Answer:
A =a l × w and then you solve the equation you get the answer
Answer:
494.5 square inches
Step-by-step explanation:
5 times 4.3 is 21.5
21.5 times 23 is 494.5
Triangle ABC has perimeter 22 cm.
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.
Answer:
Step-by-step explanation:
A = 8 cm
B = 5 cm
C = 22 - 8 - 5 = 9 cm
Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.
8^2 + 5^2 = 9^2
64 + 25 = 81
89 = 81
89 does not equal 81, so this is not a right triangle.
What is the measure of angle t
Answer:
77° is the answer
Step-by-step explanation:
hope it helps;)
The measure of angle [T] will be ∠T = 139°.
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.
In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Area: ½ × base × heightPerimeter: sum of side lengths of the triangleNumber of vertices: 3Number of edges: 3Internal angle: 60° (for equilateral)Sum of interior angles: 180°Right angle: 90 degreesGiven is a triangle TSU.
The sum of the angles of a triangle is 180 degrees. So, we can write -
(21x + 13) + 4x + (3x - 1) = 180
21x + 4x + 3x + 13 - 1 = 180
28x + 12 = 180
28x = 168
x = 168/28
x = 6
So -
∠T = 21x + 13 = 21 x 6 + 13 = 126 + 13 = 139
∠T = 139°
Therefore, the measure of angle [T] will be ∠T = 139°.
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Please need help 100 points
Answer:
(29/37)-(48/37i)
Step-by-step explanation:
Use complex arithmetic rule:
a+bi/c+di = [(c-di)(a+bi)/(c-di)(c+di)] =[(ac+bd)+(bc-ad)i]/c^2+d^2
To get: (29-48i)/37
Then rewrite it in standard complex form to get your answer.
Hope that helps!
Anyone helps me pleaseeeeee✨
I will so so so love you if you help me to solve it!!!!!!!!!
Answer: Hope it helps :)
Step-by-step explanation:
The essential thing to learn from this lesson is the translation of equations. When f(x) = f'(x) + a, the graph of the equation is shifted up by a units.
When f(x) = f'(x + a), the graph of the equation is shifted left by a units.
Solve for x on number 13
Answer:
x = -4
Step-by-step explanation:
x + 63 and x + 125 are same-side interior angles, which mean they add up to 180°
x + 63 + x + 125 = 180°
2x + 188 = 180
2x = -8
x = -4
-Chetan K
Answer:
x=-4
Step-by-step explanation:
(x+125)+(x+63)=180
125+63=188
180-188= -8
-8/2= -4
The sum of twice a numbet n, and 14 ls 30 write an equation that models this
statement. Then explain how you might use reasoning to find the value of
Answer:
2n + 14 = 30
n = 8
Step-by-step explanation:
When the question says twice a number n, that means 2 * n = 2n.
Then when it says the sum of 2n and 14, that means 2n + 14.
Then they said that the sum of 2n + 14 = 30
If you want to find the value of n, subtract 14 from both sides:
2n = 16
Then divide by 2 on both sides:
n = 8
I hope this helps!
a woman is 16 weeks pregnant with her first baby. she asks how long it will be before she feels the baby move
It will take about 1 month or 2 months for the baby to start moving since a pregnancy takes 9 months so the most logical thing is that the baby starts to move between 1 month or 2 months
What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31
Answer:
X = 25
Step-by-step explanation:
To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp
A = Leg1
B = Leg 2
A^2 + B^2 = C^2
7^2 + 24 ^2 = x^2
49 + 576 = x^2
625 = X^2 (Square root both sides)
25 = x
-- Gage Millar, Algebra 1/2 tutor
helppppppppppppppppppppppppppppppppppppppppppppppp i will biranlllllly
Answer:
I don't know if this is right, sorry. I tried my best to determine them, none of them seemed like the would never happen besides the dog one. Have a nice day!
Step-by-step explanation:
a) even chance/ 1/2
b) even chance/ 1/2
c) no chance :( 0
d) even chance/ 1/2
e) even chance/ 1/2
what is the prime factorization of 252
1. 2^2x7x9
2. 2x7x27
3.2^2×3^2×7
4.2^3×3×7
Answer:
Prime factorization: 2x2x3x3x7
Exponential form: = 2^2 x 3^2 x 7
Step-by-step explanation:
Finds the value of x
Answer:
2 x or 3x
Step-by-step explanation:
because is have x
Answer:
x = 30
Step-by-step explanation:
The sum of the exterior angle and interior angle of a polygon = 180°
Then the 2 unknown interior angles are
180 - 2x and 180 - (3x - 20) = 180 - 3x + 20 = 200 - 3x
The sum of the 4 interior angles of a quadrilateral = 360°
sum the 4 interior angles and equate to 360
2x + 2x + 10 + 180 - 2x + 200 - 3x = 360 , that is
- x + 390 = 360 ( subtract 390 from both sides )
- x = - 30 ( multiply both sides by - 1 )
x = 30
How do I write 1/2y=2x-3 in standard form?
Answer: x−2y=6
hope this helps
Let A be a given matrix below. First, find the eigenvalues and their corresponding eigenspaces for the following matrices. Then, find an invertible matrix P and a diagonal matrix such that A = PDPâ’1.
(a) [ 3 2 2 3 ]
(b) [ 1 â 1 2 â 1 ]
(c) [1 2 3 0 2 3 0 0 3]
(d) [3 1 1 1 3 1 1 1 3]
It looks like given matrices are supposed to be
[tex]\begin{array}{ccccccc}\begin{bmatrix}3&2\\2&3\end{bmatrix} & & \begin{bmatrix}1&-1\\2&-1\end{bmatrix} & & \begin{bmatrix}1&2&3\\0&2&3\\0&0&3\end{bmatrix} & & \begin{bmatrix}3&1&1\\1&3&1\\1&1&3\end{bmatrix}\end{array}[/tex]
You can find the eigenvalues of matrix A by solving for λ in the equation det(A - λI) = 0, where I is the identity matrix. We also have the following facts about eigenvalues:
• tr(A) = trace of A = sum of diagonal entries = sum of eigenvalues
• det(A) = determinant of A = product of eigenvalues
(a) The eigenvalues are λ₁ = 1 and λ₂ = 5, since
[tex]\mathrm{tr}\begin{bmatrix}3&2\\2&3\end{bmatrix} = 3 + 3 = 6[/tex]
[tex]\det\begin{bmatrix}3&2\\2&3\end{bmatrix} = 3^2-2^2 = 5[/tex]
and
λ₁ + λ₂ = 6 ⇒ λ₁ λ₂ = λ₁ (6 - λ₁) = 5
⇒ 6 λ₁ - λ₁² = 5
⇒ λ₁² - 6 λ₁ + 5 = 0
⇒ (λ₁ - 5) (λ₁ - 1) = 0
⇒ λ₁ = 5 or λ₁ = 1
To find the corresponding eigenvectors, we solve for the vector v in Av = λv, or equivalently (A - λI) v = 0.
• For λ = 1, we have
[tex]\begin{bmatrix}3-1&2\\2&3-1\end{bmatrix}v = \begin{bmatrix}2&2\\2&2\end{bmatrix}v = 0[/tex]
With v = (v₁, v₂)ᵀ, this equation tells us that
2 v₁ + 2 v₂ = 0
so that if we choose v₁ = -1, then v₂ = 1. So Av = v for the eigenvector v = (-1, 1)ᵀ.
• For λ = 5, we would end up with
[tex]\begin{bmatrix}-2&2\\2&-2\end{bmatrix}v = 0[/tex]
and this tells us
-2 v₁ + 2 v₂ = 0
and it follows that v = (1, 1)ᵀ.
Then the decomposition of A into PDP⁻¹ is obtained with
[tex]P = \begin{bmatrix}-1 & 1 \\ 1 & 1\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}1 & 0 \\ 0 & 5\end{bmatrix}[/tex]
where the n-th column of P is the eigenvector associated with the eigenvalue in the n-th row/column of D.
(b) Consult part (a) for specific details. You would find that the eigenvalues are i and -i, as in i = √(-1). The corresponding eigenvectors are (1 + i, 2)ᵀ and (1 - i, 2)ᵀ, so that A = PDP⁻¹ if
[tex]P = \begin{bmatrix}1+i & 1-i\\2&2\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}i&0\\0&i\end{bmatrix}[/tex]
(c) For a 3×3 matrix, I'm not aware of any shortcuts like above, so we proceed as usual:
[tex]\det(A-\lambda I) = \det\begin{bmatrix}1-\lambda & 2 & 3 \\ 0 & 2-\lambda & 3 \\ 0 & 0 & 3-\lambda\end{bmatrix} = 0[/tex]
Since A - λI is upper-triangular, the determinant is exactly the product the entries on the diagonal:
det(A - λI) = (1 - λ) (2 - λ) (3 - λ) = 0
and it follows that the eigenvalues are λ₁ = 1, λ₂ = 2, and λ₃ = 3. Now solve for v = (v₁, v₂, v₃)ᵀ such that (A - λI) v = 0.
• For λ = 1,
[tex]\begin{bmatrix}0&2&3\\0&1&3\\0&0&2\end{bmatrix}v = 0[/tex]
tells us we can freely choose v₁ = 1, while the other components must be v₂ = v₃ = 0. Then v = (1, 0, 0)ᵀ.
• For λ = 2,
[tex]\begin{bmatrix}-1&2&3\\0&0&3\\0&0&1\end{bmatrix}v = 0[/tex]
tells us we need to fix v₃ = 0. Then -v₁ + 2 v₂ = 0, so we can choose, say, v₂ = 1 and v₁ = 2. Then v = (2, 1, 0)ᵀ.
• For λ = 3,
[tex]\begin{bmatrix}-2&2&3\\0&-1&3\\0&0&0\end{bmatrix}v = 0[/tex]
tells us if we choose v₃ = 1, then it follows that v₂ = 3 and v₁ = 9/2. To make things neater, let's scale these components by a factor of 2, so that v = (9, 6, 2)ᵀ.
Then we have A = PDP⁻¹ for
[tex]P = \begin{bmatrix}1&2&9\\0&1&6\\0&0&2\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}1&0&0\\0&2&0\\0&0&3\end{bmatrix}[/tex]
(d) Consult part (c) for all the details. Or, we can observe that λ₁ = 2 is an eigenvalue, since subtracting 2I from A gives a matrix of only 1s and det(A - 2I) = 0. Then using the eigen-facts,
• tr(A) = 3 + 3 + 3 = 9 = 2 + λ₂ + λ₃ ⇒ λ₂ + λ₃ = 7
• det(A) = 20 = 2 λ₂ λ₃ ⇒ λ₂ λ₃ = 10
and we find λ₂ = 2 and λ₃ = 5.
I'll omit the details for finding the eigenvector associated with λ = 5; I ended up with v = (1, 1, 1)ᵀ.
• For λ = 2,
[tex]\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}v = 0[/tex]
tells us that if we fix v₃ = 0, then v₁ + v₂ = 0, so that we can pick v₁ = 1 and v₂ = -1. So v = (1, -1, 0)ᵀ.
• For the repeated eigenvalue λ = 2, we find the generalized eigenvector such that (A - 2I)² v = 0.
[tex]\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}^2 v = \begin{bmatrix}3&3&3\\3&3&3\\3&3&3\end{bmatrix}v = 0[/tex]
This time we fix v₂ = 0, so that 3 v₁ + 3 v₃ = 0, and we can pick v₁ = 1 and v₃ = -1. So v = (1, 0, -1)ᵀ.
Then A = PDP⁻¹ if
[tex]P = \begin{bmatrix}1 & 1 & 1 \\ 1 & -1 & 0 \\ 1 & 0 & -1\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}5&0&0\\0&2&0\\0&2&2\end{bmatrix}[/tex]
there are 30 men and 15 of them have facial hair how much percentage would that be
Which is the best estimate?
halp me please and explain
Answer:
-2×2+1/2×(-1×3+2/3)
-3/2×(-1/3)
3/6
Select all the pairs of points so that the line between those points has slope 2/3.
B, (0,0)(3,2)
C, (1,5)(4,7)
D, (-2,-2)(4,2)
All of these ordered pairs have a slope of 2/3, by way of the slope formula.
The slope of option B, C and D are equal to 2/3.
The given slope is 2/3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
A) Using (0, 0) and (2, 3) we get slope as
Now, slope = (3-0)/(0-2)
=3/2
B) Using (0, 0) and (3, 2) we get slope as
Slope = (2-0)/(0-3)
= 2/3
C) Using (1, 5) and (4, 7) we get slope as
Slope = (7-5)/(4-1)
= 2/3
D) Using (-2, -2) and (4, 2) we get slope as
Slope =(2-(2))/(4-(-2))
= 4/6
= 2/3
E) Using (20, 30) and (-20, -30) we get slope as
Slope =(-30-30)/(-20-20)
= -60/(-40)
= 3/2
Therefore, the slope of option B, C and D are equal to 2/3.
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There are approximately 4 million births per year in the U.S. Express this quantity in births per minute.
Answer:
~7.61 births/minute
Step-by-step explanation:
2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3
Answer:
the question is not clear
Step-by-step explanation:
wdym by this 2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3
What is hypothesis and axioms?
Answer:
Hypothesis- scientific prediction that can be tested or verified
Axioms- statement which is assumed to be true
Step-by-step explanation:
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Answer:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
pls mark brainliest if this helped :)
You deposit $5000 into a savings
account. If you cam a simple
interest rate of 3%, how much
interest will you earn after 5 years
Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?
Answer:
He needs 132
Step-by-step explanation:
hope it helps
Hi! I'm 12 years old trying to move up in maths, does anyone have any tips about any one of these topics?
- Bearings
- Number scales
-Ratios
-Proportionally calculating quantities to recipes (??)
-Averages
-Times tables in general
Thank you so much if you decide to answer this!! Im trying to become a barrister when im older:)
Answer:
For number remember that the negative number are smaller, but if it question like this which one is bigger -5 or -6 will -5 will be the answer because it is not smaller than -6. For ratios just remember divide or number of something like there are 3 to 8 child in the classroom then thee ratios would be 3:8. Lastly for the times tables learn all of your times tables like your favorite game, so things will be easier on you.
what is the vertex of the parabola -2=3(x+3)^2?
Answer:
P(-3 , -2)
Step-by-step explanation:
Is the relation a function? Explain
Answer:
No, does not pass the vertical line test
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
A function is a relation in which that one x-value (input) is related to exactly one y-value (output). For relations shown on graphs, we can use the vertical line test.
Since the line would intercept at 2 points in the graph at one point, it is not a function.
Hope this helps.
Y=-3(x-4)+3x
Find f(-1)
Can someone solve and explain please? No Bots No Links.
Answer:
12
Step-by-step explanation:
while f(x) = f(-1) then we can solve the equation
Y=-3(x-4)+3x
f(x)=-3(x-4)+3x
f(-1)=-3(x-4)+3x
=-3((-1)-4)+3(-1) = 12
Y=12
The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?
Answer:
6.5
Step-by-step explanation:
6 to 9 so 39 divided by 6 and you get 6.5
Answer:
6:9 in-simplified is 23:39
Step-by-step explanation:
So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.
A half gallon of milk costs $1.89. Based on this price, about how much would 12 gallons of milk cost?
Answer:
45.36
Step-by-step explanation:
pleas mark brainlest
Answer:
$22.68
Step-by-step explanation:
$1.89 times 12
A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams of biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the average food intake (measured in grams of biscuits consumed) is different for the patients in the treatment group? Assume that conditions for inference are satisfied.
Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
Two groups of 22 patients, hence, the standard errors are:
[tex]s_1 = \frac{45.1}{\sqrt{22}} = 9.6154[/tex]
[tex]s_2 = \frac{26.4}{\sqrt{22}} = 5.6285[/tex]
The distribution of the differences is has:
[tex]\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{25 - 0}{11.14}[/tex]
[tex]t = 2.2438[/tex]
The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.
Using a t-distribution calculator, this p-value is of 0.0302.Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
A similar problem is given at https://brainly.com/question/25600813
