4. The perimeter of a triangle is 105 inches. The longest side is 22 inches longer than the shortest side. The sum of the

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

Answer:

x = 45

y = 37

z = 23

Step-by-step explanation:

x + y + z = 105

x = z + 22

x + 15 = y + z

(z + 22) + 15 = y + z

37 = y

x + y + z = 105

(z + 22) + 37 + z = 105

2z = 46

z = 23

x + y + z = 105

x + 37 + 23 = 105

x = 45

You might be interested in

A triangular pane of glass has a height of 30 inches and an area of 270 square inches. what is the length of the base pane

Tems11 [23]

The equation for the area of a triangle is A= b*h /2. So, plug in your known variables, and you get 270in^2= b*30 /2. First you multiply by 2 to cancel out the division for 2, which gets you 540= b* 30. To get "b" by itself, divide both sides by 30, giving you 18=b.

To check this, plug in your new known variable, as 270= 18* 30 /2. This will equal as 270=270, confirming 18in as the correct measurement.

3 0

3 years ago

The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?

tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

Explanation:

Given:

Angle, θ = 30°

Height of the fence, h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = $\frac{perpendicular}{base} = \frac{height of the fence}{length of the shadow}$

$\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in$

Therefore, the length of the shadow is 124.7 in

5 0

3 years ago

Giải phương trình sau: sinx=1/2

cupoosta [38]

Answer: $\begin{bmatrix}\mathrm{Radians:}\:&\:x=\frac{\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi n\:\\ \:\mathrm{Degrees:}&\:x=30^{\circ \:}+360^{\circ \:}n,\:x=150^{\circ \:}+360^{\circ \:}n\end{bmatrix}$