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3 years ago

Measure the distance from point A to points B, C, and D. Round to the nearest eighth of an inch. Reduce if possible.

Mathematics

1 answer:

Vlad1618 [11]3 years ago

7 0

Answer:

if its on a coordinate plane the formula would be:

√(2x-1x)²+(2y-1y)²

Step-by-step explanation:

so if the coordinates were

A= (-3,2)

B= (4,2)

C= (4,-1)

D= (-3,-1)

for A to B it would be

√(4 - (-3)² + (2-2)²

√(7)² + (0)²

√(7·7) + (0·0)

√49+0

√49

I hope the explanation helped

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A coin is tossed 4 times. Let E1 be the event "the first toss shows heads" and E2 the event "the second toss shows heads" and so

Elden [556K]

Answer:

The events are independent.

The probability of showing heads on both toss is equal to 1/2

Step-by-step explanation:

The sample space for this experiment consists of 2⁴= 16 sample points, as each toss can result in two outcomes we assume that the events are equally likely.

Two events are independent in the sample space if the probability of one event occurs, is not affected by whether the other event has or has not occurred.

In general the k events are defined to be mutually independent if and only if the probability of the intersection of any 2,3,--------, k equals the product of their respective probabilities.

P (A∩B) = P(A). P(B)

P (A∩B) = 1/2. 1/2= 1/4

Head Tail

P(E1)= 1/2 ---------- Coin 1 H,H T,H

1/4 1/4

P(E2)= 1/2 --------------- Coin 2 H, H H,T

1/4 1/4

So the events are independent.

The probability of showing heads on both toss is equal to 1/2

The sample space for this experiment consists of 2⁴= 16 sample points, out of which eight will have heads on both toss.

Or in other words ( 1/4* 1/4) = 2/4 = 1/2

4 0

3 years ago

What is 20-7n=8(n-2). Please show steps.

ipn [44]

First, you need to distribute the right side of the equation : 8n - 2

Now the equation is : 20 - 7n = 8n - 2

Add 2 to both sides : 22 - 7n = 8n

Add 7n to both sides : 22 = 15n

Divide both sides by 15 : ( I had to round this one) 1.5 = n

4 0

3 years ago

Complete the tasks to subtract the polynomials

Talja [164]

Answer:

The additive inverse of the polynomial being subtracted is -0.612-8+181

Step-by-step explanation:

Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)

Now the polynomial being subtracted : (0.612 + 8 - 181)

Additive inverse : The number in the set of real numbers that when added to a given number will give zero.

So, Additive inverse of 0.612 = -0.612

Additive inverse of 8 = -8

Additive inverse of -181 = 181

So, The additive inverse of polynomial being subtracted : -0.612-8+181

So, Option B is true

Hence the additive inverse of the polynomial being subtracted is -0.612-8+181

5 0

3 years ago

On a map, the distance between two towns is 3.4 inches. The map scale is 2 inches: 25 miles. What is the actual distance between

Mariulka [41]

For this question we can solve it by setting up a proportion:

$\frac{2inches}{25 miles}= \frac{3.4inches}{x}$

Now we can solve for x to find the total distance between the towns. Let's cross multiply and solve for x:

$2x=85$
$x=42.5miles$

So now we know that the total distance between the towns is 42.5 miles.

4 0

3 years ago

Write the algebraic expression for each word problem.

Annette [7]

Answers:

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(b - 7) + 10

Question #7

20 + (w × 50)

Question #8

$\frac{c}{5}$

Question #9

5 + (2 · t)

Question #10

(d · 4) + (p · 2)

5 0

3 years ago

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