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elena55 [62]
3 years ago
6

PLEASE HELP ASAP!!

Mathematics
1 answer:
spayn [35]3 years ago
6 0
Huygens
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Joe is placing tile in a small rectangular room. The room measures 8 feet by 5.5 feet. If one square foot tiles are sold in pack
Anit [1.1K]

Answer:

4

Step-by-step explanation:

The area, a of the room is 8* 5.5

a = 44 sqaure feet

one square foot of tiles are sold in packages of 12

To get the number of packages needed, simply divide the area of the room by 12

This gives:

44/12 = 4

= 3.67   round up to the nearest whole number

= 4

6 0
3 years ago
Choose two positive integers a and b, making sure that a<5 and b>80 . The width of a rectangular computer screen is a inch
qwelly [4]

Answer:

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

Step-by-step explanation:

Height = H

Width = H + a

Area = Height x Width

b = H * (H + a)

b = H^{2} + aH

H^{2} + aH > 80

H^{2} + aH - 80 > 0

a<5 means 'a' can be a = 1, 2, 3, 4

Solving for H for each option of 'a' will give values of 'H' using the quadratic formula below

H = \frac{-b\±\sqrt{b^{2}-4ac}}{2a}

As 'a' and 'b' must be positive integers, H and W must be positive integers as well,

a = 1, H = 8.46, H = -9.46

a = 2, H = 8, H = -10

a = 3, H = 7.57, H = -10.57

a = 4, H = 7.17, H = -11.17

Based on above possible answers:

a=2, H=8

W = H + a

W = 8 + 2

W = 10

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

5 0
3 years ago
What is an discriminant ​
igor_vitrenko [27]

Answer:

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

8 0
2 years ago
Read 2 more answers
Item 10 At 1:00 P.M., you have 24 megabytes of a movie. At 1:15 P.M., you have 96 megabytes. What is the download rate in megaby
alex41 [277]

Answer:

4.8 megabytes / minute.

Step-by-step explanation:

At the beginning of recording the download you have 24 megabytes.

15 minutes later, you have 96 megabytes.

In 15 minutes you have downloaded 96 - 24 = 72 megabytes

So the question turns out to be  a proportion of

x megabytes / 1 minute = 72 megabytes / 15 minutes.

x = 72/15

x = 4.8 megabytes / minute

3 0
3 years ago
Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answer
spayn [35]

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.


Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

4 0
2 years ago
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