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2 years ago

A triangle can have sides whose lengths are 9cm, 16 cm, and

Mathematics

1 answer:

vodka [1.7K]2 years ago

5 0

Answer: (B) 8 cm

Step-by-step explanation:

A triangle has 3 sides.

In order for it to be a triangle, the sum of sides a and b must be greater than the length of side c.

Testing (A) 7cm:

7 + 9 > 16

16 > 16

False

Testing (B) 8cm:

8+9 > 16

17 > 16

True

Testing (C) 25cm:

9 + 16 > 25

25 > 25

False

Testing (D) 26cm:

9 + 16 > 26

25 > 26

False

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1.Suppose f(x)=6x^2+2x-7 and g(x)=4x-3.Find the value of f(5)/g(-3)

posledela

Answer:

-10.2

Step-by-step explanation:

f{5} = 6(5^2) + 2(5) - 7

g{-3}= 4(-3)-3

= 6(25) + 10 - 7

-12 - 3

= 150 + 10 - 7

- 15

= 153

-15

= -51

= -10.2

7 0

3 years ago

A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).

juin [17]

Answer:

A. $PR = 80.6 yd$

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

$PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$PR = \sqrt{(80 - 10)^2 + (10 - 50)^2}$

$PR = \sqrt{(70)^2 + (-40)^2}$

$PR = \sqrt{4,900 + 1,600}$

$PR = \sqrt{6,500}$

$PR = 80.6 yd$ (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

7 0

3 years ago

Consider all numbers consisting of four different digits all between 1 and 9 . How many of these are odd

Slav-nsk [51]

Answer:

1680

Step-by-step explanation:

Considering repeatition is not allowed.

We can use permutation to reach to the required answer.

Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.

Therefore, Total numbers = 5×8×7×6 = 1680

7 0

3 years ago

Help me pleaseeeeeeeeeeee

zavuch27 [327]

O.6 easy because of the answer that is why

4 0

3 years ago

A projectile is launched upward from ground level with an intentional speed of 98 m/s. How high will it go? when will it return

viktelen [127]

Let h(t) represent the height of the projectile after t seconds. If the projectile is being launched from the ground, then h(0)=0, and h(t)=-4.9t²+98t. When the equation is in this form, the maximum height is determined by -98/2(-4.9), or after 10 seconds. Thus
-4.9(100)+98(10)=490 m as the highest point of the projectile
Then, when it hits the ground, h(t)=0, so
0=-4.9t²+98t
98t=4.9t²
4.9t=98
t=20
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8 0

3 years ago