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Evgesh-ka [11]
3 years ago
10

We plan to construct a line segment through point P and perpendicular to line segment EF. What is the SMALLEST number of compass

adjustments with which this can be done? A) 1 B) 2 C) 3 D) 4
Mathematics
2 answers:
pantera1 [17]3 years ago
4 0
The answer to your question would be A, 1.
eimsori [14]3 years ago
3 0

Answer:

A) 1

Step-by-step explanation:

REmember that to create the perpendicular line segment to the segment EF you just have ot adjust the compass to three quarters and draw semi circular segments from points E and "F" that would intersect with eachother and from there to the other side of the segment you draw a line fomr the two points where the semi circles intersect with eachother. so you only need one adjustment to the compass.

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How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution?
Vinvika [58]

Answer:

we have 8 quarts of 40% antifreeze,

according to the britain equivalent, 1 quart = 1.13L

so, we have 8 * 1.13L  = 9.04 L

out of the 9.04 L, 40% is antifreeze

amount of antifreeze = 0.4 * 9.04 = 3.616 L

moles of antifreeze present = 3.616/22.4 = 0.16 moles

moles of antifreeze in 60% solution = 0.6 * v/22.4 = 0.027 * v          

<em>(where v is the volume of final solution)</em>

molarity of initial solution = 0.16/9.04 = 0.018 M

molarity of final solution = 0.027*v/v = 0.027 M

m1*v1  = m2*v2

0.018 * 9.04 = 0.027 * v

v = 0.018 * 9.04/0.027

v = 6.026 L

amount if antifreeze in the final solution = 6.026 * 0.027 =  

0.163 Moles of antifreeze

amount in L = 0.163 * 22.4 = 3.65 L

amount in quarts  = 3.65/1.13 = 3.23 quarts

4 0
3 years ago
Help ASAP!!!!! Due in 5 minutesp
Pachacha [2.7K]

Answer:

-1/2

Step-by-step explanation:

to find perpendicular slope, flip the number and the sign

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3 years ago
Please answer the question in the photo, thanks!
belka [17]

Answer:

\therefore 2\dfrac{1}{3}  \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}

Step-by-step explanation:

The question relates to dividing a fraction by proper and another fraction

The given expression is presented as follows;

2\dfrac{1}{3}  \div \left ( -3\dfrac{2}{3} \right )

We rearrange the fractions as improper  fractions for easier division as follows;

2\dfrac{1}{3}  = \dfrac{7}{3}

-3\dfrac{2}{3} = -\dfrac{11}{3}

Therefore, we have;

2\dfrac{1}{3}  \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}

\therefore 2\dfrac{1}{3}  \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}

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2 years ago
A blank is a unit rate with a denominator of 1 unit
Dima020 [189]
It is 3. That's the correct answer

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3 years ago
In which set are all of the numbers solutions to the inequality x &lt; -3?
Tomtit [17]

Answer:

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Step-by-step explanation:

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3 years ago
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