MATHEMATICS HIGH SCHOOL

A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline? 33 miles 83 miles 120 miles 270 miles Mark this and return

Answers

Answer 1

Answer:

Answer:

270 miles

Step-by-step explanation:

if 1 gallon = 18 miles

then 15 gallons = x miles

cross multiply

1 × x = 15×18miles

x = 270 miles

so it travels 270 miles on 15 gallons of gasoline

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Solve 12ds/w=CD for w.
Round the fraction to the nearest whole number. 5 2/7
A rocket lifted off from a launch pad and traveled vertically 30 km, then traveled 40 km at 30 degrees from the vertical, and then traveled 100 km at 45 degrees from the vertical. At that point, the rocket was how many kilometers above the height of the launch pad?
Mr. Ishimoto ordered x new math books and y new workbooks for his class. The total weight of the box of books cannot be more than 50 pounds. If each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?

How many different ways can a director select 4 actors from a group of 20 actors?

Answers

Number of ways = 20C4
Number of ways = (20 x 19 x 18 x 17) ÷ (4 x 3 x 2 x 1)
Number of ways = 116280 ÷ 24
Number of ways = 4845.

Answer: 4845

Jess bought 23 12pounds of candy
for Halloween. She
gave out two-
thirds of the
candy to trick or
treaters How
many pounds of
candy did she give
out?

Answers

She gave out 12 1/2 of her candy to people

Answer:

184 pounds

Step-by-step explanation:

23*12=276

276*2/3=184 lbs

If a vector A⃗ has the following components, use trigonometry to find its magnitude and the counterclockwise angle it makes with the +x axis: Ax = 9.00lb , Ay = 5.00lb

Answers

The vector magnitude is 10.29lb and the vector direction is 150.9⁰.

Vector:

As per the given question:

$Ay = 5.00 \ lb\n\nAx = 9.00 \ lb\n\n$

To find:

magnitude and direction=?

Solution:

Vector representation of the given value:

$\to (9i + 5j)$

Calculating the vector magnitude:

$\to √((9)^2 +(5)^2)\n\n \to √(81+25)\n\n \to √(106) \n\n\to 10.29 \ lb$

Calculating the vector direction:

When $90 < \theta < 180$

Let's solve the value for $\theta\n\n$

$\tan \theta = (y)/(x)\n\n\tan \theta = (5)/(9)\n\n\tan \theta =0.555\n\n\theta = \tan^(-1)(0.555555556) \n\n\theta= 29.1^(\circ)\n\n$

$\sin \theta$ lies in the second quadrant,

$\to \theta = 29.1^(\circ) = 180 -29.1 = 150.9^(\circ)\n\n$

Find out more information about the angle here:

brainly.com/question/24797859

The quotient of x and 4

Answers

Answer:

x/4

x divided by 4

Find the area of the polygon with the given vertices W(0,0), X(0, 3), Y(-3,3), Z(-3,0)

Answers

The area of the polygon is 9.

Calculating the area of triangle WXY

The area of a triangle can be calculated using the following formula:

Area of triangle = 1/2 * base * height

In triangle WXY, the base is XY and the height is WX.

The length of XY is equal to the distance between the two points (0, 3) and (-3, 3). This distance can be calculated using the distance formula:

Distance between two points = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of the two points into the distance formula, we get:

Distance between (0, 3) and (-3, 3) = sqrt((-3 - 0)^2 + (3 - 3)^2) = sqrt(9) = 3

Therefore, the length of XY is 3.

The length of WX is equal to the y-coordinate of point X, which is 3.

Therefore, the area of triangle WXY is:

Area of triangle WXY = 1/2 * 3 * 3 = 4.5

Calculating the area of triangle YXZ

The area of triangle YXZ can be calculated in the same way as the area of triangle WXY.

The length of YZ is equal to the distance between the two points (-3, 3) and (-3, 0). This distance can be calculated using the distance formula:

Distance between (-3, 3) and (-3, 0) = sqrt((-3 - (-3))^2 + (3 - 0)^2) = sqrt(9) = 3

Therefore, the length of YZ is 3.

The length of XZ is equal to the x-coordinate of point Z, which is -3.

Therefore, the area of triangle YXZ is:

Area of triangle YXZ = 1/2 * 3 * 3 = 4.5

Calculating the area of the polygon

The area of the polygon is the sum of the areas of the two triangles:

Area of the polygon = Area of triangle WXY + Area of triangle YXZ = 4.5 + 4.5 = 9

Therefore, the area of the polygon is 9.

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Final answer:

The area of a rectangle with vertices at W(0,0), X(0,3), Y(-3,3) and Z(-3,0) is 9 square units.

Explanation:

The question asks to find the area of a polygon given its vertices. The polygon in this question is a rectangle with vertices at W(0,0), X(0,3), Y(-3,3) and Z(-3,0). The formula to find the area of a rectangle is Length x Width. In this case, the length of the rectangle is WX or XZ which is 3 units (from 0 to 3) and the width is X to Y or W to Z which is 3 units (from 0 to -3). So, the area of the rectangle is 3 x 3 = 9 square units.

Learn more about Area of polygon here:

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Can someone please help me with number one. I’ll give the right answer the brainliest.

Answers

Answer:

1 yes 2 no 3 yes

Step-by-step explanation:

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