Answer:
12lbs
Step-by-step explanation:
let x be the amount of apples you need, then:
x-0.14x= 10 8/25
0.86x = 10 8/25
(10 8/25) : 86 * 100 = x
x=12
The surface area of the square pyramid is: 451 cm²
The lateral surface area of the square pyramid = 330 cm²
<h3>What is the Lateral Surface Area and Surface Area of a Square Pyramid?</h3>
Surface area = a² + 2al, where a is the base edge and l is the slant height.
Lateral Surface Area = 2al.
Given the following:
Surface area = a² + 2al = 11² + 2(11)(15)
Surface area = 451 cm²
Lateral Surface Area = 2al = 2(11)(15)
Lateral Surface Area = 330 cm²
Learn more about square pyramid on:
brainly.com/question/3688277
Answer:
First, we know that sin330 will be in the 4th quadrant, as it lies between 270 and 360 degrees
Step-by-step explanation:
To find the circumcenter, solve any two bisector equations and find out the intersection points. The given are <span>A(1,1), B(0,2), and C(3,-2).
Midpoint of AB = (1/2, 3/2) - You can get the midpoint by getting the average of x-coordinates and y-coordinates.
Slope of AB = -1
Slope of perpendicular bisector = 1
</span>Equation of AB with slope 1 and the coordinates (1/2, 3/2) is
<span>y - (3/2) = (1)(x - 1/2)
</span><span>y = x+1
Do the same for AC
</span>Midpoint of AC = (2, -1/2)
Slope of AC = -3/2
Slope of perpendicular bisector = 2/3
Equation of AC with slope 2/3 and the coordinates (2, -1/2) is
y - (-1/2) = (2/3)(x - 2)
y = -11/6 + 2x/3
So <span>the perpendicular bisectors of AB and BC meet
</span>y = x+1
y = -11/6 + 2x/3
To solve for x,
(-11/6 + 2x/3) = (x+1)
x= -17/2
Now get y by substituting
y = (-17/2) + 1
y = -15/2
The circumcenter is (-17/2, -15/2)
Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.
The given triangle is a right-angled triangle. This means that special trig identities can be applies
<u>These identities are as follows:</u>
sin (theta) = opposite / hypotenuse
cos (theta) = adjacent / hypotenuse
tan (theta) = opposite / adjacent
<u>Now, for the unknown theta in the triangle:</u>
The opposite side is 16 and the hypotenuse is 20
This means that we will use the <u>sin</u> not the cos as Bob did
<u>The solution will be as follows:</u>
sin (theta) = opposite / hypotenuse
sin (theta) = 16 / 20
theta = sin^-1(16/20)
theta = 53.13°
Hope this helps :)
