All categories

3 years ago

The hypotenuse of a right triangle is 13 cm. one of the legs is 7 cm longer than the other leg. find the area of the triangle.

1 answer:

8 0

Let one side be=x,the longer side =x+7use pythagoras theoremH^2=b^2+h^2169=x^2+(x+7)^2169=2x^2+14x+490=2x^2+14x-1200=(2x-10)(x+12) x=5 or -12,since it is length x=5 the longer side=5+7=12confirmation169=144+25

You might be interested in

R(x) = 2√x s(x) = √x<br> (rs)(4) = ?

tigry1 [53]

Answer:

Step-by-step explanation:

5 0

3 years ago

Sara has $1.30 less than double what Billy does. Sara has $53.72. How much money does Billy have?

lilavasa [31]

Answer:

Billy has $27.51

Step-by-step explanation:

First let's set up an equation to solve this problem.

Assign a variable to Billy's amount. Let's make it x.

Then we just interpret the problem and solve:

2x - 1.30 = 53.72

+1.30 +1.30

----------------------------

2x = 55.02

(Divide by 2 on both sides)

----------------------------

x = $27.51

2x = Billy's amount doubled

2x - 1.30 = Taking away 1.30 from double Billy's amount

53.72 = Sara's amount

6 0

3 years ago

A bookcase has two shelves. The top shelf has 10 more than 1/3 the number of books on the bottom shelf. There are 12 books on th

kobusy [5.1K]

Answer: b.14

Step-by-step explanation:

We have two shelves, the top shelf $s_{t}$ and the bottom shelf $s_{b}$ .

Now, firstly we are told the top shelf has 10 more than 1/3 the number of books on the bottom shelf. This can be expressed as:

$s_{t}=10+\frac{1}{3}s_{b}$ (1)

Then, we are told there are 12 books on the bottom shelf:

$s_{b}=12$ (2)

Substituting (2) in (1):

$s_{t}=10+\frac{1}{3}(12)$ (3)

$s_{t}=10+\frac{12}{3}$ (4)

$s_{t}=14$ (5) This is the number of books on the top shelf

Hence, the correct option is b.

6 0

3 years ago

A unique source of water pollution contributing to water quality problems in the Ganges River is: A. raw sewage. B. disease-caus

horrorfan [7]

Is this a multiple choice answer? If not, the answer is E. Ash from human cremations

6 0

2 years ago

there are 18 bikes in the bike rack there are four more blue bikes than yellow bikes and two less yellow bikes and green bikes h

jeyben [28]

So
green bikes:20
yellow bikes:20. but don't really understand
blue bikes:22

8 0

3 years ago