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vova2212 [387]
3 years ago
5

A rectangle has a length of 45 inches less than 4 times its width. if the area of the rectangle is 3325 square inches, find the

length of the rectangle.
Mathematics
1 answer:
Maru [420]3 years ago
8 0

The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have 3325=4w^2-45w. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. 4w^2-45w-3325=0. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!

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Anna11 [10]

A. Bc a negative times a negative would be positive

C. Bc it would equal 0 and zero is not negative.

1*-7=-7 it wants a negative value so times it by one keeps it negative and same with if it is Multiplied by 7

8 0
3 years ago
Read 2 more answers
If sine theta equals three over four, what are the values of cos θ and tan θ?
ratelena [41]

Answer:

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven

Step-by-step explanation:

Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.

Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.

a²+b²=c²

a²=c²-b²

a²=4²-3²

a²=16-9

a²=7

a=√7

Then Cos ∅= opposite/ adjacent

=√7/4

Then Tan ∅ = opposite/adjacent

=3/√7

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven.

7 0
3 years ago
Lets see who is smart lol
Simora [160]

9514 1404 393

Answer:

  \square\quad{y=\dfrac{1}{2}x+4}\\\\\square\quad{\dfrac{y-5}{x-2}=\dfrac{1}{2}}

Step-by-step explanation:

The slope of a line is the same everywhere, so an equation can be written making use of that fact.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{y-5}{x-2}=\dfrac{7-5}{6-2}=\dfrac{2}{4}\\\\\boxed{\dfrac{y-5}{x-2}=\dfrac{1}{2}}

Cross-multiplying gives ...

  2(y -5) = x -2

  2y -10 = x -2  . . . eliminate parentheses

  2y = x +8 . . . . . . . add 10; next, divide by 2

  \boxed{y=\dfrac{1}{2}x+4}

__

These equations match choices B and D.

6 0
3 years ago
A country's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponentia
Aloiza [94]
K = ln (153/147)/7
k = <span> ln (<span> <span> 1.0408163265)/7
k = </span></span></span>0.040005334584

y(t) = a * e ^ k*t

y(2017) = 147 * e^ <span><span><span>0.040005334584 </span> </span> </span> * 26
y(2017) = 147*e^ <span> <span> <span> 1.0401386992 </span> </span> </span>
y(2017) = 147* <span> <span> <span> 2.8296094512 </span> </span> </span>
<span>y(2017) = 415.95 NOT very sure of that answer


</span>









6 0
3 years ago
Please help ASAP I'll give BRAINLIEST
bearhunter [10]

30

Hope this helps :)


5 0
3 years ago
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