Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
Surface area of a pyramid =
area of base + area of triangular faces
Since it's a square based pyramid
It's surface area is
area of base + 4( area of one triangular face)
Since the square has equal sides
<u>For square base </u>
Area of a square = l²
where l is the length
From the question l = 5
So we have
Area of square base = 5² = 25ft²
<u>For one of the triangular face</u>
Area of a triangle = ½ × base × height
base = 5
height = 6
Area = ½ × 5 × 6 = 15ft²
So the surface area of the pyramid is
25 + 4(15)
= 25 + 60
We have the final answer as
<h3>Surface area = 85 ft²</h3>
Hope this helps you
Answer: v <= 1
Step-by-step explanation:
When you have a variable by a number, you do the opposite of multiplying, so you divide
Since there's only 14v you divide 14 from itself leaving just the variable
14 ÷ 14 = 1
You repeat this and divide on the other side
14 ÷ 14 = 1
Since you arent dividing by a negative on both sides, the arrow stays the same
v <= 1
Hope this helps!
To find the slope and the -intercept of the line, first write the function as an equation, by substituting for
y=10
y=0x+10
y=0x+10 , m=0
y=0x+10 , m=0 , b=10
m=0 , b=10
The slope of the line is m=0 and the y-intercept is b=10
Answer:
the last one
Step-by-step explanation:
Answer: x = -0.2651 and y = -0.9759
Step-by-step explanation:
Solution by substitution method
8x+5y= -7
-7x+6y= -4 = 7x-6y=4
Suppose,
8x+5y=-7→(1)
7x-6y=4→(2)
Taking equation (1), we have
8x+5y= -7
⇒8x= -5y -7
⇒x= -5y-7 / 8 →(3)
Putting x= -5y-7 / 8
in equation (2), we get 7x-6y=4
7(-5y-7/8)-6y=4
⇒-35y-49-48y=32
⇒-83y-49=32
⇒-83y=32+49
⇒-83y=81
⇒y= 81 / -83
⇒y= -0.9759→(4)
Now, Putting y= -0.9759 in equation (3), we get
x= -5y-7
x= -5(-0.9759)-7/8
⇒x= 4.8795-7/8
⇒x= -2.1205/8
⇒x= -0.2651
∴x= -0.2651 and y = -0.9759
