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3 years ago

What is the length of a missing side of a 48 feet and 52 feet 90° triangle

Mathematics

1 answer:

RideAnS [48]3 years ago

5 0

Answer:

Step-by-step explanation:

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A family built a house and wanted to put down in their rectangular yard. The sod costs $0.32 per square foot plus 10 per square

sammy [17]

Answer:

The total cost of purchasing and laying sods in the rectangular yard is $2,146.67

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangular yard:

Length = 50 feet

Width = 30 feet

Area of rectangular yard =

$A = \text{Length}\times \text{Width}\\A = 50\times 30\\A = 1500\text{ square feet}$

Cost of sod = $0.32 per square foot

Total cost of sod =

$C_1 = \text{Unit cost of sod}\times \text{Area of yard}\\C_1 = 0.32\times 1500\\C_1 = 480\$$

Cost of laying sods = $10 per square yard

Total cost of laying sod =

$C_2 = \text{Unit cost of laying sod}\times \text{Area of yard}\\\\\text{1 square yard}=\dfrac{1}{9}\text{Square foot}\\\\C_2 = 10\times \dfrac{1500}{9}\\\\C_2 = 1666.67\$$

Total cost of purchasing and laying the sod =

$C = C_1 + C_2\\C = 480 +1666.67\\C = \$2,146.67$

Thus, the total cost of purchasing and laying sods in the rectangular yard is $2,146.67

3 0

3 years ago

Triangle QRS has been translated to create triangle Q'R'S'. RS= R'S' = 10 units, QS= Q'S' = 5 units, and angles Q and Q' are bot

const2013 [10]

It would be ASA(angle side angle)

if 2 angles and an included side are congruent, then the two triangles are congruent.

5 0

3 years ago

Read 2 more answers

Juanita is scrapbooking. She usually completes about 9 pages per hour. One night last week she completed pages 23 through 47 in

Ad libitum [116K]

Answer:

Step-by-step explanation:

She worked at an average of 9.6 pages per hour. 47-23=24 pages 24 pg/2.5 hours= 9.6 pages per hour.

4 0

3 years ago

What is the square root of -6.76

mojhsa [17]

Answer:

2.6i

Step-by-step explanation:

undo the - by making it: √-6.76= √6.76 x √-1

then, √-1 would be converted to imaginary number -> i

now rewrite it as √6.76 x i or i√6.76 which is the same as the squareroot of 6.76 which is 2.6 times i.

Then just write your final answer as 2.6i

5 0

3 years ago

Read 2 more answers

HELP...The volume of a rectangular prism is 36x^6y^8. The length of the prism is 4x^3y^5, and the width of the prism is 3xy^2. W

Margaret [11]

Answer:

$H = 3x^2y$

Step-by-step explanation:

Given

$V = 36x&^6y^8$

$L = 4x^3y^5$

$W = 3xy^2$

Required

Find the height of the prism

Volume (V) is calculated as:

$V =LWH$

Substitute values for V, L and W

$36x^6y^8 =4x^3y^5 * 3xy^2 * H$

Make H the subject

$H = \frac{36x^6y^8}{4x^3y^5 * 3xy^2}$

$H = \frac{36x^6y^8}{4*3x^3*x*y^5y^2}$

$H = \frac{36x^6y^8}{12x^4*y^7}$

Divide:

$H = 3x^{6-4}y^{8-7}$

$H = 3x^2y$

The height of the prism is: $3x^2y$

4 0

3 years ago