A 100 m2hay shed is to be extended to give 475 m2of oor space in total, as shown. All angles are right angles. Find the value of x.
Answer:
[tex]x = 15.[/tex]
Step-by-step explanation:
Given
See attachment for floor space
Required
Find x
The floor can be partitioned into three space.
The dimension and the area of each space is:
Dimension: 10 by 10
[tex]A_1 = 10* 10 = 100[/tex]
Dimension: 10 by x
[tex]A_2 = 10* x = 10x[/tex]
Dimension: x by x
[tex]A_3 = x* x=x^2[/tex]
So, the total area is:
[tex]Area =100 +10x + x^2[/tex]
Given that:
[tex]Area = 475[/tex]
So, we have:
[tex]100+10x+x^2 =475[/tex]
Rewrite as:
[tex]x^2 +10x+100-475=0[/tex]
[tex]x^2 +10x-375=0[/tex]
Expand
[tex]x^2 + 25x -15x -375 = 0[/tex]
Factorize
[tex]x(x + 25) -15(x +25) = 0[/tex]
Factor out x + 25
[tex](x+25)(x-15)=0[/tex]
Solve:
[tex]x = -25\ or\ x = 15[/tex]
x cannot be negative; So:
[tex]x = 15.[/tex]
if 4/5x - -3/4=0 then x=
Determine the surface area of the shape below.
Try this option:
1. the required surface area consists of: A=A₁+A₂+A₃, where
2. A₁=pi*r*l - the surface of the cone:
pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);
A₁=3.14*2*6.33=39.74 (cm²).
3. A₂=a²-pi*r² - the surface of the top plane:
A₂=36-3.14*4=23.43 (cm²).
4. A₃=5*a² - the surface of the five planes of the given cube:
A₃=5*6²=180 (cm²).
5. the required area:
A=39.74+23.43+180=243.17 (cm²).
Answer: 243.17
Find the volume of the cylinder. Use 3.14 for π. Round to the nearest tenth.
Answer:
62.8 m^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = (3.14) ( 2)^2 *5
V = 62.8 m^2
Answer:
V = 62.8 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 2 cm
h = 5 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(2 cm)²(5 cm)Evaluate exponents: V = (3.14)(4 cm²)(5 cm)Multiply: V = (12.56 cm²)(5 cm)Multiply: V = 62.8 cm³US
Find the median of the data.
The number of boys per classroom.
9, 2, 8, 6, 12, 2
Median: [?] boys
Enter the number that belongs in the green box.
Enter
Answer:
7 boys
Step-by-step explanation:
We must find the median of the data given. A median is the "middle number" of a set of numbers ordered in increasing value.
Step 1, ordering the numbers:
We will start by ordering the numbers from smallest to largest. We have:
2, 2, 6, 8, 9, 12
Step 2, finding the "middle number":
Well...notice how there is an even amount of numbers in the data set. We can't exactly find one "middle number". We can however, narrow the list down to two "middle numbers."
We have 6 and 8.
Step 3, taking the average:
To find the median, we will take the average of the two "middle numbers."
[tex]\frac{6+8}{2} =\\\frac{14}{2}=\\\fbox{7}[/tex]
The median is 7 boys.
I hope this helps! Let me know if you have any questions :)
11
Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
yavariable, and what is the solution for this system?
x + 3y - 42
2x-y-14
OA. Multiply the second equation by-3. The solution is x = 12. y - 9.
ов.
Multiply the second equation by-2. The solution is x-12. y = 10.
OC.
Multiply the second equation by 2. The solution is x - 15, y = 9.
OD
Multiply the second equation by 3. The solution is x - 12. = 10.
Reset
Next
Answer:
D. Multiply the second equation by 3. The solution is x = 12, y = 10
Step-by-step explanation:
Given:
x + 3y = 42 (first equation)
2x - y = 14 (second equation)
To solve by elimination, starting with elimination of the y-variable, multiply the second equation by 3 to get a third equation.
2x - y = 14 (2nd eqn.) × 3
6x - 3y = 42 (3rd equation)
Add the 3rd equation and the 1st equation together.
x + 3y = 42 (first equation)
6x - 3y = 42 (3rd equation)
7x = 84
7x/7 = 84/7
x = 12
To find y, substitute x = 12 in the first equation
x + 3y = 42 (first equation)
12 + 3y = 42
12 + 3y - 12 = 42 - 12
3y = 30
3y/3 = 30/3
y = 10
Solution is x = 12, y = 10
What is the image point of (4, -6) after a translation right 5 units and
up 4 units?
Answer:
Coordinate point of the image is (9, -2)
Step-by-step explanation:
In the coordinate point (4, -6);
=> x-value = 4
=> y-value = -6
We know that the translation of;
=> 5 units right would add 5 to the x-value
(x) + 5 = (4) + 59 <= This is the x-value of the image being created by the translation.=> 4 units up would add 4 to the y-value
(y) + 4 = (-6) + 4-2 <= This is the y-value of the image being created by the translation.Therefore the answer; (x, y) => (9, -2)
Hope this helps!
Keelie has a triangular-shaped card. The lengths of its sides are 4.4 cm, 5.5 cm, and 6.6 cm. Is the card a right triangle?
Answer:
No
Step-by-step explanation:
We can use the Pytaghorean theorem to verify it
4.4^2 + 5.5^2 = 6.6^2
19.36 + 30.25 = 43.56
49.61 = 43.56 (false)
A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
What is the shape of the cross-section?
square
rectangle that is not a square
triangle
parallelogram that is not a rectangle
Answer:
B
Step-by-step explanation:
a rectangle that is not a square
The plane will be rectangular which is not a square. Then the correct option is B.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
Let a be the side length of the cube.
The length of the rectangular plane will be
L² = a² + a²
L = a√2
Then the dimension of the plane is 'a' and 'a√2' units.
The plane will be rectangular which is not a square. Then the correct option is B.
More about the rectangle link is given below.
https://brainly.com/question/10046743
#SPJ2
Which of the following functions best describes this graph?
A. Y = (x-3)(x + 4)
B. y = x^2-5x +6
C. y = x^2 -9x+18
D. y - (x+3)(x +6)
Answer:
(A). y = ( x - 3 ) ( x + 4 )
Step-by-step explanation:
A teacher writes four numbers on the board as shown blow
1
0
4
3
She asked the students to form 4-digit number, and subtract from 4310.
Write two possible solutions
Answer:
909 and 3267
Step-by-step explanation:
There are a total of 24 possible combinations using these 4 digits. This means that any one of these combinations subtracted from 4310 would be a possible solution. Therefore, we can create the following 2 combinations (below in bold) and subtract them from 4310 to get two possible solutions...
4310 - 3401 = 909
4310 - 1043 = 3267
Finally, we have two possible solutions which would be 909 and 3267
what is 4:6 as a percentage
Answer:
66.6667%
Step-by-step explanation:
find the x-coordinate of the vertex of the function given below. y = x^2 + 12x + 21
Answer:
(-2,13;-0,02)
and
(-9,87;-0,02)
Lily bought a car for $13500. She paid for it in 36 equal monthly payments. Calculate the amount she paid each month.
Answer:
$375
Step-by-step explanation:
$13,500÷36=$375
Hope this helps! :)
Answer:
375Step-by-step explanation:
13500 divided by 36
Marco needs to climb up to the roof of his house. He placed his ladder so that the bottom of
the ladder was 4 feet away from the wall. If his ladder was 13 feet long, how high up was the
top of the ladder against the wall of the house? Round your answer to the nearest tenth.
Answer:
12.4 feet
Step-by-step explanation:
A ladder placed against the wall forms a right angle triangle
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 13 feet
Opposite = 4 feet
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
13² = 4² + x²
169 = 16 + x²
169 - 16 = x²
153 = x²
Find the square root of both sides
√153 = √x²
12.369316876852 = x
x = 12.4 feet
Adjacent = x = 12.4 feet
Write and solve the equation for the following situation:
Angles 1 and 2 are complementary. The measure of angle 1 is 16° larger than the measure of angle 2.
A.) x + 16 = 90
B.) x + (x + 16) = 90
C.) 2x + 16 = 90 (NOT CORRECT)
D.) x + 16 = 180
WILL GIVE BRAINLIST
Answer:
B.) x + (x + 16) = 90
2x+16=90
2x=90-16
x=74/2
x=37
2 + (-25) =?
NO LINKS OR I WILL REPORT!! 10 POINTS PLEASE ANSWER!
Answer:
-23
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
When you do positive-negative you subtract the 2 numbers then take the sign of the number that had the highest absolute value.
25-2=23
The absolute value of -25 is 25
(|-25| = 25)
And the absolute value of 2 is 2
(|2| = 2)
25 > 2
So it would be -23
Use the x-coordinates A and C to calculate AC without counting
If d = -3 what is the value of 15 - 3d ?
Answer:
24
Step-by-step explanation:
15 - 3d
Let d = -3
15 - 3(-3)
Multiply
15 +9
Add
24
Answer:
24
Step-by-step explanation:
15 - 3d
* plug in -3 *
15 - 3(-3)
simplify -3(-3)
-3(-3) = + 9
add
15 + 9 = 24
What is the Answer???
Answer:1 min
Step-by-step explanation:
What is organic chemistry??
State which, if any, triangles are similar and why.
Answer is the last one: Yes because ABC and GFC are similar using AA
Lemme know if you need an explanation! :]
Answer:
yup its d
Step-by-step explanation:
just took the test and it was right
Which expression results in the smallest difference?
A.
B.
C.
12.5 - 3.1
12.5 -0.31
12.5 -0.031
D.
12.5 -0.0031
What equals 394 in addition
Answer:
There are many answers
Step-by-step explanation:
393 + 1 = 394
392 + 2 = 394
391 + 3 = 394
And so forth...
Hope this helps :)
At the market you can buy 5 bags of apples for $23.60. At the farm you can buy 7 apples for $32.76. Which is the better deal
Answer:
Market
Step-by-step explanation:
Market : 5 bags = $23.60
Farm : 7 apples = $32.76
Market = $23.60 ÷ 5
= $4.72 each BAG
Farm = $32.76 ÷ 7
= $4.68 each APPLE
Thus, market is the better deal because you will get 5 bags of apple for $4.72 for each bag.
please help with number 53!!!!
pretty please
Answer:
The sequence would be arithmetic. This is because an arithmetic sequence has a common number multiplying, adding, subtracting etc. The common rule for this set of numbers was x5. 9x5=45, 45x5=225 etc. We simply used this method with negative numbers, but the rule was still multiplying.
Happy learning!
--Applepi101 :)
Answer:
Arithmetic
Step-by-step explanation:
It has a constant difference between each number whilst Geometric usually has the same difference between each number
20 POINTS!!!!
Recall that the multiplicative inverse of a number a is the number b such that ab = 1. For example, the multiplicative inverse of 3 is . Also recall that division is multiplication by a number’s multiplicative inverse. For example, to divide by 3, just multiply by . With these definitions, use complete sentences to explain why we can’t divide by zero.
Need help please!!!!!!!
Answer:
7833
Step-by-step explanation:
4896(on country)+2937(outside country)=7833 in total
this is all the information in the question
If f(x)=x^+5x+2, find (-4) A) 34 B) -2 C) 38 D) -6
Answer:
f(-4)= -2
Step-by-step explanation:
f(x)=x^2+5x+2 find(-4)
replace x= -4 in function
f(-4) = (-4)^2+ 5*-4+2
= 16 -20 +2
= 18-20
= -2
Identify the correct equation that matches the graph.
Answer:
I don't know either B or D ........
Answer:
A, y=1/4x+2
Step-by-step explanation:
All of the equations are the same except forthe slope. Look at the points where the line crosses the points, I chose (0,2) and (4,3). The line goes up one and over four from the first point to the second point. Since it’s rise over run, up and over, it’s 1/4x