Simplify:

0.007 km : 0.021 km : 14 m

Answer:

120.4ft

Step-by-step explanation:

Find the diagram in the attachment.

The triangle shown is a right angled triangle with the side DE as the hypotenuse, EF is adjacent side while DF is the opposite side.

To get DE, we will use the SOH CAH TOA trigonometry identity

Using CAH which is defined as:

Cos(theta) = Adjacent/Hypotenuse

Cos 79°= 23/Hypotenuse

Hypotenuse = 23/cos79°

Hypotenuse = 23/0.191

Hypotenuse = 120.4feet

DE = 120.4feet (to nearest tenth)

Answer:

Step-by-step explanation:

The triangle DEF is right angle triangle

The missing  F

F=90 E=79 = 11

E=79 EF= 23

Find the Length of DE to the nearest tenth of a foot

Answer:

He can process 210 words in 3 minutes

Answer:

y=0.6x-3.2

Step-by-step explanation:

Answer:

( k + 10 ) ( k + 10 )

Step-by-step explanation:

k² + 20k + 100

( k + 10 ) ( k + 10 )

( k + 10 )²

k = -10

Can I get brainliest.

Answer:

  3/8

Step-by-step explanation:

In terms of powers of 4, we have ...

  (4^-1)^(3z -1) = (4^2)^(z+2)×(4^3)^(z-2)

Taking logarithms base 4*, we have ...

  -(3z -1) = 2(z +2) +3(z -2)

  -3z +1 = 5z -2 . . . . simplify

  3 = 8z . . . . . . . . . . add 3z+2

  z = 3/8 . . . . . . . . . .divide by 8

_____

* This is equivalent to equating exponents of the same base. You're making use of the rules of exponents ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  1/a = a^-1

and the logarithm relations ...

  logb(b^x) = x

  log(xy) = log(x) +log(y)

Answers and Step-by-step explanations

13. Square both sides: x^2 + 4x + 4 = 16(x - 2) = 16x - 32

Move all the terms to one side: x^2 - 12x + 36 = 0

Factorize: (x - 6)^2 = 0  ⇒  x = 6

14. Move one of the roots to one side: [tex]-\sqrt{2x-1} =\sqrt{3x-12}[/tex]

Square both sides: 2x - 1 = 3x - 12

Solve for x: x = 11

15. Subtract 4 from both sides: x - 4 = [tex]2\sqrt{x-4}[/tex]

Square both sides: x^2 - 8x + 16 = 4(x - 4) = 4x - 16

Move all the terms to one side: x^2 - 12x + 32 = 0

Factorize: (x - 4)(x - 8) = 0  ⇒  x = 4 or x = 8

16. Square both sides: x^2 - 4x + 4 = 9x - 36

Move all the terms to one side: x^2 - 13x + 40 = 0

Factorize: (x - 5)(x - 8) = 0  ⇒  x = 5 or x = 8

Hope this helps!

Answer:

13. x = 6

14. No real solutions

15. x = 4, 8

16. x = 5, 8

Step-by-step explanation:

13. Square both sides

(x + 2)² = 4²(x - 2)

x² + 4x + 4 = 16x - 32

x² - 12x + 36 = 0

x² - 6x - 6x + 36 = 0

x(x - 6) - 6(x - 6) = 0

(x - 6)(x - 6) = 0

x = 6

14. sqrt(2x - 1) = -sqrt(3x - 12)

No real solutions because a positive square root can not be equal to a negative square root

15. x - 4 = 2sqrt(x - 4)

(x - 4)² = 4(x - 4)

(x - 4)² - 4(x - 4) = 0

(x - 4)(x - 4 - 4) = 0

(x - 4)(x - 8) = 0

x = 4, 8

16. x - 2 = sqrt(9x - 36)

(x - 2)² = (9x - 36)

x² - 4x + 4 - 9x + 36 = 0

x² - 13x + 40 = 0

x² - 5x - 8x + 40 = 0

x(x - 5) - 8(x - 5) = 0

(x - 8)(x - 5) = 0

x = 5, 8

Answer:

John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).

The actual unit rate for his trip is v;

v = 70 miles ÷ 2 hours

v = 35 miles per hour

v = 35mph

Step-by-step explanation:

Given;

John travels 70 miles in 2 hours

John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).

The actual unit rate for his trip is;

v = 70 miles ÷ 2 hours

v = 35 miles per hour

v = 35mph

Answer:

A≈54300

Step-by-step explanation:

To calculate the final amount in the bank account, we can use the formula A = P(e(rt)), where A is the final amount, P is the principal amount, e is the base of natural logarithms, r is the interest rate, and t is the time in years. In this case, Lucy invested $30,000 at an interest rate of 6.6% compounded continuously for 9 years. By substituting these values into the formula and evaluating the expression, the final amount in the account after 9 years is approximately $53,509.79.

To calculate the final amount in the bank account, we can use the formula: A = P(e(rt)), where A is the final amount, P is the principal amount, e is the base of natural logarithms, r is the interest rate, and t is the time in years. In this case, Lucy invested $30,000 at an interest rate of 6.6% compounded continuously for 9 years.

First, we need to convert the interest rate to a decimal by dividing it by 100: 6.6% = 0.066. Then, we can substitute the values into the formula: A = 30000(e0.066*9)). Using a calculator, we can evaluate this expression to get the final amount, which is approximately $53,509.79.

Look at the attached picture⤴

Hope it will help u...

Answer:

k=7

Step-by-step explanation:

To solve, we need to isolate the variable: k

k +22 =29

Subtract 22 from both sides to "reverse" the addition

k+22=29

 -22  -22

k=7

Answer:

x = 11

Step-by-step explanation:

sqrt (2x - 5) = sqrt (x + 6)

Square both sides

2x - 5 = x + 6

x = 11

Verify:

sqrt[2(11) - 5] = sqrt(11 + 6)

sqrt(17) = sqrt(17)

Answer:

x = 11

Step-by-step explanation:

√2x-5 - √x+6 = 0

√2x-5 = √x+6

(√2x-5)² = (√x+6)²

2x - 5 = x + 6

2x - x = 6 + 5

x = 11

Answer:

The answers are (1,1) and (2,2) or C and E

Step-by-step explanation:

Just did it on edge 2021

The ordered pairs are (1,1) and (2, 2).

In arithmetic, an ordered pair is a pair of gadgets. The order in which the items appear in the pair is good-sized: the ordered pair is different from the ordered pair except for a = b. Ordered pairs also are known as 2-tuples, or sequences of period 2.

An ordered pair is a pair of numbers in a specific order. for instance, (1, 2) and (- 4, 12) are ordered pairs. The order of the two numbers is crucial: (1, 2) isn't equal to (2, 1) -- (1, 2)≠(2, 1)

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Answer:

A. Tina + 2 = Tony

Step-by-step explanation:

You're only adding 2 since Tina's brother is 2 years older than her.

Answer:

A: Tina +2 = Tony

Step-by-step explanation:

Since TINA is 2 years OLDER than TONY. You need to add 2 to Tina's age to get Tonys'

Answer:

10cm

Step-by-step explanation:

If you are asking what is the length of each side?

The answer is simple first divide the total perimeter by the number of sides.(ONLY FOR A SQUARE) then you get your length.

Answer:

C negitive pi

Step-by-step explanation:

Have a great day!

The irrational number can be added to Pi to get a sum that is rational is negative pi.

We have given that StartFraction 1 Over pi EndFraction

Negative StartFraction 1 Over pi EndFraction

Negative pi

Pi

We have to determine the irrational number that can be added to Pi to get a sum that is rational.

The irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

Therefore the irrational number can be added to Pi to get a sum that is rational is negative pi.

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Answer:

135%

Step-by-step explanation:

we know that

One serving size equals 1/2 cup. Each serving has 30% of the recommended daily amount of vitamin C.

step 1

Using proportion

Find out the number of servings if Adriana drank 2 1/4 cups of juice

so

[tex]\frac{1}{\frac{1}{2}}=\frac{x}{2\frac{1}{4}}[/tex]

Convert mixed number to an improper fraction

[tex]2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}[/tex]

substitute in the proportion

[tex]\frac{1}{\frac{1}{2}}=\frac{x}{\frac{9}{4}}\\\\x=\frac{(9/4)}{(1/2)}\\\\x=4.5\ servings[/tex]

step 2

we know that

Each serving has 30% of the recommended daily amount of vitamin C.

so

Multiply the number of servings by 30%

[tex]4.5(30\%)=135\%[/tex]

Answer

5

Step-by-step explanation:

Answer: It is a 50% chance to get more tails than heads

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

We need to isolate the variable:

-2c + 6 = -8

-2c + 6 - 6 = -8 - 6

-2c = -14

-2c/-2 = -14/-2

c = 7

Thus, c = 7.

Hope this helps!

Method:

-2c+6=-8

     -6  -6

-2c=-14

/-2   /-2

c=7

Answer:

width= 25 inches

length= 34 inches

Step-by-step explanation:

width x length = 850 in²

w x (9+ w ) = 850 in²

9w+ w²=850 in²

9w + w²-850 =0

solve for w using quadratic formula

w= {-9 ±√(9)²-4(1)(-850)} ÷2(1)

w= 25; -34

The width is 25 because measurements can't be negative.

width= 25

length= 25+9=34

Answer:

Alexa did about 339.41 foot-pound of work in moving the barrel up the ramp.

Step-by-step explanation:

Work done is defined as the dot product of Force and displacement i.e.

W = F.d

Expanding the dot product, we get:

W = Fd cos(Ф)

Here,

W is the amount of work done, F is the Force applied, d is the displacement and Ф is the angle made by Force F with the horizontal. If we observe the given statement we can clearly see that:

Force applied = F = 120 pounds

Displacement = d = 4 feet

Angle of F with horizontal = Ф = 45 degrees

Substituting the values in the formula we get:

W = 120 x 4 x cos(45)

W = 339.41 foot-pound

This means, Alexa did about 339.41 foot-pound of work in moving the barrel up the ramp.

Final answer:

Alexa is doing approximately 339.33 pounds-feet of work to push the construction barrel up a 4-foot ramp at a 45-degree angle, calculated using the cosine of the angle to find the component of the force parallel to the direction of motion.

Explanation:

To calculate the work done by Alexa, we need to consider the component of the force she exerts that is parallel to the direction of motion up the ramp. Since the force exerted is in the horizontal direction and the ramp is at a 45-degree angle to the horizontal, we use the cosine of the angle to find this component. The formula for work is:

Work = Force × Distance × cos(θ)

Where the force is 120 pounds, the distance is 4 feet, and θ (theta) is the angle of the ramp, which is 45 degrees.

The component of the force parallel to the ramp is 120 pounds × cos(45°) = 120 pounds × 0.7071 (since the cosine of 45 degrees is √2/2, which approximately equals 0.7071).

The work performed by Alexa is:

Work = 120 pounds × 0.7071 × 4 feet × = 339.325 pounds-feet

Alexa is doing approximately 339.33 pounds-feet of work to push the construction barrel up the ramp.

Answer:

44.24

Step-by-step explanation:

Khan academy

Answer:

Step-by-step explanation:

Answer: 165.6

Step-by-step explanation:

The formula for finding the interior angle of a polygon is

= (2n - 4) x right angle

= (2n - 4)90 ,or

(n - 2)180

Now since the sum total of the interior angle of the 25 sided regular polygon = 4140 using the formula above,

Therefore, the value of each of the interior angle will be

= 4140/25

= 165.6

Final answer:

Each interior angle of a regular 25-sided polygon, with sum of the interior angles at 4140 degrees, measures 165.6 degrees.

Explanation:

The sum of the measures of a regular 25-sided polygon is 4140 degrees. To find the measure of each interior angle of a regular polygon, we use the formula:

(n - 2) × 180° = Sum of interior angles,

where n is the number of sides in the polygon. Since we are given that the sum of the interior angles is 4140 degrees for a 25-sided polygon, we can plug in the values into our formula:

(25 - 2) × 180° = 4140 degrees,

which simplifies to:

23 × 180° = 4140 degrees.

This confirms the given sum of the interior angles. To find the measure of one interior angle, we divide the sum by the number of angles:

4140 degrees ÷ 25 = 165.6 degrees.

So the measure of each interior angle in a regular 25-sided polygon is 165.6 degrees.

Relation (A) and polynomial (D) y = -4x² + 45x + 9 are functions rest are not function.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

In option (A) ;

For every single unique input, there is single unique output so it will function.

In option (B) ;

Here for x = 0,2 and y = 5 so it means for two inputs one output so it will not be a function.

In option (C) ;

For x = 0 , y = 2 , 4 so two output for one input it means it is also not a function.

In option (D) ;

y = -4x² + 45x 9 it gives one input for one output.

Hence "Relation (A) and polynomial (D) y = -4x² + 45x + 9 are functions rest are not function".

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Given question is incomplete so image has been attached

Answer: QP and SR on ed

Step-by-step explanation:

The chords in the circle that are congruent are PQ and SR.

Circle is the locus of a point such that its distance from a fixed point known as the center is constant.

Given from the diagram that:

∠PTQ = ∠STR (Vertical opposite angles are congruent)

Hence:

PQ = SR

The chords in the circle that are congruent are PQ and SR.

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Answer:

n=20,−8

Step-by-step explanation:

Answer:

4:30

:'?<>>{}_-(*>>>....,,::"{}}||\

Answer:

D

Step-by-step explanation:

it's In the picture

please like and Mark as brainliest

Answer:

Volume of the cylinder = D) 113.04 cubic cm

Step-by-step explanation:

[tex] \boxed{ \bold{formula = \pi \: {r}^{2} \: h }}[/tex]

= 3.14 × 2 × 2 × 9

= 3.14 × 36

= 113.04 cm³

Answer:

15:10 or 3:2

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

15:10

=3:2

Answer:

The probability that the sum of the numbers rolled will equal 4 is [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Total possible outcome is 36

The sample space for the dice is shown below

[tex]\left[\begin{array}{cccccc}1,1&1,2&1,3&1,4&1, 5&1,6\\2,1&2,2&2,3&2,4&2, 5&2,6\\3,1&3,2&3,3&3,4&3, 5&3,6\\4,1&4,2&4,3&4,4&4, 5&4,6\\5,1&5,2&5,3&5,4&5, 5&5,6\\6,1&6,2&6,3&6,4&6, 5&6,6\end{array}\right][/tex]

From the above sample, the event of sum equals 4 is:

(1, 3)

(2, 2)

(3, 1)

Number of outcome with sum equals 4 is 3

[tex]Probability = \frac{number of possible outcome}{number of total outcome} \\Probability = \frac{3}{36} = \frac{1}{12}[/tex]

The probability that the sum of the numbers rolled will equal 4 is [tex]\frac{1}{12}[/tex]

Answer:

0.3333

Step-by-step explanation:

Out of 6x6 = 36 different scenarios that could happen when rolling the 2 cubes, there are 3 cases where the sum of the numbers rolled will equal 4:

(1,3) (3,1) and (2,2)

So the probability for these 3 cases to happen out of 36 is

[tex]\frac{3}{36} = \frac{1}{3}[/tex] or 0.3333

Answer:

63

Step-by-step explanation:

please mark branliest answer

Answer:

63

Step-by-step explanation: