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TiliK225 [7]
3 years ago
10

Jake has made a scale drawing of a sand pit he

Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer: The scale is 5cm/m  (5 cm in the drawing are equivalent to 1 meter on the actual pit)

Step-by-step explanation:

When we have an original measure M, and we redraw it with a new scale, where the new measure is m, the scale used is equal to:

scale = m/M.

In this case, we know that:

The pit is 3m, by 5m

and the drawing to scale is 15cm by 25cm

(15cm is the rescaled version of the 3m side, and 25cm is the rescaled version of the 5m side)

Using the equation above, we can find that the scale is:

Scale = 15cm/3m = 5cm/m

and, if we use the other side, we get:

Scale = 25cm/5m = 5cm/m

Both calculations give the same scale, as expected.

Then the scale is 5cm/m, which means that 5 centimeters in the drawing are equivalent to one meter in the real pit.

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4. 8.G.3.9 <br> This cone and sphere have equal volumes. <br><br> What is the radius of the sphere?
lozanna [386]

Answer:

the radius of the sphere is 12 cm.

Step-by-step explanation:

IN A CONE

vertical height (h) = 27 cm

radius (r) = 32 / 2 = 16 cm

Now the volume of cone is

= 1/3 *h*π*r²

= 1/3 * 27 *π *16²

= 2304π cm³

Also by the question the cone and the sphere have equal volumes so

volume of sphere = volume of cone

                             = 2304 π cm³

OR, 4/3 πr³ = 2304 π

4/3 * r³ = 2304

r³ = 2304 * 3 / 4

r³ = 1728

r = ∛1728

r = 12 cm

hope it helps :)

8 0
3 years ago
What is the answer to this?
OlgaM077 [116]

Answer:

Step-by-step explanation:

Note how this drawing  is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.

Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30.  Due to the symmetry shown, line CD has the same length:  30.

6 0
3 years ago
1. If the value of a number in decimal system is 955, find its value in quinary system and in binary system.​
Angelina_Jolie [31]

Answer:

Quinary - 12310

Binary -  1110111011

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3 years ago
True or false? The illustration below is an example of a regular tessellation.​
ki77a [65]

Answer: Is True

Step-by-step explanation:

these question is true

4 0
3 years ago
Read 2 more answers
A certain freely falling object, released from rest, requires 1.50 s to travel the last 30.0 m before it hit the ground. a.Find
Lyrx [107]
A.)
<span>s= 30m
u = ? ( initial velocity of the object )
a = 9.81 m/s^2 ( accn of free fall )
t = 1.5 s
s = ut + 1/2 at^2 
\[u = \frac{ S - 1/2 a t^2 }{ t }\]
\[u = \frac{ 30 - ( 0.5 \times 9.81 \times 1.5^2) }{ 1.5 } \]
\[u = 12.6 m/s\]
</span>
b.)
<span>s = ut + 1/2 a t^2
u = 0 ,
s = 1/2 a t^2
\[s = \frac{ 1 }{ 2 } \times a \times t ^{2}\]
\[s = \frac{ 1 }{ 2 } \times 9.81 \times \left( \frac{ 12.6 }{ 9.81 } \right)^{2}\]
\[s = 8.0917...\]
\[therfore total distance = 8.0917 + 30 = 38.0917.. = 38.1 m \] </span>
4 0
4 years ago
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