Answer:
x= 8 inches
Step-by-step explanation:
you left out the other lengths but since i had this same question once, the other lengths are 12 and 2-
dimensions of the box:
12 in x 2 in x ?
=272 square inches
and we know that there are 6 faces
area= 2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)
area = 272 sq. in. = 48 + 4x + 24x
272 = 48 + 28x
272 - 48 = 28x
224 = 28x
x = 8 inches
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
A 26 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 10 ft from the wall and sliding away from the wall at the rate of 3 ft/sec?
Answer:
The top of the ladder is sliding down at a rate of -1.25 ft/s.
Step-by-step explanation:
From the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2[/tex]
(Where a is the height, b is the distance between the bottom of the ladder and the wall, and c is the length of the ladder itself.)
Note that the hypotenuse c is a constant value at 26 feet. Substitute:
[tex]\displaystyle a^2 + b^2 = (26\text{ ft})^2 = 676 \text{ ft}^2[/tex]
We want to determine how fast the top of the ladder is sliding down the wall at the instant of time when the bottom of the ladder is 10 feet from the wall and sliding away from the wall at the rate of 3 ft/s.
In other words, we want to find da/dt given that b = 10 ft, and db/dt = 3 ft/s.
First, we can differentiate both sides with respect to t, where a and b are both functions of t:
[tex]\displaystyle \frac{d}{dt}\left[ a^2 + b^2\right ] = \frac{d}{dt}\left [ 676 \text{ feet}^2\right ][/tex]
Implicit differentiation yields:
[tex]\displaystyle 2a \frac{da}{dt} + 2b \frac{db}{dt} = 0[/tex]
Next, since we know that b = 10 ft, we can find a:
[tex]\displaystyle \begin{aligned} a^2 + b^2 & = 676\text{ ft}^2 \\ \\ a^2 +(10 \text{ ft})^2 & = 676\text{ ft}^2 \\ \\ a & = 24\text{ ft} \end{aligned}[/tex]
Substitute and solve for da/dt:
[tex]\displaystyle \begin{aligned} 2a \frac{da}{dt} + 2b\frac{db}{dt} & = 0 \\ \\ 2(24 \text{ ft}) \frac{da}{dt} + 2(10 \text{ ft})(3 \text{ ft/s}) & = 0 \\ \\ 48 \text{ ft} \cdot \frac{da}{dt} & = -60 \text{ ft$^2$/s} \\ \\ \frac{da}{dt} & = -1.25 \text{ ft/s} \end{aligned}[/tex]
Since the ladder is sliding down the wall, da/dt is expected to be negative.
In conclusion, the top of the ladder is sliding down at a rate of -1.25 ft/s.
if a+b=6 and ab=9 find the value of a3+b2
somone plz help me will make brainlest if is right
9514 1404 393
Answer:
y = 1/5
Step-by-step explanation:
Divide both sides of the equation by the coefficient of the variable.
7 = 35y
7/35 = (35y/35)
1/5 = 1y
y = 1/5
_____
A number divided by itself is 1. A number multiplied by 1 is unchanged.
To get from 35y to 1y, or y, divide by 35. That gives you (35/35)y = 1y = y.
Whatever you do to one side of the equation must also be done to the other side. Dividing 7 by 35 gives 7/35 = (7/7)×(1/5) = 1/5.
I will mark brainliest for the right answer with a description that helps me on how to actually solve this please
Answer:
$126
Step-by-step explanation:
I divided the figure in 3 parts, 1 triangle and 2 rectangles
found the area of each figure and added all to find the total area
what's the square of 5
Answer :
square of 5 is 25 .
X/4=-5/20
Algebra
Solve for x
Answer:
Algebra =
X/4 = -5/20
Simplify :
X/4 = -1/4
Of course, Will same x/4 = -1/4
Answer : X = -1x = -1
Step-by-step explanation:
[tex]\begin{aligned}\tt\frac{x}{4}&=\tt\frac{-5}{20}\\\tt 20x&=\tt -5\times 4\\\tt 20x&=\tt -20\\\tt x&=\tt -1\end{aligned}[/tex]
Please hurry 15 points
Answer:
pretty sure its A
Step-by-step explanation:
A is the only one with the line going threw -1 and 5
Answer: its A just got done with it
A line is drawn so that it passes through the points (-5,0) and (12,7). What is the slope of the line?
Answer:
7/17
Step-by-step explanation:
SOMEONE HELP PLZ 20 POINTS
JUST NEED HELP IN THE LAST 4
Answer:
the last one is
four cubed plus 8 to the 4th power
4^3 + 8^4
4160
Step-by-step explanation:
Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54
Answer:
[tex]54[/tex]
Step-by-step explanation:
[tex] a_1 {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 18 \times 3 \\ = 54[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
-3x-2=13
please show steps on how to do
Answer:
x=-5
Step-by-step explanation:
-5*-3=15
15-2=13
Hope it helps
Answer:
x = -5
Step-by-step explanation:
-3x-2=13
Add 2 to both sides of the equation
-3x-2+2=13+2
Simplify
-3x=15
Divide both sides of the equation by the same term
[tex]\frac{-3x}{3} =\frac{15}{-3}[/tex]
Simplify
x = -5
5. What number is in the ones place of a product of 10 and
another number? Explain.
A product of 10 has a number in one's position, and another figure will be 0.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The one number is 10.
And let the other number of two digits will be xy.
Then the product of 10 and another number will be
10 × xy = xy0
The number at ones place when the product of 10 and another number will be 0.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
A principal of $2400 is invested at 7.25% Interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
Step-by-step explanation:
70000
Sydney is 5 feet and 1 inch tall. What would her height be in centimeters?
24.015 centimeters
62.54 centimeters
154.94 centimeters
155.448 centimeters
Answer:
Sydney will be 154.94cm
Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y) --> (x - 3, y + 4) to move points on the screen. ( Look at the picture to answer options A,B,C and show your work. If correct I'll Mark Brainliest.
Answer:
your answer is c
Step-by-step explanation:
pick
a
b
c
d .........................................................
Answer:
B
Step-by-step explanation:
Im pretty sure it's B X is going by 4's 4,8,12 then y is going by 12
Solve 2 s^3 − 4r^ 2 if r = 1 and s = 5 . step by step
Answer:
246
Step-by-step explanation:
2(5)^3 - 4(1)^2
250 - 4
246
A tennis player hits a ball hard and 0.4 s later hears the echo sound from a wall. The speed of sound in air is 330 ms. How
?far away is the player from the wall
The distance traveled by the echo is used to determine the player's distance from the wall
The player's distance from the wall is 66 m.
Reason:
Known parameter;
The time after which the tennis player hears the echo of the ball, t = 0.4 s
The speed of sound in air, v = 330 m/s
The distance of the player from the wall = Required
Solution:
Let d, represent the distance of the player from the wall
An echo is the reflection the wave of the sound of hitting the ball that
travels to the wall and back
The distance traveled by the sound to the wall, d, and back, (d again), is 2·d
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Therefore;
[tex]The \ speed \ of \ the \ sound,\ v = \dfrac{2 \cdot d}{t}[/tex]Therefore;
[tex]330 = \dfrac{2 \cdot d}{0.4}[/tex]
330 × 0.4 = 2·d
[tex]d = \dfrac{330 \times 0.4}{2} = 66[/tex]
The distance of the player from the wall, d = 66 mLearn more here:
https://brainly.com/question/14754705
Find the standard deviation of the given data rounded to the nearest hundredth.3, 4, 5, 7, 10, 12, 15
Answer:
4.140393356
Step-by-step explanation:
Mean = (3+4+5+7+10+12+15) / 7 = 8
Count = 7 numbers
Sum of the numbers = 56
Each number minus the mean =
(3-8=-5)(4-8=-4)(5-8=-3)(7-8=-1)(10-8=2)(12-8=4)(15-8=7)
Now square of each of these numbers:
25+16+9+1+4+16+49 = 120
Variance = 120/7 = 17.14285714
Standard deviation = square root of the variance
Sqrt 17.14285714 = 4.140393356
*This problem is all about Multiplication Comparison*
How long is Pine Street?
Answer:
7
Step-by-step explanation:
Pine Street in x miles long.
Maple street is 3 times as long as Pine Street, so Maple street is 3x miles long.
Maple street is 21 miles long.
3x = 21
x = 7
Maple Street is 7 miles long.
54 in. to 5ft write a ratio and fraction needs to be in lowest terms
Answer:
Step-by-step explanation:
54/5=10 4/5
1 gallon can of paint for $13.99 and 5 gallon bucket of paint for $67.45. Which one is cheaper
Answer:
the 5 gallon
67.45 ÷ 5= $13.49
Shaniqua is taking a test. After 20 minutes she has 35 questions left. After 40 minutes she has 15 questions left. If Shaniqua takes the same amount of time for each question how many questions are on the test
There were 55 questions in the test.
Answer:
55
Step-by-step explanation:
22.2 inches times 45 inches equals how many ft
Answer:
9990 is the right answer
a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?
It currently takes users a mean of 25 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 25 minutes so that they can change their advertising accordingly. A simple random sample of 51 new customers are asked to time how long it takes for them to install the software. The sample mean is 26.2 minutes with a variance of 16 minutes. Perform a hypothesis test at the 0.01 level of significance to see if the mean installation time has changed. What kind of problem is this
Testing the hypothesis in this problem which is a two-tailed test, we can conclude that there is not sufficient evidence to conclude that the mean time of installation has changed, since the p-value of the test is 0.0364 > 0.01,
At the null hypothesis, we test if the mean is of 25 minutes, that is:
[tex]H_0: \mu = 25[/tex]
At the alternative hypothesis, we test if the mean has changed, that is, if it is different than 25 minutes.
[tex]H_1: \mu \neq 25[/tex]
We have the standard deviation for the sample, thus, the t-distribution is used. The value of the test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which:
X is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem:
25 is tested at the null hypothesis, thus [tex]\mu = 25[/tex].Sample mean of 26.2 minutes, thus [tex]X = 26.2[/tex].Sample of 51, thus [tex]n = 51[/tex].Variance of 16, thus [tex]s = \sqrt{16} = 4[/tex].The value of the test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{26.2 - 25}{\frac{4}{\sqrt{51}}}[/tex]
[tex]t = 2.14[/tex]
The p-value of the test is found using a two-tailed test(test if the mean is different of a value), with t = 2.14 and 50 degrees of freedom.Using a t-distribution calculator, this p-value is of 0.0364.Since the p-value of the test is 0.0364 > 0.01, there is not sufficient evidence to conclude that the mean time of installation has changed.
A similar problem is given at https://brainly.com/question/23777908
How to find the square root in long division method for 5.4289
(explanation attached)
SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!
Answer:
B. x=4
Step-by-step explanation:
Which of the following is an arithmetic sequence?
A. -2, -4, -8, -32...
B. 0, 5, 11, 24...
C. 1, -3, 9, -27, 81...
D. 0, 6, 12, 18, 24...
Answer:
The answer is letter D 0,6,12,18,24
Step-by-step explanation:
hope it's can help
PLEASE ANSWER ASAP‼
4-5c for C= -1/2