Answer:
a. i. 150 cm³ ii. 150 cm³
b. i. 220 cm³ ii. 120 cm³
c. i. 297 cm² ii. 220 cm²
Step-by-step explanation:
a. For the cube
Dimensions of Cube = 5cm x 5cm x 5cm
Length of side = 5 cm
i. Total surface area A = 6L² where L = length of side = 5 cm
So, A = 6 × (5 cm)²
= 6 × 25 cm³
= 150 cm³
ii. Lateral surface area A' = 4L²
= 4 × (5cm)²
= 4 × 25 cm²
= 100 cm²
b. For the cuboid
Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm
i. Total surface area A = 2(lb + lh + hb)
= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)
= 2(50 cm² + 40 cm² + 20 cm²)
= 2(110 cm²)
= 220 cm²
ii. Lateral surface area A' = 2(lh + hb)
= 2h(l + b)
= 2 × 4 cm (10 cm + 5 cm)
= 8 cm × 15 cm
= 120 cm²
c. For the cylinder
Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm
i. Total surface area, A = 2πr(r + h) where r = radius = d/2
A = πd(d/2 + h)
= 22/7 × 7 cm(7 cm/2 + 10 cm)
= 22cm(3.5 cm + 10 cm)
= 22cm(13.5 cm)
= 297 cm²
ii. Lateral surface area A = 2πrh
= πdh
= 22/7 × 7 cm × 10 cm
= 22 cm × 10 cm
= 220 cm²
(12x³+x²)-(18x³-3²+6)
Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the given function?
y = 8x - 21 - 7
Answer:
The parent function is: y = x
First, here we have two types of transformations, and we could define them in a general way as:
if we start with a function f(x)
Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:
g(x) = A*f(x)
Vertical translation:
We can write a vertical translation of A units upwards as:
g(x) = f(x) + A
And a vertical translations of A units down can be written as:
g(x) = f(x) - A.
In this case, the transformations are:
first, a dilation of scale factor 8.
Then a translation down of 21 units
then another translation down of 7 units.
y = 8*X - 21 - 7
y = 8*x - 28.
As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28
Again, as this function is a linear equation there is no vertex.
-5n-8(1+7n)=-8
Solve this equation
Answer:
it's 0
Step-by-step explanation:
Which conflict reaction involves a choice of whether or not to do something when part of the situation is attractive but the other is not? approach avoidance multiple approach approach approach avoidance avoidance
Answer:
Approach-avoidance
Step-by-step explanation:
The term that is being described in this question is known as Approach-avoidance. This occurs in many real-life scenarios where individuals really want something until they are met with the negative side of that goal and ultimately turn away because of those negative traits. One example that is widely used for this term is marriage. Marriage in itself is a very positive goal that many individuals strive for, but ultimately push away from it when they begin to see the negative aspects of it, even if the positive values overshadow the negative ones.
help on math plz help
Answer:
1/6
Step-by-step explanation:
1.Find the standard deviation of the data.
2.Explain what the mean and standard deviation tell you about the data you
collected
PLEASE HELP QUICK ILL MARK BRAINLIEST‼️
Answer:
1.33
Step-by-step explanation:
I used a standard deviation calculator
Ill edit once i figure it out
1
The coefficient of x2 in the expansion of 2x +1 by 3 whole square
Answer:
1 +6 x + 12 x 2 + 8x 3
Explanation:
We must use our knowledge of the binomial expansion:
Method 1:
We can use:
(
x
+
1
)
n
=
1
+
n
x
+
n
(
n
−
1
)
2
!
x
2
+
n
(
n
−
1
)
(
n
−
2
)
3
!
x
3
+
...
Substituting
n
=
3
and
x
for
2
x
⇒
(
2
x
+
1
)
3
=
1
+
(
3
⋅
2
x
)
+
3
⋅
2
2
!
⋅
(
2
x
)
2
+
3
⋅
2
⋅
1
3
!
⋅
(
2
x
)
3
=
1
+
6
x
+
12
x
2
+
8
x
3
Method 2:
We can use:
(
A
+
B
)
n
=
A
n
+
(
n
1
)
A
n
−
1
B
1
+
(
n
2
)
A
n
−
2
B
2
+
...
Letting
A
=
2
x
and
B
=
1
for this circumstance:
(
2
x
+
1
)
3
=
(
2
x
)
3
+
(
3
1
)
(
2
x
)
2
(
1
)
+
(
3
2
)
(
2
x
)
1
(
1
)
2
+
(
3
3
)
(
2
x
)
0
(
1
)
3
=
8
x
3
+
12
x
2
+
6
x
+
1
Step-by-step explanation:
In the figure, lines I and mare parallel lines cut by transversal p.
Andrea said that if m 2 2 = 40° then m 3 must also be equal to 40°. Which justifies Andrea's statement?
A
Alternate interior angles are congruent.
B. Alternate exterior angles are congruent.
C. Corresponding angles are congruent,
D. Consecutive interior angles are supplementary
Answer:
The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C
Step-by-step explanation:
If two parallel lines intersected by a line, then there are some pair of angles are formed
Corresponding angles that are congruentAlternate interior angles that are congruentAlternate exterior angles that are congruentConsecutive interior angles that are supplementaryIn the given figure
∵ Lines l and m are parallel
∵ They are cut by transversal p
∵ ∠2 and ∠3 are in the corresponding position
→ By using the 1st rule above
∵ Corresponding angles are congruent
∴ ∠2 ≅ ∠3
∴ m∠3 = m∠2
∵ m∠2 = 40°
∴ m∠3 = 40°
The statement which justifies Andrea's statement is "Corresponding angles are congruent"
what is 1.117468769rounded two decimal places
F (×)=(×H)(×-1) is this polynomial function
Answer:
I think so
Step-by-step explanation:
Tell me everything you know about Pythagorean Theorem. Some things to include, but not limited to: Why is it that in some examples you have to subtract the square of a leg from the hypotenuse? Can this be used on every triangle? When might someone use this in real life as an adult?
Answer: Check below
Step-by-step explanation:
Okay so the Pythagorean Theorem was made by some old guy and the formula is a^2+b^2=c^2. You ALWAYS have to subtract the leg of the triangle when your finding a leg. You squareroot the square of the two legs if your finding the hypotnuse. The Theorem can be used to find any side of the triangle ONLY IF its a right triangle. An adult might use it in real life like when your an architect trying to find how much material you should use to make something thats in the shape of a right triangle.
Ps. Sorry if there's a bunch of grammar mistakes since this is kinda rushed
Please HELP!!
Which linear inequality is represented by the graph
Answer:
The answer should be y ≤ 1/3x - 1 I believe
Answer these two and I'll make as brainest.
Answer:
25x + 5 equals 130, x=5, (2) x= 6 10x=60 degrees
Step-by-step explanation:
Caroline's cell phone plan costs $32 per month. Which table shows the sum of the amounts
that Caroline will pay for her cell phone plan over the next 4 months?
Caroline's Cell Phone Plan
F
Month
1
2
3
4
Total Amount Paid
$0
$32
$64
$96
Caroline's Cell Phone Plan
G
Month
1
2
3
4
Total Amount Paid
$8
$16
$24
$32
Caroline's Cell Phone Plan
H
Month
2
3
Total Amount Paid
$32
$36
$40
$44
Caroline's Cell Phone Plan
Month
1
2
3
4
Total Amount Paid
$32
$64
$96
$128
Answer:
F
Step-by-step explanation
If there is 4 months and every month $32 is added you count $32 for every month.
Two communications companies offer calling plans. With Company X, it costs to connect and then for each minute. With Company Y, it costs to connect and then for each minute. Write and simplify an expression that represents how much more Company X charges, in cents, for n minutes.
Answer:
That is a hard question
Step-by-step explanation:
NEED ASAP!! PlsssSSS WILL GIVE BRAINIEST!!
Determine if the triangles are similar. If similar, state how and complete the similarity statement.
Answer:
sss similarities
Step-by-step explanation:
!!!!!!!!!!÷
What is the slope of the line
Answer:
-3/1 or -3
Step-by-step explanation:
you have to go down three from where the line crosses at a point then move over one to get to the next crossing point and that's the answer
Answer:
-3/1
Step-by-step explanation:
i think thats the answer
find the missing number in the proportion. 2/3 = x/15
v2+4v-21=0 (solve by factoring)
Answer: (v + 7)(v -3)
Step-by-step explanation:
(v +7)(v -3)
v x v = v^2
v x -3 = -3v
7 x v = 7v
7 x -3 = -21
v^2 -3v +7v -21 = v^2 +4v -21 = 0
Answer:
The answer is (v - 3)(v + 7).
Step-by-step explanation:
First, you have to elaborate it :
v² + 4v - 21 = 0
v² - 3v + 7v - 21 = 0
Next, you have to collect like terms :
v(v - 3) + 7(v - 3) = 0
(v - 3)(v + 7) = 0
last year keith opened an investment account with $6400. At the end of the year, the amount in the account has decreased by 6.5%. How much is this decrease in dollars? how much was in his account at the end of the year
Decrease in amount: $_____
Year-end amount: $_______
Decrease In Amount: $416
Year End Amount: $5984
is this right or wrong?
Answer: Yes, your correct because the square root of 61 is 7.8, and that's inbetween 7 and 8
I hope this helps, and Happy Holidays! :)
Hello' this is my last question can someone please help me
(please don't just put a random answer just to take my points)
Answer:
x²-3x=-10
Step-by-step explanation:
x²-3x+0=10
x²-3x=-10
Mrs. Viera spent $95.55 buying 13 pizzas for a class pizza party.
How much did one pizza cost?
I need help please I got 10 minutes to finish
Answer: i dont see nonthing what the question
Step-by-step explanation:
Which property of operations can be used to rewrite the expression without the parentheses?
Answer:
The Commutative Properties of Addition and Multiplication ... in an addition expression can be grouped in different ways without changing the sum. ... Mathematicians often use parentheses to indicate which operation should be done ... Rewrite 7 + 2 + 8.5 – 3.5 in two different ways using the associative property of addition.
Step-by-step explanation:
I learned this and i still know it. I dont have a explanation
Write the equation in slope- intercept form
4x+2y=12
Thanks!
Which step could be used to solve x + 3.6 = negative 1.7 for x in one step? Select two options. Add 3.6 to both sides. Add Negative 3.6 to both sides. Add 1.7 to both sides. Add Negative 1.7 to both sides. Subtract 3.6 from both sides.
Answer:
Subtract 3.6 from both sides.
Step-by-step explanation:
Given
[tex]x + 3.6 = -1.7[/tex]
Required
Solve in one step
There are two ways to go about it.
1. Collect Like Terms
[tex]x + 3.6 = -1.7[/tex]
3.6 and -1.7 are like terms, so the equation becomes
[tex]x = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
2. Subtract 3.6 from both sides
[tex]x + 3.6 = -1.7[/tex]
This becomes
[tex]x + 3.6 - 3.6 = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
Hence, the last option answers the question.
Answer:
Option 2and 5 are correct.
Step-by-step explanation:
-Add -3.6 to both sides
-Subtract 3.6 from both sides
The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half
mile every 8 minutes. Assume he walks at a constant rate.
predict the shape of the graph of the function
Step-by-step explanation:
It is given that,
The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half mile every 8 minutes.
Let y is the distance (in miles) and x is time (in minutes).
[tex]\dfrac{0.5}{8}=\dfrac{y}{x}\\\\\dfrac{x}{y}=16\\\\y=\dfrac{x}{16}[/tex]
The attached graph predicts the shape of the function. Hence, this is the required solution.
When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.83 is added to an unknown whole number and 8 tenths to equal 37.63.
2
3
4
5
Answer:
4.
Step-by-step explanation:
32.83 + 0.8 = 33.63
37.63 - 33.63 = 4.
Answer:
The answer is the 3rd option/C, 4
Step-by-step explanation:
ME SMART
Ava' s cell phone plan allows her to send up to 125 text messages per month if she sent 90 text so far what percent of her monthly message limit has she used
Answer:
90/125*100=9000/125
9000/125=72
72%