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MrMuchimi
2 years ago
15

I need help plz answer!!!

Mathematics
2 answers:
Ainat [17]2 years ago
7 0

Answer:

No.

Step-by-step explanation:

natka813 [3]2 years ago
6 0

Answer:

No

Step-by-step explanation:

If you graph the equations, then you see that (3,8) is not the solution.

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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
The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?
Vlad [161]

Answer:

192 markers

Step-by-step explanation:

if 8 = 4% then 2=1%

so we can assume there are 200markers in the package.

8-200= 192 markers

6 0
3 years ago
The fountain in the pond at the public park near Kevin’s house has a pump that recirculates 75 gallons of water in 1/4 of an hou
il63 [147K]

Answer:

300 gallons an hour

Step-by-step explanation:

If it pumps 75 gallons in 1/4 of an hour (15 minutes), then if you times that by four to make it a full hour (60 minutes). 75 times 4 is 300.

7 0
3 years ago
A pet store employee counts 23 heads and 68 feet on the animals in the store. The store currently only has kittens and parakeets
Aloiza [94]

Answer:

11 kittens and 12 parakeets

Step-by-step explanation:

each kitten has 4 feet while each parakeet has 2

11 x 4 = 44 (kittens)

12 x 2 = 24 (parakeets)

11 + 12 is 23 which is your 23 heads.

44 + 24 is 68 which would be your feet

4 0
2 years ago
3xxyyy using exponents
olasank [31]
Just count the amount of each letter and write it as a exponent = 3x²y³
5 0
3 years ago
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