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ella [17]
3 years ago
7

Read the following statement: Line segment MN is congruent to line segment OP.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0

Answer:c

Step-by-step explanation:

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In a certain town, the amount of sulfur oxide in the air, S, in tons, is related to the town’s population, P, in people. The rel
Lady bird [3.3K]

Answer:

Change in sulfur oxide in the air = \frac{\textup{110010}}{\textup{S}}

Step-by-step explanation:

Data provided in the question:

Relation between the amount of sulfur oxide in the air and the population as:

S² = 110P² + 20P + 600

Population growth rate, \frac{\textup{dP}}{\textup{dt}}  = 10 people per month

Now,

change in sulfur oxide with time i.e \frac{\textup{dS}}{\textup{dt}}

differentiating the given relation with respect to time 't'

we have

2S\frac{\textup{dS}}{\textup{dt}} =  2\times110P\frac{\textup{dP}}{\textup{dt}}  + 20

at P = 100 and  \frac{\textup{dP}}{\textup{dt}}  = 10 people per month

we have

2S\frac{\textup{dS}}{\textup{dt}} = 2 × 110 × 100 × 10 + 20

or

2S\frac{\textup{dS}}{\textup{dt}} = 220020

or

\frac{\textup{dS}}{\textup{dt}} = \frac{\textup{220020}}{\textup{2S}}

or

Change in sulfur oxide in the air = \frac{\textup{110010}}{\textup{S}}

8 0
2 years ago
3. Are these ratios equivalent? 35:28 and 10:8 *
attashe74 [19]

Reduce each ratio to its minimum expression to find if they are equal.

35:28

\begin{gathered} \frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ =\frac{5}{4} \end{gathered}

10:8

\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}

Since both ratios reduce to 5:4, they are equivalent.

Another way to check a:b is equivalent to c:d, is that a*d = b*c

In this case, this will be true if 35 times 8 is equal to 10 times 28:

\begin{gathered} 35\cdot8=280 \\ 10\cdot28=280 \end{gathered}

Since both products are equal, then the ratios are equivalent.

4 0
11 months ago
What is the area of the square units ? W (11,2), X (11,8), Y (14,8), Z (14,2)
aleksklad [387]

Answer:

18 units²

Step-by-step explanation:

Find the side lengths then multiply the length and width to find the area.

3 0
2 years ago
The camp cook made 1 1/2 pints of baked beans. Each serving of beans is 3/10 of a pint. How many servings of beans did the cook
Marta_Voda [28]
Answer:
number of servings = 5 servings

Explanation:
We are given that each serving is 3/10 of a pint. To know the number of servings of 1.5 pints, we will simply use cross multiplication as follows:

1 serving ....................> 3/10 pint
?? servings ................> 1.5 pints

number of servings = (1.5*1) / (3/10)
number of servings = 5 servings

Hope this helps :)
6 0
2 years ago
Read 2 more answers
Please answer soon <br> (2x+5)37 what is x
AleksandrR [38]

Answer:

74 x + 185

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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