The angles of a triangle are equal to x, x+4 and 20x. What is the measure of the largest angle of the triangle?

Answer:

3 lb. 7 oz.

Step-by-step explanation:

Answer:

71lboz

Step-by-step explanation:

96lboz-5.5lboz

96lboz-.5lboz

96lboz-25lboz

=71lboz

When an arch is extended overhead into a half cylinder, it is known as a barrel vault.

A barrel vault is a curved architectural structure that resembles the shape of a half-cylinder. It is created by placing a series of arches side by side, forming a continuous and uninterrupted vaulted ceiling. The term "barrel" refers to the resemblance of the vault to the shape of a barrel or a tunnel.

Barrel vaults have been used in architecture for centuries and are often found in historical buildings and structures. They provide a sturdy and durable construction method, distributing the weight of the ceiling evenly along the arches. This allows for the creation of large and open interior spaces without the need for additional support columns.

Barrel vaults are commonly used in churches, cathedrals, and other monumental structures, where they serve both functional and aesthetic purposes. The sweeping and graceful curves of the barrel vaults add a sense of grandeur and elegance to architectural designs, making them a popular choice in various architectural styles throughout history.

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Answer:

$68.74

Step-by-step explanation:

Original: $99.99

New: x

Tax: $8.75

Discount : 40%

Discounts are applied before tax.

40% of 99.99 = 0.40(99.99) = 39.996

99.99 - 39.996 = 59.994

Apply tax:

59.994 + 8.75 = 68.744 ≈ 68.74

-Chetan K

Answer: 68.74

Step-by-step explanation:

99.99 * .60 = 59.994

59.994 + 8.75= 68.744

Round

68.74

The order of the product XY would be a 4 x 2 matrix which is the correct answer would be an option (B).

The order of the product of two matrices is determined by the number of rows in the first matrix and the number of columns in the second matrix.

Matrix X is a 4 x 3 matrix.

Matrix Y is a 3 x 2 matrix.

As per the given question, the product XY would have 4 rows (the same as the number of rows in matrix X) and 2 columns (the same as the number of columns in matrix Y).

Size of a matrix = number of rows × number of columns.

Size of a matrix = 4 x 2

Therefore, the order of the product XY would be a 4 x 2 matrix.

Hence,  the correct answer would be an option (B).

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Answer:

you would need to send 100 text messages for the plans to cost the same. if you only send 50 texts then plan a would be $10 cheaper a month.

Answer:

A would be 50 dollars for the extra 50 text.

Answer:

try 4 inches

Step-by-step explanation:

since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.

Answer:

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

2²+4² = h²

20 = h²

h = √20

h = 2√5

Therefore two sides of the rectangle will 2√5

No using pythagoreus theorem in the bigger triangle

x² + (2√5)² = 9²

x² = 9² - (2√5)²

x² = 81 - 20

x = √61

x = 7.8102496759

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 7.81

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Answer:

  3-4-5 right triangle is scalene

Step-by-step explanation:

You want to show the triangle defined by points P(3,2),Q(6,2) and R(6,6) is a scalene triangle.

We observe that points P and Q have the same y-coordinate, so lie on the horizontal line y=2. The length PQ is 6 -3 = 3 units.

Points Q and R have the same x-coordinate, so lie on the vertical line x=6. The length QR is 6 -2 = 4 units.

These legs are different lengths and are at right angles to each other. The third leg, the hypotenuse, will be longer than either of them.

The triangle's sides are unequal, so the triangle is a scalene triangle.

A regular hexagon has rotational symmetry and line symmetry. It can be rotated by 60 degrees, 120 degrees, 180 degrees, 240 degrees, 300 degrees, and 360 degrees to look the same.

It also has six lines of symmetry that divide it into identical halves.
A parallelogram has only line symmetry. It can be reflected across a vertical or horizontal line to look the same, but it cannot be rotated to look identical.
A kite has only line symmetry as well. It can be reflected across a line that goes through its two diagonals to look the same, but it cannot be rotated to look identical.
A scalene triangle has neither rotational nor line symmetry. It cannot be rotated or reflected to look identical.

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Step-by-step explanation:

For Taxi A,

Every 40 miles would cost £35, so for 240 miles:

240 miles ÷ 40 miles = 6 (number of 40-mile trips)

6 trips x £35 per trip = £210 (original cost without discount)

With a 15% discount,

15% of £210 = £31.50 (discount amount)

£210 - £31.50 = £178.50 (final cost after discount)

For Taxi B,

240 miles x £0.70/mile = £168 (final cost)

Therefore, the cheaper taxi journey for Corey would be Taxi B, which would cost £168.

Answer and Step-by-step explanation:

(i) The solution for equation: 2(3x-3) - 5 = 2(x-3) + 15 is:

2(3x-3) - 5 = 2(x-3) + 15

6x - 6 - 5 = 2x - 6 +15

6x - 2x = - 6 + 15 + 6 + 5

4x = 20

x = 5

The solution x is a real number and equals 5.

(ii) Since the order of hot sauce that goes into the gumbo doesn't matter, use combination:

\(C^{10}_{3}\) = \(\frac{10!}{3! (10-3)!}\)

\(C^{10}_{3}\) =  \(\frac{10.9.8.7!}{3.2.1.7!}\)

\(C^{10}_{3}\) = 120

There are 120 ways of picking 3 sauces out of 10.

(iii) Interest is calculated as:

interest = principal*rate*time

Principal is the value of the loan;

Rate is how much it will increase;

Time is for how long the loan will be taken. In this case, time is 9/12 since it was for months;

Interest = 3000 * \(\frac{11.75}{100}*\frac{9}{12}\)

Interest = 264.37

The interest the student will pay will be: $264.37.

Future Value = principal + interest

future value = 3000 + 264.37

future value = 3264.37

The future value for the student is $3264.37.

(iv) As shown in the image in the attachment, the sum of the equations equals 90:

2x + 30 + 2x + 40 = 90

4x = 20

x = 5

The angles are 40° and 50°

Answer:

208

Step-by-step explanation:

(-1)(-16)=16

16×13=208

The series converges. It is an alternating series with terms 6/(2n+5), where n starts from 0.


1. Identify the series as alternating: The series alternates signs (positive, negative, positive, etc.).
2. Determine the general term: The general term is 6/(2n+5).
3. Apply the Alternating Series Test: Check if the sequence of absolute values is decreasing and if the limit approaches zero.
  a. Decreasing: For all n, 6/(2n+5) > 6/(2(n+1)+5).
  b. Limit: As n approaches infinity, the limit of 6/(2n+5) is zero.
Since both conditions are met, the series converges.

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The radius of convergence is infinity, meaning the Maclaurin series for f(x) converges for all values of x.

Using the definition of a Maclaurin series, we have:

f(x) = e^(-x)

f(0) = e^0 = 1

f'(x) = -e^(-x)

f''(x) = e^(-x)

f'''(x) = -e^(-x)

f''''(x) = e^(-x)

...

So, the Maclaurin series for f(x) is:

f(x) = Σ(n=0 to infinity) (-1)^n * x^n / n!

The associated radius of convergence can be found using the ratio test:

lim(n→∞) |(-1)^(n+1) * x^(n+1) / (n+1)!| / |(-1)^n * x^n / n!|

= lim(n→∞) |x| / (n+1)

= 0 for all values of x

Therefore, the radius of convergence is infinity, meaning the Maclaurin series for f(x) converges for all values of x.

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The representation that yields the same outcome as the recursive arithmetic sequence is given as follows:

\(a_n = -1 + 4n\)

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

The first term of the sequence is given as follows:

\(a_1 = 3\)

From the recursive formula, each term is obtained subtracting the previous term by 4, hence the common difference is given as follows:

d = 4.

Then the explicit formula is:

\(a_n = 3 + 4(n - 1)\)

\(a_n = 3 + 4n - 4\)

\(a_n = -1 + 4n\)

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The correct choice is a triangular prism.

The given net represents a 3-dimensional object known as a triangular prism.

A triangular prism is a polyhedron with two triangular bases and three rectangular faces connecting the corresponding edges of the bases. The net provided shows the unfolded version of a triangular prism, where the triangular bases are represented by two triangles, and the rectangular faces are shown as three rectangles connecting the corresponding edges.

The net can be folded to form the original 3-dimensional triangular prism by aligning the corresponding edges and vertices. The triangular bases will become the top and bottom faces of the prism, while the rectangles will fold to create the three lateral faces.

The other options listed—triangular pyramid, square pyramid, and rectangular prism—do not match the given net. A triangular pyramid would have a single triangular base and three triangular faces meeting at a common vertex. A square pyramid would have a square base and four triangular faces meeting at a common vertex. A rectangular prism would have six rectangular faces, with opposite faces being congruent.

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Answer:

She is about 14.765 miles (\(\sqrt{218}\) miles) from where she started

Step-by-step explanation:

There is a relation between the three sides of the right triangle

∵ Jennifer bikes 7 miles south

∵ She turns to bike 13 miles east

∵ South and East are perpendicular

→ That means the distance from her start point to end point represents

   a hypotenuse of a right triangle, whose legs are 7 and 13

∴  (hypotenuse)² =  (leg1)² + (leg2)², where

∵ Leg1 = 7 miles

∵ leg 2 = 13 miles

∴ (hypotenuse)² =  (7)² + (13)²

∴ (hypotenuse)² = 49 + 169

∴ (hypotenuse)² = 218

→ Take √  for both sides

∴ hypotenuse = \(\sqrt{218}\)

∴ hypotenuse ≅ 14.76482306

∴ She is about 14.765 miles (\(\sqrt{218}\) miles) from where she started.

hi there! here's my answer for you...

i do not think there is an answer since the equation you have given is not a conic section. therefore, there is no vertex form, axis of symmetry, or vertex.

hope this helped. have a good one!

Step-by-step explanation:

Given

3 (t + 4 ) = 25.5

t + 4 = 25.5 / 3

t + 4 = 8.5

t = 8.5 - 4

t = 4.5

Hope it helps :)

Step-by-step explanation:

the answer would be t=4.5

Answer:

Step-by-step explanation:

Term is the product of its factors. Terms are combined to form algebraic expressions.

Terms:

-3t²

5

Answer:

10%

Step-by-step explanation:

Principal= $1000

Time= 10years

Simple Interest=1000 ( If we want to double the money, the interest will be the same as the principal)

Rate=r

SI =PRT/100

1000= 1000 x 10 x r /100

r=1000/100

r = 10%

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In general, the Divergence Test (nth term test) only allows us to determine whether a series diverges or not. It does not help us to determine the convergence of a series. Therefore, none of the other tests apply to this series.

The Divergence Test (nth term test) states that if the limit of the nth term of a series is not equal to zero, then the series diverges.

The series [infinity] 12 n n=1 is defined as follows:

[infinity] 12 n n=1 = 12¹ + 12² + 12³ + ...

The nth term of this series is given by:

aₙ = 12ⁿ As n → ∞, aₙ → ∞,

which means the limit of the nth term of the series does not exist.

Therefore, the series [infinity] 12 n n=1 diverges by the Divergence Test (nth term test).

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Answer:

6 and - 4

Step-by-step explanation:

Adding up to 2

\(6 + ( - 4) = 6 - 4 \\ 6 - 4 = 2\)

Multiply to -24

\(6 \times ( - 4) = - 24\)

The difference between exponents \((a^n)^m = a^{mn}\) and \(a^nb^n = (ab)^n\) has been described below

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In \(2^4 = 2 \times 2 \times 2 \times 2\)

Here, 2 is multiplied by itself 4 times.

If \(a^m = a \times a \times a \times....... \times a\) (m times), a is the base and m is the index.

The laws of index are-

\(a^m \times a^n = a^{m + n}\\a^m \div a^n = a^{m-n}\\a^0 = 1\\a^{-n} = \frac{1}{a^n}\\\\a^m b^m = (ab)^m\\(\frac{a}{b})^n = \frac{a^n}{b^n}\)

In case of  \((a^n)^m = a^{mn}\), the base is single but in case of \(a^nb^n = (ab)^n\), the base is a product of two numbers

If the base can be expressed as a product of different numbers,

\(a^nb^n = (ab)^n\) is used

If the base cannot be expressed as a product, then \((a^n)^m = a^{mn}\) is used

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Answer:

Proportional

Step-by-step explanation:

Let's test this out. So for example you have the fractions: 12/30 and 18/?

Let's solve for ?

12 - 18

30 - ?

Solve: 30×18÷12=45

In the problem it also said 45 on the bottom, so yah they are proportional.

Answer:

5.136 is 5.1 to the nearest tenth