The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?

Answers

Answer 1

Answer: $h-height\nh+2-width\n35 ft^2-Area\n\nArea=h(h+2)\n\nh(h+2)=35\nh^2+2h-35=0\n\na=1;\ b=2;\ c=-35\n\n\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ h_1=(-b-\sqrt\Delta)/(2a)\ and\ h_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=2^2-4\cdot1\cdot(-35)=4+140=144;\ \sqrt\Delta=√(144)=12\n\nh_1=(-2-12)/(2\cdot1)=(-14)/(2)=-7 < 0;\ h_2=(-2+12)/(2\cdot1)=(10)/(2)=5\n\nAnswer:Height\ is\ 5\ ft.$

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The cost of renting a pickup truck at Trucks Plus is $25 plus $15 cents per mile driven. The cost of renting a truck at Need-A-Truck is $25 plus $10 cents per mile driven. In a graph of the cost of a truck rental, what does the cost per mile driven represent?

Answers

Okay so. Here's what it looks like : TRUCK PLUS: $25 is the fee upfront. so no matter what your GOING to pay $25 for using the company. Next 15 cents for every mile driven. So if the truck were to drive 3 miles it would be $.45 cents

NEED-A-TRUCK : Same thing. You have to pay $25 no matter what. But for this company you have to pay $.10 per mile. COST PER MILE means that basically the more miles you drive, the more cents you have to pay. Does that make sense?

Answer:

You have to pay $25 no matter what. But for this company you have to pay $.10 per mile. COST PER MILE means that basically the more miles you drive, the more cents you have to pay. Does that make sense?

Step-by-step explanation:

Find the GCF of each pair of numb 5 and 40

Answers

Answer: The GCF of 5 and 40 is 5

Step-by-step explanation:

The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly. To find the GCF of 5 and 40, we can list the factors of each number and find their common factors.

The factors of 5 are 1 and 5. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

To find the common factors, we can compare the factors of 5 and 40:

- Both 5 and 40 have 1 as a factor.

- However, 5 is not a factor of 40.

Therefore, the GCF of 5 and 40 is 1, as it is the largest number that divides both 5 and 40 evenly.

Another way to find the GCF is by using prime factorization. Let's find the prime factorization of 5 and 40:

- The prime factorization of 5 is 5.

- The prime factorization of 40 is 2 * 2 * 2 * 5.

To find the GCF, we take the common prime factors with the lowest exponents. In this case, the common prime factor is 5.

So, the GCF of 5 and 40 is 5.

Final answer:

The GCF of 5 and 40 is 5.

Explanation:

To find the GCF of 5 and 40, we can list the factors of each number and find the largest common factor.

Factors of 5: 1, 5

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

The common factors of 5 and 40 are 1 and 5. The largest common factor is 5.

Therefore, the GCF of 5 and 40 is 5.

Learn more about finding the greatest common factor (gcf) here:

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If one angle of a rhombus is 35 What are the remaining three angles

Answers

angle across from the each other is equivalent then
So one of the other angles is 35

35+35=70

360 degrees in a Rhombus

360 - 70 = 290
290 / 2=145

The remaining angles are 35, 145, 145

the rhombus of the rest of the 3 is 105

What is the value of the expression 3/3^-2 ?A.27

B.18

C.1/2

D.1/3

Answers

the answer is a I hope this helped you out

While exercising julie found that her heart was beating 12 times every 5 seconds.how many times was it beating per minute

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Julie needs to stop counting her heart rate and start actually exercising. Her heart is currently beating at 144 times a minute.

A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square? A square with a side length of 4 units is shown. A diagonal is drawn with one section shaded inside the figure. (5 points) fraction 1 over 2 ⋅ 4 ⋅ 4 fraction 1 over 4 ⋅ 4 ⋅ 4 fraction 1 over 2 ⋅ 2 ⋅ 2 fraction 1 over 4 ⋅ 2 ⋅ 230 points :)

Answers

Answer:

again, barely readable.and you didn't provide the picture for this problem.

but if the are of the triangle if just half of the square, it's one of the options that got 1/2 in it as a fraction.

but if it's 1/2 * 2 * 2

or 1/2 * 4 * 4

really depends on the square. either the area of the square is 2*2 or 4*4, and the triangle is just half of it. at least that's most likely.

can't really tell what's going on here without the missing picture

Answer:

A. fraction 1 over 2 ⋅ 4 ⋅ 4 or 1/2 ⋅ 4 ⋅ 4

Step-by-step explanation:

Hope I helped!!

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