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yKpoI14uk [10]
2 years ago
8

The area of the figure

Mathematics
2 answers:
STALIN [3.7K]2 years ago
5 0
Rectangle:

4*8=32

Semicircle:

3.14*4^2= 50.24
50.24/2=25.12

Add:

25.12+32= 57.12

Final answer: A
Mazyrski [523]2 years ago
5 0
The area would be 57.12in^2
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How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of
sashaice [31]
Inscribe triangle RST in the square with dimensions 4×4, as shown in the figure. 

from the area of this square, 4*4=16, we remove the triangles with dimensions 
3×4, 2×1 and 2×4, whose side lengths are shown in the figure, and we are left with the area of triangle RST.


so Area(RTS)=16- \frac{1}{2}*3*4-  \frac{1}{2}*2*1-  \frac{1}{2}*2*4=16-6-1-4=5 units squared

similarly, 

Area(LMN)=4*3- \frac{1}{2}*1*4- \frac{1}{2}*2*2- \frac{1}{2}*2*3=12-2-2-3=5 units squared

Thus, the areas are equal.

8 0
2 years ago
Read 2 more answers
Henry and walter open savings accounts at the same time. henry invests $6,500 at 4.54% simple interest, and walter invests $7,10
MatroZZZ [7]
$331.52 is the correct answer
7 0
2 years ago
Read 2 more answers
Bob Rohrman is offering a 2016 Toyota Camry for $29,000. If you have a $5,000 down payment and are able to borrow the rest at a
vova2212 [387]

Answer:

The monthly payment will be $531.12

Step-by-step explanation:

Consider the provided information.

After paying $5,000 down payment you need to pay:

$29,000-$5,000=$24,000

APR is 2.99% or APR = 0.299%

Therefore, r=\frac{0.0299}{12}

n = 48

We can calculate the monthly payment by using the formula:

P=\frac{r(PV)}{1-(1+r)^{-n}}

Where P is the monthly payment, PV is the present value, r is the rate per period and n is the number of period.

Substitute the respective values in the above formula we get,

P=\frac{\frac{0.0299}{12}(24000)}{1-(1+\frac{0.0299}{12})^{-48}}

P=\frac{59.8}{0.112593}

P\approx531.12

Hence, the monthly payment will be $531.12

4 0
2 years ago
Question 1 (1 point) The yearly interest payable on a deposit of $250 at 5.5% p.a. simple interest is: A $137.50 B $13.75 C $12.
dlinn [17]

Answer:

B: $13.75

Step-by-step explanation:

5.5% of $250 = $13.75

Therefore, the simple interest is $13.75.

6 0
1 year ago
In a completely randomized experimental design involving three assembly methods, 30 employees were randomly selected and 10 were
AnnZ [28]

Answer:

F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32

So then the best option is:

a. 7.32

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have 3 groups and on each group from j=1,\dots,10 we have 10 individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2  

And we have this property  

SST=SS_{between}+SS_{within}

Where SST represent the total sum of squares.  

The degrees of freedom for the numerator on this case is given by df_{num}=k-1=3-1=2 where k =3 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=30-3=27.  

And the total degrees of freedom would be df=N-1=30 -1 =29  

From the info given we know that MSR=\frac{SSR}{2}=45.89

And MSE=\frac{SSE}{27}=6.27

From definition the F statisitc is defined as:

F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32

So then the best option is:

a. 7.32

3 0
2 years ago
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