The height of the TV for the condition is 17.96 inches.
What is Pythagoras' theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the diagonal of the TV = 26 inches
width of screen = 18.8 inches
let the shape of TV be rectangular
so diagonal divide the rectangle in right triangles,
by Pythagoras' theorem we can find the height,
h² = b² + h²
h = hypotenuse = diagonal for given = 26 inches
b = base = width = 18.8 inches
h = height
(26)² = (18.8)² + h²
h² = 676 - 353.44
h = √322.56
h = 17.96 inches
Hence the height of TV is 17.96 inches.
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Savings account A has 1500 and pays 3.5% interest yearly. Savings account B has 1400 and pays 4% interest yearly. the savings account that earned the most interest after one year is savings account.
Savings Account B earned the most interest after one year.
Explanation:To determine which savings account earned the most interest after one year, we can calculate the interest earned by each account using the formula:
Interest = Principal x Rate
For Account A: Interest = 1500 x 0.035 = $52.50
For Account B: Interest = 1400 x 0.04 = $56.00
Therefore, Account B earned more interest after one year, with a total of $56.00.
Which regular polygon would have each of its interior angles measure 120°? hexagon heptagon octagon nonagon?
which undefined geometric term is described as a two dimensional set of points that has no beginning or end
Find f(-7) if f(x) = 2x + 8.
Gary number has 6 in thousands and a7 in hundred and a 5 in ones. when rounded to the nearest ten, the number is 6760. what is gary's number
What are the zeros of f(x) = x(x – 8)?
A. x = 0 and x = 8
B. x = 0 and x = –8
C. x = 0 only
D. x = 8 only
The zeros of the function f(x) = x(x – 8) are x = 0 and x = 8, which correspond to each factor of the equation being set equal to zero. Therefore, the correct answer is option A.
To identify the zeros of the function f(x) = x(x – 8), we should solve for x when f(x) is set to zero. Setting the function equal to zero gives us the equation 0 = x(x – 8).
We can find the zeros by looking for the values of x that make each factor in the equation equal to zero. The first factor is x, and it is equal to zero when x = 0. The second factor is (x – 8), which is equal to zero when x = 8.
Therefore, the zeros of the function f(x) are x = 0 and x = 8.
Selection A is the correct answer: The zeros of the function x(x – 8) are x = 0 and x = 8.
Plz Help
A survey asked males and females to watch two commercials and select the one they liked best. The results of the survey are shown in the two-way frequency table.
Commercial A Commercial B
Males 0.28 0.14
Females 0.33 0.25
What percent of the respondents were female?
Answer: There is 58% of female respondents.
Step-by-step explanation:
Commercial A Commercial B Total
Males 0.28 0.14 0.42
Females 0.33 0.25 0.58
Total 0.61 0.39 1.00
So, Percentage of the respondents were females is given by
[tex]\dfrac{0.58}{1}\times 100\\\\=58\%[/tex]
Hence, there is 58% of female respondents.
The larger square garden at Volterra Hall has sides twice as long as the smaller square garden. Together the gardens cover 18,000 square feet. Find the dimensions of each garden.
HELPPPPPPPPP and explain why
Juan makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours
Juan's total pay p after working h hours is calculated using the equation p = 8h. This represents a direct relationship between hours worked and total earnings.
To represent Juan's total pay p after working h hours at a rate of 8 dollars per hour, we use the equation p = 8h. This equation shows that the total pay (p) is equal to the rate of pay per hour (8 dollars) multiplied by the number of hours worked (h).
For example, if Juan works for 8 hours a day, his total pay would be calculated as p = 8 * 8, which equals $64. If we consider a full day of work to be 8 hours producing a value of $160, we can see that Juan is being paid for only half the hours at that rate, since 8 hours' labor would have a value of $80 at his rate of pay.
) a quiz consists of 10 true or false questions. to pass the quiz a student must answer at least 7 questions correctly. if the student makes a random selection on each question, what is the probability that the student will pass the quiz? [ you may use distr key. show the command that was typed in to your calculator.]
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given that A=43 degrees , B=82 degrees and c=28, solve triangle ABC. Round to the nearest hundredth. A) C= 93 degrees , b= 33.8 , a= 23.3 B) C= 55 degrees , b= 33.8 , a= 23.3 C) C= 55 degrees , b= 23.3 , a= 33.8 D) C= 93 degrees , b= 23.3 , a= 33.8
A circle has the equation (x-2)^2+y^2=5. Whay are the coordinates of the circles center?
Answer:
(2,0)
Step-by-step explanation:
Following the circle formula: [tex](x-h)^2 + (y-k)=r^2[/tex], we can deduce the values of Point(h,k).
The point is (2,0).
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explain how you would create and use a spinner to simulate the probability of an event
To simulate the probability in a spinner divide the spinner into colors depending on the probability each color represents.
What does the word "probability" mean?This word refers to the likelihood for an event to occur. Moreover, it is often expressed either as a fraction, a percentage, or a number.
In this case, each of the colors represents a probability:
Green 20%
Blue 1/4 or 25%
Yellow 2/5 or 40%
Orange 15%
Now, Due to this, the best is to divide the spinner by colors and considering the percentages of each color.
Hence, For example 40% of the spinner should be red, while 15% should be orange.
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complete question;Explain how you would create and use a spinner to simulate the probability of an event with the following probabilities:
Percent chance: 20% green, ¼ blue, ⅖ yellow, and 15% orange
a newspaper carrier earns a fixed amount for each newspaper he delivers, and yesterday his average hourly wage was 7.50 an hour. If he worked 4 hours yesterday and delivered 120 newspapers, how much does he earn for each newspaper delivered?
A box without a top is to be made from a 30 cm by 30 cm rectangular piece of cardboard by cutting out square corners with a side length of x and then folding up and taping the sides.
What is the maximum possible volume of the box?
What value of x maximizes the volume of the box?
My answer for this question is Graph D, but it looks like Graph B could also be a candidate. B and D both show decreasing graphs, and I've chosen D simply because it "looks" like it is decreasing faster. At x = 0, the slope of Graph D is less than that of Graph B. I am guessing that Graph B shows a parabola whereas Graph D shows something exponential (i.e. with an increasing rate)?
Express the fraction in simplest form.
9/12
a.2/3
b.3/4
c.12/16
d.10/13
Solve the following equation. Show all your work.
Start Fraction x over x minus 2 End Fraction plus Start Fraction x minus 1 over x plus 1 End Fraction equals negative 1
someone...please..god..
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $10, and each wrench costs $6. If the solution region represents the number of hammers and wrenches that Brody can buy given his budget, determine which graph represents the solution set to the system of inequalities representing this situation.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of hammers
y------> the number of of wrenches
we know that
[tex]10x+6y\leq 120[/tex] -----> inequality A
[tex]x+y\geq 14[/tex] -----> inequality B
using a graphing tool
The solution of the system of inequalities is the shaded area
see the attached figure
if a crate contains 25,500 oz of rice , about how many kg does it contains ? 1 pound equals 16 oz & 1 pound equals 0.454 kg
351 kg
724 kg
25500 kg
185000 kg
To find the mass of 25,500 ounces of rice in kilograms, one needs to convert ounces to pounds, then pounds to kilograms. After the conversions, the crate contains approximately 724 kg of rice.
Explanation:To calculate the mass of 25,500 ounces of rice in kilograms, we first convert ounces to pounds and then pounds to kilograms using the conversion rates provided.
First, we need to find out how many pounds are equivalent to 25,500 ounces. We use the proportion 1 pound = 16 ounces.Divide the total number of ounces by 16 to find the number of pounds:Now, we'll convert pounds to kilograms: 1 pound = 0.454 kg.Multiply the number of pounds by the kilogram equivalent:When we round this number to the nearest whole number, we get 724 kg, which is the approximate mass of the rice in the crate.
Change -40° to radians.
A). 2π/9
B). -2π/9
C). 4π/9
D). -4π/9
A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.
Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
[tex]V = \frac{1}{3} \pi r^2h[/tex] ....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use [tex]\pi = 3.14[/tex] in [1] we have;
[tex]105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h[/tex]
Multiply both sides by 3 we have;
⇒[tex]315 = 78.5 \cdot h[/tex]
Divide both sides by 78.5 we have;
[tex]4.01273885 = h[/tex]
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
The height of the cone is 4 units.
What is the volume of a cone?The volume of the cone is equal to;
[tex]\rm Volume \ of \ cone=\dfrac{1}{3} \times b \times h[/tex]
Where; B is the area of the circular base of the cone, and h is the height of the cone.
The base of the cone is given by;
[tex]\rm Base=\pi r^2[/tex]
Substitute all the values in the equation
[tex]\rm Volume \ of \ cone=\dfrac{1}{3} \times b \times h\\\\Volume \ of \ cone=\dfrac{1}{3} \times \pi r^2\times h \\\\ 105=\dfrac{1}{3} \times 3.14 \times 5^2\times h\\\\h = \dfrac{105\times 3}{25 \times 3.14}\\\\h=64[/tex]
Hence, the height of the cone is 4 units.
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What values of x makes the inequality true? 2(x−4)−9x≤-4x+13
Answer : x >= -7
On simplifying,
2x - 8 - 9x <= -4x + 13
-7x - 8 <= -4x + 13
-3x - 8 < = 13
-3x <= 21
x >= -7
What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?
The quotient when [tex](x^3-3x^2+3x-2)\div(x^2-x+1)[/tex] is [tex](x-2)[/tex].
Given :
Equation -
[tex]\dfrac{x^3-3x^2+3x-2}{x^2-x+1}[/tex]
Solution :
[tex]\dfrac{x^3-3x^2+3x-2}{x^2-x+1} = \dfrac{x^3-2x^2-x^2+2x+x-2}{x^2-x+1}[/tex]
[tex]= \dfrac{(x^2(x-2)-x(x-2)+1(x-2))}{x^2-x+1}[/tex] ------ (1)
Now taking (x - 2) common from numerator in equation (1) we get,
[tex]= \dfrac{(x-2)(x^2-x+1)}{x^2-x+1}[/tex]
[tex]=(x-2)[/tex]
Therefore the quotient when [tex](x^3-3x^2+3x-2)\div(x^2-x+1)[/tex] is [tex](x-2)[/tex].
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How would you solve the area
Dylan opened a credit card account with $675.00 of available credit. Now that he has made some purchases, Dylan's account only has $384.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
algebra mid-unit review quiz Unit 3 lesson 5
1. simplify the rational expression; 2m^2 - 72/ m - 6.
A. 2 ( m+6)
B. 2
C. 2 ( m-6)
D. m + 12
2. simplify the rational expression; -8z^2/ z^4 - z^2.
A. -8z
B. -8
C. -8/ z^2
D. -8/ z^2 - 1
3. simplify the rational expression; 6x-54/ 7x-63.
A. - 6/7
B. 6/7
C. 6(x-9)/ 7
D. 6/ 7 (x-9)
The solutions to the problems in the mid-unit review quiz for Algebra Unit 3 Lesson 5 are A(2(m+6)), D(-8/(z^2-1)), and B(6/7). These are found by factoring out common factors and simplifying the expressions.
Explanation:Let's solve the algebra mid-unit review quiz Unit 3 lesson 5 one by one.
To simplify the rational expression 2m^2 - 72/ m - 6, first factor out a 2 from the numerator to obtain 2(m^2 - 36). This can be further broken down as 2(m - 6)(m + 6). Given the denominator is (m - 6), we cancel out (m - 6) from both the numerator and denominator to get the answer as 2(m+6) hence option A is correct.To simplify the rational expression -8z^2/ z^4 - z^2, first take out -8z^2 from the numerator to get -8*z^2/z^2*(z^2 - 1). On simplifying, we are left with -8/(z^2-1), i.e. option D is correct. To simplify the rational expression 6x-54/ 7x-63, we factor out a 6 from the numerator and a 7 from the denominator. This gives us 6(x - 9)/7(x - 9). By cancelling out the common factor, (x - 9), we get 6/7, i.e., option B is correct.Learn more about Algebra simplification here:
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find the equation that goes through points (18,3) and (21,1) find slope and y-intercept