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zaharov [31]
3 years ago
7

ariel has test scores of 90, 74, 82, and 90. The next test is the final exam, which counts as two tests. what score does the stu

dent need on the final exam to produce an average score of 90?
Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Answer:116

Step-by-step explanation:

(90+74+82+90+x)/5=90

x=450-(90+74+82+90)

x=116

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Enter the unknown value that makes this statement true.<br> 35 is % of 70
Shkiper50 [21]

Answer:

Step-by-step explanation:

35 = x% of 70

35 = 1/2 of 70

x% = 50%

x = 50

5 0
3 years ago
A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many na
ira [324]

Answer:

Approximately 58.2\; \text{nautical miles} (assuming that the bearing is {\rm S$29^{\circ}$W}.)

Step-by-step explanation:

Let v denote the speed of the ship, and let t denote the duration of the trip. The magnitude of the displacement of this ship would be v\, t.

Refer to the diagram attached. The direction {\rm S$29^{\circ}$W} means 29^{\circ} west of south. Thus, start with the south direction and turn towards west (clockwise) by 29^{\circ} to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of v\, t. The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly 29^{\circ}.

Since the hypotenuse is of length v\, t, the dashed line segment opposite to the \theta = 29^{\circ} vertex would have a length of:

\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}.

Substitute in \begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned} and t = 6\; \text{hour}:

\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}.

7 0
2 years ago
If circumference is 68 inched how many feet across ?
Korolek [52]

Answer:

5 2/3 I think

Step-by-step explanation:

divide 68 by 12

4 0
3 years ago
-34 &gt; -10 + 4x<br> Help ASAP
irga5000 [103]

Step-by-step explanation:

-34 > -10 + 4x

-24 > 4x

x < -6.

7 0
3 years ago
Read 2 more answers
HELP ME WITH PRE CALC!! 50 PTS AND BRAINLIEST FOR CORRECT ANSWERS!!!!
Inessa [10]

Answer:

numero tres es correcto

Step-by-step explanation:

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3 years ago
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