STEP - BY - STEP EXPLANATION
What to find?
The the value of secθ.
Given:
(4, 3)
⇒(x, y) = (4, 3)
Step 1
Draw a sketch.
Step 2
Substitute the values into the trig. ratio formula below.

From the sketch above, opposite = 3 and adjacent = 4

Step 3
Find the value of the hypotenuse side using Pythagoras theorem.
let h be the hypotenuse side.

Hence, hypotenuse = 5
Step 4
Substitute the values into the formula below:

But,

ANSWER
secθ= 5/4
tanθ=3/4
Answer:
78%
Step-by-step explanation:
Given the stem and leaf plot above, to find the median percentage for boys in the German test, first, write out the data set given in the stem and leaf diagram as follows:
40, 46, 46, 47, 69, 70, [78, 78,] 79, 82, 87, 90, 90, 95
The median value is the middle value in the data set. In this case, we have an even number of data set which are 14 in number.
The median for this data set would be the average of the 7th and 8th value = (78+78) ÷ 2 = 156/2 = 78
Median for boys = 78%
-2x - 13 = -3x - 5
Step 1: Combine like terms
x's go with x's (-2x and -3x). To do this add 2x to both sides
(-2x + 2x) - 13 = (-3x + 2x) - 5
(0) - 13 = (-x) - 5
- 13 = -x - 5
normal numbers go with normal numbers ( -13 and -5). To do this add 5 to both sides
(- 13 + 5) = -x + (- 5 + 5)
-8 = -x + (0)
-8 = -x
Step 2: Isolate x by dividing -1 to both sides (this will take the negative sign away from the x)

8 = x
x= 8
Hope this helped!
Answer:
72 cubic inches
Step-by-step explanation:
Volume of cone =
--1
Volume of cylinder =
--2
We are given that a cylinder should fit exactly inside the cone
On comparing 1 and 2 we can see:

Since we are given the volume of cone is 24 cubic inches .
So, 


Hence the volume of cylinder is 72 cubic inches
Option D is correct.
Answer:
Step-by The scale factor is the ratio that determines the proportional relationship between the sides of similar figures. For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor.-step explanation: