Mai is flying a plane at an altitude of 1600 ft. She sights a stadium at an angle of
depression of 35°. What is mai’s approximate direct distance to the stadium?

Complete Question:

Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?

Answer:

Tim has 90 hard cover books

Step-by-step explanation:

Represent the paper books as P and the hard covers as H

The total number of books can be represented as:

[tex]P + H = 447[/tex]

From the first statement, we have:

P = 3 less than 4 times H

This means:

[tex]P = 4H - 3[/tex]

Required

Solve for H

Substitute 4H - 3 for P in [tex]P + H = 447[/tex]

[tex]4H - 3 + H = 447[/tex]

Collect Like Terms

[tex]4H + H = 447 + 3[/tex]

[tex]5H = 450[/tex]

Solve for H

[tex]H = \frac{450}{5}[/tex]

[tex]H = 90[/tex]

Hence:

Tim has 90 hard cover books

Answer:

[tex]x=\frac{3\pi}{4}\\\\x=\frac{5\pi}{4}[/tex]

Step-by-step explanation:

Trigonometric Equations

It's required to solve:

[tex]\cos x+\sqrt{2}=-\cos x[/tex]

for [tex]x\in [0,2\pi)[/tex]

Adding cos x:

[tex]2\cos x+\sqrt{2}=0[/tex]

Subtracting [tex]\sqrt{2}[/tex]

[tex]2\cos x=-\sqrt{2}[/tex]

Dividing by 2:

[tex]\displaystyle \cos x=-\frac{\sqrt{2}}{2}[/tex]

Solving for x:

[tex]\displaystyle x=\arccos\left(-\frac{\sqrt{2}}{2}\right)[/tex]

We need to find the angles whose cosine is [tex]-\frac{\sqrt{2}}{2}[/tex] over the given interval.

These angles lie on the quadrants III and IV respectively and they are:

x=135°, x=225°

Converting to radians:

135 * π / 180 = 3π/4

225 * π / 180 = 5π/4

The two solutions are:

[tex]\mathbf{x=\frac{3\pi}{4}}[/tex]

[tex]\mathbf{x=\frac{5\pi}{4}}[/tex]

Answer:

The correct answer is option C

Step-by-step explanation:

Answer: 0.1548

Step-by-step explanation:

The P value can be calculated from the value of the test statistic :

H0 : p ≤ 0.28

H1 : p > 0.28

Zstat :

(p - p0) / √((p0(1-p0))/n)

p = 0.32 ; p0 = 0.28 ; n = 130

(0.32 - 0.28) / √((0.28(1 - 0.28))/130)

Zstat = 1.0157490

Zstat = 1.016

Using a 0.05 significance ;

The P value obtained using the p value from z statistic calculator is 0.154815

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

ANSWER 35

Step-by-step explanation:

7 and 5 - 35

Now just simplify the 3 and 4 :)

Answer:

i think its 58824.5

The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

A line with a slope of 3 passes through the point (6,9).

m = 3

The line equation:

y = mx + c

y = 3x + c

9 = 3(6) + c

c = -9

y = 3x - 9

Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

Learn more about the straight line here:

brainly.com/question/3493733

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First, determine what 15% of $40 is.

Convert 15% to a decimal: 0.15

Then multiply this decimal by $40: 0.15 x 40 = 6

So the discount is $6.

We subtract the discount from original price to get sale price.

40-6= 34

So the item will cost $34.

Answer:

40

Step-by-step explanation:

140-180= 40

Answer:

Let's see

Step-by-step explanation:

Two triangles are same ∆1 and ∆2

They have same height and breath

Now ∆1= ∆2

=> ar(∆1)= ar(∆2)

The same is for quadrilaterals

Answer:

8/9

Step-by-step explanation:

Answer:

1/9 cup of sugar for every 1/4 cup of flour

Step-by-step explanation:  Turn the 1/3 into 3/9 and I'm sure you can figure it out from there.

Answer:

100

Step-by-step explanation:

20% of 500 is 100

Answer:

$100

Step-by-step explanation:

20% is the same as 1/5. 1/5 of 500 is 100. Then add dollar signs, and you have your answer.

Answer:

Step-by-step explanation:

Line x = 0 is parallel to y-axis

Line parallel to given line is also parallel to y-axis. It passes through point (-2, 3), so its equation is:

Answer:

Step-by-step explanation:

1) length of the field = 18 unit= 18*20=360 ft

2) circumference = 2(l+w)

2*(18*20+8*20)=1040

3) Area of the field = 18*8 units = 18*20*8*20ft^2 = 57600ft^2

Cost for the entire area= 57600*2.69= 170,000$

No it doesn't

A) The length of the field is 360 feet

B) The Perimeter of field is 1040 feet

C) The  school does not have enough money to purchase new turf for the entire field.

The Area of rectangle is the product of the length to its width.

Area of rectangle= length x width

Given:

1 block= 20 feet

A) length= 18 blocks

          = 18 x 20

          = 360 feet

width= 8 blocks

          = 8 x 20

          = 160 feet

B) Perimeter of field

= 2( l+w)

=2( 360 + 160)

= 2 x 520

= 1040 feet

C) Area of field

= l x w

=360 x 160

= 57600 feet²

If cost of 1 square feet is $2.96

and, the cost of  57600 feet²

= 2.96 x 57600

= $170,496

No, the school does not have enough money to purchase new turf for the entire field.

Learn more about area of rectangle here:

https://brainly.com/question/20693059

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Answer:

-2(8x-5)

Step-by-step explanation:

Answer:

I think you meant -14x+18-11-2x+3=0

If that's the case then x= 5/8

Step-by-step explanation:

-16x+10=0

-16x= -10

x= -10/-16 = 5/8

In decimal form it is 0.625

The equation would be 1.50x - 14 = P

If lucas sells 19. cups then that means he will earn a total of 29.25$ but since he spent 14$ for the materials itself that concludes to the total being 15.25.This would be a viable solution because he is earning more money then  he is loosing.

Answer:

-14.2

Step-by-step explanation:

f(x)=-3x+5 Write original equation

f(6.4)=-3(6.4)+5 Substitute 6.4 in for x.

=-14.2 Solve

Answer:

D.

Step-by-step explanation:

Answer:

s = 1

t = -10

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

15s + t = 5

4s = 3t + 34

Step 2: Rewrite

15s + t = 5

Step 3: Redefine Systems

45s = -3t + 15

4s = 3t + 34

Step 4: Solve for s

Elimination

Step 5: Solve for t

Answer:

Explanation is below

Step-by-step explanation:

Here ya go

Step 1

15s+t=5,4s=3t+34  Question

Step 2

4s=3t+34  Substitute  -15s+5

4s=3(-15s+5)+34

s=1

Step 3

t=-15s+5  Substitute 1 for s

t=(-15)(1)+5

t=-10

answer

s=1

t=-10

Answer:

24 amps

Step-by-step explanation:

Current = k /resistance

k = current × resistance

= 40 × 12

= 480

If the resistance is 20 ohms then the current can be calculated as follows

Current = 480/20

= 24 amps

Answer

(2,0) Brainliest please

Step-by-step explanation:

Answer:

592 miles

Step-by-step explanation:

Answer:

592 miles

Step-by-step explanation:

1. To figure out how many miles Jordan drove, multiply 6 by 55. 6 x 55 = 330.

2. To figure out how many miles Matt drove, multiply 3 by 60. 3 x 60 = 180.

3. Add 330 and 180 together to find out how many miles they drove in total. 330 + 180 = 510 miles.

4. Add Isaac's 82 miles to 510 miles to get the answer of 592 miles.

Answer:

the answer is the second choice

Step-by-step explanation:

hopefully this helps :)

Answer:

a

Step-by-step explanation: