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AleksandrR [38]
3 years ago
8

Picture Included PLEASE help

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0
Is there any other answers? To me, none of those look correct. If you had -3 and substituted it into the equation you would get -1(-3)+3, which would turn into 3+3 which equals 6.
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Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the
Nikitich [7]

Answer:

The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

A: area = 24 in² — does not match 54 in²

B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio

C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement

D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

w/h = 3/2

wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches

4 0
3 years ago
Read 2 more answers
A couple does not wish to spend more than $60 for dinner at a restaurant. if a sales tax of 7% is added to the bill and they pla
Firlakuza [10]
Hey there!

The first step of this problem would be to add together our two percentages, then convert that percentage into a decimal by dividing by 100. 

15% + 7% = 22%

22 ÷ 100 = 0.22

It can be assumed here that 22% of the cost will be added tax and tip. We can use 0.22 to represent that percentage in our problem. Just multiply that decimal by the maximum amount of money they want to spend, $60, to get the amount that will just be tax and tip. Finally, subtract the tax and tip from $60 to find the most they can spend on the meal itself. 

60 × 0.22 = 13.20

60 – 13.20 = 46.80

The total amount they can spend is 46.80. 

Hope this helped you out! :-)
5 0
3 years ago
What is 10^0+10^1+10^2=​
Komok [63]

\text{Hey there!}

\bf{10^0+10^1+10^2}\\\\\bf{10^0=1}\\\\\bf{10^1=10}\\\\\bf{10^2=10\times10\rightarrow100}\\\\\bf{1+10+100}\\\\\bf{1 + 10 = 11}\\\\\bf{11 + 100=111}\\\\\boxed{\boxed{\bf{Answer: 111}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

5 0
3 years ago
Find sin(B), cos(B) and tan(B) for the right triangle ABC shown. Please show your work below.
tangare [24]

Hello!

These are the following formulas to calculate sine, cosine, and tangent.

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

To find sin(B), we need to find the side opposite of angle B, and the hypotenuse.

The opposite of angle B is 12, and the hypotenuse is 13.

sin(B) = 12/13

sin^-1(12/13) = 67.3801... This can be rounded to 67.38 degrees. (Tenths place: 67.4 degrees)

To find cos(B), we need to find the side adjacent of angle B, and the hypotenuse.

The adjacent side of angle B is 5, and the hypotenuse is 13.

cos(B) = 5/13

cos^-1(5/13) = 67.3801... It can be rounded to 67.38 degrees. Rounded to the tenths place is 67.4 degrees.

To find cos(B), we need to find the side adjacent and opposite of angle B.

The adjacent side of angle B is 5, and the opposite is 12.

tan(B) = (12/5)

tan^-1(12/5) = 67.3801... This can be rounded to about 67.38 degrees. Rounded to the tenths place is 67.4 degrees.

Therefore, the value of sin(B) is 67.38 degrees, the value of cos(B) is 67.38 degrees, and finally the value of tan(B) is 67.38 degrees.

7 0
3 years ago
Read 2 more answers
If (a+b) = 4 and ab = 3, find the value of a³+b³.​
Stolb23 [73]

Answer:

28

Step-by-step explanation:

a³+b³= (a+b)³ - 3ab(a+b)

= 4³ -3×3×4 = 64-36 = 28

8 0
3 years ago
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