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Hatshy [7]
3 years ago
15

: Find the approximate perimeter of the isosceles triangle A OPD.

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

24.98 units

Step-by-step explanation:

The picture of the question in the attached figure

we have the coordinates

P(1,-6),D(4,3),O(7,-6)

The perimeter of triangle OPD is equal to

P=OP+PD+OD

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance OP

we have

O(7,-6),P(1,-6)

substitute in the formula

d=\sqrt{(-6+6)^{2}+(1-7)^{2}}

d=\sqrt{(0)^{2}+(-6)^{2}}

d_O_P=6\ units

step 2

Find the distance PD

we have

P(1,-6),D(4,3)

substitute in the formula

d=\sqrt{(3+6)^{2}+(4-1)^{2}}

d=\sqrt{(9)^{2}+(3)^{2}}

d_P_D=\sqrt{90}\ units

step 3

Find the distance OD

we have

O(7,-6),D(4,3)

substitute in the formula

d=\sqrt{(3+6)^{2}+(4-7)^{2}}

d=\sqrt{(9)^{2}+(-3)^{2}}

d_O_D=\sqrt{90}\ units

step 4

Find the perimeter

P=6+\sqrt{90}+\sqrt{90}

P=6+9.49+9.49=24.98\ units

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A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
ale4655 [162]

Answer:

y  = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: ( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )

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y - 4 = -1/3 (x-5)=

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3 years ago
WLD Incorporated, a national data-collection agency, estimates that % of all customers at home warehouse stores (in the United S
Mila [183]

Answer: Our required probability is 0.62=62%.

Step-by-step explanation:

Since we have given that

Let A be the event that all customers at home warehouse stores own their own home.

Let B be the event that all customers at home warehouse have lived at their current address for less than 5 years.

P(A) = 54% = 0.54

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P(A∪B) = 26% = 0.26

We need to find the probability that a randomly selected home warehouse customer owns her own home or has lived at her current address for less than five years.

So, P(A∪B) is given by

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.54+0.34-0.26\\\\P(A\cup B)=0.88-0.26\\\\P(A\cup B)=0.62

Hence, our required probability is 0.62=62%.

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What’s the question......
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It took for 4 butterflies to give birth to 4 larvae. how many larvae would 12 butterflies give birth to in 12 days
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12 butterflies would give birth to 36 larvae in 12 days, if It took 4 days for 4 butterflies to give birth to 4 larvae.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

It took 4 days for 4 butterflies to give birth to 4 larvae. After 4 days, each butterfly produces a larvae

Hence for 12 butterflies in 12 days:

number of larvae = 12 butterflies * (12 days /4 days per larvae) = 36 larvae

12 butterflies would give birth to 36 larvae in 12 days, if It took 4 days for 4 butterflies to give birth to 4 larvae.

Find out more on equation at: brainly.com/question/2972832

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