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3 years ago

What is the next step in completing this construction?

Mathematics

2 answers:

lys-0071 [83]3 years ago

8 0

Answer:

The next step in completing the construction is

Join P to cut arc on circle i.e join PJ.

Step-by-step explanation:

Given the construction of tangent from the external point.

we have to tell the next step in completing the construction shown in diagram.

The step for construction are

Step 1: Draw a line joining the point to center of the circle to any external point P.

Step 2: Construct the perpendicular bisector of that line .

Step 3: Place the compass on the midpoint, adjust its length to reach the point P, and draw an arc across the circle .

Step 4: Join P to cut arc on circle i.e join PJ.

The 4 step is required step to complete the construction.

Hence, the next step in completing the construction is

Join P to cut arc on circle i.e join PJ.

muminat3 years ago

3 0

The intent of the construction appears to be to produce tangents from point P to the circle O. There are several possible next steps:
• Name the point of intersection just created between the arc and circle O
• Draw a line (or segment) between points P and J
• Draw a line (or segment) between point P and the intersecting point just created on circle O.

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A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2

ExtremeBDS [4]

Complete Question:

Here is the complete question:

A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2 by 4 boards at this lumber yard?

2 × 4 BOARD PRICES

8 foot board for $2.95

10 foot board for $3.15

12 foot board for $4.10

16 foot board for $5.80

20 foot board for $6.95

Step-by-step explanation:

8 foot board for $2.95

$\frac{2.95}{8}= 0.36875$

10 foot board for $3.15

$\:\frac{3.15}{10}=0.315$

12 foot board for $4.10

$\frac{4.1}{12}=0.341$

16 foot board for $5.80

$\frac{5.8}{16}= 0.3625$

20 foot board for $6.95

$\frac{6.95}{20}= 0.3475$

Therefore, 10 foot board for $3.15 is the best deal available on 2 by 4 boards at this lumber yard. It means you should be able to get 1 board for $0.315 when you buy 10 boards.

3 0

3 years ago

Using the discriminant, how many real number solutions does this equation have? 3x^2 – 2 = 5x

Anvisha [2.4K]

The discriminant of this equation is 49. The solutions for this equation are x=2 and x=- $\frac{1}{3}$
I hope that helps.

7 0

3 years ago

If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott

Goshia [24]

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

$a^{2} + b^{2} = c^{2}$

$8^{2} + b^{2} = 17^{2}$

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

$8^{2} + b^{2} = 17^{2}$ --> Square 8 and 17

$64 + b^{2} = 289$ --> Subtract 64 from both sides

$b^{2} = 225$ --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

7 0

3 years ago

What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?

Akimi4 [234]

Answer:

25.6 units

Step-by-step explanation: From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}

where

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

- For AB:

d=\sqrt{[1-(-5)]^{2}+(4-4)^2}

d=\sqrt{(1+5)^{2}+(0)^2}

d=\sqrt{(6)^{2}}

d=6

- For BC:

d=\sqrt{(3-1)^{2} +(-4-4)^{2}}

d=\sqrt{(2)^{2} +(-8)^{2}}

d=\sqrt{4+64}

d=\sqrt{68}

d=8.24

- For AC:

d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}

d=\sqrt{(3+5)^{2} +(-8)^{2}}

d=\sqrt{(8)^{2} +64}

d=\sqrt{64+64}

d=\sqrt{128}

d=11.31

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

p=AB+BC+AC

p=6+8.24+11.31

p=25.55

p=25.6

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

Read more on Brainly.com - brainly.com/question/12560433#readmore

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3 years ago

What is the standard form of the number shown in this calculator display?

kicyunya [14]

Answer:

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Step-by-step explanation:

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1 year ago