the required perimeters are 26 inch, 48 inch, 34 inch and 64 inch respectively.
What is the perimeter?Perimeter, is the measure of the figure on its circumference.
1. perimeter for a cross section parallel to base of right rectangular prisms that is 10 inches long, 3 inches wide and 14 inches high:
length = 10 inches and width = 3 inch
The perimeter of that cross section is given by.
= 2 x length + 2 x width
= 2 x 10 + 2 x 3
= 20 + 6
= 26 inches
2. perimeter of cross section perpendicular to the base of a cube with 12 inch edge is given by.
= 4 x length
= 4 x 12
= 48 inches
3. perimeter of a cross section perpendicular to the base and passing through the diagonal of the base the right rectangle is given by.
length = 5; width = 12; height = 4; diagonal = 13;
perimeter = 2 x height + 2 x diagonal
= 2 x 4 + 2 x 13
= 34 inches
4. perimeter of a cross section of a cube having edges of 16 inches each.
perimeter = 4 x edge
= 4 x 16
= 64
Thus, The required perimeter of the cross section are 26, 48, 34, 64 all in inches.
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How do u calculate pythagoras therorem
Answer:
a^2+b^2=c^2
Step-by-step explanation:
You can apply this formula to any quadratic equation.
The Pythagorean Theorem is basically a way to find the side of a right triangle from the other two sides.
Take a look at this triangle labeled, a, b, c. (attachment)
Side a and b are called the legs. The largest side, c is called the hypotenuse.
In order to find a side, we have to use the formula…
a^2 + b^2 = c^2Let’s do an example.
Consider the following triangle.
(attachment)
We want to find side c, which is actually the hypotenuse as it is unknown.
In order to find the missing side, we have to use the formula or the Pythagorean theorem. We substitute our values into a and b, while leaving the c-side as it is because that is what we are trying to find.
[Math Processing Error]
What does 13=c mean? It means that the missing side, c, from the triangle above is 13.
On a number line, 6.3 would be located ______. Choose all answers that make a true statement.
6.3
《--|----|----|----|----|----|----|----|----|----|--》
A. between 6.2 and 6.4
B. to the left of 6.42
C. to the right of 6.45
D. to the right of 6.5
Answer:
A).
Step-by-step explanation:
The numbers should be in consecutive order e.g. - 6.2 6.3 6.4
The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square bas-
is x units.
Which expression represents the volume of the prism, in cubic units?
x³ +9
x³ + 3x²
x³ + 3x + 3
x³ + 6x² + 9x
Answer:
College dropout is the greatest album of all-time
You are walking directly away from your house.
You are 5 miles away from your house when
you start walking, so you can determine your
distance from your house by adding 5 to the
number of miles you have walked. In the
equation below, a represents the number of
miles you have walked, and y represents your
distance from home in miles.
The relationship between these two variables
can be expressed by the following equation:
y = x + 5
Identify the dependent and independent
variables.
Your distance
from home
Number of
miles you
walk
Dependent
variable
Independent
variable
Answer:
dependent: your distance from home
independent: number of miles you walk
Step-by-step explanation:
lmk if you want an explanation
Please help me!!!!!!
Answer:
It is an obtuse triangle I think because
The French club is sponsoring a bake sale to raise at least $305. How many pastries must they sell at $2.05 each in order to reach their goal?
Answer:
148.7804878
Step-by-step explanation:
All you have to do is divide!
Carlton received 45 votes in the school council election, and Will received 60 votes. What percent of the votes did Carlton receive?
Answer:
42.9%
Step-by-step explanation:
The total number of votes between Carlton and Will is [tex]60 + 45 = 105[/tex].
If we put Carlton's votes in a fraction over the total number of votes, we get [tex]\frac{45}{105}[/tex].
So, if we now multiply this fraction by 100, we will get the percentage amount:
[tex]\frac{45}{105} * 100 = 42.9[/tex]
This means that to 1 decimal place, the percentage of votes that Carlton received is 42.9%.
Answer:
Carton receive:
42.86% (aprox)
Step-by-step explanation:
45 + 60 = 105
total votes = 105
Carlton received 45 votes
then:
45/105 = 0.4286 (aprox)
0.4286*100 = 42.86%
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
c = 68 m
Step-by-step explanation:
Pythagorean theorem:To find the hypotenuse 'c' use Pythagorean theorem
hypotenuse² = base ² + altitude²
c² = 60² + 32²
= 3600 + 1024
= 4624
[tex]\sf c=\sqrt{4624}\\\\ c= \sqrt{2*2*2*2*17*17}=2*2*17\\\\\boxed{\bf c = 68 \ m }[/tex]
The gravitational force on a body falling towards the earth is directly proportional to the
mass of the body. The gravitational force on a body of mass 2 kilograms is 19.6 Newtons.
A. Write a direct variation equation relating the mass, y, and the gravitational force in
Newtons, y, on the falling body
The equation would be y = kx with k being a constant.
Direct variationAssuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.
Mathematically,
y = kx where k = constant.
If y = 19.6 Newtons and x = 2 kg, then
k = y/x = 19.6/2 = 9.8.
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How much 100% active ingredient powder would you need to add to 4 mL
of multivitamin powder that is 20% active ingredient powder in order to
strengthen the mixture to 50% active ingredient powder?
We need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder
How to calculate the amount of active ingredient?The amount of each volume m = CV where
C = concentration and V = volumeThe amount of 50 % mixture, m = amount of 100 % powder + amount of 20 % powder.
M = m + m'
CV = C'V' + C"V" where
C = 50% concentration = 0.5, V = 50 % Volume, C' = 100 % concentration = 1, V' = 100 % volume, C" = 20 % concentration = 0.2 and V" = 20 % volume = 4 mLSo, CV = C'V' + C"V"
0.5V = 1 × V' + 0.2 × 4
0.5V = V' + 0.8 (1)
Also, we have that the total volume V = V' + V"
V = V' + 4 (2)
Substituting equation (2)into (1), we have
0.5V = V' + 0.8
0.5(V' + 4) = V' + 0.8
0.5V' + 0.5 × 4 = V' + 0.8
0.5V' + 2 = V' + 0.8
0.5V' - V' = 0.8 - 2
-0.5V' = -1.2
V' = -1.2/-0.5
V' = 2.4 mL
So, we need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder
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Under her cell phone plan, Aubree pays a flat cost of $58.50 per month and $3 per gigabyte. She wants to keep her bill at $72.30 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Aubree can use 4.6 gigabytes of data while staying within her budget.
If the answer choices only use whole numbers, use 4 gigabytes, because it is the number of full gigabytes she can use.
Step-by-step explanation:
x= gigabyte
58.50 + 3x = 72.30
3x = 72.30-58.50
3x= 13.8
x= 4.6
What is the value of the blue dot?
Answer:
17
Step-by-step explanation:
Solution
The distance between each marker is 2. So going upwards 9+2 = 11
11 + 2 = 13
13 + 2 = 15 But we still have 1 more space to go.
15 + 2 = 17
HELP PLEASE! (will be marking brainliest) What is the measure of FJG?
A. 95
B. 100
C. 105
D. 115
Answer:
105
Step-by-step explanation:
Angles HJG and HJG form a straight line so they add to 180
< HJG + < FJG = 180
75 + <FJG = 180
<FJG = 180-75
<FJG = 105
Answer:
C) 105
Step-by-step explanation:
HJG and KJF are vertical angles so they both equal 75 degrees.
A line is 180 degrees so 180-75=105 so 105 = is FJG
Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?
A) The graph of g(x) is the graph of f(x) shifted 6 units down.
B) The graph of g(x) is the graph of f(x) shifted 6 units to the left.
C) The graph of g(x) is the graph of f(x) shifted 6 units up.
help please D:
From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up. the correct option is C.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
Given;
Suppose that g(x) = f(x) + 6.
From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up.
Hence, the correct option is C.
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The complete question is
"Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?
A) The graph of g(x) is the graph of f(x) shifted 6 units down.
B) The graph of g(x) is the graph of f(x) shifted 6 units to the left.
C) The graph of g(x) is the graph of f(x) shifted 6 units up.
D. The graph of g(x) is the graph of f(x) shifted 6 units to the right."
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How do I solve this?
Answer:
x = 4
Step-by-step explanation:
The figure in the picture is a parallelogram. In parallelograms diagonals bisect each other. That means that they divide each other in half. That means that 6x + 1 is the same as 4x + 9.
6x + 1 = 4x + 9
2x + 1 = 9
2x = 8
x = 4
factorise the expression as fully as possible 10xsquared -5x
Answer:
5x(2x - 1)
Step-by-step explanation:
Factor 10x^2 - 5x:
Then: 10x^2 - 5x = 5x(2x - 1), since 5x is common to the two given terms
Answer:
[tex]10x^{2} -5x[/tex] in factored form would be [tex]5x(2x-1)[/tex]
Step-by-step explanation:
If we look at all of the terms in this binomial, we can see that they both have 5x in common. We can now factor 5x out of the equation to get our answer.
To do this, we must divide both terms by 5x.
[tex]10x^2[/tex] divided by [tex]5x[/tex] is [tex]2x[/tex], and [tex]-5x[/tex] divided by [tex]5x[/tex] is [tex]-1[/tex].
So, our final answer is [tex]5x(2x-1)[/tex].
For what values of x does 25× - 5ײ-3?
O x = -3, x = 1
O x = -1, x = 3
3
0 X=-²2/₁X-2
Ox
3
O x= -2, x=-2/
Answer:
X = 3, -1; B
Step-by-step explanation:
Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5 cancels. So 2x = x^2 -3, which can be solved using factoring:
x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1
The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given that the equation is 25ˣ = 5ˣ²⁻³.
To solve the equation, take logs on both sides, we get,
x log(25) = (x²- 3)log5
2x log 5 = (x²- 3) log5
2x = x²-3
x²- 2x -3 = 0
Now, factorize the quadratic equation,
we get,
x² - 3x + x - 3 = 0
x(x- 3) + 1(x - 3) = 0
x = 3 or -1.
Therefore, x = 3 or x = -1.
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William can pack 60 toys in 4 hours. Find the unit rate with which he packs toys.
O14 toys/hour
O13 toys/hour
15 toys/hour
16 toys/hour
For any positive numbers a, b, and d, with b 1,
A.
logb a logb d
B.
logb a + logb d
C.
d logb a
done
D.
logb a - logb d
Answer:
D
Step-by-step explanation:
using the rule of logarithms
log x - log y ⇔ log ( [tex]\frac{x}{y}[/tex] )
then
[tex]log_{b}[/tex] ( [tex]\frac{a}{d}[/tex] ) = [tex]log_{b}[/tex] a - [tex]log_{b}[/tex] d
Use the graphing calculator to graph the function f(x)=√x Which list contains three points that lie on the graph of
the function?
0(83) (42) (-11)
O (11 (42) (9. 3)
Answer:
The last option that starts with (1,-1)
What is the quotient startfraction negative 8 a superscript 8 baseline b superscript negative 2 baseline over 10 a superscript negative 4 baseline b superscript negative 10 baseline endfraction in simplified form? assume a not-equals 0, b not-equals 0.
The quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).
Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.
In the question, we are given an exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) and are asked to find the quotient of it.
To find the quotient, we will try to simplify the equation using the laws of exponents in the following way:-
(-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰),
= (-4/5)(a⁽⁸ ⁻ ⁽⁻⁴⁾⁾b⁽⁻² ⁻ ⁽⁻¹⁰⁾⁾) {Using the law of exponent: [tex]\frac{x^{a} }{x^{b} } =x^{(a-b)}[/tex] }
= (-4/5)(a¹²b⁸).
Therefore, the quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.
What is Supplementary angle?When two angles are said to be supplementary angles if their sum is 180 degrees.
A triangle is shown with its exterior angles.
The interior angles of the triangle are angles 2, 3, 5.
The exterior angle at angle 2 is angle 1.
The exterior angle at angle 3 is angle 4.
The exterior angle at angle 5 is angle 6.
We know that the sum of interior and exterior angle of the triangle is 180 degrees.
∠1 + ∠2 = 180°
∠3 + ∠4 = 180°
∠5 + ∠6 = 180°
Then the correct option is C.
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find the area occupied by the base of a cylindrical bowl if the base is 9 cm?
Answer:
is it radius or diameter?
Question
Ahmet borrows $700 and is charged compound interest at 15% per year. How much will he have to pay back in total after 6
years?
Give your answer to two decimal places.
Answer:
I did 700 - 15% times that answer by 6 and u get that big answer.
The required amount Ahmet needs to pay after 6 years is $1619.14.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Principal = P rate= r Time =a , n = compounding frequency
Here,
From the given data,
P = 700, r = 15% and t = 6 (n =1)
Now,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 700(1 + 0.15)⁶
Amount = $1619.14
Thus, the required amount Ahmet needs to pay after 6 years is $1619.14.
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A store selling school supplies advertises a bundle deal. The consumer can
pick a backpack, a binder, a pack of pencils, and notebook paper for a set
price. There are 6 types of backpacks, 4 types of binders, 5 types of pencils,
and 2 types of notebook paper. How many outcomes are possible in this
bundle?
Using the Fundamental Counting Theorem, it is found that the number of outcomes possible in this scenario is given by:
D. 240.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
The number of options for each selection are given as follows:
[tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 2[/tex]
Hence the number of outcomes is given by:
N = 6 x 4 x 5 x 2 = 240.
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does y - x = 2 show direct variation
Answer:
no
Step-by-step explanation:
if I use any numbers too .the numbers can not be constant numbers so this equation is not a direct variation
7 - 5 = 2
6- 4 = 2
not contstant
Age of father is 13 times the age of his son , it will be only five times after four years find the present age of the father
Answer:26
Step-by-step explanation:
Solve the inequality W> Y+H /P
Answer: C
Step-by-step explanation:
Given the following inequality:
[tex]W& > \dfrac{Y + H}{P}[/tex]
Solve for H.
To solve for H we will start by multiplying both sides of the equation by P
[tex]PW& > \dfrac{Y + H}{P}\times P\\[0.3cm] PW& > Y + H\\[0.3cm][/tex]
Next, we will subtract Y from both sides of the inequality
[tex]\boxed{{WP - Y > H}}[/tex]
Therefore, the correct answer is C
In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temperatures of the three cities?
Which Answer-
A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature
B.
Bangkok's temperature < Moscow's temperature < Cape Town's temperature
C.
Bangkok's temperature > Moscow's temperature > Cape Town's temperature
D.
Bangkok's temperature > Cape Town's temperature > Moscow's temperature
The correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given that:-
In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow.We have the data from the question that the temperature of Bangkok is hotter than cape town.
Bangkok > Cape town
And the temperature of Cape town is hotter than Moscow.
Cape town > Moscow
Now for both the statements, the inequality will be given as:-
Bangkok's temperature < Cape Town's temperature < Moscow's temperature.
Therefore the correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.
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The total pages a person reads in x days, if the person reads 6 pages a day
the cost of x boxes of mangoes, if 1 box costs $6 and the shipping charge is $6 per order (for any number of boxes)
the total cost of x notebooks, if one notebook costs $6 and students receive a discount of $1 off their total bill
the total cost of x novels and a pocket dictionary if you buy x novels each at $6 and get a pocket dictionary at $1
what are the corresponding functions for each situation?
The given expression will be written as follows:-
y = 6x
y = 6x + 6
y = 6x - 1
y = 6x +1
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
A) The total pages a person reads in x days, if the person reads 6 pages a day
y = 6x
B) The cost of x boxes of mangoes, if 1 box costs $6 and the shipping charge is $6 per order (for any number of boxes)
y = 6x + 6
C) The total cost of x notebooks if one notebook costs $6 and students receive a discount of $1 off their total bill
y = 6x - 1
D) The total cost of x novels and a pocket dictionary if you buy x novels each at $6 and get a pocket dictionary at $1
y = 6x + 1
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