[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6\\ \theta =45 \end{cases}\implies s=\cfrac{(45)\pi (6)}{180}\implies s=\cfrac{3\pi }{2}\implies s\approx 4.7[/tex]
Write the following decimal number in its equivalent fraction form. Show all work for full credit. 0.255
Plz help Needed for graduation!!
Answer:
[tex]\large\boxed{25^\frac{5}{2}=3,125}[/tex]
Step-by-step explanation:
[tex]a^n\cdot a^m=a^{n+m}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\======================\\\\25^\frac{5}{2}=25^{2\frac{1}{2}}=25^2\cdot25^\frac{1}{2}=625\sqrt[2]{25^1}=625\sqrt{25}=625(5)=3,125[/tex]
The answer options are
A. X/7 ≥ y/3 + 2
B. Y/2 ≤ x/3 +2
C. Y/7 ≤ x/3 + 3
D. X/7 ≤ y/3 +2
Ansgilcx dhsvguydfsjhujvcouwaihgraeuvyjsghdnvufyiekghabsuivkjkesd
Step-by-step explanation:
Show that the points (6,1), (5,6), (-4,3), (-3,2) are the vertices of a parallelogram
The points (6,1), (5,6), (-4,3), (-3,2) are the vertices of a parallelogram.
As we know mid point of diagonal are same.
Mid point of (6,1) and (-4,3) = (1,2)
Mid point of(5,6) and (-3,-2) = (1,2)
This is parallelogram.
The points (6,1), (5,6), (-4,3), (-3,2) are not the vertices of a parallelogram
What is Parallelogram?Parallelogram is a simple quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
let the vertices of a parallelogram be A(6,1), B(5,6), C(-4,3) and D(-3, 2)
by distance formula we have,
Distance between two points
Distance=√(x₂-x₁)²+(y₂-y₁)²
AB=√(5-6)²+(6-1)²=√1+25=√26
BC=√(-4-5)²+(3-6)²=√81+9=√90
CD=√(-3-4)²+(2-3)²=√49+1=√50
DA=√(-3-6)²+(2-1)²=√81+1=√82
AB is not equal to CD and BC not equal to AD
Opposite sides are not equal.
Hence, the points (6,1), (5,6), (-4,3), (-3,2) are not the vertices of a parallelogram
To learn more on Parallelogram click:
https://brainly.com/question/19187448
#SPJ2
y is directly proportional to X
When y = 30, x = 6
a) work out an equation connecting y and x.
b) Work out the value of y when x = 12
y = kx
30 = 6k
k = 5
a) y = 5x
y = 5 × 12
b) y = 60
The equation that connects y and x here is y = 5x, found by realizing y is directly proportional to x. Substituting the given values into this equation reveals that when x = 12, y = 60.
Explanation:In the given question, y is directly proportional to x. This can be written as y=kx, where 'k' is the constant of proportionality. When y=30 and x=6, substituting these values into the equation gives us 30=k*6. Solving for 'k', we get k=30/6 = 5, meaning our equation becomes y = 5x.
For part b), we can find the value of y when x=12 by substituting the value of x in our equation, y = 5x. This gives us y = 5*12, which results in y = 60.
Learn more about Proportional Relationship here:https://brainly.com/question/29765554
#SPJ5
Explain the difference between multiplying by powers of 10 when the exponent is a positive number and when the exponent is a negative number
Answer:
a negative number makes fractions. a positive one makes bigger number
Step-by-step explanation:
Answer:
a negative number makes fractions. a positive one makes bigger number
Step-by-step explanation:
7 to the -4 power x 7 to the 4 power
the answer is supposed to be one, i just dont know how to get to it
Answer:
The answer is 1
So first you will multiply the terms with the same base by adding their exponents. Then solve the exponents. Then the only thing you will have left is 7 to the power of 0. Which equals 1
solve y^2+7y+12=0 by completing the square.
Answer:
y = -3, -4
Step-by-step explanation:
Formula is (b/2)^2
So...
(y+7/2)^2 - 1/4 = 0
Add 1/4 to each side
(y+7/2)^2 = 1/4
Square root...
y+7/2 = +-1/2
Add
y = -3, -4
PLEASE HELP ME! Thanks! Brett is making a fruit salad. The recipe calls for 1 1/2 cups of apple, 3/4 cup of
oranges, and 2/3 cup of grapes. How many cups of fruit salad will Brett’s recipe make?
Answer:
2 11/12
Step-by-step explanation:
first we need to convert 3/4 and 2/3 to even denominators. I used the number 12.
9/12 + 8/12 = 17/12
1/2 = 6/12
17/12 + 6/12 = 23/12
23/12 = 1 11/12
But we still have 1 from the 1 1/2 so add that
1 + 1 11/12 = 2 11/12
2 11/12
Hope this helps! Please mark as brainliest! Thanks!
Find the distance between (-3,2) and (5, -6) using the distant formula.
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[5-(-3)]^2+[-6-2]^2}\implies d=\sqrt{(5+3)^2+(-8)^2} \\\\\\ d=\sqrt{8^2+8^2}\implies d=\sqrt{2(8^2)}\implies d=8\sqrt{2}[/tex]
The distance between (-3, 2) and (5, -6) is [tex]\(8\sqrt{2}\)[/tex] units.
The distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in a two-dimensional Cartesian plane can be found using the distance formula:
[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]
In this case, the points are (-3, 2) and (5, -6). Let's plug in these values into the formula:
[tex]\[ d = \sqrt{(5 - (-3))^2 + ((-6) - 2)^2} \][/tex]
Simplify the expression inside the square root:
[tex]\begin{aligned}& d=\sqrt{(5+3)^2+(-8)^2} \\& d=\sqrt{8^2+64} \\& d=\sqrt{64+64} \\& d=\sqrt{128} \\& d=8 \sqrt{2}\end{aligned}[/tex]
Sheila eats 3/4 of a bag of baby carrots each week.How many bags of carrots does she eat in 6 weeks? Write in Simplest Form
Answer:
9/2
Step-by-step explanation:
The line plot shows the number of points scored by Josh in his basketball games. How many games did Josh score more than six points?
Without the line plot data for Josh's basketball game points, we cannot determine how many games he scored more than six points. However, to create a side-by-side stem-and-leaf plot, you separate the tens and ones to form stems and leaves and compare wins and losses.
Explanation:To answer the question of how many games Josh scored more than six points, you would need to refer to the specific line plot data, which is not provided here. Since we don't have the actual line plot, we cannot accurately determine the number of games in which Josh scored more than six points.
In general, if you have a line plot illustrating the points scored by Josh in his basketball games, you would count the number of times the data points exceed the number six on the plot. That count would represent the number of games he scored more than six points.
For the task of creating a side-by-side stem-and-leaf plot for the wins and losses of a sports team over 42 seasons, you would first separate the tens and the ones to make the stems and leaves. For example, if a team won 10 games in a season and lost 9 games, the stem would be '1' for both, and the leaves would be '0' for wins and '9' for losses. This process would repeat for all 42 seasons, organizing the data side-by-side to easily compare wins and losses.
what is the lateral and surface area of a cone with a radius of 3 and height of 3
[tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies LA=\pi (3)\sqrt{3^2+3^2} \\\\\\ LA=3\pi \sqrt{2(3^2)}\implies \boxed{LA=9\pi \sqrt{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \textit{total surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies SA=\boxed{9\pi \sqrt{2}}+\pi 3^2 \\\\\\ SA=9\pi \sqrt{2}+9\pi \implies SA\approx 68.26[/tex]
Given: PKHE - inscribed, m∠E=120°
m∠EPK=51°, PF ∥EH
Find: m∠KPF, m∠H.
Answer:
KPF = 9 and H = 129
Step-by-step explanation:
An inscribed quadrilateral in a circle has all diagonal angles add up to 180, so we can use this to find the angles of the quadrilateral.
H= 180-EPK and K = 180-E so H = 129 and K = 60
Now PF and EH are parallel, so PE is a transversal. That means FPE = 180 - E = 60. Now it's pretty easy to solve for KPF = FPE - EPK = 60 - 51 = 9.
Let me know if you don't see how I did any of this and I'll be happy to explain it..
Is it independent or dependent?
Answer: I would say Independent
Step-by-step explanation:
the poduct of 10 and a number is 3 less than the number
Answer:
Step-by-step explanation:
10 x = x - 3 Subtract x from both sides
10x - x = - 3 Combine like terms on the left
9x = - 3 Divide both sides by 9
9x/9 = -3/9
x = - 1/3 or x = - 0.333333
A parallelogram has an area of 216.24 cm2
and a height of 15.9 cm.
How long is the base of the parallelogram?
Enter your answer as a decimal in the box.
Answer:
200.34 cm²
Step-by-step explanation:
Answer:
13.6 cm
Step-by-step explanation:
The area (A) of a parallelogram is calculated using the formula
A = bh ← b is the base and h the height
here A = 216.24 and h = 15.9, hence
15.9b = 216.24 ( divide both sides by 15.9 )
b = [tex]\frac{216.24}{15.9}[/tex] = 13.6 cm
Find half of 6 times 8
Answer:
24
Step-by-step explanation:
6 times 8 is 48 and i divided that by 2
Answer:
The answer is 24
Step-by-step explanation:
So simple
1) just Multiply
6 x 8 = 48
then divide by 2
48/2 = 24
Hope this help you!
In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?
Answer:
= 15.556 in
Step-by-step explanation:
Since this is a 45-45-90 triangle, we can tell that;
This is a right triangle This is an isosceles triangleOne of the theorems of geometry, the Isosceles Right Triangle Theorem, says that the hypotenuse is √2 times the length of a leg.
Therefore;
hypotenuse = leg × √2
If we take hypotenuse as x
Since the leg is 11;
Then; x = 11√2
x = 11/√2
x = 15.556 in
Solve the equation. x^2 − 6x − 7 = 0
A) x = 7
B) x = 1
C) x = 1 or x = −7
D) x = −1 or x = 7
x equals 7,-1 :)))))))))))
Answer:
D
Step-by-step explanation:
given x² - 6x - 7 = 0 ← in standard form
To factor the quadratic
Consider the factors of the constant term ( - 7 ) which sum to give the coefficient of the x- term ( - 6)
The factors are - 7 and + 1, since
- 7 × 1 = - 7 and - 7 + 1 = - 6, thus
(x - 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 1 = 0 ⇒ x = - 1
The solution to the equation is D
Abigail has 16 apples she eats 2 apples per day.let y be the apples remaining as a function of the number of week,x
Answer:
8 days
Step-by-step explanation:
question
how much apples remaing as a function of the number of week ? so Abigail has 16 apples she eats 2 apples per day
1 st how long before all her apples Finnish
8 days how
count by twos until u reach 16
so x= 8
Final answer:
Abigail has 16 apples, and by eating 2 per day, she consumes 14 per week. The function for remaining apples after x weeks is y = 16 - 14x.
Explanation:
Abigail has 16 apples and eats 2 apples per day. To express the remaining apples, y, as a function of the number of weeks, x, we first need to determine how many apples are eaten in one week. Since there are 7 days in a week and Abigail eats 2 apples per day, she will eat 14 apples in one week.
The function describing the remaining apples after x weeks can be constructed as follows:
Start with the total number of apples Abigail has, which is 16.
Calculate the total apples consumed in x weeks: Apples eaten per week × Number of weeks (x), which is 14x.
Subtract the total apples consumed from the initial amount to get the remaining apples: y = 16 - 14x.
This equation represents the remaining apples as a function of the number of weeks.
Which is greater? The square root of 121 or the cube root of 125. Explain your answer.
Answer:
The square root of 121.
Step-by-step explanation:
The square root of 121 is 11. 11x11=121 which makes the square root of 121, 11. The cube root of 125 is 5. Cube roots are numbers that are multiplied by each other to make a number, 125 is 5x5x5 so the cube root is 5. 11 is a greater number than 5 which makes the square root of 121 greater.
[tex]\bold{Hey\ there!}\\ \\ \bold{\sqrt{121}=11^2=11\times11=121} \\ \bullet{\sqrt{121}=11} \\ \\ \bold{\sqrt{125}=\sqrt[5]{5}=5} \\ \bold{\bullet{The\ cubed\ root\ of\ 125\ is\ 5}} \\ \\ \boxed{\boxed{\bold{Answer:\sqrt{121}\ is\ bigger\ than\ \sqrt[125]}}}[/tex][tex]\checkmark[/tex]
[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]
using the area model 8,708÷28
Answer:
311
Step-by-step explanation:
algebraic expression for x subtracted from 15
Answer:
15-x
Step-by-step explanation:
x subtracted from 15 - key word is subtracted from
that means flip it when it is written so it is 15-x
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ The algebraic expression for x subtracted from 15 is:
15-x
This is because it says x subtracted from 15, meaning x is taken out of 15.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
Find the output, k, when the input, t, is -7
K = 10t - 19
K= ?
Answer:
k= -89
Step-by-step explanation:
k = 10t - 19 and t = -7
k=10 (-7) - 19
k= -70 - 19
k= -89
Answer:
-89
Step-by-step explanation:
the area of a parallelogram is 36x^6y^5. if the base of the parallelogram is 3xy^2,what is the height of the parallelogram asap
Answer:
h = 12x^5y^3
Step-by-step explanation:
The area of a parallelogram is found using A = b*h. Substitute the values given and solve for h.
A = b*h
36x^6 y^5 = 3xy^2 * h
36x^6 y^5 ÷ 3xy^2 = h
12x^5y^3 = h
Tan 64 degrees = height / 75 ft
Answer:
176.08952318965774 or 176.1
Step-by-step explanation:
Tan(64) = h/75
Tan(64) * 75
= 176.08952318965774
A standard deck of 52 cards has four 13-card suits: diamonds, hearts, clubs, and spades. The diamonds and hearts are red, and the clubs and spades are black. Each 13-card suit contains cards numbered from 2 to 10, a jack, a queen, a king, and an ace. The jack, queen, and king are called face cards.
Roger drew one card from a standard deck of 52 cards. What is the probability that the card Roger drew is not red?
Answer:129
Step-by-step explanation:you just have to add them together
Final answer:
The probability that the card drawn by Roger from a standard deck is not red is 50%, as exactly half of the cards in a standard deck are black (non-red).
Explanation:
The student has asked what the probability is that a card drawn from a standard deck of 52 cards is not red. Given that half the cards are red (diamonds and hearts) and the other half are black (clubs and spades), we can easily calculate this probability.
Since there are 26 black cards (13 clubs and 13 spades) out of a total of 52 cards, the probability of drawing a black card is 26 out of 52, which can be simplified to 1/2 or 0.5. Therefore, the probability that Roger draws a card that is not red is 50%.
1)
Find function domain
f(x) = sqrt( 2sin x - 1 )
Answer:
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
Step-by-step explanation:
sinx can run from -1 to +1
2sinx can run from -2 to +2
2sinx -1 can run from -3 to +1
However, the square root is imaginary when x < 0. So, the condition is
2sinx -1 ≥ 0
2sinx ≥ 1
sinx ≥ ½
x ≥ π/6 (30°)
So, in the interval [0, 2π], π/6 ≤ x ≤ 5π/6
However, the sine is a cyclic function and repeats itself every 2π.
Over all real numbers, the condition is (π/6 +2πn) ≤ x ≤ (5π/6 + 2πn).
The domain is then
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of the larger figure
Answer:
The best estimate of the area of the larger figure is [tex]693\ cm^{2}[/tex]
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
x-----> the corresponding side of the larger figure
y-----> the corresponding side of the smaller figure
so
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=12\ cm[/tex]
[tex]y=9\ cm[/tex]
substitute
[tex]z=\frac{12}{9}=\frac{4}{3}[/tex] -----> the scale factor
step 2
Find the area of the larger figure
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z----> the scale factor
x-----> the area of the larger figure
y-----> the area of the smaller figure
so
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=\frac{4}{3}[/tex]
[tex]y=390\ cm^{2}[/tex]
substitute and solve for x
[tex](\frac{4}{3})^{2}=\frac{x}{390}[/tex]
[tex](\frac{16}{9})=\frac{x}{390}[/tex]
[tex]x=390*16/9=693.33\ cm^{2}[/tex]