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2 years ago

Evaluate −x+| y | when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.

Mathematics

1 answer:

Mama L [17]2 years ago

5 0

Answer: = $\frac{17}{12}\quad \left(\mathrm{Decimal:\quad }\:1.41666\dots \right)$

Step-by-step explanation:

$-\frac{1}{3}+\left|-\frac{7}{4}\right|$

$=-\frac{1}{3}+\frac{7}{4}$

$=\frac{17}{12}$

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Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t

Sever21 [200]

Answer:

Part 1) The height of the triangle when θ = 30° is equal to $8.66\ ft$

Part 2) The height of the triangle when θ = 40° is equal to $12.59\ ft$

Part 3) The area of triangle with θ = 30° is less than the area of triangle with θ = 40°

Step-by-step explanation:

Part 1) What is the height of the triangle when θ = 30 ° ?

we have

$y=15tan(\theta)$

substitute the value of theta in the equation and find the height

$y=15tan(30\°)=8.66\ ft$

Part 2) What is the height of the triangle when θ = 40 ° ?

we have

$y=15tan(\theta)$

substitute the value of theta in the equation and find the height

$y=15tan(40\°)=12.59\ ft$

Part 2) Vance is considering using either θ = 30 ° or θ = 40 ° for his garden

Compare the areas of the two possible gardens

step 1

Find the area when θ = 30 °

The height is $8.66\ ft$

Remember that the area of a triangle is equal to the base multiplied by the height and divided by two

$A=(1/2)(30)(8.66)=129.9\ ft^{2}$

step 2

Find the area when θ = 40°

The height is $12.59\ ft$

Remember that the area of a triangle is equal to the base multiplied by the height and divided by two

$A=(1/2)(30)(12.59)=188.85\ ft^{2}$

Compare the areas of the two possible gardens

The area of triangle with θ = 30° is less than the area of triangle with θ = 40°

7 0

2 years ago

Can someone please help me with this?

Verdich [7]

The way this problem is stated is that you put 1 grain of rice on the first square, the second square has 2 grains of rice. The third square has 4 grains of rice and you keep on doubling from there. When you tell me there is a 0 square, I'm not sure what you mean.
That would mean (to me) that square 1 has 2 grains of rice
Square 2 has 4 grains of rice
Square 3 has 8 grains of rice
The table goes up to 64 squares on a chess board.
2^64 which is (rounded) to about 1.84 with 17 zeros behind the 1.84.
My calculator says the answer is 1.84 * 10^19
I think you want
2^64<<<<<answer.
Or maybe
y =R(x) = 2^x <<<< answer.
where the domain is 0 <=x <= 64 contained in the integers.

5 0

2 years ago

Your baseball team has won 6 games and lost 4 games. If the team does not lose any more games, how many games must the team win

irakobra [83]

You lost 4 but you don't loose anymore
You won 6 and you keep on winning more games.
Since you don't loose anymore games, in the ratio 2:1, you would replace the "1" with 4 and replace the 2 with 6+n.
the ratio is currently 6+n:4
Note that (6+n) has to be twice as much as 4.
The number twice as much as 4 is 8
therefore, 6+n is 8
and n = 2
You would have to win 2 more rounds.

4 0

2 years ago

Find the product of (x − 5)2. X2 10x 25 x2 − 10x 25 x2 − 25 x2 25.

Serggg [28]

Answer:

x^2 -10x+25

Step-by-step explanation:

(x − 5)^2

(x-5)(x-5)

FOIL

first x*x = x^2

Outer -5 *x = -5x

inner -5*x = -5x

last -5*-5 =25

Add them together x^2 -5x-5x+25

Combine like terms x^2 -10x+25

4 0

2 years ago

Read 2 more answers

An architect plans to draw a rectangular patio with segment LM representing one side of the rectangle. He wants to construct a l

crimeas [40]

The best and most correct answer among the choices provided by the question is the third choice .

In constructing a parallel line, "<span>Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn."</span>

I hope my answer has come to your help. God bless and have a nice day ahead!

4 0

2 years ago

Read 2 more answers