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katrin2010 [14]
3 years ago
15

What is the area of the rectangle

Mathematics
2 answers:
aliya0001 [1]3 years ago
3 0
a^4+2a+8 because if you combine like terms that is what you get
PSYCHO15rus [73]3 years ago
3 0
The answer is A^4+2a^3+8a^2+15
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The length of a parallelogram exceeds its breadth by 30 cm. If the perimeter of the parallelogram is 2 m 60 cm, find the length
Nuetrik [128]

\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}

\longrightarrow \sf{2(1 + b) = 260}

\longrightarrow \sf{2(x+30+x) = 260}

\longrightarrow \sf{ 2x+30 = \dfrac{260}{20} }

\longrightarrow \sf{2x + 30 =130}

\longrightarrow \sf{2x = 130 - 30}

\longrightarrow \sf{2x = 100}

\longrightarrow \sf{x=  \dfrac{100}{2} }

• \longrightarrow \sf{b= \underline{50cm}}

\longrightarrow \sf{= x + 30}

\longrightarrow \sf{= 50 + 30}

• \longrightarrow \sf{ \underline{80cm}}

\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}

\large\bm{Breadth= \: 50cm}

\large\bm{Length= \: 80cm}

3 0
2 years ago
The percentage 21 is of 28 is equal to the percentage 30 is of 40<br> True?<br> or false?
katovenus [111]

Answer:

False

Step-by-step explanation:

75%

21

28 5.88

21 x 28

100

= 5.88

x 100% = 75%33.3333333333%

28 - 21

21

x 100% = 33.3333333333%

5 0
3 years ago
A perfect score on a test with 25 questions is 100. Each question is worth 4 points. Fred got a score of 84 on the test write a
ICE Princess25 [194]
Given:
perfect score- 100
number of questions of the test- 25
worth of each question- 4 points
Fred's score- 84
n- number of questions Fred had answered incorrectly.

solution:
solve for n
division sentence: (100 ÷ 4 ) -  ( 84 ÷ 4 ) = n

(100 ÷ 4 ) -  ( 84 ÷ 4 ) = n
25 - 21 = n
4= n

therefore, Fred had answered 4 test questions incorrectly.



6 0
3 years ago
Read 2 more answers
1).Calculate T, when sample mean is 120, population mean is 100, standard deviation is 20 and smaple size is 10 using levels of
Sonbull [250]

Answer:

t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16  

p_v =2*P(t_{9}>3.16)=0.012  

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and the true mean is significantly different from 100 at 5% of significance.  

Step-by-step explanation:

Data given and notation

\bar X=120 represent the sample mean  

s=20 represent the standard deviation for the sample

n=10 sample size  

\mu_o =100 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the mean is different from 100, the system of hypothesis would be:  

Null hypothesis:\mu = 100  

Alternative hypothesis:\mu \neq 100  

Compute the test statistic  

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can replace in formula (1) the info given like this:  

t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16  

Now we need to find the degrees of freedom for the t distirbution given by:

df=n-1=10-1=9

Conclusion

Since is a tao tailed test the p value would be:  

p_v =2*P(t_{9}>3.16)=0.012  

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and the true mean is significantly different from 100 at 5% of significance.  

8 0
3 years ago
Read 2 more answers
If a vertical pole 30 ft tall casts a shadow 8ft long, how long would the shadow of 40-ft pole be at the same time and place
TEA [102]
Since it as at the same time and place.

Let x be the length of the shadow of the 40-ft pole.

The ratio from 30 and 8 would have to be the same as 40 and x.

30:8  =  40:x

30/8 = 40/x    Cross multiply

30x = 40*8

x = 40*8 / 30 = 32/3 = 10.67

Length of shadow for 40ft  is 10.67 ft.
5 0
3 years ago
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