Answers
Answer:
area of trapezoid is [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]
Step-by-step explanation:
We have
a = 4 cm
b = 8cm
h = 6cm
We need to find area of trapezoid
The formula used is: [tex]Area=\frac{a+b}{2}\:h[/tex]
Putting values and finding expression:
We will not be solving the expression as question required just to find the expression by putting respective values.
[tex]Area=\frac{a+b}{2}\:h\\Area=(\frac{4+8}{2})\:\times 6[/tex]
So, area of trapezoid is [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]
Related Questions
Solve the given equation
Answers
Answer:
136
Step-by-step explanation:
[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]
Answer:
2+ x+8 =14
Subtract 2 from both sides of the equation.
x+8 +2−2=14−2
Subtracting 2 from itself leaves 0.
x+8 =14−2
Subtract 2 from 14.
x+8 =12
Square both sides of the equation.
x+8=144
Subtract 8 from both sides of the equation.
x+8−8=144−8
Subtracting 8 from itself leaves 0.
x=144−8
Subtract 8 from 144.
x=136
Step-by-step explanation:
Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even
Answers
Answer:
He needs to sell 200 ribbons to break even.
Step-by-step explanation:
The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:
46+0.02x=0.25x
Now, you can solve for x to find the answer:
46=0.25x-0.02x
46=0.23x
x=46/0.23
x=200
According to this, the answer is that he needs to sell 200 ribbons to break even.
Suppose that the people in a certain city are catching cold. It is observed that after one week, 40% of the people who were sick are still sick. Of the people who were well, 30% are sick after one week. If, at some particular time, 20% of the people are ill, find the proportion of people who are sick after two weeks
Answers
Answer:
the proportion of people who are sick after two weeks is 33.2%
Step-by-step explanation:
Given the data in the question;
Let there be 100 people in the city;
20% of them are sick( 20/100 × 100) = 20 people
so 80% are fine = ( 100 - 20 ) = 80
after one week, 40% of the people who were sick are still sick
40/100 × 20 = 8%
of the 80% of people who were well, 30% got sick after one week
30/100 × 80 = 24%
so after one week. 8% + 24% = 32% of the people were sick,
hence 68% are fine.
now, after second week 40% of sick and 30% of not sick people previously will be sick
∴ Total people who are sick after two weeks
⇒ 40/100 × 32 + 30/100 × 68
= 12.8 + 20.4
= 33.2
Therefore, the proportion of people who are sick after two weeks is 33.2%
Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages
Answers
Answer:
the probability that sales will be less than 81,000 packages is 0.6681
Step-by-step explanation:
Given that;
Average sales μ = 87,000
standard deviation σ = 4,000
x' = 81,000
P( x < 81,000) = ?
so
P( x < 81,000) = P( x - μ / σ )
we substitute
P( x < 81,000) = P( 81,000 - 87000 / 4000 )
P( x < 81,000) = P( - 6000 / 4000 ) = -1.5
from table;
P( z < 1.5 ) = 0.6681
Therefore the probability that sales will be less than 81,000 packages is 0.6681
Please help with this I really need it
Answers
Answer:
Step-by-step explanation:
what is 1 17/8 + 1 1/4 =
Answers
Answer:
39/8
Step-by-step explanation:
Solve and Share
Tyrone partitioned a rectangle into thirds. Sally partitioned a rectangular of the same size
into fourths. How could you partition a rectangle of the same size so that you see both
thirds and fourths?
Answers
Answer:
Step-by-step explanation:
The least common multiple of 3 and 4 is 12. Divide the rectangle in twelfths.
⅓ = 4/12
¼ = 3/12
Using the equation shown, which is the best estimate of x?
x2 = 315
a)between 17 and 18
b)between 53 and 54
c)between 78 and 79
d)between 157 and 158
Answers
Answer:
a)
Step-by-step explanation:
[tex]\sqrt{315}[/tex] is approximately 17.8
17² = 289
18² = 324
315 is between 289 and 324
The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a widespread number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given square roots,√315
The value of √91 is 17.74823935
The whole number less than 17.74823935 is 17 and greater than 17.74823935 is 18.
Thus, 17 < 17.74823935< 18
Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".
For more about the number system,
brainly.com/question/22046046
#SPJ5
Select all the true statements.A.A circumcenter can be outside of its triangle.B.An orthocenter can be outside of its triangle.CAn incenter can be outside of its triangle.D.A centroid can be outside of its triangle.E.A circumcenter, orthocenter, incenter, or centroid can be either inside or outside of its triangle.
Answers
Answer:
.B.An orthocenter can be outside of its triangle
Step-by-step explanation:
The orthocenter of a triangle is the intersection of the point drawn perpendicular from the vertices of the triangle. While normal equilateral triangles for instance have their point of intersection drawn inside the triangle, the orthocenter of a triangle of an obtuse triangle is outside of the triangle. A right angled triangle has its orthocenter drawn at the vertex of the right angle and really inside the right angled triangle.
pls help, my teacher told me to translate this as an assignment so pls help.
th3f1r5t345y4551gnm3ntf0r411th35t9d3nt5.
and also this to. th3l45td4y0f5ch00l15601n6t0b31n4wh1l3.
answer key. y=7 e=3 s=5 a=4 9=u i=1 o=0 z=2 g=6 8=b.
Answers
Answer:
the first easy assignment for aii the students
the first day of school is go in to be in a while
Step-by-step explanation:
What is -1/2+-1/5+-5x+3/10+3/2=
Answers
Answer:
-5x + 11/10
Step-by-step explanation:
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
Answers
The Vertex is (-2,1)
And the focus is (-2,3)
it takes 4 workers 21 hours to landscape a park how many hours does it take 3 workers?
Answers
10cm 3mm - 4.8cm
I do not understand that well can someone please help no need to explain
Answers
Answer:
60mm or 6cm
Step-by-step explanation:
108mm - 48mm = 60mm
Explanation: i gotchu and leave a like if it helped you
9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4
Answers
Step-by-step explanation:
0.0660%2/33/4hope it's right :)
Katherine D’Ann is planning to finance her college education by selling programs at the football games for State University. There is a fixed cost of $400 for printing these programs, and the variable cost is $3. There is also a $1,000 fee that is paid to the university for the right to sell these programs. If Katherine was able to sell programs for $5 each, how many would she have to sell in order to break even?
Answers
Answer:
700 programs
Step-by-step explanation:
Given that :
Fixed cost = $400
Variable cost = $3 per program
Right to sell fee = $1000
Sales price per program = $5
Let number of programs sold = x
In other to break even, expense = revenue
(Fixed cost + variable cost per program + right to sell fee) = sales price per program
(400 + 3x + 1000) = 5x
1400 + 3x = 5x
1400 = 5x - 3x
1400 = 2x
1400 / 2 = x
x = 700
Number of programs to be sold in other to break even = 700
log, 7 1/2
Solve in exponential form
Answers
Answer:
7 = x^1/2.
Step-by-step explanation:
logx 7 = 1/2
Converting to exponential form ( the value of the log is the exponent and x is the base):
7 = x^1/2
Solve the following inequality:
x/0.25 > 2
Answers
Answer:
x>0.5
Step-by-step explanation:
multiply by 0.25 on both sides
x>0.5
add fractions 17/3+5/2=
Answers
Answer:
answer is below
Step-by-step explanation:
49/6 or 8 1/6
someone help , i’ll give you brainliest !
Answers
Answer:
It is y^5 + 15y^4 + 90y^3 + 270y^2 + 405y + 243
Step-by-step explanation:
The Gomez’s deck is shown below. The deck is a regular hexagon. It has a perimeter of 45 units. What is the are of the deck
Answers
Answer:
The area of the deck is of 146.14 squared units.
Step-by-step explanation:
Regular hexagon:
A regular hexagon has 6 sides, all with the same measure.
Perimeter of a regular hexagon:
The perimeter of a regular hexagon with side x is given by:
[tex]P_h = 6x[/tex]
Area of a regular hexagon:
The area of a regular hexagon with side x is given by:
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2}[/tex]
It has a perimeter of 45 units.
This means that:
[tex]6x = 45[/tex]
[tex]x = \frac{45}{6}[/tex]
[tex]x = 7.5[/tex]
What is the are of the deck
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2} = \frac{3\sqrt{3}*(7.5)^{2}}{2} = 146.14[/tex]
The area of the deck is of 146.14 squared units.
x/6-5=-13 .............................. . . . .
Answers
Answer:
-48
Step-by-step explanation:
Answer:
x=-48
Step-by-step explanation:
x/6-5=-13 Get x by itself
+5 +5
x/6=-8 You can multiply 6 times -8 to find x
x=-48
Which is the most common age
Answers
Answer:
57, the number repeats the most in the chart
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answers
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.
Answers
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Range is the set of y-values or output values.
From the given graph it is clear that,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
And the value function can be any real number. So,
Range = [tex]-\infty<y<\infty[/tex]
Range = [tex](-\infty, \infty)[/tex]
Range = y is all real numbers.
Therefore, the correct option is D.
Answer:
D. y is all real numbers.
Step-by-step explanation:
Range is the set of y-values or output values.
From the given graph it is clear that,
And the value function can be any real number. So,
Range =
Range =
Range = y is all real numbers.
Therefore, the correct option is D.
how we represent decimal number into hexadecimal
Answers
9514 1404 393
Explanation:
In base 10, the digits we use to represent numbers are 0 to 9. Each location in a base-10 number has a place-value. That is, the value of the digit is dependent upon its place in the number.
Any number in base 10 can be written in expanded form like this:
8765.432
= 8·10³ +7·10² +6·10¹ +5·10⁰ +4·10⁻¹ +3·10⁻² +2·10⁻³
We hope you recognize that in this form, the place value of a digit is a power of the base, and that those powers increase to the left and decrease to the right. The "units" place has a power of 0.
__
Hexadecimal works the same way. In that base-16 number system, the digits 0-9 and A-F are used. The corresponding decimal values are ...
A = 10, B = 11, C = 12, D = 13, E = 14, F = 15
As above, an expanded hexadecimal number would use powers of the number system base:
A73B.16E
= 10·16³ +7·16² +3·16¹ +11·16⁰ +1·16⁻¹ +6·16⁻² +14·16⁻³ . . . (all numbers decimal)
_____
The method of converting a number from hexadecimal is generally to evaluate the expanded form, as just shown. (The base-10 value of the number shown is 42,811.08935546875.)
There are a number of methods for converting numbers to hexadecimal. For integers, one can work right to left, with each successive digit of the hex number being the remainder from division by 16. The quotient is then used for developing further digits to the left.
Example:
9243/16 = 577 11/16
577/16 = 36 1/16
36/16 = 2 4/16
9243₁₀ = 241B₁₆
In the above, we have identified the base of the numbers being used with a subscript. If the base is understood, that is unnecessary. (However, it is useful in ambiguous cases.)
__
Some calculators have modes for converting and/or calculating with hexadecimal integers. They are generally limited to 48 bits (12 hex digits) or less. I have not seen any that convert or calculate fractions in non-decimal bases. There may be apps or web products that will do fraction conversion—generally for the purpose of showing you the IEEE-754 representation used internally by digital computers.
Simplify the expression 3s - 3s 35 - 3s =
Answers
Answer:
6s-35
Step-by-step explanation:
not sure
express in simplest radical form.
Answers
3. The two lines graphed on the coordinate grid each represent an equation.
y
O
(-2, 6)
(3,5)
(-6, 2)
X
O
O
9-8-7-6 -5 -3 2 -1
12
4 5 6
7 8 9
K-6, -6)
CLEAR
Which ordered pair represents a solution to both equations?
Answers
Answer:
Step-by-step explanation:
(-4,0)
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answers
(Substitute y= 0)
0=6x-18
(Move the variable to the left)
-6x=-18
(Divide both sides)
The answer is X= 3
Answer:
So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.
Step-by-step explanation: