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3 years ago

Segment AB has endpoints A(-2, 3) and B(6, 11). Find the coordinates of the midpoint of AB.

Mathematics

1 answer:

pantera1 [17]3 years ago

5 0

Answer:

Midpoint = (2,7)

Step-by-step explanation:

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You are walking 3.5 miles per hour. At this pace, how long will it take to walk the 6 miles to school?

Shkiper50 [21]

Answer:

Step-by-step explanation:

speed = s = 3.5 miles / hour

d = 6 miles

t = ?

============

t = d / s

t = 6 / 3.5

t = 1.714 hours

t = 1 5/7 hours

You could figure this out in minutes for 5/7 but it will not make the time any clearer. You will still wind up with a fraction.

8 0

3 years ago

Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.10 cm. Samples of size

Sever21 [200]

Solution :

Given the average range of the holes drilled = 0.10 cm

The average diameter of the holes drilled = 0.25 cm

The sample size = 4

For the sample size of 4, the factor for control limit for the range ( $D_4$ ) = 2.28 (From the table of constants for X-bar and R-chart)

The upper control limit for the R-chart = R-bar x $D_4$

= 0.10 x 2.28

= 0.228

Therefore, the answer is greater than 0.202 but less than or equal to 0.302

5 0

3 years ago

Which statements describe a characteristic of a right pentagonal pyramid? Select two options.

NISA [10]

Answer:

B and D are correct

Step-by-step explanation:

<u>The options:</u>

A. The bases are parallel and congruent.

Incorrect. There are no parallel bases in any pyramid

B. The segment from the top to the center of the base is perpendicular to the base.

Correct as its a right pyramid

C. All the faces are congruent pentagons.

Incorrect. Only the base is pentagon.

D. The base is a pentagon and the sides are triangles.

Correct

E. The base must be a regular polygon.

Incorrect. It is pentagon.

7 0

3 years ago

Read 2 more answers

Jessica rode 9 miles farther than Roger rode. Let rrepresent the number ofmiles Roger rode. Write an expression for the number o

fenix001 [56]

R+9 Because Jessica rode 9 miles more than Roger, you would add 9 to Roger's number making the expression r+9

4 0

3 years ago

What is the volume of a pyramid whose base is a square of area 36 and whose four faces are equilateral triangles?

irina1246 [14]

Answer:

$V = 36\sqrt{2}$

Step-by-step explanation:

The volume of a pyramid is

$V = \dfrac{1}{3}Bh$

where B = area of the base, and h = height of the pyramid

The base is a square.

$A = s^2$

$s = \sqrt{A}$

$s = \sqrt{36}$

$s = 6$

The side of the base has length 6. Each face of the pyramid is an equilateral triangle with side of length 6.

An altitude of this triangle measures

$a = \sqrt{6^2 - 3^2}$

$a = \sqrt{27}$

The pyramid is formed by 4 equilateral triangles whose bases form a square. The tips of the faces meet at a single point on top. The vertical distance from that point to the center of the base is the height of the pyramid.

$h = \sqrt{(\sqrt{27})^2 - 3^2 }$

$h = \sqrt{27 - 9}$

$h = \sqrt{18}$

$h = 3 \sqrt{2}$

Volume of the pyramid:

$V = \dfrac{1}{3}Bh$

$V = \dfrac{1}{3}(36)(3\sqrt{2})$

$V = 36\sqrt{2}$

5 0

4 years ago