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3 years ago

10. Given a = 7, b = 6, and c = 10, use the Law of Cosines to solve for A. Round your answer to the nearest degree.

Mathematics

1 answer:

tia_tia [17]3 years ago

6 0

Answer:

10) 44° (nearest degree)

11) 136.6 units² (nearest tenth)

12) 47.8 units² (nearest tenth)

Step-by-step explanation:

Please see the attached pictures for the full solution.

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One solution of the quadratic equation X2 – 19x + 48 = 0 is 3. What is the other solution?

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Answer:

Step-by-step explanation:

The equation is X2 – 19x + 48 = 0

Using the quadratic formula

X= - b +- √ ( b^2 - 4ac)/ 2a

Where a= 1 b= -19 c= 48

Substitute into the formula we have

CHECK THE ATTACHMENT

HENCE, the solution are 3 and 16

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Solve the inequality 7(x - 2) < -5.

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Carlos walk to school on the 14th of 20 days in February which value is equivalent to the fraction of school days in February th

Lady bird [3.3K]

Answer:

$\dfrac{7}{10}$

Step-by-step explanation:

Given that,

Carlos walk to school on the 14th of 20 days in February.

We need to find the equivalent to the fraction of school days in February that Carlos walk to school.

Required percentage is given by :

$\%=\dfrac{14}{20}\times 100\\\\=14\times 5\\\\=70\%$

$=\dfrac{7}{10}$

So, the required fraction is equal to $\dfrac{7}{10}$ .

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2 years ago

A candy company claims that its jelly bean mix contains 15% blue jelly beans. Suppose that the candies are packaged at random in

I am Lyosha [343]

Answer:

Doubtful.

Step-by-step explanation:

Our values are,

$P=0.15 \rightarrow 15\%$ Jelly Bean Mix.

The sample for us is n=200

And our proportion (x) is 40 .

We can calculate with this dates the sample proportion and make he test statistic.

$p=\frac{x}{n} = \frac{40}{200} = 0.20$

$H_0:P=0.15$

$H_1:P \neq 0.15$

We use the formula for Test statistic, that is given by,

$z= \frac{p-P}{\sqrt{\frac{P-(1-P)}{n}}}$

$z= \frac{0.20-0.15}{\sqrt{\frac{0.15(1-0.15)}{200}}}$

$z= 1.98$

We see that our P-value: 0.048 (From the Table)

We note that p-value is less than 0.05, so we should to rejecyt the null hypothesis and conclude that the calim is doubtful

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3 years ago