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3 years ago

What is the midpoint between points 1,4 and 9,16

Mathematics

1 answer:

kondaur [170]3 years ago

3 0

Answer:

(5,10)

Step-by-step explanation:

Midpoint = (x1+x2)/2 , (y1+y2)/2

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What did johannes Kepler use to discover that the orbit of Mars is an oval

DENIUS [597]

Kepler believed in the Copernican system and sought the key to reconciling Tycho’s observations with a heliocentric model for the solar system. In addition to his mathematical genius, his philosophical contribution was huge - as described by Einstein: "[Kepler] had to realize clearly that logical-mathematical theorizing, no matter how lucid, could not guarantee truth by itself; that the most beautiful logical theory means nothing in natural science without comparison with the exactest experience. Without this philosophical attitude, his work would not have been possible." (from the introduction Einstein wrote for Baumgard & Callan's 'Johannes Kepler: Life and Letters' (1953)). Kepler's focus on fitting the exact observations from Tycho led him to abandon the idea that the planets had to move on combinations of circles, a bit of logical-mathematical theorizing that had held sway for 1800 years!

5 0

4 years ago

The two triangles shown are congruent. Find the value of x

shusha [124]

Answer:

x = 11

Step-by-step explanation:

right triangle ABC

using Pythagoras' identity

BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

BC = $\sqrt{625}$ = 25

Since the triangles are congruent then corresponding sides are congruent.

ST = BC , that is

3x - 8 = 25 ( add 8 to both sides )

3x = 33 ( divide both sides by 3 )

x = 11

4 0

2 years ago

Can someone help me with #19

AlexFokin [52]

9514 1404 393

Answer:

Step-by-step explanation:

The graph shows all of the sides of the figure aligned with the axes except side ST. Its length can be found using the distance formula:

d = √((x2 -x1)² +(y2 -y1)²)

d = √((7 -(-5))² +(-2 -3)²) = √(144 +25) = 13

Then the perimeter is the sum of the side lengths:

13 + 4 + 12 + 9 = 38

The perimeter of STUV is 38 units.

7 0

3 years ago

To safely cross a bridge, the most a delivery truck can weigh is 4 tons. The empty truck and driver weigh a total of 5,690 pound

brilliants [131]

Answer:

Truck can safely carry 2310 pounds of cargo.

Step-by-step explanation:

Given the safety limit of weight to cross the bridge safely is 4 tons.

1 ton is equal to 2000 pounds.

so, 4 tons are equal to 2000 $\times$ 4 = 8000 pounds

Now, given that

weight of empty truck and driver = 5690 pounds

To find:

Weight of cargo that the truck can safely carry ?

Solution:

Total weight of the truck is actually the combined weight of the empty truck, the drive and the cargo carried in it.

So, Total Weight allowed = 8000 pounds = 5690 pounds + Weight of Cargo

Weight of Cargo = 8000 - 5690 pounds

Weight of Cargo = 2310 pounds

Truck can safely carry 2310 pounds of cargo.

7 0

3 years ago

The perimeter of a rectangular garden is 100 feet (ft). the area of the rectangular garden area is 600 ft2. find the length and

svlad2 [7]

Let the length be x and the width be y:
Area=x*y=600
thus
x=600/y

Perimeter=2(L+W)
100=2(x+y)
substituting the value of x we obtain:
100=2(600/y+y)
solving for y we shall have:
50=600/y+y
50y=600+y^2
thus
y^2-50y+600=0
solving the quadratic we obtain:
y=20 or y=30
thus the length=30 ft and the width=20 ft

4 0

3 years ago

What is the midpoint between points 1,4 and 9,16​

What is the midpoint between points 1,4 and 9,16