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evablogger [386]
3 years ago
14

The scale of a map is 4 cm: 15 km. If the distance on the map between two cities is 7 cm, what is the actual distance?

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer:

26.25 km

Step-by-step explanation:

Step up a portion.  Here, 4 cm is to 7 cm as 15km is to x km

4/7 = 15/x

Now solve for x by cross multiplying

4x = 105

  x = 105/4    (divide by 4 on both sides)

  x = 26.25 km    (simplify)

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a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is
nekit [7.7K]

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = \frac{adjacent}{hypotenuse} = \frac{12}{l} ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = \frac{12}{cos70} ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

4 0
3 years ago
Lim t^4 - 6 / 2t^2 - 3t + 7
Harman [31]

I think you meant to say

\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}

(as opposed to <em>x</em> approaching 2)

Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}

6 0
3 years ago
Help please ........
Licemer1 [7]

The answer would be A) 2,640.

In order to find this we must first find an amount of people per square feet. Since we are given that 10 people fit in a 5x5 square, we know that 10 people fit in 25 square feet. This will be the basis for our final calculation.

Now we need to find how many square feet we have. Since it is a quarter of a mile long, we'll divide the number of feet in a mile by 4.

5,280/4 = 1320.

Now we take the length and multiply it by the width, which is 5ft.

1320 * 5 = 6,600 square feet.

So we now know the size of the crowd. We can use that and multiply it by the factor that we found at the start to find the number of people.

6,600 square feet * 10 people/ 25 square feet = 2,640 people.

8 0
4 years ago
Chelsea and her friends ate 12 of 16 apples she purchased. What percent of apples did they eat?
kow [346]
The answer is 75% good luck ✔︎
4 0
3 years ago
Read 2 more answers
Find the value of X<br> Please help I’ll give brainliest
meriva

Answer:

60

Step-by-step explanation:

180-140=40, 180-(80+40)=60

4 0
3 years ago
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