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uysha [10]
3 years ago
6

Solve the inequalities -7d + 8 > 29

Mathematics
1 answer:
Arisa [49]3 years ago
3 0
-7d > 21
d < -3

Remember the sign flips when you multiply or divide by a negative number.
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A 5 mile jogging path diagonal divides a rectangular park in half. The park is 4 miles long. Find the width of the park.
levacccp [35]

Answer:  The required width of the park is 3 miles.

Step-by-step explanation:  Given that a 5 mile jogging path diagonal divides a rectangular park in half and the park is 4 miles long.

We are to find the width of the park.

As shown in the attached figure below, the diagonal BD divides the rectangle ABCD into two equal parts,

where length DA = 5 miles, BD = 4 miles and AB = width = ?

Since each angle of a rectangle is right-angle, so triangle ABD will be a right-angled triangle.

Using Pythagoras theorem in triangle ABD, we have

BD^2=AB^2+DA^2\\\\\Rightarrow AB=\sqrt{BD^2-DA^2}\\\\\Rightarrow AB=\sqrt{5^2-4^2}\\\\\Rightarrow AB=\sqrt{25-16}\\\\\Rightarrow AB=\sqrt{9}\\\\\Rightarrow AB=3.

Thus, the required width of the park is 3 miles.

7 0
3 years ago
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor function
Jet001 [13]

Answer:

A. neither a relation nor a function

Step-by-step explanation:

A relation between two sets is a collection of ordered pairs containing one object from each set.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Quadratic equations are not functions. Quadratic equations are not a function because they touch two points that is on the same y-axis. Furthermore, if they are two points that have the same x axis, then it is not a function either. It doesn't have a relation either because there are two outputs that are the same by the x axis for 3x^2 - 9x + 20. Those are x = 1 and x = 2. For proof, you can plug both of them in.

3(1)^2 - 9(1) + 20 = 14

3(2)^2 - 9(2)+ 20 = 14

Both answers have 14 as the y-axis/output. This proves that this quadratic equation is not a relation either. Therefore, this equation is neither a relation nor a function.

4 0
3 years ago
The time (t) it takes to clean an office building is directly related to the number of people (p) working.
cricket20 [7]

Answer:

Step-by-step explanation:

The time is inversely related to the number of people working so that as the number of people working increases, the time required decreases

t = k p  

divide both sides by p  

t/p =k

4 0
4 years ago
Read 2 more answers
The estimated sum of 857 + 234 is
Llana [10]

Answer:

1,091

hope it helps.

6 0
3 years ago
Cual es la utilidad de la representacion a escala de diferentes distancias reales
svp [43]

Answer:

Scales are used to represent real distances and proportions into maps and planes, that way we can have a bigger perspective about something just having in paper.

One direct use of scales are seen in architecture plans, there, the architect uses scales to represent the construction he is designing. Also, the architect can have a more complete point of view about the principial elements on his work.

6 0
3 years ago
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