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lukranit [14]
3 years ago
14

Triangle CAT is similar to Triangle DOG. The length of Segment CT is 6 ft. The length of Segment

Mathematics
1 answer:
alekssr [168]3 years ago
3 0

Answer:

segment OG is 15 ft

Step-by-step explanation:

You might be interested in
1) Desmond knows that 2 cakes will feed 11 people. If he is inviting 58 people to his parents' anniversary party, how many cakes
amm1812

Answer:

1. D

2. D

3. C

4. C

5. C

6. C

7. D

8. A

9. No question given (shown)

10. 8047 meters


Step-by-step explanation:


1.

If 2 cakes feed 11 people, then 1 cake feeds \frac{11}{2}=5.5 people

To find how many cakes it will require to feed 58 people, we divide 58 by 5.5:

\frac{58}{5.5}=10.55

We can't make fractional cakes, so we will need 11 cakes.

Answer choice D is right.


2.

To get ratio of banana to all fruit, we make the fraction with total number of bananas on top and total number of fruits on bottom.

Total bananas = 4

Total fruits = 12 +4 +8 = 24

So the ratio is \frac{4}{24}

Reducing it, we get \frac{4}{24}\\=\frac{1}{6}

We can write this as 1:6

Correct answer D


3. <em>"What is 34% written as a ratio?"</em>

To write in ratio (fraction), we divide the number in front of the percent sign (which is 34) by 100. So we have \frac{34}{100}

We can write this as 34:100

C is right


4.

First, 5 pounds per foot for 12 foot is 12 * 5 = 60 pounds

We need to change foot to meter and pounds to kg. We need two unit ratios for this. It is shown below:

\frac{60Pounds}{12Feet}*\frac{0.454Kg}{1Pound}*\frac{1Feet}{0.305Meters}\\=\frac{(60)(0.454)}{(12)(0.305)}\\=7.44\frac{Kg}{Meters}

Answer choice C is right.

<u>Note:</u> in the calculation above, pounds and pounds cancel as well as feet and feet cancel


5.

To get ratio (fraction) of blue to red marbles, we divide total number of blue by total number of red.

Total blue = 60 (given)

Total red = 90 - 60 = 30

So Ratio is \frac{60}{30}=2:1

Answer choice C is right.


6. Clark gives \frac{3}{10} to charity, this in percentage is 30%

We do long division and get a decimal and then multiply the decimal by 100 and stick a "%" sign after that:

\frac{3}{10}=0.3\\0.3*100=30

Hence 30%

Answer choice C is right.


7.

The first 5 level points are 20, 25, 30, 35, & 40. As we can see from the pattern, for each level inrease, the number of stars increase by 5.

Fifth level is 5 * 8 = 40

-------------------------------- Now,

  • Sixth level will be 40 + 5(6 -5) = 40+5=45
  • Seventh level will be 40 + 5(7 -5) = 40 + 5(2)=50
  • Eight level will be 40 + 5(8 -5) = 40 + 5(3) = 55

Seeing the pattern, 30th level would be : 40 + 5(30 -5) = 40 +5(25) = 165

Answer choice D gives us the correct answer.


8.

To get dollar rate per minute, we divide dollars by minutes for each and whichever is lowest, that is the BEST.

A) 240 minutes for $50 a month: \frac{50}{240}=.21 dollars per minute

B) 140 minutes for $70 a month: \frac{70}{140}=.50 dollars per minute

C) 200 minutes for $45 a month: \frac{45}{200}=.23 dollars per minute

D) 800 minutes for $250 a month: \frac{250}{800}=.31 dollars per minute

So we can see that the lowest and best rate is that of A).

Answer choice A is correct.


9. Question not given (shown).


10. <em>"1 mile = 5,280 feet 1 foot = 0.3048 meters Convert 5 miles to meters (round to the nearest meter)."</em>

We first change 5 miles to feet, and then to meters by setting up the ratio shown below:

5Miles*\frac{5280Feet}{1Mile}*\frac{0.3048Meters}{1Feet}\\=5(5280)(0.3048)\\=8046.72 meters

<u>*Note:</u> miles and miles cancel and feet and feet cancel when doing the conversion

Rounded to nearest meter, 8047 meters

8 0
3 years ago
Read 2 more answers
Which property is illustrated by the statement 13x12=12x13
finlep [7]
Oooh I don't know the exact wording, but it is the property that states that the order of the numbers in the equation can be switched and still equal the same thing as long as the signs are still kept.
8 0
3 years ago
Read 2 more answers
What is the smallest number such that when it is divided by 3,5,7 leaving remainder 2 in each case
aleksley [76]
Isn't it 107? LCM of 3 5 7 should be 105 + 2 = 107?
7 0
3 years ago
Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
alekssr [168]

Answer:

They traveling at 0.37\ m/s in backward direction.

Step-by-step explanation:

Given mass of Ammy m_1=55kg

and velocity is forward at v_1=3m/s

Also, mass of Jenny m_2=40kg

Who is travelling in opposite direction v_2=-5m/s

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is v

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

m_1v_1+m_2v_2=(m_1+m_2)v

(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s

So, velocity after collision v≅-0.37m/s is in opposite direction. That is the direction of Jenny.

6 0
3 years ago
What us the problem to 5^4×3^2
torisob [31]

Answer:

The answer is <u>5625</u>

Step-by-step explanation:

Lets break up the problem

So you have two things: 5^4 and 3^2

Solve seperately

Gives you 625 and 9

Then multiply both together

625*9 = <u>5625</u>

4 0
3 years ago
Read 2 more answers
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