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1 year ago

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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

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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docker41 [41]

$f'(x)=\dfrac2x$
$\implies f(x)=\displaystyle\frac2x\,\mathrm dx=2\ln|x|+C$

$f(\sqrt e)=5\implies 5=2\ln|\sqrt e|+C$
$\implies 5=\dfrac22\ln e+C$
$\implies C=4$
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2 years ago

The price of a ceramic bead necklace (Y) is directly proportional to the number of beads (x) on the necklace. Using the graph, w

Annette [7]

Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads

Step-by-step explanation:

(1, 0.80) represents the unit rate.

(25, 20) represents the price of a necklace with 25 beads.

$\frac{y}{x}$ = unit rate → $\frac{4}{5}$ = 0.80; $\frac{12}{15}$ = 0.80; $\frac{16}{20}$ = 0.80

Point (1, r) → (1, 0.80) represents the unit rate.

25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.

Hope this helps

8 0

1 year ago

Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what

Vlada [557]

Answer:

5:00 pm

Step-by-step explanation:

Let

x -----> the umber of hours

y ----> the total distance in miles

we know that

The distance is equal to the speed multiplied by the time

Find out the distance traveled by Ariel at 11:00 am

11:00 am-09:00 am=2 hours

45(2)=90 miles

so

<em>Ariel's linear equation is</em>

$y=45x+90$ ----> equation A

<em>Ariel's brother linear equation is</em>

$y=60x$ ----> equation B

Equate equation A and equation B

$60x=45x+90$

Solve for x

$60x-45x=90$

$15x=90$

$x=6\ hours$

Adds 11:00 am + 6 hours=17:00 =5:00 pm

6 0

2 years ago

A brand new filled can of chicken broth is 12 cm tall and has a radius of 5 cm. Michele uses some of the broth to cook and now t

Natalka [10]

To find the awnser, the equation would be: the volume of the can - the volume left

to find the value,we can use 3.14 for 丌

The volume of the can would be the base area (丌r^2)times it's height,which in this case the volume is:

3.14(5)^2×12
=3.14×25×12
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The volume left:
3.14(5)^2×4
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Thus,Mishka used:
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The answer is 628cm³

Hope it helps!

5 0

2 years ago

Read 2 more answers

The pilot in a helicopter tossed a life float down to a swimmer in the water. The height, h, of the float after time t seconds i

MissTica

Answer:

1.95secs

Step-by-step explanation:

Given the height of the float expressed as h(t) = -16t2 - 3t + 55.

The floats reach the swimmer at h(t) = 0

Substitute

0 = -16t^2 - 3t + 55.

16t^2 + 3t - 55 = 0

Using the general formula;

t = -3±√3²-4(16)(-55)/2(16)

t = 3±√9+3520/32

t = 3±√3529/32

t = 3+59.41/32

t = 62.41/32

t = 1.95

Hence it will take 1.95secs

4 0

1 year ago