All triangles have a total of 180° in them.
So to find x, simply take 50° and 100° from 180°:
x = 180 - 100 - 50
= 30°
So x = 30°, and thus option D
ABC ~ A’B’C’
So, AB=A’B’ , BC=B’C’ , AC = A’C’
Given, AB=15 and A’C’=4
So, AC = 4 , A’B’ = 15
Answer:
Step-by-step explanation:
function 1 : y = 4x + 5
In y = mx + b form, which is what ur equation is in, the slope can be found in the m position. So the slope of this function is 4.
function 2 : (1,6),(3,10)
slope = (y2 - y1) / (x2 - x1)
(1,6)...x1 = 1 and y1 = 6
(3,10)...x2 = 3 and y2 = 10
now we sub
slope = (10 - 6) / (3 - 1) = 4/2 = 2
B. Function 1, because the slope is 4 and the slope of function 2 is 2. <==
Given:
The dimensions:
Square pyramid
Square base: 2x2
1 out of 4 triangles: 1/2x2x5
4 triangles: 2x2x5
To find:
The SURFACE AREA of the square pyramid
Find answer:
Step 1
Find the area of the square base -
Square base:
SA = L x W
= 2 x 2
= 4
<em>The surface area of the square is 4 square inches</em>
<em></em>
Step 2
Find the area of the 4 Triangles:
We will use a different formula here, to find 1 triangle, we will have to do:
To find 2 triangles, we will do:
But to find 4 triangles in just 1 step, we will do:
Let's do it!
<em>The surface area of the 4 triangles are 20 square inches</em>
<em></em>
Step 3
Add answers to get FINAL ANSWER
Easy!
20+4=24
<h2>
Hence, the Surface Area of the Square Pyramid is 24 square inches</h2>
<em></em>
<em></em>
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
