Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

SAT

Easy

Question

In the given figure, $theta$ is an angle. If $sin theta equals fraction numerator square root of 3 over denominator 2 end fraction comma$ what is $cos theta ?$

$\frac{\sqrt{3}}{2}$
$\frac{1}{2}$
$- \frac{1}{2}$
$- \frac{\sqrt{3}}{2}$

The correct answer is: $negative 1 half$

The angle lies in second quadrant, cosine is negative in the region. The value of cosθ = $negative 1 half$ .

Related Questions to study

W(L) = 0.04(1.22)^L
The function W gives the estimated weight W(L), in pounds, of a rainbow trout based on its length L, in inches. Which of the following is the best interpretation of the number 1.22 in this context?

W(L) = 0.04(1.22)^L
The function W gives the estimated weight W(L), in pounds, of a rainbow trout based on its length L, in inches. Which of the following is the best interpretation of the number 1.22 in this context?

A set of data is represented by the scatterplot in the portion of the xy-plane shown. Which of the following linear equations best fits the data?

A set of data is represented by the scatterplot in the portion of the xy-plane shown. Which of the following linear equations best fits the data?

A sports store had 60 backpacks in stock, some with wheels and some without wheels, before a new shipment of backpacks arrived. The number of wheeled backpacks in the new shipment was twice the number of wheeled backpacks already in stock, and the number of backpacks without wheels in the new shipment was five times the number of backpacks without wheels already in stock. After the new shipment arrived, there were 330 backpacks in the store. Before the shipment, there were x wheeled backpacks and y backpacks without wheels. Which of the following equations can be used with x + y = 60 to solve for x and y ?

A sports store had 60 backpacks in stock, some with wheels and some without wheels, before a new shipment of backpacks arrived. The number of wheeled backpacks in the new shipment was twice the number of wheeled backpacks already in stock, and the number of backpacks without wheels in the new shipment was five times the number of backpacks without wheels already in stock. After the new shipment arrived, there were 330 backpacks in the store. Before the shipment, there were x wheeled backpacks and y backpacks without wheels. Which of the following equations can be used with x + y = 60 to solve for x and y ?

parallel

The graph above shows the distribution of the number of years of experience for 25 teachers enrolled in an advanced-degree program at a particular university. If a 26th teacher with 2 years of experience is added to the program and to the data set, what will be the effect on the mean and median of the data set?

The graph above shows the distribution of the number of years of experience for 25 teachers enrolled in an advanced-degree program at a particular university. If a 26th teacher with 2 years of experience is added to the program and to the data set, what will be the effect on the mean and median of the data set?

For her job, Natasha spent a total of n minutes processing ID card applications and driver's license applications. It takes Natasha 15 minutes to process an ID card application and 20 minutes to process a driver's license application. The graph above represents all possible combinations for the number of ID card applications and the number of driver's license applications that Natasha could have processed in the n minutes. What is the value of n?

For her job, Natasha spent a total of n minutes processing ID card applications and driver's license applications. It takes Natasha 15 minutes to process an ID card application and 20 minutes to process a driver's license application. The graph above represents all possible combinations for the number of ID card applications and the number of driver's license applications that Natasha could have processed in the n minutes. What is the value of n?

The table above shows the distribution of the number of extracurricular activities that students at a middle school participate in. If the number of students who participate in two extracurricular activities is 120 more than the number of students who participate in one extracurricular activity, what is the total number of students who attend the middle school?

The table above shows the distribution of the number of extracurricular activities that students at a middle school participate in. If the number of students who participate in two extracurricular activities is 120 more than the number of students who participate in one extracurricular activity, what is the total number of students who attend the middle school?

parallel

The table lists selected values of Sam's walking speed, in kilometers per hour (km/h), and his corresponding pulse, in beats per minute (bpm). There is a linear relationship between Sam's speed, x, and his pulse, f(x). Which of the following equations describes f (x)?

The table lists selected values of Sam's walking speed, in kilometers per hour (km/h), and his corresponding pulse, in beats per minute (bpm). There is a linear relationship between Sam's speed, x, and his pulse, f(x). Which of the following equations describes f (x)?

The box plot summarizes the data for the annual cost of automobile insurance for automobile owners in a certain US city. Which of the following could be the median annual cost of automobile insurance for automobile owners in this city?

The box plot summarizes the data for the annual cost of automobile insurance for automobile owners in a certain US city. Which of the following could be the median annual cost of automobile insurance for automobile owners in this city?

American marsupials and Australian marsupials are two primary groups of marsupials. The table shows the number of species in each order of living marsupial, by group.

Based on the table, what fraction of the Australian marsupial species are from the order Peramelemorphia?

American marsupials and Australian marsupials are two primary groups of marsupials. The table shows the number of species in each order of living marsupial, by group.

Based on the table, what fraction of the Australian marsupial species are from the order Peramelemorphia?

parallel

The line graph shows the number of space shuttle launches by the United States from 1981 through 1986.

During which year of this time period was the number of space shuttle launches the greatest?

The line graph shows the number of space shuttle launches by the United States from 1981 through 1986.

During which year of this time period was the number of space shuttle launches the greatest?

The half-life of a certain substance in an aquatic environment is about 150 years. Which of the following exponential functions best models the amount A(t), in grams, of the substance t years after 200 grams of the substance is applied to the aquatic environment? (The half-life is the length of time needed for an amount of the substance to decrease to one-half of that amount.)

The half-life of a certain substance in an aquatic environment is about 150 years. Which of the following exponential functions best models the amount A(t), in grams, of the substance t years after 200 grams of the substance is applied to the aquatic environment? (The half-life is the length of time needed for an amount of the substance to decrease to one-half of that amount.)

The table gives some values of x and the corresponding values of f(x) for polynomial function f. Which of the following could be the graph of f in the xy-plane, where y = f(x) ?

The table gives some values of x and the corresponding values of f(x) for polynomial function f. Which of the following could be the graph of f in the xy-plane, where y = f(x) ?

parallel

Bill is planning to drive 1,000 miles to visit his family. If he plans to drive 250 miles per day, which of the following represents the remaining distance d, in miles, that Bill will have to drive to reach his family after driving for n days?

Bill is planning to drive 1,000 miles to visit his family. If he plans to drive 250 miles per day, which of the following represents the remaining distance d, in miles, that Bill will have to drive to reach his family after driving for n days?

The number of positive integral solutions of the equation $open vertical bar table row cell y to the power of 3 end exponent plus 1 end cell cell y to the power of 2 end exponent z end cell cell y to the power of 2 end exponent x end cell row cell y z to the power of 2 end exponent end cell cell z to the power of 3 end exponent plus 1 end cell cell z to the power of 2 end exponent x end cell row cell y x to the power of 2 end exponent end cell cell X to the power of 2 end exponent Z end cell cell x to the power of 3 end exponent plus 1 end cell end table close vertical bar equals 11$ is

The number of positive integral solutions of the equation $open vertical bar table row cell y to the power of 3 end exponent plus 1 end cell cell y to the power of 2 end exponent z end cell cell y to the power of 2 end exponent x end cell row cell y z to the power of 2 end exponent end cell cell z to the power of 3 end exponent plus 1 end cell cell z to the power of 2 end exponent x end cell row cell y x to the power of 2 end exponent end cell cell X to the power of 2 end exponent Z end cell cell x to the power of 3 end exponent plus 1 end cell end table close vertical bar equals 11$ is

If $open vertical bar table row cell a blank b blank 1 end cell row cell b blank c blank 1 end cell row cell c blank a blank 1 end cell end table close vertical bar equals 2010 text andif end text open vertical bar table row cell c minus a end cell cell c minus b end cell cell a b end cell row cell a minus b end cell cell a minus c end cell cell b c end cell row cell b minus c end cell cell b minus a end cell cell c a end cell end table close vertical bar minus open vertical bar table row cell c minus a end cell cell c minus b end cell cell c to the power of 2 end exponent end cell row cell a minus b end cell cell a minus c end cell cell a to the power of 2 end exponent end cell row cell b minus c end cell cell b minus a end cell cell b to the power of 2 end exponent end cell end table close vertical bar equals p$ then the number of positive divisors of the number p is

If $open vertical bar table row cell a blank b blank 1 end cell row cell b blank c blank 1 end cell row cell c blank a blank 1 end cell end table close vertical bar equals 2010 text andif end text open vertical bar table row cell c minus a end cell cell c minus b end cell cell a b end cell row cell a minus b end cell cell a minus c end cell cell b c end cell row cell b minus c end cell cell b minus a end cell cell c a end cell end table close vertical bar minus open vertical bar table row cell c minus a end cell cell c minus b end cell cell c to the power of 2 end exponent end cell row cell a minus b end cell cell a minus c end cell cell a to the power of 2 end exponent end cell row cell b minus c end cell cell b minus a end cell cell b to the power of 2 end exponent end cell end table close vertical bar equals p$ then the number of positive divisors of the number p is

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.