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Elanso [62]
2 years ago
9

Tan20+tan40+tan60.......+tan180=?

Mathematics
1 answer:
Leno4ka [110]2 years ago
5 0
The answer is 0. 
assuming by the dots that it includes tan80 +tan100 +tan120 +tan140 +tan160 in the equation. 
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Mark and Bonnie both make $11 per hour working for their parents. If they combine their efforts and work for the same amount of
Mademuasel [1]
To answer this we would need the expressions given.
5 0
2 years ago
Jesse made 312 mini energy bars she put 24 bars in each bag she plans to sell each bag for $6
lukranit [14]

Answer:

There will be 13 such bags and Jesse will earn $ 78 by selling the energy bars.

Step-by-step explanation:

Jesse made 312 mini energy bars. She put 24 bars in each bag. So, there will be, \frac {312}{24} = 13 such bags.

She plans to sell  each bag for $6, so she will earn

$ (13 \times 6)

= $ 78 by selling the energy bars.

8 0
1 year ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is
stealth61 [152]

Answer:

We accetp  H₀

Step-by-step explanation:

Information:

Normal distribution  

Population mean      =   μ₀  = 449

Population standard deviation  σ   unknown

Sample size   n  =  23        n < 30    we use t-student test

so   n  =  23    degree of fredom   df = n  - 1  df  = 23- 1   df = 22

Sample mean    μ =  448

Sample standard deviation   s  =  20

Significance level  α  =  0,05  

1.-Hypothesis Test

Null hypothesis                               H₀     μ₀  =  449

Alternative hypothesis                    Hₐ     μ₀  ≠  449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to  get an statistic parameter wich implies  that μ is bigger or smaller than μ₀

2.-Significance level   α  =  0,05  ;  as we have a two tail test

α/2    =  0,025

Then from t - student table for  df =  22   and 0,025 (two tail-test)

t(c)  =  ±  2.074

3.- Compute  t(s)

t(s)   =  (  μ  -  μ₀ )  /  s /√n

plugging in values

t(s)   =  (448  -  449) /  20 /√23    ⇒   t(s)   =  -  1*√23 /20

t(s)   =  - 0.2398

4.-Compare t(c)   and  t(s)

t(s)  <  t(c)         - 0.2398  <  - 2.074

Therefore  t(s)  in inside acceptance region.  We accept  H₀

7 0
2 years ago
What's 3/4 times 7/9 in simplest form
Alexxandr [17]
3/4 times 7/9:

First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.
\frac{3 \times 7}{4 \times 9}

Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36). 
\frac{21}{36}

Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF). 

Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor. 

Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3. 

21 \div 3 = 7 \\ 36 \div 3 = 12

Our new fraction in its simplest form is 7/12.

Answer in fraction form: \fbox {7/12}
Answer in decimal form: \fbox {0.5833}
7 0
2 years ago
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Kaylee has 16 pairs of flip-flops in her closet. She discovers that she has 1 red, 3 blue, 2 brown, 5 black, 1 purple, and 4 pai
Natalija [7]

Answer:3/16 and 4/16

Step-by-step explanation:

4 0
1 year ago
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