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Step2247 [10]
2 years ago
7

The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle?

Mathematics
1 answer:
erik [133]2 years ago
3 0

Step-by-step explanation:

Solution

verified

Verified by Toppr

Correct option is A)

In an isosceles right angled triangle, the two sides on the right angle are equal.

Let the equal sides be a.

Hence, hypotenuse of the isosceles right angled triangle =

a

2

+a

2

=

2

a

Given, perimeter of the triangle =(6+3

2

)m

⇒a+a+

2

a=(6+3

2

)m

⇒a(2+

2

)=3(2+

2

)m

⇒a=3m

In the isosceles right triangle, the base and height =a

Hence, area of the triangle =

2

1

×base×height =

2

1

×3×3=4.5m

2

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Line MN passes through points M4, 3) and M7, 12). If the equation of the line is written in slope-intercept form, y-mx+ b, what
Butoxors [25]

Answer:

<h2>b = -9</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points M(4, 3) and N(7, 12). Substitute:

m=\dfrac{12-3}{7-4}=\dfrac{9}{3}=3

Therefore we have the equation:

y=3x+b

Put the coordinates of the point M to the equation:

3=3(4)+b

3=12+b            <em>subtract 12 from both sides</em>

-9=b

4 0
3 years ago
What is 3 to the power 3/7 rounded to the nearest half
Leno4ka [110]

Answer:

1 1/2

Step-by-step explanation:

3^3/7 ≈ 1.601

1.601 rounded to the nearest half is 1 1/2.

3 0
2 years ago
1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises? <br>​
babunello [35]
It rises 11 degrees

Step by step explanation
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What is the measure of angle X. No links plz
Usimov [2.4K]

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Step-by-step explanation:

4 0
3 years ago
a slitter assembly contains 48 blades five blades are selected at random and evaluated each day for sharpness if any dull blade
son4ous [18]

Answer:

P(at least 1 dull blade)=0.7068

Step-by-step explanation:

I hope this helps.

This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.

So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.

P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1

P(at least 1 dull blade)=1-P(no dull blades)

But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.

So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.

Also since are consecutive events, you need to multiply the events.

The probability that the assembly is replaced the first day is:

P(at least 1 dull blade)=1-P(no dull blades)

P(at least 1 dull blade)=1-(\frac{38}{48}* \frac{37}{47} *\frac{36}{46}*\frac{35}{45}*\frac{34}{44})

P(at least 1 dull blade)=1-0.2931

P(at least 1 dull blade)=0.7068

5 0
3 years ago
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