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2 years ago

10/7=x/5 proportion

1 answer:

4 0

$\boxed{\boxed{\text{ if } \dfrac{a}{b}=\dfrac{c}{d} \text{ then }a\times d=b\times c}}$

$\dfrac{10}{7}=\dfrac{x}{5}\\\\10\times5=7\times x\\50=7x\\7x=50\\\\\boxed{x=\dfrac{50}{7}}$

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ohaa [14]

Answer:

Step-by-step explanation:

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2 years ago

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2 years ago

The angle 01 is located in Quadrant III, and cos(01) = -30/13

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Answer:

Step-by-step explanation:

Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.

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$hyp^{2}=opp^{2}+adj^{2} \\opp^{2}= hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\$

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2 years ago

A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this m

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Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

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The actual length of Salamander Trail based on the second map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

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Answer:

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