Answer:
12.5 bagsStep-by-step explanation:
This problem is on the mensuration of flat shapes
Given
perimeter of lawn = 278 ft
width of lawn = 64 ft
1. we need to solve for the length of the lawn
2. we also we need to solve for the area of the lawn
perimeter of lawn= 2(width) + 2(length)
substituting our data we have
let the length be x
[tex]= 278= 2(64) + 2(x)\\\=278= 128+2x\\\=278-128= 2x\\\=150=2x\\\\\x=\frac{150}{2} \\\x= 75ft[/tex]
the length is 75 ft
the area of the lawn is [tex]75*64= 4800ft^2[/tex]
if a bag will cover[tex]384ft^2[/tex]
to cover the lawn we will need
[tex]\frac{4800}{384} \\=12.5 bags[/tex]
PLEASE HELP ME OUT!
Wright (3+4i)+(8+2i) as a complex number in standard form
Answer:
11 +6i
Step-by-step explanation:
(3+4i)+(8+2i)
Add the real portions
3+8 = 11
Add the imaginary portions
4i+2i = 6i
The complex number in a+bi form is
11 +6i
Answer:
[tex] = 11 + 6i[/tex]
Step-by-step explanation:
[tex](3 + 4i) + (8 + 2i) \\ 3 + 4i + 8 + 2i \\ = 11 + 6i[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I need these so i don't fail.
1.Given the points (−2,5)and (6,−1)the midpoint is? 2.Given the points (9,−4)and (−5,2)the midpoint is ? 3.Given the points (−2,−5)and (−6,7)the midpoint is?
I need the midpoints.
Answer:
1) (2,2)
2) (2,-1)
3) (-4,1)
Step-by-step explanation:
At the city museum, child admission is $5.20 and adult admission is $9.10 . On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $631.80. How many child tickets were sold that day?
Answer:
54 adult tickets and 27 child ticket
54×9.10+5.20×27=631.80
419.4+104.4=631.80
631.80=631.80 ( so it's the answer)
Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 5/5+√10x
Answer:
The equivalent fraction is: [tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]
which agrees with the second answer in the list of options
Step-by-step explanation:
Recall that in order to rationalize a denominator of this type (remove the square roots), we need to multiply numerator and denominator of the fraction we have by the conjugate of the binomial. That is, multiply top and bottom of the fraction by the expression:
[tex]5-\sqrt{10\,x}[/tex]
Therefore we have:
[tex]\frac{5}{5+\sqrt{10\,x} } =\frac{5\,(5-\sqrt{10x} )}{(5+\sqrt{10\,x})\,(5-\sqrt{10x})} =\frac{5\,(5-\sqrt{10x} )}{(25-10x)} }=\frac{5\,(5-\sqrt{10x} )}{5\,(5-2x)} }=\frac{5-\sqrt{10x} }{5-2x} }[/tex]
Then this is the equivalent rationalized expression:
[tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]
Answer:
B.
Step-by-step explanation:
A P E X
Given the points (-2,-4) and (-3,-5) what is the slope
Answer:
1/1
Step-by-step explanation:
What is the solution to the system of equations graphed below?
y= 3/2x+2
y=-6x+ 32
Answer:
(4,8)
Step-by-step explanation:
The solution is where the two lines intersect.
The graphs intersect at x=4 and y = 8
(4,8)
Answer: B: (4,8)
Step-by-step explanation:
y = 3x +2 you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.
y = -6x + 32
you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1
A high square prism has a length L and width W units. if its height is H Units long the find the lateral surface area of the prism .
Answer:
2(L+W)H
Step-by-step explanation:
The lateral surface area of a prism is the total of the area of the faces.The lateral area of the prism is equal to the perimeter of the base times the altitude.Surface area= 2(L+W)H
the one who answered it first will be marked brainliest and with correct sollutio and working
Answer:
2.375m
Step-by-step explanation:
Length of box = 8 m
Width of box = 3 m
Height of box = 2.4 m
It initially contains water of volume 37 m³. 20 m³ of water is added to it.
So, New volume = 37+20 = 57 cubic m
Volume of water = Length \times Width \times Height = 8 \times 3 \times Height
So, 8 x 3 x height = 57
Height = 57/ 8x3
Height =2.375 m
hence the depth of the water in the through after 20 m³ of water is added to it is 2.375m
perform the indicated operation 5/11 + 9/11
Answer:
It would be 14/11
when you make it a mixed number, it'll be 1 3/11
Step-by-step explanation:
You can't simplify it more than 3/11 so
1 3/11
Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate? Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%? Explain.
Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.
Step-by-step explanation:
From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.
Interest = (Principal × Rate × Time)/100
630 = (4200 × R × 3)/100
630 = 12600R/100
12600R = 630 × 100
12600R = 63000
Interest rate =63000/12600 = 5%
Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?
Interest = (Principal × Rate × Time)/100
Interest = (4200 × 6 × 4)/100
= 100800/100
= $1008
At the end of 4 years, Joshua will have:
= $4200 + $1008
= $5208
Yes it's possible.
A student is given three triangles and must determine which triangles are
congruent. The student is also told that C = D = Y. Which of the
following statements is true? Justify your answer.
Answer:
the answer is B, because triangle BCA is a rotation of triangle XYZ.
Step-by-step explanation:
If x = 2 and y = 4, then (2x + 3y) ÷ 4 - 2 =
A) 10
B) 9
C) 8
D) 2
WILL MARK BRAINLIEST
Answer:
Answer is option d) 2
Step-by-step explanation:
[tex]given \: that \: x = 2 \: \: \: and \: \: \: y = 4 \\ value \: of \: \frac{2x + 3y}{4} - 2 \\ = \frac{2(2) + 3(4)}{4} - 2 \\ = \frac{4 + 12}{4} - 2 \\ = \frac{16}{4} - 2 \\ = 4 - 2 \\ = 2[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
For the given expression (2x + 3y) ÷ 4 - 2, If x = 2 and y = 4, the value of expression is, 2
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression, (2x + 3y)/4 - 2
The value of expression, when x = 2 and y = 4
⇒ (2×2 + 3×4)/4 - 2
⇒ (4+12)/4 -2
⇒ 16/4 - 2
⇒ 2
Hence, the value of expression is 2
To know more about Expressions check:
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what is the definition for congruent arcs
Answer:
"If two arcs are both equal in measure and they're segments of congruent circles, then they're congruent arcs"
Step-by-step explanation:
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera
8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to
monitor every customer who enters and exits the store. At want angle of depression should
Harry set the camera to capture the faces of all customers? Use a diagram and
mathematical calculations to help you explain your answer.
Answer: The angle of depression would be 26.57°
Step-by-step explanation: Please refer to the attached picture for further details.
What harry has done has effectively led to the formation of a right angled triangle. As shown in the diagram, the camera has been mounted at a height of 8 feet above the ground. Also he mounts the camera at a horizontal from the entrance, which puts the camera at 16 feet away from the entrance (not from the ground). In order to capture every movement at the entrance, the camera range would be determined by an angle which covers everything from top to bottom of the entrance. That gives you the angle of depression which is at the point labelled CAMERA in the triangle.
Having determined two sides and an angle (unknown) in a right angled triangle, we shall use the trigonometric ratios as follows;
Tan ∅ = Opposite/Adjacent
Where the opposite is 8 (side facing the reference angle) and the adjacent is 16 (side that lies between the reference angle and the 90 degree angle)
Tan ∅ = 8/16
Tan ∅ = 0.5
By use of a calculator,
∅ = 26.5650
∅ ≈ 26.57
Therefore the angle of depression of the surveillance camera should be 26.57°
in your own words what is a polygon
Step-by-step explanation:
A polygon is a shape with at least three straight lines and angles
Find the value of x (3x-9) (x + 7)
Answer:
x=-3 and x=-7
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
i just took the test, its 23
In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four winners, each of the winners would receive $ 540,000. How many winners are there if everyone has $ 144,000?
a) 12 winners
b) 15 winners
c) 16 winners
d) 18 winners
( if your doing this can you please do it step by step )
Answer:
b) 15 winners
Step-by-step explanation
if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.
(2,160,000/ 144,000)
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
12 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 6 so the radius is d/2 = 6/2 = 3
108 pi = pi (3)^2 h
108 pi = 9pi h
Divide each side by 9pi
108 pi /9pi = 9pi h/9pi
12 = h
Answer:
12cm in height
Step-by-step explanation:
What proportion results in the equation 9 m = 10 n?
Answer:
it might come from 9/n = 10/m
Answer:
9/m=10/n
Step-by-step explanation:
help please thank you
[tex]answer \\ 187 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Finn's pool leaked a total of 3.5 liters in 4 days. What rational number represents the average change in water volume each day?
Answer:
The rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
Step-by-step explanation:
Rational numbers are those that can be represented as the quotient of two integers. That is, rational numbers can be represented by a fraction [tex]\frac{a}{b}[/tex], where a is the numerator and b is the denominator that must be other than zero. To express the set of these numbers, mathematicians use a capital Q.
In this case we know that Finn's pool leaked a total 3.5 L in 4 days, so the rate can be written as:
[tex]\frac{3.5 liters}{4 days}[/tex]
Now you must make this division or quotient, where the denominator will be 1 because you must know the number of liters drained per day:
[tex]\frac{3.5 liters}{4 days}=\frac{0.875 liters}{1 day}[/tex]
So the rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the redius of the bubbles is about 0.7 mm. According to the formula below, what would be the volume of one of these bubbles?
Answer:
0.267[tex]mm^3[/tex]
Step-by-step explanation:
Radius of the Bubble = 0.7 mm
Volume of the bubble is given by the formula :
[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]
Taking cube on both sides
[tex]V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3[/tex]
how do i simplify 7(1+6x)
Answer:
7+42x
Step-by-step explanation:
7(1+6x)
Distribute
7*1 + 7*6x
7+42x
Answer:
7 + 42x
Step-by-step explanation:
Use the distributive property
7 + 42x
Find the length of the third side to the nearest tenth.
5
1
Answer:
square root of 26 (sorry couldn't get the symbol)
Step-by-step explanation:
C^2 = A^2 + B^2 (Pythagoras Theorem)
C^2 = 5^2 + 1^2
C^2 = 26
take square root of both sides
C =
[tex] \sqrt{26} [/tex]
Simplify the following fraction: 400/4400
Answer: 1/11 is the simplified form...
Hope this helps, stay safe :D
Answer:
1/11
Step-by-step explanation:
divide top and bottom by 100 = 4/44
divide top and bottom by 4 = 1/11
Geometric mean is used to determine the scale of objects.
False
True
A circle with center (-1, 2) and radius of 8 has the equation
Answer:
c)
Step-by-step explanation:
The equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64. Then the correct option is D.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
A circle with center (-1, 2) and radius of 8.
Then the equation of the circle will be
(x – h)² + (y – k)² = r²
(x + 1)² + (y – 2)² = 8²
(x + 1)² + (y – 2)² = 64
Thus, the equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64.
Then the correct option is D.
Learn more about the equation of a circle here:
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Help idk how to do this
Answer:
y = 62°
Step-by-step explanation:
z represents the mid segment of the triangle.
Since, midsegment is parallel to the third side of the triangle.
[tex] \therefore \: y = 62 \degree...(correspnding \: \angle s) \\ [/tex]
Question 9
1) Which number is a rational number?
134
49
9
13
2
16
Answer: all of them
Step-by-step explanation:
Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.