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3 years ago

How do u solve this?

Mathematics

1 answer:

vlabodo [156]3 years ago

4 0

$\text{The formula of an area of a triangle:}\\\\A_\triangle=\dfrac{1}{2}bh\\\\b-base\\h-height\\----------------------\\\\\text{We have}\\\\b=41\dfrac{1}{2}ft=\dfrac{41\cdot2+1}{2}ft=\dfrac{83}{2}ft\\\\h=36ft\\\\\text{Substitute:}\\\\A_\triangle=\dfrac{1}{2}\left(\dfrac{83}{2}\right)(36)=\left(\dfrac{83}{\not4_1}\right)(36\!\!\!\!\!\!\diagup^9)=(83)(9)=747\ ft^2\\\\\\Answer:\ \boxed{A_\triangle=747\ ft^2}$

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The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin

anzhelika [568]

Answer:

$Length=17.5\ in\\\\Width=11.5\ in$

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

$A=201.25\ in^2\\\\P=58\ in$

The steps are:

1. Solve for the "l" from the formula $A=lw$ :

$A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}$

2. Substitute $l=\frac{201.25}{w}$ into the formula $P=2l+2w$ and solve for "w":

$58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0$

Applying the Quadratic formula $x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$ , we get:

$x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5$

3. Substitute $w_1=17.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{17.5}=11.5$

4. Substitute $w_2=11.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{11.5}=17.5$

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

$l=17.5\ in\\\\w=11.5\ in$

8 0

3 years ago

Solve the radical equation. sqrt 25 – 40x = X – 10

Citrus2011 [14]

-40x=-10-20

-40x=-35

x= 7/8

5 0

2 years ago

HELP QUICK! You must find all intervals where f(x) is negative. f(x)=2(x+3)(x-7)

beks73 [17]

Answer:

any # where -2<=x<7

Step-by-step explanation:

(x-7) would be negative and (x+3) positive, resulting in f(x) being negative.

4 0

2 years ago

Which expression represents the phrase, "the quotient of two times a number decreased by six and three"?

Alex73 [517]

I don't know if you have multiple choices, but it could be: 2x-9

8 0

3 years ago

Plwees help:)

Klio2033 [76]

Answer #1- 8 mins
Answer #2-$0.571

Explanation for #1:

For this first equation you need to find 1 mike per ___ minutes. To get from 10 to 1, you need to divide by 10. This can also be put into this equation—

10x=80

So, to find how many minutes for each mile, divide 80 by 10. This will result in 8. This means that Dan ran 1 mile in 8 minutes.

Explanation for #2:

For this next one we see that we need to find how much Yoko spent on each pound of rice.

Since we are trying to find 1 pound of rice per ___ dollars, we need to divide both 14 and 8 by 14. This can also be put into this equation—

14x=8

Once this is done we know that 1 pound of rice is equal to 0.571428571428571 cents. But, since you are required to round to the nearest hundredth, the answer will only be $0.571.

Hope this helps comment below for more questions :)

7 0

3 years ago