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xz_007 [3.2K]
2 years ago
7

If the volume of two similar spheres are 128m^3 and 1458m^3.

Mathematics
1 answer:
Musya8 [376]2 years ago
7 0

Answer:

ZOOM PLZ COME WE R BORED

MEETING ID 798 4170 2552

PASSWORD:XCNeV3

Step-by-step explanation:

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The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

4 0
3 years ago
Rewrite the rational exponent as a radical by extending the properties of integer exponents.
Aloiza [94]

\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad  a^n\implies \cfrac{1}{a^{-n}} \\\\\\ \textit{also recall that }a^{\frac{ n}{ m}} \implies  \sqrt[ m]{a^ n}  \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}} \\\\ -------------------------------


\bf \cfrac{11^{\frac{2}{5}}}{11^{\frac{1}{4}}}\implies 11^{\frac{2}{5}}\cdot 11^{-\frac{1}{4}}\implies 11^{\frac{2}{5}-\frac{1}{4}}\implies 11^{\frac{8-5}{20}}\implies 11^{\frac{3}{20}} \\\\\\ \sqrt[20]{11^3}\implies \sqrt[20]{1331}

5 0
3 years ago
Read 2 more answers
A rectangle has a diagonal of 277 centimeters and a length of 252cm. How long is the width?
Crank

Answer:

width = 115 cm

Step-by-step explanation:

width² = 277² - 252²

width² = 76729 - 63504 = 13225

width = 115 cm

7 0
3 years ago
Read 2 more answers
Translate the phrase into an algebraic expression.<br><br> 3 more than y
Furkat [3]
<span>3 more than y
=

y + 3

hope it helps</span>
5 0
3 years ago
Help me please!!! it’s a short problem
Westkost [7]

Ok so the best way to solve this problem is to simplify it as small as possible so first with the given equation 6(x+7)+3x you need to use the distributive property on 6(x+7)

This should get you 6x + 42

Then you have to add everything with like terms (or everything with the variable x) So add together 6x + 3x and that should get you 9x

So now you are left with

9x + 42 which is C

Hope this helps :D

5 0
3 years ago
Read 2 more answers
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