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3 years ago

Use this picture to solve for X

Mathematics

1 answer:

Zepler [3.9K]3 years ago

8 0

Answer:

x=2

Step-by-step explanation:

i would set up a system of equation using the pythagorean theorem:

1^2+x^2=z^2

4^2+x^2=y^2

Add up these equations to get:

17+2x^2=y^2+z^2

But notice that

y^2+z^2=5^2

So you can substitute

17+2x^2=25

2x^2=8

x^2=4

x=2

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N is an integer -1 < n < 4 list the possible values of n

Agata [3.3K]

Answer:

0 1 2 3

Step-by-step explanation:

Since n is an integer

We have n = { 0 1 2 3 }

4 0

3 years ago

Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240

Alisiya [41]

Let's call the length of the rectangular fence $l$ and the width of the rectangular fence $w$ .

Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

$A = lw$

$P = 2l + 2w$

Now, let's substitute in the values we are given in the problem:

$240 = lw$

$68 = 2l + 2w$

Now, let's solve the system using substitution.

$240 = lw \Rightarrow \dfrac{240}{w} = l$

Solve for $l$ from the first equation

$68 = 2\Bigg( \dfrac{240}{w} \Bigg) + 2w$

Substitute this value into the second equation

$68 = \dfrac{480}{w} + 2w$

Simplify

$68w = 480 + 2w^2$

Multiply both sides of the equation by $w$

$2w^2 - 68w + 480 = 0$

Subtract $68w$ from both sides of the equation

$(2w - 48)(w - 10) = 0$

Factor

$2w - 48 = 0$ and $w - 10 = 0$

Use the Zero Product Property and solve both factors

$2w - 48 = 0 \Rightarrow 2w = 48 \Rightarrow w = 24$

$w - 10 = 0 \Rightarrow w = 10$

We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

$w = 24 \Rightarrow 240 = l(24) \Rightarrow l = 10$

$w = 10 \Rightarrow 240 = l(10) \Rightarrow l = 24$

Thus, our answer is Choice C, or 10 feet by 24 feet.

4 0

3 years ago

Help me ASAP! it’s a test due today. I’ll give 23 points!

sweet-ann [11.9K]

Answer:

its 57

Step-by-step explanation:

4³ = 4×4×4 = 64

2x3+1 = 7

64 - 7 = 57

4 0

3 years ago

A square has a perimeter of 76 inches. Complete parts (a)-(c) (a) what is the length of each side? Each side has length of?

RideAnS [48]

a - side of the square

4a - the perimeter of a square

76 in - the perimeter of a square

The equation:

4a = 76 <em>divide both sides by 4</em>

a = 19 in.

<h3>Answer: Each side has length 19 inches.</h3>

7 0

4 years ago

An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. Which expression should be used to fi

Simora [160]

Answer:

The answer is 48(0.55) x 48

8 0

3 years ago

Read 2 more answers