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Debora [2.8K]
2 years ago
15

A car company sells a scale model to of the size of one of its cars.

Mathematics
1 answer:
mixer [17]2 years ago
7 0

Answer:

w = 13500 --- real windscreen

v = 408 --- scale volume

Step-by-step explanation:

Given

k = \frac{1}{10} --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

w = \frac{w_{scale}}{k^2}

This gives:

w = \frac{135}{(1/10)^2}

w = \frac{135}{1/100}

w = 13500

Next, the volume (v) of the scale mode

We make use of the following computation

v = v_{real} * k^3

So, we have:

v = 408000 * (1/10)^3

v = 408000 * 1/1000

v = 408

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Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si
dolphi86 [110]

In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.

A figure has been drawn to define the vertices and intersections.

The given lengths are also noted.


From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.


Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.


From triangle A F G, we use Pythagoras theorem to find

h1=A F=sqrt(20*20-12*12)=sqrt(256)=16


From triangle DFG, we use Pythagoras theorem to find

h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5


So the length of the other diagonal equals 16+5=21 cm


5 0
2 years ago
Find the values if x and y
SOVA2 [1]

Note that: (10x - 61) & (x + 10) are supplementary angles, and (10x-61) & (18y + 5) are vertical angles

10x - 61 + x + 10 = 180

Simplify

11x - 51 = 180

Isolate the x

11x - 51 (+51) = 180 (+51)

11x = 231

Divide 11 from both sides

11x/11 = 231/11

Divide

x = 21

180 = 18y + 5 + x + 10

180 = 18y + 5 + (21) + 10

Simplify

180 = 18y + 36

Subtract 36 from both sides

180 (-36) = 18y + 36 (-36)

144 = 18y

Divide 18 from both sides

144/18 = 18y/18

y = 144/18

y = 8

x = 21, y = 8 are your answers

hope this helps


5 0
2 years ago
There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. The ratio of the num
ss7ja [257]

Answer:

Step-by-step explanation:

There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. This means that the number of freshmen is 3/10 × total number of students.

Number of freshmen = 3/10×950 =285 freshmen

The ratio of the number of sophomore to all students is 1:2. This means that the number of sophomore is 1/2 × total number of students.

Number of sophomore = 1/2×950 =475 sophomore

The ratio of the number of freshmen to sophomore is the number of freshmen/ the number of

sophomore.

It becomes 285/475 = 57/95

6 0
2 years ago
Ms. Lopez draws two cylinders on the whiteboard. The first cylinder has a diameter of 6 inches and a height of 14 inches. The se
chubhunter [2.5K]

Answer:

7 inches

Step-by-step explanation:

Height : Diameter

14 : 6

H : 3

H/14 = 3/6

H = 14 × 3/6

H = 7

7 0
2 years ago
Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does
Radda [10]

Answer:

12

Step-by-step explanation:

because if she has 8 more red cubes that yellow than that would mean it would become 12

6 0
2 years ago
Read 2 more answers
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