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3 years ago

A plane headed due south is traveling with an airspeed of 160 miles per

Mathematics

1 answer:

lord [1]3 years ago

5 0

Answer:

60 °

Step-by-step explanation:

Applying the law of sine we have the following:

160 / Sin B = 80 / Sin 30 °

We solve for B and we have:

160 / Sin B = 80 / 0.5

160 / Sin B = 160

Without B = 160/160

B = Arc Sin (1)

B = 90 °

Now to calculate the other angle (true

course) would be:

A = 180 ° - (B + C)

A = 180 ° - (90 ° + 30 °)

A = 60 °

That is to say that true course is 60 °

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irakobra [83]

Answer:

1. The elephant should be given _ fl oz.

2. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

3. 0.9 < 1.1

4. There are 7 tons in 14,000 pounds.

5. There are 17900 Milligrams in 17.9 grams.

Step-by-step explanation:

1. One ton is 2,000 pounds. So you would have to multiply 5.5 x 2,000.

5.5 x 2,000 = 11,000

Then you have to divide 11,000 by 250.

11,000/250 = 44

2. Every term in Pattern B is 4 times less than the term in Pattern A.

3. 0.9 is smaller than 1.1.

4. One ton is 2,000 pounds. 14,000/2,000 is 7 so this would mean that 14,000 pounds is 7 tons.

5. One gram is 1,000 milligrams, so you would have to multiply 17.9 by 1,000. This gives you 17900.

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3 years ago

On his first three tests, Hiram got scores of 89, 95, and 90. His final test score brought his median score to 91.5. What was I

Elena-2011 [213]

The median is the middle score, it is also the average of the two middle scores when total number is even.

original 3 scores: 89, 90, 95 ----> median = 90

with final score: 89,90,X,95 ----> median = 91.5

(90+x)/2 = 91.5
90+x = 183
x = 93

Final score was a 93.

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3 years ago

Linda Rove is paid $6.39 for each table she assembles. Last week she assembled the following number of tables. What was Roves pa

aleksandr82 [10.1K]

U dont really know what the answer is

7 0

3 years ago

SOLVE THE QUESTION BELOW ASAP

qwelly [4]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) 16 feet

Part C) see the explanation

Step-by-step explanation:

Part A) Graph the function

Let

h(t) ----> the height in feet of the ball above the ground

t -----> the time in seconds

we have

$h(t)=-16t^{2}+98$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex is a maximum

To graph the parabola, find the vertex, the intercepts, and the axis of symmetry

<em>Find the vertex</em>

The function is written in vertex form

The vertex is the point (0,98)

Find the y-intercept

The y-intercept is the value of the function when the value of t is equal to zero

For t=0

$h(t)=-16(0)^{2}+98$

$h(0)=98$

The y-intercept is the point (0,98)

Find the t-intercepts

The t-intercepts are the values of t when the value of the function is equal to zero

For h(t)=0

$-16t^{2}+98=0$

$t^{2}=\frac{98}{16}$

square root both sides

$t=\pm\frac{\sqrt{98}}{4}$

$t=\pm7\frac{\sqrt{2}}{4}$

therefore

The t-intercepts are

$(-7\frac{\sqrt{2}}{4},0), (7\frac{\sqrt{2}}{4},0)$

$(-2.475,0), (2.475,0)$

Find the axis of symmetry

The equation of the axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

$x=0$ ----> the y-axis

To graph the parabola, plot the given points and connect them

we have

The vertex is the point $(0,98)$

The y-intercept is the point $(0,98)$

The t-intercepts are $(-2.475,0), (2.475,0)$

The axis of symmetry is the y-axis

The graph in the attached figure

Part B) How far is the artifact fallen from the time t=0 to time t=1

we know that

For t=0

$h(t)=-16(0)^{2}+98$

$h(0)=98\ ft$

For t=1

$h(t)=-16(1)^{2}+98$

$h(1)=82\ ft$

Find the difference

$98\ ft-82\ ft=16\ ft$

Part C) Does the artifact fall the same distance from time t=1 to time t=2 as it does from the time t=0 to time t=1?

we know that

For t=1

$h(t)=-16(1)^{2}+98$

$h(1)=82\ ft$

For t=2

$h(t)=-16(2)^{2}+98$

$h(2)=34\ ft$

Find the difference

$82\ ft-34\ ft=48\ ft$

The artifact fall 48 feet from time t=1 to time t=2 and fall 16 feet from time t=0 to time t=1

therefore

The distance traveled from t=1 to t=2 is greater than the distance traveled from t=0 to t=1

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3 years ago

Which graph would represent x<2 ??? please help me quick

Vladimir79 [104]

Answer:

it is the bottom right answer

Step-by-step explanation:

im smart

7 0

3 years ago