Final answer:
To reach a height of 8 feet on the wall, Benton would need to use a ladder length of approximately 4.8 feet.
Explanation:
To determine which ladder length Benton would need to use to reach the desired height of 8 feet on the wall, we can use the concept of similar triangles. The distance from the base of the ladder to the wall is 6 feet and the height Benton wants to reach on the wall is 8 feet. Let x represent the length of the ladder needed. Using the properties of similar triangles, we can set up the following proportion:
(x)/(6) = (8)/(10)
Cross multiplying gives us:
x = (6 * 8) / 10 = 4.8
Therefore, Benton would need to use a ladder length of approximately 4.8 feet to reach a height of 8 feet on the wall. Since this length is not among the options provided, the correct answer is C. None of these ladder lengths would reach this height.
Rewrite 11/15 as a decimal number. Round to the nearest thousandth. 1.363 1.364 0.733 0.734
Find the secant of both angle A and angle B.
A. sec A = 13/5; sec B = 13/12
B. sec A = 13/12; sec B = 13/5
C. sec A = 12/13; sec B = 5/13
D. sec A = 24/10; sec B = 10/24
The secant of angle A is 13/5 and the secant of angle B is 13/12. Option A is correct.
Explanation:To find the secant of angle A and angle B, we need to use the reciprocal function of cosine which is secant. The secant of an angle is equal to the reciprocal of the cosine of that angle.
So, if sec A = 13/5, it means that the cosine of angle A is equal to 5/13. Similarly, if sec B = 13/12, it means that the cosine of angle B is equal to 12/13.
at the flower shop, there are 5 times as many roses as sunflowers. if there are 252 roses and sunflowers altogether, how many roses are there? how many sunflowers are there?
How do you number 3 and can you explain everything for detail please
Suppose that a "code" consists of 4 digits, none of which are repeated. (a digit is one of the 10 numbers 0,1,2,3,4,5,6,7,8,9) how many codes are possible?
pens cost 20p each and pencils cost 12p each
if I want to buy 6 pens and 5 pencils
what will be the total ?
i don't know the answer can you help me
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.If no money was deposited into or withdrawn from the account, how much money was in the account after 3 years?Round your answer to the nearest cent.Enter your answer in the box.$
the expression 13x+5 represents the number of marbles you have after purchasing 13 bags of marbles. a. what does the term 13x represent b. what does 5 represent c. what does x represent
In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusive. Find the probability that a ticket holder has the indicated winning ticket. (Put your answer to three decimal places.)
Three digits in exact order.
Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.)
(1)-(1/6)+(1/36)-(1/216)+... ...?
help plz asap the question in the picture
What percent of 88 is 72.6? ...?
72.6 is 82.5 percent of 88. To find what percent 72.6 is of 88, divide 72.6 by 88 and then multiply by 100%. This gives you 82.5%, which means 72.6 is 82.5 percent of 88.
Explanation:To find what percent 72.6 is of 88, you can use the formula:
Percentage = (Part / Whole) × 100%
In this case, the 'Part' is 72.6 and the 'Whole' is 88. Plugging these numbers into the formula:
Percentage = (72.6 / 88) × 100%
Percentage = 0.825 × 100%
Percentage = 82.5%
So, 72.6 is 82.5 percent of 88.
Find three ratios equivalent to the ratio 3 to 4
I feel like I am asking so my questions but I dont really care its a Sunday xD
Solve:
-2x - 1 + 3x =7
Answer: x = 8
−2x − 1 + 3x =7
−2x + −1 + 3x =7
(−2x+3x) + (−1) =7 (Combine Like Terms)
x+ −1 =7
x−1=7
Step 2: Add 1 to both sides.
x−1+1=7+1
x=8
At how many points does the graph of the function below intersect the x-axis?
y = 2x2 - 3x + 1
A.2
B.1
C.0
Use the graph below for this question:
graph of parabola going through negative 1, 7 and negative 3, 9.
What is the average rate of change from x = −1 to x = −3?
5
−3
1
−1
Answer:
The correct option is 4. The average rate of change from x = −1 to x = −3 is -1.
Step-by-step explanation:
It is given that the graph of parabola going through (-1,7) and (-3,9).
It means the value of at x=-1 is 7.
[tex]f(-1)=7[/tex]
The value of at x=-3 is 9.
[tex]f(-3)=9[/tex]
The slope of a function f(x) for the interval [a,b] is
[tex]m=\frac{f(b)-f(a)}{b-a}[/tex]
We have to find the average rate of change from x = −1 to x = −3. Here a=-1 and b=-3. So the average rate of change from x = −1 to x = −3 is
[tex]m=\frac{f(-3)-f(-1)}{-3-(-1)}[/tex]
[tex]m=\frac{9-7}{-3+1}[/tex]
[tex]m=\frac{2}{-2}[/tex]
[tex]m=-1[/tex]
The average rate of change from x = −1 to x = −3 is -1. Therefore the correct option is 4.
{(3,2), (-6,2), (7,3), (8,4)}
What is the range of this function?
A) {2, 3, 4}
B) {7, 3, 8, 4}
C) {3, -6, 7, 8}
D) {3, 2, -6, 2}
Joel earns $1,500 per month. If he spends $375 on rent each month, what percent of his income does he spend on rent? A. 20% B. 40% C. 331/3% D. 25%
Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?
we have
[tex] y = -6x^{2} + 3x + 2 [/tex]
we know that
the vertex form of the vertical parabola equation is equal to
[tex] y=a(x-h)^{2} +k [/tex]
where
(h,k) is the vertex of the parabola
To find the equation rewritten in vertex form let's factor the equation
Factor the leading coefficient
[tex] y = -6(x^{2} - 0.5x) + 2 [/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side
[tex] y = -6(x^{2} - 0.5x+0.0625-0.0625) + 2 [/tex]
[tex] y = -6(x^{2} - 0.5x+0.0625) + 2 +0.375 [/tex]
[tex] y = -6(x^{2} - 0.5x+0.0625) + 2.375 [/tex]
Rewrite as perfect squares
[tex] y = -6(x-0.25)^{2} + 2.375 [/tex]
therefore
the answer is
[tex] y = -6(x-0.25)^{2} + 2.375 [/tex]
What is 50/100 in its simplest form as a fraction?
Answer: 1/2
Step-by-step explanation: 1/2 bc 50 and 50 is like 1/2 and 1/2
Hope this helped ya! :}
Edit: js realized this was 7 years ago-
Is this function linear or nonlinear? y=1x
The degree of the function is one. Then function y = x will be a linear function.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
If the degree of the equation is one. Then the function will be a linear function.
The function is given below.
y = 1x
y = x
The power of the variables 'x' and 'y' will be one. Then the function is a linear equation.
The degree of the function is one. Then function y = x will be a linear function.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ3
What percent us 28 of 70?
If 7 is added to the square of a postitive integer, the result is 43. Find the positive integer.
In a circle, a 90 degree sector has area of 64pi ftsqd. what is the radius of the circle? ...?
Answer:
16
Step-by-step explanation:
which of the numbers listed below are solutions to the equation?
Check all that apply.
x^2 = 7
A. None of these.
B. square root of 7
C. 49
D. 14
E. negative sqr root of seven
F. -49
The solution for the given equation is square root of 7. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x²=7.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
For the given equation x²=7, square root on both the sides.
That is, x=±√7
Therefore, the solution of the equation is x=±√7.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Metrics are based on the british system of weights and measures. true false
Answer: it is false :)
How to graph x>4 on the number line
2280÷60 how to work it out
The length of a rectangle is 6 yards longer than its width. If the perimeter of the rectangle is 32 yd, find its area in square yards.
First, find the width by using the perimeter formula for a rectangle, solve the equation, and then calculate the length by adding 6 yards. With both widths, calculate the area. The rectangle's area is 55 square yards.
Explanation:To solve for the area of the rectangle, we must find its length and width first. The given condition is that the length is 6 yards longer than the width. If we denote the width as w yards, then the length would be w + 6 yards.
Since the perimeter is the sum of all sides, for a rectangle, it can be calculated by the formula P = 2l + 2w, where P is the perimeter, l is the length and w is the width. Substituting the given perimeter (32 yd) and the expressions for length and width, we have:
32 yd = 2(w + 6 yd) + 2w32 yd = 2w + 12 yd + 2w32 yd = 4w + 12 yd32 yd - 12 yd = 4w20 yd = 4ww = 5 yd (width)l = w + 6 yd = 5 yd + 6 yd = 11 yd (length)Now that we have both dimensions, the area of the rectangle can be calculated using the formula A = l × w. Substituting the found values:
Area = 11 yd × 5 yd = 55 yd²
Therefore, the area of the rectangle is 55 square yards.
what is 34 47+4788×63÷799-69°08 (839+578)=