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3 years ago

Help. Find the value of x to the nearest tenth

Mathematics

1 answer:

vodka [1.7K]3 years ago

6 0

I will assume that line 4 bisect line x exactly in half. This means that if we solve the last side of the triangle like seen in the pic below we will know what half of line x is

To find the length of the last side of the triangle (let's call this y) you must use Pythagorean theorem

$a^{2} +b^{2}=c^{2}$

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 4

b = y

c = 6

^^^Plug these numbers/variables into the theorem

$4^{2} +y^{2} =6^{2}$

solve for y

16 + $y^{2}$ = 36

$y^{2}$ = 20

x = √20

x ≈ 4.472

^^^This is only half of x so if you double it then it will get you the full length of x

4.472 * 2 = 8.944

8.9 (D)

Hope this helped!

~Just a girl in love with Shawn Mendes

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The scores on the entrance exam at a well-known, exclusive law school are normally distributed with a mean score of 200 and a st

ruslelena [56]

Answer:

the lowest passing score would be x = 298

Step-by-step explanation:

School wishes that only 2.5 percent of students taking test pass

We are given

mean= 200,

standard deviation = 50

We need to find x

The area under the curve can be found by:

2.5 % = 0.025

So, 1- 0.025 = 0.975

We need to find the value of z for which the answer is 0.975

Looking at the z-score table, the value of z is: 1.96

Now, using the formula:

z = x - mean/standard deviation

1.96 = x - 200/50

=> 1.96 * 50 = x-200

98 = x - 200

=> x = 200+98

x = 298

So, the lowest passing score would be x = 298

8 0

3 years ago

The value of a rare baseball card A appreciated by 20 percent over a five year period; over the next five years, the value plumm

lbvjy [14]

<h2>Answer:</h2>

<em><u>Percent value of A with respect to Percent value of B is,</u></em>

$30\%$

<h2>Step-by-step explanation:</h2>

In the question,

Let us say the value of the Baseball card A and B initially is = 100x

So, for Baseball card A in first 5 years percent increase = 20%

So,

Value after 5 years = 100x + 20% of 100x = 120x

<u>After 5 more years,</u>

Percent decrease = 50%

So,

<u>Value at the end of 10 years = 120x - 50% of 120x = 60x</u>

Now,

For Baseball card B, Percent increase in 10 years = 100%

So,

<u>Value of card B = 100x + 100% of 100x = 200x</u>

So,

<em><u>Percent value of A with respect to Percent value of B is,</u></em>

$\frac{60x}{200x}\times 100=30\%$

7 0

3 years ago

The moon is about 240,000 miles from earth what is the distance written as a whole number multiplied by the power of 10

algol [13]

24 times 10 with the exponent as 4

7 0

2 years ago

Read 2 more answers

Renee is simplifying the expression (7) (StartFraction 13 over 29 EndFraction) (StartFraction 1 over 7 EndFraction). She recogni

dsp73

Answer:

The correct option is commutative property.

Step-by-step explanation:

The expression that Renee is simplifying is:

$(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})$

It is provided that, Renee recognizes that 7 and $\frac{1}{7}$ are reciprocals, so she would like to find their product before she multiplies by $\frac{13}{29}$ .

The associative property of multiplication states that:

$a\times b\times c=(a\times b)\times c=a\times (b\times c)$

The commutative property of multiplication states that:

$a\times b\times c=a\times c\times b=c\times a\times b$

The distributive property of multiplication states that:

$a\cdot (b+c)=a\cdot b+a\cdot c$

The identity property of multiplication states that:

$a\times 1=a\\b\times 1=b$

So, Renee should use the commutative property of multiplication to find the product of 7 and $\frac{1}{7}$ ,

$(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})=(7\times\frac{1}{7})\times\frac{13}{29}=\frac{13}{29}$

Thus, the correct option is commutative property.

5 0

3 years ago

Read 2 more answers

What is the cost of operating a 3.00-w electric clock for a year if the cost of electricity is $0.0900 per kw · h ?

brilliants [131]

We must take into account the following change of units:
$1kw = 1000w

1 year = 365 days

1 day = 24 hours$
Applying the change of units we have that the electric consumption for 1 year is given by:
$(3) * (1/1000) * (365) * (24) = 26.28 kw * h
$
Then, the total cost is given by:
$(26.28) * (0.0900) = 2.3652
$
Answer:
the cost of operating a 3.00-w electric clock for a year is:
$ 2.3652

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3 years ago