967 Answered Questions for the topic ACT Math

Act Math

27d

#### What is the best way to prepare for the ACT Math?

What is the best way to prepare for the Math portion of the ACT?

#### The location, given in polar coordinates, of two planes are (5 mi, 14°) and (3 mi, 65°). Find the distance between the airplanes

The location, given in polar coordinates, of two planes are (5 mi, 14°) and (3 mi, 65°). Find the distance between the airplanes. (Simplify your answer. Round the final answer to three...
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#### Use an algebraic method to find the angle between the vectors. Use a calculator to approximate exact answers when appropriate. u=<−15,−8> and v=<-1,5> (Round to three decimal places as needed.)

Use an algebraic method to find the angle between the vectors. Use a calculator to approximate exact answers when appropriate. u=<−15,−8> and v=<-1,5> (Round to three decimal places...
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#### An airplane is flying on a compass heading (bearing) of 330° at 320 mph. A wind is blowing with the bearing 300° at 40 mph.

An airplane is flying on a compass heading (bearing) of 330° at 320 mph. A wind is blowing with the bearing 300° at 40 mph. (a) Find the component form of the velocity of the airplane....
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#### Find a unit vector in the direction of the given vector. v=<5,10> (Type your answer in the form ai + bj. Simplify your answer. Type an exact answer, using radicals as needed.)

Find a unit vector in the direction of the given vector.v=<5,10>(Type your answer in the form ai + bj. Simplify your answer. Type an exact answer, using radicals as needed.)

#### Prove the identity. cos3x=4cos3x−3cosx

Prove the identity.cos3x=4cos3x−3cosx

#### Find the vector projection of u onto v. Then write u as the sum of two orthogonal vectors, one of which is projvu. u=〈−2,3〉, v=〈5,6〉

Find the vector projection of u onto v. Then write u as the sum of two orthogonal vectors, one of which is projvu. u=〈−2,3〉, v=〈5,6〉

#### Find an equation in standard form for the hyperbola that satisfies the given conditions. Foci (−5,5) and (3,5), transverse axis endpoints (−4,5) and (2,5).

Find an equation in standard form for the hyperbola that satisfies the given conditions. Foci (−5,5) and (3,5), transverse axis endpoints (−4,5) and (2,5).

#### Find an equation in standard form for the ellipse that satisfies the given conditions. Minor axis endpoints (0,±5), major axis length 14

Find an equation in standard form for the ellipse that satisfies the given conditions.Minor axis endpoints (0,±5), major axis length 14

#### Finding numbers, word equation

Find three consecutive odd integers such that four times the sum of the first and second is 11 more than 3 times the third.

#### Suppose an object is dropped from a lunar cliff and its speed in ft/sec. after t seconds is given by v(t)=5.3t

If the object lands after 5 seconds, how high (in ft) is the cliff?

#### object is thrown down from a cliff with an initial speed of 4 feet per sec, and its speed in ft/sec after t seconds is given by s(t)=32t+4.

If the object lands after 8 seconds, how high (in ft) is the cliff?

#### A train travels along a track and its speed (mph) is given s(t)=29t for the first half hour. Its speed is constant and equal to s(t)=29/2 after the first half hour. t is in hours.

How far (miles) does the train travel in the first hour?I think I am supposed to combine the areas of two shapes.

#### object is thrown off a cliff initial speed of 4 feet per sec, and its speed in ft/sec after t seconds is given by s(t)=32t+4.

If the object lands after 8 seconds, how high (in ft) is the cliff?

#### A train travels along a track and its speed (mph) is given s(t)=29t for the first half hour. Its speed is constant and equal to s(t)=29/2 after the first half hour. t is in hours.

How far (miles) does the train travel in the first hour?

04/21/23

#### algebra one, word equation

The number of girls in Mr. Taylors algebra class exceeded the number of boys by 5. If there were 39 pupils in the class, how many were girls.

#### A farmer builds a rectangular grid of pens with 1 row and 5 columns using 650 feet of fencing. What dimensions will maximize the total area of the pen?

The total width of each row of the pens should be ???the total height of each column of pens should be???maximum area???

#### A farmer builds a rectangular grid of pens with 1 row and 5 columns using 650 feet of fencing. What dimensions will maximize the total area of the pen?

What dimensions will maximize the total area of the pen? Width of each row of the pens ??? Height of each column of the pen??

#### An open box is to be made out of a 12-inch by 18-inch piece by cutting out squares of equal size from the four corners and bending up the sides

. Find the dimensions of the resulting box that has the largest volume dimensions??? Height??

#### An open box is to be made out of a 12-inch by 18-inch piece by cutting out squares of equal size from the four corners and bending up the sides.

Find the dimensions of the resulting box that has the largest volumedimensions???Height??I think you have to use optimization

04/03/23

#### A farmer builds a rectangular grid of pens with 1 row and 5 columns using 650 feet of fencing. What dimensions will maximize the total area of the pen?

Width of each row of the pens ???Height of each column of the pen??

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