Answer:
Step-by-step explanation:
Volume of cuboid = 10.4 cm³
area of base * height = 10.4
area of base * 1.2 = 10.4
[tex]area of base = \frac{10.4}{1.2}\\[/tex]
area of base = 8.67 cm²
Answer:
Step-by-step explanation:
W varies inversely as the square of t. If W = 12 when t = 2,
find t when W = 27.
A. 27t = 24
B. 27t2 = 48
C. 108 = 12t
D. 12t = 54
Answer:
B
Step-by-step explanation:
Given W varies inversely as t² then the equation relating them is
W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation
To find k use the condition W = 12 when t = 2, thus
12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
k = 48
W = [tex]\frac{48}{t^2}[/tex] ← equation of variation
When W = 27, then
27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )
27t² = 48 → B
B) 27 t² = 48 will be the algebraic equation for t if W = 27.
What is proportionality?In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.
Given W varies inversely proportional to t² then the algebraic equation relating them is
W = k / t² is the constant of variation
for k we can use the condition W = 12 when t = 2,Hence,
12 = k / 2²
k = 48
When W = 27, then
27 = 48 / t² ( multiply by t² )
Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.
Learn more about proportionality here:
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Determine the value of
X in the diagram below. Justify your reasoning.
Answer:
x = 70°
Step-by-step explanation:
Sum of external angles of polygon = 360
x + 150 + 140 = 360
x + 290 = 360
x = 360 - 290
x = 70°
i’ll give 17 points for this!
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
The reason why it is 90 because it looks like it is going in order so it would be 55 , 90 , 92 , 114
Hope i was to explain this real good Hope this is rightBrainliest plzWhat’s the area of this tile?
Answer:
A=24
Step-by-step explanation:
Area for triangle = 1/2b(h)
so 1/2(6)8=24
Henrietta bought 4 hats for $8.99 each and 3 pairs of sunglasses. Eseh pair of sunglasses cost $7. She
gave $50 to the cashier. How much more money does she need to give the cashier to pay for the hats
and sunglasses?
$5.96
O $6.96
O $0.96
$8.96
Answer:
$6.96
Step-by-step explanation:
(4*8.99) + (3*7)
35.96 + 21 = 56.96
50- 56.96 = -6.96 So she owes 6.96
Question 24
.........................................................
Answer:
Step-by-step explanation:
A data set is normally distributed with a mean of 115 and a standard deviation of 23. What is the probability that a value in the data set is greater than or equal to 162?
The probability is about __
Answer:
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
Step-by-step explanation:
Step(i):-
Given mean of the Population = 115
Given standard deviation of the Population = 23
Let 'x' be the random variable of normal distribution
Let x = 162
[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]
z = 2.043
Step(ii):-
The probability that a value in the data set is greater than or equal to 162
P(X>x) = P(Z>z) = P(Z> 2.043)
P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)
= 1- ( 0.5 +A(2.043)
= 1-0.5 -A(2.043)
= 0.5 - 0.4793
= 0.0207
Final answer:-
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
Please answer fast
Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.
y = -3
x - y = 8
Answer:
[tex](5,-3)[/tex]
Step-by-step explanation:
Solve by Graphing.
Graph the lines.
When we graphed them, the intercepted at point (5,-3).
The solution the the system of equations is (5,-3).
Answer:
5,-3
Step-by-step explanation:
Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?
Answer:
6 and 18
6+6=12
18+6=24
12x2=24
Unless a number is given it is mainly trial and error so guessing numbers that fit the first part of Ax3=B
Step-by-step explanation:
A cylinder has a radius of 5 cm and a height of 10 centimeters What is its volume?
Answer:
785.4
Step-by-step explanation:
[tex]\pi[/tex] x 5^2 x 10 = 785.4
If I helped, please mark as brainliest :>
Which theorem or postulate could be used to prove the congruence of the triangles?
Answer:
Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
The postulate used to prove the congruence of the triangles is ASA.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two right triangles.
∠90° = ∠90°
side = side (given)
Angle = Angle (given)
By ASA (angle side angle)
The triangles are congruent.
Thus,
The postulate is ASA.
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Find the perimeter of the figure.
Answer:
69.8
Step-by-step explanation:
Divide and answer in simplest form: 4/5 ÷ 2
Answer:
2/5
Step-by-step explanation:
4/5*1/2=4/10=2/5
Answer:
0.4 or [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
First convert 4/5 into a decimal of 0.8
Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]
What is the vertex of the graph of the function f(x) = x^2 + 8x − 2 ?
a (−4, 18)
b (0, -2)
c (-8, -2)
d (−4, −18)
Answer:
The vertex is at (-4, -18) (Fourth answer choice)
Step-by-step explanation:
The standard vertex equation of a parabola is f(x) = (x - h)^2 + k.
"Completing the square" is one of the faster and better ways of determining the vertex:
f(x) = x^2 + 8x - 2 => f(x) = x^2 + 8x + 16 - 16 - 2 => (x + 4)^2 - 18. Comparing this to (x - h)^2 + k, we see that h = -4 and k = -18. The vertex is at (-4, -18).
What is the first step in solving quadratic equations by finding square roots?
Answer:
Give the positive and negative answer
Step-by-step explanation:
Answer:
The first step in solving quadratic equations is to isolate the squared term by adding or subtracting any constant term to both sides.
Step-by-step explanation:
A restaurant owner is replacing the restaurant’s bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.
a.What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.
b.How many of these largest size tiles are needed?
c.Name more tile sizes that are whole number of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.
Answer: A. 9x9 tiles are the biggest ones that she can use. B. 48 C. Examples are: 8x8, 6x6, 4x4, 3x3, 2x2, and 1x1 ft
Step-by-step explanation: If the area is 432 ft. then you would have to find the tiles that can be put in there but can also be equally divided by the number.
The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A restaurant owner is replacing the restaurant’s bathroom floor with square tiles.
The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut.
The floor is a rectangle that measures 24 feet by 18 feet.
Then the area of the bathroom will be
Area = 24 x 18
Area = 432 square feet
Let n be the number of tiles and a be the side length of the square tile.
na² = 432
If a = 1, Then the number of tiles will be
n = 432
If a = 2, Then the number of tiles will be
n x 2² = 432
n x 4 = 432
n = 108
The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.
More about the geometry link is given below.
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Over a 4.5 hour period, the rain gauge collected 2.8 inches of rain. In the
next 19.5 hours it collected an additional 1.75 inches of rain. What is the
total amount of rain, in inches, that the gauge collected?
Your answer
Select all the expressions that are equivalent to 1.94
~
2.37 -0.43
Answer: 4.55 inches of rain
Step-by-step explanation: Is this a trick question? It's a lot easier than it looks...but i'll give you a step by step explanation.
So, we know is 4.5 hours it collect 2.8 inches of rain, must have been a rainy day.
The next day the gauge collect 1.75 inches of rain, it must have sprinkled a little.
2.8 + 1.75 = 4.55
Therefore, the guage collected 4.55 inches of rain in total.
I hope this helps!
Find the nth term of the sequence 8,10,12,14,16
Answer:
18
Step-by-step explanation:
The pattern goes in even number increments of two.
Hope this helps :)
Plz can someone help
Answer:
the total number of students is 1240
Step-by-step explanation:
the difference between 11 and 9 is 2
124÷2=62
62×11=682
62×9=558
682+558=1240
pls give me brainliest!
The diameter of a circle is 6 units.
What is the radius of the circle?
units
Answer:
3
Step-by-step explanation:
Branliets plz
Fill in the blank to make this statement true: (0,0) is a solution to _________ equation(s) in the form y=kx. no one some all
Answer:
All
Step-by-step explanation:
Answer:
All
Step-by-step explanation:
Hope this helps
Need help with this question
Answer:
Triangle IV
Step-by-step explanation:
G = 3t2 – 5t + 6
P= -8t² + 7t – 9
G + P=
Your answer should be a polynomial in standard
form.
Answer:
-5t² + 2t - 3
Step-by-step explanation:
G = 3t2 – 5t + 6
P = -8t² + 7t – 9
G + P
= (3t² – 5t + 6) + (-8t² + 7t – 9)
= 3t² - 8t² - 5t + 7t + 6 - 9
= -5t² + 2t - 3
The probability of not choosing a black shirt is...? please explain!
Answer:
80% or 8/10.
Step-by-step explanation:
Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white, 2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.
At A-1 Truck Dealership, a customer can order a red, turquoise, or green truck. The truck can have leather or cloth seats. A customer can also choose a black, tan, or grey interior color. From how many possible trucks can a customer choose? *
Answer:
18
Step-by-step explanation:
3 colors: red, turquoise, or green
2 seats: leather or cloth
3 interior color: black, tan, or grey
3*2*3 = 18 Possible trucks:
{red, leather, black}
{red, leather, tan}
{red, leather, grey}
{red, cloth, black}
{red, cloth, tan}
{red, cloth, grey}
{ turquoise, leather, black}
{ turquoise, leather, tan}
{ turquoise, leather, grey}
{ turquoise, cloth, black}
{ turquoise, cloth, tan}
{ turquoise, cloth, grey}
{green, leather, black}
{green, leather, tan}
{green, leather, grey}
{green, cloth, black}
{green, cloth, tan}
{green, cloth, grey}
Write the equation of the quadratic function in standard form represented by the graph.
Answer:
y = x^2 +6x+8
Step-by-step explanation:
First find the zeros, -4 ,-2
y =a (x - -4) (x - -2)
y = a(x+4)(x+2)
Then it is multiplied by a constant so pick a point on the curve and solve for the constant
We will use (0,8)
8 = a(0+4)(0+2)
8 = a(8)
a =1
y = (x+4)(x+2)
Writing in standard form
FOIL
y = x^2 +2x+4x+8
y = x^2 +6x+8
A bag contains 28 marbles: 9 black, 14 red, and 5 blue. A marble is drawn from the bag at random.
What is the probability of getting a red blue marble? Write answer as SIMPLIFIED FRACTION.
ASAP
Answer:
red : 50%
blue : 18%
Step-by-step explanation:
Red : 14:28x100 = 50%
blue : 5:28x100= 17,85%= 18%
PLEASE HELP ME ASAP PLEASE!!!Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing cards. the deck has 13 card suits (diamonds, hearts,clubs,spades)
The probability expressed as a fraction is
The probability expressed as a decimal is
The probability expressed as a percent is
Answer:
for diamond or spade: 1/2= 0.5 = 50%
Step-by-step explanation:
13/52 = 1/4 to diamond, heart, club or spade
1/4= 0.25
0.25*100% = 25%
If we need to choose diamond or spade,
1/4 for diamond, 1/4 for spade
diamond or spade: 1/4+ 1/4=1/2
1/2 = 0.5 = 50%
Answer:
2/4
0.50
50%
Step-by-step explanation:
If its a diamond or spade then it is it is basically written as 2/4 since there is 4 suits and your trying to pull 2 out of the four. 50% converts to 2/4 and you can turn 50% to decimal by putting a decimal point and a 0 to get 0.50
Please answer quick:) I will give you brainliest
f(1)=-3
f(n)=2*f(n-1)+1
f(2)....
Answer:
6
Step-by-step explanation:
when u substitude the value of n as 2
u get 2*2-1+1=6
hope this helps
there is a mistake in question that f(1)= -6
but i have answered correctly
pls mark me brainliest
Answer:
f(2)= - 5
Step-by-step explanation:
hello :
f(1)=-3
f(n)=2f(n-1)+1
n=2 : f(2) = 2f(2-1)+1 = 2f(1)+1 but f(1) = -3
so : f(2)=2(-3)+1 =-6+1=-5
