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MariettaO [177]
3 years ago
7

The sum of two numbers is 34. The smaller number is 20 less than the larger number. What are the numbers?

Mathematics
1 answer:
Leto [7]3 years ago
7 0

Answer:20 and 14

Step-by-step explanation:

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A rock is dropped from a bridge 320 feet above the river. The pathway that the rock takes can be modeled by the equation h= -16t
Marina86 [1]

Answer:

The rock will take about 4.5 seconds to reach the river

Step-by-step explanation:

* lets study the situation of the rock

- The rock is dropped means the initial velocity is zero

- The motion is free fall under earth gravity

- The rock dropped from a bridge 320 feet above the river

- The equation of the pathway is h = -16t² + 320

- When the rock reach to the ground the height will be zero

* Now lets substitute h by zero in the equation to find t

∵ h = -16t² + 320

∵ h = 0

∴ 0 = -16t² + 320 ⇒ add 16t² to both sides

∴ 16t² = 320 ⇒ divide both sides by 16

∴ t² = 320/16 = 20

∴ t² = 20 ⇒ take √ for both sides

∴ t = √20 = 2√5 ≅ 4.5 seconds

* The rock will take about 4.5 seconds to reach the river

4 0
3 years ago
Triangle X Y Z is shown. The length of X Z is 12, the length of Y Z is 11, and the length of Y X is 6.
LenaWriter [7]

Answer:

84 degrees

Step-by-step explanation:

Applying the Cosine Rule (Choice 2 is the correct one)  :-

12^2 = 11^2 + 6^2 - 2*11*6 cos Y

144 = 121 + 36 - 132 cos Y

cos Y = (121 + 36 - 144) / 132

cos Y = 0.09848

Y = 84.3 degrees

7 0
3 years ago
Read 2 more answers
If someone could please help me I’m confused thanks:)
Sedbober [7]
<h3>Answer:  x = 45</h3>

Work Shown:

x+x+90 = 180 .... all three angles of a triangle add to 180

2x+90 = 180

2x = 180-90

2x = 90

x = 90/2

x = 45

This is a 45-45-90 right triangle. We also consider it an isosceles right triangle because the base angles (45) are equal.

3 0
3 years ago
Devaughn's age is three times Sydney's age. The sum of their ages is 80. What is Sydney's age?
Gekata [30.6K]
U times any number by 3 and see witch ones the closest
27x3=81 that's what I think and that's the closest
6 0
3 years ago
Read 2 more answers
What is the y intercept for the equation:<br> y = -8x^2 + 3x - 7
slega [8]

Answer:

The y intercept for the equation is (0,-7)

6 0
3 years ago
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