A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 6 yards long, and the height of the equilateral triangle is 5.2 yards. The pyramid's slant height is 7 yards. What is its surface area?
Answer:
78.6 sq. yards
Step-by-step explanation:
SA = (½×6×5.2)+(3×½×6×7)
= 15.6 + 63 = 78.6 sq. yards
Eight new graduates are hired by an engineering firm. Each is assigned at random to one of eight cubicles arranged in a row in the back of the room that houses the engineering staff. Two of the graduates are Bill and Cathy. What is the probability that they are assigned adjacent cubicles
Answer:
the probability that they are assigned adjacent cubicles is 1 ÷ 4
Step-by-step explanation:
Given that
There is 8 new graduates are hired
2 of the graduates are bill and cathy
And, each one is assigned on random basis
We need to find out the probability
So,
= (2) (7!) ÷ (8!)
= (2) ÷ (8)
= 1 ÷ 4
Hence, the probability that they are assigned adjacent cubicles is 1 ÷ 4
The same would be relevant
(6,-5) is a point on the terminal side of 0. Find the exact values of cos0, csc0, and tan0.
point (6, -5) => x = 6, y = -5
r =√6² +(-5)² = √(36+25)=√61
the exact value of :
cos 0 = x/r = 6/√61 = 6/61 √61
csc 0 = r/y = √61/(-5) = -1/5 √61
tan 0 = y/x = -5/6
Answer:
Solutions given:
(6,-5)=(x,y)
r=[tex]\sqrt{6²+(-5)²}=\sqrt{61}[/tex]
Now
Sin θ=[tex] \frac{y}{r}[/tex]=[tex] \frac{-5}{\sqrt{61}}[/tex]
Cosθ=[tex] \frac{x}{r}[/tex]=[tex] \frac{6}{\sqrt{61}}[/tex]
CSC θ=[tex] \frac{r}{y}[/tex]=[tex] \frac{\sqrt{61}}{-5}[/tex]
Tan θ=θ=[tex] \frac{y}{x}[/tex]=[tex] \frac{-5}{6}[/tex]
Note:
p=y
b=x
h=r
Cage has been given two offers. Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. Which offer is better if Cage can play 8 games in the season?
Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. At what point these two offer's graphs intersect?
(5, 2000000)
(5, 2)
(16, 3600000)
(50, 20000)
Answer:
1. Tallahassee Jellyfish is the better offer 2. (5, 2000000)
Step-by-step explanation:
1.
Since g = 8, p1 = 400000 * 8 = $3,200,000
and p2 = 1250000 + 150000 * 8 = $2,450,000
2.
400,000g = 1,250,000 + 150,000g
250,000g = 1,250,000
g = 1,250,000 / 250,000 = 5.
at g=5, you can use either graph to find the y value.
400,000 * 5 = $2,000,000
(5, 2000000)
There are eight boys and seven girls in a class. The teacher randomly selects three different students to answer questions. What is the probability that the first two students are girls followed by a boy?
the probability is 7/15
Step-by-step explanation:
because there are 7 girls and 8 boys
Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of them can be interviewed at one of the two times they have marked
Answer:
0.01024
Step-by-step explanation:
Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;
Number of time slots, n = 5
Required to mark, number of preferred timeslot x = 2
P(x) = 2 /5 = 0.4
Probability of 0.4 that an interviewee gets one of his preferred timeslot.
Probability that each of the 5 interviewees gets one of their preferred time slots :
Using the multiplication rule of independence :
0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024
0.01024 * 100% = 1.024%
please help
thank you
Answer:
Step-by-step explanation:
-4<n≤5
Ica ingin membuat sebuah lampion
berbentuk kubus, panjang rusuknya 15
dm, maka volume lampion Ica adalah
... m?
a. 45
b. 3,375
c. 33,75
d. 3,375
Well the answer is 3,375
Jaclyn bought a PS4 game that was on sale for 20% less than the original price. The original price was $10 more than the sale price.
What was the ORIGINAL price?
Explain your answer.
Answer:
$50
Step-by-step explanation:
If the original price was $10 more than the sale price, so we know that in this case, 20% = $10. Because 20% is equivlalent to [tex]\frac{1}{5}[/tex], multiply $10 by 5 to get the answer of $50.
If a student scored in the upper quartile, they received a treat from Mrs. Jones. What is lowest score they can earn and receive a treat?
Plz help me well mark brainliest if you are correct!..
Answer:
8
Step-by-step explanation:
all numbers must be positive when you have the lines on the side
Answer:
8
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 35 degree as reference angle
using cos rule
cos 35=adjacent/hypotenuse
0.81=x/78
78*0.81=x
63.18=x
63.2=x
The value of x for the given triangle is x = 63.2.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
Given that the angle is 35 and the adjacent side is x and the hypotenuse is 78.
The measure of value x will be calculated below,
cos(35)°=adjacent/hypotenuse
0.81=x/78
Multiply the value by 0.81 by 78 and solve for x,
78 x 0.81=x
63.18=x
63.2=x
Therefore, the value of x will be 63.2.
To know more about trigonometric functions follow
https://brainly.com/question/1143565
#SPJ6
The hanger image below represents a balanced equation.
Answer:
...
Step-by-step explanation:
j - 19
I'm not sure if it's correct though. Hope it helps.
what is going on
I am confused
Answer:
What do you mean?
Step-by-step explanation:
I would suggest adding more info
How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 15% nitrogen?
Answer:
x = 6 1/4
y = 3 3/4
Step-by-step explanation:
let 'x' = gallons of 6% nitrogen
let 'y' = gallons of 30% nitrogen
system of equations:
x + y = 10; let y = 10-x
6x + 30y = 10(15)
substitute '10-x':
6x + 30(10-x) = 150
6x + 300 - 30x = 150
-24x = -150
x = 6 1/4
y = 3 3/4
what is the median of the data? 68,69,71,71,71,73,74,75,75,78 answers: 71,72,78,72.5
John walks his dog home from the vet. The graph shows the remaining distance from his house as a linear function of x, the number of minutes he spent walking. Find the domain and range of the graph.
Answer:
Step-by-step explanation:
domain is the input, or the x values, range is the output, or y values
x goes from 0 to 40 so that's the domain
y goes from 0 to 4 so that the range
Answer:
Y is more than or equal to 0, but less than or equal to 4.
X is more than or equal to 0, but less than or equal to 40
Step-by-step explanation:
Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?
Answer:
its a
Step-by-step explanation:
7. A recent report states that 89% of Americans consider themselves above average drivers. A local newspaper is planning on conducting a survey to investigate whether this is true locally. If the newspaper assumes that the 89% claim is true and plans to use the normal approximation to calculate probabilities associated with their sample proportion, which sample size would be most appropriate
The available options are
A) 10
B) 11
C) 30
D) 91
E) The number depends on the size of the population.
Answer:
91
Step-by-step explanation:
Given that for the normal approximation, we need that:
np > 5 and np(1-p) > 5
Hence, we have
n = 91
91*0.89 = 80.99
91*0.89*0.11 = 8.9089 > 5
Therefore the answer gotten is satisfactory or satisfies the condition, and which makes 91 the accurate solution.
The other options, when calculated is less than 5
Find the value of the following by suitable rearrangement. Mention the
property used.
a. 25 x 679 x 4
b. 2917 x 102 - 2917 x 2
(a) 67900
(b) 291700
Step-by-step explanation:(a) 25 x 679 x 4
Rearrange the terms starting with the smallest
4 x 25 x 679
The property used here is the commutative property of multiplication which states that the order in which these numbers are multiplied does not matter.
Now solve
4 x 25 x 679 = 67900
(b) 2917 x 102 - 2917 x 2
Factor out the common terms
2917(102 - 2)
Using the distributive property which states that when a number is multiplied by the sum or difference of two numbers, the result is the same as multiplying each of the two numbers by the number and then adding or subtracting the products.
Now solve
2917(102 - 2) = 2917(100)
= 291700
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWER 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
26. H
Step-by-step explanation:
26. An acute angle just has to be less than 90 degrees. Therefore, H is the correct choice.
Please mark as brainliest
Answer:
Angle H
Step-by-step explanation:
Angle H is correct because it is less than 90 degrees. Any angle more than 90º is obtuse. Any angle that is 90º is classified as a right angle.
For example,
Angle I is an obtuse angle.
Angle F is a right angle.
If this helps, please mark Brainliest!
Have a wonderful rest of your day!
Find A in degrees. Round to the
nearest tenth.
С
a = 7
b
b = 4
a а
C = 8
B
B
A
С
A = [?]°
Answer:
8/7
Step-by-step explanation:
Answer:
61 degrees
Step-by-step explanation:
Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.69 with a standard deviation of $0.11. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91
Answer:
The minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91 is of 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of $3.69, standard deviation of $0.11.
What is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91?
3.47 = 3.69 - 2*0.11
3.91 = 3.69 + 2*0.11
So the minimum percentage within 2 standard deviations of the mean, which by Chebyshev's Theorem, is of 75%.
Answer:75%
Step-by-step explanation:
Which is a true statement?
O A. 48 is 25% of 160.
O B. 32 is 40% of 88.
O C. 40 is 60% of 100.
O D. 72 is 80% of 90.
Answer:
D is the answer
Step-by-step explanation:
90 × 80/100 = 72
Answer:
B. 32 is 40% of 88
Step-by-step explanation:
At first i thought it was D, but 72 is really close to 90.. thats like 90% I'm pretty sure its B. 32 is 40%
which number line shows the solution to the inequality below
-4g<4
(look at picture)
Answer:
b
Step-by-step explanation:
make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria
Which word best describes the degree of overlap between the two data sets?
none
moderate
high
low
Answer:
Moderate
Step-by-step explanation:
I think sorry if its wrong
SOMEONE HELP ME WITH THIS PLEASE IM STRUGGLING
Answer:
Final point (-4, 4) Original point (3, -4)
Answer:
Again, I can't move it for you but I can give you the points!
original: (3, -4)
final: (-4, 4)
Help please it is do in 1hour
Answer:
The area of the triangle is 40 [tex]yd^2[/tex].
Step-by-step explanation:
The formula for finding the area of a triangle is [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] and [tex]h[/tex] represents the base length and height respectively. Since the height is 10 yards, and the base length is 8 yards, that means the area will be [tex]\frac{1}{2} * 8 * 10 = \frac{1}{2} * 80 = 40 yd^2[/tex].
estimate the following by rounding off the numbers to nearest 100
a)875 + 291 b)866 x 625
Answer:
a 875 is 900 b 866 multiply by 625 ans is 541280
what is the volume of this container? 2000 cm? 2125 cm? 125 cm? 1875 cm?
Answer:
125cm^3
Step-by-step explanation:
5x5x5=125
Hope this helped :)