Geometry
A rectangle has a perimeter of 48 cm.
The length is 4 cm longer than the width.
Find the length and the width.
Width = 10 cm, Length = 14 cm
4(2x−3)+5=3x+17
x=24/5
x=4.8
32 x 34
729
A right triangle has legs of 3 cm and 4 cm.
Find the length of the hypotenuse.
h=√25
=5
What are the chances of rolling a 2 twice in a row?
1/36
A rectangle has an area of 96 m².
The length is 4 m longer than the width.
Width = 8 m
Length = 12 m
17 x 39 + 23 + 9 x 6
740
(23)4 ÷ 25
128
A right triangle has legs of 9 mm and 12 mm.
Find the hypotenuse.
h=√225
=15
A bag contains 4 red, 3 blue, and 5 green marbles.
One marble is drawn at random.
What is the probability it is NOT blue?
odds are 3 over 4 that it is not blue
A rectangle has a diagonal length of 13 cm and a width of 5 cm.
Find the length of the rectangle.
12 cm
0.75(8x-4)-2=2(x+5)-(x/5)
x=10/3
x=3 1/3
3-2(92)
9
The hypotenuse of a right triangle is 13 cm, and one leg is 5 cm.
Find the other leg.
l=√144
=12
A fair six-sided die is rolled three times.
What is the probability that all three rolls are different?
A circle has a circumference of 20pi cm.
Find the area of the circle.
The area of the circle is 100pi cm2
A school sells tickets for a class fundraiser. Each ticket costs the same price, plus a one-time printing fee. When four tickets are sold, the total raised is $26. The printing fee is $6.
How much does each ticket cost?
x=5
(52*33)*24
10800
A ladder is 10 m long and rests against a wall. The bottom of the ladder is 6 m from the wall.
How high up the wall does the ladder reach?
h=√64
=8
What are the chances of rolling an even number 7 times in a row?
1/128
A right triangle and a rectangle have the same area.
The triangle has legs of 6 cm and 8 cm.
The rectangle has a width of 6 cm.
Find the length of the rectangle.
The length of the rectangle is 4 cm.
A student buys some notebooks and pens for school. Each notebook costs the same price, and each pen costs $2. The student buys 5 notebooks and 3 pens for a total of $31. Later, the student buys 2 more notebooks and 1 pen for $14.
How much does one notebook cost?
$6 per notebook
(52+24)÷33
41/ 27
A triangular sign is shaped like a right triangle. The longest side of the triangle, called the hypotenuse, measures 17 cm. One of the shorter sides (legs) measures 8 cm.
Using the Pythagorean Theorem, find the length of the other leg of the triangle.
b=√225
=15
A card is drawn at random from a standard 52-card deck, replaced, and the deck is shuffled.
This is repeated 4 times.
What is the probability that a heart is drawn exactly 3 times?
The probability that a heart is drawn exactly 3 times is 3 over 64