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2 years ago

Two similar solids are shown A and B

Mathematics

1 answer:

vodomira [7]2 years ago

5 0

Answer:

Step-by-step explanation:

this is a ratio and proportion of two similar solids

vol A = 60 cm³ and A = 3cm

vol B = ? and B = 6 cm

B 6

do cross multiply:

3B = 60(6)

B = 120 cm³

therefore, the vo. of B is 120 cm³

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A map has a scale of 1:200000 How far is it from Belfast to Larne in Km if the distance on the map is 7.8cm

vivado [14]

Answer:

15.6km

Step-by-step explanation:

Given the map scale 1:200000

1cm on the map represents 200000 cm on ground or in actual distance

Hence, if distance from Belfast to Larne is 7.8vm on map ;

Actual distance will be :

7.8 * 200000 = 1560000 cm

Converting to km :

Recall :

1000 m = 1km

100 cm = 1 m

Hence,

100000 cm = 1km

Therefore, (1560000 / 100000) km

= 15.6km

Hence, distance between Belfast and Larne is 15.6km

6 0

2 years ago

a water balloon is tossed into the air with an upward velocity of 25 ft/s its height h(t) in ft after t seconds is given by the

Montano1993 [528]

When the height is 0 that is when it hits the ground
solve
0=-16t²+25x+3
cant factor so use quadratic formula

for
0=ax²+bx+c
$x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$

so for
0=-16t²+25t+3
a=-16
b=25
c=3
so

$x=\frac{-25+/-\sqrt{25^2-4(-16)(3)}}{2(-16)}$
$x=\frac{-25+/-\frac{625+192}}{-32}$
$x=\frac{-25+/-\frac{817}}{-32}$
it has to be a positive time

so it will hit the ground after $\frac{25+\sqrt{817}}{32}$ seconds

4 0

2 years ago

6sqrt20 + 8sqrt5 - 5sqrt45

marta [7]

Answer:

11.1803398875

Step-by-step explanation:

4 0

3 years ago

The rational number 5 3/7 is equal to <br><br><br> is equal to

Andrei [34K]

Answer:

38/7 is = to 5 3/7

Step-by-step explanation:

7 0

3 years ago

The area of the rectangle shown is 200 square units. Find the value of x?

Stels [109]

Answer:

x=40

Step-by-step explanation:

8(1/2x + 5) = 200

4x + 40 = 200

4x = 160

x = 40

6 0

3 years ago

Read 2 more answers