Answer:
64√3 ft²
Step-by-step explanation:
The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.
The long leg (represented by the dashed line) is (8 ft)(sin 60°), or
(8 ft)(√3/2), or 4√3. This is also the width of the horizontal trapezoid.
The area of this horizontal trapezoid is:
(sum of horizontal sides)
A = ------------------------------------- * (width)
2
Here, the area is:
(18 ft + (18 ft - 4 ft)
= ------------------------------------- * (4√3)
2
32 ft
= ----------- * 4√3 = 64√3 ft²
2
3x^6+4x^5-3= 0
Because math equals equation
Answer:
Explained below
Step-by-step explanation:
If two angles are congruent, it means that they have the same angle whether in degrees or radians.
Now, angles are said to be congruent so as long as the measure of the angles are the same and regardless of them point in the same or different directions.
They must not necessarily be made with lines having the same length.
For example, in the diagram of the 2 triangles I've attached, angle C and Z are congruent, and they are both marked accordingly by one short curved line. Similarly angle A and B are congruent and they are both marked accordingly by two short lines.
Since Nancy wants a fence around her backyard, we are obviously talking about perimeter here.
10 + 10 + 15 + 15 = 50
The perimeter of her backyard is 50 meters
50 x 10 = 500
It would cost her $500
Answer: B
. $23.42 is your answer
Hailey went to Frank’s Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 per pound. If Hailey paid for her purchase with a $50 bill, how much change did she receive?
Answer:
$23.43
Step-by-step explanation:
First, you need to find the total amount she needs to pay for the items she purchased:
1 3/4=1.75
8 1/2=8.5
Total purchase=(1.75*$13)+(8.5*$0.45)
Total purchase=22.75+3.82
Total purchase=26.57
No, you need to subtract the total amount you have to pay for your purchase from $50:
$50-$26.57=$23.43
According to this, the answer is that she received $23.43 as change.