Answer:
Perimeter: 2(7+12), 2*7+2*12, 7+12+7+12
Area: 7*12, 7*10 + 7*2
neither: 7+12
Step-by-step explanation:
perimeter is like if you want a fence all the way around your property and your yard is 7x12 feet. In that case you could use the first option because you have to count the sides and add them up. If it’s a rectangle then there are 2 12’s and 2 7’s so the first one would work. The fourth one also uses distribution. The Fourth and first one are pretty much the same and have the same answer so the fourth one would work for perimeter.
Another way to do perimeter is to instead of multiplying, is to add the sides. 7+12+7+12 is basically 7 times 2 plus 12 times 2 (the fourth ne) and the answer is still correct so this one works too,
For area you times one of the dimensions by the other so 7*12 would work for area.
7*10 + 7*2 would also work because that uses the distributive property and that’s 70 + 14 which is 84 which is still the same answer.
The only one that falls under neither is the fifth one. 7+12 is half of the perimeter because it only adds two of the sides together and has n multiplying so it’s not area either.
Please help!! Use the graph at right to answer the following questions.
Evaluate f(0)
Answer:
f(0) = 1
Step-by-step explanation:
f(0) means what is the value of y when x = 0
locate x = 0 on the number line, at the origin, go vertically up to meet the graph at (0, 1 ) , then
f(0) = 1
The sum of two numbers is 6.006 One number has a 6 in the tenths
place and a 2 in the thousandths place. The other number has a 3 in the
ones place and a 7 in the hundredths place. What are the two numbers? The number is 6.006 not 5.036.
The two numbers include 1.6682 and 4.3378 and this will give a sum of 6.006.
How to illustrate the information?From the information, the sum of two numbers is 6.006 One number has a 6 in the tenths place and a 2 in the thousandths place and the other number has a 3 in the ones place and a 7 in the hundredths place.
In this case, the two numbers include 1.6682 and 4.3378 and this will give a sum of 6.006. The sum will be:
= 1.6682 +4.3378
= 6.006
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Use the model to help find the quotient of 6/8 divided by 1/4
The quotient of 6/8 divided by 1/4 is 3.
How to calculate the value?It should be noted that the information is to find the quotient of 6/8 divided by 1/4.
This will be:
= 6/8 ÷ 1/4
= 6/8 × 4/1
= 3
Therefore, the quotient is 3.
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The formula S = 2nr + 2nrh is used to find the surface area of a cylinder. Solve this formula for h.
Answer:
h = (S - 2nr) / 2nr
Step-by-step explanation:
S = 2nr + 2nrh
2nrh = S - 2nr
h = (S - 2nr) / 2nr
I need help its a math crisis T-T
Please try to get it right...
Answer:
A is the answer.
Step-by-step explanation:
The lower line has slope 2 and passes through (0, 0). The clear circle indicates that the point where x = 1 is not included.
So, if x < 1 the function is 2x.
if x >= 1 the line is 1/2x + 5/2.
please help!! 8x + 12 = 3x + 27 show your work!
Answer:
x=3
Step-by-step explanation:
8x-3x=27-12
5x=15
x=15/5=3
x=3
Answer:
x=3
Step-by-step explanation:
8x + 12 = 3x + 27
Subtract 3x from both sides.
5x+12=27
Subtract 12 from both sides.
5x=15
Divide 5 from both sides.
x=3
Hope this helps!
Please mark as brainliest if correct!
Can somebody help me...
Answer:
EFBGCADHI
That one is confusing, I'm not really sure.
Fill in the blanks with numbers of your choice so that the equation has the given solution. Each blank may be replaced by a different number.6x + ____ =7x-____ , solution is 18
The blanks in the question has same value and it is equal to 9
Given data
6x + ____ =7x-____ , solution is 18
How to find the missing numberslet the missing number be in the left hand side of the equation be equal to the missing number at the right hand side of the equation and both be represented by y.
if the solution is x which is 18 we substitute for y as follows
6x + y = 7x - y
y + y = 7x + 6x
plugging in the values of x
y + y = 7 * 18 - 6 * 18
2y = 126 - 108
2y = 18
y = 9
testing y = 9 in both equations
6x + y = 6 * 18 + 9 = 108 + 9 = 117
7x + y = 7 * 18 - 9 = 126 - 9 = 117
Hence we can say that the blanks in the question has same value and it is equal to 9
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Mr. Bell wants to celebrate the class that scores the highest average score on the cycle one exam covering the standard titled, "One Step Equation with Word Problems." His budget for the incentive is $60. For this total, he can purchase "x" amount of boxes of pizza. Each box of pizza cost $9.25. Select the equation that matches the word problem.
Based on the total budget of Mr. Bell for the incentive and the cost of a pizza box, the equation that matches the word problem is 60 ≥ 9.25x
What equation is correct?The amount that Mr. Bell will spend at the most is the budget for the incentive of $60.
He will not spend more than this amount but will spend a maximum of it. This amount of $60 is therefore equal to or greater than the cost of the pizzas:
60 ≥ cost of the pizza
The cost of the pizza is:
= Cost per pizza box x number of boxes
= 9 × x
= 9x
The equation is therefore:
60 ≥ 9.25x
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Find the measures of each numbered angle.
c. ∠ 4
Measure of angle 4 i.e. m∠4 = 50°
What is measurement of an angle ?The measurement of angle is the degree of that angle or we can also say that the angles are always measured in degree. In geometry, the complete one revolution of four quadrants is of 360 degrees (360°) and divided into total of 360 parts where each part of this represents a degree.
How to find angle measurement ?As stated above there are total 360 parts in one revolution thus thus we can find value of particular angle by subtracting the angle from 360 or 180 for a straight line.
In the question,
Let given angle is ∠8.
Given, ∠8 = 50°
Now, according to vertical angle property
∠5 = ∠8
therefore, ∠5 = 50°
Also, ∠5 = ∠4 (alternate interior angles)
Thus, m∠4 = 50°
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The complete question is :
Find measures of numbered angle.
a. ∠2
b. ∠3
c. ∠4
Solve for d.
8d–3=5+9d
Answer:
-8
Step-by-step explanation:
8d-3=5+9d
8d-9d=5+3
-d=8
d=-8
Answer:
d = -8
Step-by-step explanation:
Hello!
Solve for d by isolating the variable.
Solve for d8d - 3 = 5 + 9d-d - 3 = 5-d = 8d = -8The value of d is -8.
A house is built on a triangular plot of land. Two sides of the plot are 160 feet long, and they meet at an angle of 85^{\circ} . If a fence is to be placed along the perimeter of the property, how much fencing material is needed?
The total fencing material needed for the triangular plot is 537.03 feet.
What is termed as law of cosine?A trigonometric law: the square of a plane triangle's side equals the sum of the squares of a remaining sides minus double the the product of such sides as well as the cosine of a angle between them.
If the triangle ABC is having the sides a, b and c.
Then, the formula for law of cosine is;
c² = a² + b² - 2abcosC
Now, as per the given question;
The first step is to compute the length of the fence's third side. The following formula can be used to calculate the length of a third side:
c² = a² + b² - 2abcosC
Where a,b and c are the three sides and C is the angle forming between sides a and b.
The sides are a = 160 feet, b = 160 feet.
The angle between the sides a and b is 85 degrees.
Now, estimate for c by substituting all the value in the formula.
c² = 160² + 160² - (2 x 160 x 160)cos85
c² = 51,200 - 51200 x0.087
c = √47104
c = 217.03 feet
Now, the total length of the perimeter = 160 + 160 + 217.03
= 537.03 feet
Therefore, the total length of the perimeter of the fencing material is found to be 537.03 feet.
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6. Chasing Angles: Find the measure of all the missing interior and exterior angles in this figure using linear pairs, vertical angles, and triangle angle sum.
The missing angles of triangles are - 30°, 50°, 40°.
What is the angle - sum property of the triangle?
According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the internal angles of a triangle is always 180o, regardless of whether it is acute, obtuse, or right.
There are 5 triangles in the given diagram,
We will see them anti - clock wise.
All the triangles are right - angled triangle.
The measures of 1 triangle are -
90°, Let the other 2 angles be x,y
The measures of the 2nd triangle are -
Given,
60°, 90°
Using angle sum property,
The measure of third angle = 180°
= 60 + 90 + third angle = 180
third angle = 180 - 150
= 30.
The measures of 3rd triangle are -
Given,
40°, 90°
Using angle sum property,
The measure of third angle = 180°
= 40 + 90 + third angle = 180
third angle = 180 - 130
= 50.
The measures of 4th triangle are -
50°, 90°
Using angle sum property,
The measure of third angle = 180°
= 50 + 90 + third angle = 180
third angle = 180 - 140
= 40.
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Use the following bowling scores for six members of a bowling team: 175,210,180,195,208,196 .What is the mean of the scores?
Answer:
1000.6 (The 6 is a repeating so make sure to put a line over it)
Step-by-step explanation:
175+210+180+195+208+196
1164/6
1000.6 ( Put line over 6 is repeating decimal )
Identify the type of data (qualitative/quantitative) and the level of measurement for the eye color of survet respondents.
Qualitative data depicts qualities or characteristics. This type of data is qualitative and nominal.
What is qualitative data?Qualitative data are the conceptual and descriptive findings gathered by surveys, interviews, or observation. We can explore concepts and provide more context for quantitative findings by analyzing qualitative data.
Qualitative data exist as measures of "types" and can be represented by a name, symbol, or number code, whereas quantitative data exist as information on numerical variables (such as how many, how much, or how frequently).
Numbers are used to expressing measures of values or counts in quantitative data. Binary, nominal, and ordinal are the three primary forms of qualitative data.
Qualitative data comes in a wide variety of forms, including those used in statistics, work, and research. This type of data is qualitative and nominal.
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porque 2x+11=3 no da positivo?
Step-by-step explanation:
2x - 11 = 3
2x = 3 + 11
2x = 14 (divide both sides by 2 to get x)
2x/2 = 14/2
x = 7
Answer: x= neagtive 4
Step-by-step explanation:
please help i will give out brainlist
Answer:
slope of ST = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
calculate the slope of PT using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = P (2, 2 ) and (x₂, y₂ ) = T (- 1, - 4 )
[tex]m_{PT}[/tex] = [tex]\frac{-4-2}{-1-2}[/tex] = [tex]\frac{-6}{-3}[/tex] = 2
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{ST}[/tex] = - [tex]\frac{1}{m_{PT} }[/tex] = - [tex]\frac{1}{2}[/tex]
HELP ME ASAP PLS!!
PLUMBING Salvatore is a plumber. He charges $100 for all work that is completed in less than 2 hours. He charges $250 for work that requires 2
to 5 hours, and he charges $400 for work that takes between 5 and 8 hours.
Which best describes the domain of the function that models Salvatore's price scale?
O A) The domain is {100, 150, 400}.
OB) The domain is {z 0 < x < 8}.
C) The domain is {z 100 < x < 400}.
OD) The domain is {zz = 2, 5, 8}.
The domain of the function that models Salvatore's price scale is; {x 0 < x < 8}.
What is the Domain of the Inequality?The domain of a graph is defined as the set of possible input values of a function.
Now, we are told that he charges $100 for all work that is completed in less than 2 hours and also that he charges $400 for work that takes between 5 and 8 hours.
This means that the number of hours will be less than 2 but cannot be zero but it is less than or equal to 8
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What operation is needed to solve this problem: There will be 460 people at the sport’s award banquet. If each table seats 8 people, how many tables are needed?
subtraction
multiplication
division
addition
Find the geometric mean between pair of numbers.
40 and 15
The value of the geometric mean of the numbers 40 and 15 is.
Gm ( 40, 15) = 10√6
What is the geometric mean?The geometric mean is defined as a type of measure that is calculated as the root of a product between a set of numbers, it can be expressed as follows:
Gm (a,b) = √ab
Then in our case that we have the values 40 and 15, these are equivalent to the variables a and b
a = 40b = 15We substitute and solve for the square root
Gm (40, 15) = √40×15
Gm (40, 15) = √600
Gm (40, 15) = √6×100
Gm ( 40, 15) = 10√6
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An artist uses gold leaf foil in his work. he wants to cover a piece of canvas that is 22.5 by 34 inches with this foil. the foil costs $4.15 per square inch. how much money will the artist spend on gold leaf foil for his project?
If an artist uses gold leaf foil in his work and he wants to cover a piece of canvas that is 22.5 by 34 inches with this foil and the foil costs $4.15 per square inch, then the money the artist spent on gold leaf foil for this project is equal to $3174.75
The money spent on gold leaf foil for the project can be calculated by the multiplication of the area or square inch of the foil needed to cover the piece of canvas with the price per square inch.
The area or square inches can be calculated by multiplying the length in inches by the width in inches.
Area = 22.5 × 34
Area = 765 square inches
Now, money spent on gold leaf foil can be calculated by multiplication of the area of the need with the price per square inch.
Area × price per square inch
765 × 4.15 = $3174.75
Hence the money the artist spent on gold leaf foil is calculated to be $3174.75
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i need to know how to solve this
Answer:
let's say (5x + 2) = y
then that means 118° + y = 180°(angle in a straight line)
therefore y =180 - 118= 62°
since y = 5x + 2
and y= 62°
therefore 5x + 2 = 62°
5x = 62- 2= 60°
therefore 5x = 60°
this means that x = 60 ÷5 = 12°
5x/7-3/2+1 then x+1=
Write a coordinate proof of the Distance Formula in Space.
Given: A has coordinates A(x₁, y₁, z₁) , and B has coordinates B(x₂, y₂, z₂) .
Prove: A B = √(x₂-x₁)² + (y₂-y₁)² + (z₂ - z₁)²
Required coordinate proof of distance formula between two points in 3 dimension is:
[tex]AB = \sqrt{(x_{2}-x_{1} )^2 +(y_{2}-y_{1} )^2 + (z_{2}-z_{1} )^2}[/tex]
As given,
Let points A(x₁, y₁, z₁) and B(x₂, y₂, z₂) be referred to a system of rectangular axes OX , OY, OZ.
Through the points A and B, we draw planes parallel to rectangular coordinate plane as rectangular parallelepiped with AB as diagonal.
Pythagoras Theorem
[tex]AB^2 = AC^2 + CB^2....(1)[/tex]
[tex]AB^2=CD^2+DB^2...(2)[/tex]
From equation (1) and (2) we have,
[tex]AB^2=AC^2+DB^2+CD^2[/tex]
As coordinates of the points, A and B as known,
[tex]AC =y_{2}-y_{1}, CD = x_{2} -x_{1} and DB= z_{2}-z_{1}[/tex]
Distance formula :
[tex]AB^2=(x_{2}-x_{1} )^2 +(y_{2}-y_{1} )^2 + (z_{2}-z_{1} )^2[/tex]
Therefore, required coordinate proof of distance formula between two points in 3 dimension is ,
[tex]AB = \sqrt{(x_{2}-x_{1} )^2 +(y_{2}-y_{1} )^2 + (z_{2}-z_{1} )^2}[/tex]
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1 foot = how many inches
Answer:
12 inches = 1 foot
Step-by-step explanation:
Really?
A homeowner whose house was assessed
at $120,000 pays $1,800 in taxes. At the
same rate, what is the tax on a house
assessed at $135,000? PLS SOMEONE HELP me !!!And ty !!!
Thus the tax rate is 1.5% and the 1.5% tax value of $135,000 is $2025.
How do we find the tax rate?We are given that;
A homeowner whose house was assessed at $120,000 pays $1,800 in taxes.
At the same rate, we need to find out what the tax value on a house assessed at $135,000.
The rate is always in percentage. Thus;
Tax value = 5% of 100
= 5/100 x 100
= $5
We have,
House cost = $120,000
Tax amount = $1800.
Let the rate be R%
Now;
R/100 * 120,000 = 1800
R * 1200 = 1800
R = 1800/1200
R = 18/12 = 1.5
R = 1.5%
The tax rate is 1.5%
The 1.5% tax value of $135,000 = 1.5 / 100 * 135,000
= 15/1000 x 135,000
= 15 x 135
= $2025
The tax value is $2025.
Thus the tax rate is 1.5% and the 1.5% tax value of $135,000 is $2025.
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Question 3 of 10
The sequence an = 8, 13, 18, 23, ...is the same as the sequence a₁ = 8,
an = an-1 +5.
O A. True
OB. False
SUB
True, The sequence an = 8, 13, 18, 23, ...is the same as the sequence a₁ = 8,
an = an-1 +5.
What is an arithmetic sequence?An arithmetic sequence is a set of integers which follow a specific pattern. It is an arithmetic sequence if you pick any number in the sequence and subtract it from the preceding one, and the result is always the same or constant.
The common difference, indicated by the letter d, is the constant difference between all pairs of consecutive or succeeding numbers in a sequence. To transition from one phrase to another, we use the common difference. How? To get to the following term, take the current term and add the common difference, and so on. That is how the sequence's terms are formed.
The first equation is as follows: a(sub n) = 8, 13, 18, 23.
The second equation is: a(sub 1)=8; a(sub n)= a(sub n-1)+5
To obtain the second term, enter two into the equation for n 8+5=13. To find the third, enter the second term, 13, into the equation for n 13+5=18.
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Simplify (-8)^3)6x(1/2)^2x(-8)^-16
After simplifying the expression we get the answer as ₋3x²/8¹³.
Given the expression is (₋8)³ 6x (1/2)²2x(₋8)⁻¹⁶
expand the powers.
(₋8×₋8×₋8) 6x (1/2 × 1/2)2x × 1/8¹⁶
we get:
(₋512) 6x (1/4) 2x × 1/8¹⁶
(₋8)³ 6x (1/4) × 2x × 1/8¹⁶
cancel 8 from numerator and denominator.
₋6x × 1/4 × 2x × 1/8¹³
divide the numbers.
₋3x² × 1/8¹³
₋3x²/8¹³
Hence we get the simplified answer as ₋3x²/8¹³.
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Shilpi deposited some amount in a bank at the rate of 6% per annum which amounts to 8850 for 3 years. find the amount deposited by shilpi. please tell me an answer to me if you have this same question
The amount deposited by Shilpi is 8850
The final answer if I have this same question would be 8850
We are to use simple interest to find out the initial amount deposited
The formula for getting Simple Interest is
SI = (P × R ×T) / 100
Thus,
8850= P * 0.06 * 3
8850= 0.18P
P= 8850 * 0.18
P= 1593
Therefore, the amount deposited by Shilpi is 1593
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The total charge on 8 particles is -56 units. all the particles have the same charge. what is the charge on each particle? 8units 7units -7units -8units
If the total charge on 8 particles is -56 units and all the particles have the same charge, then the charge on each particle is equal to -7 units.
The charge on each particle can be determined by division.
Division is a part of the basic operations of arithmetic which are four in number, the rest being addition, subtraction, and multiplication. It can be considered the opposite of multiplication and involves separating into equal parts or groups.
The change on each particle can be calculated by dividing the total charge units by the total number of particles. Hence,
charge on each particle = total charge units ÷ total number of particles
charge on each particle = -56 / 8
charge on each particle = -7
Therefore, the charge on each particle is equal to -7 units if all the particles have the same charge.
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