la figure ci-dessus représente une pyramide du sommet S.
Sa base le rectangle EFGH et sa hauteur SO, tel que O est le centre
du rectangle EFGH.
PETIT PLUS: SE=6.5 cm , EF= 4 cm , FG=3cm.
1)- calculer la distance EG.
2)-Montrer que: SO=6 cm
3)-Calculer le volume de la pyramide SEFGH
SVP JE DOIS LE RENDRE DEMAIN .
ET MERCI
Answer:
Step-by-step explanation:
Voir le diagramme ci-attaché.
1) Distance EG
À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25
=> EG = sqrt(25) = 5
2) Distance SO
Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5
Encore, à l'aide du même théoreme,SE^2 = SO²+EO²
SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36
SO = sqrt(36) = 6 QED
3) Volume de la pyramide
V = (Aire de la base * hauteur ) /3
= (EF * FG) * SO /3
= (4*3) * 6 /3
= 24 cm³
For every person who walked, there were forty-four who drove. If 270 made the trip, how many walked? PLEASE HELP! NO SPAMMING OR I WILL REPORT!
The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an annual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this year?
neither Grace nor Roger
only Grace
only Roger
both Grace and Roger
Answer:
Roger
Step-by-step explanation:
Since he is attending more shows, he will benefit. He will save a net amount of $40
Answer:
roger
Step-by-step explanation:
Will mark brainliest!
Which of the following is the result of using the remainder theorem to fin F(-2) for the polynomial function F(x)=-2x^3+x^2+4x-3?
A. -23
B. 9
C. -11
D. 3
Answer:
B
Step-by-step explanation:
To find f(- 2) substitute x = - 2 into f(x)
f(- 2) = - 2(- 2)³ + (- 2)² + 4(- 2) - 3
= - 2(- 8) + 4 - 8 - 3
= 16 + 4 - 8 - 3
= 9 → B
The equation of a circle is (x+8)2+(y-5)2=14. What are the coordinates of the center of the circle?
Answer:
(-8,5)
Step-by-step explanation:
The standard form of the equation of a circle is expressed as;
(x-a)^2+(y-b)^2 = r^2 where;
(a, b) is the centre
r is the radius
Given the equation (x+8)^2+(y-5)^2=14.
Compare the two expressions
-a = +8
a = -8
Similarly;
-b = -5
b = 5
Hence the centre of the circle is at (-8,5)
In triangle FGH, angle G is 30 degrees and angle H is 100 degrees. What is the measure of angle F? * 1 point 50 degrees 70 degrees 130 degrees 30 degrees
Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Y=5/1 -2
Step-by-step explanation:
I dont know if u can read the answer but its 5 over 1 and thy Y-int is -2
Please help !
What is 92% of 17?
Answer:
15.64
Step-by-step explanation:
92% of 17 we can write it like this!
[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]
92% goes in part, 17 goes in whole then 100% below 92!
[tex]\frac{92}{100} =\frac{x}{17}[/tex]
Then, 17 × 92 = 1,564 ÷ 100 = 15.64
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
A watch was purchased for Rs. 150 and sold for Rs.300. Find the profit percent.
a.150%
b.50%
c.100%
d.15%
Answer:
c. 100%
Step-by-step explanation:
profit or loss = (sale price - purchase price)/(purchase price) * 100%
profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%
profit or loss = (Rs. 150)/(Rs. 150) * 100%
profit or loss = 1 * 100% = 100%
Since the result is positive it is a profit.
Answer: The profit was 100%.
I need help with my geometry work!
Answer:
43 degrees
Step-by-step explanation:
Alexander has a square-shaped basket of apples. The
basket covers the area of 36 feet^2
. Find the length of any
side of the basket?
Answer:
6 ft
Step-by-step explanation:
Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36
Sasha and Donnel run separate lawn care business. Sasha's charge is represented by
the curve and Donnel's is represented by the line. Sasha charges $1 per meter
square of lawn, and Donnel charges $1 per perimeter side.
Choose the appropriate equation for Sasha and Donnel respectively:
Oy= 4.rº, y
y = 0
Oy= 42, y=
22
Oy= 2², y = 42
Oy= x, y= 42
Need help on this question on edge please
Answer:
D. (x+7 , y+4)
Step-by-step explanation:
x values increase by 7
y values increase by 4
What are the x- and y- intercepts for the graph of 5x-2y= 20
Answer:
x intercept: 4 y intercept: -10
Step-by-step explanation:
Use desmos graphing calculator :)
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x
Answer:
Name:- Trinomial
Degree:- 5 [ the highest power of x is 5 ]
hope it is helpful to you
What is the median of this data set? {22, 5, 9, 1, 7, 3) Enter your answer in the box median =
Answer:
7 is the answer to your question
Determine whether the equation is a linear equation. If so, write the equation in standard form.
a) y = 2x – 3
b) + =
c) 4x = 2y
Step-by-step explanation:
The general form of a linear equation is given by :
y = mx +b
Where
m is the slope
b is the y-intercept
(a) y = 2x - 3
It is in the form of a linear equation.
Standard form, y =2x+(-3)
(b) The equation is 4x = 2y
or
2y = 4x
y = 2x + 0
It is in the form of a linear equation with slope of 2 and y-intercept of 0.
At What values of X, does FX equals zero?
Answer:
the value at which f(x)=0 are the zeros of the function f(x). The graph of such a function will crosses x-axis at that point and the point is (x,0).
Step-by-step explanation:
A teacher recorded the number of days her students went on vacation. Which statements describe the data? Select all that apply. Please help
Answer:
The students went on vacation for average 40 days.
The high school students went for more days than college students.
Step-by-step explanation:
The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.
Please help
Linear Pairs of Angles
Use the value of x to find the
measure of Angle 1.
X = 25
Z1 = [?]° Z2 = [ 1°
5x - 5 2x + 10
22=0
Answer:
5x-5
This equal : 120
2x+10
the second is 60
Question 4 of 10
The mean of 100 numerical observations is 47.83. What is the value of the
sum of all 100 numbers?
O A. 47.83
O B. 4783
O C. 0.4783
O D. 478.3
O E. 4.783
Answer:
B; 4,783
Step-by-step explanation:
To find the sum, we have to multiply the number of observations by the mean
Therefore, we simply have the sum calculated as follows;
100 * 47.83 = 4,783
If f(x) = x3 + 5, then what is the remainder when f(x) is divided by x + 3?
==========================================================
Explanation:
You could use synthetic division or polynomial long division to find the answer, but a much quicker way is to apply the remainder theorem.
That theorem says that if we divide p(x) over (x-k), then the remainder is p(k).
We're dividing over x+3, or x-(-3), so we can see that k = -3 in this case.
Plug this into the function
f(x) = x^3+5
f(-3) = (-3)^3 + 5
f(-3) = -27 + 5
f(-3) = -22 is the remainder
------------
If you want to use polynomial long division or synthetic division, then check out the diagram below.
help please asap ASAP ASAP ASAP PLEADEEEEEEEEE
1/2x+1/3y=7
1/4x+2/3y= 6
What is the solution of the system shown?
Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 14 feet and it takes 6 seconds for it
to make a complete revolution? Round the solutions to two decimal places.
Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :
[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s[/tex]
Also,
[tex]v=r\omega[/tex]
Where
[tex]\omega[/tex] is the angular speed
So,
[tex]\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s[/tex]
Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole
Answer:
10√3m
Step-by-step explanation:
Given :-
Angle of elevation = 60° Distance between man and pole = 60°We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,
=> tan 60° = p/b
=> √3 = h / 10 m
=> h = 10 m× √3
=> h = 10√3 m
Which of the following could not be the graph of a function of X?
Answer:
D
Step-by-step explanation:
A function cannot have to values of y for a same x, and he only which have it is the graph D
help please i don’t know the answer
Answer:
[tex]6A=8B=6\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right][/tex] [tex]-8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right][/tex]
[tex]=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right][/tex] [tex]-\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right][/tex]
[tex]=\left[\begin{array}{ccc}56&50&-14\\-120&92&62\\-78&26&2\end{array}\right][/tex]
[tex]So,~ A ~is ~your~ answer~[/tex]
---------------------------
hope it helps..
have a great day!!
what’s the area of 4cm
2cm
4cm
Rcm
11 cm
2 cm
Answer:
If the area of a square = 4cm^2
then the side length of = √4 = 2 cm