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Alexus [3.1K]
3 years ago
6

At 7:00 a.m., the temperature was -3°F. At 6:00 p.m., the temperature was

Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

Answer:

<em>A) -3 + 9 + 4</em>

Step-by-step explanation:

We are given the following information: At 7:00 a.m., the temperature was -3°F. At 6:00 p.m., the temperature was  9°F greater than the temperature at 7:00 a.m. This means the temperature at 6:00 p.m. is calculated as -3 + 9.

We know this last temperature is 4°F less than the temperature at noon, thus the temperature at noon is calculated as -3 + 9 + 4

A) -3 + 9 + 4

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QUESTION 1
Kitty [74]

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is

<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)

The cosine of the angle between the vectors can be obtained from the dot product identity,

<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>)   ==>   cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)

so that

<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)

For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is

<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==>   <em>W</em> ≈ 5.12 J

(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).

3 0
3 years ago
Can you conclude from the figure that ABC is similar to DEF? Explain.​
pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

8 0
3 years ago
Solve:<br> 3x + x -5 = 2(x -2)
RUDIKE [14]

Answer:

1/2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please help I've been trying so many times
Annette [7]

Answer:

A. -2, 1

Step-by-step explanation:

Observe the chart and see where the f(x) and g(x) intersect.

When x=-2, f(-2)=g=(-2) and when x=1, f(1)=g=(1).

7 0
3 years ago
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Luda [366]

Answer:

196

Step-by-step explanation:

196

8 0
3 years ago
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