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3 years ago

Use the table to find the relationship between the two quantities.

Mathematics

2 answers:

olchik [2.2K]3 years ago

3 0

Answer:

the answer is 3

Step-by-step explanation:

Alenkinab [10]3 years ago

3 0

Answer:

Step-by-step explanation:

edg 2021

i did the assignment a few minutes ago and made a 100 hope u have a great day and make sure to wear a mask and drink lots of water! ^^

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Suppose a local park is rectangular in shape and has a length of 210 yards and a width of 105 yards. What is the length of the d

Otrada [13]

Answer:

234.784 ~ 235

Step-by-step explanation:

One side = 210

other side = 105

a2+b2 = c2

210 ^2 + 105 ^2 = c2

55125 = c ^2

c = $\sqrt{55125}$ = 234.784 ~ 235

hope its right!!!

7 0

3 years ago

If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible

Evgen [1.6K]

Answer:

Volume = $7969$ cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box be A and the height of the box be H.

Area of material required to make the box is equal to is $A^2 + 4*A*H.$

$A^2 + 4*A*H = 1900$

Rearranging the above equation, we get -

$`H = \frac{(1900 - A^2)}{(4*A)}$

Volume of box is equal to product of base area of box and the height of the box -

$V = A*A* H$

Substituting the given area we get -

$\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}$

For maximum volume

$\frac{dV}{dA} =0$

$\frac{ 1900}{4} - \frac{3*A^2}{4} = 0$

$A^2 = \frac{1900}{3}$

Volume of the box

= $\frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }$

= $7969$ cubic centimeter

3 0

3 years ago

2(3x + 1) - (x - 5) = 42

lbvjy [14]

Answer:

6x+2-1x+5=42

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Courtney has a total of 88 stamps worth $15.56. Some are $0.25 stamps and some are $0.02 stamps. How many of each foes she have?

olganol [36]

Let x = # of 25-cent stamps

y = # of 2-cent stamps

{ x+ y = 88

{ 0.25x + 0.02y = 15.56

60 25-cent stamps 28 2-cent stamps

5 0

3 years ago

If tan theta = 12/5 and cos theta < 0, what is sin theta ?

Talja [164]

1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
cos Ф>0 ⇔ sec Ф>0 ⇔ sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1 ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0 ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0

3 years ago