Answer:
The width of the garden is 22.12 m and its length is 27.12 m
Step-by-step explanation:
Equations
Let x = width of the garden
The length is 5 m longer than the wide, thus:
x + 5 = length of the garden
The area of the rectangular garden is
A=x(x+5)=600
Operating:
[tex]x^2+5x-600=0[/tex]
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Where a=1 b=5 c=-600:
[tex]\displaystyle x=\frac{-5\pm \sqrt{5^2-4(1)(-600)}}{2(1)}[/tex]
Operating:
[tex]\displaystyle x=\frac{-5\pm \sqrt{25+2400}}{2}[/tex]
[tex]\displaystyle x=\frac{-5\pm \sqrt{2425}}{2}[/tex]
There are two solutions:
x = 22.12
x = -27.12
The negative solution is not valid because x is the width of the garden, thus
x = 22.12 m
And
y = 22.12 + 5 = 27.12 m
The width of the garden is 22.12 m and its length is 27.12 m
Is –5 × –5 positive or negative?
Answer:
positive
Step-by-step explanation:
a negative times a negative is always a positive
type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mr. Newman has boxes of soap ftakes for a science experiment. He plots the weight of soap fakes in each box on the line plot
below.
1
+
0
2
Weight of Soap Flakes
in Each Box (lb)
Each X represents 1 box of soap flakes
Mr. Newman will use all of the soap fakes from the boxes to fill bags. He will put $ of a pound of soap flakes in each bag.
How many J-pound bags of soap Makes can Mr. Newman mu?
Reset
Next
Answer:
I am stuck on this problem too. Is it on eacxt path.
Step-by-step explanation:
Use distribute property and simplify
Help me please
Answer:
104
155
180
Step-by-step explanation:
an easy way is to solve what is in the parenthesis then multiply by the outside number
but if you need to use the distributive property:
1. 4 x (20 - -6)
(4 x 20) - (4 x -6) = 80 - -24 = 80 + 24 = 104
2. -5 x (24 - -7)
(-5 x 24) - (-5 x -7) = -120 - 35 = 155
3. 12 x (-30 + 45)
(12 x -30) + (12 x 45) = -360 + 540 = 180
Step-by-step explanation:
must calculate the number in ( ) first before calculate the number in [ ]
- - > +
+ + > +
+ - > -
- + > -
The top walking deck of a ship is 120 ft long. This is only 3/11 of the length of the ship. What is the length of the ship
Answer: 440 ft
Step-by-step explanation:
The top walking deck is 120ft long and yet comprises only 3/11 of the ships total length.
Assuming the total length of the ship is x ft long, the expression would therefore be:
x * 3/11 = 120 ft
The above shows that if x is multiplied by 3/11 it will give a distance of 120ft which is the top walking deck length.
Solving for x:
x * 3/11 = 120
x = 120 ÷ 3/11
x = 120 * 11/3
x = 440 ft
Note: When being divided by a fraction, you can multiply the inverse of the fraction to find the result.
#12) Mara had 5 inches of ribbon. How long is this in centimeters?
Answer:
5 inches is 12.7 centimeters
Answer:
12.7
Step-by-step explanation:
I looked it up.
Here is the link:
i need help plssssssssssssss
Please help due very soon!!
Answer:
The exact value of tan A in simplest form is [tex]tan (A) = \dfrac{9}{40}[/tex]
Step-by-step explanation:
The parameters of the given right triangle are;
The length of the hypotenuse side = 41
The length of the vertical leg of the right triangle = 9
The length of the opposite leg of the right triangle = 40
By trigonometric rule, we have;
[tex]tan (A) = \dfrac{Opposite \ leg \ length \ to \ angle \ A}{Adjacent \ leg \ length \ to \ angle \ A }[/tex]
Therefore, we have;
[tex]tan (A) = \dfrac{9}{40} = 0.225[/tex]
Help me please this already late
Answer:
2(4x-2)+3x*2=8x-4+6x=14x-4=122
14x=126
x=9
Step-by-step explanation:
NEED HELP NOW Angles not necessarily drawn to scale
Answer:
x= 56
Step-by-step explanation:
since angle DF is half a circle it has to = 180 so you subtract 64 from 180 then you subtract 60 from that
Find the length of side x in simplest radical form with a rational denominator
Answer:
2.45
Step-by-step explanation:
Change the picture
Answer:
[tex] x = \sqrt{6} [/tex]
Step-by-step explanation:
[tex] \cos \: 45 \degree = \frac{ \sqrt{3} }{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{ \sqrt{3} }{x} \\ \\ x = \sqrt{2} \times \sqrt{3} \\ \\ x = \sqrt{6} [/tex]
Find the measure of the side indicated
Answer:
D is the right answer
Step-by-step explanation:
x/3=12; Is 4 a possible value for x?
Answer:
No.
Step-by-step explanation:
4 x 3 is 12. 4 divided by 3 cannot be 12.
Hope it helps!
Answer:
No
Step-by-step explanation:
Not possible
4. A garage is 40 feet long by 90 feet wide. If you were asked to make a scale drawing of the garage that has
a scale of 0.5 inch 10 feet, what would the dimensions be?
a. 9 in x 4 in
b, 45 in x 20 in
c. 4.5 in x 2 in
d. 4.55 in x 0.5 in
Answer:
if the scale is .5 inches for every 10 feet the answer is C.
SOMEONE PLEASE DO THIS IM IN MATH CLASS AND I DONT WANT TO GET CALLED ON BC I DONT KNOW THE ANSWER
for A multiply each time(hour) by 65 and when the number of hours doesnt have a number by it divide the pages by 65.
Step-by-step explanation:
Example for the first one multiply 65 by 3 , and for the pages divide 585 by the number you got previously from the # of pages. And also the same for B
32x76x4x-9÷42=?
1=3
2=3
4=4
5=4
6=?
Answer:
32x76x4x-9÷42= 9727
6= 5
I'm not sure...
Answer:
-2084 4/7
Step-by-step explanation:
32×76=2432×4=9728×-9=-87552÷42=2084 4/7
Can someone help I have to hand this in
In a survey of teens, 19% like to volunteer at animal shelters. About how many teens out of 995 would say they like to volunteer at animal shelters?
Answer: 189 teens
Step-by-step explanation:
Given
- There are 19% of teens who like to volunteer at animal shelters
- There are in total 995 teens
Solve
19% × 995= 189.05
189.05≈189 (Since people must be in whole numbers, we need to round)
Hope this helps!! :)
Please let me know if you have any questions
The polynomial x^2-18x+81 represents the area(in square feet) of a square courtyard. Write an expression for the perimeter of the courtyard.
Answer:
4x - 36 feet
Step-by-step explanation:
The area A of a square whose sides are s units is given as
A = s * s
Given that the area A = x^2-18x+81, factorizing
A = x^2-9x-9x+81
A= x(x-9)-9(x-9)
A = (x-9)(x-9)
A = (x-9)^2
This means that the size of each side of the square courtyard is x-9 feet long
Recall that the perimeter P of a square whose side is s long is given as
P = 4s hence since the side of the courtyard is x - 9 feet, the perimeter of the courtyard
P = 4(x-9)
= 4x - 36 feet
3^3x-4=9^x PLS HELPPP
Step-by-step explanation:
[tex] {3}^{3x - 4} = {9}^{x} \\ {3}^{3x - 4} = {3}^{2x} [/tex]
3x - 4 = 2x
3x - 2x = 4
x = 4
Really need help with this ASAP.
Answer:
If DE// to BC, slope of DE= slope of BC
D=([tex]\frac{4+2}{2} ,\frac{6-2}{2}[/tex])
D=(3,2)
E=([tex]\frac{4-2}{2} ,\frac{6-4}{2}[/tex])
E=(1,1)
Slope of DE=[tex]\frac{2-1}{3-1} =\frac{1}{2}[/tex]
Slope of BC=[tex]\frac{-2-(-4)}{2-(-2)} =\frac{1}{2} =[/tex]Slope of DE
∴DE // to BC.
write points (-6,3) and (6, -7) in a) Identify the slope
b) Write the equation in slope-point form
c) Write the equation in slope-intercept form
d) Write the equation in the general form.
HELPPP PLEASE FAST, I REALLY NEED IT
Find the sum 1.56 + 0.083. Show your reasoning
Answer:
1.643
Step-by-step explanation:
1.56 + 0.083
1.56 = 1.560
Starting from the digits the closest to the right, we do
0.003 + 0.000 = 0.003
0.08 + 0.06 = 0.14
so right now we have 0.143
0.0 + 0.5 = 0.5
so now we have 0.643 (because 0.1 + 0.5 = 0.6)
and finally 1 + 0 = 1
so we end with 1.643
The sum of the expression 1.56 + 0.083 is,
⇒ 1.643
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The expression is,
⇒ 1.56 + 0.083
Now, We can simplify as;
⇒ 1.56 + 0.083
Add as;
⇒ 1.643
Thus, The sum of the expression 1.56 + 0.083 is,
⇒ 1.643
Learn more about the addition visit:
https://brainly.com/question/25421984
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How is solving for the length different from solving for the length of the hypotenuse?
help, due tonight, asap, will give brainliest
Answer:
has one solution which is 2
Step-by-step explanation:
Could someone help with this pls?
Answer:
61
Step-by-step explanation:
Because all triangles's angles sum is always equal to 180, we can establish the equation, (9x - 31) + (7x - 2) + (4x + 33) = 180.
Simplifying, we get;
9x - 31 + 7x - 2 + 4x + 33 = 180
20x = 180
x = 9.
So, angle DCE = 7x - 2 = 7 * 9 - 2 = 63 - 2 = 61
HURRY PLEASE
Evaluate the expression when y=4.
-10 – 6y =
Help me plzz and It's continue of math
Homework: Compound Probability (Without Replacement)
3.) A box of chocolates contains four milk chocolates and six dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. The first piece is milk chocolate and the second piece is dark chocolate.
4/15, 5/18, 5/22, 3/110
4.) There are four nickels, five dimes, and five quarters in your pocket. You randomly pick three coins and place them on a counter. The first two coins are dimes, and the third is a quarter.
1/4, 10/39, 25/546, 25/572
Answer: I only answered number 3
Step-by-step explanation: Jenni has a box of chocolates. The box contains 6 plain, 4 milk and 5 white chocolates.?
Jenni takes 2 chocolates at random from the box. Work out the probability that at least 1 of these chocolates will be milk chocolate.
At 9AM a train traveling 60 miles per hour leaves Los Angeles for San Francisco, a distance of 400 miles. At noon a car traveling at an average speed of 40 miles per hour leaves San Francisco for Los Angeles. At what time will the two vehicles pass each other?
ANSWER PLS
Answer is in the picture:
At 2:02 PM the two vehicles pass each other.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given thta,
Los Angeles to San Francisco:
rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs
San Francisco to Los Angeles:
rate = 40 mph ; distance = 400-x ; time = d/r = (400-x)/40 hrs
So, equation is
x/60 = (400-x)/40 + 3
x/60 = (400-x)+120/40
40x = 60[(400-x)+120]
40x=24000-60x+7200
100x=31200
x=312 miles
Now, time = 312/60
= 5.2 hours
Clock time = 9+5.2
= 14.2 hours
= 2:02 PM
Therefore, at 2:02 PM the two vehicles pass each other.
To learn more about the speed, distance, and time visit:
brainly.com/question/4978052.
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Which points are a solution to the equation y = 5x - 4?
Select ALL correct answers.
A. (0,-4)
B. (1,-1)
C. (2,6)
D. (3, 11)
E. (4, 6)
Answer:
The answer are
(0,_4)
(2,6)
(3,11)
How many 1/8
are in 25? What
multiplication equation can you use
to check your answer?
The number of 1/8s which are in 25 as required to be determined is; 200.
What is the number of 1/8s in 25?It follows from the task content that the number of 1/8s in 25 as required in the task content is to be determined.
It follows from arithmetic principles that the number of 1/8s in 25 can be determined by evaluating; 25 ÷ 1/8
= (25 × 8) / 1
= 200.
Therefore, the number of 1/8s in 25 is; 200.
Also, if the number of 1/8s in 25 is to be determined; the multiplication equation to check the answer is; 1/8 × 200 = 25....which holds true.
Read more on division of fractions;
https://brainly.com/question/24247039
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