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mamaluj [8]
2 years ago
6

A kennel has 8 adult dogs and 14 puppies. What is the ratio of adult dogs to puppies? Use a multiplicative comparison to explain

its meaning.
Mathematics
1 answer:
kobusy [5.1K]2 years ago
5 0
The answer is 8:14. this can be simplified to 4:7 (divide by 2).
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A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the
velikii [3]

Answer:

\theta=cos^{-1}(\frac{2}{3})

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}

\times =2\hat{i}-\hat{j}+2\hat{k}

Now, we are finding the angle between  \timesand vertical vector <0,0,1>

Angle between two vectors formula

cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }

Now, using this formula

cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}

\theta=cos^{-1}(\frac{2}{3})

Hence, the tower deviate from the vertical by the angle \theta=cos^{-1}(\frac{2}{3})

6 0
2 years ago
Solve the following addition and subtraction problems. a. 3 km 9 hm 9 dam 19 m + 7 km 7 dam b. 5 sq.km 95 ha 8,994 sq.m + 11 sq.
kipiarov [429]
As a general rule to solve the problem we are going to transform all values to the lower unit.  
a. 3 km 9 hm 9 dam 19 m + 7 km 7 dam
  3,000 m 900 m 90 m 19 m + 7,000 m 70 m = 4,009 + 7,070 = 11,079 m 
  b. 5 sq.km 95 ha 8,994 sq.m + 11 sq. km. 11 ha 9,010 sq. m.
  5,000,000 sq m 95,0000 sq m 8,994 sq m + 11,000,000 sq m 110,000 sq
9,010 sq m
  5,103,994 sq m + 11,119,010 sq m = 16,223,004 sq m 
 c. 44 m – 5 dm
  44 m - 0.5 m = 43.5 m 
 d. 73 km 47 hm 2 dam - 11 km 55 hm

  73,000 m 4,700 m 20 m - 11,000 m 5,500 m 
77,720 m - 16,500 m = 61,220 m
5 0
2 years ago
Leon bought trail mix that cost $0.78 per pound. He paid $6.24 for the trail mix. How many pounds of trail mix did he buy?
12345 [234]
If Leon bought trail mix worth of $ 6.24, and he paid 0.78 per pound,

6.24/0.78= 8 lbs
3 0
2 years ago
Read 2 more answers
A computer is normally $899 but is discounted to $799. What percent of the original price does Shawn pay?
Oksi-84 [34.3K]
<span>A computer is normally $899 but is discounted to $799.
Question: What percent of the original price does Shawn pay?
=> 799 dollars is the discounted price
=> 899 dollars is the original price
=> 899 – 799 = 100 dollars – the discount price that was deducted to the original price.
Solution
=> 100 / 899 = 0.11
=> 0.11 * 100% = 11%
Thus, the computer has a discount of 11%.</span>



4 0
2 years ago
A graduate weighs 35.825 g. When 10 mL of water are measured in it, the weight of the graduate and water is 45.835 g. Calculate
erik [133]

Answer:

Calculated weight of water = 10.01 g

percentage error = 0.1%

Step-by-step explanation:

Given:

Weight of graduate = 35.825 g

Weight of graduate + Water = 45.835 g

Now,

The weight of water = ( Weight of graduate + Water ) - Weight of graduate

or

The weight of water = 45.835 - 35.825

or

The weight of water = 10.01 g

Now,

The percentage of error = \frac{\textup{Calculated value - Actual value}}{\textup{Actual value}}\times100

or

The percentage error = \frac{\textup{10.01 - 10}}{\textup{10}}\times100

or

The percentage error = 0.1%

3 0
2 years ago
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