Answer:
2.5in
Step-by-step explanation:
Given parameters;
Base = 4.5inches
Height = 6inches
Area = 21in²
Unknown:
b₂ = ?
Solution:
Formula for finding the area of a trapezium;
A = [tex]\frac{1}{2}[/tex][tex](b_{1} + b_{2} )[/tex] x h
Input the parameters and solve for b₂;
21 = [tex]\frac{1}{2}[/tex][tex](4.5+ b_{2} )[/tex] x 6
21 = 3(4.5 + b₂)
21 = 13.5 + 3b₂
21 - 13.5 = 3b₂
b₂ = 2.5in
................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Answer:
1.)47.022
2.)8.032
3.)2.436
4.)61.92
Step-by-step explanation:
I NEED HELP PLEASE HELP IF YOU CAN ASAP
Answer:
C. None of these
Step-by-step explanation:
A cube with 4 faces has a length of 4.5cm.find the total surface area
Answer:
81 cm square
Step-by-step explanation:
the answer is 121.5cm^2
Plz Help, i really dont understand this, and I'm taking a timed test!
Solve for x: −3|x + 7| = −12 (2 points)
A. x = 5 over 3 , x = − 19 over 3
B. x = −3, x = −11
C. x = −3, x = 11
Answer:
B. x = −3, x = −11
Step-by-step explanation:
−3|x + 7| = −12
-3x - 21 = -12 and -3x - 21 = 12
-3x - 21 = -12
-3x = 9
x = -3
-3x - 21 = 12
-3x = 33
x = -11
Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.
Answer:
[tex]\boxed {x = -\frac{1}{7}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]6(4x + 5) = 3(x + 8) + 3[/tex]
-Use Distributive Property:
[tex]6(4x + 5) = 3(x + 8) + 3[/tex]
[tex]24x + 30 = 3x + 24 + 3[/tex]
-Combine like terms:
[tex]24x + 30 = 3x + 24 + 3[/tex]
[tex]24x + 30 = 3x + 27[/tex]
-Take [tex]3x[/tex] and subtract it from [tex]24x[/tex]:
[tex]24x + 30 -3x = 3x - 3x + 27[/tex]
[tex]21x + 30 = 27[/tex]
-Subtract both sides by [tex]30[/tex]:
[tex]21x + 30 - 30 = 27 - 30[/tex]
[tex]21x = -3[/tex]
-Divide both sides by [tex]21[/tex]:
[tex]\frac{21x}{21} = \frac{-3}{21}[/tex]
[tex]x = \frac{-3}{21}[/tex]
-Reduce the fraction to the lowest term by extracting and canceling out [tex]3[/tex]:
[tex]x = \frac{-3\div3}{21 \div 3}[/tex]
[tex]\boxed {x = -\frac{1}{7}}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-\frac{1}{7}[/tex].
The distance around a circular running track is 200m. Calculate the radius of the track, giving your answer to the nearest metre.
Answer:
The radius of the track is 32 meters
Step-by-step explanation:
Circumference
The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.
Given a circle of radius r, the circumference of the circle can be calculated as follows:
[tex]L=2\pi r[/tex]
If we already know the length of the circle, we can solve the above expression for r:
[tex]\displaystyle r=\frac{L}{2\pi}[/tex]
The distance given around a circular running track is L=200 m, thus:
[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]
Rounding to the nearest meter:
r= 32 meters
The radius of the track is 32 meters
Simplify the expression.
−(−x)3 − x3
Answer:
0
Step-by-step explanation:
-(-x) ^3-x^3
x^3-x^3
=0
put these numbers in descending order
75%
2/5
0.84
2/3
What the word please. Identify the vocabulary word that matches the picture.
Answer:
Step-by-step explanation:
BD divides CBA into two angles. The add to 90 degrees. Therefore they are complementary.
The key word is complementary. The angles are <CBA and <DBA are complementary.
Answer:
Right angle or adjacent angle. I'm not sure if there was a vocabulary bank.
Step-by-step explanation:
can some one please help me i’m begging
Answer:
Step-by-step explanation:
for 2.2 you would still have 5^2 in brackets still
same kind of error for 2.1
Fill in each box with the correct numb
5(X+9)=5. +5.
Answer:
so
box1 = x
box2= 9
Step-by-step explanation:
5(x+9)
distribute
5(x) + 5(9)
5x + 45
I need helppp?!
What is the slope of the line??? Please give right answer :(((
Answer:
hello
Step-by-step explanation:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.
m = slope
8. Find the perimeter of ABC with vertices A(-8, -3), B(-2, -3), and C(-8,5).
Answer:
24
Step-by-step explanation:
pleaseeeeeeeeeeeeeeeee solve this
Answer:
360 degrees
Step-by-step explanation:
We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as the exterior angles of the given triangles, their sum will be 360 degrees as well.
Can someone tell me where to graph this
Answer:
(7, -6)
Step-by-step explanation:
You will graph it at this point because the point is basically the origin and when you rotate it clockwise 90° it will end up in Quadrant IV.
Solve for k in the following equation:
m =
8kx
7.
- 6
Answer:
m=56kx-6
Step-by-step explanation:
Solve for n.
4/7 x n = 14
Answer:
[tex]n = \frac{49}{2x}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]
[tex]\frac{4xn}{7}[/tex] = 14
2) Multiply both sides by 7.
4xn = 14 × 7
3) Simplify 14 × 7 to 98.
4xn=98
4) Divide both sides by 4.
[tex]xn = \frac{98}{4}[/tex]
5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]
[tex]xn = \frac{49 }{2}[/tex]
6) Divide both sides by x.
[tex]n = \frac{49}{2} / x[/tex]
7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]
[tex]n = \frac{49}{2x}[/tex]
An equation is blank =540
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
Read more about x-intercepts at:
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What's the answer ?
A. B. C. Or D?
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
If DEF ~= PQR, which congruences are true by CPCTC? Select all that apply.
a. DF = PR
b. DE = PR
C. EF = QR
D. Q = D
E. E = Q
F. F= R
Answer:
A, C, E, F
Step-by-step explanation:
Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.
Answer:
$57.84
Step-by-step explanation:
Balloons needed = 168
Cost of 36 balloons per pack = $11.88
Cost of 12 balloons per pack = $5.16
cost per balloon
36 per pack = $11.88 / 36
= $0.33
12 per pack = $5.16 / 12
= $0.43
In order to minimize cost, she should buy as many packs of 36 per pack balloon
36 per pack × 1 pack = 36
36 per pack × 2 packs = 72
36 per pack × 3 packs = 108
36 per pack × 4 packs = 144
36 per pack × 5 packs = 180
The required number of balloons is 168
So, the number of possible 36 packs to buy is 4, that is, 144 balloons
Balloons remaining = 168 - 144
= 24
Possible packs of 12 balloons per pack possible is
12 per pack × 1 pack = 12
12 per pack × 2 packs = 24
Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack
Cost of 4 packs of 36 balloons per pack = 4 × $11.88
= $47.52
Cost of 2 packs of 12 balloons per pack = 2 × $5.16
= $10.32
Total cost = $47.52 + $10.32
= $57.84
what’s the quotient of -21/-3?
Answer:
7
Step-by-step explanation:
When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.
can someone help me on this question pretty please
Answer:
50 dollars an hour
Step-by-step explanation:
solve for x
(3/x-c)=(4/x-d)
9514 1404 393
Answer:
x = 4c-3d
Step-by-step explanation:
Cross multiply, separate variables terms and constant terms.
[tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]
John is three times as old as mikayla. The product of there ages is 108. Find there ages.
Pleasseeeee help I rlly need it like now
Answer:
John: 18 years old
Mikayla: 6 years old
Step-by-step explanation:
Please see the attached picture for the full solution.
I need help what is -0.5 _ -0.2
The length of a rectangular sandbox is
6
feet less than
3
times the width. The perimeter of the sandbox is
36
feet.
Which statement is true?
The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.
The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 6 feet.
The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.
The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 12 feet.
The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.
The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet.
The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.
Answer:
so the correct statement is;
The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet
Step-by-step explanation:
Here, we want to select the statement which is true
Let the width be w
the length is 6 ft less than 3 times the width
The length will be (3w - 6) ft
Mathematically, the perimeter of a rectangle can be calculated using the formula;
2( l + b) = P
Thus;
2(3w -6 + w) = 36
divide both sides by 2
3w -6 + w = 36/2
3w -6 + w = 18
4w -6 = 18
4w = 18 + 6
4w = 24
w = 24/4
w = 6
can somebody help please
Answer:
(x^3y)/2
Step-by-step explanation:
In 2001, Takeru Kobayashi set a world record for the consuming the most hot dogs in 12 minutes. He ate 12 hot dogs in the first three minutes. Approximately, how many hot dogs did he eat during the 12 minute contest?
Answer: 48
Step 1: Find how much 12 is of 48.
12 = 1/4 of 48
Step 2: Multiply 12 by 3 for 3/4.
12 x 3 = 36.
Step 3: Add the numbers.
12 + 36 = 48
Answer = 48
Approximately, 48 hot dogs did he eat during the 12-minute contest.
What is simplification?One strategy to promote uniformity in work efforts, costs, and time is to simplify procedures. It lessens diversity and variation that is damaging, unnecessary, or meaningless. PEMDAS stands for parenthesis, exponents, multiplication, division, addition, and subtraction. Given two or more operations in a single statement, the order of the letters in PEMDAS tells you what to compute first, second, third, and so on, until the computation is complete.
As a result, Takeru Kobayashi broke the record for eating the hottest dogs in a 12-minute period.
Since,
In the first three minutes, he consumed 12 hot dogs.
in three minutes, he ate = 12 hot dogs
in 1 minute, he ate = 12/3
in 1 minute, he ate = 4
So,
in 12 minutes, the total number of hot dogs he ate = 4*12
in 12 minutes, the total number of hot dogs he ate = was 48
therefore, Approximately, 48 hot dogs did he eat during the 12-minute contest.
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