Answer:
hi
Step-by-step explanation:
no
if a tv has a diagonal measurement of 55 and a height of 30, what is the tvs width? round to the nearest whole number
Answer:
46
Step-by-step explanation:
The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.
__
Pythagorean theoremThe relation between the leg lengths (a, b) and the hypotenuse (c) is ...
c² = a² +b²
Solving for b gives ...
b = √(c² -a²)
applicationIn this problem, we have c=55 and a=30. Then the width of the TV is ...
b = √(55² -30²) = √(3025 -900) = √2125
b ≈ 46.098
The width of the TV is about 46.
PLEASE HELP
A) 8
C) 1
B) 6
D) 7
What is the value of x?
Answer: 7
Step-by-step explanation:
As tangents drawn from a common external point to a circle are congruent,
8x - 7 = 6x + 72x - 7 = 7 [subtract 2x from both sides]2x = 14 [add 7 to both sides]x = 7 [divide both sides by 2]Answer:
Step-by-step explanation:
Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±10)
Therefore, the equation of the hyperbola with a given origin has vertices at (0, ±9) and foci at (0, ±10) is [tex]\frac{x^{2} }{81}-\frac{y^{2} }{19} =1[/tex].
Given, that a hyperbola centred at the origin has vertices at (0, ±9) and foci at (0, ±10).
What is hyperbola?In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.
The formula for a hyperbola centred at the origin is [tex]\frac{(x-h)^{2} }{a^{2} } -\frac{(y-k)^{2} }{b^{2} } =1[/tex]
Where (h, k) is the center = (0, 0)
Distance from centre to vertices a = 9 ⇒ a² = 81
Distance from centre to vertices which is given from the foci c = 10
⇒ c² = 100
Using the Pythagorean formula, c²= a²+ b²
Substituting the values 100 = 81 + b²
So we get, b²= 100 - 81 = 19
Substituting the values in the standard form [tex]\frac{x^{2} }{81}-\frac{y^{2} }{19} =1[/tex].
Therefore, the equation of the hyperbola with a given origin has vertices at (0, ±9) and foci at (0, ±10) is [tex]\frac{x^{2} }{81}-\frac{y^{2} }{19} =1[/tex].
To learn more about hyperbola visit:
brainly.com/question/27799190.
#SPJ1
We calculate the value of the hypotenuse of the right triangle whose legs measure 3 and 4cm respectively
Help please it's due today
[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]
Answer :- The result is 5cm
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\bf \red {c {}^{2} = a {}^{2} + b {}^{2}} }[/tex]
[tex] \: \: \: \: \: \: \boxed{ \bf \green{c {}^{2} = (3cm) {}^{2} + (4cm) {}^{2}}}[/tex]
[tex] \: \: \: \: \: \: \: \: \boxed{ \bf \gray{c {}^{2} = 9cm {}^{2} + 16cm {}^{2} }}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \blue {c {}^{2} = 25cm {}^{2} }}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \green{\not{\sqrt {c {}^{ \not{2} }}} = \sqrt{25cm {}^{2} }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \red{c = 5cm}}[/tex]
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: hypotenuse = 5 \:\:cm [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{Pythagoras Theorem } [/tex]
[tex]\qquad \tt \rightarrow \: h {}^{2} = p {}^{2} + b {}^{2} [/tex]
[ h = hypotenuse, p = perpendicular and b = base ]
[tex]\qquad \tt \rightarrow \: {h}^{2} = {3}^{2} + {4}^{2} [/tex]
[tex]\qquad \tt \rightarrow \: {h}^{2} = 9 + 16[/tex]
[tex]\qquad \tt \rightarrow \: h {}^{2} = 25[/tex]
[tex]\qquad \tt \rightarrow \: h = \sqrt{25} [/tex]
[tex]\qquad \tt \rightarrow \: h = 5 \: \: cm[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
3x-4y-5z=-27
5x+2y-2z=11
5x-4y+4z=-7
a. (1,5,51)
b. ( 10, 5, 51)
c. (10, 51, 23)
d. ( 1, 5, 2)
The value of x, y and z will be 1, 5 and 2 respectively
An augmented matrix in linear algebra is a matrix created by joining the columns of two supplied matrices, often so that the same basic row operations may be applied to each of the given matrices individually.
Lets write the augmented matrix by writing the coefficients of all the variables:
3 -4 -5 -27 Row 1
5 2 -2 11 Row 2
5 -4 4 -7 Row 3
We need to get
1 0 0
0 1 0
0 0 1
then the values of x, y, and z will be in the last column.
The row operation (R1=R1/3) is used to get the identity matrix.
1 -4/3 -5/3 -9 Row 1
5 2 -2 11 Row 2
5 -4 4 -7 Row 3
Add row 2 to row 1 and multiply by 5 (R2=R2(5)R1).
1 -4/3 -5/3 -9 Row 1
0 26/3 19/3 56 Row 2
5 -4 4 -7 Row 3
Add row 3 to row 1 and multiply by 5 (R3=R3(5)R1).
1 -4/3 -5/3 -9 Row 1
0 26/3 19/3 56 Row 2
0 8/3 37/3 38 Row 3
Multiply row 2 by 326 (R2=(3/26)R2)
1 -4/3 -5/3 -9 Row 1
0 1 19/26 84/13 Row 2
0 8/3 37/3 38 Row 3
Add row 2 multiplied by 4/3 to row 1 (R1=R1+(4/3)R2)
1 0 -9/13 -5/13 Row 1
0 1 19/26 84/13 Row 2
0 8/3 37/3 38 Row 3
Add row 3 to row 2 and multiply the result by 8/3 (R3=R3(8/3)R2).
1 0 -9/13 -5/13 Row 1
0 1 19/26 84/13 Row 2
0 0 135/13 270/13 Row 3
Multiply row 3 by 13/135 (R3=(13/135)R3)
1 0 -9/13 -5/13 Row 1
0 1 19/26 84/13 Row 2
0 0 1 2 Row 3
Add row 3 multiplied by 9/13 to row 1 (R1=R1+(9/13)R3)
1 0 0 1 Row 1
0 1 19/26 84/13 Row 2
0 0 1 2 Row 3
Row 2 is reduced by row 3 multiplied by 19/26 (R2=R2(19/26)R3).
1 0 0 1 Row 1
0 1 0 5 Row 2
0 0 1 2 Row 3
Hence the value of x, y and z will be 1, 5 and 2 respectively
Learn more about augmented matrix here:
https://brainly.com/question/12994814
#SPJ10
Mario was riding a bicycle with wheels 26 inches in diameter. During one minute of Mario’s ride, the wheels made exactly 200 revolutions. At what average speed, in feet per second, was Mario riding during that minute?
The correct answer is A.
Step - by - step answer:
Mario will travel a distance equal to 1 circumference of the wheel for each complete revolution of the wheel.
Circumference of Mario's wheel, C = πD, where D is the diameter of the circle.
Hence, C = 26π inches
Speed = Distance / Time
Distance for 200 revolutions in ft = 26π x 200 x 1/12
Time in sec = 60
So, speed = (26π x 200)/(12 x 60)
= 65π/9
=22.69 is the average speed.
P.s: Answer is copied from https://www.myactguide.com/math/mario-was-riding-a-bicycle-with-wheels-26-inches-in-diameter
A company pays $20 per hour for up to 7 hours of work, and $30 per hour for
overtime hours (hours beyond 7). If x is the total hours worked, and more
than 7 hours have been worked, what is the expression for just the overtime
hours worked?
Answer:
Step-by-step explanation:
current total of hours work earnings (7hrs): $140
total earnings: $980 per week
49 hours work per week (no overtime)
immagine you're working another 4 hours for overtime payment everyday:
current total of hours work earnings (11hrs): $280 including 4 hours overtime ($120)
total working hours: 77 hours per week
total earnings: $1,960 per week
The crime rate of a certain city is increasing by exactly 4% each year. If there were 350
crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2023.
Answer:
1277
Step-by-step explanation:
350 * (1.04)^33 =
1276.93338385
algebracom
theo(12211)
The sum of two numbers is 24
and their quotient is 3.
What are the two numbers?
i needs a help please
Answer:
Step-by-step explanation:
Givens
x intercept =
(1,0) (5,0)The vertex is at 3, 4
The vertex is upside down.
Solution
(x - 1) and (x - 5) produce the two roots.
There must be 1 minus somewhere so that the quadratic goes upside down.
Answer
y = - (x -1)(x - 5)
If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is
(-2, 4), (9,-5), (2, 6), what rotation was applied?
Answer: 90 degrees clockwise
This is equivalent to 270 degrees counterclockwise
The rule for either rotation is [tex](x,y) \to (y,-x)[/tex]
The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).
The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).
A local baseball stadium has a total of 2,497 seats, with 210 seats reserved for season ticket holders.
If x represents the number of non-reserved seat tickets sold for the upcoming game, which of the following equations can be used to find the number of seats available for the upcoming game?
y = 2,497 - 210x
B.
y = 2,287 - 210x
C.
y = 2,287 - x
D.
y = 2,497 - x
Answer:
I believe d would be the answer.
Step-by-step explanation:
Which expression can be used to convert 80 US to Australian dollars?
Answer:
0.9668 USD
Step-by-step explanation:
1 USD=1.0343 AUD 1AUD=0.9668 USD.
What's the circumference of a
circle with a radius of 7 feet?
Use 3.14 for .
C = [?] feet
Enter the number that belongs in the green
box. Do not round your answer.
Hint: C = 2πr
Answer:
43.96ft
Step-by-step explanation:
In the hint, you are given the equation [tex]C = 2\pi r[/tex].
Here, [tex]C[/tex] is the circumference, [tex]r[/tex] is the radius, and [tex]\pi[/tex] is a constant (a value that doesn't change). In this question, you are told to assume the value of [tex]\pi[/tex] is 3.14.
You are told the radius is 7, therefore, [tex]r[/tex] = 7.
Now we have these values, let's substitute them into the equation:
[tex]C = 2 * 3.14 *7[/tex]
For clarification, the stars mean multiplication.
So, the product of those values will give us our circumference, [tex]C[/tex].
In this case, you get an answer of 43.96ft.
Find the value of this expression if x = -7.
x² +5
x+1
Enter the correct answer.
You deposit $400 in an account earning 2% interest compounded annually. How much will you have in the account in 20 years?
Answer:
Approximately $594.38
Step-by-step explanation:
Use the formula: y = a(1 + r)^t
a is the initial amount
r is the percent of interest in decimal form
t is the time in years
y is the money after t years
Substitute the values given in the problem into the equation:
400(1+0.02)^20
Use a calculator or solve manually
Around 594.38
What is the scale factor of this dilation? Triangle A B C. Side A C is 8, C B is 10, A B is 6. Triangle A prime B prime C prime. Side A prime C prime is 4, C prime B prime is 5, B prime A prime is 3. One-fifth One-half 1 2
Answer:
0.5
Step-by-step explanation:
well you can just take one of the sides and in this case I'll use AC which originally is 8 and then in AC prime it's 4. You can simply divide the new length by the original length which is 4/8 or 0.5. So if you multiply any of the original side lengths by 0.5 you'll get the new side length.
Answer:
1/2
Step-by-step explanation:
edge 23
Where r is the radius of the cylinder and h is the height of the cylinder. Find the surface area when r is 3 inches and h
is 5 inches.
A. 48 in²
B. 80% in²
c. 112 in²
D. 50% in²
Answer:
48π
Step-by-step explanation:
→ State the formula for the surface area of a a cylinder
2π × r × h + 2π × r²
→ Substitute in the numbers
2π × 3 × 5 + 2π × 3²
→ Simplify
48π
Expand and simplify: (6a+2)(6a-5)-(7a-1)(a-2)
Answer:
29a² - 3a - 12
Step-by-step explanation:
Given expression:
(6a+2)(6a-5)-(7a-1)(a-2)
Solution:
Apply distributive property.
[tex] \rm=(6a)(6a)+(6a)(-5)+(2)(6a)+(2)(-5)-7a^2+15a-2[/tex]
[tex] \rm= 36a {}^{2} - 30a + 12a - 10 - 7a {}^{2} + 15a - 2[/tex]
Combine like terms:
[tex] \rm=(36a {}^{2} - 7a {}^{2} )+( - 30a+12a+15a)+( - 10 - 2)[/tex]
[tex] = \boxed{ \rm \: 29a {}^{2} - 3a - 12}[/tex]
Done!
Can someone answer this question for me? Thanks!
Answer:
The costco basmati rice
Step-by-step explanation:
Under the label it is given that the bag is 18.14 kg
When converted to lbs= 18.14*2.2~39.91
39.91lbs>10lbs, so it has more quantity of rice: Costco Basmati
Answer:
The Costco bag is a better deal as each pound is $0.65 cheaper
Step-by-step explanation:
Let make the weight of each bag in a common unit
18.14kg = about 40 pounds (formula: multiply the mass value by 2.205)
Now find how much it cost per pound for each bag,
Costco: 49.99 / 40 = $1.25 per pound
Bulkmarket: 18.99 / 10 = $1.90 per pound
1.25 < 1.90
how is -x^6+7x^5 considered a sixth degree binomial?
Answer:
Polynomial, 6. Constant. The highest value of the exponent in the expression is known as the Degree of Polynomial. The degree of a polynomial is the largest exponent. It is also known as an order of the polynomial. While finding the degree of the polynomial, the polynomial powers of the variables should be either in ascending or descending order.
Step-by-step explanation:
A term is defined as a part of an equation separated by a +/- operation. Because there is a + operation separating two terms (-x^6 and 7x^5), the expression is a binomial, meaning the expression has two terms.
The highest exponent or degree, present in the expression is to the power of 6. Therefore, the expression is in the sixth degree.
Taken together, the expression is a sixth-degree binomial.
The Bun-and-Run is a franchise fast-food restaurant located in the Northeast specializing in halfpound hamburgers, fish sandwiches, and chicken sandwiches. Soft drinks and French fries are
also available. The planning department of Bun-and-Run Inc. reports that the distribution of
daily sales for restaurants follows the normal distribution and that the population standard
deviation is $3,000. A sample of 40 showed the mean daily sales to be $20,000. Find the 95%
confidence interval for the population mean.
Answer:
franchise fast-food restaurant located in the Northeast specializing in halfpound hamburgers, fish sandwiches, and chicken sandwiches. Soft drinks and French fries are
also available. The planning department of Bun-and-Run Inc. reports that the distribution of
daily sales for restaurants follows the normal distribution and that the population standard
deviation is $3,000. A sample of 40 showed the mean daily sales to be $20,000. Find the 95%
confidence interval for the population mean.
what is the fourth term in the binomial expansion (a+b)^6)
Answer:
[tex]20a^3b^3[/tex]
Step-by-step explanation:
Binomial Series
[tex](a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n[/tex]
Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.
Example: 4! = 4 × 3 × 2 × 1
Therefore, the fourth term in the binomial expansion (a + b)⁶ is:
[tex]\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3[/tex]
[tex]\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3[/tex]
[tex]\implies \dfrac{6!}{3!3!}a^{3}b^3[/tex]
[tex]\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3[/tex]
[tex]\implies \left(\dfrac{120}{6}\right)a^{3}b^3[/tex]
[tex]\implies 20a^3b^3[/tex]
Find the monthly house payment necessary to amortize the following loan. In order to purchase a home, a family borrows $110,000 at 2.9% for 30 yrs. What is their monthly payment? Round the answer to the nearest cent.
The monthly payment for purchasing the home will be $457.85.
What is a monthly payment?The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.
Then the formula of monthly payment (MP) will be
[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]
In order to purchase a home, a family borrows $110,000 at 2.9% for 30 years.
We have
P = $110,000
r = 0.029 / 12 = 0.0024
n = 30 × 12 = 360
Then the monthly payment will be
[tex]\rm MP = 110,000\times \dfrac{0.0024(1+0.0024)^{360}}{(1+0.0024)^{360} - 1}\\\\[/tex]
On further solving, we have
MP = 110000 × 0.0024 × 1.723
MP = $ 457.85
More about the monthly payment link is given below.
https://brainly.com/question/14064255
#SPJ1
If a sample of 40 cars is selected, estimate the number of cars
traveling faster than 70 mph.
Answer:
20ish
Step-by-step explanation:
I would need more info abt the question to answer it more exactly
Answer:
Im pretty sure is is 20 or something like that
Step-by-step explanation:
Out of 220 racers who started the marathon, 203 completed the race, 12 gave up, and 5 were disqualified. What percentage did not complete the marathon?
Jessica received a $70 gift card for a coffee store. She used it in buying some coffee that cost $7.26 per pound. After buying the coffee, she had $48.22 left on her card. How many pounds of coffee did she buy?
At the end of 2 years, P dollars invested at an interest rate r compounded annually increases to an amount, A dollars, given by the following formula. Upper A equals Upper P (1 plus r )squared Find the interest rate if $32 increased to $50 in 2 years. Write your answer as a percent.
The interest rate will be equal to 24% in 2 years.
What is compound interest?Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that:-
Find the interest rate if $32 increased to $50 in 2 years.The interest rate will be calculated by using the following formula:-
[tex]A = P[1+\dfrac{r}{n}]^{nt}[/tex]
[tex]50=32[1+\dfrac{r}{1}]^{2}[/tex]
[tex]\dfrac{50}{32}=(1+r)^2[/tex]
1.56 = ( 1 + r )²
√1.56 = ( 1 + r )
r = 1.24 - 1
r = 0.24
r = 24%
Therefore interest rate will be equal to 24% in 2 years.
To know more about Compound interest follow
https://brainly.com/question/24924853
#SPJ1
A new building is formed by a square prism with a square pyramid on top. The base has an edge length of 60 feet, and the height of the prism is 150 feet. The height of the pyramid is one-sixth the height of the prism. What is the surface area of the exterior of the building rounded to the nearest hundred square feet?
The surface area of the exterior of the building rounded to the nearest hundred square feet is 40700 feet².
What is surface area ?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given, base of prism = 60 feet, height of the prism h₁= 150 feet, and height of the pyramid h₂ = 1/6 (150)
= 25 feet.
The surface area of the exterior of the building = lateral surface area of prism + pyramid.
SA = ( 4ah₁ ) +(a√(a² + 4h₂²) )
SA = ( 4(60)150 ) + ( 60(√60² + 4(25)² )
= ( 240* 150 ) + 60(√3600 +2500 )
= 36000 + 60(√6100)
= 36000 + 60(78.1024)
= 36000 + 4686.15
= 40686.15
≈ 40700 feet².
Therefore, the surface area of the exterior of the building rounded to the nearest hundred square feet is 40700 feet².
Know more about lateral surface area here:
https://brainly.com/question/27847638
#SPJ1
Answer:
The surface area of the exterior of the building is approximately 40700 feet
Ax^2+bx+c=2(x-1)(2x+3)+(x^2-4x+2)
The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.
How do we determine the quadratic equation (ax^2+bx+c) from a given set of factors?The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:
a + (b + c) = a + b + cLet us expand the eqaution: 2(x-1) (2x+3)
Ax^2+bx+c = 2(x-1) (2x+3) + x^2-4x+2So, we have:
2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.
= 4x² + 2x - 6 + x² - 4x + 2
Now, let us group like terms, we have:
= 4x² + x² + 2x - 4x - 6 + 2
= 5x² - 2x - 4
Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.
Learn more about quadratic equations here:
https://brainly.com/question/25841119
#SPJ1
