Step-by-step explanation:
this is confusing.
first the description says "the internal dimensions".
and then it tells us the thickness of the tank walls (1cm).
so, I am not sure what the given numbers describe.
in any case, the volume is length × width × height.
so, either
48×38×32
or
46×36×31 (as for length and width we need to consider 2 walls, one on each end, for the height only one wall, as the tank is open and lidless.
whatever you choose, make sure to mark the result as cm³.
Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.
The equation 2b + 6 = 70 represents the given scenario. What does b represent?
Answer:
seats in each bus
Step-by-step explanation:
total no.of seats = 64
so, the no.of seats in each bus = 64/2 =32
therefore , b denotes the no.of seats in each bus
PLEASE MARK ME AS BRAINLIEST .
find the mean of the following,-6,-10,-4,8,9,-2,5,6.
[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{( - 6) + ( - 10) + ( - 4) + 8 + 9 + ( - 2) + 5 + 6}{8} \\ = > mean = \frac{6}{8} \\ = > mean = 0.75[/tex]
This is the answer.
What is sin 28°?
62
8
17
90
15
28
A.
Sooden
O c.
O
Answer:
the sin of 28 degree is 28
Step-by-step explanation:
it's the same degree in radians I hope this help
someone help me solve this pls !!
Answer:
9 (or 18)
9 (or 18)
18 (or 36)
Step-by-step explanation:
If B is midpoint if AC, then AB = BC
AB = 3x
BC = 5x - 6
So...
3x = 5x - 6
==> 2x = 6
==> x = 3
AB = BC = 3×3 = 5×3 - 6 = 9
And...
AC is AB + BC (since B is midpoint)
==> AC = 9 + 9 = 18
((Answer may be twice this. Picture is unclear if "3x" and "5x - 6" are values of AB and BC (resp.) or if they are midpoint values of AB and BC, in which case everything would just be doubled (except for x, the 2's would cancel out).))
If the expression below is equal to yᵃ for all positive values of y, what is the value of a?
Answer:
y^5/12
Step-by-step explanation:
y ^ 1/4 * y ^ 1/2
-------------------------
y ^ 1/3
We know a^b * a^c = a^(b+c)
y^ 1/4 * y^1/2 = y^ (1/4+1/2) = y^(1/4+2/4) = y^(3/4)
y ^ 3/4
---------
y ^ 1/3
We know a^b / a^c = y(b-c)
y^(3/4 - 1/3) = y^(9/12 - 4/12)
y^5/12
If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43, If not, you pay me $11 (Aces are considered the highest card in the deck.) Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values
Answer:
$1.46
Step-by-step explanation:
Required cards for winning :
1's, 2's and 3's
There are 4 cards of each in a total of 52 cards ;
Therefore, number of winning cards ;
(4 * 3) = 12 cards
Hence,
P(winning) = 12 / 52 = 3 / 13
P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13
Earning (X)
Amount earned for winning = $43
Amount lost for not winning = $11
X ___ $43 ______ - $11
P(X) _ 3/13 _______ 10/13
Expected value, E(X) = ΣX*P(X)
Σ(X) = (43 * 3/13) + (-11 * 10/13)
E(X) = 9.9230769 - 8.4615384
E(X) = 1.4615385
E(X) = $1.46
Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.
The diagram as described in the problem.
Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB
Select the correct answer.
Function h is a transformation of the parent exponential function, f(x) = 2^x.
.h(x)=-3.2^x
-
Which statement is true?
A=131+122+199+204 trả lời cho tớ đi
Answer:
A=656 trả lời cho tớ đi...
A football was kicked through the air and it followed the path h\left(s\right)=-3s^2+75h(s)=−3s 2 +75 . Let h\left(s\right)h(s) represent the height of the soccer ball after, s, seconds.
Complete question is;
A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.
Find the time at which the soccer ball hits the ground.
Answer:
s = 5 seconds.
Step-by-step explanation:
We are given the function;
h(s) = −3s² +75
Where;
h(s) is height at time s
s is the time taken
Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.
Thus;
−3s² +75 = 0
−3s² = -75
s² = 75/3
s² = 25
s = √25
s = 5 seconds.
Ethan says that (2x+5)/2 can be reduced to x + 5. Braylon says this is not correct. Who is right and why?
Answer:Braylon is right
Step-by-step explanation:
it is reduced to x+5/2
Answer:
Braylon is correct, after dividing the numbers given I got _::x+5/2::_
and it cant be simplified more
Someone help me pls ..
Answer:
because they are both in the circle
Step-by-step explanation:
Find the value of DE.
Answer:
DE = 5
Step-by-step explanation:
The 3 sides of the triangle are congruent , then
DF = EF , that is
[tex]\frac{2}{5}[/tex] a - 15 = [tex]\frac{1}{5}[/tex] a - 5 ( multiply through by 5 to clear the fractions )
2a - 75 = a - 25 ( subtract a from both sides )
a - 75 = - 25 ( add 75 to both sides )
a = 50
Then
DE = EF = [tex]\frac{1}{5}[/tex] × 50 - 5 = 10 - 5 = 5
How many tacos could you buy on a Wednesday with 20 dollars and tacos cost 50. cents
Answer:
40 tacos
Step-by-step explanation:
Step 1: Determine how many tacos you can buy
Cost of one taco: $0.50
Money in wallet: $20
So for every $1 you can buy 2 tacos. Therefore, 20 * 2 = 40 tacos
Answer: 40 tacos
Answer:40 tacos
Step-by-step explanation: because yeah
Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
A. ∠1 ≅ ∠7
B. ∠2 ≅ ∠6
C. ∠3 ≅ ∠5
D. ∠5 ≅ ∠7
Answer:
Option (B).
Step-by-step explanation:
Here there are two parallel lines c and d cuts by a transversal p.
The angles are formed as shown in diagram.
Here,
[tex]\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)[/tex]
So, the option (B) is correct.
CAN SOMEONE HELP MEEEE OUTTT!!!
Step-by-step explanation:
the answer is sqrt(7)
using pythagoras theorem
How much money invested at 3% compounded monthly for 3 years will yield $520?
$179.42
$475.30
$358.84
$148.78
Answer:
Step-by-step explanation:
Use this formula:
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount after the compounding is done, P is the initial investment (our unknown), r is the interest rate in decimal form, n is the number of compoundings per year, and t is the time in years. Filling in:
[tex]520=P(1+\frac{.03}{12})^{(12)(3)}[/tex] and simplifying that a bit:
[tex]520=P(1+.0025)^{36[/tex] and a bit more:
[tex]520=P(1.0025)^{36[/tex] and even bit more:
520 = P(1.094551401) and divide to get
P = $475.30
Two legs of a right triangle measure 23 inches and 38 inches. What is the length of the hypotenuse, to the nearest
inch?
Answer:
hypotenuse ≈ 44 inches
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
let the hypotenuse be h , then
h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )
h = [tex]\sqrt{1973}[/tex] ≈ 44 inches ( to the nearest inch )
Find the value of x for the right triangle.
2. En una división el dividendo es 445, el divisor es 32, el cociente es 14 y el resto es 7. ¿Está bien hecha? Compruébalo de dos maneras diferentes
Respuesta:
El cálculo no está bien hecho.
el cociente es 13
El resto es 29
Explicación paso a paso:
Dividendo = 445
Divisor = 32
Cociente = 14
Resto = 7
445/32 = 13,90625
El cociente = 13
Resto = (13.90625 - 13) * 32
Resto = 0.90625 * 32
Resto = 29
Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29
A certain forest covers an area of 2300 km. Suppose that each area decreases by 5.75%. What will be the area after 12 years?
Answer:
The correct answer is 2043 km².
Step-by-step explanation:
Given:
Starting area,
A = 2300 km²
Rate of decreasing,
r = 5.75%
Time,
t = 12 years
As we know,
⇒ [tex]y = A(1-r)^t[/tex]
By substituting the values, we get
[tex]=2300(1-0.0575 )^{12}[/tex]
[tex]=2300(0.9425)^{12}[/tex]
[tex]=2300\times 0.8883[/tex]
[tex]=2043 \ km^2[/tex]
Mr Lorenzo must make a minimum of 48 circuit boards per day. On Wednesday he made 60. What percent of required minimum did he make
Answer:
He made 125% of the required minimum.
Step-by-step explanation:
Percentage:
The percentage that a number b is of a is given by:
[tex]P = \frac{100b}{a}[/tex]
In this question:
Minimum of 48, made 60. The percentage 60 is of 48 is:
[tex]P = \frac{100(60)}{(48)} = 100(1.25) = 125[/tex]
He made 125% of the required minimum.
A line has slope - 3/4 and y-intercept 5.
What is the equation of the line?
Answer:
Y = MX + b
y = -3/4 X + 5
Step-by-step explanation:
An amusement park charges and admission fee of 30 dollars for each person. Let C be the cost (in dollars) of admission for P people. Write an equation relating C to P.
Answer:
14
Step-by-step explanation: B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
Somebody give the answer to the question attached please
Yoo plz answer quickly
ooof 2 weeks ago, sorry mate, i want the points doe...
Taylor has nickels and dimes. The number of nickels is 7 less then eight times the number of dimes. If d represents the number of dimes then the number of nickels can be expressed as what
Answer: [tex]8d-7[/tex]
Step-by-step explanation:
Given
Taylor has nickels and dimes
Number of nickels is 7 less than eight times the number of dimes
If d is the number of dimes, then number of nickels is given by
[tex]\Rightarrow \text{Number of Nickels = }8d-7[/tex]
In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment?
Answer:
700 parts
Step-by-step explanation:
To find the total amount of parts in the shipment, all we need to do is divide.
6% = 0.06
42 / 0.06 = 700
Best of Luck!
Find the value of x.
B
X+2
3
D
E
х
2
А
x = [?]
Answer:
x = 4
Step-by-step explanation:
The line DE is parallel to AC and divides the sides proportionally, that is
[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values
[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )
x = 4
shanika has a lamp that she wants to send to her sister in baltimore.the lamp is in the shape of a rectangular prism.it measures 14 high, 9 wide, and 3 long.she wants to buy a box so that there is 1 all around the lamp for bubble wrap
Consider we need to find the dimensions and volume of the box.
Given:
The shape of the lamp is a rectangular prism.
It measures 14 high, 9 wide, and 3 long.
There is 1 all around the lamp for bubble wrap
To find:
The dimensions and volume of the box.
Solution:
Length of the box is:
[tex]3+2=5[/tex]
Width of the box is:
[tex]9+2=11[/tex]
Height of the box is:
[tex]14+2=16[/tex]
Therefore, the dimensions of the box are 5 by 11 by 16 units.
The volume of the box is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]l=5, w=11, h=16[/tex], we get
[tex]V=5\times 11\times 16[/tex]
[tex]V=880[/tex]
Therefore, the volume of the box is 880 cubic units.
