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3 years ago

Simplify the expression square root of 15•square17

Mathematics

1 answer:

alexira [117]3 years ago

5 0

Step-by-step explanation:

$\sqrt{15}\cdot\sqrt{17}=\sqrt{(15)(17)}=\sqrt{255}\\\\\text{Used}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$

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Please help I will mark brainly! Please help .

Rus_ich [418]

The answer is $31.50

8 0

4 years ago

Read 2 more answers

Suppose you rent a car using option 1 write an expression that gives total cost in dollars to rent a car for d days and m miles.

posledela

Answer:

The required expression for total cost: $0.17m+19.99d$

The cost for renting car for 2 days and driving 70 miles is $51.88

Step-by-step explanation:

Consider the table shown below which repented the required options.

Car Rental Prices :

Option 1 Option 2

$19.99 per day $50 fee

$0.17 per mi $0.17

Let d represents the number of days and m represents the number of miles.

you rent a car using option 1, For d days and m miles.

The required expression for total cost: $0.17m+19.99d$

Find the cost for renting car for 2 days and driving 70 miles

Substitute d=2 and m=70 in above expression.

$0.17(70)+19.99(2)$

$11.9+39.98$

$51.88$

Hence, the cost for renting car for 2 days and driving 70 miles is $51.88

5 0

3 years ago

A baseball is dropped from a glider 500 feet above the ground. The height (in feet) above the ground is modeled by the function

Sophie [7]

A) 436 ft

B) t = 5 sec

C) 5.60 s

Step-by-step explanation:

The height of the ball at time t is given by the equation

$h(t)=-16t^2+500$

where

$-16 ft/s^2$ is the acceleration of the ball (acceleration of gravity, downward)

+500 is the initial height of the ball, at time t = 0

Here we want to find the height of the ball after 2 seconds, so at a time of

t = 2 s

Substituting into the equation, we find:

$h(2)=-16\cdot 2^2+500=436 ft$

Here we want to find the time it takes for the ball to fall to a height of 100 feet above the ground, so the time t at which

h(t) = 100 ft

As stated in the text of the question, the height of the ball at time t is given by

$h(t)=-16t^2+500$

Since

h(t) = 100, we have

$100=-16t^2+500$

And solving for t we find:

$16t^2=400\\t^2=25\\t=\pm 5$

So, the correct solution is the positive one:

t = 5 sec

The ball reaches the ground when the height of the ball has became zero:

$h(t) = 0$

The height of the ball at time t is given by

$h(t)=-16t^2+500$

And substituting

h(t) = 0

We get

$0=-16t^2+500$

And solving the equation for t, we find the time t at which the ball reaches the ground:

$16t^2=500\\t^2=31.25\\t=\pm 5.6 s$

So, the correct solution is the positive one:

t = 5.60 s

3 0

4 years ago

The cost of 3 tacos and a juice is $7. The cost of 4 tacos and 2 juices is $10. If t = the cost of a taco and j = the cost of a

marin [14]

Answer:

t=2

j=1

Step-by-step explanation:

3 tacos and a juice is $7

3t+j=7

4 tacos and 2 juices is $10

4t+2j=10

We have a simultaneous equation. It can be solved either by substitution method or Elimination method. For the purpose of this question, the elimination method will be used

3t+j=7 Equation 1

4t+2j=10 Equation 2

To eliminate j, we multiply Equation 1 by 2, the coefficient of j in equation 2, so that in both equations, j can have the same coefficient.

2(3t+j=7)

6t+2j=14 Equation 3

We now have

4t+2j=10 Equation 2

6t+2j=14 Equation 3

We subtract equation 2 from equation 3, to eliminate j

6t-4t=2t

2j-2j=0

14-10=4

We have 2t=4

Divide both sides by 2

2t/2=4/2

t=4/2

t=2

Substitute t for 2 in equation 1, to get j

3t+j=7

3(2)+j=7

6+j=7

j=7-6

j=1

One taco cost $2 while 1 juice cost $2

3 0

3 years ago

Find two angles (in radians) whose sine ratio is...

frutty [35]

Hi there!

$\large\boxed{\frac{\pi}{3} \text{ and } \frac{2\pi}{3}}$

From the unit circle, we can locate the two values of sine Ф (y-value of the coordinate) at which sin Ф = √3/2.

The two values are Ф = π/3 and 2π/3.

8 0

3 years ago