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Rudik [331]
3 years ago
12

Find the length of the third side of each triangle mark

Mathematics
1 answer:
Sedaia [141]3 years ago
5 0

Answer:

I'm going to use the Pythagoras theorem

1. hypotenus²= base²+height²

h²=80²+18²

h²=6400+324

√h²=√6724

hypotenuse= 82

2. 53²=45²+h²

2809=2025+h²

2809-2025=h²

784=h²

√784=√h²

h=28

3. 40²=b²+24²

1600=b²+576

1600-576=b²

√1024=√b²

b= 32

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P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a
Vika [28.1K]

Answer:

a = -86.

Step-by-step explanation:

By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:

P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0

-128 - 176 - 4a - 40 = 0

-4a = 128 +176 + 40

-4a = 344

a = -86.

3 0
3 years ago
What does BC equal ?
Mariulka [41]

Answer:

28

Step-by-step explanation:

bc = df x 2

14 x 2 = 28

I hope this helps

4 0
3 years ago
Simplify.
inn [45]

Answer:

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8 0
2 years ago
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi
gizmo_the_mogwai [7]
----------------------------------------------------------------------------------------------
Find the duration
----------------------------------------------------------------------------------------------
Time : 9:00am to 10:15am 
Duration: 1hour 15 mins or 1.25hours

----------------------------------------------------------------------------------------------
Find difference in distance travelled between the two cyclists.
----------------------------------------------------------------------------------------------
Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km

----------------------------------------------------------------------------------------------
Find the distance the cyclist traveled
----------------------------------------------------------------------------------------------
42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km

The slower cyclist traveled 17.5 km in the 1.25 hours

17.5 + 7.5 = 25 km

The faster cyclist traveled 25km in the 1.25 hours

----------------------------------------------------------------------------------------------
Find the speed of the slower cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km

The cyclist was traveling at 14km/h

----------------------------------------------------------------------------------------------
Find the speed of the faster cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km

The cyclist was traveling at 20km/hour

----------------------------------------------------------------------------------------------
Answer: The speed were 14km/h and 20 km/h
----------------------------------------------------------------------------------------------

8 0
4 years ago
Read 2 more answers
Three times a number plus five equals twenty
gladu [14]
3x + 5 = 20

x = 5

Hope this helps
8 0
3 years ago
Read 2 more answers
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