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Alenkinab [10]
3 years ago
11

Jake’s map shows the distance from the Bake Stars Cafe to the restaurant supply store as 3 centimeters. If the scale of the map

is 1 centimeter to 8 kilometers, what is the real distance from the shop to the store?
Mathematics
1 answer:
Olegator [25]3 years ago
8 0

Answer:

x = 24 km

Step-by-step explanation:

Given:

- Distance from Cafe to store on map d' = 3 cm

- The scale of map = 1 cm : 8 km

Find:

what is the real distance from the shop to the store?

Solution:

- We can use direct proportions to evaluate the actual distance from Cafe to the store as follows:

                              1 cm --------------> 8 km

                              3 cm --------------> x

- The actual distance x is as follows:

                              x = 8 km * 3 cm / 1 cm

                              x = 24 km

- Hence, the actual distance from Bake Stars Cafe to the restaurant supply store is 24 km.

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GrogVix [38]

<u>Answer</u>

48


<u>Explanation</u>

The product of the secant and the extension of the chord is normally equivalent to square of the tangent.

From the diagram given,

The length of the secant = 2+6

                                          = 8

Length of the extension of the chord = 6

length of the tangent = x

∴ x² = 8 × 6

      = 48

5 0
3 years ago
How many times does 6 go into 98
dmitriy555 [2]
16 times but the answer is 16.3(repeating)
5 0
3 years ago
Read 2 more answers
Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
dsp73

Answer:

<h3>B. 16°</h3>

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

<em>x = 16</em>

<em>Hence the value of x is 16°</em>

4 0
3 years ago
A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that
Snezhnost [94]
Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
x = sin^-1(0.65)
x = 40.5
rounded to nearest degree
x = 41 degrees


Hope this helps! :)
4 0
3 years ago
What is the solution for x in the equation?
erastovalidia [21]
The solution for x is D=-4

7 0
3 years ago
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