Answer:
3 feet
Step-by-step explanation:
The diagram showing the pool and the walkway has been attached to this response.
The area of the pool = 15feet x 17 feet = 255 square feet
The total area of the pool and the walkway = 483 square feet
The area of the walkway is the difference between the total area and the area of the pool. i.e
Area of walkway = total area - area of pool
Area of walkway = 483 - 255 = 228 square feet
Now, from the diagram, the walkway can be seen as four rectangles - A, B, C and D - all with a width of x.
Area of rectangle A = (17 + 2x) * x = 17x + 2x²
Area of rectangle B = (17 + 2x) * x = 17x + 2x²
Area of rectangle C = 15 * x = 15x
Area of rectangle D = 15 * x = 15x
Area of walkway = Area of rectangle A + Area of rectangle B + Area of rectangle C + Area of rectangle D
228 = [17x + 2x²] + [17x + 2x²] + [15x] + [15x]
228 = 64x + 4x²
4x² + 64x - 228 = 0
Divide through by 4
x² + 16x - 57 = 0
Now let's solve the quadratic equation:
x² - 3x + 19x - 57 = 0
x(x - 3) + 19(x - 3) = 0
x - 3 = 0 or x + 19 = 0
x = 3 or x = -19
Since width cannot be negative, the correct solution is x = 3
Therefore, the width of the walkway is 3 feet
Sandy ran 3/8 of a mile in 3/4 at this rate how far did she run
Answer:
she ran 1 1/8 miles
4 rational numbers that are not whole Numbers
Answer:
see below (I hope this helps!)
Step-by-step explanation:
Whole numbers are the integers that are greater or equal to 0. Basically, they are 0, 1, 2, 3....
Rational numbers can be written in the form a / b (where b ≠ 0 and a and b are integers (integers are ..., -1, 0, 1, ...))
Therefore, 4 rational numbers that are not whole numbers could be -5, -1, 0.5, and 3/4.
The sum of 20 numbers is 9. If each number were to be increased by 0.03, what is the sum of the 20 numbers in the end
Given that :-
Sum of 20 numbers is 9
To find
Sum of these numbers after increasing each number by 0.03
Solution :-
→ We have to increase each number by 0.03. It means that we have to add 20 times 0.03.
→ So the increase in sum of number will be 20(0.03)
→ 20(0.03) = 0.6
→ Earlier sum was 9.
After increase oof 0.6 new sum is 9+0.6
Answer is 9.6
Find the length of AC¯¯¯¯¯¯¯¯ A. 36.5 B. 46.97 C. 74.63 D. 45.07
Answer:
[tex]a \: 36.5[/tex]
Step-by-step explanation:
cos51° = AC/58
AC = cos51° x 58
AC = 36.5
Answer:
The answer is option AStep-by-step explanation:
Since the figure above is a right angled triangle we can use trigonometric ratios to find AC.
To find AC we use cosine
cos∅ = adjacent / hypotenuse
From the question
AC is the adjacent
AB is the hypotenuse
So we have
[tex] \cos(51) = \frac{AC}{AB} [/tex]
[tex]AC = 58 \cos(51) [/tex]
AC = 36.5Hope this helps you
Adding and subtracting
(6x²)-(2x)
Answer:
[tex]\huge \boxed{{2x(3x-1)}}[/tex]
Step-by-step explanation:
[tex](6x^2)-(2x)[/tex]
Apply rule : [tex]-(a)=-a[/tex]
[tex]6x^2-2x[/tex]
The expression cannot be simplified further.
Factor out 2x from the expression.
[tex]2x(3x-1)[/tex]
Answer:
[tex](6x {}^{2}) - (2x)[/tex]
Remove unecessary parentheses[tex]6x {}^{2} { - 2x}[/tex]
Solution
[tex]6x {}^{2} - 2x [/tex]
What is the smallest integer n such that 5n + 3 > -10
Answer:
[tex]solution set={n/n > -13/5}[/tex]
Step-by-step explanation:
[tex]5n + 3 > -10\\subtracting 3 on both sides\\5n + 3-3 > -10-3\\5n > -13\\n > -13/5 is the answer[/tex]
hope it will help :)
Isolate n:
5n + 3 > -10
Subtract 3 from both sides:
5n > -13
Divide both sides by 5:
n > -13/5
n > -2.6
An integer is a whole number, so the smallest whole number that would make the statement true would be -2:
5(-2) + 3 = -10 +3 = -7
5(-3) + 3 = -15 + 3 = -10
Since -7 is greater than -10, the answer is -2
Hello please help me
Idk if the answer is 16 or 19
4 - 16 ÷ 4 + 4²
According to the diagram, point B lies on how many faces of the pyramid? three one two four
Answer:
it lies on 4 faces hope it helps
Answer:
The answer is four.
Step-by-step explanation:
Draw the graph of the equation 2x+5y=13
Answer:
slope= -2/5 y intercept= 13/5
Step-by-step explanation:
1. convert to slope-intercept form form
2. 5y= -2x+13
3. y= -2/5x+ 13/5
4. The slope is -2/5 and your y intercept is 13/5
5. Now you can graph it and rember your slope is rise/run or change in y/ change in x.
solve by showing work -15 - (-12)
Answer:
-3
Step-by-step explanation:
-15 - (-12) = -15 + 12 = -3
help me please :( i will give brainly ;))
Step-by-step explanation:
a) Distance between Aranville t o Bowtown = 24 miless
b) Bowtown and Dovebury are furthest apart.
c) Toatl distance = 20 + 37 = 57 miles
Find the volume of the rectangular prism. 9 ft 9 ft 9 ft
Answer: 729
Assuming each unit is L x W x H, 7 x 7 x 7 = 729, so thats the volume.
A pair of supplementary angles in ratio of 4:5.find them here
Answer:
one angle 100
another angle=80
Step-by-step explanation:
supplementary angles =180
4x+5x=180
9x=180
x=180/9=20
one angle=5x=5(20)=100
another angle=4x=4(20)=80
100+80=180
Answer:
[tex] \boxed{ \boxed{ \bold{ \purple{80 \: , 100}}}}[/tex]Step-by-step explanation:
Let the ratios be 4x and 5x
[tex] \sf4x + 5x = 180[/tex] ( sum of supplementary angle )
Collect like terms
⇒[tex] \sf{9x = 180}[/tex]
Divide both sides of the equation by 9
⇒[tex] \sf\frac{9x}{9} = \frac{180}{9} [/tex]
Calculate
⇒[tex] \sf{x = 20}[/tex]
Value of x = 20
Now, let's replace the value,
⇒[tex] \sf4x = 4 \times 20 = 80[/tex]
⇒[tex] \sf5x = 5 \times 20 = 100[/tex]
Hope I helped!
Best regards!!
-1 7/8 times 2 9/10
I’m stuck on this any help?
Answer:
Exact form: -87/16
decimal from -5.4375
mixed number form -5 7/16
Step-by-step explanation:
I'ma god at math
slope.
31) through:(-1,-4). slope = -9
Please help
Answer:
Step-by-step explanation:
y + 4 = -9(x + 1)
y + 4 = -9x - 9
y = -9x - 13
Is 2.3454128904 irrational
Answer:
yes
Step-by-step explanation:
irrational numbers are the numbers which cannot be written as simple fractions
Pls help me ooo Pls it's urgent : Solve:a-(7-a)=5
Answer: a=6
Step-by-step explanation:
a-(7-a)=5
a-7+a=5
2a-7=5
2a=12
a=6 :)
Answer:
[tex]\Huge \boxed{a=6}[/tex]
Step-by-step explanation:
[tex]a-(7-a)=5[/tex]
We need to isolate the [tex]a[/tex] variable on one side of the equation to find the value.
Distribute the negative sign.
[tex]a-7+a=5[/tex]
Combine like terms.
[tex]2a-7=5[/tex]
Add 7 to both sides of the equation.
[tex]2a=12[/tex]
Divide both sides of the equation by 2.
[tex]a=6[/tex]
A positive two-digit number is written at random. Determine the probability that the number will be at least 75. Please put answer in the form of a fraction.
Answer:
5/18
Step-by-step explanation:
Positive two-digit numbers are:
Numbers in 10 - 99 intervalTotal two-digit numbers:
99 -9 = 90Number of two-digit numbers ≥ 75:
99 - 74 = 25Probability that the number is at least 75:
25/90 = 5/18Answer is 5/18
Solve for q 3(q+4/3)=2
Answer:
q = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
3(q + [tex]\frac{4}{3}[/tex] ) = 2 ← distribute left side
3q + 4 = 2 ( subtract 4 from both sides )
3q = - 2 ( divide both sides by 3 )
q = - [tex]\frac{2}{3}[/tex]
Jacques determines the remainder of −17x53+12x9−5x2−11x+1, using the remainder theorem. How does he proceed to the correct answer? A- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11. B- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −21. C- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −11. D- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −21.
Answer:
Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11.
Step-by-step explanation:
Got 100% on the test.
A roof of the house including its base is in the shape of right prism with a
triangular base with the dimensions shown.
What is the approximate surface area of this prism?
The required surface area of given triangular prism is 391.2 cm².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
In the figure,
From the figure,
length = 14 cm
height = 6.9 cm
base = 8 cm
Surface area of the prism = bh + 3bl
Surface area of the prism = 8×6.9 + 3×14×8
= 391.2 cm²
Thus, the required surface area of given triangular prism is 391.2 cm².
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ5
Answer: 391.2
Step-by-step explanation:
Let me know if im wrong and ill change the answer
is 112 between 10 and 11?
Graph 2 + 3y = 6. Please hurry
Answer:
Step-by-step explanation:
A ship is 5 miles east and 2 miles north away
from port and then it is 3 miles east and 8
miles south away from port. Write the linear
model algebraically.
I need help ASAP please
Answer:
Step-by-step explanation:
A ship is 5 miles east and 2 miles north away
from port and then it is 3 miles east and 8
miles south away from port. Write the linear
model algebraically.
I need help ASAP please
Find the value of x. A. 15 B. 28 C. 20 D. 40
Answer:
A. 15
Step-by-step explanation:
When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Hence,
(2x + 15)° = 1/2[(10x + 20)° - 80°]
2(2x + 15)° = (10x - 60)°
4x + 30 = 10x - 60
60 + 30 = 10x - 4x
90 = 6x
90/6 = x
15 = x
x = 15
is 91.7% rational or irrational
Answer: Hi! 91.7% is a rational number. Because...
Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!
Please Help: 0.125r - 0.0625 + 0.25r = 0.25 + r
Answer:
r=0.5
Step-by-step explanation:
0.125r+0.25r-0.0625=0.25+r
0.375r-0.0625=0.25+r
0.375r-r=0.25+0.0625
-0.625r=0.3125
r=0.3125/0.625
r=0.5
Help on Answering number four and please check my answers!
Answer:
→BA
→CD
Step-by-step explanation:
We have points
← A B C D →
We have →BA
which is a ray going to the left
and
→CD
which is a ray going to the right
If:
AC=26,
BC=7x + 2, and
AB = 9x + 8
Find BC!
Answer:
BC = 9
Step-by-step explanation:
Given AC = 26
BC=7x + 2
AB = 9x + 8
Since BC and AB are two parts of AC. Therefore we can write in the following form.
AC = AB +BC
Now insert the given values in the above formula.
26 = 9x + 8 + 7x + 2
26 = 16x + 10
26 – 10 = 16x
16 = 16x
x = 16 / 16
x = 1
Now insert x = 1 in BC=7x + 2
BC = 7 (1) + 2
BC = 9
Mr. Rush wants to store 20.5 cups of spaghetti sauce in containers. Each container holds a maximum of 2.5 cups of sauce. What is the minimum number of containers Mr. Rush needs to hold all of the spaghetti sauce? 1 point
The answer is 9
Explanation:
We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.
20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers
This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)