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AlexFokin [52]
3 years ago
9

1. Complete the comparison: 3+ 7 > ? A. 10-2 B.9 + 4 C. 7+3 D. 8 + 2

Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0

Answer:

<u>The correct answer is A. 10 - 2</u>

Step-by-step explanation:

1. Let's make all the comparisons for the four alternatives:

A.  3 + 7 > 10 - 2 ⇒ 10 > 8, the comparison is correct because 10 is bigger than 8.

B.  3 + 7 > 9 + 4 ⇒ 10 > 13, the comparison is not correct because 10 is less than 13.

C.  3 + 7 > 7 + 3 ⇒ 10 > 10, the comparison is not correct because 10 is equal to 10.

D.  3 + 7 > 8 + 2 ⇒ 10 > 10, the comparison is not correct because 10 is equal to 10.

<u>The only correct comparison is A. 10 - 2.</u>

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A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s
makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = Length \times Breadth = xy

We are given that the area of the garden is 122 square feet

So, xy=122 ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = 30x+20(\frac{122}{x})

Total cost = \frac{2440}{x}+30x

Now take the derivative to minimize the cost

f(x)=\frac{2440}{x}+30x

f'(x)=-\frac{2440}{x^2}+30

Equate it equal to 0

0=-\frac{2440}{x^2}+30

\frac{2440}{x^2}=30

\sqrt{\frac{2440}{30}}=x

9.018 =x

Now check whether it is minimum or not

take second derivative

f'(x)=-\frac{2440}{x^2}+30

f''(x)=-(-2)\frac{2440}{x^3}

Substitute the value of x

f''(x)=-(-2)\frac{2440}{(9.018)^3}

f''(x)=6.6540

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

(9.018)y=122

y=\frac{122}{9.018}

y=13.528

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0
3 years ago
It costs $50 plus $28 per month to join the gym.How much would it cost to join for 7 months?​
cestrela7 [59]

Answer:

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Step-by-step explanation:

50 + 28 = 78 x 7 = 546

5 0
3 years ago
Please! Need help! Please answer 6 through 10! Brainliest! As a reward!
True [87]

Answer:

6=72 cm; 7=15 cm; 8=30 in; 9)56.5 degrees; 10)40 in

Step-by-step explanation:

6) The height of the triangle is 12 cm. The base is around 10 cm. Triangles are 1/2(b)h, so:

1/2(10)=5

5*12=60 cm

72 is closest to this.

7) Volume is l*w*h, so:

2.5*1.5=3.75

3.75*4=15 cm

8) Again, the height is 5 and the base is 12. 1/2(b)h means:

1/2(12)=6

6*5=30 in

9) All triangles have 180 degrees. So first, add the degrees you know:

33.5+90=123.5

Now, subtract that from 180:

180-123.5=56.5

10) Trapezoids can be found by multiplying the height by the smaller base, so:

6*8=40 in

Hope this helped!

4 0
2 years ago
PLEASE HELP!!! Write an absolute value equation representing all numbers x whose distance from 0 is 10 units.​
tangare [24]
X would be the absolute value of 10 or -10 since they both are 10 units from 0 so it can be x=l10l or x=l-10l, they both equal 10
5 0
3 years ago
If RQRS is a parallelogram with two adjacent congruent sides then____
earnstyle [38]

Answer:

If PQRS is a parallelogram with two adjacent congruent sides, then it must be a rhombus. A rhombus is a parallelogram characterized by having all sides congruent. Therefore, the adjacent sides must be congruent as well.

5 0
3 years ago
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