Answer:
550ft²
Step-by-step explanation:
Since we are not given the dimension of the rectangular prism. Let us assume;
Length of the rectangular base L = 10ft
Width of the rectangular base W = 15ft
height of the prism H = 5ft
Total surface area of the prism = 2(LW + WH + LH)
Substitute the given values
Total surface area of the prism = 2{10*15 + 15*5 + 10*5}
Total surface area of the prism = 2(150+75+50)
Total surface area of the prism = 2(275)
Total surface area of the prism = 550ft²
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Which expression is equivalent to 5(n + 7)?
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
When written in factored form, 6w^2-11w−2 is equivalent to
Answer:
(6w+1)(w-2)
Step-by-step explanation:
Answer:
13w - 2
Step-by-step explanation:
6w² - 11w - 2
24w - 11w - 2
13w - 2
What is a common factor for the two fractional terms
11
001 01
x and
?
The terms can be written as 5)
(x) and (11)
log
(x) y).
O 5
100 100
Weißt du Deutsch, ich kann vielleicht helfen
the sum of the age of a boy and his sister is 32 years. The boy is 6 years older than his sister. How old is his sister?
Answer:
26 is the correct answer
Answer:
His sister is 10?
Step-by-step explanation:
Because if he's 16 then she's 10
The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)
Answer:
92 minutes
Step-by-step explanation:
"Roughly" 17,150 miles per hour
(which is about 5 minutes per second)
this means that the space station orbits Earth once every 92 minutes.
hoped that helps you and God bless
an uber charges a flat fee of $15 then charges $4 per mile write an equation for the total cost of ur ride? identify the m, b, & Equation
Answer:
Step-by-step explanation:
What are the odds that the spinner lands on red or the number 4?
4
4
2
33
Answer:
5 to 3
Step-by-step explanation:
The desired outcomes are 4 or red.
Here are all the possible outcomes:
1 red
1 red
1 red
2 green
3 blue
3 blue
4 yellow
4 yellow
The desired outcomes are in boldface. There are 5 desired outcomes.
There are 3 outcomes that are not desired.
odds of 4 or red = 5 to 3
Answer:
5/8
Step-by-step explanation:
What is the total surface area?? PLEASE HELP THIS IS A QUIZ IM SO CONFUSED
Answer:
246 cm
Step-by-step explanation:
So I solved for the two triangles, 6x8=48/2=24, since there are 2, I multiplied by 2 to get 48 (Could've kept it just as 48 but it's good to keep the habit of dividing by 2 to get area of a triangle). Then I did 6x9 for the front rectangle to get 54, and then solved for the right and back rectangle by doing 9x8 to get 72, 72x2=144
144+48+54= 246
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
1500+5%= 1505 that is the answer I got I hope this was helpful
Which expression shows the total area of 5 rooms, if the
sides of 3 rooms measure 17 feet each, and the sides of
2 rooms measure 15 feet each?
Answer:
3084 sq. ft
Step-by-step explanation:
for the first three rooms,
area= 6l² = 6× 17² = 1734
for the next two rooms,
area= 6l² = 6×15² = 1350
total area = 3084
If the length of SR is 4 meters and the length of ST is 8 meters , what is the length of PQ in meters
Answer:
the length of PQ is 8.9 m
Step-by-step explanation:
The computation of the length of PQ in meters is shown below:
Here we applied the Pythagoras theorem
c² = a² + b²
= 4² + 8²
= 16 + 64
= 80
Now square root to the both sides
c = √80
= 8.94427191
= 8.9 m
Hence, the length of PQ is 8.9 m
please help !! What is the area of the trapezoid shown below?
4
5
Answer:
the area of the trapezoid is (8 + 4).3/2 = 18
Answer:
18
Step-by-step explanation:
khan
The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS
Answer:
your answer will be C. y = x-4
Step-by-step explanation:
hope it helps you...
Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 × 9) + (6 × 7)
Answer:
B
Step-by-step explanation:
They both equal 121
1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y
Answer:
hmmmm i saw something about 13?????
Step-by-step explanation:
Solve for x. 5:1::6:x
Answer:
Step-by-step explanation:
5/1 = 6/x
5x = 6
x= 6/5
Answer:
x
=
15
Step-by-step explanation:
Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?
Answer:
18.7 wreaths
Step-by-step explanation:
Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?
From the above question:
23 pine cones = 1 wreath
430 pine cones = x wreaths
Cross Multiply
23 pine cones × x wreaths = 430 pine cones × 1 wreath
x wreaths = 430 pine cones × 1 wreath/23 pine cones
x wreaths = 18.695652174 wreaths
Approximately = 18.7 wreaths
In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛
Answer:
37.5%
Step-by-step explanation:
30/80=37.5 percent
Answer:
37.5% of students say English is their favorite subject
Step-by-step explanation:
30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)
0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!
Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid
Answer:
If my calculations are correct, $5415.75 of interest was paid throughout 6 years.
Step-by-step explanation:
7.25% of 12,450 is 902.625.
If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.
In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.
Hope this helps.
In the figure, all lines intersect at point W.
What is the value of n?
Please help quick
Answer:
n = 15
Step-by-step explanation:
A straight line equals 180 degrees
Angle SWT is congruent to angle XWV meaning:
SWT (55 degrees) = XWV (55 degrees)
Set up an equation:
3n + 80 + 55 = 180
Combine like terms
3n + 135 = 180
Subtract both sides by 135 to isolate variable n
3n = 45
Divide both sides by 3 to isolate variable n
n = 15
Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
Additional comment
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.
Answer:
replace x with number then multiply or divide
Step-by-step explanation:
in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51
Your answer is:
C) 53
THANK YOU!!
∝ Sidhdi
Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?
Answer:
3600
Step-by-step explanation:
125%=4500
5*25%=4500
25%=900
125%-25%=100%
4500-900=3600
State if the triangle is acute, obtuse, or right
Answer:
right angle triangle
Boris runs 9 miles in 57 minutes.
How many miles does he run per minute?
(round to the nearest hundredth)
Answer:
0.16
Step-by-step explanation:
Speed= 9 miles/57 minuets=(9/57)
Now we want to figure out how many miles Boris runs per minuet
9/57= 0.15
Round to the nearest hundredth and it's 0.16.
Hope this helps!
Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
