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BigorU [14]
1 year ago
5

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest poss

ible whole-number length of the unknown side? 16 inches 17 inches 24 inches 25 inches
Mathematics
2 answers:
julia-pushkina [17]1 year ago
4 0

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$

$c^2 > (9)^2 +(14)^2$

$c^2 > 81 +196$

$c^2 > 277$

c > 16.64

Therefore the smallest possible whole number is 17 inches.

True [87]1 year ago
3 0

Answer:

B)17

Step-by-step explanation:

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The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the in
Colt1911 [192]

Answer:

Let x be the value of the house before increase

Since it's increases add 7% to the overall 100%

107/100x = 749000

x = 700000

The value of the house before increase is £700000.

Hope this helps.

4 0
2 years ago
Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars.which expression repre
statuscvo [17]

The expression 5h+8 represents Harriet's gross pay each day.

Step-by-step explanation:

Given,

Gross pay of Harriet = 35h + 56

This expression represent Harriet's pay for 7 day.

Harriet's gross pay per day = \frac{Gross\ pay}{Number\ of\ days}

Harriet's gross pay per day = \frac{35h+56}{7}

Harriet's gross pay per day = \frac{35h}{7}+\frac{56}{7}

Harriet's gross pay per day = 5h+8

The expression 5h+8 represents Harriet's gross pay each day.

Keywords: division, addition

Learn more about division at:

  • brainly.com/question/106975
  • brainly.com/question/10712420

#LearnwithBrainly

4 0
2 years ago
You drive 30 miles due east in a half hour. Then, you turn left and drive 30 miles north in 1 hour. What are your average speed
garri49 [273]
Original position: P1=(0,0)
<span>You drive 30 miles due east in a half hour: x=+30 miles, t1=1/2 hour=0.5 hours
</span><span>Then, you turn left and drive 30 miles north in 1 hour: y=+30 miles, t2=1 hour
Rectangular coordinates of final position: P2=(x,y)→P2=(30,30)
Total time: t=t1+t2=0.5 hours+1 hour→t=1.5 hours

Average speed: S ave=d/t
Total distance: d=x+y=30 miles+30 miles→d=60 miles
S ave = 60 miles / (1.5 hours)
S ave = 40 miles/hour

Velocity is a vector, the magnitude of this vector is the magnitude of the vector of change of position dividing by the total time t
The vector of change of position: s=P1-P2=(30,30)-(0,0)=(30-0,30-0)→
s=(30,30) 
Magnitude of vector s=sqrt[30^2+30^2]=sqrt[30^2*2]=sqrt[30^2]*sqrt(2)
Magnitude of vector s=30*sqrt(2) miles

Magnitude of velocity vector = Magnitud of vector s / t
Magnitude of velocity vector = [30*sqrt(2) miles] / (1.5 hours)
Magnitude of velocity vector = 20*sqrt(2) miles / hour
Magnitude of velocity vector=20*1.4142 miles / hour
Magnitude of velocity vector=28.284 miles/hour

Polar coordinates of your position=(r, theta)
r=Magnitude of vector s=30*sqrt(2) miles
theta=tan^(-1) (y/x) = tan^(-1) [(30 miles) / (30 miles)]
theta=tan^(-1) (1)→theta=45°=Pi/4 (Pi=3.1416)
Polar coordinates of your position: ( 30*sqrt(2) miles, 45°)
Polar coordinate of your position: ( 30*sqrt(2) miles, Pi/4 )

Answers:
Average speed: 40 miles / hour
Velocity: 20*sqrt(2) miles / hour = 28.284 miles / hour
Rectangular coordinates of your position = (30,30)
Polar coordinates of your position=(30*sqrt(2) miles,45°)
Polar coordinates of your position=(30*sqrt(2) miles,Pi/4)</span>
4 0
1 year ago
The article points out that caffeine in reasonable amounts of coffee does not appear to be a problem, but "the research is typic
ale4655 [162]
The first one is 500
the second one is 3
6 0
2 years ago
Read 2 more answers
Find the value of 200/33 up to one place decimal.​
Sergio [31]

Answer:

6.1

Step-by-step explanation:

6.06060606061

and you round up making it 6.1

7 0
1 year ago
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