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3 years ago

11

1. Eric and four of his friends are taking a trip across the New York State

1 answer:

Valentin [98]3 years ago

4 0

Answer:

a. $1.60

b. $8/3 which is about $2.67

Step-by-step explanation:

a. five friends in total. 8/5 = 1.6

b. three friends left. 8/3 =~ 2.67

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Which one is distributive property

faust18 [17]

Answer:

G

Step-by-step explanation:

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3 years ago

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If (5x-3y)²=0, then x/y=?

alexandr1967 [171]

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Given

(5x - 3y)² = 0, then

5x - 3y = 0 ( add 3y to both sides )

5x = 3y (divide both sides by 5 )

x = $\frac{3}{5}$ y ( divide both sides by y )

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Marrrta [24]

Given:

A figure of a circle and two secants on the circle from the outside of the circle.

To find:

The measure of angle KLM.

Solution:

According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.

Using intersecting secant theorem, we get

$\angle KLM=\dfrac{1}{2}(Arc(JON)-Arc(KM))$

$(3x-4)=\dfrac{1}{2}(271-(x+6))$

$(3x-4)=\dfrac{1}{2}(271-x-6)$

Multiply both sides by 2.

$6x-8=265-x$

Isolate the variable x.

$6x+x=265+8$

$7x=273$

Divide both sides by 7.

$x=\dfrac{273}{7}$

$x=39$

Now,

$\angle KLM=(3x-4)^\circ$

$\angle KLM=(3(39)-4)^\circ$

$\angle KLM=(117-4)^\circ$

$\angle KLM=113^\circ$

Therefore, the measure of angle KLM is 113 degrees.

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3 years ago

Simplify the expression

skelet666 [1.2K]

This is the expression simplified:

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3 years ago

The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of a bridge is 1270 ft long and

deff fn [24]

Answer:

Step-by-step explanation:

Given

span of bridge $L=1270\ ft$

height of span $h=157\ ft$

Equation of Parabola

$y=0.00039x^2$

$|x|$ i.e.

$-635$

$\frac{dy}{dx}=2\times 0.00039$

length of Arc $=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}$

$=\int_{-635}^{635}\sqrt{1+(\frac{dy}{dx})^2}$

$=\int_{-635}^{635}\sqrt{1+(0.00078x)^2}$

$=2\times \int_{0}^{635}\sqrt{1+(0.00078x)^2}$

$=2\times (660.08)$

$=1320.16\ ft$

4 0

3 years ago