You are traveling by car to New York City. The map you will use for your journey is below. d) You plan to begin your journey in San Jose and make stops in Denver and Chicago on your way to New York City. Your father says that your journey will be about 3,000 miles. Is this a close estimation of the distance? Explain your reasoning.

Answer:

x = 35.20735

Step-by-step explanation:

Use tanФ = opposite/adjacent

tan58 = x/22

x = 35.20735

Question 1:

Removing the zero from 0.76 leads to .76 which is the same as before. Both lead to [tex]7.6 \times 10^{-1}[/tex] in scientific notation.

Personally I prefer the zero up front to make the decimal point stand out easier. Of course it's just a preference, so its up to you to decide which you prefer.

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Question 2:

Taking the zero out of 10.25 leads to 1.25 which is definitely a different number (and smaller). Therefore, this zero is a significant digit compared to before.

Answer: y=x-6

Step-by-step explanation:

The value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex] the option first is correct.

It is given that the  [tex]\rm tan\theta = -\frac{3}{8}[/tex]

It is required to find which expression is equivalent to [tex]\rm cot\theta[/tex].

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have  [tex]\rm tan\theta = -\frac{3}{8}[/tex] , which is a ratio of side opposite side of an angle to the side adjacent to the angle.

We know [tex]\rm cot\theta[/tex] is a ratio of the side adjacent to the angle to the side opposite to the angle ie. it is the opposite of the [tex]\rm \tan\theta[/tex] ie.

The  [tex]\rm tan\theta = \frac{1}{cot\theta}[/tex]

or    [tex]\rm cot\theta = \frac{1}{tan\theta}[/tex]

Putting the value of [tex]\rm tan\theta[/tex] in the above equation, we get:

[tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  

Or

[tex]\rm cot\theta = -\frac{8}{3}[/tex]

Thus, the value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex].

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Answer:

first option

Step-by-step explanation:

Answer:

168 hours

Step-by-step explanation:

24 × 7 = 168 hours

So 168 hours in 7 days

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Divide money earned by hours worked to get the hourly rate of $11.00 per gour.

Answer: C. $11.00 per hour

Answer:

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x ← is in slope- intercept form

with slope m = 4

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then

y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.

The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

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Answer: C. 24 units

Step-by-step explanation:

C is the correct answer. This is because the length of the segment doesn't change when reflected along the x-axis or translated left or right. The length of a segment only changes if the given figure is stretched or compressed, which doesn't occur in the given case or question.

Answer:

  B

Step-by-step explanation:

The given expressions can be compared by putting each in standard form.

A. -8 -7n +16n = (-7+16)n -8 = 9n -8

B. 9(n -8) = 9n -72 . . . . different from the others

C. n -8 +8n = (1 +8)n -8 = 9n -8

D. 9n -8

_____

The standard form of a polynomial expression has the variable terms in decreasing order by degree

Answer:

 xy

---------

x + y

Step-by-step explanation:

(xy)

-----  is in its simplest form.

(x + y)

I hope this helps!

The capacitance between two parallel plates of area s and separation of d is;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.

The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.

The capacitance between two parallel plates of area s and separation of d is given by the following formula;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.

According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.

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We know, perimeter of the rectangle = 2(l +b)

where, l = length and b = breadth

Here, the perimeter of the rectangle is 48 kilometers and the height is of 10 kilometers. We can take height as the breadth.

=> Perimeter = 2(l + b)

=> 48 = 2(l + 10)

=> 48/2 = l + 10

=> l + 10 = 24

=> l = 24 - 10

=> l = 14 kilometers

Answer:

No. Just no the formula

Hyp2= Adj2 +Opp2

The Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.

Pythagoras came up with a theorem that says, “the square of the hypotenuse of a right-angled triangle is equal to the sum of the square of the other two sides.” This theorem is known as the Pythagoras theorem.

Pythagorean theorem is a theorem in geometry that relates all the three sides of a right triangle.

It states that, in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

A right triangle is a three-sided closed geometric plane figure in which one of the 3 angles is 900.

In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse.

The horizontal side forming the right angle is called the base of the right triangle and the vertical side is the hypotenuse.

For example, if ΔABC is a right triangle with sides AB, BC, and AC such that the triangle is right-angled at B, then the Pythagoras equation is written as:

[tex]\rm Hypotenuse ^2= Base^2+ Perpendicular^2\\\\AB^2+BC^2=AC^2[/tex]

Hence, the Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.

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Answer:

4units is the answer to the question

Answer:

4

Step-by-step explanation:

took the k12 test

is there a value to y? if not, this is what I got:

Y^2 + 2y + 3

Answer:

49pi

Step-by-step explanation:

Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.

P.S: don't cheat in khan my man, that's dishonored

The missing side is the opposite or the adjacent of the right triangle

The length of the missing side is 9.9

To calculate the length of the missing side, we make use of the following Pythagoras theorem.

16.5^2 = 13.2^2 +a^2

Evaluate the exponents

272.25 = 174.24 +a^2

Collect like terms

a^2 = 272.25 - 174.24

Evaluate the like terms

a^2 = 98.01

Take the square roots of both sides

a = 9.9

Hence, the length of the missing side is 9.9

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Answer:

[x] ≥ x

Step-by-step explanation:

use a calculator and the correct answer is 0.019134405

and then round off the that answer into 2 significant number

sin^-1(√3-1/2√2)

please give me answer

Step-by-step explanation:

See the solution for each part

1)

2)

3)

4)

5)

Now

Answer:

[tex]{x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 [/tex]

Step-by-step explanation:

This too follows the as same process as

recall binomial theorem,

[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

Given binomial:

comparing it to (a+b)ⁿ , we acquire:

Now substitute:

[tex] \displaystyle (x +8 {)}^{5} = \sum _{k = 0} ^{5} \binom{n}{k} {a}^{5- k} {b}^{k} [/tex]

To convert the summation into a sum, substitute the values from k=0 to k=5 into the expression which yields

[tex] \displaystyle (x + 8{)}^{5} = \binom{5}{0} {x}^{5 - 0} \cdot {8}^{0} + \binom{5}{1} {x}^{5 - 1} \cdot {8}^{1} + \binom{5}{2} {x}^{5 - 2} \cdot {8}^{2} + \binom{5}{3} {x}^{5 - 3} \cdot {8}^{3} + \binom{5}{4} {x}^{5- 4} \cdot {8}^{4} + \binom{5}{5} {x}^{5 - 5} \cdot {8}^{5} \\ \implies(x + 8 {)}^{5} = \binom{5}{0} {x}^{5} \cdot 1 + \binom{5}{1} {x}^{4} \cdot {8} + \binom{5}{2} {x}^{3} \cdot 64+ \binom{5}{3} {x}^{2} \cdot 512 + \binom{6}{4} {x}^{1} \cdot 4096+ \binom{5}{5} {x}^{0} \cdot 32768\\ \implies(x + 8{)}^{5} = 1 \cdot {x}^{5 } \cdot 1 + 5\cdot{x}^{4} \cdot {8} + 10 \cdot {x}^{3} \cdot 64+ 10 \cdot {x}^{2} \cdot 512 + 5 \cdot{x}^{1} \cdot 4096+ 1 \cdot {x}^{0} \cdot 32768 \\ \implies \boxed{ (x + 8 {)}^{5} = {x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 }[/tex]

and we're done!

Answer:

16.2

Step-by-step explanation:

calculator :0

Answer:

volume = x(x + 2)(x - 1)

soil = 30 ft³

Step-by-step explanation:

volume of a cuboid = width x length x height

Substituting given values into the equation:

⇒ volume = x(x + 2)(x - 1)

If width = 3ft, then x = 3:

⇒ volume = 3(3 + 2)(3 - 1)

                 = 3(5)(2)

                 = 30 ft³

Answer:

ab and ac are congruent with each other

Answer:

BC > AC

Step-by-step explanation:

∠A > ∠B (Given)

Side opposite to larger angle is larger and side opposite to smaller angle is smaller.

->AC < BC

or

BC > AC

Answer:

ans is 24000

Step-by-step explanation:

frist convert 12 into mins

/ it with 45

now multiple it with 1500

now ans 24000

(Assuming it works at a constant rate)

45 minutes = 3/4 of an hour

If it works for 12 hours, it works for 12 : 3/4 = 16 times more than 45 minutes.

Since it works at a constant rate, it must also print 16 times more paper than in 45 minutes.

So, in 12 hours, the machine print 1500 x 16 = 24000 (papers)

Answer:

Here is the answer

Step-by-step explanation:

Interest=$580 x 6.5%

=580 x 6.5/100

=$37.70

$37.70= 37dollars and 70 cents

Step-by-step explanation:

60° + 80° + y = 180° ( being straight angle )

140° + y = 180°

y = 180° - 140°

y = 40°

24

Explanation:

R = D + 12 (1)

D = B + 6 (2)

R = 2*B (3)

Put (3) into (1): 2*B = D + 12 (4)

Rewrite (2) as B = D - 6 and put this into (4): 2*(D - 6) = D + 12

So: 2D - 12 = D + 12

Subtract D from both sides and add 12 to both sides to get: D = 24

(not suree)