All categories

2 years ago

The height of a triangle is 6 inches. The area of the triangle is 45 square inches. What is the length of the triangle’s base?

Mathematics

2 answers:

brilliants [131]2 years ago

6 0

Answer:

Step-by-step explanation:

A if Triangle= 0.5×(b×h)

0.5×(b×6)=45

b×6=45÷0.5

b×6=90

b=90/6=15

arlik [135]2 years ago

5 0

Answer:

15 in

Step-by-step explanation:

(basexheight)/2=area

basex6=45x2

base=45/3

base=15

You might be interested in

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

5 0

3 years ago

In the figure below, mZ1=(x +48) and m2 2=2xº. Find the angle measures.

NARA [144]

Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°

6 0

3 years ago

Write the equation of a line with a slope of −2 and a y-intercept of 5. (2 points) Question 1 options: 1) −2x + y = 5 2) 2x − y

aleksandr82 [10.1K]

Answer:

3 is the answer

Step-by-step explanation:

8 0

3 years ago

WILL MARK BRAINLIST JUST HELP ME

alexdok [17]

Answer: