Answer:
The area of the roof is 3.80 m².
Step-by-step explanation:
The lateral surface area of an octagonal pyramid is given by:
[tex]A = 2s(\sqrt{4h^{2} + 5.828s^{2}})[/tex] (1)
Where:
s: is the length of the base edge = 0.5 m
h: is the height
We can find the height from the slant height (S = 1.9 m):
[tex] S = \sqrt{h^{2} + 1.457s^{2}} [/tex] (2)
By solving equation (2) for "h" we have:
[tex] h = \sqrt{S^{2} - 1.457s^{2}} = \sqrt{(1.9)^{2} - 1.457(0.5)^{2}} = 1.80 m [/tex]
Now, we can calculate the area of the roof (equation 1):
[tex]A = 2s(\sqrt{4h^{2} + 5.828s^{2}}) = 2*0.5(\sqrt{4(1.80)^{2} + 5.828(0.5)^{2}}) = 3.80 m^{2}[/tex]
Therefore, the area of the roof is 3.80 m².
I hope it helps you!
calculate decrease in 71.2kg of 25%
Answer:
53.4.......
follow me........
The graph shows how many miles Barrett traveled over a 5 hour time frame. The point (1,50) is on the graph what is the unit rate for the first hour?
Answer:
Step-by-step explanation:
The answer is B 50
in a given classroom the number of girls is 10 greater than number of boys if the ratio of the number of girls to the number of boys is 7:5 then find a) the number of girls b) the number of boys c) the total number of students
Answer:
a) 35, b) 25, c) 60
Step-by-step explanation:
The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.
Number of boys: b
Number of girls: b + 10
Ratio of girls:boys is 7:5, so
[tex]\frac{b+10}{b}=\frac{7}{5}[/tex]
"Cross multiply" to get
[tex]7b=5(b+10)\\7b=5b+50\\2b=50\\b=25[/tex]
There are 25 boys. There are 10 more girls, so the number of girls is 35, and the total number of students is 60.
That's a packed classroom!
(b) Principal = * 8000, Rate = 8% p.a., Time=2*1/2years
Answer:
Step-by-step explanation:
time=1 years
interest=principal*time*rate/100
=8000*1*8/100
=64000/100
=640
therefore interest=640
Answer:
Compound Interest = 9680
Step-by-step explanation:
The formula of Compound Interest: [tex]A = P(1 + \frac{r}{n} )^n^t[/tex]
Where;
A = Compound Interest
P = Principal amount
r = Rate of interest
n = amount of deposite annually
t = total time
Therefore:
[tex]A = 8000(1 + \frac{0.08}{1})^1^*^2^.^5[/tex]
[tex]A = 8000(1 + 0.08)^2^.^5[/tex]
[tex]A = 8000(1.08)^2^.^5[/tex]
A = 8000(1.21)
A = 9680
Therefore, the compound interest = 9680
Hope this helps!
Questions 7,11,12,14,15and 16 please thanks
7) 20y-8=52
20y=60
y=3
11)2x+17=5x-4
21=7x
x=3
12)2x+7=16-4x
6x=9
x=9/6
x=3/2
x=1.5
14)8y+4=24-2y
10y=20
y=2
15)7-3x=2x+2
5=5x
x=1
16)
[tex] \frac{x - 3}{2} = 5 \\ x - 3 = 10 \\ x = 13[/tex]
Broderick needs to solve the formula below for r. Which correctly describes the first step he should take?
The first step to solve for r is (J) He should divide both sides of the equation by π.
How to solve the formula for r?The equation is given as:
A= πr^2
Divide both sides of the equation by π.
So, we have:
r^2 = A/π
Hence, the first step to solve for r is (J) He should divide both sides of the equation by π.
Read more about subject of formulas at:
https://brainly.com/question/11154728
HELP WORTH 50 points
Answer: π = 218956.44
Step-by-step explanation:
π = (132π^2)4
π = (54739.11)4
π = 218956.44
Answer:
218956.4
Step-by-step explanation:
A circle with a radius of 6 feet has a central angle of 120° in terms of π what is the area of the sector?
PLEASEEE HELPPP I REALLY NEED IT IM TAKING A TESTTT
Answer:
Coping is very bad habit.... sorry I will not answer your question because ur coping...
Answer:
A. Quadrilateral
B. 360° = 2(82°) + 2( 3x - 1 )°
C. f(x) = ( 3x - 1 )
Step-by-step explanation:
360° = 164° + (6x - 2)°
360° - 164° + 2 = 6x
196° = 6x
x = 196°/6
x = Rationalize(32.33333333333)
621,584 round to the nearest ten
Answer:
621,580
and i have to add at least 20 characters so how is everyone’s day?
Answer:
621,580
Step-by-step explanation:
nearest 10 means finding which 10 they are nearest to. and 84 is rounded to 80 because the number is not 85 or higher if that makes sense.
How many solutions does this equation have?
-5x-2=-5x-5
Answer:
4
Step-by-step explanation:
Answer: It has no solutions.
(Hope this helps!)
If the area of AABC is D, give the expressions that complete the equation for the measure of ZB?
m
m=
n =
Given:
The figure of triangle ABC.
The area of the triangle ABC is D.
[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex]
To find:
The value of m and n in the given expression.
Solution:
Let h be the height of the triangle ABC.
Area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times h[/tex]
Where, b is the base and h is the height of the triangle.
[tex]Area=\dfrac{1}{2}\times a\times h[/tex]
The area of the triangle ABC is D.
[tex]D=\dfrac{1}{2}\times a\times h[/tex]
[tex]2D=ah[/tex]
[tex]\dfrac{2D}{a}=h[/tex] ...(i)
In a right angle triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin B =\dfrac{h}{c}[/tex]
[tex]\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}[/tex] [Using (i)]
[tex]\sin B =\dfrac{2D}{ac}[/tex]
[tex]m\angle B =\sin ^{-1}\dfrac{2D}{ac}[/tex] ...(ii)
We have,
[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex] ...(iii)
On comparing (ii) and (iii), we get
[tex]m=2D[/tex]
[tex]n=ac[/tex]
Therefore, the required values are [tex]m=2D, n=ac[/tex].
Part A Complete the stem and leaf plot for this data on the average cruising speeds of Red Eagle's planes.
0.78, 0.86, 0.83, 0.83, 0.79, 0.83, 0.85, 0.85, 0.85, 0.81, 0.84, 0.84, 0.82, 0.82, 0.81, 0.83, 0.84, 0.83, 0.85, 0.85, 0.81, 0.80, 0.82, 0.82, 0.80, 0.82, 0.87, 0.84, 0.84, 0.86
ASAP PLEASE!!!! DUE IN 5 MINUTES!!!!
50 POINTS!!!!
Answer:
hope this helps you. look it once
Which length is equal to 4 yards 3 feet?
Answer:
12
Step-by-step explanation:
Need help, no links. Thanks
Answer:
Solution given:
now
base[b]=8
hypotenuse [h]=17
perpendicular [p]=15
by using Pythagoras law
p²+b²=h²
15²+8²=17²
289=289
It satisfied so
AB is a tangent to the circle.
An all-star baseball team has a roster of seven pitchers and three catchers. How many pairs of pitchers and catchers can the manager select from this roster?
Answer:
3 pairs
Step-by-step explanation:
there is only 3 catchers so there can only be three pairs
In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answer:
Step-by-step explanation:
In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
P(F U P) = P(F) + P(P) - P(F n P)
I need help with this!
Answer:
A) 21d + 48 = 426
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
if the x is the like repeating one, then its the 21 per day, see it has per in it
for the 48, its just additional so we put it equal to 426 since thats the total amount giving us the equation
21d + 48 = 426
21d = 378
d= 18
it took 18 days
The length of a line segment is 13 units. One endpoint of the line segment is -3, 7. What four points could be the other endpoints of the line segment.
Answer:
the length of a line s3gment is 13 units then its 169
Hellppppppppppppp I neeeeed itttt
Answer:
20
Step-by-step explanation:
if the radius of the circle is 8 units find the area of the hexagon
The sum of interior angle of the given regular hexagon is 720 degree. The area of the hexagon with side of 8 units is 96√3 square units
Area of a hexagonThe sum of interior angle of the given regular hexagon is 720 degrees
The measure of one of the angles is 120 degrees
<ABO = 120/2 = 60 degrees
Since all the angles of triangle ABO are the same, hence AB = 8 units
Determine the area of the hexagon
A = 3√3/2 a²
Substitute a = 8 units
A = 3√3/2 (8)²
A = 3√3/2 * 64
A = 3√3 * 32
A = 96√3 square units
Hence the area of the hexagon with side of 8 units is 96√3 square units
Learn more on area of hexagon here: https://brainly.com/question/2919364
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A store manager receives a delivery of 2 boxes of lightbulbs. Each box contains 25 lightbulbs. The store manager tests all the lightbulbs and finds that 2 of them are defective. Based on these results, what can the store manager predict about the next delivery of lightbulbs?
Group of answer choices
A. A delivery of 6 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
B. A delivery of 5 boxes will contain 10 more defective lightbulbs than a delivery of 2 boxes
C. A delivery of 4 boxes will contain 2 more defective lightbulbs than a delivery of 2 boxes
D. A delivery of 3 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
Answer:
Answer is C
Step-by-step explanation:
There is one faulty light bulb in each box. 4 boxes 4 bad lightbulbs since there we two in the first to 2+2 is 4
Miguel does 150 lunges and 120 pushups each week. Which statement is true about the ratio of lunges to pushups?
For every 5 lunges Miguel does, he does 4 pushups.
For every 4 lunges Miguel does, he does 5 pushups.
For every 15 lunges Miguel does, he does 4 pushups.
For every 12 lunges Miguel does, he does 5 pushups.
Answer:
For every 5 lunges, 4 pushups
Step-by-step explanation:
Pls help ASAP will mark Brainlyest!!
Find the area of the following figure.
1. 312 cm2
2. 400 cm2
3. 252 cm2
4. 300 cm2
Answer:
312cm2
Step-by-step explanation:
Area of the triangles:
A =1/2bh
A=1/2(10*12) = 1/2*120=60.
There are two triangles. 60*2=120. 120 is the area of both triangles.
Area of the rectangle:
16*12=192.
120+192=312cm2
What is the x-intercept of the line shown below? Enter your answer as a
coordinate pair.
Answer:
do you have a graph of the line?
write an absolute value equation that has the solutions x=2 and x=14
Answer:
|2| and |14|
Step-by-step explanation:
Answer:
if I am not mistaken I think my answer 56
7.(08.03)
Consider the following pair of equations:
y = x + 4
y = - 2x - 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (20 points!)
Answer:
(-2, 2).
Step-by-step explanation:
y = x + 4
y = - 2x - 2
Substitute y = x + 4 in the second equation:
x + 4 = -2x - 2
x + 2x = -2 - 4
3x = -6
x = -2.
Now substitute x = -2 in the first equation:
y = -2 + 4 = 2.
Check the results by substituting for x and y in equation 2:
2 = -2*-2 - 2 = 4 - 2 = 2. - this checks out.
Answer:
(-2, 2).
Step-by-step explanation:
d
Neeeddddd HELP LOOKONG FOR ANSWERS!!
Answer:
a.) 13 students
b.) 53 members
Step-by-step explanation:
a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.
b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.
HI PLEASE ANSWER EACH OF THESE QUESTIONS (if you can) IM GIVING OUT 50 POINTS AND BRAINLIEST TO THE BEST ANSWER !! D:
Answer:
4/55
90
90
Step-by-step explanation:
P= 4/55
mean = 90
median = 90
---------------------
Answer:
1) 4/55
2) 90
3) 90
4) 1046.67 cubic feet
Step-by-step explanation:
7. Which relation is a function?
CC8F.1
A. {(0,0). (1.1), (2.2), (0,3)}
B. {(0,0). (0,1),(0,2), (0,3)}
C. {(0,0), (0.1), (1.0), (0.2)}
D. {(0,0), (2.0), (4.0), (6,-2)}
Answer:
D. relation is a function
hope this helps :-))