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Andrews [41]
3 years ago
13

How are units of length and capacity similar in the metric system

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0
In the metric system, each of the common kinds of measure -- length, weight, capacity -- has one basic unit of measure. To measure smaller amounts, divide the basic unit into parts of ten, a hundred, or a thousand, and so on. To measure larger amounts, multiply the basic unit by ten, a hundred, or a thousand, and so on.
Length:
1 kilometer (km) = 1000 meters (m)
1 centimeter (cm) = .01 meter (m)
1 millimeter (mm) = .001 meter (m)
Weight:
1 kilogram (kg) = 1000 grams (g)
1 milligram (mg) = .001 gram (g)
Capacity:
1 milliliter = .001 liter (l)
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A bag contains 10 pounds of dog food. A family feeds their dogs 0.85 pound of dog food a day. How much dog food is left in the b
tensa zangetsu [6.8K]
A bag contains 10 pounds of dog food.

A family feeds their dogs 0.85 pound of dog food a day so cin seven day the dog eats (0.85 x 7) = 5.95 pounds

so, <span>dog food is left in the bag after 7 days is </span>(10-5.95) = 4.05 pounds


8 0
3 years ago
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The Martins bought a house this year for $300,000. If the value of the house rises 4% each year, what will be the approximate va
tigry1 [53]
I believe it’s 30,180,000

First do 4% -> 0.04x15=0.6
0.6+100=100.6x300,000

But then again I’m not too sure so double check
6 0
2 years ago
Read 2 more answers
Write an equation of a circle that has the center at the origin and goes through (-3,-6)
dexar [7]

Answer:

x^{2} +y^{2} = 45

Step-by-step explanation:

General Equation of circle is

(x-x_1)^{2} +(y-y_1)^{2} = r^{2}----------- (1)

Here

(x_1, y_1)= (0, 0)

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)

r=\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }

r= \sqrt{(-3-0)^{2} + (-6-0)^{2} }

r= \sqrt{9+36}

r=\sqrt{45}

Substituting values in equation (1)

(x-0)^{2} +(y-0)^{2} =( \sqrt{45})^{2}

x^{2} +y^{2} = 45

6 0
2 years ago
In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.
Pani-rosa [81]

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know \frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}. If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

\frac{sin(X)}{x}  = \frac{sin(W)}{w}

Plug in:

\frac{sin(68)}{x} = \frac{sin(93)}{520}

The answer when solving for x is the above

7 0
3 years ago
Prove the identity.
Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

r²(cos²theta+sin²theta) = r²

(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM

5 0
3 years ago
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