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Shkiper50 [21]
3 years ago
13

Two students stand 1 yard apart and measure their respective angles of elevation to the top of a tree. Student A measures the an

gle to be 57°, and Student B measures the angle to be 46°.
Triangle T G A is shown. A line is drawn from point T to point A to form a second triangle. Angle T G A is a right angle, angle G A T is 57 degrees, and angle G B T is 46 degrees. The length of G T is h and the length of A B is 1 yard.

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

What is h, the height of the tree? Use the law of sines to first find AT. Then use that measure to find the value of h.

3.0 yards
3.2 yards
3.8 yards
4.4 yards
Mathematics
2 answers:
zubka84 [21]3 years ago
6 0
The answer I believe it is 4.4 yards
tangare [24]3 years ago
5 0

Answer:

3.2 yards

Step-by-step explanation:

correct on edge

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A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,
8_murik_8 [283]

Answer:

f(x) = -6x +120

Step-by-step explanation:

Let's call y the number of patients treated each week

Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

y = mx + b

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

(5, 90)

We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

(10, 60).

Then we can find m and b using the followings formulas:

m=\frac{y_2-y_1}{x_2-x_1}   and b=y_1-mx_1

In this case: (x_1, y_1) = (5, 90) and (x_2, y_2) = (10, 60)

Then:

m=\frac{60-90}{10-5}

m=-6

And

b=90-(-6)(5)

b=120

Finally the function that shows the number of patients seen each week at the clinic is:

f(x) = -6x +120

7 0
3 years ago
Read 2 more answers
How many packages of hamburger buns and meat patties should you buy to sell at a baseball tournament?
Mandarinka [93]
13 packs of meat patties and 16 packs of buns
4 0
4 years ago
A woman bought some large frames for ​$18 each and some small frames for ​$8 each at a closeout sale. If she bought 21 frames fo
IrinaVladis [17]

Answer:

<em> 8 large frames and 13 small frames</em>

Step-by-step explanation:

<u><em>Given:</em></u><em>
$18 each = large frames</em>

<em>$8 each = small frames</em>

<u><em>To Find:</em></u>

<em>⇒  Bought 21 frames for ​$​248, find how many of each type she bought</em>

<u><em>Solve:</em></u>

<em>1 Large frame costs = 18 $</em>

<em>Therefore, x large frames costs = 18x $</em>

<em>{where x is the number of large frames she bought}</em>

<em>1 Small frame costs = 8 $</em>

<em>Therefore, x Small frames costs = 8y $</em>

<em>{where y is the number of small frames she bought}</em>

<em>By the given condition :</em>

<em>18x + 8y = 248        {equation 1}</em>

<em>x + y = 21                 {equation 2}</em>

<em>Solve these equations simultaneously, from second equation we get :</em>

<em>x = 21- y</em>

<em>18⋅(21−y)+8y= 248</em>

<em>378 - 18y+8y = 248</em>

<em>-10y = -130</em>

<em>y = 13</em>

<em>Put y = 13 in eq x = 21- y</em>

<em>x = 21  - y</em>

<em>x = 21 - 13</em>

<em>x = 8</em>

<em>So the woman bought 8 large frames and 13 small frames.</em>

<em />

<u><em>~lenvy~</em></u>

5 0
2 years ago
What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
skad [1K]
Use a portion of the circumference: pi x 2 x r x angle at centre =8xpix72/360 =8pi/5
3 0
3 years ago
Find the equation of the starlight line
lys-0071 [83]
Y = mx + c

m = 2/1
m = 2

y = 2x + 3
6 0
2 years ago
Read 2 more answers
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