All categories

3 years ago

The base of a triangle is seven less than twice its height. If the area of the triangle is 102 cm2, find the length of the base.

Mathematics

2 answers:

arlik [135]3 years ago

7 0

Answer:

17 cm

Step-by-step explanation:

Area = 1/2(base)(height)

the base is seven less than twice the height, so

b = 2h-7

try to substitute for one of the variables, because it is much easier to solve for them.

b = 2h-7

b+7 = 2h

(b+7)/2 = h

Area = 102

102 = 1/2(b)(b+7)/2

408 = (b)(b+7)

408 = b^2+7b

b^2+7b-408=0

(b+24)(b-17)=0

b = -24 or b = 17

since length can't be a negative number, the length of the base is 17 cm

Shalnov [3]3 years ago

5 0

Answer:

195

Step-by-step explanation:

You might be interested in

What are or is function? <br>(Please explain in you your word)

podryga [215]

Answer:

In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers.

Step-by-step explanation:

8 0

3 years ago

Please I need help asap.

sukhopar [10]

Answer:

i cant see the question really well,can you plz send another copy

Step-by-step explanation:

8 0

3 years ago

Como se representa un numero par

BartSMP [9]

hay numero pares e impares que son enteros y los pares son tosodo los que se pueden dividir entre dos siempre y cuando de numeros enteros

5 0

3 years ago

..............................

Kruka [31]

Answer:

$x=17$

Step-by-step explanation:

$(6x+10)(x+17)(4x-34)$

$6x+10+x+17+4x-34=180$

Add:- $6x+x+4x=11x$

and $10+17-34=-7$

So, $11x-7=180$

Add 7 to both sides:-

$11x=187$

Divide both sides by 11:-

$\frac{11x}{11}=\frac{187}{11}$

$x=17$

<u>OAmalOHopeO</u>

8 0

2 years ago

Orlando is measuring the angles of a triangle. He measures the first two angles and gets 30° and 70°. What should be the measure

Andrei [34K]

The answer will be B because all three angles of the triangles add up to180 degrees, and we already know the total of two other angles are 100 degrees, which made the unknown angles have 80 degrees. Hope it help!

8 0

3 years ago

Read 2 more answers