Answers
Answer:
Option (1)
Step-by-step explanation:
To calculate the volume of the given pyramid,
Formula to be used,
Volume = [tex]\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})[/tex]
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(9)(15)[/tex]
= 67.5 cm²
Now volume of the pyramid = [tex]\frac{1}{3}(67.5)(32)[/tex]
= 720 cm³
Therefore, Option (1) will be the correct option.
Related Questions
María compró 78 metros de cuerda, ella dividió en 6 partes iguales la cuerda el día martes 8 de mayo ¿Cuántos metros mide cada trozo? *
a) Cada trozo mide 312m
c) Cada trozo mide 13m
d) cada trozo mite 92m
b) Cada trozo mide 9m y 75cm
Answers
Answer:
The length of each piece is 13 m.
Step-by-step explanation:
Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?
a) Each piece measures 312m
c) Each piece measures 13m
d) each piece mites 92m
b) Each piece measures 9m and 75cm
Total length, L = 78 m
Number of pieces, n = 6
length of each piece,
d = L/n = 78/6 = 13 m
So, the correct option is (c).
Which refers to a method that relies on sound waves and is used by different animal species for navigation, communication, and finding food? echolocation analog signaling infrared detection digital location
Answers
Answer:
I believe echolocation
Answer:
echolocation
Step-by-step explanation:
The area of a trapezoid is represented by the expression 12x2 + 7x – 10. The other dimensions are shown in the diagram below. Determine an expression for the height of the trapezoid.
Answers
Answer:
(24x^2 + 14x – 20) /(3x+5) = h
Step-by-step explanation:
The area of a trapezoid is given by
A =1/2 (b1+b2) h
12x^2 + 7x – 10 = 1/2 ( x+3+ 3x+2)h
Multiply each side by 2
24x^2 + 14x – 20 = ( x+3+ 3x+2)h
Combine like terms
24x^2 + 14x – 20 = ( 4x+5)h
Divide each side by (4x+5)
(24x^2 + 14x – 20) /(4x+5) = ( 4x+5)h/(4x+5)
(24x^2 + 14x – 20) /(4x+5) = h
Solve the equation to find the value of m and n.
2m + 3n = -5
5m + 3n = 1
Answers
Answer:
m = 2, n = - 3
Step-by-step explanation:
Given the 2 equations
2m + 3n = - 5 → (1)
5m + 3n = 1 → (2)
Subtract (2) from (1) term by term to eliminate n
2m - 5m = - 5 - 1
- 3m = - 6 ( divide both sides by - 3 )
m = 2
Substitute m = 2 into either of the 2 equations and solve for n
Substituting into (1)
2(2) + 3n = - 5
4 + 3n = - 5 ( subtract 4 from both sides )
3n = - 9 ( divide both sides by 3 )
n = - 3
Step-by-step explanation:
2m + 3n = -5
5m + 3n = 1
(Multiply each equation by a suitable number so that the two equations have the same leading coefficient)
6m + 9n = -15
15m + 9n = 3
(Subtract the second equation from the first)
15m- 6m = -15-3
-9m= -18
-9m/-9= -18/-9
m= 2
(Solve this new equation for m)
5(2) +3n = 1
10+3n=1
3n=1-10
3n=-9
3n/3 = -9/3
n= -3
(Substitute m = 2 into either Equation 1 or Equation 2 above and solve for n )
Un deposito de agua tiene forma de un cubo de 10 metros de arista ¿cual es la capacidad del deposito?
Answers
Respuesta:
1000m³
Explicación paso a paso:
La capacidad del tanque viene dada por el volumen del cubo;
El volumen, V del cubo se da como: a³
V = a³
El borde del cubo mide 10 metros.
Por eso,
Volumen = 10³
Volumen = 10 * 10 * 10
Volumen = 1000 m³
Por lo tanto, la capacidad del tanque de agua es de 1000 m³.
Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?
Answers
Answer:
creo que es 96%
Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.
arrange in order ^6√5,^3√3 and √2
plz help
Answers
⁶√5 < √2 < ³√3
Step-by-step explanation:
Given: ⁶√5, ³√3, √2
[tex] = {5}^{ \frac{1}{6} } , \: {3}^{ \frac{1}{3} } , \: {2}^{ \frac{1}{2} } \\ = {({5}^{ \frac{1}{6} })}^{6} , \: {({3}^{ \frac{1}{3} })}^{6} , \: {({2}^{ \frac{1}{2} })}^{6} \\ = 5, \: {3}^{2} , \: {2}^{3} \\ = 5, \: 9, \: 8 \\ \\ 5 < 8 < 9 \\ = {5}^{ \frac{1}{6} } < \: {2}^{ \frac{1}{2} } \: < {3}^{ \frac{1}{3} } \\ [/tex]
1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?
Answers
Answer:
1 Hour
Explanation:
•A horse ride costs P120.00 per person for the
first 30 minutes.
•P50.00 for every additional 10 minutes.
I Spend P270.00, I Subtracted P120.00 For the
first 30 minutes.
270 - 120 = 150
150/50 = 3
If I Spend P50.00 for every additional 10 minutes
Then:
3 * 10 = 30
P120.00 For the first 30 minutes.
30 minutes + 30 minutes = 60 min = 1 Hour
f(x) = 3x - 4
x is -2
Answers
Please help? I really need it
Answers
Answer:
216 in²
Step-by-step explanation:
a = bh
a = 18 * 12
a = 216
The triangles are similar by
1-AA
2-ASA
3-SSS
4-SAS
Answers
Answer:
It will be the 1st one that is The triangles are similar by AA
Hope it helped
Anyone.....................
Answers
Answer:
[tex] \frac{1}{p - q} [/tex]Step-by-step explanation:
[tex] \frac{ {p}^{2} + 2pq + q}{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{ {p}^{2} +2 \times p \times q+ {q}^{2} }{p^2−pq^2+p^2q−q^3} [/tex][tex] \frac{(p + q {)}^{2} }{p^3−pq^2+p^2q−q^3} [/tex][tex] \frac{( p+ q {)}^{2} }{p(p^2−1q^2)+q(p^2−q^2)} [/tex][tex] \frac{ (p + q {)}^{2} }{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{(p+q {)}^{2} }{(p+q)(p−q)(p+q)} [/tex][tex] \frac{(p + q {)}^{2} }{(p + q {)}^{2}(p - q) } [/tex] ( cancel common factors)
[tex] \frac{1}{p - q} [/tex]Hope it is helpful...PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.
Answers
Sorry for the wrong answer
Answer:
0.46 Newtons
Step-by-step explanation:
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
f = k/d²
--------------------------------
to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.
0.35 = k/8²
0.35 = k/64
multiply both sides by 64
22.4 = k
---------------------------
Work out F (rounded to 2 DP) when d=7 metres.
f = 22.4/7²
f = 22.4/49
f = 0.46
Which of the following conditions are sufficient to show that the two polygons are congruent?
A. Slopesc = Slopen and slopezo = slopeo
B. The lengths of all corresponding sides are equal: AB = LM, BC = MN, CD = NO, AD = LO.
C. None. The polygons cannot be congruent because they have different orientations.
D. The rise and run of the translation between each pair of corresponding points are the same.
Answers
Answer:
(B) Two number is the answer of your question.
Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?
Answers
Answer:
1/12 of the lasagna was left
Step-by-step explanation:
To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).
Answer:
[tex]\frac{1}{4}[/tex] of the lasagna
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]
4 = 2 × 2
3 = 3
6 = 2 × 3
LCM = 2 × 2 × 3
LCM = 12
4 × 3 × 6 = 72
[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]
[tex]\frac{18+12+24}{72}[/tex]
[tex]\frac{54}{72}[/tex]
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3 × 3
GCF = 18
[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]
[tex]1-\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]
Las dos cifras de un número suman 11 . Si las cifras se invierten de orden se invierten de orden , se obtiene otro número que excede en 27 unidades al anterior¿De q número se trata ?
Answers
Answer:
El número es el 47
Step-by-step explanation: Con los dígitos de los siguientes números se obtiene que su suma es 11
47 4 + 7 = 11
38 3 + 8 = 11
29 2 + 9 = 11
Si se cambia el orden de los dígitos:
47 se convierte en 74 74 - 47 = 27
38 " " 83 83 - 38 = 45
29 " " 92 92 - 29 = 63
Entonces el número solicitado es el 47
The graph of f(x) = x^2+ 3 is translated to produce the graph
of g(x) = (x + 2)^2+ 3. In which direction was the graph of f
translated?
left
right
up
down
Answers
Answer:
the graph of f(x) is translated 2 units to the LEFT
Step-by-step explanation:
The original function, f(x) = x^2 + 3, has its vertex at (0, 3). If we translate the graph h units to the right, this function becomes g(x) = (x - h)^2 + 3. The x-coordinate of the vertex appears h units to the right of the original vertex.
In this case g(x) = (x + 2)^2 + 3, which tells us that h = -2. The effect of inserting the "-2" is that the graph of f(x) is translated 2 units to the LEFT.
If, on the other hand, we went from f(x) = x^2 + 3 to g(x) = (x - 2)^2 + 3, the original graph would be translated 2 units to the right.
Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer.
Answers
What are the names of the segments in the figure
Answers
Answer:
C. The three segments are segments AB, CA, and AC
Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?
Answers
Answer:
Number of kilometer he run in 3 week = 147 kilometer
Step-by-step explanation:
Given:
Cleiton's daily run = 7 km
Find:
Number of kilometer he run in 3 week
Computation:
Number of days in a week = 7
Number of days in 3 week = 7 x 3
Number of days in a week = 21 days
Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week
Number of kilometer he run in 3 week = 7 × 21
Number of kilometer he run in 3 week = 147 kilometer
If one candy bar weighs 3 ounces, what is the weight of 11 candy bare
Answers
Answer: 3 times 11 would be 33 ounces.
Step-by-step explanation:
33 is the answer.
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answers
Answer:
Step-by-step explanation:
Which statement is true?
Answers
Answer:
I believe it is the 3rd one down
Step-by-step explanation:
Because the two angles make an angle of 180, supplementary angles make one angle of 180 and it says that 2 and 3 are alike because they make a supplementary angle and there is a line dividing them that looks like both angles = 90 degrees
a merchant gains 15% by selling an article for $ 150. by how much does he sell it to double his profit ?
Answers
Answer:
30/100×150=
24/5%, that is the answer
(15% * x) + x = $150
x = about $130.44
$130.4347… * 2 = $260.80
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.
20% tip on a bill of $945.41
Answers
Answer: 189.082
189.082 is 20% of 945.41
Step-by-step explanation:
What is 20% of 945.41?
Y is 20% of 945.41
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 20% * 945.41
Converting percent to decimal:
p = 20%/100 = 0.2
Y = 0.2 * 945.41
Y = 189.082
Find the equation of the line that passes through points A and B.
Answers
Answer:
y = 2x + 5
Step-by-step explanation:
Step 1 : Find slope:
[tex]slope , m = \frac{y_B - y_A}{x_B - x_A}[/tex]
[tex]=\frac{-1 - 7}{-3-1} \\\\= \frac{-8}{-4}\\\\ = 2[/tex]
Step 2 : Find the equation of the line :
[tex](y - y_A) = m(x - x_A) \ or \ (y - y_B) = m(x - x_B)\\\\we \ will \ consider \ points \ of \ A :\\\\[/tex]
[tex](y - 7) = 2(x -1)\\\\y - 7 = 2x - 2\\\\y = 2x - 2 + 7\\\\y = 2x + 5[/tex]
A 9 year old boy has $12 saved.
He decides to start saving on a regular basis because he selss aluminum
cans
He figures out that he can save $2.50 per day.
What is the total amount he will have saved after 1 day?
2 days?
3 days?
17days?
X days?
Organize the information however you think is best and find out the totals.
Do...
g
in
Answers
Answer:
.............................
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
• Points S, P, Q, and Rare midpoints of ABCE
• T, N, L, and Mare midpoints of PQRS
Write the equation of line ML. Show your work.
Answers
Answer:
ML = √[¼ (EC)²]
Step-by-step explanation:
ML² = ½(QR)²
QR² = ½(EC)²
so, ML² = ¼ (EC)²
=> ML = √[¼ (EC)²]
The equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex] .
Concept:We will find the length of SE and ER.Then we will find the length of SR by using the Pythagoras theorem in Δ ESR.Then, we will find the length of MR and RL and hence, again using the Pythagoras theorem in Δ MRL and find the length of ML.How to solve the given question?Since, S is the midpoint of AE.[tex]SE = \frac{AE}{2}[/tex]
Similarly, [tex]RE = \frac{CE}{2}[/tex]In Δ SER, ∠E = 90°,
∴ By Pythagoras theorem, SR² = SE² + ER²
∴ [tex]SR^2 = (\frac{AE}{2})^2 + ( \frac{RE}{2})^2 = \frac{AE^2 + CE^2}{4}[/tex] ...... (1)
∴ Similarly, [tex]RQ^2 = \frac{BC^2 + CE^2}{4}[/tex] ............ (2)
Since, M & L are the midpoints of SR and RQ.
[tex]MR = \frac{SR}{2}[/tex] & [tex]RL = \frac{RQ}{2}[/tex]
In Δ LMR, ∠R = 90°,
∴ By Pythagoras theorem, ML² = RM² + RL²
∴ [tex]ML^2 = (\frac{SR}{2})^2 + ( \frac{RQ}{2})^2 = \frac{SR^2 + RQ^2}{4}[/tex]
Substituting value of SR and RQ from 1 and 2.
[tex]ML^2 =\frac{1}{4} [ \frac{AE^2 + CE^2}{4} + \frac{BC^2 + CE^2}{4} ][/tex]
As ABCE is parallelogram, BC = AE
∴ [tex]ML^2 =\frac{1}{4} [ \frac{2AE^2 + 2CE^2}{4} ] = [ \frac{AE^2 + CE^2}{8} ][/tex]
[tex]ML = \frac{AC}{2\sqrt{2} }[/tex]
Thus, the equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex] .
Learn more about parallelogram here:
https://brainly.com/question/970600
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The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism.
Answers
Answer:
I don't see the triangular prism.
Step-by-step explanation:
here is the problem if you want to help them
Find the solution of y = 6x + 1 for x = 5
Answers
Answer:
y = 31 when x = 5
Step-by-step explanation:
We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.
Substituting 5 for x in y = 6x + 1, we get
y = 6(5) + 1 = 31
y = 31 when x = 5
[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]
[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]
Hence, the final answer is:[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]
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