Answers
Answer:
Step-by-step explanation:
for number 8 we have to use the equation πr^2, so plugging 9 into the equation would give us π(9^2). squaring the 9 gives us 81, and 81 times π equals ~25.
for number 9 we need to use the same equation, πr^2 to find the area, but since we are given the diameter we do not need to use r^2. Instead, we can use π(106) which gives us 333.
Related Questions
Kenji and Isabel are standing exactly opposite one another on the banks at the edge of either side of a 40 m wide river. Isabel turns and walks 13 m along the bank of the river. About how far apart is Isabel from Kenji after Isabel walks along the bank of the river? Enter your answer, rounded to the nearest meter, in the box.
Answers
Answer:
42
Step-by-step explanation:
40^2+13^2=x^2
1600+169=x^2
1769=x^2
1769−−−−√=x2−−√
±42≈x
Variability ? I'm confused
Answers
PLEASE ANSWER! WILL GIVE BRAINLIEST!
The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).
Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)
2. What is the measure of the sum of the angles in a triangle? (2 points)
3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)
Answers
1. m∠5 = 75° (corresponding angles theorem)
2. Sum of angles in a triangle = 180°
3. m∠3 = 55°
4. Straight line angle = 180°
5. m∠2 = 50°
What is the Corresponding Angles Theorem?If two corresponding angles are formed when a transversal intersect parallel lines, they are both congruent based on the corresponding angles theorem.
1. m∠5 = m∠1 (corresponding angles theorem)
m∠5 = 75°
2. Sum of angles in a triangle = 180°
3. m∠3 + m∠4 + m∠5 = 180° (sum of triangle)
Substitute
m∠3 = 180 - 50 - 75 = 55°
4. Straight line angle = 180°
5. m∠2 = 180 - m∠3 + m∠1 (straight line angle)
m∠2 = 180 - 55 - 75
m∠2 = 50°
Learn more about corresponding angles theorem on:
https://brainly.com/question/5221905
In centimeters, what is the unknown length in this right triangle?
A right triangle with side length 60 centimeters, x, and hypotenuse of 61 centimeters.
Answers
Answer:
Given:-Side length ( perpendicular = 60 cm)
Hypotenuse = 61 cm
To find :-Base length
Solution:By Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
61² = 60² + base²
3721-3600 = Base²
√121 = base
11cm = base
Answer:
Base = x = 11 cmStep-by-step explanation:
In the question we are given ,
Side length ( Perpendicular ) = 60 cm Hypotenuse = 61 cmAnd we have asked to find the length of base that is denoted by x .
Solution : -
According to Pythagoras Theorem ,
[tex] \longrightarrow \purple{\boxed{H {}^{2} = P {}^{2} + B {}^{2} }} \longleftarrow[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseNow , substituting value of hypotenuse, perpendicular and base :
[tex] \hookrightarrow \: 61 {}^{2} = 60 {}^{2} + x {}^{2} [/tex]
Now by squaring 61 and 60 , we get :
[tex] \hookrightarrow \:3721 = 3600 + x {}^{2} [/tex]
Now transposing 3600 to left hand side :
[tex] \hookrightarrow \:3721 - 3600 = x {}^{2} [/tex]
Now subtracting 3600 from 3721 :
[tex] \hookrightarrow \:121 = x {}^{2} [/tex]
[tex] \hookrightarrow \: \sqrt{121} = x[/tex]
We know that 11 × 11 is equal to 121 that means square root of 121 is 11 . So :
[tex] \hookrightarrow \: \red{ \boxed{11 \: cm = x}}[/tex]
x = baseHenceforth, length of base of right triangle is 11 cm .#Keep Learningthe final price of a book is $27 dollars. An 8% sales tax was added to the original price, then you used a coupon for 50% off. What was the original price of the book?
Answers
Answer:
14.58
Step-by-step explanation:
x\27 = 54/100 cross multiply then divide by 100% x=Original price
so then you'll get 14.58
Which expression is equivalent to the following complex fraction?
Answers
Answer:
[tex]\frac{2y-1}{3y+1}[/tex]
Step-by-step explanation:
[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] ( multiply numerator and denominator by y to clear the fractions )
[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] × [tex]\frac{y}{y}[/tex]
= [tex]\frac{2y-1}{3y+1}[/tex]
A raffle ticket is sold for $3.50 each and the prize for winning the raffle is $250. If 100
people entered the raffle, what is:
the expected value? =
are you expected to win or lose the raffle? =
a fair price for the raffle ticket? =
Answers
What is 56 ÷ (-8) = ___ need fast will give brainliest
Answers
Answer:
-7
Step-by-step explanation:
^
Answer:
-7
Step-by-step explanation:
please help me find DE
Answers
You can split up the length of AE into the lengths of the line segments connecting adjacent points:
AE = AB + BC + CD + DE
Plug in everything you know and solve for DE :
9 = (2 1/2) + (4 1/3) + (1 2/3) + DE
Rewrite the mixed numbers as improper fractions with a common denominator.
2 1/2 = 4/2 + 1/2 = 5/2 = 15/6
4 1/3 = 12/3 + 1/3 = 13/3 = 26/6
1 2/3 = 3/3 + 2/3 = 5/3 = 10/6
9 = 54/6
So we have
54/6 = 15/6 + 26/6 + 10/6 + DE
⇒ DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2
(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)
Find the turning point of y=x^2+10x+12
Answers
Answer:
vertex = (- 5, - 13 )
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the turning point ( vertex) is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 10x + 12 ← is in standard form
with a = 1, b = 10 , then
x = - [tex]\frac{10}{2}[/tex] = - 5
substitute x = - 5 into the equation and evaluate for y
y = (- 5)² + 10(- 5) + 12 = 25 - 50 + 12 = - 13
turning point = (- 5, - 13 )
Please help me solve this question
Answers
Answer:D
Step-by-step explanation: Multiply the expression
sin(α)=725 sin ( α ) = 7 25 and α is in quadrant II and cos(β)=8/7
Answers
Answer:
sin (α )= 72 5sin (α) = 725
Step-by-step explanation:
5x+2y=-3
-3x-y=2
Use determinant method and Gauss Jordan Elimination method to solve the systems of linear equation.
please with working out
Answers
Question 8 of 10
If a student answered 69 exam questions correctly out of 100, what fraction
and what percentage of questions did the student answer incorrectly?
Choose two answers. Need help ASAP
A.
30/100
B. 0.69%
C. 31%
D. 69%
E. 31/100
F. 69/100
Answers
Answer: I believe B and F
Step-by-step explanation:
Hope this help?!
If the point (-1.9, -2) is reflected across the x-axis, which quadrant will it be in?
Answers
Answer: im pretty sure it would be in the 2nd quadrant. cause its -1.9, -2 so that i think is in 3rd quadrant so reflected woud be in 2nd quadrant
hope this makes sense
Answer:
Quadrant 1
The since both of the coordinates are negative, they'll take place in Quadrant 3, so if it was the opposite (mirrored), they would both be positive making them be in Quadrant 1.
Find the area of the regular 18-gon with Radius is 7 mm
Answers
Jajaj Josh’s but link.bio hope that helps
Question is in picture
Answers
Answer: Heat pollution.
If you are to search up
heat pollution occurs because?
the answer that will pop up is:
The main reasons of thermal pollution are industries and power plants, withdrawing water (a powerful sink for heat waste) from streams for cooling their generators and machines, and then releasing back into the water bodies, which elevates the temperature of freshwater habitats (Miara et al., 2018).
Simplifly the expression: x-3x-(-5x)
Answers
Answer:
The answer is 3x.
Step-by-step explanation:
I used a calculator
Write the multiplication equation that represents the model
Answers
Answer:
2/3 × 2/5 = 4/15
Step-by-step explanation:
see image. If you just look at the horizontal lines the rectangle is divided into thirds. Two of the sections are highlighted indicating 2 out of 3, or 2/3.
If you then consider the vertical lines. There are 5 sections and 2 out of the 5 are highlighted indicating 2/5.
When you overlap both images (which is what the original image you posted was) you get a small section that is doubly highlighted. In your original image it is kind of purple (I marked them in yellow) In the double-layered image, there are 15 small sections. 4 are highlighted (double-highlighted) This is 4/15.
2/3 × 2/5 = 4/15
I supposed it could also be
2/5 × 2/3 = 4/15
Numerically, these are the same. They have the same result. I hope this helps!
X' + 2y' + x = 0 , x' - y' + y = 0 x(0) = 0 and y(0) = 1
Answers
This looks like a system of differential equations.
[tex]\begin{cases}x' + 2y' + x = 0 \\ x' - y' + y = 0 \\x(0)=0, y(0)=1\end{cases}[/tex]
Eliminating x' gives
[tex](x'+2y'+x)-(x'-y'+y) = 0 - 0 \implies 3y' - y + x = 0[/tex]
and eliminating y' gives
[tex](x'+2y'+x) + 2(x'-y'+y)=0+2\times0 \implies 3x' + x + 2y = 0[/tex]
so that we can rewrite the system as
[tex]\begin{cases}3x' = -x - 2y \\ 3y' = -x + y\end{cases}[/tex]
or equivalently in matrix form as
[tex]\begin{bmatrix}x\\y\end{bmatrix}' = \dfrac13 \begin{bmatrix}-1&-2\\-1&1\end{bmatrix} \begin{bmatrix}x\\y\end{bmatrix}[/tex]
Compute the eigenvalues for the coefficient matrix:
[tex]\det\begin{bmatrix}-1-\lambda&-2\\-1&1-\lambda\end{bmatrix} = (-1-\lambda)(1-\lambda) - 2 = \lambda^2 -3 = 0 \implies \lambda=\pm\sqrt3[/tex]
Compute the corresponding eigenvectors:
[tex]\lambda=\sqrt3 \implies \begin{bmatrix}-1-\sqrt3&-2\\-1&1-\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1=(1-\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1-\sqrt3\\1\end{bmatrix}[/tex]
[tex]\lambda=-\sqrt3 \implies \begin{bmatrix}-1+\sqrt3&-2\\-1&1+\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1 = (1+\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]
We end up multiplying the matrix by 1/3, so the eigenvalues also get scaled by 1/3 and λ = ±1/√3. The eigenvectors stay the same.
Then the characteristic solution to the system is
[tex]\begin{bmatrix}x\\y\end{bmatrix} = C_1 e^{t/\sqrt3} \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 e^{-t/\sqrt3} \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]
Use the initial conditions to solve for the constants.
[tex]\begin{bmatrix}0\\1\end{bmatrix} = C_1 \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]
[tex]\implies \begin{cases}(1-\sqrt3) C_1 + (1+\sqrt3) C_2 = 0 \\ C_1 + C_2 = 3\end{cases}[/tex]
[tex]\implies C_1=\dfrac{3+\sqrt3}2, C_2=\dfrac{3-\sqrt3}2[/tex]
Then the particular solution is
[tex]\begin{bmatrix}x\\y\end{bmatrix} = \dfrac{3+\sqrt3}6 e^{t/\sqrt3} \begin{bmatrix}1-\sqrt3\\1\end{bmatrix} + \dfrac{3-\sqrt3}6 e^{-t/\sqrt3} \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]
or
[tex]\begin{cases}x(t) = -\dfrac1{\sqrt3} e^{\sqrt3 \, t} + \dfrac1{\sqrt3} e^{-\sqrt3\,t} \\\\ y(t) = \dfrac{3+\sqrt3}6 e^{\sqrt3\,t} + \dfrac{3-\sqrt3}6 e^{-\sqrt3\,t}\end{cases}[/tex]
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
To find the missing angle's measure
⇒ important to understand the sum of the angles of a triangle
⇒ the sum of every angle of any triangle in all cases equal to 180
degrees
What is the information given:
⇒ one angle is of 94 degrees and the other of 46 degrees
Using the information in the first section and the information given in the diagram, let's set up an equation:
[tex]94+46+x = 180\\140+x = 180\\x = 40[/tex]
The measure of the missing angle is 40 degrees
Hope that helps!
Solve 4\left| {x + 5} \right| + 8 = 244∣x+5∣+8=24.
Answers
Isolate the absolute value term:
4 |x + 5| + 8 = 24
4 |x + 5| = 16
|x + 5| = 4
By definition of absolute value,
• if x + 5 ≥ 0, then |x + 5| = x + 5, and so
x + 5 = 4
x = -1
• otherwise, if x + 5 < 0, then |x + 5| = -(x + 5), and so
-x - 5 = 4
-x = 9
x = -9
Fifty is a composite number. Use
a factor tree to find the prime
factorization of 50.
Answers
Answer:
2*5*5
Step-by-step explanation:
50 ---> 25 * 2
25 = 5*5
50 = 2*5*5
Hope this helps :)
Have a nice day!
Find the measures of the angles in each triangle.
Answers
Answer:
55°
Step-by-step explanation:
so,area of a triangle is equal to 180°which means:(x-2)° + x° + 72° =180°take 72° to the other side and it will be negative(x-2)°+x°=180°-72°=108x-2+x=108x+x=1102x=110x=55I hope that helps
solve 3/8[-8+16-(-2 1/2)]
Answers
3.375
hope it helps...!!
Jody is buying a scrapbook and sheets of designer paper. She has
$40 and needs at least $18.25 to buy the scrapbook. Each sheet of
paper costs $0.34.
How many sheets of paper can she buy?
Answers
Answer:
Step-by-step explanation:
$40 - $18.25 = $21.75
she has $21.75 to buy the paper with
21.75 divided by 0.34 is 63.971...
this means she only has enough money to buy 63 sheets of paper
leaving her with only 33 cents
What does the notation P(B|A) mean?
Answers
Answer:
the answer for this one it should be the probability or chances that the event b occurs when the event a has occured.
Step-by-step explanation: I hope this help you pal or folk and have a great day.
Which of the following sets of numbers is a Pythagorean triple?
14, 40, 50
7, 24, 31
7, 20, 27
14, 48, 50
Answers
Answer:
the answer your looking for would be 14, 48, 50.
Step-by-step explanation:
Hope this helps!
Answer:
14, 48, 50 have a good day
Step-by-step explanation:
Please help me with this! 30 POINTS!
Answers
Answer:
B) -2⅛
Step-by-step explanation:
All other options are irrational
Please please help!!! will give brainliest
Answers
Answer: i think the answer is 116. if it is not i am terribly sorry.
Step-by-step explanation: