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Ludmilka [50]
3 years ago
10

Last year ratchel contributed $105 each month toward her 401(k) account. If her employer matched 17% of her contribution,what wa

s the total amount contributed to the 401(k) at the end of the year?
Mathematics
1 answer:
Veronika [31]3 years ago
5 0
Amount she contributed
105×12 months = 1260

Her employers contributions per month
0.17×105=17.85

Amount contributed for the year
17.85×12=214.2

The total amount contributed to the 401(k) at the end of the year is
1,260+214.2=1,474.2

Hope it helps!
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All together the three girls earned $7.65.
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If a= 2ft and c= 11ft. Find the missing side of the right triangle
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Answer:

\sqrt{117} or 3\sqrt{13}

Step-by-step explanation:

The formula for finding the any side of the triangle is

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We know that a=2 and c=11, so we can go ahead and plug those into the formula.

2^{2}+b^{2} =11^{2}

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2 years ago
Are of quadrilateral
koban [17]

Answer:

Area of Quadrilateral = 289.57 sq.cm

Step-by-step explanation:

First of all, let us understand what is a Quadrilateral?

A quadrilateral is a polygon with four sides. A quadrilateral is a closed two-dimensional figure formed by joining the four points among which three points are non-collinear points.

Given,

Length of sides :

AB = 7.5 cm

BC = 11.7 cm

CD = 15.6 cm

AD = 18 cm

and given , the Angle between BCD is 90 degrees and the angle between BAD is 90 degrees.

It implies that the TRAINGLES BCD and BAD are Right angled triangles

So, the length of BD can be found using Pythagorean theorem

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

From the Triangle of BCD,

a= BC

b=CD and

c= BD

Therefore, The length of BD =

c=\sqrt[2]{(11.7^{2})+(15.6 x^{2}) }

c = \sqrt{380.25}

c = 19.5 cm

Hence, c= BD=19.5 cm

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1/2*(diagonal)*(sum of height of two triangles)

Here, Diagonal = Length of BD = 19.5 cm

Height (h1) = BC = 11.7 cm

Height ( h2) = AD = 18 cm

Therefore, Area = 1/2*19.5*(11.7+18)

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Refer more about Area at below link:

https://brainly.in/question/2466686

#SPJ10

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