Maths-
SAT
Easy
Question

Note: Figure not drawn to scale.
In the figure above, the circle has center A, and line : segment CB is tangent to the circle at point C. If AB = 1.0 and CB = 0.8, what is the length of the diameter of the circle?
The correct answer is: 6/5
AB2 = AC2 + BC2
12 = AC2 + 0.82
1 – 0.64 = AC2
0.36 = AC2
AC = 0.6
Diameter = 2 AC = 1.2
Related Questions to study
maths-
1.2(h + 2) = 2h- 1.2
What value of h is the solution of the equation above?
1.2(h + 2) = 2h- 1.2
What value of h is the solution of the equation above?
maths-sat
maths-
Isabella sells only rings and necklaces on her website. Rings sell for $50 each, and necklaces sell for $30 each. If Isabella sold 25 pieces of jewelry and her sales totaled $1050, how many necklaces did Isabella sell?
Isabella sells only rings and necklaces on her website. Rings sell for $50 each, and necklaces sell for $30 each. If Isabella sold 25 pieces of jewelry and her sales totaled $1050, how many necklaces did Isabella sell?
maths-sat
maths-
In the equations a = x - 4 and b = x + 4, a and b are constants. When the product ab is written in the form x 2 - c, where c is a constant, what is the value of c?
In the equations a = x - 4 and b = x + 4, a and b are constants. When the product ab is written in the form x 2 - c, where c is a constant, what is the value of c?
maths-sat
maths-

In the figure above, BC= 5, and the length of line segment AD is half the length of line segment CD. What is the length of line segment DE ?

In the figure above, BC= 5, and the length of line segment AD is half the length of line segment CD. What is the length of line segment DE ?
maths-sat
maths-
Which of the following expressions is equivalent to 
Which of the following expressions is equivalent to 
maths-sat
maths-
y = 5x+ 1
y = x2+ 3x + 2
What is the y-coordinate of the point of intersection, in the xy-plane, of the graphs of the equations above?
y = 5x+ 1
y = x2+ 3x + 2
What is the y-coordinate of the point of intersection, in the xy-plane, of the graphs of the equations above?
maths-sat
maths-
Which of the following equations has a graph in the xy-plane with no x-intercepts?
Which of the following equations has a graph in the xy-plane with no x-intercepts?
maths-sat
maths-
wxy + xyz = wx + yz
In the equation above, w, x, and z are each greater than 1. Which of the following is equivalent to y ?
wxy + xyz = wx + yz
In the equation above, w, x, and z are each greater than 1. Which of the following is equivalent to y ?
maths-sat
maths-

In the right triangle above, the tangent of
A is
. What is the sine of
B ?

In the right triangle above, the tangent of
A is
. What is the sine of
B ?
maths-sat
maths-
|
Number of plants |
||
Regressed |
Thrived |
Total |
|
A |
80 |
120 |
200 |
B |
140 |
60 |
200 |
|
Number of plants |
||
Regressed |
Thrived |
Total |
|
A |
80 |
120 |
200 |
B |
140 |
60 |
200 |
maths-sat
maths-
If x + y = 13 and x - y = 2, what is the value of x2 -y2 ?
If x + y = 13 and x - y = 2, what is the value of x2 -y2 ?
maths-sat
maths-
A sample of seawater is 3.5% salt by mass and contains 1,000 grams of salt. Which of the following is closest to the mass, in grams, of the sample of seawater?
A sample of seawater is 3.5% salt by mass and contains 1,000 grams of salt. Which of the following is closest to the mass, in grams, of the sample of seawater?
maths-sat
maths-
x |
g(x) |
-1 |
-2 |
0 |
2 |
1 |
0 |
2 |
-1 |
3 |
1 |
x |
g(x) |
-1 |
-2 |
0 |
2 |
1 |
0 |
2 |
-1 |
3 |
1 |
maths-sat
maths-
A chef plans to cook a maximum of 100 entrees for a dinner party; each entree will include either chicken or fish. The cost of ingredients for each chicken entree is $7, and the cost of ingredients for each fish entree is $9. If no more than $850 can be spent on ingredients for the entrees and the chef cooks c chicken entrees and f fish en trees, which of the following systems best represents the constraints
on c and f?
A chef plans to cook a maximum of 100 entrees for a dinner party; each entree will include either chicken or fish. The cost of ingredients for each chicken entree is $7, and the cost of ingredients for each fish entree is $9. If no more than $850 can be spent on ingredients for the entrees and the chef cooks c chicken entrees and f fish en trees, which of the following systems best represents the constraints
on c and f?
maths-sat
maths-
A biologist grows a culture of bacteria as part of an experiment. At the start of the experiment, there are 75 bacteria in the culture. The biologist observes that the population of bacteria doubles every 18 minutes Which of the following equations best models the number, n, of bacteria t·hours after the start of the experiment?
A biologist grows a culture of bacteria as part of an experiment. At the start of the experiment, there are 75 bacteria in the culture. The biologist observes that the population of bacteria doubles every 18 minutes Which of the following equations best models the number, n, of bacteria t·hours after the start of the experiment?
maths-sat