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Gnom [1K]
2 years ago
7

Find the unknown side of the right triangle below. Round to the nearest tenth

Mathematics
2 answers:
dmitriy555 [2]2 years ago
4 0

Answer:

7.1

Step-by-step explanation:

5^2 + 5^2 = c^2

25 + 25 = c^2

50 = c^2

7.1 = c

shtirl [24]2 years ago
3 0

Answer:

B) 7.1 ft

Step-by-step explanation:

Two ways to go about this:

<u>Method 1:</u>

Recognize that since the side lengths are equal to each other, then the hypotenuse must be equal to 5√2 or about 7.1 feet since the triangle is a 45-45-90 triangle.

<u>Method 2:</u>

By using the Pythagorean Theorem, a^2+b^2=c^2, we have 5^2+5^2=c^2 --> 25+25=c^2 --> 50=c^2 --> 7.1≈c

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Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.
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The slope-point form of a line:

y-y_0=m(x-x_0)

The slope-intercept form of a line:

y=mx+b

1.

m=6,\ (4,\ 1)\to x_0=4,\ y_0=1

Substitute

y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}

2.

m=-5,\ (6,\ -3)

Substitute

y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}

3.

m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}

4.

m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}

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3 years ago
What is 24/5+167-29
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Select all choices which could lead to a biased result. randomly calling telephone numbers to ask if people are satisfied with t
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The will intersect at a point with a positive x coordinate.

We can tell this because they actually already have a shared space on the graph. If you plot the 3 points of g(x) given, you'll see that f(x) and g(x) both share the coordinate (1, 3). As a result, we know that they do intersect and it is where x (1) is a positive number.

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nikdorinn [45]

Answer:

178

Step-by-step explanation:

The area of the rectangle is 6x25=150.

The area of the two semicircles on the sides is equal to the area of one circle with a radius of 3, so the area is 3\pi ^{2} which is approximately 28.27.

150+28.27=178.27

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3 years ago
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