The drawing shows a circle, with the two lines forming a cross assumed to be perpendicular to each other, so this is most likely to be a square, as the four points at which the perpendicular lines intersect with the circle can be connected to form a square.
We would need 3 points for an equilateral triangle, 5 for a pentagon, and 6 for a hexagon, which do not fit the current steps.
Answer: Yes it is reasonable.
Step-by-step explanation:
If all the numbers are rounded, 79 will be rounded to 80
12 to 10
and 11 to 10
If there are about 80 kids in 3rd grade, and about 20 kids in Mrs. Henry's class (because 10 girls plus 10 boys)
That means that 80-20
about 60 kids are not in Mrs. Henry's class
Hope this helped!
For this case we have the following system of equations:
-4x + 5y = 8
6x - y = 11
The solution is the ordered pair where both functions intersect.
In this case, the point of intersection is:
(x, y) = (5/2, 7/2)
Answer: (x, y) = (5/2, 7/2) option 1See attached image
Answer:
<h2>
the answer is</h2><h2>
166 cm²</h2>
Step-by-step explanation:
we know that
surface area of the prism=2*area of the base+perimeter of the base*height
step 1
find the area of the base
area of the base=length* width
length=5 cm
width=4 cm
area of the base=5*4-----> 20 cm²
step 2
find the perimeter of the base
perimeter=2*[length+width]-----> 2*[5+4]----> 18 cm
step 3
height=7 cm
step 4
find the surface area
surface area of the prism=2*area of the base+perimeter of the base*height
surface area of the prism=2*20+18*7----> 166 cm²
The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios
- The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
- The angles in the rhombus are 44 and 46 degrees, respectively
<h3>How to determine the values of x?</h3>
<u>Triangle 1</u>
The value of x is calculated using the following tangent ratio
tan(25) = 10/x
Make x the subject
x = 10/tan(25)
Evaluate
x = 21.4
<u>Triangle 2</u>
The value of x is calculated using the following tangent ratio
tan(x) = 8/5
Evaluate the quotient
tan(x) = 1.6
Take the arc tan of both sides
x = arctan(1.6)
Evaluate
x = 58
<u>Triangle 3</u>
The value of x is calculated using the following tangent ratio
tan(x) = 0.34/0.15
Evaluate the quotient
tan(x) = 2.27
Take the arc tan of both sides
x = arctan(2.27)
Evaluate
x = 66
<h3>How to calculate the angles of the rhombus?</h3>
The lengths of the diagonals are:
L1 = 2 in
L2 = 5 in
Represent the angles with x and y.
The measures of the angles are calculated using the following tangent ratios
tan(0.5x) = 2/5 and y = 90 - x
Evaluate the quotient
tan(0.5x) = 0.4
Take the arc tan of both sides
0.5x = arctan(0.4)
Evaluate
0.5x = 22
Divide by 0.5
x = 44
Recall that:
y = 90 - x
This gives
y = 90 - 44
Evaluate
y = 46
Hence, the angles in the rhombus are 44 and 46 degrees, respectively
Read more about tangent ratio at:
brainly.com/question/13347349
