A square has an area of 49in^2. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45in^2. Find the dimensions of the rectangle Round your answer to the nearest tenth, when appropriate
The area of a rectangle is given as:
Area = Length x width
The dimensions of the rectangle are 9 inches and 5 inches.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Area of a square = 49 in²
Area of a square = side²
This means the side of the square is 7 inches.
Now,
Let the same amount be x.
The area of the rectangle = 45 in²
The length of the rectangle = 7 + x
The width of the rectangle = 7 - x
The area of the rectangle = Length x Width
45 in² = (7 + x)(7 - x)
45 = 49 - 7x + 7x - x²
45 = 49 - x²
x² = 49 - 45
x² = 4
x = 2
Now,
The dimensions of the rectangle are:
Length = 7 + x = 7 + 2 = 9 inches
Width = 7 - x = 7 - 2 = 5 inches
Thus,
The dimensions of the rectangle are 9 inches and 5 inches.
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Luigi recorded the temperature in his garden at diffternt times of the same day
[tex]please tell \: the \: answer[/tex]
Answer:
wdym
Step-by-step explanation:
Last exam question for the day And im finally off!
No LINKS
Answer:
A1: a=4
A2: a=12
A3: p=18
Step-by-step explanation:
a= 1/2 4 * 2
= 4
a = 1/2 6 * 4
= 12
to find p add all sides
P= 6 + 6 + 6 = 18
Select the correct answer.
Which expression gives the area of triangle QRS?
s
15
20°
R
9
O A £19)(15)cos(209)
O B. (11)(15)cos(209)
oc. (9)(15)sin(20°)
OD. £(11)(15)sin(209)
Area of ΔQRS is 1/2×9×15×sin20° which is correct option (C)
What is area of triangle?
Area of triangle is half the product of any two sides and the sine of the included angle.
Area = 1/2.ab.sinC
Area of ΔQRS = 1/2×9×15×sin∅
∵ ∅ = 20°
Area of ΔQRS = 1/2×9×15×sin20°
Hence, area of ΔQRS is 1/2×9×15×sin20°
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Please help me! What is x and y? Thank you!
Answer:
x=3. y=6
Step-by-step explanation:
So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.
So to find what x equals, we can take the 13, and make it equal to the 4x+1:
13=4x+1
Subtract the one from both sides:
12=4x
Divide both sides by 4:
3=x
Or
x=3
So we know the x value is 3.
Now lets solve for y using the bottom equations:
2x+y=8x-2y
Subtract 1y from both sides:
2x=8x-3y
Subtract 8x from both sides:
-6x=-3y
Divide both sides by -6:
x=1/2y
So we already know that x=3, lets plug that in for x, and solve for y:
3=1/2y
Or
1/2y=3
Multiply both sides by 2 to get 1y:
y=6
So we know that y is equal to 6.
Hope this helps!
Why are there so many bots on here?
Answer:
Not sure, It's getting kinda annoying ngl
Step-by-step explanation:
Which input value produces the same output value for the two functions on the graph?
у
5
4
3
+ N
f(x) == {x+1
g(x) = 3x-4
-5 4 -3 -2 -14
2
х
g(x)
-3-
-5
The input value that produces the same output value for the two functions on the graph is; x = 3
Linear Equation GraphsFrom the attached graph, we see the two functions represented by;
Blue line which is g(x)
Red line which is f(x)
Now, the input values are all values of x that can be traced to a corresponding value of y on the function lines.
Now, from the graph we see that the to lines meet at the coordinate (3, -1). Thus, the input value that produces the same output value is x = 3.
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Can somebody please help me out please my grads are bad
Answer:
700mm
Step-by-step explanation:
.7 meters = 70cm = 700mm
Answer:
ASK A RABBIT
Step-by-step explanation:
Arrange the vehicles in descending order according to the altitudes at which they operate.
Vehicle Altitude (feet)
sailboat 0
submarine -1,500
glider 5,000
airship 3,000
A.
sailboat, submarine, glider, airship
B.
submarine, sailboat, airship, glider
C.
airship, glider, submarine, sailboat
D.
glider, airship, sailboat, submarine
Answer:
airship, glider, submarine, sailboat
what is 1+1-(3x3)-(1x9)
twice a number x divided by 4 is 9
Answer: 18
18 x 2 = 36
36 / 4 = 9
Answer:
2x/4 = 9
x = 18
Step-by-step explanation:
Twice a number x divided by 4 is 9
2x/4 = 9
2x = 36
x = 18
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in
your answer.
00
alyd
yd
yde
yoo
3yd
х
3
?
2yd
4yd
2yd
Which set of numbers cannot represent the lengths of the sides of a triangle?
6, 8, 11
7, 5, 6
5, 4, 11
9, 12, 19
9514 1404 393
Answer:
(c) 5, 4, 11
Step-by-step explanation:
The sum of the two short sides must exceed the long side. That is not the case for ...
5 + 4 = 9 < 11
The lengths 5, 4, 11 cannot be a triangle.
The ratio of boys to girls in a
group is 7 : 1. If there are 48 more boys
than girls, work out how many girls
there are
Answer:
48+x/x=7/1
48+x=7x
6x=48
x=8
no. of girls = 8
no.of boys= 48+8
= 56
The answer is 8
Answer:
8 girls
Step-by-step explanation:
Ratio boys to girls = 7:1
There area 48 more boys than girls
First lets make an equation
7x - 1x = 48
6x = 48
x = 8
There are 8 girls
Check:
7*x : 1*x =
56 : 8
56 - 8 = 48
Correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Angle Relationships
When solving for x, the sine of 33° is used. What other angle and trigonometric function could be used to solve for x?
a. cos 57°
b. tan 33°
c. tan 57°
d. cos 33°
Please select the best answer from the choices provided
Answer:
A. cos 57°
Step-by-step explanation:
I calculated it logically
Answer:
The answer correct A. Cos 57
Step-by-step explanation:
90-33=57
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=26°, and DB = 48 feet. Find the length of BC to the nearest tenth of a foot.
The length of BC Is ___ ft.
Answer:
98.4 feets
Step-by-step explanation:
To obtain BC
we could make use of B as angle, the apply the trigonometric relation :
Tan B =adjacent / hypotenus
Tan B = DB / BC
Tan 26 = 48 / BC
0.4877325 = 48 / BC
BC = 48 / 0.4877325
BC = 98.4 feets
in desperate need of help please :/
Answer:
since 13 miles is 68640 i wood say 189 inches long from bumper to bumper. A mile is 5,280 feet (or 63,360 inches).
If 335 of these cars were parked with their bumpers touching, they would be almost exactly a mile long.
If your question refers to traffic jams, the answer will be a bit different, since cars in traffic jams don’t get that close together. I’m going to take a wild guess here, but let’s assume that there is a 4-foot gap between cars in our hypothetical traffic jam. now put that in to 13 miles
Step-by-step explanation:
Plz I need your help
Question 9 of 10
Which best describes how to find the length of an arc in a circle?
A. Divide the arc's degree measure by 360°, then multiply by the
circumference of the circle,
B. Divide the arc's degree measure by 360°, then multiply by the
radius of the circle.
C. Divide the arc's degree measure by 180°, then multiply by the
radius of the circle.
D. Divide the arc's degree measure by 180°, then multiply by the
circumference of the circle.
To find the length of an arc in a circle we use (a) Divide the arc's degree measure by 360°, then multiply by the circumference of the circle,
Which best describes how to find the length of an arc in a circle?From the question, we have the following parameters that can be used in our computation:
The length of an arc in a circle
The length of an arc in a circle is calculated as
Length = Angle/360 * Circumference
This is representd by the option (a)
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What’s the correct answer??? I will mark as brainlest
Answer: the answer is 10
Step-by-step explanation:
Timmy estimated he would spend $9 at the candy store. He went a little over-budget and spent $12. What was the percent error?
[tex]\boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]
[tex]\mathrm{ \% \: error =\dfrac{3}{9} ×100}[/tex][tex]\mathrm{ \% \: error = \dfrac{1}{3} ×100}[/tex][tex]\mathrm{ \% \: error = 33.33 \%}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Is the product 3/5 times 8 greater than or less than 8? Explain.
Answer:
Less than
Step-by-step explanation:
1x8 - exactly 8
So multiplying something less than 1 x 8 must be less than 8.
3/5<1
Hope this helps!
while at a bakery, lester decides to purchase some cupcakes and vrownies to shaee with his friends. He can spend up to $18, and the bakery charges $2 for a cupcake and $1 for a brownie. To ensure thaf he has enough food, Lester wants to buy at least 7 cupcakes and brownies. What system of inequalities describes the situation? x is number of cupcakes and y is brownies
Answer:
X=7
Y=4
Step-by-step explanation:
Solve the proportion 7/5=21/x
The probability of getting a A in mr Atkesons class is 25% what is the probability of not getting a A
Answer:
75%
Step-by-step explanation:
100% - 25% = 75%
<3 Enjoy,
Dea
9) Which of the following shows the Associative Property of Addition
A. (18+41) + 12 = (41 + 18) + 12
B. 18+ 41 = 41 +18
C. 18+ 4) = (10 + 40) + (8 +1)
D. (18+41) + 12 = 18+ [41 +12)
Helpppp
122333444455555666666777777788888888
what is the patern
Answer:
each number it being counted that number of times
hope this helps
have a good day :)
Step-by-step explanation:
The identity (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?
Answer:
The triple are: 48, 55 and 73
Step-by-step explanation:
Given
[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]
[tex]x = 8; y=3[/tex]
Required
The Pythagorean triple
We have:
[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]
Substitute: [tex]x = 8; y=3[/tex]
[tex](8^2 + 3^2)^2 = (8^2 - 3^2)^2 + (2*8*3)^2[/tex]
[tex](64 + 9)^2 = (64 - 9)^2 + (48)^2[/tex]
[tex](73)^2 = (55)^2 + (48)^2[/tex]
[tex]5329 = 5329[/tex]
Hence, the triple are: 48, 55 and 73
Which of the following notations correctly describe the end behavior of the polynomial graphed below?
Answer:
Step-by-step explanation:
B. As x approaches negative infinity, f(x) appoaches positive infinity.
As x approaches positive infinity, f(x) approaches negative infinity.
For the given polynomial the end behaviour are -∞ and ∞. The correct option is (B).
How to find the end behaviour for a polynomial?A polynomial is defined as the algebraic expression having all the powers to its terms as whole number. In order to find the end behaviour of a polynomial p(x), determine its value for two cases when x approaches to infinity and minus infinity.
From the graph of the polynomial given in the problem it can be observed as,
As the value of x approaches ∞ , f(x) becomes -∞.
And, as the value of x approaches -∞ , f(x) becomes ∞.
Hence, the end behaviour are given as -∞ and ∞.
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I need help with this question please
Answer:
The answer is 4
Step-by-step explanation: