area of the base, which is 100.
The height is given as 10 cm.
Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33.
Hope this helps!
Answer:
combined variation
Step-by-step explanation:
we have
we know that
a)<u> in the interval </u>----> (0,∞)
If the value of x increase the value of y increase
so
Is a direct variation
b) <u>in the interval -</u>---> (-∞,0)
If the value of x increase the value of y decrease
so
Is a inverse variation
therefore
Is a combined variation
Answer:
The distance of the restaurant from the man and woman = 312.5 m
Option C is correct.
A distância do restaurante do homem e da mulher = 312,5 m
A opção C está correta.
Step-by-step explanation:
English Translation
A man is located 300 m from a linear (straight) road. On that road his wife is located 500 m from the man. Both walk towards a restaurant that is on the road and is the same distance from the two. What is this distance in meters?
A) 400m
B) 300m
C) 312.5m
D) 325m
E) 87.5m
Solution
A diagram showing the scenario described, is presented the attached image.
From the attached image, x is the distance of the restaurant from both the man and the woman. So, there are two right angled triangles,
- The bigger one with hypotenuse 500 m and other side 300 m, the third side is calculated as
(Third side)² = 500² - 300² = 160000
Third side = 400 m
- The smaller right angled triangle, with hypotenuse x m and other sides 300 m & (400 - x) m
(400 - x)² + 300² = x²
160000 - 800x - x² + 90000 = x²
800x = 160000 + 90000 = 250000
x = (250000/800) = 312.5 m
Hence, the distance of the restaurant from the man and woman = 312.5 m
In Portugese/Em português
Um diagrama mostrando o cenário descrito é apresentado na imagem em anexo.
Na imagem em anexo, x é a distância do restaurante do homem e da mulher. Então, existem dois triângulos retângulos,
- Quanto maior com hipotenusa 500 me outro lado 300 m, o terceiro lado é calculado como
(Terceiro lado) ² = 500² - 300² = 160000
Terceiro lado = 400 m
- O triângulo angular direito menor, com hipotenusa x me outros lados 300 m & (400 - x) m
(400 - x)² + 300² = x²
160000 - 800x - x² + 90000 = x²
800x = 160000 + 90000 = 250000
x = (250000/800) = 312.5 m
Portanto, a distância do restaurante do homem e da mulher = 312,5 m
Hope this Helps!!!
Espero que isto ajude!!!
