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3 years ago

What is the value of x in a 45-45-90 triangle and the hypotenuse is 4?

Mathematics

1 answer:

Temka [501]3 years ago

3 0

9514 1404 393

Answer:

x = 2√2 ≈ 2.83

Step-by-step explanation:

The side length of an isosceles right triangle is 1/√2 times the hypotenuse length. If x is the side length, then ...

x = 4/√2 = 4(√2)/2

x = 2√2 ≈ 2.83

You have not specified the form of the answer. Sometimes an exact answer (2√2) is required. Sometimes the answer is required to be rounded to tenths or hundredths.

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Alik [6]

Answer:

The answer most probably is 13.

Step-by-step explanation:

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2 years ago

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brian invests £4700 into his bank account he recieves 5.5% compound intrest how much will brian have after 3 years?

alexandr1967 [171]

Answer:

Brian will have £817.8

Step-by-step explanation:

Principal = £4700

interest = 5.5% = 0.055

n = 3 years

Amount = [(Principal * (1 + interest)ⁿ) - Principal]

Amount = [(4,700 * (1 + 0.055)³) - 4,700]

Amount = [(4,700 * (1.055)³) - 4,700]

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4 0

3 years ago

In a certain function, an output is 4 more than half its input.

patriot [66]

Answer:

x y

-10 -1

0 4

4 6

6 8

Step-by-step explanation:

an output is 4 more than half its input.

Input of a function is x and the output of a function is y

output y is 4 + half of input x

$y= \frac{1}{2} x + 4$

Now we complete the below table, plug in the value of x and find out y

x = -10 , $y= \frac{1}{2}(-10) + 4=-5+4 = -1$

x = 0 , $y= \frac{1}{2}(0) + 4=0+4 = 4$

x = 4 , $y= \frac{1}{2}(4) + 4=2+4 = 6$

x = 8, $y= \frac{1}{2}(8) + 4=4+4 = 8$

7 0

3 years ago

zhuklara [117]

Answer:

Step-by-step explanation:

We know that the value of 1 is 4,

So, there are 2 difference,

1 is 4

2 is 6

3 is 8

4 is 10

5 is 12

So, the first five terms is 4, 6 ,8 ,10, 12.

6 0

2 years ago

Cylinder 1 is congruent to cylinder 2. The dimensions of the cylinders are given inunits.Cylinder 1Cylinder 238What is the volum

lora16 [44]

Since the two cylinders are congruent, it means that their dimensions are exactly the same thing.

In other words, the radius of cylinder 1 is the same as that of cylinder 2, and the height of cylinder 2 is the same as that of cylinder 1. This is what it means for two solid shapes to be congruent.

Now, to find the volume of cylinder 2, we apply the frmula for the volume of a tyical cylnder:

$\text{Volume}=\pi\times r^2\times h$

Now,

radius of cylinder 2 = radius of cylinder 1 = 3

height of cylinder 2 = 8

Thus: r = 3, h= 8

Therefore:

$\begin{gathered} \text{Volume}=\pi\times r^2\times h \\ \text{Volume}=\pi\times3^2\times8 \\ \text{Volume}=\pi\times9^{}\times8 \\ \text{Volume}=\pi\times72 \\ \text{Volume}=72\pi\text{ cubic units} \end{gathered}$

Therefore the volume of cylinder 2 is 72pi cubic units (Option D)

6 0

11 months ago