Answer:
Step-by-step explanation:
You need to use Pythagorean's Theorem to find the height of the pole. Namely,
and
and
and
so
pole = 112 cm
Answer:
The new width = 2 inches
Step-by-step explanation:
Original dimensions of the rectangular photo:
Length : width = 8 inches : 4 inches
Reduced dimensions of the rectangular photo:
Let
x = the new width
Length : width = 4 inches : x inches
Equate both dimensions to get the value of x
Length : width
8 inches : 4 inches = 4 inches : x inches
8 / 4 = 4 / x
Cross product
8 * x = 4 * 4
8x = 16
x = 16/8
x = 2 inches
The new width = 2 inches
X(x-7)=0
⇔x=0 or x-7=0
⇔x=0 or x=7
Question:
The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.
What is the value of h?
Answer:
A. 5
Step-by-step explanation:
Given
Solid Shape: Cone
Volume = 250/7
Diameter = Height
Required
Find the height of the cone
Provided that the diameter (D) and the height (h) are equal; This implies that
D = h ------ (1)
Also, Diameter (D) = 2 * Radius (r)
D = 2r
Substitute 2r for D in (1)
2r = h
Multiply both sides by ½
½ * 2r = ½ * h
r = ½h
Volume of a cone is calculated by;
Volume = ⅓πr²h
⅓πr²h = 250/7
Substitute ½h for r

Take π as 22/7, the expression becomes

Open the bracket

Multiply both sides by 7


Multiply both sides by 3


Multiply both sides by 4



Divide both sides by 22


Take cube root of both sides
![h = \sqrt[3]{136.36}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%5B3%5D%7B136.36%7D)

(Approximated)
Answer:
The given triangle is an obtuse angled triangle.
Step-by-step explanation:
The measures of the given angle are:
∠1 = 17°, ∠2 = 103° and ∠3 = 60°.
OBTUSE ANGLE: The angle whose measure is more than 90° and less than 180° is an obtuse angle.
Now, Here, in the given triangle, ∠2 = 103° is an obtuse angle.
The triangle with a obtuse angle is known as an Obtuse Angled Triangle.
Hence, the given triangle is an obtuse angled triangle.