lions spend about 5/6 of their day sleeping. how many hours a day does a lion sleep? write an equation to model your work

Answer:

sin; 7.7

Step-by-step explanation:

✔️Reference angle = 50°

Length of side opposite to reference angle = b

Hypotenuse = 10

✅The trigonometric function to use is sin

✔️To find b (opp), we would use:

Sin 50 = opp/hyp

Sin 50 = b/10

10 × sin 50 = b

b = 7.66044443 ≈ 7.7 (nearest tenth)

Answer: D, C, A

Step-by-step explanation:

An exterior angle is an angle that is supplementary to an interior angle.

The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.

Exterior angles become by a side of that figure and its extended adjacent side.

The exterior angle has been attached.

Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.

Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.

For more information about Exterior angle

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Answer:

28

Step-by-step explanation:

Answer:

90°grados es la respuesta

Answer: A

Step-by-step explanation:

Answer:5

Step-by-step explanation:I got it wrong and decided to give you guys the right answer.

Answer:

x=99

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.

Answer:

L = 5[tex]\sqrt{10}[/tex]

Step-by-step explanation:

use Pythagorean Theorem:

L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²

L² + 25(2) = 100(3)

L² + 50 = 300

L² = 250

L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]

Answer:

by Pythagoras law

(10√3)²=l²+(5√2)²

100×3-25×2=l²

l²=25o

l=√250=5√10

:.l=5√10

Answer:

If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

Step-by-step explanation:

Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:

Month          Machine Hours          Electricity Costs

January              2,000                           $18,950

February            2,400                           $22,100

March                 1,400                            $14,050

April                   2,600                            $24,100

May                    3,300                            $28,800

June                   2,800                           $23,100

July                    3,600                            $25,300

August               3,000                            $23,300

September         1,500                             $16,600

October             3,200                             $27,100

November         4,200                             $32,100

December         3,700                             $28,300

The explanation of the answer is now provided as follows:

Step 1: Calculation of variable cost per hour

From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:

Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857

Rounding to 2 decimal places as required, we have:

Variable cost per hour = $6.45

Therefore, the variable-cost components using the high-low method is $6.45.

Step 2: Calculation of total fixed cost

The formula for calculating the total cost is given as follows:

Total cost = Total Fixed Cost + Total Variable Cost ................. (1)

Where;

Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs

Using highest levels of activity and substitute into equation (1), we have:

$32,100 = Total Fixed Cost + ($6.45 * 4,200)

Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010

Therefore, the fixed-cost components using the high-low method is $5,010.

Step 3: Derivation of the cost equation for electricity costs

The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:

Total Fixed Cost = $5,010

Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours

Substituting the values into equation (1), we have:

Total cost = $5,010 + ($6.45 * Machine hours)

Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

Step-by-step explanation:

x+9-10=500

x-1=500

x=500+1=501

Step-by-step explanation:

solution

here,

given,

x+9-10= 500

or, x-1= 500

or, x= 500-1

or, x= 499

hope this helps u...

Answer:

32.13

Step-by-step explanation:

g = 15.3 x 2.1 = 32.13

Answer:

g= 15.3 *2.1= 32.13

Hence answer is 32.13

Answer:

????

Step-by-step explanation:

Answer:

4.2 ft

Step-by-step explanation:

Reference angle = 77°

Opposite side = DE = x

Hypotenuse = CD = 4.3 ft

Apply the trigonometric function of sine. Thus:

Sin 77 = opp/hyp

Sin 77 = x/4.3

Multiply both sides by 4.3

4.3 × sin 77 = x

x = 4.2 ft (nearest tenth)

Answer:

t = 5/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

3t + 7 = 2 + 5t

Step 2: Solve for t

Answer:

Explanation:

3t + 7 = 2 + 5t

3t + 7 = 5t + 2

3t + 7 − 5t = 5t + 2 − 5t

−2t + 7 = 2

−2t + 7 − 7 = 2 − 7

−2t = −5

Divide both sides by -2

−2t / -2 = −5 / -2

t = ⁵⁄₂

t = 2.5

t = ⁵⁄₂ or 2.5

Answer:

.40 cents each.

Step-by-step explanation:

$3.20/8=.40

Answer:

3 boxes?

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1:23 :: x :69              (x = 69/ 23 )

1:23::2:69

Answer:

yes it is

Step-by-step explanation:

Yes the solution to p/9 = 7 is 63.

Answer:

2x²-24x+54

2(x²-12x+27)

2(x²-9x-3x+27)

2(x(x-9)-3(x-9))

2(x-9)(x-3)

Answer:

7 units

Step-by-step explanation:

Answer:

0.020

Step-by-step explanation:

Given that,

μ = 17,

σ = 0.7,

x¯ = 16.7 hours

n(number of batteries) = 30

To find,

The probability(e) by using μ\frac{σ}{[tex]\sqrt{n}[/tex]} = normal cdf

∵ (E - 99, 16.7 , 17, 0.8/[tex]\sqrt{30}[/tex])

The probability of getting a random sample of 30 batteries = 0.020

Hence, the claim is reasonable as only 2% of batteries are likely to last till 16.7 hours.

Answer:

ummmmmmm okkkkkkkkkkk

Step-by-step explanation:

dddddddddddddddddddddddddddddd

Answer:

z = 5

Step-by-step explanation:

Answer:

25°; 115°.

Step-by-step explanation:

all the details are in the attached picture, the answers is marked with red colour.

Answer:

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

Coordinates of B → (12, 12)

If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

If k = [tex]\frac{2}{3}[/tex]

(x, y) → [tex](\frac{2}{3}x, \frac{2}{3}y)[/tex]

By this rule coordinates of the image points of A and B will be,

A(8, 6) → [tex]A'(\frac{2\times 8}{3},\frac{2\times 6}{3})[/tex]

           → A'(5.3, 4)

B(12, 12) → [tex]B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})[/tex]

             → B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of [tex]\frac{2}{3}[/tex].

Answer:

4 2/5 x 5 1/2 = 24.2

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!

Answer:

64.2

Step-by-step explanation:

Use tan to find the measure of x.

tan = 0pposite/adjacent

opposite = 29

adjacent = 14

so:

[tex]tan(x)=29/14\\x = tan^{-1} (29/14)\\x = 64.2[/tex]

Answer:

x = 64.2°

Step-by-step explanation:

tan x° = 29/14

14 · tan x° = 29

tan x° = 29/14

arctan(x) = 64.2°

Answer:

false 5 is an odd

Answer:

Step-by-step explanation:

false