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makkiz [27]
3 years ago
12

If JO = 32, is triangle JKO is congruent PMN to triangle ? If so, find JN.

Mathematics
1 answer:
nalin [4]3 years ago
4 0
<span>They are congruent.. Look at sides JK and PM. JK = 25 PM is divided into two measurements, 19 and 6. 19 + 6 = 25 Therefore, JK = PM</span>
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The circumference of a circle is equal to n times its diameter. Estimate the circumference of a round swimming pool that has a d
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Answer:  An estimate done quickly: The circumference is about 75 ft.

Step-by-step explanation:

Round π to 3, and 24 to 25.  3 times 25 is 75

A more exact value would be 75.36

3.14 × 24 = 75.36

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At the beginning of the season, a sports writer predicts the teams that will finish in the top three places in the eastern, cent
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Step-by-step explanation:

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4 0
3 years ago
A rectangular pyramid has a height of 8 meters. The base is 7 meters in length and 15 meters in width two different triangular c
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Answer:

The difference in the areas of the cross section is 32 m²

Step-by-step explanation:

The given parameters are;

The height of the rectangular pyramid = 8 meters

The length of the base of the pyramid = 7 meters

The width of the base of the pyramid = 15 meters

Whereby triangular cross sections are formed through the vertex and perpendicular to the base, and to each other, we have;

The sides of the two triangles consists of the following;

1) Two slant height of the pyramid each

2) The two perpendicular lines joining the midpoints of the opposite sides of the base of the pyramid with length equal to the length of the adjacent side to the sides from which they are drawn which are 15 meters and 7 meters

3) The two lines and the corresponding slant height form triangles cross section which are perpendicular to each other.

the slant height, h_l, is given as follows;

h_l = √(8² + (15/2)²) ≈ 10.966

For the triangular cross section with base = 15 m

The area of the cross section = 1/2 × Base₁₅ × Height = 1/2 × 15 m × 8 m = 60 m²

For the triangular cross section with base = 7 m

The area of the cross section = 1/2 × Base₇ × Height = 1/2 × 7 m × 8 m = 28 m²

The difference in the areas of the cross section = 60 m² - 28 m² = 32 m².

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3 years ago
Jerry ran 4/3 of a mile in 4/18 of an hour. What was Jerry's rate of speed?
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Answer:

B, 6 miles per hour

Step-by-step explanation:

1. 4/3 of a mile in 4/18 of an hour, rewrite as (4/3 / 4/18)

2. Dividing fractions is multiplying by the reciprocal, so (4/3 * 18/4)

3. (4/3 * 18/4 = 72/12)

4. 72/12 can be simplified to 6/1 or 6.

5. Answer is B, 6 miles per hour

4 0
2 years ago
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