Answer:
1635 feets²
Step-by-step explanation:
The Area of a trapezoid is given as :
1/2 (a +b)h
Where ;
a and b are the base of the trapezoid
h = height
From the question :
a = 65 feets
b = 44 feets
h = 30 feets
Area, A = 1/2(65 + 44) * 30
A = 1/2 (109) * 30
A = 1635 feets²
"Two vehicles each travelled 200 kilometers in 3 hours, but ended up being 400 kilometers apart. How did this occur?" what kinda math do I need to do to find the answer?
Answer:
Direction of travel.
Step-by-step explanation:
Given that two vehicles traveled 200 km in 3 hours ;
Distance apart after 3 hours = 400 km
A logical solution to this final distance between the two cars can be explained by their direction of travel.
Since the Cars both covered the same distance over the same period of time, the both cars must have started from a common point and traveled in opposite direction.
Meaning ;
Car 1 traveled 200 km in a certain direction
Car 2 traveled 200km in the opposite direction
Hence, distance between the cars will be :
Distance covered by car 1 + distance covered by car 2
200km + 200km = 400km
What is the radius and center for (x - 2)2 + y2 16? 0000 A. r = 16; center is (2,0) B. r = 4; center is (-2,0) C. r = 16; center is (-2,0) D. r = 4; center is (2,0)
Answer:
D. r = 4; center is (2, 0)Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radiusGiven equation:
(x - 2)² + y² = 16Rewrite as:
(x - 2)² + (y - 0)² = 4²The center is (2, 0)
The radius is r = 4
Correct choice is D
General equation
(x-h)²+(y-k)²=r²Where centre is (h,k)
radius is r
(x-2)²+(y-0)²=4²Radius=4
centre (2,0)
5738 divided by 8 (i only need the remainder)
Answer:
717.25 that's the answer
5738 divided by 8 but you only want the R and the R is 2869
Emily works at a music store where she repairs guitars. She keeps track of the types of guitars she's fixed and the types of repairs she's made. Her records appear in the table below.
Calculate the following percentages based on the frequency table.
Round to the nearest hundredth of a percent.
Answer:
1. 31.3%
2. 34.35%
3.62.6%
Step-by-step explanation:
There were 131 acoustic guitars, and 41 of them needed neck repair.
41/131 = 0.3130 = 31.3%
There were 262 total guitars serviced by Emely. 60 of them were acoustic and needed a string repaired, and 30 of them ere acoustic and needed repair, so 90 of them were acoustic and did not need neck repair.
90/262 = 0.3435 = 34.35%
There were 131 electric guitars. 48 of them had a broken string and 34 of them needed body repairs. So 82 of them needed either string or body repairs.
82/131 = 0.6260 = 62.6%
There is a population of 192,500 bacteria in a colony. If the number of bacteria doubles every 238 minutes, what will the population be 476 minutes from now?
Answer: [tex]770,000[/tex]
Step-by-step explanation:
Given
The present population of bacteria is [tex]1,92,500[/tex]
It doubles in every 238 minutes
So, after 238 minutes it is
[tex]\Rightarrow 192,500\times 2=385000[/tex]
After another 238 minutes i.e. 476 minutes from starting, they becomes
[tex]\Rightarrow 385000\times 2=770,000[/tex]
The area of a square is 49 square inches or less. Which set describes the domain for s, the
length of one side of the square?
Step-by-step explanation:
Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.
[tex]0 \leqslant x \leqslant 7[/tex]
The picture is attached
Answer:
Step-by-step explanation:
A)
3x+1
B)
2Cos(2x-1)
2x + 4y = 22
2x - 2y = -8
Answer:
2x+4y=22
-2x+2y=+8
6y=30
y=5
now
replace the value of y in equ i
2x +4y =22
2x+20=22
x=1
Answer: x = 1 y= 5
Step-by-step explanation:
2x + 4y = 22 -
2x - 2y = -8
--------------------
0+6y = 30
Y= 30/6= 5
Substituting,
2x+ 4*5= 22
2x+ 20 = 22
2x= 22-20 = 2
X=2/2=1
SOMEONE PLZ HELP ME QUICKKK
Use the following data set to answer the questions below.
8, 15, 17, 19, 21, 82
1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?
Answer:
1.The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
2.The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.
3.There are no outliers. Explanation: An observation is an outlier if it falls more than above the upper quartile or more than below the lower quartile.
4.20. The "average" you're talking about is actually called the "mean". It's not exactly answering your question, but a different statistic which is not affected by outliers is the median, that is, the middle number. {90,89,92,91,5} mean: 73.4 {90,89,92,91,5} median: 90.
Step-by-step explanation:
brainless pls
8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.
Answer:
s = 24.05
Step-by-step explanation:
Given
v² = u² + 2gs ← substitute v = 25, u = 12, g = 10
25² = 12² + (2 × 10 × s)
625 = 144 + 20s ( subtract 144 from both sides )
481 = 20s ( divide both sides by 20 )
24.05 = s
Can someone please help me ?
A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
minimum surface area? Calculate the minimum surface area.
Answer:
The dimensions that give the minimum surface area are:
Length = 14cm
width = 14cm
height = 14cm
And the minimum surface is:
S = 1,176 cm^2
Step-by-step explanation:
A regular rectangular prism has the measures: length L, width W and height H.
The volume of this prism is:
V = L*W*H
The surface of this prism is:
S = 2*(L*W + H*L + H*W)
If the base of the prism is a square, then we have L = W
Then the equations become:
V = L*L*H = L^2*H
S = 2*(L^2 + 2*H*L)
We know that the volume of the figure is 2744 cm^3
Then:
V = 2744 cm^3 = H*(L^2)
In this equation, we can isolate H.
H = (2744 cm^3)/(L^2)
Now we can replace this on the surface equation:
S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))
S = 2*L^2 + 4(2744 cm^3)/L
Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.
S' = 2*(2*L) - 4*(2744 cm^3)/L^2
This is equal to zero when:
0 = 2*(2*L) - 4*(2744 cm^3)/L^2
0 = 4*L*L^2 - 4*(2744 cm^3)
4*(2744 cm^3) = 4*L^3
2744 cm^3 = L^3
∛(2744 cm^3) = L = 14cm
Then the length of the base that minimizes the surface is L = 14.
Then we have:
H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm
Then the surface is:
S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2
Please help!!!
i don’t understand this
Answer:
B. is your answer.
Step-by-step explanation:
The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
A. 50 cm?
B. 25 cm2
C. 60 cm2
D. 120 cm2
E. 90 cm2
ANSWER QUICK PLEASE
I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 6)
6. Julie bought a bond with a 5.2% coupon at its face value of $1000 and held it for 15 years, until it reached maturity. The length of the period for the bond was 6 months. Provide Julie with some assistance in determining how she made out on her investment. (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 1 point; Part V – 1 point)
Part I: How many of the bond's periods were there in 1 year?
Part II: What was the periodic interest rate of the bond?
Part III: How much did the bond earn per period?
Part IV: For how many periods did Julie hold the bond?
Part V: What were Julie's total earnings on the bond?
Answer:
Part I: How many of the bond's periods were there in 1 year?
2 periods.
Part II: What was the periodic interest rate of the bond?
2.6%
Part III: How much did the bond earn per period?
$26
Part IV: For how many periods did Julie hold the bond?
30 periods
Part V: What were Julie's total earnings on the bond?
$1560
Find the Area of the trapezoid.
A. 56
B. 28
C. 49
D. 35
Answer: b
Step-by-step explanation:
5) A grocery store paid $147.98 for 7 crates of milk. This can be
expressed by the equation Y=KX. How much was it for one
crate?
Please help !
You went to the mall with $120 and spent $74. What percent was not spent?
Answer:
38.33
Step-by-step explanation:
Given: Total amount = 120, Amount used = 74
To find: percent that was not spent
Solution: Firstly, find how much is 74 out of 120. To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For this case, to convert 74 to a percentage, 74 x 100 = ...61.67%
Then, 100% - 61.67 = 38.33
Help ME DUE in 10 mins WILL GIVE BRAINIEST IF HELP!!! SHOULD BE EASY FOR SOME
Answer:
-9n - 3
Step-by-step explanation:
PLEASE HELP I’ll give brainlest
Answer:
x = 10
Step-by-step explanation:
∡BDC = ∡ABD
ΔDBC = 20 + 5x - 2 + 112
180 = 20 + 5x - 2 + 112
180 = 5x + 130
50 = 5x
10 = x
MAAP REVIEW TEST 1 ATTEMPT Section 1 21 of 6821 of 68 Items 53:53 / 02:20:00 Item 21 Mrs. Peele has 1114 pounds of cookie dough. A batch of cookies requires 212 pounds of cookie dough. How many batches of cookies can Mrs. Peele make? 334 batches 3 and 3 fourths, [if gte msEquation 12]>34 412 batches 4 and 1 half, [if gte msEquation 12]>12 834 batches 8 and 3 fourths, [if gte msEquation 12]>34 2818 batches 28 and 1 eighth, [if gte msEquation 12]>18
Answer:
4 1/2
Step-by-step explanation:
Mrs. Peele has 11 1/4 pounds of cookie dough. A batch of cookies requires 2 1/2 pounds of cookie dough. How many batches of cookies can Mrs. Peele make?
Number of batches = total pounds of Dough Mrs Peele has / total dough required to make one batch
11 1/4 ÷ 2 1/2
convert the mixed fractions to improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
45/ 4 ÷ 5/2
45 / 4 x 2/5 = 9/2 = 4 1/2
Find the radius....
Help asap
Answer: the radius would be B
Rationalize the denominator
7√5 - 5√2
---------------
5√2 - 2√5
Answer:
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
=> 5√3-5√2 × 5√3+5√2
=> 25×3 - 25×2 [(a-b) (a+b) = a²-b²]
=> 75 - 50=> 25
What is closure property ?
Answer:
In mathematics, a set is closed under an operation if performing that operation on members of the set always produces a member of that set. For example, the positive integers are closed under addition, but not under subtraction: 1 − 2 is not a positive integer even though both 1 and 2 are positive integers.
Step-by-step explanation:
I hope this helps you out.
please help me out :))
Answer:
144
Step-by-step explanation:
It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.
144
Todd drove from baltimore, Md to new york city a distance of 192 miles. How many feet did todd drive??
Answer:
1.014e+6
Step-by-step explanation:
can't explain, I would if I could
Answer:
1,013,760 Feet
Step-by-step explanation:
A mile is equal to 5,280 feet
Give me Brainllest plz
Steve has a hammer that is 0.29 meters long. Which expression is equal to the length, in meters, of Steve's hammer?
Answer:
x = 0.29 m
Step-by-step explanation:
Given :
The length of the hammer is = 0.29 m
The hammer is a tool that may be used in various operation or work by mechanics, plumbers, or masonries and even by normal people.
So let the length of the hammer be x.
The length of the hammer is expressed in meters or inches or centimeters.
Therefore, the expression of length of the hammer is expressed as x = 0.29 m.
HELP ME Using the following equation, complete the square and find the center and radius of the circle:
x2 + y2 + 4x − 6y − 12 = 0
You must show all work and calculations to receive credit.
Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]
Step-by-step explanation:
Given
the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]
completing the square
[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]
Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]
PLZZZZZ HELP ILL GIVE BRAINLIEST
Answer:
Hello! Your answer would be, 199.
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby
3/3 x 1/3 will have a poduct less than 1/3/
Answer:
False
Step-by-step explanation:
3 over 3 is equal to 1. So 1 multiplied to 1 over 3 would equal 1/3.