Answer:
The TV is 64.3 in. wide.
Step-by-step explanation:
a
2
+(63)
2
=
\,\,90^{2}
90
2
Use the Pythagorean Theorem.
a^{2}+3969=
a
2
+3969=
\,\,8100
8100
Simplify.
-3969\phantom{=}
−3969=
\,\,-3969
−3969
Subtract 3969 from both sides.
a^{2}=
a
2
=
\,\,4131
4131
\sqrt{a^{2}}=
a
2
=
\,\,\pm\sqrt{4131}
±
4131
Square root both sides.
a=
a=
\,\,64.272855...
64.272855...
Simplify. Ignore negative root, as length must be positive.
a\approx
a≈
\,\,64.3
64.3
Round to the nearest tenth.
The rectangle TV's width is determined by the formula W = 64.3 inches.
What is the diagonal of a rectangle?The formula determines a rectangle's diagonal.
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let D represent the diagonal of the rectangular TV.
D is now equal to 90 inches.
Let the TV's rectangle size be 63 inches.
Let W be the TV's rectangular width.
And , Diagonal of a Rectangle = √ ( Length )² + ( Width )²
D² = L² + W²
90² = 63² + W²
Subtracting 63² on both sides of the equation , we get
W² = 90² - 63²
On simplifying the equation , we get
W² = 4131
Taking square roots , we get
W = √4131 inches
W = 64.3 inches
Thus , W is equal to 64.3 inches.
Hence, the rectangular TV is 64.3 inches wide.
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Write a Parallel line for the equation =34−5
Answer:
y = 34x + 3
Step-by-step explanation:
we want to write a parallel line equation for;
y = 34x-5
The general equation of a straight line is;
y = mx + b
where m is slope and b is y intercept
from what we have above, 34 is the slope
When two lines are parallel, the slope value is equal irrespective of the y intercept value
since slope is equal, we can have ;
y = 34x + 3
Hi, please help ! (see image)
Answer:
R = 144400000/59 [this is a fraction]
what is the difference in the volumes, in cubic inches, of two spheres, one with a radius of 3 inches and the other with a radius of 5 inches.
The difference in the volumes of the sphere is 410.29 inches³.
What is the difference in the volumes?A sphere is a three dimensional circle in which each point on the circumference is equidistant from its center. The volume of a three-dimensional object is the amount of space in the object.
The formula for the volume of the sphere = 4/3πr³
Where:
π = 3.14r = radiusDifference in the volumes = volume of the larger sphere - volume of the smaller sphere
(4/3 x 5³ x 3.14) - (4/3 x 3³ x 3.14)
523.33 - 113.04 = 410.29 inches³
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Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. If you created a label for this product. What is the length of this label?
2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?
suppose the price of each vial is $5.00. What is the cost of a box?
4/9 down on a number line
Answer:
Step-by-step explanation:
!:}
-------------------------------------------------------------------------------------------------------------
0 1/9 2/9 3/9 4/9 5/9 6/9 7/9 8/9 9/9
2 An experimental airplane is flying at an altitude of 8,000 feet when it begins descending to land. If the plane descends at a constant rate of 125 feet per minute, how long will it take to land the plane? A. Estimate the quotient. Explain how you found your estimate. B. How do you decide where to place the first number in the quotient? C. How long will it take the plane to land? How can you use your estimate to check if your answer is reasonable? 125 8000 500 0
Step-by-step explanation:
What is the area of a circular pool with a diameter of 18 feet? Use 3.14 for
pi and round your answer to the nearest hundredth.
Answer:
254.47 (exact)
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
im pretty sure a b g
Step-by-step explanation:
what is the measure of angle a
Answer:
C. 19.47°
Step-by-step explanation:
The triangle's angles are 90°, 70.53°, and 19.47°.
what is the area of the shaded part, in square meters, below?
Check the picture below.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{rectangle}{(4)(20)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{5})(\underset{h}{20})}}\implies 80+50\implies \text{\LARGE 130}~m^2[/tex]
A basket of the fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, draw the 2nd piece of fruit from the basket, keep that, and then draw a third piece of fruit from the same basket. What is the probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded?
A. 5/144
B. 5/108
C. 1/28
D. 1/22
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.
What is the probability:The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out.
The outcome of an event may be known to us or unknown to us. When this happens, we indicate that there is a probability that the event will happen or not.
It is also defined as the ratio of the number of favorable outcomes to the total number of outcomes.
The formula for the probability of an event is given by
P(E) = No of favorable outcomes/ Total No of outcomes ]
Here we have
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges.
Total number of fruits = 4 + 3 + 5 = 12
By the given formula,
Probability of selecting 1 banana = 4/12 = 1/3
Probability of selecting 1 apple = 3/12 = 1/4
Probability of selecting 1 orange = 5/12
The order of the fruits that is given is 1 banana, then 1 apple, then 1 orange
Let's assume that,
We taken 1 banana
=> The probability of selecting one banana = 1/3
After taking one banana, remaining fruits = 12 - 1 = 11
Now we have drawn 1 apple
=> The probability of selecting one apple in 11 fruits = 3/11
After taking one apple remaining fruits = 11 - 1 = 10
=> The probability of selecting one orange from 10 fruits = 5/10 = 1/2
From the above calculations,
The probability of selecting in given order = (1/3)(3/11)(1/2) = 3/66 = 1/22
Therefore,
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.
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Is x-intercept a number or a point?
The point at a graph where the graph cuts the x-axis is known as the x-intercept. Therefore, the x-intercept is a point.
A graph is made up of four quadrants in which two are positive and two are negative quadrant.
There are two types of axis which are x-axis and y-axis two negative and two positive.
The y-intercept is the point where the graph cuts the y-axis .Graph Theory is the study of graphs which comes under discrete mathematics.
It is defined as a mathematical structure that connects a group of points to express a specific function.
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Solve equations - two sides
(135a)
Solve
2x - 7=7x +5
Answer:
x=-12/5
Step-by-step explanation:
2x-7=7x+5
2x-7x=5-(-7)
-5x=5+7
x=12/-5
x=-12/5
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Hope it helped :) If you need a explantion step by step then tell me.
A part-time handyman made $8798. 04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?
A. $551. 96
B. $5,148. 04
C. $0
D. $3,098. 04
$0, He earned $8798 in net taxable income the previous year. He has a negative amount of taxable income since the exemption and the allowed deduction are larger than his annual gross income.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.
In finance and economics, compound interest is common.
In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.
The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.
According to our question-
Last year, a part-time housekeeper earned $8798.
He claimed he was exempt, costing $365.
$570.00 is the standard deduction.
Gross income less the standard deduction and all exemptions equals taxable income.
= 8798 - 3650 - 5700 = $-552
There is a negative number, which indicates that he owes no taxes.
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What is the result of adding the system of equations 2x y 4 3x y 6?
The addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be [tex]5x+y^4+y^6[/tex]
A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).
Simply add the coefficients of each phrase to add polynomials.
You may remove polynomials by subtracting the coefficients.
To add polynomials, just combine any like terms.
Step 1: Arrange each polynomial in decreasing order of degree, starting with the term with the highest degree.
Step 2: Sort the words that are similar. Similar phrases have the same variables and exponents.
So, the addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be (2x+3x) (As here both are only the like terms, so they will be added together)
So, the sum will be: [tex]5x+y^4+y^6[/tex]
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The correct question should be:
What is the result of adding the system of equations:
[tex]2x+y^4[/tex] and [tex]3x+y^6[/tex]
Ali, ben and cathy hare an amount of money in the radio 8:9:10 what fraction of the money doe ben get?
There are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
What do you mean of ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
How to find the ratio?Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10.
For n/(8+9+10), where n is an integer <27
Ali : Ben : Cathy
8 : 9 : 10
Thus, there are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
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A ladder of 6m rests with it's foot on a horizontal ground and leans against a vertical wall. The imclination of the ladder to the horizontal is 80 degree.Find correct to 1d.P. (a) The distance of the foot of the ladder from the wall (b) The height above the ground at which the upper end of the ladder touches the wall.
Answer:
a) 1.0m
b) 5.9m
Step-by-step explanation:
(a) The distance of the foot of the ladder from the wall
cos∅ = adj/hyp
cos80 = adj/6
multiply both sides by 6
6 * cos 80 = adj
1.041889066001582 = adj
to 1 dp
1.0m
-------------------------------
(b) The height above the ground at which the upper end of the ladder touches the wall
sin∅ = opp/hyp
sin80 = opp/6
6 * sin80 = opp
5.908846518073248 = opp
To 1 dp
5.9m
Find the equation for the line running
to y = -5x + 5 and passes through the
perpendicular
point (10,7).
let's reword this a bit differently, since it looks jumbled
let's find the equation of a line that is perpendicular to y = -5x + 5, and it also passes through (10 , 7), well, keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-5}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -5 \implies \cfrac{-5}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-5} \implies \cfrac{1}{ 5 }}}[/tex]
so we're really looking for the equation of a line with a slope of 1/5 and that it passes through (10 , 7)
[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ \cfrac{1}{5}}(x-\stackrel{x_1}{10}) \\\\\\ y-7=\cfrac{1}{5}x-2\implies {\Large \begin{array}{llll} y=\cfrac{1}{5}x+5 \end{array}}[/tex]
Graph the solution to this inequality on the number line.
−8+x<−3
marking brainliest
The inequality is solved as x < 5 and it is plotted on the number line.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given inequality is −8 + x < −3.
It can be solved as follows,
⇒ −8 + x < −3
Add 8 both sides as,
⇒ 8 + −8 + x < −3 + 8
⇒ x < 5
It can be plotted on the number line as follows,
Hence, the solution is given as x < 5 and it is represented on the number line with clarity.
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The point (14, –3) and (–10, –3) fall on a particular line. What i it equation in lope-intercept form?
Its equation in the slope-intercept form will be y = -3 because the y coordinates of both points are equal.
Given points in terms of coordinates so let's try to understand what are coordinates.
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis(vertical) are the two axes that make up a coordinate plane. (Telling children that the x-axis crosses because "x" is a cross helps them remember which of these is which.)
We have total 4 coordinates
First Coordinate both x and y are positive.
Second Coordinate x is negative and y is positive.
Third Coordinate both x and y are negative.
Fourth Coordinate x is positive and y is negative.
Point A is (14, -3)
Point B is (-10, -3) both have the same y coordinate.
So line AB is parallel to the x-axis.
The formula for the equation in the slope-intercept formula is
y = mx + c.
m is the slope of the line and c is the intercept on the y-axis.
Line AB is parallel to the x-axis the equation is y = -3.
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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
A)Y = -3 x+ 56
B)Y = -2 x +46
C)Y = -2 x +56
D)Y = 2 x + 56
The equation for the linear model in the scatter plot is Y = -2x + 56.
To calculate this equation, we need to find the slope (m) and the y-intercept (b). The slope is calculated with the formula m = (y2 - y1) / (x2 - x1), where x and y represent the coordinates of two points on the graph.
The two points closest to the line in the scatter plot are (2, 48) and (4, 52). Substituting these values into the formula gives us m = (52 - 48) / (4 - 2) = 4/2 = 2.
The y-intercept is the point where the line crosses the y-axis. To find it, we need to substitute the slope and one point's coordinates into the equation y = mx + b. For our equation, we will use the coordinates (2, 48). Substituting these values into the equation gives us 48 = 2x + b, and solving for b gives us b = 48 - 2(2) = 44.
Therefore, the equation for the linear model in the scatter plot is Y = -2x + 56.
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[tex]if 5(n - 6) = 1find \: n[/tex]
Answer:
n = 6.2
Step-by-step explanation:
5 ( n - 6 ) = 1
→ Expand
5n - 30 = 1
→ Add 30 to both sides
5n = 31
→ Divide both sides by 5
n = 6.2
A bicycle has a listed price of 839.95 before tax. If the sales tax rate is 85%, find the total cost of the bicycle with sales tax included. Round to the nearest cent as necesary.
$1553.91
Step-by-step explanation:
839.95 ×.85 = 713.96
839.95 + 713.96 = 1553.91
Can someone help me solve this?
The value of x is 15 units and the value of y is 12 units from the given figure.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the figure, AB is parallel to CD.
∠AOB=∠COD (Vertically opposite angles)
∠OAB=∠ODC (Alternate angles)
By AA similarity ΔAOB similar to ΔCOD
Now, 9/x =y/20 =3/5
9/x=3/5
x=15 units
y/20=3/5
y/4=3/1
y=12 units
Therefore, the value of x is 15 units and the value of y is 12 units from the given figure.
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Anyone pls? I'll give brainliest
Answer:The answer to your question is 5
A heavy rainstorm damages this year's crop of peanuts. The price of peanut butter increases. What will happen to the demand of jelly?
Answer the 3 questions below related to this scenario.
Complete sentences are not required. Please number each answer.
1. Will there be an increase or decrease?
2. Which way will the graph shift?
3. What is the determinant?
On solving the provided question, we got to know that - to plot the graph, required equation is 3x +y -8 = 0
What is an expression?a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples - 2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥
We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value. To plot the graph,we need to find the equation first.
and to find the equation -
(y - y1) = m( x - x1)
y1 = -4
x1 = -2
y = 3
x = -5)
equation -
(-3)(x-1) = y-5
-3x + 3 = y-5
3x - 3 = 5-y
3x +y -8 = 0
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Find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27, 31, 31, 33
The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.
What is mean ?
mean can be defined as the ratio of sum of the total observations and the number of total observations.
Given set of data
11,13,17,20,22,25,27,31,31,33
Mean = 11 +13+17+20+22+25+27+31+31+33/10
= 230/10
=23
Hence mean = 23
The (n/2)th term= the 5th term
=22
The (n/2+1) term = The 6th term
= 25
The median = 22+25/2
=23.5
Range = Highest term - lowest term
=33- 11
=22
Here lower half {11,13,17,20,22}
The middle number of lower half is first quartile.
Q₁ = 17
And lower half is{25,27,31,31,33}
The middle number of upper half is third quartile.
Q₃=31
Interquartile Range =Q₃-Q₁
=31-17
=14
Hence, The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.
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Ruby uses 7.2 pints of blue paint and white paint to paint her bedroom walls. 3/4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
1 4/5 or 1.8 pints are white
Step-by-step explanation:
1/4 of 7 1/5 = 1/4 x 36/5 = 36/20 or 9/5, which is 1 4/5
How do you solve X easily?
To solve x easily, shift the variables to one side, and shift all the other values including constants to the other side.
Solve for x means finding the value of x in an equation involving one variable that is x or with different variables like finding x in terms of y. Whatever the case is you are required to find the value of x, for which the given equation holds true.
For example, if the equation is given as: 2x - 50 = 4
Now solve the tjis equation for x by keeping the term with variable x to one side, and shifting all the other values such as constants to the other side.
now
2x = 4 + 50
2x = 54
x = 54/2
x= 27
This is the required value of x which is obtained after solving the equation for x.
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