Answer:

Step-by-step explanation:
The trigonometric identity is :

We need to express secθ in terms of tanθ.
The above equation becomes,

Hence, this is the required solution.
Answer:
A) 5.12mm³
Step-by-step explanation:
Step 1
Find the volume of the bigger pyramid
This is a triangular based pyramid.
The formula to use is given as Volume of Pyramid =
1/3 × Area of the triangle × Height
Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²
Volume of the large pyramid = 1/3 × 6mm² × 5mm
= 10mm³
We are given the length of the small pyramid as 4mm
We would be using was is known as scale factor to find the volume of the small pyramid
The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³
k = 4³/5³
k = Volume of small pyramid/ Volume of large pyramid
Volume of small pyramid = X
Volume of large pyramid = 10mm³
Hence,
4³/5³ = X/10
Cross Multiply
= 4³ × 10 = 5³ × X
X = (4³ × 10)/ 5³
X = 5.12mm³
Answer:
The correct option is 1.
Step-by-step explanation:
It is given than the area of the triangle ABC is 46cm².
Area of a triangle is

Base of the triangle is AB and height of the triangle is CD.



The area of the triangle is 46cm².



Therefore the length of side AB is 11.5 cm. Option 1 is correct.
<h2>
Answer:</h2>
The sale price of your ticket would be $9.22
<h2>
Step-by-step explanation:</h2>
First you subtract 20% off from $10.90
Which is $8.72 , then you add 5.75%
so $8.72 + 5.75% = $9.22
Hope this helps have a nice evening please give me brainliest