The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answer:
Step-by-step explanation:
Square is x meters on each side.
Area of square = x²
Width of rectangle = x+1
Length of rectangle = x+4
Area of rectangle = (x+1)(x+4) = x²+5x+4
Combined area = 2x²+5x+4 = 33
2x²+5x-29 = 0
x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4
For what value of x is 2x + 3 = 6x - 17 true?
Answer:
x = 5
Step-by-step explanation:
10 + 3 = 30 - 17
6a-4b when a=5 and b=3
Answer:
18
Step-by-step explanation:
Answer:
Use substitution to receive: 18
Step-by-step explanation:
6a - 4b when a = 5 and b = 3
6(5) - 4(3)
30 - 12 = 18
Please answer all of the 3.
PLEASE! And I’ll give you 5 stars and a Thanks?! :)
Answer:
7) 2((7x12) + (7x2) + (12x2)
2(84 + 14 + 24)
2(122)
244
8) 2((13x4) + (4x6) + (13x6))
2(52 + 24 + 78)
2(154)
308
9) 2((4x15) + (4x8) + (15x8))
2(60 + 32 + 120)
2(212)
424
Step-by-step explanation:
hiw to graph y=-2X+2
Answer:
(1,-4) and (0,2)
Step-by-step explanation:
Answer:
This is what it will look like
Which set of three angles could represent the interior angles of a triangle?
O 26°, 510, 1030
O 290, 540, 1070
35°, 35°, 20°
10°, 90°, 90°
Answer:
26°,51°,103°
Step-by-step explanation:
sum of angles=180°
matthew scored a total of 168 points in basketball this season. He scored 147 of those points what perenct of his total points did he did score in the playoff game
which represents the solution to the inequality -3x +5 > 14?
Answer:
x < -3
Step-by-step explanation:
Which of the following months would be the darkest at the South Pole?
February
December
January
August
Answer:
February
Step-by-step explanation:
February would be the darkest at the South Pole. In the month of February, the temperature raises to -38 to -51 degrees over south pole.
Sue has 100dimes and quarters. If the total value of the coins is $21.40, how many of each kind of coin does she have.
Somebody please help and explain it.
Explanation is in the file
tinyurl.com/wpazsebu
chose the correct equation type for each system WILL MARK BRAINLIEST!!!!!!!!!
Find the value of x in the image above
Answer:
Step-by-step explanation:
Which expression is half as large as the sum of 464646 and 42?42?42, question mark
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
(46+42) \div 2(46+42)÷2left parenthesis, 46, plus, 42, right parenthesis, divided by, 2
(Choice B)
B
2 \div(46+42)2÷(46+42)2, divided by, left parenthesis, 46, plus, 42, right parenthesis
(Choice C)
C
2 \times (46+42)2×(46+42)2, times, left parenthesis, 46, plus, 42, right parenthesis AND LOOK AT SCREENSHOT
4. 3a+6+5a A)16 B)8a C)8
5. 8b+8-4b A)20 B)28 C)12b
6. 5c-4c+c A)9c B)0 C)-6
Answer:
No clue what the answer is...
Find an equation for the line below
Solve the equation 2/3(9+x)=−5(4−x).
Answer:
the answer is x=6
Step-by-step explanation:
hoped I helped
Do the following set of points represent a function?Explain your answer (2,3),(3,8),(-1,4),(1,8)
Answer:
Yes.
Step-by-step explanation:
Yes.
To have a function, you cannot use the same value for an x-coordinate more than once. Here, each value of an x-coordinate is used only once, so it is a function.
Answer:
Yes.
Step-by-step explanation:
It is a many-to-one function. Both 3 and 1 map to 8.
2 maps to to 3 and -1 maps to 4 which is one-to-one.
There are no one to many mappings so it is a function.
Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide.
Answer:
The length of the fish tank is 17 inches.
Step-by-step explanation:
The volume of a rectangular prism is length × breadth × height.
You already know the volume, breadth, and height, so you can find the length.
Length = 2244 ÷ 12 ÷ 11
= 17 inches
The height of the tank is 17 inches.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
The shape of the fish tank is rectangular prism.
The formula to calculate the volume of the rectangular prism is,
Volume = Length × Width × height
Given,
Volume of the tank = 2,244 cubic inches
Length = 12 inches
Width = 11 inches
Let x be the height.
Substituting the given values,
2,244 = 12 × 11 × x
x = 2244 / (12 × 11)
x = 2244 / 132
x = 17 inches
Hence the height of the tank is 17 inches.
Learn more about Volume here :
https://brainly.com/question/21308574
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Your question is incomplete. The complete question is given below.
Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide. What is the height of the tank?
PLEASE HELP!!! :(
Consider the following figure
What is BD?
Answer:
BD = 16
Step-by-step explanation:
32/BD = BD/8
BD² = 256
BD = 16
There are 40 students in The class. Nine of those students are girls. What is the number of boys in the class ?
Answer:
31 students
Step-by-step explanation:
8n + 5 = 77
this is for middle school
Answer:
n=9
Step-by-step explanation:
Answer:
n=9
Step-by-step explanation:
8n+5=77
8n=72
n=9
Solve each equation b+3.3=8.9 what is b?
the answer will be 5.6 !
you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.
please mark brainliest if this was useful ♡
Could someone help me with this due in 2 hours!!!!! Been working on this for 6 hours choosing brainliest!!!!
Step-by-step explanation:
The Triangle Inequality Theorem states that any two sides of the triangle must add up to be greater than the third side.
Question #1Here we have a triangle that has side lengths of 10 in, 11 in, and ? in.
This last side length must add up to 10 in to be greater than 11 in.
The least possible whole number that would fit this description would be 2 in.
10 in + 2 in > 11 in10 in + 11 in > 2 in 11 in + 2 in > 10 inThe missing side length should be labeled as 2 inches.
Question #2We are given a triangle with side lengths of 6 in and 8 in. We are asked to choose all answers that apply from this list:
2 in3 in4.5 in 6.5 in10 in13.5 in14 in15.5 inWe can tell that 2 in cannot be an answer since 6 in + 2 in is not greater than 8 in.
We also know that 14 in and 15.5 in cannot be part of the answer choices since 8 in + 6 in = 14 in, and this is not greater than 14 in or 15.5 in.
The rest of the answer choices will form a triangle if we follow the Triangle Inequality Theorem. You can test it out yourself to check.
Therefore, the answer choices are:
B. 3 inC. 4.5 inD. 6.5 inE. 10 inF. 13.5 in Question #3We are given these possible side lengths:
2, 4, 5, 6, 10Let's test out which combinations will create a triangle.
2 + 4 > 5 5 + 2 > 44 + 5 > 2The straw lengths 2, 4, and 5 will form a triangle.
2 + 5 > 6 5 + 6 > 22 + 6 > 5The straw lengths 2, 5, and 6 will form a triangle.
2 + 6 > 4 4 + 2 >/ 6The straw lengths 2, 4, and 6 will NOT form a triangle.
4 + 5 > 66 + 5 > 4 4 + 6 > 5The straw lengths 4, 5, and 6 will form a triangle.
5 + 6 > 10 10 + 5 > 66 + 10 > 5The straw lengths 5, 6, and 10 will form a triangle.
We have no more straw lengths that will form a triangle, since adding up each remaining pair of given straw lengths do not output a value greater than another number.
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3-4/5X-2/3–3/15+3/5divided by -3/2
Answer:
-2(6x-13)/15
Step-by-step explanation:
This is done by simplifying the expression as well as combining like terms
The marked price of a refrigerator is $1660. John has a coupon for 15% off. Find the selling price of the refrigerator with the coupon
Answer:
answer is selling price=$1411
Step-by-step explanation:
discount percentage=100%-15%=85%
15 less than twice the sum of 61
Answer: 38
Explanation the answer is 38
2. What is the product of the following expression?
2x(x2 + x-5)
A. 2x3 + x-5
B. 2x3 + 2x – 10
C. 2x3 + 2x2 – 5x
D. 2x3 + 2x2 – 10x
(Please help)
i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported
Answer:
for volume you multiple l*w*h so 2)432 4)1,216
hii please help i’ll give brainliest!!
answer is D because statement mentions about evelyn applying brake to stop the car.
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