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vlabodo [156]
2 years ago
14

Help plsssssssss ....

Mathematics
1 answer:
Rom4ik [11]2 years ago
6 0

Answer:

Arccos(0.9272) =0.383929333 radian

0.383929333 radian =(0.383929333*57.2957795)degrees

so, 21.99 degrees

Step-by-step explanation:

Rounding to the nearest we get 22 degrees

We know that,

1 radian is equal to 57.2957795

so we multiply the radian value 0.383929333 with it

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Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back
ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

3 0
3 years ago
What is the value of the expression 2.6 x 10 to the power of 9 divided by 1.3 x 10 to the power of 2
bazaltina [42]
(2.6 * 10^9) / (1.3 * 10^2) =
(2.6 / 1.3) * (10^9) / (10^2) =
2 * 10^7 or 20,000,000 <===
7 0
2 years ago
What is the value of f ( − 3a ), if f ( x ) = 2x 2 + 4x ?
gogolik [260]

Answer:

d. 18a² - 12a

Step-by-step explanation:

f(x) = 2x² + 4x

f(-3a) = 2(-3a)² + 4(-3a)

2(-3a)² + 4(-3a)

2(9a²) + (-12a)

18a² - 12a

8 0
3 years ago
What is the solution for the equation 5/3b^3-2b-5=2/b3-2
irinina [24]

Answer:

Option C is correct.

Step-by-step explanation:

Given Equation:

\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}

To find: Solution of the Equation.

Consider,

5(b^3-2)=2(3b^3-2b^2-5)

5b^3-10=6b^3-4b^2-10

6b^3-5b^3-4b^2+10-10=0

b^3-4b^2=0

b^2(b-4)=0

b² = 0   ⇒ b = 0

b - 4 = 0 ⇒ b = 4

Therefore, Option C is correct.

7 0
2 years ago
Read 2 more answers
How can you use expressions and models to determine if expressions are equivalent
Hunter-Best [27]

To check for equivalence, use properties of operations such as the Distributive Property. Two expression are said to be equivalent if they resulted in the same number after evaluation of each. You can both expand and factor expressions to generate equivalent expressions. 

6 0
3 years ago
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