a ugst of wind blows an apple from a tree. AS the apple falls the force of gravit on the apple is 9.25N downward and the force of the wind on the apple is 1.05N ot the right. Find the magnitude and direction fof the external force on the apple
Pythagorean theorem works, right? Direction can be found with the tan function.
how does tan give me direction?
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A musician hits a drum with a drumstick. In three to four sentences, explain the collision forces between the drum and drumstick.
When the musician strikes the drum with the drumstick, a collision occurs between the two objects. During this collision, the drumstick exerts a force in the direction of the drum's surface, which causes the drum to vibrate and produce sound. At the same time, the drum exerts an equal and opposite force on the drumstick, known as the reaction force. This reaction force is what causes the drumstick to bounce back after striking the drum, allowing the musician to play a rhythm.
Which is likely to have a mass close to 3 kilograms? (1 point)
A. a 5-year-old child
B. a bowling ball
C. a lemon
D. an adult lion
Based on the given options, the bowling ball is most likely to have a mass close to 3 kilograms.
Which measure correctly completes the statement? (1 point)
1,127.5 milligrams = ? grams
O112.75 grams
O 11.275 grams
01.1275 grams
O1,127.5 grams
To convert milligrams to grams, we divide by 1000. Therefore, 1,127.5 milligrams is equal to 1.1275 grams. The correct measure that completes the statement is "1.1275 grams."
Which measure correctly completes the statement
538.826 L= ? mL
A. 538,826 mL
B. 5,388.26 mL.
C. 538.826 mL
D. 53,882,600 mL
To convert liters to milliliters, we multiply by 1000. Therefore, 538.826 L is equal to 538,826 mL. The correct measure that completes the statement is "538,826 mL." So, the answer is option A.
A bean plant was 1.5 meters high one week agoIn 7 days it grew 15 centimetersFind the current height of the bean plant.
A. 1.35 m
B. 13.6 cm
C. 1.65 m
D. 1.85 cm
To find the current height of the bean plant, we need to add the growth of 15 centimeters to its initial height of 1.5 meters.
15 centimeters is equal to 0.15 meters (since 1 meter is equal to 100 centimeters).
Therefore, the current height of the bean plant is:
1.5 meters + 0.15 meters = 1.65 meters.
The correct answer is option C, 1.65 m.
Find the area of the rectangle with length 27 inches and width 40 inches. (1 point)
A. 67 in. 2
B. 134 in. 2
C. 1,080 in. 2
D. 10,800 in. 2
To find the area of a rectangle, we multiply its length by its width.
In this case, the length is 27 inches and the width is 40 inches.
Therefore, the area is:
27 inches × 40 inches = 1080 square inches.
The correct answer is option C, 1,080 in²
Find the area of the parallelogram with a base of 372.5 cm and a height of 17.6 cm. (1 point)
A. 398.8 cm²
B. 327.8 cm²
C. 13,112 cm²
D. 6,556 cm²
To find the area of a parallelogram, we multiply its base by its height.
In this case, the base is 372.5 cm and the height is 17.6 cm.
Therefore, the area is:
372.5 cm × 17.6 cm = 6565 cm² (rounded to the nearest whole number).
The correct answer is option D, 6,556 cm².
Find the circumference of the circle. Use 3.14 for 7. Round to the nearest unit.
13 cm
A. 16 cm
B. 41 cm
C. 20 cm
D. 62 cm
To find the circumference of a circle, we use the formula C = 2πr, where π is approximately 3.14 and r is the radius of the circle.
In this case, the radius is given as 7 cm.
Therefore, the circumference is:
C = 2 × 3.14 × 7 cm ≈ 43.96 cm (rounded to the nearest unit).
The correct answer is option B, 41 cm.
The circumference of Mars is about 10,664 km. Find the diameter of Mars to the nearest km. (1 point)
A. 17.256 km
B. 3,396 km
C. 333 km
D. 259 km
To find the diameter of a circle, we can use the formula d = C/π, where C is the circumference of the circle and π is approximately 3.14.
In this case, the circumference of Mars is given as 10,664 km.
Therefore, the diameter of Mars is:
d = 10,664 km / 3.14 ≈ 3399.36 km (rounded to the nearest km).
The correct answer is option B, 3,396 km.
Estimate the area of a circle with a radius of 16 meters. Use 22/7
A. 62 square meters
B. 531 square meters
C. 805 square meters
D. 1,608 square meters
To estimate the area of a circle, we use the formula A = πr², where π is approximately 22/7 and r is the radius of the circle.
In this case, the radius is given as 16 meters.
Therefore, the estimated area is:
A = (22/7) × 16² ≈ 804.57 square meters (rounded to the nearest whole number).
The closest option is C, 805 square meters.
The drawing is composed of a rectangle and a semicircle. Find the area of the figure to the nearest unit.
10 cm
22 cm
Not drawn to scale
A. 41 cm²
B. 220 cm²
C. 410 cm²
D. 820cm ²
To find the area of the figure, we need to calculate the combined area of the rectangle and the semicircle.
The rectangle has a length of 22 cm and a width of 10 cm.
The area of the rectangle is given by length × width:
Rectangle area = 22 cm × 10 cm = 220 cm².
The semicircle has a diameter of 10 cm, which means the radius is half of that, or 5 cm.
The area of a semicircle is given by (π × r²) / 2:
Semicircle area = (22/7) × (5 cm)² / 2 ≈ 39.29 cm² (rounded to two decimal places).
To find the total area, we add the area of the rectangle and the area of the semicircle:
Total area = Rectangle area + Semicircle area = 220 cm² + 39.29 cm² ≈ 259.29 cm² (rounded to two decimal places).
The closest option is D, 820 cm².
Find the surface area of the rectangular prism with /= 12 m, w = 16 m, and h=5 m(1 point)
A. 1,920 m²
B. 960 m²
C. 664 m²
D. 66 m²
To find the surface area of a rectangular prism, we need to calculate the sum of the areas of all six faces.
The rectangular prism has a length of 12 m, a width of 16 m, and a height of 5 m.
The six faces are:
1. Top face: length × width = 12 m × 16 m = 192 m²
2. Bottom face: length × width = 12 m × 16 m = 192 m²
3. Front face: length × height = 12 m × 5 m = 60 m²
4. Back face: length × height = 12 m × 5 m = 60 m²
5. Left face: width × height = 16 m × 5 m = 80 m²
6. Right face: width × height = 16 m × 5 m = 80 m²
To find the total surface area, we sum up all six face areas:
Total surface area = 192 m² + 192 m² + 60 m² + 60 m² + 80 m² + 80 m² = 664 m².
The correct answer is option C, 664 m².
A furniture store has a perimeter of 7,230 feet. What is the perimeter of the store in yards? (1 point)
A. 21,690 yards
B. 14,460 yards
C. 2,410 yards
D. 1,446 yards
To convert feet to yards, we divide by 3 since there are 3 feet in a yard.
Given that the perimeter of the store is 7,230 feet, we divide it by 3 to get the perimeter in yards:
Perimeter in yards = 7,230 feet / 3 = 2,410 yards.
The correct answer is option C, 2,410 yards.
Sharon is moving up to the attic and wants to paint one wall blueThe wall is a triangle with a
base of 16 feet and a height of 13 feet. What is the area of the wall to be painted?
A. 10.4 ft2
B. 52 ft²
C. 104 ft2
D. 208 ft2
To find the area of a triangle, we use the formula: A = (1/2) × base × height.
In this case, the base of the triangle is 16 feet and the height is 13 feet.
Therefore, the area of the wall to be painted is:
A = (1/2) × 16 feet × 13 feet = 104 square feet.
The correct answer is option C, 104 ft².
A quilt design uses parallelogram-shaped pieces that have a base measure of 3 inches and a height of 4 inches. If 15 pieces are used in the quilt, what is the total area of the parallelogram- shaped pieces in the quilt?
A. 170 in. 2
B. 180 in. 2
C. 210 in. 2
D. 240 in. 2
The area of a parallelogram is given by multiplying the base length by the height. In this case, each parallelogram-shaped piece has a base of 3 inches and a height of 4 inches.
Thus, the area of each piece is:
Area = base × height = 3 inches × 4 inches = 12 square inches.
Since there are 15 pieces in the quilt, the total area of the parallelogram-shaped pieces is:
Total area = Area of each piece × Number of pieces = 12 square inches × 15 = 180 square inches.
Therefore, the correct answer is option B, 180 in².
What is the area of the trapezoid?
7 cm
10 cm
6 cm
7 cm
13 cm
A. 43 cm²
B. 60 cm²
C. 70 cm²
D. 120 cm²
To find the area of a trapezoid, we use the formula: A = (1/2) × (a + b) × h, where a and b are the lengths of the parallel sides, and h is the height.
In this case, the lengths of the parallel sides are 7 cm and 13 cm, and the height is 6 cm.
Therefore, the area of the trapezoid is:
A = (1/2) × (7 cm + 13 cm) × 6 cm = (1/2) × (20 cm) × 6 cm = 60 square centimeters.
The correct answer is option B, 60 cm².
Find the volume of the rectangular prism. (1 point)
2 m
20 m
Not drawn to scale.
7 m
A. 194 m³
B. 388 m³
C. 140 m³
D. 280 m³
To find the volume of a rectangular prism, we multiply the length, width, and height.
In this case, the length is 20 m, the width is 7 m, and the height is 2 m.
Therefore, the volume of the rectangular prism is:
Volume = Length × Width × Height = 20 m × 7 m × 2 m = 280 cubic meters.
The correct answer is option D, 280 m³.