Solve with explanation please

Answer:

711 ft (nearest foot)

Step-by-step explanation:

Create two equations using trig ratios and the information given (refer to the attached diagram).  Equate the equations and solve.

First equation

Let y = horizontal distance between sensor 1 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(20)=\dfrac{h}{y}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(20)}}[/tex]

Second equation

Let y + 700 = horizontal distance between sensor 2 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(15)=\dfrac{h}{y+700}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(15)}-700}[/tex]

Now equate the 2 equations and solve for h:

[tex]\implies \mathsf{\dfrac{h}{\tan(20)}=\dfrac{h}{\tan(15)}-700}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h}{\tan(15)}-\dfrac{h}{\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h\tan(20)-h\tan(15)}{\tan(15)\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{\tan(20)-\tan(15)}{\tan(15)\tan(20)}h}[/tex]

[tex]\implies \mathsf{h=\dfrac{700\tan(15)\tan(20)}{\tan(20)-\tan(15)}}[/tex]

[tex]\implies \mathsf{h=710.9678247...}[/tex]

Therefore, the height of the aircraft is 711 ft (nearest foot)

Answer:

for a single pizza 1/10 a cup

for 12 pizzas 1 1/5 a cup

you can make 56 pizzas with 5 2/3 cups.

Step-by-step explanation:

for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10

for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5

Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10

56/10÷1/10= 56 pizzas

Answer:

(2,7)

Step-by-step explanation:

a:1/6×18/1=18/6 when simplified is 3

b:4/6×18/1=72/6 when simplified is 12

c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.

Answer:

I think it might be A, it seems most reasonable. I'm probably wrong tho

Step-by-step explanation:

Answer:

it is D

Step-by-step explanation:

just multiplay

Answer:

25

Step-by-step explanation:

just add it together

Step-by-step explanation:

1. parallel 2. perpendicular 3. interescting

4. parallel 5. perpendicular

IV. 1/2 = 2/4 1/3 = 2/6 2/6 = 4/12

1/2 = 4/8 1/3 = 4/12 2/6 = 1/3

can you please mark my answer brainliest

Answer:

The correct answer would be -9 7/12

You have to multiply the numbers together.

Answer:

  minimum

Step-by-step explanation:

The sign of the leading coefficient of a quadratic tells you whether its graph opens upward or downward. Here, the sign of 1/500 is positive, so the graph opens upward. The function will have a minimum.

_____

Additional comment

For even-degree polynomials (quadratic = degree 2), the general shape of the curve will be ∪ or ∩. The latter will result from a negative leading coefficient.

For odd-degree polynomials, the general shape of the curve will be / or \. Again, the latter results from a negative leading coefficient.

These facts can help you identify the end-behavior of a polynomial function.

Answer:

519.50

Step-by-step explanation:

A = P [tex](1 + r)^{n}[/tex]

A = 300[tex](1 + .04)^{14}[/tex]

A = 300(1.7316764476)

A = 519.502934281

A = 519.50

Answer:

I do not know

Step-by-step explanation:

so I don't know anything abt math mostly thank you

Answer:

The mean is 7 and the range is 5

Step-by-step explanation:

To find the mean, just add up the scores and divide the total by the number of scores.

To find the range, subtract the lowest value from the highest value.

[tex]\textit{area of a sector of a circle}\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =45 \end{cases}\implies A=\cfrac{\pi (45)(24)^2}{360}\implies A=72\pi[/tex]

Answer:

Please review each attachment for a detailed explanation

Answer:

[tex]\displaystyle y + 6 = -\frac{2}{3}(x + 9)[/tex]

Explanation:

In the Point-Slope formula, [tex]\displaystyle y - y_1 = m(x - x_1),[/tex]−C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with those minus symbols.

I am joyous to assist you at any time.

Givᥱᥒ ,

[tex]\bold\purple{g(b) = 7b + 8}[/tex]

To fiᥒd ,

[tex]\bold\purple{g( - 3) = ?}[/tex]

Hᥱɾᥱ ,

Wᥱ ʝᥙ⳽t ᥒᥱᥱᑯ to ⳽ᥙᑲ⳽titᥙᥱ tᖾᥱ ʋᥲꙆᥙᥱ " ᑲ = -3 " iᥒ tᖾᥱ ᥱϙᥙᥲtioᥒ ɠiʋᥱᥒ ᥲᑲoʋᥱ.

Tᖾᥱɾᥱƒoɾᥱ ,

[tex]\bold\blue{g( - 3) = 7( - 3) + 8 } \\ \\ \bold\blue{ ⇝ - 21 + 8} \\ \\ \fbox\pink{ ⇝ - 13}[/tex]

hope helpful ~

Answer:

C

A  

E  

D

B

Step-by-step explanation:

Answer:4x 32/5

Step-by-step explanation:

If we look at it, we know that 4 and 32 is more than 3x42. Btw, 3x42 is 126 and 4 times 32 is 128.

Answer:

(-4,-2)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

55÷250×100=22.0

hence d

Answer:

The slope would be -4

Step-by-step explanation:

Since the two lines are parallel, the slopes would have to be the same because the lines can't intersect. In an equation of a line, the number before the "x" is always the slope.

Answer:

The slope of a line that is parallel to y=-4x+11 is m2=-4

Step-by-step explanation:

Parallel lines

The equation of a line of slope m and y-intercept b can be expressed as:

y=mx+b

The equation of the given line is

y=-4x+11

Which means its slope is m1=-4

Two parallel lines are defined to have the same slope. If m2 is the slope of a parallel line, then:

m2=m1=-4

Then, the slope of a line that is parallel to y=-4x+11 is m2=-4

Answer:

0

Step-by-step explanation:

2(3*2)^2-27(6/2)+3^2

=2(9*4)-27(3)+9

=72-81+9

=0

hope it helps:)