Which expression is equivalent to 3/5x +3

It is 1.9 miles from a house to a restaurant and 1.2

stiks02 [169]

9514 1404 393

Answer:

2.2 miles

Step-by-step explanation:

The Law of Cosines can be used to figure this.

c² = a² +b² -2ab·cos(C)

c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348

c ≈ √4.811348 ≈ 2.193

It is about 2.2 miles across the water from the pier to the restaurant.

7 0

3 years ago

Which word describes the slope of the line?<br> positive<br> negative<br> zero<br> undefined

valkas [14]

Answer:

If it is horizontal then it is zero, if it is vertical then it is undefined

Step-by-step explanation:

horizontal= <------------->

^

vertical=| (up and down)

v

4 0

3 years ago

Read 2 more answers

Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from h

snow_lady [41]

Answer: 6700 meters

Step-by-step explanation:

From the question given, we are informed that Gephart is traveling from his house to the history museum and that the distance from home to the history museum is six and seven-tenths kilometers.

In order to know the distance in meters

that he will travel to the museum, we have to multiply the convert the distance given in kilometers to meters. This will be:

1000 meters = 1 kilometer

Therefore, 6 7/10km = (6 7/10 × 1000m)

= 6 7/10 × 1000

= 67/10 × 1000

= 67 × 100

= 6700 meters

He'll travel 6700 meters to the museum.

7 0

3 years ago

A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

so

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

3 years ago

This is a valid probability distribution because if you add together the probabilities their sum is 1

abruzzese [7]

Answer:

True

Step-by-step explanation:

7 0

2 years ago