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MaRussiya [10]
3 years ago
13

Alina has just received 333 video games for her birthday to add to her existing 121212 video games. A week later she went to the

thrift store and doubled her video games. Another week later she bought 555 more games.
Write a numerical expression with parentheses for the total number of video games Alina has now.
Do not simplify your expression.
Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0
((121212+333)*2)+555=total

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Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in
jolli1 [7]

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

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Virtual Nerd™: How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
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Answer:

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Step-by-step explanation:

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32.79 divided by 3.1
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Answer:

10.5774194, you can round up as many ways as you want.



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3 years ago
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Linn is making cookies. Each batch of cookies
Pachacha [2.7K]

Answer:

4 cups of sugar require 14 cups of sugar

Step-by-step explanation:

Given

\frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar

Required

Determine the cups of flour for 4 cups of sugar

First, we need to determine the unit rate for 1 cup of sugar.

This is done by multiplying both sides by 4

4 * \frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar * 4

\frac{7}{2}\ cup\ flour = 1\ cup\ sugar

Next, we determine cup of flour for 4 cups of sugar.

This is done by multiplying both sides by 4

4 * \frac{7}{2}\ cup\ flour = 1\ cup\ sugar * 4

2 * 7\ cup\ flour = 4\ cup\ sugar

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<em>Hence;4 cups of sugar require 14 cups of sugar</em>

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