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scoundrel [369]
1 year ago
14

A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. Explain

your reasoning. (There are about 1.1 yards in a meter, and 2.54 cm in an inch.)
1 in to 1 ft

1 in to 1 m

1 in to 1 yd

Smallest:
[ Select ]

second smallest:
[ Select ]

Largest:
[ Select ]
Mathematics
1 answer:
Elanso [62]1 year ago
5 0

The order of the scale drawings from smallest to largest is

Smallest

1 in to 1 ft

Second smallest

1 in to 1 yd

Largest

1 in to 1 m

Given the following scales:

1 in to 1 ft

1 in to 1 m

1 in to 1 yd

We are to arrange the scales from smallest to largest.

Since 1 in is used as the base conversion for all the scales, we can convert the other scales to yards for consistency's sake.

Convert 1m to yards

1m = 1.1yards (From the question)

Convert 1ft to yards. According to conversion factor;

1 feet = 0.333333 yards

Ordering the scales from smallest to largest will give

0.33333yard (1 in to 1 ft), 1 yard (1 in to 1 yd), 1.1yards (1 in to 1 m)

Learn more here: brainly.com/question/14348682

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Tom built a fence around his rectangular shaped pool. The posts are 2 yards apart, there are 4 posts along the width and 8 posts
klio [65]
There are 24 (2x8+2x4) posts around the pool with 4 overlaps, therefore, there are 20 posts in total.
Among the 8 posts along one side, there are 7 gaps in between them. Hence, the length is 2x7=14yards
Among the 4 posts on the other side, there are 3 gaps in between them. Hence, the width is 2x3=6 yards
3 0
2 years ago
By rewriting the formula for the Multiplication​ Rule, you can write a formula for finding conditional probabilities. The condit
ss7ja [257]

Answer:

89.01% probability that a flight arrives on time given that it departed on time.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Departing on time

Event B: Arriving on time.

The probability that a flight departs and arrives on time is 0.81.

This means that P(A \cap B) = 0.81

The probability that an airplane flight departs on time is 0.91.

This means that P(A) = 0.91

Find the probability that a flight arrives on time given that it departed on time.

P(B|A) = \frac{0.81}{0.91} = 0.8901

89.01% probability that a flight arrives on time given that it departed on time.

5 0
1 year ago
The table shows the number of grade 7 and grade 8 students on the student council at Jeremy’s school.
Anika [276]
The answer to this is C. Although the initial ratio of Grade 7 to Grade 8 students is 17:34, which is 1:2, and which can be represented well by the 6 sides of the cube by putting 1 and 2 as Grade 7 and 3-6 as Grade 8, the problem with the cube rolls is that the probabilities will not change after students are chosen. The problem states that students cannot be selected more than once, so the cube roll will only work the first time, and may not be accurate for subsequent rolls.
5 0
2 years ago
Read 2 more answers
Point F is on circle C. What is the length of line segment GF? 12.5 units 15.0 units 17.5 units 20.0 units
geniusboy [140]
The answer:
According to the image, <span>the length of line segment GF can be found with
</span>GF= GC +CF
CF is one the radius, so CF=7.5
to find GC, we can apply Pythagorean theorem on the right triangle GEC
it is 
GC² =GE² + EC² = 10² +7.5² =156.25, and then GC= sqrt(156.25)=12.5

therefore, GF= GC +CF=12.5+7.5=20

so the answer is <span>20.0 units</span>
7 0
1 year ago
The surface areas of two similar solids are 312 ft2 and 1,198 ft2. The volume of the smaller solid is 239 ft3. What is the volum
marin [14]

Answer:

The volume of the larger solid is 1,798\ ft^{3}

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar , then the ratio of its surface areas is equal to the scale factor squared

so

Let

z-------> the scale factor

x-------------> surface area larger solid

y-------------> surface area smaller solid

z^{2} =\frac{x}{y}

substitute

z^{2} =\frac{1,198}{312}

z=\sqrt{\frac{1,198}{312}} ----> scale factor

step 2

Find the volume of the larger solid

we know that

If two figures are similar , then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z-------> the scale factor

x-------------> volume of the  larger solid

y-------------> volume of the smaller solid

z^{3}=\frac{x}{y}

we have

z=\sqrt{\frac{1,198}{312}}

y=239\ ft^{3}

substitute the values

(\sqrt{\frac{1,198}{312}}^{3})=\frac{x}{239}

x=239*(\sqrt{\frac{1,198}{312}}^{3})=1,798\ ft^{3}

5 0
1 year ago
Read 2 more answers
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