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

54 people are competing in an athletic event. The top 4 competitors receive prize money, with 1st being worth more than 2nd, 2nd

Elanso [62]

Answer:

sets the size of the drawing paper. For size A drawing paper

7 0

2 years ago

The population in Rochester, New York, was 219,773 people in 2000 and 210,565 people in 2010. By about what percent did the popu

garri49 [273]

The population shrank by 23.86762%

5 0

3 years ago

The table shows the results of spinning a four colored spinner 50 times. Find the experimental probability and express it as a d

gogolik [260]

Red is 20 and you spin it 50 times so 2/5 chance is red so that makes 3/5 chance not red

5 0

3 years ago

What is the sum or difference?

dlinn [17]

1. Ans: Option (B) $-6x^4$

Explanation:
Given: $2x^4 - 8x^4$
Take the common out:
=> $x^4(2 - 8)$

Hence: => $[tex]-6x^4$ [/tex] (Option B)

2. Ans: Option (D) $-3y^5$

Explanation:
Given: $6y^5 - 9y^5$
Take the common term(s) out:
=> $y^5(6-9)$

Hence: => $-3y^5$ (Option D)

3. Ans: Option (B) $9x^2 - 12x + 6$ quadratic trinomial

Explanation:
Given: $6 - 12x + 13x^2 - 4x^2$

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> $13x^2 - 4x^2 - 12x + 6$
=> $9x^2 - 12x + 6$ (Option B)

4. Ans: Option (C) $7.3x^2 + 0.8x + 1.3$

Explanation:
In order to find the total number of Common and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

Common guppies: $3.1x^2 +6.0x + 0.3$ 
Endler's guppies: $4.2x^2 - 5.2x + 1.0$
(add both)
-----------------------------------------------------------------
Total number: $7.3x^2 +0.8x + 1.3$
-----------------------------------------------------------------
Hence the ans is Option(C) $7.3x^2 + 0.8x + 1.3$

5. Ans: Option (D) $2x^2(133 - 18 \pi )$

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = $266x^2$

Now the area of the circular fountain:
Area of the Circular Fountain = $\pi r^2$
Since, r=6x
Therefore,
Area of the Circular Fountain = $\pi (6x)^2 = 36 \pi x^2$

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = $266x^2$ - $36 \pi x^2$
=> Final area of the Yard = $2x^2(133 - 18 \pi)$ (Option D)

6. Ans: Option (A) $56x^2$

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = $60x^2$

Now the area of the stadium:
Area of the stadium = 1x * 4x = $4x^2$

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= $60x^2$ - $4x^2$
=> Final area of the lot = $56x^2$ (Option A)

-i

4 0

3 years ago

Read 2 more answers

A train traveled 1360 miles in 16 hours. What was the average speed of the train in miles per hour?

notsponge [240]

Answer:

85 miles per hour

Step-by-step explanation:

5 0

3 years ago