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N76 [4]
3 years ago
13

In 2009, the world's largest pumpkin weighed 784 kilograms. An average-sized pumpkin weighs 5,000 grams. The 2009 world-record p

umpkin weighs _____ kilograms more than an average-sized pumpkin. (Write your answer as a numeral.)
Mathematics
1 answer:
kozerog [31]3 years ago
3 0
5,000 grams = 5kg

784 - 5 = 779kg

The 2009 world record pumpkin weighs 779kg more than the average sized pumpkin.
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How many different right triangles are there with a hypotenuse of lenght 5 cm
Sveta_85 [38]

Answer:

Draw a horizontal line across a page of paper, somewhere in the middle. Mark a point A on the line, toward the left margin.

Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

Call the opening of your compass, the radius of the arc you just drew, “5 units”.

Pick any point on the arc between the 12 and 3 positions, B. Drop a line down from that point B, perpendicular to the original horizontal line. Label the point that it intersects the horizontal line, C.

ABC is a right triangle with hypotenuse 5. Do this again with a point a little closer to the 3 O’Clock position. It’s another right triangle with hypotenuse 5.

Indeed, as you get closer to the right, along the arc, the height of the triangle declines, but the width of the triangle increases. The hypotenuse remains 5 in all cases. We picked points on the circle. We could have picked points on the horizontal line first, and raised perpendicular lines until they intersected the circle. Each point forms a distinct right triangle.

There are as many possible right triangles as there are possible points in a line segment.

Step-by-step explanation:

6 0
3 years ago
8 more than 4 times a number is 36
algol13

Answer:

8+4×z=36

Step-by-step explanation:

5 0
2 years ago
What is the domain of the function y=\sqrt{x}
DedPeter [7]

Answer: C (third choice)

Step-by-step explanation:

Square roots cannot hold negative x values as it will create an imaginary number.

Therefore the starting value of x must be starting at 0 and then moving to infinity

4 0
2 years ago
The paint in a certain container is sufficient to paint an area equal to 9.375 m^2. How many bricks of dimensions 22.5 cm × 10 c
Minchanka [31]
Let l = 22.5 cm, b = 10 cm and h = 7.5 cm
Surface area of each brick
= 2(lb + bh + lh)
= 2(22.5 × 10 + 10 ×7.5 + 7.5 × 22.5 cm²
= 2 (225 + 75 + 168.75) cm²
= 2(468.75) cm² = 937.5 cm²

Area that can be painted using the paint of container = 9.375 m² = 9.375 × 100 × 100 cm²

Number of bricks that can be painted
=   \frac{Total \: area \: that \: can \: be \: painted}{ Surface \: area \: of \: each \: brick }
=  \frac{9.375 \times 100 \times 100 \: cm {}^{2} }{937.5 \: cm {}^{2} }  = 100

Hence, 100 bricks can be painted out of the paint given in the container.
8 0
2 years ago
Factor 9x^2 – 12x + 4
larisa86 [58]

Answer:

(3x-2)^2

Step-by-step explanation:

Factor out the expression.

6 0
2 years ago
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