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3 years ago

9

The track team ran smile and a quarter during their practice home many kilo meters did the team run

1 answer:

podryga [215]3 years ago

3 0

Answer:

Approx. 0.78

Step-by-step explanation:

1.25 mi

1 km = 0.621371 mi

1.25 * 0.621371 = 0.77671375 km

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Circle A has a radius of 21 meters . Circle B has a radius of 28 meters. Find the circumference if each circle in terms of pi

qwelly [4]

Answer:

Circle A= $42\pi$

Circle B = $56\pi$

Step-by-step explanation:

Circumference of a circle = $2\pi r$

Since you are given the radius, you put it in place of r

Circle A = $2 *\pi *28\\21*2 = 42\\\\42\pi$

Circle B= $\\2*\pi *28\\28*2 =56\\56\pi\\\\\\$

7 0

3 years ago

An h = 135-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to

Vikentia [17]

Answer:

171 foot

Step-by-step explanation:

We are given that

Height of tower=135 ft

AC=55 ft

Let x be the length of shortest length of wire.

The angle of inclination of mountain with horizontal = $32^{\circ}$

The angle between sides AB and BC= $90+32=122^{\circ}$

Exterior angle is equal to sum interior angles of a triangle on the opposite sides .

We have to find the value of x.

We know that law of cosine

$c=\sqrt{a^2+b^2-2ab cos\theta}$

Substitute the values in the given formula we get

$x=\sqrt{(135)^2+(55)^2-2(135)(55)cos 122}$

$x=170.64 ft$

Hence, the length of wire needed=171 foot

7 0

3 years ago

The length of a triangle is 3/2 units grater than its width. if the width is w whitch expression gives the perimiter of the rect

Wittaler [7]

Given the width of a rectangle = w

And the length given is $\frac{3}{2}$ units greater than its width.

So the length of the triangle = $(w+\frac{3}{2})$

We know that the perimeter of the rectangle is $2(length +width)$

So by plugging in the values of length and width in terms of w, we will get,

Perimeter = $2((w+\frac{3}{2})+w)$

= $2(w+\frac{3}{2}+w)$

We will add the like terms now.

$2(2w+\frac{3}{2} )$

Now we have to expand this expression by distributing 2, We will get,

$4w+(\frac{3}{2} )(2)$

$4w+\frac{(3)(2)}{2}$

$4w+\frac{6}{2}$

$4w+3$

So we have got the required perimeter of the rectangle in terms of w.

The perimeter is (4w+3) units.

7 0

3 years ago

How do I find x by using the square root property?

AleksandrR [38]

X^2=-80 divided by 8 both sides
X^2 =80i^2 (do you remember i^2=-1)
X=4i(square roof of 5)

7 0

3 years ago

HEEEEEEEEEEEEEEEEEEEEELP!!!! A line y=mx+b passes through point (16, −10) and is parallel to y=−34x+8.

ycow [4]

Answer:

$b=2$

Step-by-step explanation:

We know that the line passes through the point (16, -10).

And we also know that it is parallel to $y=-\frac{3}{4}x+8$

Notice that the slope of this line is -3/4

Remember that parallel lines have the same slope.

Therefore, the slope of our new line is also -3/4

Now, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Where <em>m</em> is the slope and (x₁, y₁) is a point.

So, let’s substitute -3/4 for <em>m</em> and (16, -10) for (x₁, y₁). This yields:

$y-(-10)=-\frac{3}{4}(x-16)$

Distribute:

$y-(-10)=-\frac{3}{4}x+12$

Simplify:

$y+10=-\frac{3}{4}x+12$

Subtract 10 from both sides:

$y=-\frac{3}{4}x+2$

This is in the form <em>y=mx+b</em>.

Therefore, our <em>b</em> is 2.

And our final answer is 2.

5 0

3 years ago