Answers
Answer:
Area of a Rectangular prism is
A = 2lh + 2lw + 2hw
Step-by-step explanation:
See picture above
Related Questions
531x22 long mutipulcation
Answers
Answer:
11,682 the answer is that hope you get a A!
531
×22
+1062
+1062
=11682
Therefore:
531 × 22 = 11,682
Reflect (-5,-3) over the -axis.
Then translate the result down 2 units.
What are the coordinates of the final point?
Answers
Answer:
(-5,-1)
Step-by-step explanation:
Which set of steps can be used to prove the sine sum identity, sin(x y) = sin(x)cos(y) cos(x)sin(y)?.
Answers
The trigonometry identity sin(x + y) = sinx cosy + cosx siny.
What is sin(x + y) identity in trigonometry?sin(x + y) is one of the identities in trigonometry for compound angles.
The angle (x + y) represents the compound angles.
sin(x + y) = sinx cosy + cosx siny
To prove
sin(x + y) = sinx cosy + cosx siny
Consider OX as a rotating line anti-clockwise. Let angle XOY = a
the making of an acute angle b the rotation in the same direction is
angleYOZ = b , angle XOZ = a + b
From triangle PTR,
∠TPR = 90 - ∠PRT , ∠ROX = a
From the right-angled triangle PQO
sin(a + b) = PQ/OP
= (PT + TQ) / OP
= PT/OP + TQ/OP
= PT/PR × PR/OP + RS/OR × OR/OP
= cos (∠TPR ) sinb + sina cosb
= sina cosb + cosa sinb
if we replace a=x and b=y
Therefore, sin(x + y) = sinx cosy + cosx siny.
Learn more about trigonometry identity;
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1. a) Solve the following quadratic-quadratic system of equations graphically.
y– 3x² +12x = 16
y + 4x²– 16x = -12
b.) GRAPH
c.) verify your solution (s) algebraically.
Answers
Answer:
see explanation
Step-by-step explanation:
look at the photo
I need help making a proof for geometry! Here is the question I really need help on this question my marking period ends soon!
There are 2 parts I have to make a proof and then I also have to find the measures of AB and AC!
Answers
Answer:
Step-by-step explanation:
Figure #2 Volume =____ in^3
Answers
Answer:
480 in^3
Step-by-step explanation:
Multiplying the length of each of the sides together gives the volume, so [tex]12*4*10=480[/tex]
you must multiply each side together in order to find the volume
Tiesha made 36 cookies. There are 6 dark chocolate chips in each cookie. Some of the cookies, c, also have 4 white chocolate chips in them each. In all, the cookies have 232 chocolate chips in them. Which equation represents this situation?
A.
(36 × 6) + (c × 4) = 232
B.
(36 × 4) + c = 232
C.
c × 36 = 232
Answers
Answer:
Your answer would be:
A.) (36 × 6) + (c × 4) = 232
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
yo how you people doing what's -25 - 57 + 35 ?????
Answers
Answer:
-47
Step-by-step explanation:
you don't you use the calcaulator
The answer is -47
Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43. 5 units2. The calculated areas are.
Answers
The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.
What is the area of a regular polygon?The area of the polygon is the product of half of the apothem of the triangle and perimeter.
The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]
The side of the triangle is 10 units.
Apothem of an equilateral triangle
[tex]s = \frac{\sqrt{3} a}{6}[/tex]
s= [tex]\sqrt{3} \times 10/6[/tex]
s = 2.88
Here, a is the side of the triangle.
Thus the apothem of the triangle is 2.9 units.
The perimeter of the equilateral triangle is equal to the three times the sides.
Perimeter of the equilateral triangle ,
P = 3(10)
P = 30
Therefore, the perimeter of the equilateral triangle is 30 units.
The area of the equilateral triangle-
The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]
A = [tex]1/2 \times 2.9 \times 30[/tex]
A = 43.5
Thus the area of the equilateral triangle is 43.5 squared units.
Therefore, The calculated areas of both are the same instead of using the different formulas.
Learn more about the apothem;
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Answer:
(A) 2.9
(C)30
(A)1/2(2.9)(30)
(D)The same despite using different formulas
Step-by-step explanation:
I did it
5x+9y=−10
7x+10y=−1
help how do i solve this
Answers
Answer:
{x,y} = {7,-5}
Step-by-step explanation:
Solve equation [2] for the variable y
[2] 10y = -7x - 1
[2] y = -7x/10 - 1/10
Plug this in for variable y in equation [1]
[1] 5x + 9•(-7x/10-1/10) = -10
[1] -13x/10 = -91/10
[1] -13x = -91
Solve equation [1] for the variable x
[1] 13x = 91
[1] x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Answer:
(x , y) = (7 , -5)
Step-by-step explanation:
{x, y} = {7, -5}
System of Linear Equations entered :
1. 5x + 9y = -10
2. 7x + 10y = -1
(Shown on graph below)
Solve equation 3 for the variable the y
10y = -7x - 1
y = -7x/10 - 1/10
Plug this in for variable y in equation 1
5x + 9•(-7x/10-1/10) = -10
-13x/10 = -91/10
-13x = -91
Solve equation 1 for the variable x
13x = 91
x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Hence, (x , y) = (7 , -5)
1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating expenses include $130 for the staff and a film rental fee of $1.25 per student.
a. What equation relates the number of students x to the theater's income I?
b. What equation relates the theater's operating expenses E to the number of students x?
c. Copy and complete the table below.
Theater Income and Expenses
Number of Students, x 0 10 20 30 40 50 60 70
Income, I ($) box box box box box box box box
Expenses, E ($) box box box box box box box box
d. On the same set of axes, graph the theater's income and operating expenses for any number of students from 0 to 100.
e. Describe the patterns by which income and operating expenses increase as the number of students in a group increases.
f. Write and solve an equation that you can use to answer the question “How many students need to attend the movie so that the theater's income will equal its operating expenses?”
g. Write an equation that represents the theater's profit. Compare your equation to those your classmates wrote.
h. Find the number of students that make each of the following inequality statements true.
i. E < 255
ii. I > 675
Answers
The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.
The equation of the theatre's incomeThe theatre charges $4.50 per student.
Assume the number of students is x, the equation of the theatre's income would be:
I(x) = 4.5x
The equation of the theatre's expensesThe theatre expense per student is $1.25, and the operating cost on the staff is $130
The equation of the theatre's expenses would be:
E(x) = 1.25x + 130
Complete the tableUsing the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:
Students, x 0 10 20 30 40 50 60 70
Income, I 0 45 90 135 180 225 270 315
Expenses, E 130 142.5 155 167.5 180 192.5 205 217.5
The graph of the theatre's income and expensesSee attachment
The pattern by which theatre's income and expenses increaseThe functions I(x) and E(x) are linear functions.
So, the pattern with which the functions increase is a linear pattern.
The number of students when the theatre's income and expenses are equal
This means that:
I(x) = E(x)
So, we have:
4.5x = 1.25x + 130
Subtract 1.25 from both sides
3.25x = 130
Divide both sides by 3.25
x = 40
Hence, the number of students is 40
The theatre profitThis is the difference between the theatre expenses and their income.
So, we have:
P(x) = E(x) - I(x)
This gives
P(x) = 1.25x + 130 - 4.5x
Simplify
P(x) = 130 - 3.25x
Solution to the inequalitiesWe have:
E(x) < 255
This gives
1.25x + 130 < 255
Subtract 130 from both sides and divide by 1.25
x < 100 students
Also, we have:
I(x) > 675
This gives
4.5x > 657
Solve for x
x > 146 students
Hence, the number of students for the inequalities are less than 100 and greater than 146
Read more about linear equations and inequalities at:
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The perimeter of a rectangle is 12 meters. Find the maximum area of such a rectangle. You must support your answer with calculus; an answer without support will receive no credit
Answers
Answer:
9
Step-by-step explanation:
12 divided by 4 is 3
3 multiplied by 3 is 3
The maximum area of the rectangle that has a perimeter of 12 meters would be equal to 6x - x^2.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be the length of the rectangle and y be the width of the rectangle
The perimeter of a rectangle = 2( l + b)
12 = 2(x + y)
(x +y) = 6
y = 6- x
The area of the rectangle = length × Width
= x × y
= x ( 6- x)
= 6x - x^2
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4 qt =
С
Show me the steps please
Answers
Answer:
cups =15.99994. according to the holy bible.
Step-by-step explanation:
Find the angle measurements and side lengths for the triangle below
Capital letters are angels , lower case letters are sides
A=
B=
C=
a=
b=
c=
Answers
Answer:
Step-by-step explanation:
Sin(A) = 5/7
Sin(A) = 0.7143
A = sin-1(0.7143
A = 45.58
B = 180 - 45.58 - 90
B = 44.43
C = 90
c = 7
a = 5
b^2 = c^2 - a^2
b^2 = 7^2 - 5^2
b^2 = 49 - 25
b^2 = 24
b = 4.899
What are the step to solving
3(5x - 2 = 3x + 8 - 2x
Answers
this should be the answer
Identify C on the following diagram
Answers
Answer: X-axis
Step-by-step explanation: The arrow is pointing to the horizontal line on the on the graph. That horizontal line is the x-axis.
Four friends went to a basketball game. Each ticket
cost $80 and all four friends bought jerseys
for $15 each.
a. What does the expression 4(80 + 15) represent?
Explain in words.
b. Evaluate the expression in question 1.
c. Evaluate the expression 4.80 +4. 15. What do
you notice?
Answers
Answer:
a) four friends bought each ticket for $80 and also
bought a Jersey for $15
b) 4(95)
= 380
c) 8.95 - the answer is in decimal
I just need help with Part C
Answers
the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.
well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].
Express in the form n : 1. Give n as a fully simplified fraction. 10 : 12
Answers
Answer:
[tex]\frac{5}{6}:1[/tex]
Step-by-step explanation:
[tex]10:12[/tex] divide both sides of this ratio by 12 to give a ratio in the form [tex]n:1[/tex]
[tex]\frac{10}{12}:1[/tex] which simplifies to [tex]\frac{5}{6}:1[/tex]
Theresa entered a photo contest. Each entry was judged by three judges in four different categories. Each category was a percent of the overall score: Originality was 20%, technique was 35%, composition was 20%, and impact was 25%. Entries could earn up to 50 points in each category.
Theresa's scores are shown in the table.
Judge Originality Technique Composition Impact
A 40 45 30 45
B 45 45 40 40
C 35 40 35 40
This equation can be used to find her weighted score for each judge.
weighted score = (weight⋅originality)+(weight⋅technique)+(weight⋅composition)+(weight⋅impact)
What was Theresa's weighted score from each judge?
Enter your answers in the boxes.
Theresa's weighted score for Judge A was
.
Theresa's weighted score for Judge B was
.
Theresa's weighted score for Judge C was
.
Question 2
What is Theresa's overall average score from the three judges?
Enter your answer in the box. Round your answer to the nearest tenth.
points
Answers
Step-by-step explanation:
Judge A: 41 (0.20 x 40)+(0.35 x 45)+(0.20 x 30)+(0.25 x 45)
Judge B: 42.75 (0.20 x 45)+(0.35 x 45)+(0.20 x 40)+(0.25 x 40)
Judge C: 38 (0.20 x 35)+(0.35 x 40)+(0.20 x 35)+(0.25 x 40)
Total score: 40.6
Which number rounds to 5,600 when its rounded to the nearest hundred?
Answers
Answer:
number is either 5600 or 5550 or 5560 or 5570 or 5580 or 5590
Step-by-step explanation:
Do mark BRAINLIEST
Ann's car can go 288 miles on 8 gallons of gas. During a drive last weekend, ann used 5 gallons of gas. How far did she drive?
Answers
Answer:
180 miles
Step-by-step explanation:
Ann's car can go 288 miles on 8 gallonsBase rate
= No. of miles / No. of gallons= 288 / 8⇒ 36 miles per gallon [Important to rememeber!]5 gallons
Distance for 5 gallons = base rate x 5Distance = 36 x 5Distance = 180 milesAnswer:
180
Step-by-step explanation:
288:8=36 means with 1 gallon can drive 36 km
5 gallon used last week so 5*36 =180 km
Johan can get lunch at Joe’s Deli for $12, and he can get lunch at Majestic for $8. In one month, Johan spent $96 on lunches (and he only went to those two places, and he always got the same thing). Which equation represents possible combinations of how many lunches Johan bought at Joe’s and Majestic?
A)y=4x+96
B)12x+8y=20
C)y-8=96(x-12)
D)12x+8y=96
Answers
Answer: D
Step-by-step explanation:
It’s really obvious just circle D
Make a number line and mark all the points that represent the following values of x. X≤2 or x<5
Answers
The inequalities x≤2 or x<5 are unequal expressions
The common points of both inequalities are {.......0,1,2}
What are inequalities?Inequalities are expressions that have unequal values
What are number lines?Number lines are lines that are used to represent numbers and expressions at regular intervals
How to determine the number line?The inequalities are given as;
x≤2 or x<5
This means that:
x is less than or equal to 2
And
x is less than 5
So, we have:
x≤2 = {.......0,1,2}
x<5 = {.......0,1,2,3,4}
The common points of both inequalities are:
x≤2 or x<5 = {.......0,1,2}
See attachment for the number line
Read more about number lines at:
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Find the area of the shaded polygon.
Answers
Answer:
A = 64 sq. unStep-by-step explanation:
This is a trapezium.
The formula od an area of a trapezium:
A = 1/2(a + b) · h
We have:
a = 10, b = 6, h = 8
substitute:
A = 1/2 · (10 + 6) · 8 = 1/2 · 16 · 8 = 8 · 8 = 64
Answer:
A = 64 sq. un
Step-by-step explanation:
6 * 8 + (4 * 8)/2 =
48 + 4 * 4 =
48 + 16 =
64
100 points!!! Please help with this math.
Answers
Answer:
12ft
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the triangles.
The height of the prism is actually the length of the prism, so for this prism the height is 12 ft.
Determine whether or not the equation below is balanced. If it isn’t balanced, write the balanced form. Also, identify the reactant(s) and product(s) in this equation. Finally, label this as one of the five types of reactions: combination, decomposition, substitution, double replacement, or reversible.
Zn+ HCl → ZnCl2 + H2
Answers
Answer:
1. The equation isn't balanced because there aren't equal numbers of hydrogen or chlorine atoms on both sides of the equation. To correct this, a coefficient of 2 must be placed in front of HCl on the left-hand side of the equation.
Zn+2HCl→ZnCl2+H2
Zn and 2HCl are the reactants; ZnCl2 and H2 are the products. This is a substitution reaction because a free element (Zn) replaces another element (H) in a compound.
2. This is a balanced equation because the same types of atoms and the same numbers of each atom are present on both sides of the equation. 8 S atoms are found on both sides of the equation, and 48 F atoms are found on both sides of the equation. S8 and 24F2 are the reactants; 8SF6 is the product. This is a combination reaction because two substances (S8 and 24F2) undergo a chemical union to form a more complex substance (8SF6).
S8+24F2→8SF6
3. In ferric oxide (Fe3O4), there are 3 atoms of iron (Fe) and 4 atoms of oxygen (O). From the Periodic Table of Elements, we know that the atomic mass of iron is 55.8457 and the atomic mass of oxygen is 15.9994.
Fe3 = 55.8457 × 3 = 167.5371
O4 = 15.9994 × 4 = 63.9976
167.5371 + 63.9976 = 231.5347 (231.535 rounded)
Therefore, the molecular mass of ferric oxide is 231.535.
4. The percentage composition of chlorine in CaCl2 is derived as follows:
The molecular mass of the entire compound is:
Ca = 40.078 × 1 = 40.078
Cl2 = 35.4527 × 2 = 70.9054
40.078 + 70.9054 = 110.9834 (110.983 rounded)
The atomic mass of each element (or its multiple) is divided by the molecular mass of the compound:
Ca = 40.078 ÷ 110.983 = 0.361
Cl2 = 70.9054 ÷ 110.983 = 0.639
Multiplying each by 100 will turn these into percents. Therefore, the percentage composition of chlorine is 63.9%.
5. i. a, c, f, h
ii. e
iii. b, d, g, i
iv. i
Step-by-step explanation:
PENN FOSTER
The given chemical equation represents a type of reaction known as a single replacement (or displacement) reaction. In this reaction, zinc (Zn) displaces hydrogen (H) from hydrochloric acid (HCl) to form zinc chloride ([tex]ZnCl_2[/tex]) and hydrogen gas ([tex]H_2[/tex]).
The given chemical equation is:
[tex]Zn + HCl \rightarrow ZnCl_2 + H_2[/tex]
To determine if the equation is balanced, we need to check if the number of atoms of each element is the same on both sides of the equation.
On the left side (reactant side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 1
Chlorine (Cl) atoms: 1
On the right side (product side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 2 (from[tex]ZnCl_2 + H_2[/tex])
Chlorine (Cl) atoms: 2 (from [tex]ZnCl_2[/tex])
The number of hydrogen (H) and chlorine (Cl) atoms is not balanced between the reactants and products. To balance the equation, we need to have the same number of atoms on both sides.
Balanced equation:
[tex]Zn + 2HCl → ZnCl_2 + H_2[/tex]
Now, the equation is balanced with the following number of atoms on both sides:
On the left side (reactant side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 2
Chlorine (Cl) atoms: 2 (2 from HCl)
On the right side (product side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 2 (from H2)
Chlorine (Cl) atoms: 2 (from ZnCl2)
Identification of reactants and products:
Reactants: Zn (zinc) and HCl (hydrochloric acid)
Products: [tex]ZnCl_2[/tex] (zinc chloride) and [tex]H_2[/tex] (hydrogen gas)
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The population of Bloom Falls, Mass (population 937)is slowly moving to a
bigger city. Every year the population drops by 4.5%.
What is the population after 3 years
Answers
Answer:
Step-by-step explanation:
When the population drops by 4.5%, there will be (1 - 4.5%) = 0.955 portion of the original population staying. When it happens 3 years in a row with an original population of 937, there will be:
937*0.955*0.955*0.955 = 816.11
~816 people staying in Bloom Falls.
A tree is broken at a height of 5 m from the ground and its top touches the ground at a
distance of 12 m from the base of the tree. Find the original height of the tree.
Answers:
Answers
Answer:
AB = 18 m . Thus, the original height of the tree = 18 m.
Step-by-step explanation:
write an equation for a circle that has a center at (-6,5) and passes through the point (-11,3)
Answers
Answer:
Your equation would be:
(x + 6)² + (y - 5)² = 29
Step-by-step explanation:
Have a great rest of your day
#TheWizzer