All categories

3 years ago

Part A is asking how long the bridge is and Part B is asking how expensive it would be if each foot it 1500

Mathematics

1 answer:

katrin [286]3 years ago

4 0

Answer:

(a)80 feet

(b)$120,000

Step-by-step explanation:

Part A

Intersecting Secant-Tangent Theorem

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

In the attached diagram, the theorem applied is:

$|AX|^2=|UX|*|TX|$

Comparing with our diagram:

|AX|=30 feet

|UX|=10 feet

Length of the Bridge,L

Therefore:

$30^2=10 X ($Length of the Bridge+10)$

900=10(L+10)

L+10=900/10

L+10=90

L=90-10=80 feet

Length of the Bridge=80 feet

Part B

If each foot costs $1500

Cost of the bridge=$1500*80=$120,000

You might be interested in

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

7 0

3 years ago

A blueprint has a scale of one eighth inequals1 ft. On the blueprint, a wall is drawn 2 and three eighths in long. What is the

katrin2010 [14]

19 feet

convert 2 $\frac{3}{8}$ into an improper fraction

2 $\frac{3}{8}$ = $\frac{19}{8}$

hence the length of the wall is 19 feet

8 0

3 years ago

Susan's elevation at the top of a mountain is 1,530 meters. After 4 hours of climbing down her elevation is 680 meters. What is

Nitella [24]

Answer:

C) -212.5

Step-by-step explanation:

I've done this question on a quiz before.

Hope I helped!! :D

4 0

3 years ago

From a point 18 feet from the base of a tower, a wire is stretched to an attachment 40 feet up the tower. A right triangle with

Tamiku [17]

To find the length of the wire, use the Pythagorean theorem

a^2 + b^2 = c^2
18^2 + 40^2 = c ^2
324 + 1600 = c^2
1924 = c^2
44 = c

The wire is approximately 44 feet.

8 0

4 years ago

37/16 rounded by the nearest hundredth.

gayaneshka [121]

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

6 0

3 years ago

Read 2 more answers