A 280 mL solution is 20% salt. How much water should be added to make the solution14% salt?

Mathematics

1 answer:

QveST [7]3 years ago

3 0

Answer:

400

Step-by-step explanation:

20%/14% = 1.42857

1.42857 x 280 = 400.

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Determine which numbers could not be used to represent the probability of an event. Select all that apply. A. StartFraction 64 O

vova2212 [387]

Answer:

A. $\frac{64}{25}$ , because probability values cannot be greater than 1.

C. -1.5, because probability values cannot be less than 0.

Step-by-step explanation:

Probability is the extent to which an event is likely to happen. It ranges from 0(impossible) to 1(certain). Probability values can be written in decimal form or in fractional form.

The following numbers could not be used to represent the probability of an event.

A. $\frac{64}{25}$ , because probability values cannot be greater than 1.

C. -1.5, because probability values cannot be less than 0.

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3 years ago

A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle

Lorico [155]

Answer:

Correct choice is A

Step-by-step explanation:

Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

$\sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.$
$\tan 42^{\circ}=\dfrac{AB}{BC}\Rightarrow BC=\dfrac{AB}{\tan 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 16.7\ ft.$