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nexus9112 [7]
3 years ago
14

30 points

Mathematics
1 answer:
alina1380 [7]3 years ago
6 0
A savings account helps you save for retirement and college while a CD isn’t typically used for that. A savings account is much more beneficial because it is also an emergency fund when you need it.
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One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po
lutik1710 [3]

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y

When x = 8, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0

When x = 7, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}

Where;

h = The height at which the laser meets the wall

h = \dfrac{9 \times  7}{8} =7.875

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

y = \dfrac{9 \times  7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet

The height (in feet) at which the laser will impact the wall = 6.75 feet.

7 0
3 years ago
Please answer this correctly
Romashka-Z-Leto [24]

Answer:

5/6

Step-by-step explanation:

There are 5 numbers that fit the rule, 2, 4, 5, 6, 7. There are 6 numbers total so there is a 5/6 chance spinning on one of them.

7 0
3 years ago
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The top and bottom of a right rectangular prism are 4 inches long and 4 inches wide. What is true about the other faces (front,
vitfil [10]
16 square feet because they all ad up
5 0
2 years ago
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Giving 35 points.
Makovka662 [10]
Reflection over the y axis. Followed by a translation of 2 units down.
4 0
3 years ago
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The height of a triangle is 4 inches greater than the base. The area of the triangle is 70 square inches.
Alexxandr [17]

Answer: 10 inches.

Step-by-step explanation:

We have to solve a system of equations.

The formula to calculate a triangle area is A = (b.h)/2

where b is the base and h is the height. This will be our first equation.

Since the height is 4 inches greater than the base, the second equation will be: h = b+4

We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:

70 = (b . (b+4)) / 2

70 . 2 = b² + 4b

140 = b² +4b

0 = b² + 4b - 140

The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.

5 0
3 years ago
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