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3 years ago

12

What is the solution to the equation 4x= 48? Ox=12 OX= 10 O x= 44 Ox=8

2 answers:

Ray Of Light [21]3 years ago

8 0

Answer:

12

Step-by-step explanation:

hope this helps (:

svetoff [14.1K]3 years ago

6 0

Answer:

12

Step-by-step explanation:

48/4=12 x=12

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Mr. Smith had 34 of a peach pie left over. He split the leftover pie among his 3 co-workers.

viktelen [127]

Answer:

11.333 infinity

Step-by-step explanation:

when you divide 34 by 3 you then get 11.3 infinity which would also be a repeating decimal

8 0

3 years ago

The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that

Minchanka [31]

Answer:

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Step-by-step explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560 (nearest integer)

7 0

3 years ago

Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro

Ugo [173]

Answer:

$Side\ B = 6.0$

$\alpha = 56.3$

$\theta = 93.7$

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with $\alpha, \beta, \theta$

[See Attachment for Triangle]

$A = 10cm$

$C = 12cm$

$\beta = 30$

What the question is to calculate the third length (Side B) and the other 2 angles ( $\alpha\ and\ \theta$ )

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

$B^2 = A^2 + C^2 - 2ABCos\beta$

Substitute: $A = 10$ , $C =12$ ; $\beta = 30$

$B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30$

$B^2 = 100 + 144 - 240*0.86602540378$

$B^2 = 100 + 144 - 207.846096907$

$B^2 = 36.153903093$

Take Square root of both sides

$\sqrt{B^2} = \sqrt{36.153903093}$

$B = \sqrt{36.153903093}$

$B = 6.0128115797$

$B = 6.0$ <em>(Approximated)</em>

Calculating Angle $\alpha$

$A^2 = B^2 + C^2 - 2BCCos\alpha$

Substitute: $A = 10$ , $C =12$ ; $B = 6$

$10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha$

$100 = 36 + 144 - 144 *Cos\alpha$

$100 = 36 + 144 - 144 *Cos\alpha$

$100 = 180 - 144 *Cos\alpha$

Subtract 180 from both sides

$100 - 180 = 180 - 180 - 144 *Cos\alpha$

$-80 = - 144 *Cos\alpha$

Divide both sides by -144

$\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}$

$\frac{-80}{-144} = Cos\alpha$

$0.5555556 = Cos\alpha$

Take arccos of both sides

$Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)$

$Cos^{-1}(0.5555556) = \alpha$

$56.25098078 = \alpha$

$\alpha = 56.3$ <em>(Approximated)</em>

Calculating $\theta$

Sum of angles in a triangle = 180

Hence;

$\alpha + \beta + \theta = 180$

$30 + 56.3 + \theta = 180$

$86.3 + \theta = 180$

Make $\theta$ the subject of formula

$\theta = 180 - 86.3$

$\theta = 93.7$

5 0

3 years ago

Fred works as an

OLEGan [10]

Step-by-step explanation:

so he already down 20 ft so he ascends (goes up) 9 feet, so hes at 11 feet right now. then he descends 12 (goes down) feet so hes at 23 feet. lastly he ascends 15 feet (goes up) more. so the answer is 8

7 0

3 years ago

Marcus has a square shaped garden that has an area of 4(x^2-y^2) square feet. If the garden has four equal sections, what is the

SpyIntel [72]

Answer:

x^2-y^2

Step-by-step explanation:

took a quiz and got it right

8 0

2 years ago