The mathematics problem involves a scale factor. The real-world schoolyard measurement of 52 meters gets scaled down by the scale factor of 4, resulting in a width of 13 centimeters for the schoolyard in Sophia's scale drawing.
The aspect of this question is a scale factor which is a concept in mathematics, used in geometry and real-world utilizations such as maps and scale drawings. In this case, Sophia used a scale of 1 centimeter to 4 meters for her drawing.
To determine the width of the schoolyard in the drawing, we apply the scale. If 1 centimeter corresponds to 4 meters, we divide the real width of the schoolyard, 52 meters, by the scale factor of 4
This calculation (52 / 4) results in 13. Thus, the schoolyard would measure 13 centimeters wide in Sophia's scale drawing.
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Answer:
13 cm
Step-by-step explanation:
The scale of the drawing was 1 centimeter : 4 meters.
x cm : 52 m Divide by 4
13 cm : 52 m
A right triangle contains a right angle, so it must have two sides that are perpendicular. If the slopes of two sides can be shown to be negative reciprocals of each other, then it can be concluded that a right angle is formed. If a triangle contains a right angle, then it is a right triangle.
16
18
20
Answer:
18
Step-by-step explanation:
Let
S = sum of the measures of the interior angles of a polygon
n = number of sides of a polygon
The equation is
S = (n - 2) * 180°
Where,
S = 2,880°
S = (n - 2) * 180°
2,880° = (n - 2) * 180°
2,880° = 180°n - 360°
2,880° + 360° = 180°n
3,240° = 180°n
Divide both sides by 180°
n = 3,240° / 180°
n = 18
Good evening everyone, the correct answer is 18 sides.
A polygon with 18 sides' interior angles will add up to 2880 degrees.
Have a blessed night.
Answer:
Y=3x
Slope: 3
Y int. (0,0)
Y=-2/3x-3
Slope: -2/3
Y int (0,-3)
Step-by-step explanation:
The width of the lake is approximately 4.93 kilometers.
To calculate the width of the lake, you can use trigonometry. You have a triangle with one side of 5 km (from point C to point A), another side of 8 km (from point C to point B), and an included angle of 36 degrees at point C.
You can use the law of cosines to find the third side, which is the width of the lake (let's call it "x"). The law of cosines states:
Where:
c is the side you want to find (the width of the lake, in this case).
a is the side opposite to angle A (5 km).
b is the side opposite to angle B (8 km).
C is the included angle at point C (36 degrees).
So, plug in the values:
(36 degrees)
Now, you can solve for x:
(36 degrees)
(36 degrees)
Now, you'll need to calculate the cosine of 36 degrees, which is approximately 0.809.
Now, take the square root of both sides to find the width of the lake:
x ≈ √24.28
x ≈ 4.93 km
So, the width of the lake is approximately 4.93 kilometers.
for such more question on triangle
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Hi mods, I do have a link in this answer but it is a link to the spanish version of brainly since this user seems to speak spanish.
Por favor, traduzca su pregunta al inglés o encuentre la versión en español de Brainly (https://brainly.com.br/ o https://brainly.lat/.)
Estoy usando el traductor de google, lo siento por el mal español
ver diagrama adjunto abajo (el asombrosamente dibujado)
podemos formar un triangulo
Usa la ley de los cosenos del segundo apego.
Queremos encontrar el valor de c que representa el ancho del lago
En este problema, a=5, b=8, y C=36°
c≈4.92734 km
el ancho del lago es de aproximadamente 4.93km