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3 years ago

You start at (1, -2). You move right 4 units and left 1 unit. Where do you end?

Mathematics

1 answer:

Flura [38]3 years ago

8 0

Answer:

(4,-2)

Step-by-step explanation:

You move right 4

1+4=5

then you move one left

5-1=4

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Walt has 160 stamps. He has 3 times as many U.S stamps as international stamps. How many U.S stamps does he have?

fenix001 [56]

The answer is D. I got that because I looked at each number, then divided each by 3. If you add that number plus the U.S. stamp, then it should equal 160 total. I made a chart to help.

6 0

3 years ago

State the sine and cosine of two unique angles that do not fall on an axis where the values are the same positive value. Give th

Anna007 [38]

Answer:

sin(30°) = 1/2 and cos(60°) = 1/2

Step-by-step explanation:

* Lets explain how to solve the problem

- In the first quadrant all the trigonometry functions are positive values

- We need two angles have same positive values of sine and cosine

- That means sin(x) = cos(y) = + ve value

∴ The two angles will lie on the first quadrant

- If sin(x) = cos(y), then angles x and y are complementary angles

- The sum of the measures of the complementary angles is 90°

∴ x + y = 90°

- In any right angle triangle

- Angle Ф is one of its acute angles, where Ф is opposite to the side

of length a , adjacent to the side of length b and c is the length of the

hypotenuse

- Angle β is the other acute angle, where β is opposite to the side

of length b , adjacent to the side of length a and c is the length of the

hypotenuse

- The sum of Ф and β is 90° ⇒ complementary angles

∵ sin Ф = opposite/hypotenuse

∵ cos Ф = adjacent/hypotenuse

∴ sin Ф = a/c and cos Ф = b/c ⇒ (1)

∵ sin β = opposite/hypotenuse

∵ cos β = adjacent/hypotenuse

∴ sin β = b/c and cos β = a/c ⇒ (2)

- From (1) and (2)

∴ sin Ф = cos β and cos Ф = sin β

* Now lets chose any two complementary angles

- If Ф = 30°, then β = 60°

∴ sin(30°) = 1/2

∴ cos(60°) = 1/2

* sin(30°) = 1/2 and cos(60°) = 1/2

# Remember you can chose any two angles their sum is 90°

6 0

4 years ago

A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet.What is an expression that

Goryan [66]

Answer:

$SA=592.50\text{ ft}^2$

Step-by-step explanation:

We have been given that a square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. We are asked to find the surface area of the square pyramid.

We will use surface area of square pyramid to solve our given problem as:

$SA=2a^2+4ah$ , where,

a = Length of each side of base,

h = Height of lateral face.

Upon substituting our given values in above formula, we will get:

$SA=2(7.5\text{ ft})^2+4(7.5\text{ ft})(16\text{ ft})$

$SA=2(56.25\text{ ft}^2)+480\text{ ft}^2$

$SA=112.5\text{ ft}^2+480\text{ ft}^2$

$SA=592.50\text{ ft}^2$

Therefore, the surface area of the given square prism would be 592.50 square feet.

6 0

3 years ago

In triangle FGH, mF is 94°, mG is 49°, and mH is 37°. The exterior angles of triangle FGH are J, K, and L, and they are adjacent

antiseptic1488 [7]

The answer is D, 131°.

The exterior angles theorem tells us that the measure of an exterior angle of a triangle is equal to the sum of the other two angles of the triangle. Since m∠G=94°, m∠K=180-94=131°.

8 0

3 years ago

7 less than 3 times a number is -81. Find the number

IrinaK [193]

Answer:

-24.6 repeating

Step-by-step explanation:

4 0

3 years ago