The amount paid for the refrigerator is $740.25.
How to calculate the price?From the information, the sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price.
The price of the refrigerator will be:
= $705 + (0.05 × $705)
= $705 + $35.25
= $740.25
Therefore, the amount paid for the refrigerator is $740.25
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Suppose triangle XYZ has vertices X¢(-1, -7), Y¢(-2,0), and Z¢(-3,4) after being translated 2 units down and 5 units left. What were the original coordinates of triangle XYZ?
You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?
Find four consecutive integers such that 8 times the sum of the first and the third is 40 greater than 10 times the fourth
I already know the answer is 9, 10, 11, 12 but I need help in showing steps on how i get that answer
All four consecutive integers will be 9, 10, 11, and 12 and can be found out by high common sense.
What is the pattern?
A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.
Given that,
8 times the sum of the first and the third = 8( 1st + 3rd)
40 greater than 10 times the fourth = 40 + 10(4th)
So,
8( 1st + 3rd) = 40 + 10(4th)
Now if we look right and side then it will come out as any number with the unit placed as 0.
So it means on the left side also the unit place must be 0.
By thinking of 1st + 3rd = 10 /20 because at 45 it will be 40 which is not equal to the right-hand side.
Now by hit and trial method, we need to guess it 20 = 9 + 11
Then
8(9 + 11) = 40 + 10(12)
One equation can never give us three unknowns hence it will be the correct way.
Hence so the four consecutive integers will be 9, 10, 11, and 12.
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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pls answer correctly and then you will get brainliest
2p + 5r equals q
solve for p
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(p =\frac{q-5r}{2}\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Solving for 'p'...}}\\\\2p+5r=q\\-----------\\\\\rightarrow 2p + 5r - 5r = q - 5r\\\\\rightarrow 2p = q - 5r\\\\\rightarrow \frac{2p=q-5r}{2}\\\\\rightarrow \boxed{p =\frac{q-5r}{2}}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
what expression is d squared
Find the perimeter and area of the rectangle. Include unit of measurement.
a
b
a = 8.2 ft, b=4.9 ft
The area and perimeter of the rectangle is : [A] = 40.18 square feet and [P] = 26.2 feet respectively.
What is the area and perimeter of a rectangle? What is a mathematical function, equation and expression? rectangle perimeter : 2{L + B} (L - length, B - breadth)rectangle area : {L x B} (L - length, B - breadth)function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a rectangle with dimensions as follows -
{L} = 8.2 ft
{B} = 4.9 ft
Rectangle perimeter : 2{L + B} (L - length, B - breadth)[P] = 2{8.2 + 4.9} = 2 x 13.1 = 26.2 feet
[P] = 26.2 feet
Rectangle area : {L x B} (L - length, B - breadth)[A] = {8.2 x 4.9} = 40.18 square feet
[A] = 40.18 square feet
Therefore, the area and perimeter of the rectangle is : [A] = 40.18 square feet and [P] = 26.2 feet respectively.
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Which expression is represented by the model shown below?
brit of beau ad noo noiz
Srodeq nislame
Answer:
4*9
Step-by-step explanation:
It's obvious.
The universities budget covers cost for nine months what is Amy’s monthly budget for textbooks in course supplies? What is her monthly budget for rent on utilities and food? What is your monthly budget for a personal and miscellaneous cost? what is her total monthly budget?
We can compute Amy's monthly budget for each question using division operations, as follows:
1. Amy's monthly budget for textbooks and course supplies is $100.
2. Amy's monthly budget for rent, utilities, and food is $1,422.
3. Amy's monthly budget for personal and miscellaneous costs is $251.
4. Amy's total monthly budget is $1,825.
How to determine the monthly budget:The total monthly budget is the total budget divided by the period (nine months).
Division operations can be used to determine the individual monthly budgets for each expense class by dividing the total cost by 9.
Living On/Off-Campus:Textbooks and Course Supplies = $900 $100
Rent, Utilities, and Food = $12,798 $1,422
Personal & Miscellaneous Expense = $2,259 $251
Transportation = $468 $52
Total non-tuition expenses = $16,425 $1,825 ($16,425/9)
The number of months for the year = 9 months
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what is 1/100 as a decimal
Answer:
0.01
Step-by-step explanation:
There is 2 zeros in 100 so:
0.01
geometry: HELPPPP PLSS!!
Answer:
A, C and G
Step-by-step explanation:
\(\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
From inspection of the given right triangle:
θ = 25°O = aA = bH = cSubstitute the values into the trigonometric ratios:
\(\implies \sf \sin(25^{\circ})=\dfrac{a}{c}\)
\(\implies \sf \cos(25^{\circ})=\dfrac{b}{c}\)
\(\implies \sf \tan(25^{\circ})=\dfrac{a}{b}\)
\(\boxed{\begin{minipage}{4 cm}\underline{Trigonometric values} \\\\$\sin(90^{\circ}- \theta)=\cos \theta$\\$\cos(90^{\circ}- \theta)=\sin \theta$\\$\tan(90^{\circ}- \theta)=\cot \theta$\\\end{minipage}}\)
Using trigonometric values and the calculated trigonometric ratios:
\(\begin{aligned} \sf \sin(90^{\circ}- 25^{\circ})&=\sf \cos (25^{\circ})\\\implies \sf \sin(65^{\circ}) &=\sf \dfrac{b}{c}\end{aligned}\)
\(\begin{aligned} \sf \cos(90^{\circ}- 25^{\circ})&= \sf \sin(25^{\circ})\\\implies \sf \cos(65^{\circ}) &=\sf \dfrac{a}{c}\end{aligned}\)
\(\begin{aligned}\sf \tan(90^{\circ}- 25^{\circ})&= \sf \cot(25^{\circ})\\\implies \sf \tan(65^{\circ}) &= \sf \dfrac{1}{\tan(25^{\circ})}\\\implies \sf \tan(65^{\circ}) & = \sf \dfrac{b}{a}\end{aligned}\)
Therefore, the true equations are:
\(\sf A: \quad \cos(25^{\circ})=\dfrac{b}{c}\)
\(\sf C: \quad \sin(65^{\circ})=\dfrac{b}{c}\)
\(\sf G: \quad \sin(25^{\circ})=\cos(65^{\circ})\)
third time asking, please help.
In a triangle one angle is three times the smallest angle and the third angle is 45 more than twice the
smallest angle. Find the measure of all three angles. Hint: The angles of a triangle add up to 180°
Answer:
The 3 angles are 22.5, 67.5 and 90 degrees.
Step-by-step explanation:
Let the smallest angle be x degrees.
Then the other angles = 3x and 2x + 45.
x + 3x + 2x + 45 = 180
6x = 180 - 45
6x = 135
x = 135/6 = 22.5 degrees
3x = 67.5 degrees
2x+45 = 90 degrees.
6The table below represents the charges for using the Internet at a cafe. 3 Number of Minutes Amount Charged (in dollars) 7.5 30 R. 120 12 220 Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)
m=(12-7.5)/(120-30)
m=0.05
y=0.05x+b, using point (30,7.5)
7.5=0.05(30)+b
7.5=1.5+b
b=6
y=0.05x+6
Micki runs 3 miles during each track practice. The
graph below represents the total number of miles
she has run, d, in terms of the number of track
practices she has attended, t.
HELP ME PLS ASAP PLS PLZ I NEED FOR TODAY AS IN 2/18/21! PLZZZZ
Answer:
A d= 3t
Step-by-step explanation:
(6)= 3(2)
(9)= 3(3)
(12)= 3(4)
(15)= 3(5)
(18)= 3(6)
An object is thrown into the air going 9 m/s. How fast is it going 2 seconds later?-10.6 m/sO 10.6 m/s0 m/sO 0.8 m/s
To answer this question we have to remember that
\(a=\frac{v_f-v_0}{t}\)In this case a=-9.81, t=2 and v0=9. Then
\(\begin{gathered} -9.81=\frac{v_f-9}{2} \\ 2(-9.81)=v_f-9 \\ v_f=2(-9.81)+9 \\ v_f=-10.62 \end{gathered}\)Therefore the speed after two seconds is -10.62 m/s.
you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.
Answer:
id ont givea
efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr
Step-by-step explanation:
idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
If you answer this for me I’ll give you brainless
Answer:
Step-by-step explanation:
area = \(3.14*(22)^2 = 1519.76\)
write the equation -x+3y=6 in slope intercept form.. then graph the line described by the equation
Given the equation of a line
\(-x+3y=6\)The slope-intercept form of a line is given as
\(\begin{gathered} y=mx+c \\ \text{Where} \\ m\text{ is the slope of the line and} \\ c\text{ is the y-intercept of the line} \end{gathered}\)Hence to express the line -x + 3y = 6 in slope-intercept form, we need to isolate the variable y
\(\begin{gathered} -x+3y=6 \\ \text{ Add x to both sides of the equation} \\ -x+x+3y=6+x \\ 3y=6+x \\ y=\frac{x}{3}+\frac{6}{3} \\ y=\frac{x}{3}+2 \end{gathered}\)The graph of the function is given by
x⁵+x³-5 is divided by x-2
The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:
1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).
x - 2 | x⁵ + x³ + 0x² + 0x - 5
2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
4. Bring down the next term (-5) from the dividend.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
7. Repeat steps 4-6 until you have subtracted all terms.
x⁴ + 3x³ + 6x² + 12x + 24
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
- (6x³ - 12x²)
12x² + 0x + 0
- (12x² - 24x)
24x + 0
- (24x - 48)
48
8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
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A rectangle is 1/2 red, 1/5 green and 1/10 blue. The rest is yellow. What ratio of the rectangle is yellow? PLEASE HELP
Find the value of g (x) = 7/8 x - 1/2 where x is 7
Answer:
5.625
Step-by-step explanation:
.......... do it now? Can't I do it later?
a) I've to
b) Have I
c) Do I have to
d) Should I
Answer:
d
Step-by-step explanation:
You are asking a question trying to suggest whether it can be done later
One of the legs of the obtuse isosceles △ABC and △DBE lie on the same line sharing vertex B without overlapping. The sides DE and AC intersect at point F, DC = 12 in, m∠BDF=m∠BCF=30°. Find AE and CE.
GIVE FULL EXPLANATION
PLZ HELP ILL GIVE 100 POINTS
9514 1404 393
Answer:
AE = CE = 12 in
Step-by-step explanation:
Angles BDF and BCF are base angles of their respective isosceles triangles. That means the a.pex angle of each, DBF and ABC respectively is ...
180° -2×30° = 120°
In your diagram, BC is 120° from the -x axis, so is 60° from the +x axis. It bisects the angle DBE. Similarly, BE is 120° from the +x axis, so is 60° from the -x axis. It bisects angle ABC. In an isosceles triangle, the a.pex angle bisector is an altitude and is the perpendicular bisector of the base segment. Any point on that line is equidistant from the base vertices.
Point C lies on the perpendicular bisector of DE, so CD ≅ CE = 12 in.
Point E lies on the perpendicular bisector of AC, so EC ≅ EA = 12 in.
The measurements of interest are ...
AE = CE = 12 in.
_____
Additional comment
Point F serves no purpose except to confuse the issue. Each of the angles that reference point F could be described equally well using a different point:
∠BDF = ∠BDE
∠BCF = ∠BCA
This makes it more obvious that the triangles of interest are similar.
Answer:
12
12
Step-by-step explanation:
see the below figure
i got that both triangles are similar
we get that in triangle ABC angle BCF is 30
so angle A is also 30 (isosceles)
so the remaining angle ABC is 120
and angle CBD becomes 180 - 120 = 60
now in triangle BDE angle BDF is 30
so angle BED is also 30
now angle EBC becomes 120 - angle CBD = 120 - 60
and got angles ABE EBC CBD as 60 each
so three 60 degree angles are formed at vertex B as shown in the figure
tw0 30 30 120 degree triangles are similar
BC becomes perpendicular angular bisector of ED
C is a point on that line which is at equal distance from the base vertices
so CD = CE = 12
here BE is perpendicular bisector of AC
so AE = EC = 12
Find the slope of the line that passes through the points (1, 1) and (7,5). If
you get stuck, try plotting the points on a grid and drawing the line through
them. Your answer should be a whole number or a simplified fraction.*
Answer:
Slope equals 2/3
Step-by-step explanation:
To find the slope of a line given two points, you have to plug the points into the equation m=(y2-y1)/(x2-x1). Doing this with these points gives us 4/6 or 2/3.
Question 3
If the sales tax for the city of Los Angeles is 9,75%, how much tax would you pay for an item that costs $500.00?
Answer:
$48.75
Step-by-step explanation:
500.00 x 9.750=$48.75 sales tax
PLEASE HELPPPP
Given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x + π)?
square root of 3 over 2
negative square root of 3 over 2
one half
negative one half
Cosine is a trigonometric function. The value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2. The correct option is A.
What is a cosine?Cosine is the trigonometric function equal to the ratio of the side next to an acute angle to the hypotenuse in a right-angled triangle.
Given the value of cos(x)=-(√3)/2, therefore, the value of x can be written as,
cos(x) = -(√3)/2
(x) = cos⁻¹ [-(√3)/2]
x = 5π/6 = 150°
Now, the value of cos(x+π) will be,
cos(x+π)
= cos[(5π/6)+π]
= cos(11π/6)
= √3 / 2
Hence, the value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2.
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You needn't to find x
There is a formula of cos(x+π)Given
cosx=-√3/2
The formula states
\(\boxed{\sf cos(x+\pi)=-cosx}\)
So here
cos(x+π)-cosx-(-√3/2)√3/2Option A
Help me solve this I’ve been stuck on this question.
Thank you
Answer:
The answer is 94.25 sq.in
Step-by-step explanation:
Given rectangle- 7 1/4 in by 13
to fin area for one of the triangles
For triangle, base = 13 in, height = 7 1/4 in, = 29/4 in
Area- 1/3 x base x height = 1/2 x 13 x 29/4 in. 2
= 37/4 in. 2
= 94.25 sq. in
State whether the following statements are True or False:
a) If the perimeter of a square is 96 cm, then its area will be 384 sq. cm.
b) In ∆ ABC and ∆ PQR, Angle A = Angle P, AB = PQ and Angle B =
Angle Q, then the two triangles are congruent by the ASA test.
c) The total cost of putting a fence around a rectangular garden of length
12 m and breadth 6 m at the rate of Rs. 100 per metre is Rs. 3600
d) Each angle of an equilateral triangle is 80°
Answer:
a) False
b) True
c) True
d) False
Step-by-step explanation: