An angle measures 60° less than the measure of its complementary angle. What is the measure of each angle?

Answer:

Step-by-step explanation:

Let Eva's height be x

62* 0.5 = x + 1.5

31 = x + 1.5                   Subtract 1.5 from both sides.

31 - 1.5 = x

x = 29.5

Eva is 29.5 inches tall.

Answer:

29.5

Step-by-step explanation: I took the test

Answer:

180 - (55+48) =77

180 -77 =103

Answer:

  (c) 12 pounds

Step-by-step explanation:

The cost of production is given as ...

  3.5x +800 = 842

  3.5x = 42 . . . . . . . . subtract 800

  x = 12 . . . . . . . . . . . divide by 3.5

The number of pounds produced is 12.

Answer:

10

Step-by-step explanation:

-5 times -2= 10

Answer:

Select all options of x greater than or equal to 12

Step-by-step explanation:

2x + 7 <= 3x - 5

7 + 5 <= 3x - 2x

12 <= x

x >= 12

Answer:

$94105.81

Step-by-step explanation:

[tex]21000( ({1 + .0512675})^{30} - 1) \\ = 73105.81 \\ 73105.81 + 21000 = 94105.81[/tex]

Future value of the investment if the interest is compounded daily is $94,105.80.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

Given that,

Principal amount, P = $21,000

Rate of interest, r = 5% = 5/100 = 0.05

Time, t = 30 years

The final amount in a compound interest is,

A = P (1 + r/n)^(nt), where n is the number of times compounding is done in a year.

Here, n = 365

A = 21000 (1 + 0.05/365)^(365 × 30)

  = 94,105.802

  ≈ 94,105.80

Hence the final amount is $94,105.80.

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9514 1404 393

Answer:

  $62.22

Step-by-step explanation:

Let m represent the pre-tax, pre-tip price of the meal. Then the total cost is ...

  m + tax + tip

  = m + 7%·m +15%·m

  = m(1 +7% +15%) = 1.22m

  = 1.22($51) = $62.22

The total cost of the meal is $62.22.

Answer:

-25/96

Step-by-step explanation:

simplify the expression

Try this option:

1) q: What is the slope of the line and what does it mean in this situation?

a: the slope is 2.5 and it means 'ammount of the rain is 2.5 mm. per hour'.

2) the slope of the line is '2.5'

3) this means that '2.5' mm. of the rain falls every '1' hour.

9514 1404 393

Answer:

  y = 1/5x +8

Step-by-step explanation:

The slope of the perpendicular line will be the opposite reciprocal of the slope of the given line:

  m = -1/(-5) = 1/5

The y-intercept (b) can be found from this and the given point:

  b = y -mx

  b = 9 -(1/5)(5) = 8

Then the slope-intercept equation can be written ...

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = 1/5x +8

_____

Additional comment

Since the question asks for "an equation," the problem can be solved even more quickly using the point-slope form of the equation of a line.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -9 = 1/5(x -5) . . . . . an equation for line j

Answer:

ang answer mo po ay 345prism po

The area of the rectangular is represented by quadratic function is (x²-5x+25).

Cubic equations are polynomials of degree3.

That means, the maximum degree of polynomial is three.

And the standard form of cubic equation is;

f(x) = ax³ + bx² +cx +d, where a, b, c and d are constant coefficients and a ≠ 0.

Given:

The volume of a rectangular prism is equal to the area of the rectangular faces multiplied by the prism's height.

The volume = height x (the area of the rectangular)  ..... equation 1

The volume of a rectangular prism can be expressed as the following cubic function x³ + 125.

We can simplify the function,

x³ + 125,

= x³ + 5³

Here, we can use the formula,

x³+y³ = (x+y) (x²-xy+y²)

So,

x³ + 5³,

= (x+5) (x²-5x+25)

Comparing with the equation 1,

we get,

The height = (x+5) and the area of the rectangular = (x²-5x+25).

Therefore, (x²-5x+25) is the area of the rectangular.

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Answer:

I believe that B is true because the slope of y=5 is 0 so there isnt really a slope for it.

Step-by-step explanation:

Answer:

$0.55

Step-by-step explanation:

All you have to do is divide $14.30 by 26 and that equals 0.55 so he spent 55 cents on each sandwich

The exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m

To get the measure of the lengths of the other sides of the triangle, we need to get the third side first as shown:

Since the sum of the interior angle of a triangle is 180 degrees, hence;

30 + 45 + x = 180

75 + x = 180

x = 180 - 75

x = 105 degrees

Get the measure of the other sides using the sine rule;

1/sin 105 = x/sin 30 = y/sin 45

Get the measure of angle x

1/sin 105 = x/sin 30

x sin 105 = sin 30

x sin 105 = 0.5

x = 0.5/sin 105

x = 0.52m

1/sin 105 = x/sin 30 = y/sin 45

Get the measure of angle x

1/sin 105 = y/sin 45

y sin 105 = sin 45

x sin 105 = 0.0.7071

x = 0.7071/sin 105

x =  0.73m

Hence the exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m

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Answer:

Step-by-step explanation:

→ 4 + 5(3x - 2) - 3x

→ 4 + 15x - 10 - 3x

→ 12x - 6

therefore, option A is correct.

hope this answer helps you dear!

The required simplified solution of the given expression is 12x -6. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= 4 + 5(3x -2) - 3x
Following the distributive property,
= 4 + 15x - 10 - 3x
Following the associative property,
= 4 - 10 + 15x - 3x
= -6 + 12x
= 12x - 6

Thus, the required simplified solution of the given expression is 12x -6. Option A is correct.

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9514 1404 393

Answer:

  13 costumes

Step-by-step explanation:

The amount of fabric used is the product of the amount per costume and the number of costumes.

  A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume

  46 2/3 = n(3 1/2)

  n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3

Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.

Answer: Its 2 seconds

Step-by-step explanation:

I took the quiz

The object reach its maximum height at 2 seconds.

WE are the given curve shows the height of an object which has been launched from 50 foot high wall with respect to time.

So we can see that the curve initially starts from the height of 50 feet.

Here in the middle the height of the object is maximum and immediately after that the height decreased in the graph.

At that maximum height time from the graph we can find that the height of the object goes upto 106 feet.

We can see in the graph that it hits the ground when the height is equal to 106.

t = 2 seconds

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Answer:

x= 120-20y/9

Step-by-step explantion:

Answer:

19

Step-by-step explanation:

[tex]135/7=19.28[/tex]

Step-by-step explanation:

-5x - (-7.4x) = -2(3x + 4)

-5x + 28x = -6x - 8

(-5 + 28 + 6)x = -8

29x = -8

x = -8/29

Answer:0.27450980392

Step-by-step explanation: looked it up, trust

Given

2x³ + (x³ - 3) sin(2πy) - 3y = 0

we first notice that when x = ³√3, we get

2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0

2•3 + (3 - 3) sin(2πy) - 3y = 0

6 - 3y = 0

3y = 6

y = 2

Differentiating both sides with respect to x gives

6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0

Then when x = ³√3, we find

6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0

6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0

6•³√9 + 0 + 0 - 3y' = 0

3y' = 6•³√9

y' = 2•³√9

(that is, 2 times the cube root of 9)

Answer:

20 oranges

Step-by-step explanation:

40:18 / 2 = 20:9

Answer:

Rachel will need 12 boxes to pack up their books.

Step-by-step explanation:

320 - 45 = 275

275 divided by 23 = 11.95

round to 12

9514 1404 393

Answer:

  f^-1(x) = ∛((x +5)/2)

Step-by-step explanation:

Continue to solve for y.

  [tex]x +5=2y^3\qquad\text{so far so good}\\\\\dfrac{x+5}{2}=y^3\qquad\text{divide by 2}\\\\\sqrt[3]{\dfrac{x+5}{2}}=y\qquad\text{take the cube root}\\\\\boxed{f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}}\qquad\text{expressed in functional form}[/tex]

If you want to "rationalize the denominator", you can multiply both numerator and denominator by 4 inside the radical. This will simplify to ...

  [tex]\displaystyle\boxed{f^{-1}(x)=\frac{1}{2}\sqrt[3]{4x+20}}[/tex]

[tex]\\ \rm\Rrightarrow y=2x^3-5[/tex]

[tex]\\ \rm\Rrightarrow x=2y^3-5[/tex]

[tex]\\ \rm\Rrightarrow 2y^3=x+5[/tex]

[tex]\\ \rm\Rrightarrow y^3=\dfrac{x+5}{2}[/tex]

[tex]\\ \rm\Rrightarrow y=\sqrt[3]{\dfrac{x+5}{2}}[/tex]

[tex]\\ \rm\Rrightarrow f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}[/tex]