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3 years ago

What’s the value of x

Mathematics

2 answers:

lubasha [3.4K]3 years ago

6 0

The answer is 3radical 2

jenyasd209 [6]3 years ago

4 0

Answer:

The correct answer is last option 3√2 units

Step-by-step explanation:

From the figure we can see that two small right angled triangle.

These two triangle combined to form a large right angled triangle.

To find the value of x

Consider the small triangle with hypotenuse x and one side 3 units.

The angles of this triangle be 45°, 45° and 90°, then the sides are in the ratio 1 : 1 : √2

Therefore we can write,

3 : 3 : x = 1 : 1 : √2

x = 3√2

The correct answer is last option 3√2 units

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Need help on the last problem

mylen [45]

no. of right answers = 60

no. of wrong answers = 40

6 0

3 years ago

Diameter is 22.5m. Calculate the area (round your answer to 2 decimal places), Use 3.14 for Pi

alexgriva [62]

Answer:

397.61m

Step-by-step explanation:

A = 1

4πd^2 = 1

4 x π x 22.52 = 397.60782

4 0

3 years ago

The mean cost for a pint of frozen yogurt is $1.50, with a standard deviation of $0.10.

djverab [1.8K]

Answer:

The correct answer is:

0.01$ (c)

Step-by-step explanation:

Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:

$s = \sqrt{\frac{\sum(x - \bar x)}{n} } \\where:\\x = sample\ \\\bar x\ = mean\\n\ = number\ of\ samples\$

Variance is a measure of the squared differences from the mean.

Variance is simply the square of the standard deviation. It is mathematically shown as:

$s^2 = \frac{\sum(x - \bar x)}{n} }$

Now in our example,

Stabnard deviation = $0.10

Variance = (standard deviation)²

Variance = (0.10)²

Variance = $0.01

6 0

3 years ago

John's parents purchased their first home in the 1980s with a 30-year

slega [8]

Answer:

Option A,$ 1,832.91 is correct

Step-by-step explanation:

The monthly payment can be computed using the below pmt formula i excel shown below:

=pmt(rate,nper,-pv,fv)

rate is the monthly rate on the mortgage which is 17.5%/12=0.014583333

nper is the number of months of payment i.e 30*12=360

pv is the amount of the loan which is $125,000

fv is the total amount of repayment which is unknown

=pmt(0.014583333 ,360,-125000,0)=$ 1,832.91

The correct option is A,$ 1,832.91 which is the amount of money they need to pay back on the mortgage for 360 months

7 0

2 years ago

You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights ar

UNO [17]

Complete Question:

You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.

The initial heights are shown.

Write a system of linear equations that represents this situation.

Answer:

$s(x) = 8 + 4x$

$h(x) = 14 + 6x$

Step-by-step explanation:

Given

Spruce Tree (s):

$Initial\ Height = 8$

$Growth = 4$ (yearly)

Hemlock Tree (h):

$Initial\ Height = 14$

$Growth = 6$ (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

$Equation = Initial\ Height + Growth * x$

For Spruce Tree (s):

$s(x) = 8 + 4 * x$

$s(x) = 8 + 4x$

For Hemlock Tree (h):

$h(x) = 14 + 6 * x$

$h(x) = 14 + 6x$

Hence, the equations are $s(x) = 8 + 4x$ and $h(x) = 14 + 6x$

3 0

2 years ago