All categories

3 years ago

What’s the length of the leg?

Mathematics

1 answer:

AveGali [126]3 years ago

3 0

Answer:

a = 4 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 3² = 5²

a² + 9 = 25 ( subtract 9 from both sides )

a² = 16 ( take the square root of both sides )

a = $\sqrt{16}$ = 4

You might be interested in

Jonas and Marisol were the only candidates for sixth grade class president. Jonas received 60 votes and Marisol received 90 vote

KatRina [158]

Answer:

36 girls voted for Marisol

Step-by-step explanation:

7 0

3 years ago

Help me please please please

Digiron [165]

Answer:

GPA ≈ 2.67

Step-by-step explanation:

Grade points are weighted by credit hours:

GPA = ∑(grade points×credit hours) / ∑(credit hours)

GPA = (3×2 +2×4 +4×3 +2×3)/(2 +4 +3 +3)

= (6 +8 +12 +6)/12 = 32/12 = 2 2/3

GPA ≈ 2.67

3 0

2 years ago

The larger triangle is a dilation of the smaller triangle with a center of dilation at (1,−1) . What is the scale factor of the

Elza [17]

I just took the test its C

4 0

4 years ago

Read 2 more answers

There are 5 girls and 5 boys in a chess club. The club holds a round-robin tournament in which every player plays against every

Bess [88]

<span>1. In how many games does a girl play against a boy?
A: Because there are 5 girls, each will play against 5 boys, so in total is 5*5 = 25 times.

2. </span><span>In how many games does a girl play against another girl?
A: In this case, we only need to calculate how many girl pairs are there among these 5 girls, and it become a combination problem which can solved by </span> $C^{2}_{5}=\frac{5*4}{2*1}=10$

3.The fraction of games "B vs B" should be the number of "B vs B" (which is 10) divide the total number of the games "B vs B" & "G vs G" & "B vs G" (which is 10+10+25=45, see the analysis in 1.A and 2.A), so the fraction should be 10/45=2/9

4.One person will have to play against 9 people at the tournament, and the total number of the games is 45, so the fraction should be 9/45 = 1/5

7 0

3 years ago

Read 2 more answers

6. Solve by factoring: 2x²-11x+14=0

Mariana [72]

Step-by-step explanation:

Solve 2x^2-11x+14=0 give me 2 ways to get the 2 values of x?

The first way is to make factors by middle-term splitting. You get (x-2)(2x-7)=0, so the solution is x=2,7/2.

The other way is to use the formula for the solution of roots. Roots= (-b+ rootD)/2a, (-b-rootD)/2a, if the equation is of the form ax^2+bx+c=0. Here D is the discriminant. D=b^2-4ac

How do I solve 12x^2+11x+2=0?

Solve for x. 5x3−2x2−47x−14=0?

How can I prove that x^2+2x+2=0?

Is the sequence X^2 + 2x -2 =0?

What are the steps to solve 2^(2x)-3(2^x) +2=0?

Lets assume your equation is of the form ax^2+ bx + c =0

First method :

By breaking 'b' factor of x into two parts using factors of 'ac' ( a *c)

like 2* 14 = 28 = 7* 4 ( b is 11 which could be splitted in values 7 and 4)

equation becomes 2x^2 -4x-7x+14 = 0

take out common factors 2x(x-2) -7 (x-2) = 0

which is (2x-7) (x-2) =0 ; x =2,7/2 are two values

Second method:

make equation in the form of (x+h)^ 2 - k = 0 ; then x+h = +sqrt(k) and -sqrt(k)

which will give x as -h+sqrt(k) , +sqrt(k)

2x^2 - 11x +14 =0 wil become x^2 -11/2 x + 7 = 0

which is (x-11/4)^2 + 7- 121/16 =0

(x-11/4)^2 = (121/16) - 7 = 9/16

x- 11/4 = 3/4 and -3/4

x = 14/4 and 8/4 = 7/2 and 2

3 0

2 years ago

Read 2 more answers