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2 years ago

Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?

Mathematics

1 answer:

lutik1710 [3]2 years ago

8 0

18 cm is correct .

Step-by-step explanation:

The sum of two smaller sides is greater that the largest side.

It is given that the two sides of a triangle measure 8 cm and 15 cm.

Case 1: Let 8 cm and 15 cm. are smaller side. So,

Third side < 8 + 15

Third side < 23

It means 3rd side must be less than 23

Case 2: Let 15 cm is the largest side.

15 < Third side + 8

15 - 8 < Third side

7 < Third side

It means 3rd side must be greater than 7.

Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.

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The equation of a circle is given below.

BARSIC [14]

Given:

The equation of the circle is $x^2+(y+4)^2=64$

We need to determine the center and radius of the circle.

Center:

The general form of the equation of the circle is $(x-h)^2+(y-k)^2=r^2$

where (h,k) is the center of the circle and r is the radius.

Let us compare the general form of the equation of the circle with the given equation $x^2+(y+4)^2=64$ to determine the center.

The given equation can be written as,

$(x-0)^2+(y+4)^2=64$

Comparing the two equations, we get;

(h,k) = (0,-4)

Therefore, the center of the circle is (0,-4)

Radius:

Let us compare the general form of the equation of the circle with the given equation $x^2+(y+4)^2=64$ to determine the radius.

Hence, the given equation can be written as,

$x^2+(y+4)^2=8^2$

Comparing the two equation, we get;

$r^2=8^2$

$r=8$

Thus, the radius of the circle is 8

3 0

3 years ago

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Mater

Gala2k [10]

L = 2 W
B = L x W = 2 W²
Side Area = 2 W H + 2 L H = 2 H ( W + L ) = 6 H W
V = 2 W² H = 10
H = 5 / W²
Cost = 15 * 2 W² + 9 * 5/W
= 30 W² + 270/ W
C ` = 60 W - 270 / W²
= ( 60 W² - 270 ) / W² = 0
60 W² = 270
W ² = 270 : 60
W² = 4.5
W = √ 4.5 = 2.12
Cost (min) = 15 * 2 * 4.5 + 30 / 2.12 = 135 + 14.15 = $149.15
Answer: The cost of materials for the cheapest such container is $149.15.

8 0

2 years ago

Will mark brainliest

Lisa [10]

Answer:

31, 37, 43, 49, 55

for nth number the value is 31+6(n-1)

24th number, 169-31=138 and 138/6=23

6 0

2 years ago

Read 2 more answers

For the point P (-17,25) and Q(-10,30), fins the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.

Nonamiya [84]

Answer:

Distance = 8.6

M = (-13.5,27.5)

Step-by-step explanation:

Distance = $\sqrt{(x_{2 }- x_{1 })^2 + (y_{2 }- y_{1 })^2$

= $\sqrt{(-10_ }- (-17)_{ })^2 + (30_{ }- 25_{ })^2$

= $\sqrt{(-10_{ }+ 17_{ })^2 + 5^2_$

= $\sqrt{7^2+5^2}$

= $\sqrt{49+25}$

= $\sqrt{74}$

= 8.6

Midpoint = $(\frac{x_{2}+x_{1}}{2};\frac{y_{2}+y_{1}}{2})$

= (-10+(-17)) ÷ 2 ; (30+25) ÷ 2

= -27 ÷2 ; 55 ÷ 2

= -13.5, 27.5

3 0

2 years ago

I can't solve question 11 please help

hammer [34]

24 divided by 3 = 8
So if the barge takes only 2 hours during the return trip. We multiply 2 hours by 8 miles to get a total of 16 hours.

The answer is 16

7 0

2 years ago