3 years ago

Area of a triangle is 1400 cm² the base of the triangle is 5 times the height what is the height of the triangle

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

7 0

Answer:

≈23.66

Step-by-step explanation:

Height ---> x

base ---> 5x

<em>Formula for area of triangle: (base*height)/2</em>

((5x)(x))/2 = 1400

$5x^{2}$ /2 = 1400

$5x^{2}$ = 1400 · 2 = 2800

$x^2$ = 2800/5 = 560

x= √560 ≈ 23.66

You might be interested in

I am doing a math project for Geometry. I am using Singapore Flyer as example for a circle. This is the information I know so fa

My name is Ann [436]

Answer:

Yea its correct! good job yea there are not any mistakes

Step-by-step explanation:

8 0

3 years ago

A 51 foot piece of wire is cut into 3 sections so that the first section is three times as long as the second section and the se

kirill [66]

Answer:

The length of the longest section x = 36 ft

Step-by-step explanation:

Total length of the wire = 51 ft

Let first section of wire = x

Second section of wire = y

Third section of wire = z

According to given data

x = 3 y & y = 4 z

Total length of the wire = x + y + z = 51

$y + 3 y + \frac{y}{4} = 51$

$\frac{17}{4} y = 51$

y = 12

x = 3 × 12 = 36

$z = \frac{y}{4} = \frac{12}{4} = 3$

Therefore the length of the longest section x = 36 ft

8 0

3 years ago

Read 2 more answers

The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which ine

Ivenika [448]

For this case, the first thing you should do is define a variable.
We have then:
x: number of passengers remaining who can board the plane.
We have as data:
1) They can board up to 149 passengers
2) There are 96 passengers currently aboard.
Writing inequality we have:
$x + 96 \leq 149
$
Answer:
An inequality that can be used to determine how many more people can board is:
$x + 96 \leq 149$