Solve using the quadratic formula. Approximate answers to the nearest tenth.

Answer:

option E

Step-by-step explanation:

have a great day

Given:

The radius of the circle is 17 in.

Central angle of intercepted arc is 0.7 radians.

To find:

The length s of the intercepted arc.

Solution:

The formula for the length of intercepted arc is:

[tex]s=r\theta[/tex]

Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in radians.

Substituting [tex]r=17,\ \theta =0.7[/tex] in the above formula, we get

[tex]s=17\times 0.7[/tex]

[tex]s=11.9[/tex]

Therefore, the length of the intercepted arc is 11.9 inches.

Answer:

2m^4 - 11m³ + m + 8

Step-by-step explanation:

(2m - 5m³) - (5m + 3m³ - 7m^4) + (8 - 3m³ - 5m^4 + 4m)

2m - 5m³ - 5m - 3m³ + 7m^4 + 8 - 3m³ - 5m^4 + 4m

7m^4 - 5m^4 - 5m³ - 3m³ - 3m³ + 2m - 5m + 4m + 8

2m^4 - 11m³ + m + 8

Answer:

8 + m - 11m^3 + 2m^4

Step-by-step explanation:

Add and subtract like terms:

8 + (2m - 5m +4m) + (-5m^3 - 3m^3 - 3m^3) + (7m^4 - 5m^4) =

8 + m - 11m^3 + 2m^4

Answer:

16 tiles

Step-by-step explanation:

Divide 4 by 1/4 to get your answer.

This is the same as multiplying 4 by the inverse of 1/4 (which is 4/1 a.k.a 4)

4 * 4 = 16

16 tiles will fit end-to-end along a 4-foot wall.

9514 1404 393

Answer:

  88°

Step-by-step explanation:

Angle MQP is called an "inscribed angle." Its vertex (Q) is on the circle, and its sides are chords of the circle. The ends of the sides intercept arc MP. The relationship between an inscribed angle and the intercepted arc is that the measure of the arc is twice the measure of the angle.

  arc MP = 2×∠MQP = 2×44°

  arc MP = 88°

Answer:A

Step-by-step explanation:line segment

Answer:

Step-by-step explanation:

-1  -1  3

1  -2 -2

The new coordinates of the vertices after a 90° clockwise rotation about the origin are:

[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]

If we rotate a triangle 90° counter clockwise about the origin,

Then if one of its vertices be (x, y), it will be changed to (y, x).

The triangle is given as follows:

[tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\\\end{array}\right][/tex]

To rotate the given triangle 90° clockwise about the origin, we can use the rotation matrix:

[tex]\left[\begin{array}{ccc}cos90^{o}&-sin90^{o}\\sin90^{o}&cos90^{o}\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0&-1\\1&0\\\end{array}\right][/tex]

To apply this rotation matrix to each vertex of the triangle, we multiply it with the coordinate vector of each vertex.

Let's denote the vertices of the triangle as A, B, and C.

A = (-1, -1)

B = (2, -1)

C = (2, 3)

Applying the rotation matrix to each vertex, we have:

[tex]A' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} -1 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ -1 \end{bmatrix}[/tex]

[tex]B' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ 2 \end{bmatrix}[/tex]

[tex]C' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ 3 \end{bmatrix} = \begin{bmatrix} -3 \ 2 \end{bmatrix}[/tex]

Therefore, the new coordinates of the vertices after a 90° clockwise rotation about the origin are:

A' = (1, -1)

B' = (1, 2)

C' = (-3, 2)

This can be written as follows:

[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]

Learn more about the rotating triangle here:

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Answer:its C because the base is the bottom of the figure and C goes to the middle point at the bottom of the figure

Step-by-step explanation:

Answer:

A triangle is dilated by scale factor of 1/5

Step-by-step explanation:

A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.

Answer:

indeed it does

Step-by-step explanation:

wheres the diagram exactly?

Answer:

44.29 grams

Step-by-step explanation:

82.69 - 38.4 gives you 44.29.

44.29 + 38.4 gives you 82.69.

Answer:

Step-by-step explanation:

2×πr² + 2πr×h =

= 2×π×4² + 2π×4×10.5 =

= 32π + 84π =

= 116π ≈

≈ 364.42 cm²

The total metal needed to make the can is 364.42 square centimeters if the soup can will have a radius of 4 cm and a height of 10.5 cm.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We have:

The radius of the soup can r = 4 cm

The height of the soup can h = 10.5 cm

We know the surface area of the cylinder:

[tex]\rm S = 2\pi r(r+h)[/tex]

[tex]\rm S = 2\pi \times 4(4+10.5)[/tex]

S = 364.42 square cm

Thus, the total metal needed to make the can is 364.42 square centimeters if the soup can will have a radius of 4 cm and a height of 10.5 cm.

Learn more about the cylinder here:

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Answer:

SD = 2x

UD = x[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.

SU is the shorter leg = x

So, SD = 2x

The longer leg of a 30-60-90 triangle is [tex]\sqrt{3}[/tex] times the shorter leg.

So, UD = x[tex]\sqrt{3}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

In  a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.

Answer:

+ 7 and - 2

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

x² + 5x - 14 = (x + 7)(x - 2) ← in factored form

Answer:D..the diagonals bisect each other. Since bisectors divide the diagonals equally in two parts.

Answer:

C.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Answer:

1.4 · 10³

Step-by-step explanation:

6.58 · [tex]10^{6}[/tex] ÷ 4.7 · 10³

6.58 ÷ 4.7 = 1.4

[tex]10^{6}[/tex] - 10³ = 10³

1.4 · 10³

Answer:

3.0926 x 10^10

Step-by-step explanation:

Answer:

Step-by-step explanation:

A=3.14 x 22m x 22m

A=69.08m x 22m

A=1519.76m2 (squared po yan)

Answer:

p²q + 3pq³

Step-by-step explanation:

(p + 3q²) pq ← multiply each term in the parenthesis by pq

= p²q + 3pq³

Answer:

you're answer is -2

Step-by-step explanation:

i hope this helped you have a nice day  :)

Answer:

[tex]G = (-1.5,1.5)[/tex]

Step-by-step explanation:

Given

[tex]M = (-7,5)[/tex]

[tex]A = (6,5)[/tex]

[tex]T = (4,-2)[/tex]

[tex]H = (-9,-2)[/tex]

Required

Determine the coordinate of G

From the complete question, G is at the intersection of MT and AH.

So, G is calculated using midpoint formula

[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

For MT:

[tex]M = (-7,5)[/tex]      [tex]T = (4,-2)[/tex]

[tex]G = \frac{1}{2}(-7 + 4, 5 -2)[/tex]

[tex]G = \frac{1}{2}(-3, 3)[/tex]

Open bracket

[tex]G = (-1.5,1.5)[/tex]

To show that [tex]G = (-1.5,1.5)[/tex]

We have:

[tex]A = (6,5)[/tex]       [tex]H = (-9,-2)[/tex]

[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

[tex]G =\frac{1}{2}(6-9,5-2)[/tex]

[tex]G = \frac{1}{2}(-3, 3)[/tex]

Open bracket

[tex]G = (-1.5,1.5)[/tex]

Hence, the coordinates of G is:

[tex]G = (-1.5,1.5)[/tex]

Answer:

17

Step-by-step explanation:

Range is the biggest number minus the smallest number. So 20-3=17

Answer:

Multiply the radius, r, by 2. Keep the angle measure x.

Step-by-step explanation:

The area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that Mancuso wants to draw a sector whose area is 2 times the area of the sector shown.

The area of the sector given is -

A = {x/180} x πr²

For the area to be double, we can write the area of the sector as -

A{new} = 2 × {x/180} × πr²

A{new} = {x/90} × πr²

Therefore, the area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².

To solve more questions on sectors, visit the link-

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Answer:

150

Step-by-step explanation:

250 - 100

Answer:

The Clubhouse and the Swimming Pool

Step-by-step explanation:

If you look closely the points are on the buildings. The X axis is left to right.

The Clubhouses coordinate is (12,12) but the Swimming Pools coordinates is (8,12). They have the same X-Axis

Answer:

club house and swimming pool

Step-by-step explanation:

club house and swimming pool both have an x-coordinate of 12.

Answer:

[tex] { - 5.6}xy ^{2} + yx + 2x[/tex]

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]

Step 1: Simplify both sides of the equation.

[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]

[tex](\frac{7}{2}x+\frac{1}{2}x)=\frac{9}{2}x+\frac{1}{2}[/tex]  (Combine Like Terms)

[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]

[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]

Step 2: Subtract [tex]\frac{9}{2}x[/tex] from both sides.

[tex]4x-\frac{9}{2}x=\frac{9}{2}x+\frac{1}{2}-\frac{9}{2}x[/tex]

[tex]\frac{-1}{2}x=\frac{1}{2}[/tex]

Step 3: Multiply both sides by [tex](\frac{2}{-1})[/tex].

[tex](\frac{2}{-1})*(\frac{-1}{2}x)=(\frac{2}{-1})*(\frac{1}{2})[/tex]

[tex]x=-1[/tex]

Therefore, [tex]x=-1[/tex] will be your final answer.

Sorry this took very long. I had to calculate all of this.