Answer:
See below ~
Step-by-step explanation:
(a)
Formula
Surface Area = (2 x Base Area) + (Perimeter x Height)Solving
32 = 2 x 4 + (P + 2.4)P + 2.4 = 4P = 1.6 ftLength of rope = 5P5 x 1.6Length of rope = 8 feet(b)
Slant height = √(2.4)² + (1)² = √5.76 + 1 = √6.76 = 2.6 feetArea of a side = slant height x lengthArea of a side = 2.6 x 2 = 5.2 square feetTotal area of sides = 5.2 x 2 = 10.4 square feet% (Area) = 10.4/32 = 0.32532.5%33%Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this data, how many of the first 68 vehicles rented today should you expect to be convertibles?
100 points and brainliest to answer
Answer:
8
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Given:
number of convertibles = 4total number of vehicles = 30 + 4 = 34[tex]\implies \sf P(convertible)=\dfrac{4}{34}=\dfrac{2}{17}[/tex]
To find the expected number of convertibles from the first 68 vehicles:
[tex]\begin{aligned}\implies \sf P(convertible) \times 68 & =\sf\dfrac{2}{17} \times 68\\\\ & = \sf8\end{aligned}[/tex]
Answer:
30 other vehicles + 4 convertibles = 34 cars
34 * 2 = 68
30 * 2 other vehicles + 4 * 2 convertibles = 68 cars
60 other vehicles and 8 convertibles
hope it helps you
How do you create a rectangular prism with a volume of 315 cubic inches?
A rectangular prism with volume of 315 cubic inches can be formed with length, width and height of of 9inches, 7 inches and 5 inches respectively
How to form a rectangular prism with the given volumeVolume of a rectangular prism = lwh
where
h = heightw = widthl = lengthTherefore,
volume of the rectangular prism = lwh
315 = lwh
315 = 9 × 7 × 5
Therefore, a rectangular prism with volume of 315 cubic inches can be formed with length, width and height of 9inches, 7 inches and 5 inches respectively.
learn more on rectangular prism here: https://brainly.com/question/16043272
#SPJ1
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1) x=−y-2
2)x=−y+2
Step-by-step explanation:
Let's solve for x.
y=−x−2
Step 1: Flip the equation.
−x−2=y
Step 2: Add 2 to both sides.
−x−2+2=y+2
−x=y+2
Step 3: Divide both sides by -1.
x=−y−2
Let's solve for x.
3x+3y=6
Step 1: Add -3y to both sides.
3x+3y+−3y=6+−3y
3x=−3y+6
Step 2: Divide both sides by 3.
x=−y+2
Koro - Sensei has 8 more students in his class than Ms.Fizzle. They have a total of 32 students together. Calculate the number of students in Koro - Sensei's class
Answer:
Koro-Sensei's class has 20 kids in it.
Step-by-step explanation:
This is simple.
Ex: 20-12 = 32
HII can someone plss help me with this question. I got 192 but i dont know how to turn it into a base with an exponent. ----> b^e
= 1 × 3 × 4 × 4 × 4
= 1 × 3 × 64
= 3 × 64
= 192
Easy peasy...
Riley drank 8/10 quart of iced tea and her friend drank 0.3 quart. How much more of a quart of iced tea did Riley drink than her friend?
Answer:
1/2
Step-by-step explanation:
0.3 can be converted into 3/10. TO find out how much more of a quart of iced tea that Riley drank than her friend, we have to subtract the amount of iced tea that her friend drank from the amount that Riley drank.
8/10 - 3/10 = 5/10
Now, we have the opportunity to simplify the fraction. 5/10 is the same as 1/2. Therefore, Riley drank 5/10, or 1/2, more than her friend. I hope this helps! Have a lovely day!! :)
Which expression represents the value of the series below? 3 7 11 15 ... 1,671
Answer:
Let n be the sequence number, starting with 0. The first number is 3, each succeeding number is incremented by 4. The nth number would have the value 3+4n
Step-by-step explanation:
Using the above formula yields the attached table of values. We see that if n=417, that the value of 1,671 is correctly predicted.
Wendell is building a doghouse using these pieces of wood:
The pieces of wood to build a doghouse with the highest point to the lowest point of 28 inches.
Each length with one mark (I) is 36 inches. Each length with two marks (II) is 18 inches. Each length with three marks (III) is 30 inches. Each end has a height (from the highest point to the lowest point) of 28 inches.
The doghouse will have the shape shown once it is built.
The shape of the doghouse.
Part A
If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, what shape would the slice be?
If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.
What is a solid figure?A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.
The shape represented by the doghouse would be a pentagonal prism. If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.
Find out more on solid figure at: https://brainly.com/question/8774322
Which expression represents the surface area of the pyramid?
Answer:
option d
Step-by-step explanation:
36+15+15+15+15
I hope it helped you
Quest
answe
Ms. Miller's English class kept track of how many books they read last school year.
Books read
13
41
24
97
67
103 75 120
27
53
39
108 49
111
84
44
20
Time
elapse
Which box plot represents the data?
00 12
HR MIN
Books read
SmartSc
out of 100
63
20
40
60
80
100
120
Books read
20
40
60
80
100
120
Answer:
cde
Step-by-step explanation:
thx everyone hahahhahaahha
What is the volume of the right triangular prism shown below?
V = Bh
b = 1/2bh
Answer:
165
Step-by-step explanation:
V=BH
B=[tex]\frac{1}{2\\}[/tex]BH
V=([tex]\frac{1}{2}[/tex] x 5 x 6) x 11
V= ([tex]\frac{30}{2}[/tex]) x 11
V= 15 x 11
V= 165 f[tex]t^{2}[/tex]
Simplyfy the following fraction: 50/75
Answer: 2/3
Step-by-step explanation: 50/75
25 can go into both.
50 divided by 25 = 2
75 divided by 25 = 3
y + 6 = 5(x – 4)
Write a formula fpr f(x) in terms of x.
Answer:
f(x) = 5x - 26
Step-by-step explanation:
y + 6 = 5(x - 4) ← distribute parenthesis by 5
y + 6 = 5x - 20 ( subtract 6 from both sides )
y = 5x - 26
Now y = f(x) , then
f(x) = 5x - 26
Answer:
f(x) = 5x - 26
Step-by-step explanation:
y + 6 = 5(x – 4)
Distribute
y +6 = 5x - 20
Solve for y
y +6-6 = 5x-20+-6
y = 5x - 26
Replace y with f(x)
f(x) = 5x - 26
What is the surface area of the right cone below?
A. 3047 units-
B. 4967 units?
C. 1841 units-
D. 248 units
Answer:
184π units²
Step-by-step explanation:
see attached for reference
given sloped height = 15 units
base radius = 8 units
the height of the cone can be found by using the Pythagorean equation
(sloped height)² = height ² + (base radius)²
15² = h² + 8²
h² = 15²-8² = 161
h = √161
Base surface area = πr² = π 8² = 64π units²
Lateral Surface Area,
= πr √(r² + h²)
= π(8) √[ (8)² + (√161)² ]
= 8π√(64 + 161)
= 8π√225
= 8π (15)
= 120π
Surface area = base area + lateral surface area
= 64π + 120π
= 184π units²
Answer:
C. 184π units²Step-by-step explanation:
Surface Area of a cone : πrl + πr² = πr(l + r)
r = radiusl = slant heightSolving
SA = π x 8 (15 + 8)SA = π x 8 x 23SA = 184π units²PLEASE HELP VERY URGENT
Suppose you know the following facts about angle ABC and angle DEF: (1) both triangles have sides of length a and b (2) For angle ABC, a^2 + b^2 = c^2 (3) For angle DEF, angle F is a right triangle. Use the list of expressions below to find the value of c in angle ABC and the length of the hypotenuse of angle DEF.
The value of c in angle ABC is _______ and the length of the hypotenuse of angle DEF is ________.
A. square root of a^2 + b^2
B. a^2 + b^2
C. b^2 - a^2
D. square root of a^2 - b^2
E. a^2 - b^2
F. square root of b^2 - a^2
(if u have trouble reading the text look at the attached photo for the question)
Answer:
A. square root of a^2 + b^2 for both answers
Step-by-step explanation:
The first problem, we are given
a^2 + b^2 = c^2
What we do is solve for c.
sqrt(a^2 + b^2) = c
c = sqrt(a^2 + b^2)
For problem 2,
WE can apply the Pythagorean theorem because we have a right triangle.
The equations is
a^2 + b^2 = c^2 like the first problem
Solving gets us
sqrt(a^2 + b^2) = c
c = sqrt(a^2 + b^2)
The probability of obtaining a head when a certain coin is flipped is about 0. 65. Which of the following is closest to the probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times?.
The probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times is 0.370
How to determine the probability?The given parameters are:
Sample size, n = 25Probability of success, p = 0.65Number of success, x ≤ 15The probability is represented using the following binomial formula
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]
Using the above formula, we have:
[tex]P(x \le 15) = 0.370[/tex]
Hence, the probability is 0.370
Read more about probability at:
https://brainly.com/question/251701
What is the discriminant of the quadratic equation 7x2 – 9x – 9=0?
A)171
B)333
C)-333
D)-171
Answer:
B) 333.
Step-by-step explanation:
The discriminant of ax^2 + bx + c = 0
is b^2 - 4ac
So here we have:
(-9)^2 - 4*7*-9
= 81 + 252
= 333.
For each ordered pair, determine when weather it’s a solution to 7x -6y=19
Solutions:
(7,5)
(1,-2)
(-5,3)
(-4,0)
Options A and B
Solution:In order to determine whether or not an ordered pair is a solution to an equation, plug in the values of x and y:7x-6y=197(7)-6(5)=1949-30=1919=19We have a true statement. Therefore, the ordered pair is a solution to the equation 7x-6y=19.Let's try the other ordered pairs.7(1)-6(-2)=197+12=1919=19Here's another true statement.Let's check the remaining two options:7(-5)-6(3)=19-35-18=19-53≠19Here we have a false statement.7(-4)-6(0)=19-28-6=19-34≠19Therefore, the ordered pairs that make this equation true are (7,5) and (1,-2)Hope it helps.
Do comment if you have any query.
write 1.257 multiply by 10 to the power of 5
Answer:
1.257*10^5
Step-by-step explanation:
10 to the power of 5 : [tex]10^{5}[/tex]
1.257 multiply by 10 to the power of 5 : [tex]1.257[/tex] x [tex]10^{5}[/tex]
Q1- Tommy pays $22.50 for 2.6 pounds of salmon. What is the price per pound of salmon?
Q2- The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?
Q3- 1/2 of a pizza cost $9.50. How much would it cost for one whole pizza?
Q4-The cost of 1/4 cup of ice cream is $3.00. How much would it cost for one whole cup?
Give the appropriate theorem or postulate that can
be used to prove the triangles similar:
A. AA Postulate
B. ASA Postulate
C. SSS Postulate
D. SAS Postulate
Answer:
The right answer is A. AA Postulate
Barbara got a flat tire and does not have a spare. she needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire. she borrows $75 and plans to pay it back when she gets paid in 8 days. barbara is charged a fee of $15 and the term on her loan is 8 days. approximately what is the annual percentage rate on her loan? a. 228% b. 487% c. 913% d. 973%
The annual percentage rate of the loan is approximately 913%. option c is correct.
What is the annual percentage?The yearly interest earned by an amount charged to borrowers or paid to investors is referred to as the annual percentage rate.
APR is a percentage that indicates the real annual cost of money for a loan or investment over the period of the loan.
The amount borrowed = $75
no of days =8 days
Fees charged = $15
The annual percentage is found as;
[tex]\rm r = \frac{final \ value}{initial \ value } -1 \\\ \rm r = \frac{f 90}{75 } -1 \\\\ r=0.20 \\\\[/tex]
If the rate of interest is 20% then the annually the rate is obtained as;
[tex]\rm r_{annual}= \frac{0.20}{8 \ days} \times \frac{365}{1 \ year} \\\\ \rm r_{annual}=913 /year[/tex]
Hence the annual percentage rate of the loan is approximately 913%. option c is correct.
To learn more about the annual percentage refer to the link;
https://brainly.com/question/17613825
Answer:
C
Step-by-step explanation:
Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire. She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?
a.
228%
b.
487%
c.
913%
d.
973%
C
please help with this math question sceenshot below
Answer:
that would be the second option (-4,7)(-7,0)(-1,0)
Step-by-step explanation:
The answer is given away once you translate point S to the right 2 and down 3 making the point (-4,7) and there is only one answer with that point.
Using ε − δ definition of a limit, show that limx→2
x+1
x =
3
2
The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.
ε − δ definition of a limit?Epsilon-Delta defines a limit at a finite point that has a finite value.
To find the limit, two variables, delta (δ) and epsilon (ε) are first created then the epsilon region is choosen so as to define a delta region.
[tex]\lim_{x \to 2} x+1=2+1=3[/tex]
The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.
Find out more on ε − δ limit at: https://brainly.com/question/17603639
What is the mean?
557544
Answer:
5
Step-by-step explanation:
mean = average
5 + 5 + 7 + 5 + 4 + 4 = 30
30/6 = 5
Please help I need to pass this class
Answer:
Shown Below...
Step-by-step explanation:
6) 5.25% will be 5.25/100 = 0.0525
0.0525 x $333.75 = $17.5 (rounded)
$333.75 + $17.5= $351.25
7) 15% will be 15/100 = 0.15
0.15 x $16 = $2.4
$16 + $2.4 = $18.4
8) 20% will be 20/100 = 0.2
0.2 x $2800 = $560
Since it is off the original price, this will be subtraction.
$2800 - $560 = $2240 will be the sales price.
----------
8.25% will be 8.25/100 = 0.0825
0.0825 x $2240 = $184.8
$2240 + $184.8 = $2424.8 will be the total price including tax.
A restaurant chain order £3940 of rice and £20 bags about how many £20 bags of rice did the chain order
Answer:
Step-by-step explanation:
how do you do this???
Answer:
A = 15 units²
Step-by-step explanation:
Count the squares:
AB (height) = 6 units
CB (base) = 5 units
A = bh/2
A = (5)(6)/2
A = 30/2
A = 15 units²
I hope this helps!
which represents the exspession 3 fewer than p
Answer:
p-3Step-by-step explanation:
Let me show you how to answer this question correctly.
A variable is P. Letters are represented as numbers by variables.
If you have fewer than that, you must subtract.
Therefore, the expression is p-3, which is our answer.I hope this helps! Let me know if you have any questions.
Answer:
[tex]p - 3[/tex]
Step-by-step explanation:
Step 1: Convert to an expression
3 fewer than p
This means that given a variable named p, we have 3 less than that so it can be simply displayed by p - 3.
Answer: [tex]p - 3[/tex]
How many minutes does it take arnob to catch up to kathleen? 9.8 10 73.5 75
Answer:
so the anwer is d 75
75
D
.......
Answer:
75
Step-by-step explanation:
i got it right