Test 12, Units 1 - 15 Flashcards
T or F: The hypotenuse is the longest side in a right triangle.
true
T or F: The absolute value of -8 is 8
true
An isosceles triangle has ____ congruent sides.
isosceles has 2 congruent sides
The cosine is the ratio between the length of the _______ leg to the length of the hypotenuse.
adjacent
The boiling point of water is _____ degrees C.
100
The expression 28xyz has how many terms?
one, it is monomial
T or F: Shapes that have the same size & shape are said to be similar
False
T or F: The points where the sides of a polygon meet are called the vertexes.
true
T or F: A heptagon is a seven-sided polygon
true
T or F: An acute angle has more than 90 degrees but less than 180 degrees.
False. Obtuse.
Write the formula for finding the area of a triangle
A = 1/2bh
Write the simple interest formula
i = prt
Write the formula for finding the circumference of a circle using the diameter
C = pid
Write the formula for finding the volume of a cylinder.
V = pir2h
Write the formula for finding the perimeter of a square
P = 4s
Convert 120 miles to the nearest whole kilometer. Remember that 1 mi. = 1.61 km
120 x 1.61 =
193 km
Convert 45 degrees C to the Fahrenheit scale.
9/5C + 32 = F
9/5 x 45 + 32 = F
81 + 32 = F
113 = F
113 degrees F.
Find the approximate number of miles 23 North latitude is from the equator. Remember that the distance between 1 degree of latitude is approximately 69 miles.
23 x 69 =
1587 mi.
Write the time in the Central Zone if the time in the Pacific Zone is 11:35 P.M.
Difference is +2 hours, so:
1:35 A.M.
Write the number of centimeters in 3.5 meters.
100 centimeters in a meter so:
3.5 x 100 =
350 cm
Write the number of inches needed to represent 25 miles on a map if 1/2 inch represents 50 miles.
25/50 = .5 or 1/2, so 1/2 inch x 1/2 =
1/4 in.
Write the number of ounces in 3 1/2 pounds.
16 oz. in a lb., so 3 1/2 x 16 =
56 oz.
Round off 0.579 to the nearest hundredth.
0.58
Write the number of degrees in a right angle.
90
Write the value of x in
5/8 = x/16
x = 10
Write the length of the radius if the diameter is 6 cm.
3 cm
Write the sum of -6 and -8.
-14
change 34/5 to a mixed number
6 4/5
Express 1/4% as a decimal.
.0025
4732
-1586
_______
3146
486
x509
______
247,374
- 43
- 097
+6.54
_________
16.067
.504
x .007
_______
.003528
16 2/3
- 7 4/5
_________
8 13/15
15 7/8
9 1/2
+ 6 1/3
_________
31 17/24
9 3/8 x 8/15
75/8 x 8/15
5/1 x 1/1 =
5
1 1/4 divided by 2
5/4 x 1/2 =
5/8
25% of 600
.25 x 600
150
4 is what % of 80?
4/80 =
.05
5%
75 is 30% of what number?
change 30% to a decimal .3
divided the percentage (75) by the decimal
75/.3 =
250
12 hr. 30 min.
-7 hr. 45 min.
_____________
11 hr. 90 min.
-7 hr. 45 min.
___________
4 hr. 45 min.
5 lb. 6 oz.
x 7
_________
35 lb. 42 oz.
but you want the ounces to be less than 16, so see how many times 16 goes into 42. 2 times with 10 left over, so add those 2 to the pounds.
37 lb. 10 oz.
27.612 divided by 7.8
3.54
5 divided by 9 (nearest hundredth)
.56
6 + 7 x 32 - 8 =
6 + 7 x 9 - 8 =
6 + 63 - 8 =
69 - 8 =
61
Find the area of a square - s = 9 cm
A = s2
A = 81 cm2
Find the area of a triangle - b = 9ft.; h = 6 ft.
A = 1/2bh
A = 1/2 x 54
A = 27 sq. ft.
Find the area of a trapezoid - b1 = 15 m; b2 = 12 m; h = 10 m
A = h(b1 + b2)/2
A = 10(15 + 12)/2
A = (10 x 27)/2
A = 270/2
A = 135 m2
Find the volume of a cube - e = 4in.
V = e3
V = 4 x 4 x 4
V = 64 cu. in.
Find the volume of a rectangular solid -
l = 10 ft.; w = 6 ft.; h = 3 ft.
V = lwh
V = 10 x 6 x 3
V = 60 x 3
V = 180 cu. ft.
Find the volume of a cylinder -
r = 2 cm; h = 3 cm
V = pir2h
V = 3.14 x 4 x 3
V = 37.68 cm3
3x - 3 = 12
3x - 3 + 3 = 12 + 3
3x = 15
3x/3 = 15/3
x = 5
2/3x = 10
3/2 x 2/3x = 10 x 3/2
x = 30/2
x = 15
5x - 2x = 15
3x = 15
x = 5
6x + 3 = 4x + 11
6x + 3 - 3 = 4x + 11 - 3
6x = 4x + 8
6x - 4x = 4x - 4x + 8
2x = 8
x = 4
8 - (-5) =