Area of a Triangle
Find the area, to the nearest tenth, of triangle PQR, given r=4, p=9 and
m angle Q = 32
9.5 square units
Given triangle ABC, b=27, m angle B = 53 and m angle C = 21 . Find c, to the nearest tenth.
12.1
Given triangle ABC, a=19, b=32, c=24. Find the measure of angle A, to the nearest degree.
36 degrees
Evaluate log7(2401)
4
Kyle bought a new car at a cost of $55,000, in his favorite color yellow. The car depreciates approximately 18% of its value each year. Find the value of the car after 3 years.
$30,325.24
Find the area, to the nearest tenth, of triangle ABC, given a=21, c=17 and
m angle B=141
112.3 square units
Given triangle ABC, a=36, m angle B = 72 and m angle C = 19 . Find b, to the nearest tenth.
34.2
Given triangle XYZ, m angle Y = 128, y=42, x=37. Find the measure of angle X, to the nearest degree.
44 degrees
Evaluate log4(1/1024)
-5
John deposits $1000 into an account that accrues 0.4% annual interest compounded quarterly. What is the value of his investment, to the nearest dollar, after 5 years?
$1020
Find the measure of side x, to the nearest tenth, given the area of triangle XYZ is 45.8 square units, z=18 and
m angle Y=58
x = 6
Given triangle XYZ, x=19, y=14, m angle Z = 98. Find z, to the nearest tenth.
25.1
Given triangle ABC, a=3, b=4, c=5. Find the measure of angle C.
90 degrees
Put in equivalent logarithmic form:
3^(x-1)=14
log3(14)=x-1
When Angela was born, her grandmother deposited $5,000 in a trust fund for her that pays 3.75% interest compounded continuously. How much money, to the nearest dollar, will Angela have in her trust fund on her 21st birthday?
$10,989
Find the measure of side l, to the nearest whole number, given the area of triangle LMN is 6.89 square units, m=2 and
m angle N = 100
7
Given triangle PQR, r=5, p=8, m angle Q = 33. Find q, to the nearest tenth.
4.7
Given triangle ABC, m angle C = 105, b=11, c=26. Find the measure of angle B, to the nearest degree.
24 degrees
Put in equivalent exponential form:
log2(x)=6
26=x
An isotope of cesium (cesium-137) has a half-life of 30 years. If 52.0 grams of cesium-137 disintegrates over a period of 45 years, how many grams of cesium-137 would remain? Round to the nearest hundredth of a gram.
18.38 grams
Find the area of triangle RST, to the nearest tenth, given r=14,
m angle S=65 and m angle T = 24
36.1 square units
Two forces of 130 N and 90 N are acting on an object so that the angle between them is 54 degrees. Find the magnitude of the resultant force, to the nearest tenth.
196.9 N
Find to the nearest degree, the measure of the angle between two applied forces of 8 and 10 pounds if the resultant is a force of 5 pounds.
150 degrees
Solve log5(x-3)=2
28
The population P (in thousands) of Allen, Texas from 2016 to 2020 can be modeled by P=84e^(0.067t) , where t is the year, with t=6 corresponding to 2016. According to the model, when will the population of Allen be approximately 300,000?
2029