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2 years ago

What is the area of this figure

Mathematics

2 answers:

natita [175]2 years ago

7 0

The area is 178m squared

exis [7]2 years ago

4 0

Answer:

178m squared

Step-by-step explanation:

make 3 rectangular shapes

shape 1 ) 18×5=90

shape 2) 13×6= 78

shape 3) 5×2=10

Add up all the answers and that's the ans

90+78+10=178

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A department store sells yellow and purple shirts. Each yellow shirt is the same price. Each purple shirt is the same price. How

Aleksandr [31]

Answer:

The Cost of yellow shirts is $15 and the cost of purple shirt is $ 60

Step-by-step explanation:

Let cost of one yellow shirt be x

and the cost of one purple shirt be y

On Monday

5x + 7y = 165--------------------(1)

On Tuesday

4x + 11y = 213----------------------(2)

To solve (1) and (2)

multiplying eq(1) with 4

20x + 28y = 660--------------------(3)

multiplying eq(2) with 5

20x + 55y = 1056-------------------(4)

Subtracting (3) from (4)

20x + 55y = 1056

20x + 28y = 660

(-)

-----------------------------------

0x +27y = 405

-----------------------------------

$y = \frac{405}{27}$

y = 15

Substituting y value in eq(1)

5x + 7(15) = 165

5x + 105 =405

5x =405 -105

5x =300

x = \frac{300}{5}

x =60

7 0

2 years ago

Read 2 more answers

A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) wa

grin007 [14]

Answer:

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.98}{2} = 0.99$ . So we have T = 2.462

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.462\frac{91.5}{\sqrt{30}} = 41.13$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 375 - 41.13 = 333.87 kWh

The upper end of the interval is the sample mean added to M. So it is 375 + 41.13 = 416.13 kWh

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

6 0

3 years ago

Explain what the variable represents in an addition or subtraction expression

Stels [109]

A varible represents the number u are looking for.

Example:
2x + 3x

3 0

2 years ago

XY=4x+7 and YZ=8x-1, Find XY

laiz [17]

Answer:

XZ = 12x + 6

Step-by-step explanation:

XZ = XY + YZ

XZ = 4x + 7 + 8x - 1

XZ = 12x + 6

5 0

2 years ago

Given the recursive function f(n) = f(n - 1) - 3 ; f(1) = 9 , what would be the first three terms of the sequence ?

Ann [662]

The first three terms of sequence are 9 , 6 , 3

Solution:

Given the recursive function f(n) = f(n - 1) - 3

Where f(1) = 9

To find: First three terms of sequence

Substitute n = 2 , n = 3 and n = 4 in given recursive function

When n = 2

f(n) = f(n - 1) - 3

f(2) = f(2 - 1) - 3

f(2) = f(1) - 3

f(2) = 9 - 3 = 6

f(2) = 6

Thus second term is 6

When n = 3

f(3) = f( 3 - 1) - 3

f(3) = f(2) - 3

f(3) = 6 - 3 = 3

f(3) = 3

Thus the third term is 3

When n = 4

f(4) = f( 4 - 1) - 3

f(4) = f(3) - 3

f(4) = 3 - 3

f(4) = 0

Thus the fourth term is 0

Thus first three terms of sequence are 9 , 6 , 3

6 0

2 years ago