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2 years ago

What is the length of line segment YX? 8 units 8 StartRoot 3 EndRoot units 12 units 12 StartRoot 3 EndRoot units.

1 answer:

3 0

Length of line segment YX is distance of both the ends of it. The length of line segment YX is $8\sqrt{3}$ units.

<h3>What is length of a line segment?</h3>

The length of a line segment is the measurement of the distance of both the ends of it.

Given information-

In the rectangle $YVWX$ the length of line line segment YV is 24 units.

The rectangle $YVWX$ is shown in the image below.

The angle given in the figure is,

$m\angle X=30\\m\angle W=90\\m\angle V=60$

Now in the figure of rectangle shown below, the triangle XWV is the right angle triangle.

In this right angle triangle the tan of angle is the ratio perpendicular to the base. thus,

$\tan 60=\dfrac{24}{VW}\\\sqrt{3}=\dfrac{24}{VW}\\VW=8\sqrt{3}$

As the opposite side of a rectangle are equal. Thus, the length of line segment is VW is equal to the length of the line segment YX. Therefore,

$YX=VW=8\sqrt{3}$

Hence, the length of line segment YX is $8\sqrt{3}$ units. The option B is the correct option.

Learn more about the line segment here;

brainly.com/question/2437195

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When $n$ is divided by 10, the remainder is $a$. when $n$ is divided by 13, the remainder is $b$. what is $n$ modulo 130, in ter

Nostrana [21]

N = a (mod 10)

N = b (mod 13)

gcd(10,13) = 1

then

N = 10 bx + 13 ay (mod 130)

Where

10x + 13y = 1

-> (10x + 13) (mod 2) = 1 (mod 2)

-> y (mod 2) = 1

y = -3, x = 4

-> N = 40b – 39a (mod 130)

It is given that ra + sb should be non-negative:

N = 40b – 39a (mod 130)

N = 40b + (130 – 39)a (mod 130)

N = 40b + 91a (mod 130)

Therefore, N modulo 130, in terms of a and b is: N = 40b + 91a (mod 130).

8 0

3 years ago

Which expression is equivalent to ^4√16x^11y^8/81x^7y^6 ? Assume x > 0 and y = 0

ollegr [7]

For this case we have an expression of the form:
 $\sqrt[4]{16x^{11}y^8}/(81x^7y^6)$
To solve the problem, we must rewrite the expression using properties of exponents.
Rewriting the expression we have:
$\sqrt[4]{2^4x^8x^3y^8}/(81x^7y^6)$
Then, by root properties we have:
$2x^2y^2(\sqrt[4]{x^3})/(81x^7y^6)
$
Then, by power properties again:
$2(\sqrt[4]{x^3})/(81x^5y^4)$
Answer:
An expression that is equivalent is:
 $2(\sqrt[4]{x^3})/(81x^5y^4)$

3 0

3 years ago

An initial investment of $500 is made in an account which earns 6% interest compounded

IceJOKER [234]

Answer:

A = 500(1+6%/2)^2t

Step-by-step explanation:

Given the general compound interest formula A = P(1+r/n)^nt. With an initial investment of $500, and percent interest of 6% compounded semi annually(every six months/half a year/twice in one year). A = 500(1+6%/2)^2t .

i.e if given two years of compound interest, t=2. A = 500(1+6%/2)^2(2), 500(1+0.03)^4, 500(1.03)^4, 500(1.12550881), 500(≈1.1255) = 562.75

A = 562.75$ for two years

4 0

3 years ago

Maggie ordered pizza for the girl's soccer team. There are 14 girls on the team. Each pizza is cut into 8 slices, and Maggie ord

weeeeeb [17]

So first, you start out my doing 8x5, which equals 40. The next step you want to do is 40/14, which will give you 2 12/14. There will be 12 slices leftover.

3 0

3 years ago

In a recent poll of 1,200 homeowners in the United States, one in five homeowners reports having a home equity loan that he or s

Aleks04 [339]

Answer:

Interval estimate for the proportion of all homeowners in the United States that hold a home equity loan lie between (.17033 , .22967 ) or 17% to 22.9%

Step-by-step explanation:

Given -

In a recent poll of 1,200 homeowners in the United States, one in five homeowners reports having a home equity loan that he or she is currently paying off.

If one in five homeowners reports having a home equity loan then for 1200 homeowners = $\frac{1200}{5}$ = 240 homeowners reports having a home equity loan.