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3 years ago

Simplify: 4/5 - 1/3 A. 3/15B. 5/15C. 7/15D. 3/2

Mathematics

1 answer:

ipn [44]3 years ago

4 0

Answer:

7/15

Step-by-step explanation:

4/5 - 1/3

multiply one side by 3 and the other by 5

12/15 - 5/15

7/15

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Leeza is making labels in the shape of parallelograms each label has an area of 18 square centimeters and a base of 6 centimeter

Alenkinab [10]

Answer:

3cm

Step-by-step explanation:

A parallelogram is quadrilateral that has two pairs of parallel sides. The opposite sides equal in length

Area of a parallelogram = base x height

18cm² = 6cm x height

height = 18cm² / 6cm = 3cm

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3 years ago

Write a third degree polynomial function that has real zeros -1, -2 and 4

ra1l [238]

Answer:

f(x) = $x^{3} - x^{2} - 10x -8$

Step-by-step explanation:

All you have to do is multiply (x + 1)(x + 2)(x - 4)

You should get $x^{3} - x^{2} - 10x -8$

So, f(x) = $x^{3} - x^{2} - 10x -8$

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3 years ago

An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla

Marat540 [252]

Answer:

2.3 degrees.

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.

$tan(\theta)=\frac{60}{1500}$

$\theta=\tan^{-1}(\frac{60}{1500} )$

$\theta=\tan^{-1}(0.04)$

$\theta=2.290610042639$

Therefore, the airplane must ascend 2.3 degrees to clear the pole.

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3 years ago

Three business associates are at their favorite local café for lunch. They have finished their meals and just received their bil

telo118 [61]

Customer #2 has the smallest total bill, including tax and tip.
Choice A, 1.06b + 0.16(1.06b), is correct.
Customer 3's bill is approximately 10% less than customer 1's bill.
Customer 2 leaves the bigger tip.

For customer #1:
(1.06(12.95))(1.15) = 15.79; the tip is 0.15(1.06(12.95)) = 2.06.
For customer #2:
1.06x = 11.65; x = 10.99; 20% tip = 0.2(10.99) = 2.20; total = 11.65+2.20 = 13.85.
For customer #3:
1.06(11.50) + 0.18(11.50) = 14.26; the tip is (0.18)(11.50) = 2.07.

Customer 3 spends 15.79-14.26 = 1.53 less than customer #1, which is 1.53/15.79 = 0.097 ≈ 10% less.

4 0

4 years ago

Find the value of x in the figure below. Assume that the lines are parallel

Andreas93 [3]

C

work:

75 is equal to 2x+15

75-15 = 60

60/2 = 30

x=30

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3 years ago

Simplify: 4/5 - 1/3 A. 3/15B. 5/15C. 7/15D. 3/2​

Simplify: 4/5 - 1/3 A. 3/15B. 5/15C. 7/15D. 3/2