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2 years ago

What is the length of side x,y, and z

Mathematics

1 answer:

Bezzdna [24]2 years ago

4 0

Answer:

X = $\sqrt{2}$ , Y = 3 , Z = 10

Step-by-step explanation:

using Pythagoras' identity in all 3 right triangles

X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

X = $\sqrt{2}$

middle triangle

Y² = 1² + X² = 1 + ( $\sqrt{2}$ )² = 1 + 2 = 3

triangle on right

Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10

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A landscaper is comparing the costs of potted plants from two nurseries. Nursery P charges $15 per plant plus a $50 delivery fee

photoshop1234 [79]

Answer:

The required number of plants is 10.

Step-by-step explanation:

Nursery P charges $15 per plant plus a $50 delivery fee on any order. Nursery Q charges $20 per plant and no delivery fee.

If x number of plants that must be delivered for the total cost to be the same at both nurseries, then

15x + 50 = 20x

⇒ 5x = 50

⇒ x = 10

Therefore, the required number of plants is 10. (Answer)

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3 years ago

The drama department needs to raise at least 575.00 for a trip to see a play they have already 163.00 if they sell candybars for

olga2289 [7]

Answer:

330

Step-by-step explanation:

575 - 163 = 412

412 / 1.25 = 329.6

Since we need to exceed the goal and we can only sell whole candy bars, we round 329.6 up to 330.

3 0

3 years ago

50 is 40% of what number

DENIUS [597]

50 / 0.40 = 125

To check your answer, 125 * 0.4 = 50

7 0

3 years ago

Read 2 more answers

A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the

vovangra [49]

Answer: (A) $A=300l-l^{2}$

(B) Length varies between 1 and 150

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

$2l+2w=600$

Area of a rectangle is calculated as

$A=lw$

Now, we have a system of equations:

$2l+2w=600$

$A=lw$

Isolate w, so we have l:

$2w=600-2l$

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) Function of area in terms of length is given by A = 300l - l²

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

The largest area the fence can enclose is 22500ft².

4 0

3 years ago

Ali finished his history assignment in 1/4

Lina20 [59]

Hello there!

For this you simply need to give both fractions a common denominator!

The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.

So:

1/4 --> ?/12 --> 1 (3) / 12 --> 3/12

2/3 --> ?/12 --> 2 (4) / 12 --> 8/12

Total amount of time means the sum (adding them together).

When adding fractions, you MUST have a common denominator! (Which is what we just did).

So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours

Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)

Hope this helped!

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3 years ago