The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the length of the diagonal, Usinng Pythagoras:
d² = 22² + 22²
d = 31 feet
Using trigonometric identity:
sin(45) = 22/d
d = 31 feet
The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
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Form an expression for the sum of three consecutive odd integers if the smallest number is x.
(difference between consecutive odd integers is 2)
Answer:
3x + 6.
Step-by-step explanation:
That would be x + x +2 + x + 4
= 3x + 6.
Verify this by adding 7 9 and 11:
7 + 9 + 11 = 27
3(7) + 6 = 21 + 6 = 27.
hi i don’t know how to do the question in this picture can you help
Answer:
no... I m not gonna helping you why should I help you sorry but no sorry
If 8x+2y=−2 is a true equation, what would be the value of −3(8x+2y)?
Answer:
+6
Step-by-step explanation:
8x+2y=2so,
-3(8x+2y)
-3(-2)
-3×-2
remember -×- is a + so,
the answer is +6
Answer:
6Step-by-step explanation:
Given
8x + 2y = -2Multiply both sides by -3
-3(8x + 2y) = -2(-3)-3(8x + 2y) = 6Kyra had a sheet of stickers. She gave 5/8 of the sheet of stickers to Phil. She gave 2/8 of the sheet of stickers to Lisa. What fraction of the sheet of stickers did Kyra give to Phil and Lisa in all?
Which digit correctly completes the
comparison below?
21.851 < 21.?05
A. O
B. 5
C. 8
D. 9
Answer:
D. 9
Step-by-step explanation:
All the other answers are lower than 8.
Camila is curious about the average length of the female blue whales her organization monitors. She takes a
random sample of 4 female blue whales from this population. Their average recorded length is ő = 78 m and
their standard deviation is 8. = 10 m. The distribution of lengths in the sample is roughly symmetric with no
obvious outliers.
Based on this sample, which of the following is a 95% confidence interval for the mean length (in meters) of
female blue whales?
Choose 1 answer
(46.18, 109.82)
B
(62.09, 93.91)
(66.24, 89.77)
Using the t-distribution, as we have the standard deviation for the sample, the 95% confidence interval is (71.63, 84.36).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 4 - 1 = 3 df, is t = 3.1824.
The parameters are given as follows:
[tex]\overline{x} = 78, s = 10, n = 4[/tex]
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 78 - 3.1824\frac{10}{\sqrt{4}} = 71.63[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 78 + 3.1824\frac{10}{\sqrt{4}} = 84.36[/tex]
The 95% confidence interval is (71.63, 84.36).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Answer:
(62.09, 93.91)
Step-by-step explanation:
The correct answer on Khan
how do i solve this exponential equation
Answer:
x = 0 or 1/2
Step-by-step explanation:
Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.
__
[tex]3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}[/tex]
_____
Additional comment
A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.
How many lines of symmetry does the figure have?
Will mark brainlyest!
4
hope it helps....!!!!
6. A right triangle has legs of 5 ft and 6 ft. What is the length of the hypotenuse?
7.8
11.0
) 1.0
Answer:
7.8Step-by-step explanation:
Use Pythagorean
[tex]c = \sqrt{a^2+b^2}[/tex]Substitute the values
[tex]c=\sqrt{5^2+6^2}=\sqrt{25+36} =\sqrt{61} =7.8[/tex]Step-by-step explanation:
sqrt(5^2+6^2)= sqrt(25+36)
sqrt(61)= 7.8
Which graph best represents the solution set of -4x ≤ 6y − 54?
Answer:
a
Step-by-step explanation:
if its the same one i saw, the answer is a :)
Jerry climbed 250 steps in 12 1/2 minutes. How many steps did he average per minute?
Work Shown:
12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5
Jerry climbed 250 steps in 12.5 minutes
unit rate = (250 steps)/(12.5 min)
unit rate = (250/12.5) steps per min
unit rate = 20 steps per min
The unit rate is basically the same as the average speed.
Need help with this problem
Answer:
44
Step-by-step explanation:
i done this
2. The table shows the number of different color balloons set up for a dart game at a carnival. Which statement is true? 4 Balloon Color red yellow orange green blue purple Number of Balloons 5 6 5 4 10 1 4 F The probability of hitting a red balloon is as likely as hitting a yellow balloon. ba G The probability of hitting a blue balloon is greater than hitting the other color balloons. H The probability of hitting a yellow balloon is less than hitting the other color balloons. J The probability of hitting a green balloon is as likely as hitting a purple balloon.
Answer: honestly good question
good luck brothah
please help!
what are the angle measures of a and s?
Answer:
Q=91, S = 153
Step-by-step explanation:
QR and TS are parallel (see the arrows in the middle?). Means that angles T and Q add up to 180 - they are conjugate angles. Thus Q has to be 89 (since 89+91=180).
Same difference for R and S: they add up to 180 and since one is 27, the other has to be 153.
Solve the system of equations using elimination:
-3х — бу =-6 and
-4х — бу = -4.
Answer:
let's see....
lil info about elimination method:
it has to do with elimination of an entire value and coefficients meaning to get rid of them entirely! so to do that you must have two identical values.
look at -6 in the first equation and the other -6 below it in the second equation.
if you have something like that, then just look for a symbol like - or + that will eliminate them
so we use the - (minus) sign and just subtract the first equation from the second, you would get -x =2.
so x cannot be negative...
so x = -2.
( Incase the numbers aren't the same, you have to do something to make the numbers same but if you have it like that up⬆️ then just use the symbol that would eliminate those same numbers to give you x immediately)
I hope this helps
A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price is $p$ dollars (where $p \le 40$), then the number of books sold per month is $120-3p$. What price should the store charge to maximize its revenue?
Answer:
$20
Step-by-step explanation:
revenue would be price * quantity
p ( 120-3p)
-3p^2 + 120p = revenue max will occur at p = - b/2a = - 120/((2)(-3))
p max rev = 20
Which equation results from taking the square root of both sides of (x 9)2 = 25?
The values of the x when the square root is taken on both sides are negative 4 and negative 14.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
The equation is given below.
(x + 9)² = 25
Taking square root on both sides, then we have
(x + 9) = ±5
When the positive sign is considered, then we have
x + 9 = 5
x = -4
When the negative sign is considered, then we have
x + 9 = -5
x = -14
More about the Algebra link is given below.
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Write the inverse of 6x + 8y= 13 in f-1 (x) notation.
Answer:
Step-by-step explanation:
6x + 8y = 13
8y = 13 - 6x
y = (13 - 6x) / 8
f(x) = (13 - 6x) / 8
x = (13 - 6f^-1(x)) / 8
8x = 13 - 6f^-1(x)
6f^-1(x) + 8x = 13
f^-1(x) = (13 - 8x) / 6
What is the cube root?
Answer:
its 4/5
Step-by-step explanation:
cube of four is 64 and cube of 5 is 125
Answer:
4 / 5
Step-by-step explanation:
∛( 64 / 125 )
= ∛64 / ∛125
64 can be simplified as 4 x 4 x 4.
∛64
= ∛ ( 4 x 4 x 4 )
= 4
125 can be written as 5 x 5 x 5.
∛125
= ∛ ( 5 x 5 x 5 )
= 5
∛ ( 64 / 125 ) = 4 / 5
Directions: Select the correct answer from each drop-down menu. The histogram below shows the homework grades from the last assignment in Mr. Smith's class. Homework Grades 10 Number of Students. Using the histogram, determine the best measures of the data. The best measure of center is the median Chy, and the best measure of variability is the mean absolute deviation
Answer:
Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit.
Step-by-step explanation:
Answer:
Step-by-step explanation:
what he said
PLEASE HELP ME WITH THIS
Select the correct answer.
Function w is a nonlinear function. Which representation could represent function w?
Answer:
D
Step-by-step explanation:
ABC are linear so it has to be d
6.
A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the
shuffled deck:
a
What is the probability of drawing a card that is an even number? (1 point)
b.
What is the probability of drawing a card that can be divided by 5? (1 point)
с.
What is the probability of drawing a card that can be divided by 10? (1 point)
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
a.
There are 20 even numbers between 1 and 40.
The probability of drawing an even number.
= 20/40
= 1/2
b.
There are 8 numbers between 1 and 40 that can be divided by 5 (5, 10, 15, 20, 25, 30, 35, and 40).
The probability of drawing a card that can be divided by 5.
= 8/40
= 1/5
c.
There are 4 numbers between 1 and 40 that can be divided by 10 (10, 20, 30, and 40).
The probability of drawing a card that can be divided by 10.
= 4/40
= 1/10
Thus,
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
Learn more about probability here:
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Which is equivalent to this expression?
(z + )(27+ + 3z + 5)
A. 2? + 67% + 30
B. Z + 152? + 23% + 30
C. 22° + 672 + 30
D. 22° + 152? + 23z + 30
Answer:
D
Step-by-step explanation:
(z + 6)(2z² + 3z + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
z(2z² + 3z + 5) + 6(2z² + 3z + 5) ← distribute parenthesis
= 2z³ + 3z² + 5z + 12z² + 18z + 30 ← collect like terms
= 2z³ + 15z² + 23z + 30
What is 0.000647 in scientific notation?
Answer:
The answer is
[tex]6.47 \times 10 {}^{ - 5} [/tex]
• There is a rug you want to purchase for your apartment at Wal-Mart. The
length of the rug is (2x-9) and the width of the rug is (x+5). What is the
total area of the rug? Solve the problem using distributive property. Write
the answer as a trinomial.
Answer
12x-9x-45 (put a 2 above the x on the 12)
Step-by-step explanation:
(2x-9)(x+5)
2x(x) = 2x
2x(5) = 10x
-9(x) = -9x
-9(5) = -45
2x^2+10x^2-9x-45
2x^2+10x^2 = 12x^2
12x^2-9x-45
Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)?
Distance formula: 02 - x)2 + 02 -
(x - 1)2 + (y + 2)2= 25
(x + 2)2 + (x-1)2=5
(x + 2)2 + (-1)2= 25
(x - 1)2+ (y + 2)2=5
Answer:
(x - 1)2 + (y + 2)2= 25
Step-by-step explanation:
because that is it
what is is a true statement?
Answer:
The Second option, all parallelagrams are quadralatterals.
Step-by-step explanation:
because it for 1, makes the most sense, 2 most look like rhombuses which is a tilted square.
When solving the equation -3a^2=7a-3 using the quadratic formula, what values should be used for a, b, c
1. a=3, b=7, and c=3
2. a= -3, b=7, and c =-3
3. 3, b=-7, and c=-3
4. a= -3, b= -7, and c=3
A phone company charges $0.15 per minute for the first 3 minutes and $0.08 for each additional minute.
Find the cost of a 26 minute phone call.
O A $1.69
OB. $1.99
O C. $2.29
O D. $2.44
O E $2.53
9. A tissue box is shaped like a rectangular
prism. The tissue box measures 5.2 cm wide,
9.6 cm long, and 6 cm tall. Approximately what
is the volume of the tissue box?
Volume of the box = 5.2 × 9.6 × 6
= 299.52 ≈ 300 cm³ (approx)