Use synthetic division to solve(X^3+1) divide by. X-1

The exact circumference of a circle is 34π meters. What is the approximate area of the circle? Use 3.14 for π. Round to the near

LiRa [457]

Answer:

A = 907.46 $m^{2}$

Step-by-step explanation:

C = πd

34π = πd

d = 34

r = 17

A = $\pi r^{2}$ = 3.14( $17^{2}$ ) = 3.14(289) = 907.46 $m^{2}$

3 0

3 years ago

A hyperbola has its foci at (1, 7) and (1, –13). A directrix of the hyperbola is y = 64/10. What is the equation of the hyperbol

lora16 [44]

Answer:

(y+3)^2/8^2 - (x-1)^2/6^2 = 1

Step-by-step explanation:

edg2020

7 0

4 years ago

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Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with t

kykrilka [37]

Answer:

1) E(-3, -4), F(1, -3), G(3, -6), and H(1, -6) a reflection across the x-axis

2) E(-3, -1), F(1, -2), G(3, 1), and H(1, 1) a translation 5 units down

3) E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6) a reflection across the y-axis

4) E(4, 4), F(8, 3), G(10, 6), and H(8, 6) a translation 7 units right

Step-by-step explanation:

Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6).

1) E(-3, -4), F(1, -3), G(3, -6), and H(1, -6)

A(-3, 4), B(1, 3), C(3, 6), and D(1, 6)

In this case the vertices has the same abscissas, and the ordinates have opposite sign, then the transformation is a reflection across the x-axis.

2) E(-3, -1), F(1, -2), G(3, 1), and H(1, 1)

A(-3, 4), B(1, 3), C(3, 6), and D(1, 6)

In this case the vertices has the same abscissas, and the ordinates of EFGH have 5 units less, then the transformation is a translation 5 units down.

3) E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6)

A(-3, 4), B(1, 3), C(3, 6), and D(1, 6)

In this case the vertices has the same ordinates, and the abcissas have opposite sign, then the transformation is a reflection across the y-axis.

4) E(4, 4), F(8, 3), G(10, 6), and H(8, 6)

A(-3, 4), B(1, 3), C(3, 6), and D(1, 6)

In this case the vertices has the same ordinates, and the abscissas of EFGH have 7 units more, then the transformation is a translation 7 units right.

7 0

4 years ago

The composite figure is made up of a rectangle and two pentagons. Find the

NARA [144]

Given:

A composite figure made up of a rectangle and two pentagons.

To find:

The area of the composite shape.

Solution:

If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by

$A=\frac{5}{2} (a)(s).$

In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.

The area of a pentagon $= \frac{5}{2} (5.5)(8) = 110$ sq units.

The area of 2 such pentagons $= 2(110)= 220$ square units.

The rectangle has a length of 14 units and a width of 8 units.

The area of a rectangle $= (l)(w).$

The area of the rectangle $= (14)(8)=112$ square units.

The area of the composite shape is the sum of the individual areas of the different shapes.

The area of the composite shape $=220+112=332$ sq units.

The area of the composite shape is option A. 332 sq units.

4 0

3 years ago

Choose Yes or No to tell if the fraction 4/9

77julia77 [94]

Yes
Yes
Maybe? The answer is 42.6
Yes

5 0

3 years ago

Read 2 more answers