Answer:
The length is 12 cm, and the width is 9 cm.
Step-by-step explanation:
The length and width of a rectangle as legs form a right triangle with the diagonal of the triangle as the hypotenuse.
We can use the Pythagorean theorem to write an equation.
Let the width = w = leg a
The length = w + 3 = leg b
The diagonal = the hypotenuse = 12 = c
a^2 + b^2 = c^2
w^2 + (w + 3)^2 = 15^2
w^2 + w^2 + 6w + 9 = 225
2w^2 + 6w - 216 = 0
w^2 + 3w - 108 = 0
(w + 12)(w - 9) = 0
w + 12 = 0 or w - 9 = 0
w = -12 or w = 9
Since a width cannot be a negative number, we discard the solution w = -12.
width = w = 9
length = w + 3 = 9 + 3 = 12
Answer: The length is 12 cm, and the width is 9 cm.
A triangle has both its base and height reduced by a factor of one half. By what factor would the area of the triangle decrease?
Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that the Ben has to pay?
Answer:
$
1
,
920
Explanation:
Find
15
%
×
12800
15
100
×
12800
1
=
$
1
,
920
Step-by-step explanation:
Please help!!!! Will give Brainliest!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1. after 7 hours, you watch 1 movie
2. after 0 hours, youve watched 0 movies
3. after 14 hours, you have watched 2 movies
3.Salem bought a car for AED 60000 and spent AED5000 on its accessories .Later he sold the car for AED 70000. Find his profit % or loss%
Answer:
7.69%
Step-by-step explanation:
Explanation of the answer is given below:
Car bought for AED 60,000
Accessories for AED 5,000
Total AED 65,000
Car sold for AED 70,000
AED 65,000 - AED 70,000 = AED 5,000
AED 5,000 / 65,000 * 100
= 7.69% Profit
The correct answer is that Salem made a profit of 7.69% on his car.
how many 1/6 cup servings are in 3/4 cups of pop corn
Answer:
4 1/2 cup servings
Step-by-step explanation:
Answer:4 1/2 cup servings
Step-by-step explanation: 3/4 / 1/6 cups =3/4 *6= 18/4=4
What are some ideas for my girlfriends Christmas present of little sayings I can put in a box in a box in a box in a box. For example, if I got my girlfriend a nose ring in one of the boxes, I could say nobody “nose” me like you do. PLEASE HELP, I NEED IDEAS ASAP, thank you!
Step-by-step explanation:
I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry
Help pls i can’t solve this
Answer:
Step-by-step explanation:
5) 121/11 = 11 meals / day
6) 50/10 = 5 min/call
7) 91/7 = 13 books / week
8) 1275 ants/5 ant holes = 255 ants / ant hole
PLEASE HELP URGENT!!! 10 POINTS PLUS BRIANLIEST IF CORRECT!! PLEASE YALL :// HELP!!
Answer:(-4,-6)
Step-by-step explanation:
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
Answer:
A:y=3x-10
Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10
Dora has 20 donuts. she divides those 20 donuts into halves. then she divides those halves into fifths. then she divides those fifths into thirds. how many pieces does she have now?
Answer:
270
Step-by-step explanation:
if u cut a donut in too halfs there are more donuts so 20* 2 is 40 then multiply 40 by 5 since she cuts it into fifths an u get 90 then multiply 90 by 3 since its thirds an you get 270
Answer:
600
Step-by-step explanation:
20 divided by 1/2 is 40
40 divided by 1/5 is 200
200 divided by 1/3 is 600
I WILL GIVE BRAINLEST!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSS SHOW YOUR WORK PLSSSS
Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?
Type the numerical answer only
Answer:
5/6 of $1,200 is $1,000
The answer is $1000
ps: dont add the ($) only numerical answer
A airplane traveled 120 km in 240 minutes. What is the average speed of the airplane? a. 40 b. 10 C. 30 d. 60
Answer:
C
Step-by-step explanation:
240m= 4h
120km
V= 120/4 = 30 km/h
I hope this helps, have a good day
Tyler went to the super market to buy food for a pantry. He has $36, and can carry up to 20pounds of food in his backpack. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best number of packages of pasta and jar of pasta sauce to buy for the food pantry
This question is incomplete
Complete Question
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.
Answer:
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
Step-by-step explanation:
Let
x = the number of packages of pasta
y = the number of jars of pasta sauce.
He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
x + 1.5y ≤ 20....... Equation 1
x = 20 - 1.5y
x × $1 + y × $3 = $36
x + 3y ≤ 36..... Equation 2
20 - 1.5y + 3y = 36
-1.5y + 3y = 36 - 20
1.5y = 16
y = 16/1.5
y = 8
And x = 8
Therefore,
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
10/3 = x divided by -5/2
x = ?
Answer:
-4/3
have a nice day/night
Answer:
x = -25/3
Step-by-step explanation:
x divided by -5/2 is equal to x multiplied by -2/5
therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]
cross-multiply: -6x = 50
x = -50/6 or -25/3
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
√39
Step-by-step explanation:
use the Pythagorean Th because the triangle is right
8² = 5² + x²
8²-5² = x²
√64-25 = x
√39 =x
Mr. Ciullo says he ordered the same amount of bananas each month for his grocery store last year, and the number of pounds ordered each month is a whole number. The produce company says he ordered $6,150 pounds of bananas last year. Does the produce company agree with Mr. Ciullo?
Answer:
No
Step-by-step explanation:
No, the produce company does not agree with Mr. Ciullo. There are a total of 12 months in a year and Mr. Ciullo claims that he ordered a whole number of bananas each month. Therefore, if we divide the total amount in pounds that the produce company claims that Mr. Ciullo ordered last year by the twelve months in the year then the result should be a whole number...
6,150 lbs. / 12 = 512.50 lbs.
We can see that the produce company is claiming that Mr. Ciullo ordered 512.50 pounds per month last year, which is not a whole number and therefore contradicting Mr. Ciullo's statement.
What is the value of x y and z
I’ll give brainliest
Answer:
x=2
length y = 4
angle Z = 45
Step-by-step explanation:
x^2 = 2x^2 - 4
put like terms on same sides, lets subtract x^2 to both sides
0 = x^2 - 4
add 4 to both sides
4 = x^2
square root of 4 = 2
x=2
since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2
y = x^2
y = 4
Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.
please give thanks by clicking the heart button! :)
I will give u the Brainly thingy HelPPpppppP ASAP I’m timeeddd and EXPLAIN
Answer:
The first one
The second one
The third one
The fifth one
Step-by-step explanation:
this is the most simple problem and I can get it right. Please help!
PLEASE ANSWER FAST I NEED HELPPP
Enter the common ratio for this geometric sequence:
8,4,2,....
Give your answer in its simplest form.
Answer:
/2 each time
Step-by-step explanation:
8,4,2
8/2=4
4/2=2
etc
What property is 4x + 40 - 40 = 16 - 40
Answer:
Step-by-step explanation:
or,4x + 40 - 40 (subtract and the answer will be o ; no valueit will get )= 16-40
or, 4x = 16-40
therefore, 4x = 16-40
now,
we can also do,
or, 4x= 16-40
or, 4x= -14
i think it will be helpful, plz mark as brainlist plz..
Use the table to write the rule (equation) for the relationship between x
and y.
х
у
0
4
1
5
2.
6
Answer:
y = x + 4 or x - y + 4 = 0
Step-by-step explanation:
The relation between "x" and "y" is linear.
Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1
Coordinates of y-intercept of the line (0, b) = (0, 4)
Slope-intercept form of a line equation is y = mx + b
The rule (equation) of line is y = x + 4
or x - y + 4 = 0 (in standard form)
Ms. Green purchased a new computer for $1,450 at the Apple Store. If sales tax is 9.5%, what was the tax and total of her purchase?
Tax: $137.75
Total: $1587.75
I hope this helps, and Happy Holidays! :)
Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz
Answer:
.16
Step-by-step explanation:
All you do is double each number by 4.
Answer:
1.6 cups of sugar
Step-by-step explanation:
1 batch=0.4 cups
So if you want 4 batches, you would have to quadruple the amount of sugar
0.4x4=1.6
exposed clout chaser
Answer:
lol thanks for the free points
Step-by-step explanation:
Answer:
Exposed UwU
Have a great day
Sandy plays a matching game in order to advance to the next level, she must score at least 10 points. She scores 15 points for correct matches and -6 points for incorrect matches.
A.Write an addition expression to represent the amount of points Sandy earned.
B.Did Sandy make it to the next level? Explain
Answer:
A) Points earned = 15 - 6
B) Sandy didn't make it to the next level since her score was 9 and she needed a minimum of 10
Step-by-step explanation:
To advance to the next level in her game, Sandy must score at least 10 points.
She scores 15 points for correct matches
She scores -6 points for incorrect matches.
A. The amount of points earned by Sandy in the game is the sum of both scores:
points earned = 15 - 6
points earned = 9
B. Unfortunately, Sandy didn't make it to the next level since her score was 9 and she needed a minimum of 10
A train traveling at 37 M.P.H. had its speed increased by 22 ft. per sec.
If 88 ft./sec. = 60 M.P.H., then the train is now traveling at M.P.H.
Answer:
52 mph
Step-by-step explanation:
If 88 ft/sec = 60 mph
The 22 ft/ sec is 60/4 = 15 mph
This is so because 88/22 is 4
So we simply proceed to add this to the previous speed in mph
That gives a total of 15 + 37 = 52 mph
How can the additive inverse be used to evaluate the problem below?
Negative 3 minus (negative 6)
Answer:3
Step-by-step explanation:
-3--9
-3+9=6
Answer:
Its D
Step-by-step explanation:
100 on quiz