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Firlakuza [10]
3 years ago
12

Art wants to cover an isosceles triangle with a height of 9 centimeters and a base of 7 centimeters in fabric. How much fabric d

oes he need?
Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

31.5 cm²

Step-by-step explanation:

Calculate area of a triangle with this formula:

Area = \frac{1}{2} base * height

Substitute in known values

Area = \frac{1}{2} 7 * 9

Multiply 7 by 1/2

Area = 3.5 * 9

Multiply

Area = 31.5 cm²

Hope this helps :)

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To prepare for wrestling season, Tommy wants to eat 24 grams of protein at breakfast. He knows that there are 3 grams of protein
lina2011 [118]

Answer:

1) The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is;

3·x + 6·y = 24

2) The equation in slope and intercept form is;

y = 4 - 0.5·x

Step-by-step explanation:

1) The given parameters are;

The amount of protein Tommy wants to eat for breakfast = 24 grams

The quantity of protein in a slice of bacon = 3 grams

The quantity of protein in an egg = 6 grams

Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat

The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is given as follows;

3·x + 6·y = 24

2) The equation in slope and intercept form is given by making y the subject of the above equation as follows;

3·x + 6·y = 24

6·y = 24 - 3·x

y = 24/6 -1/2·x

y = 4 - 0.5·x, which is in the slope and intercept form y = m·x + c

Where;

m = The slope = -0.5

c = The y-intercept = 4

5 0
3 years ago
Encontrar la Esperanza Matemática y Desviación Estándar del número de imperfecciones (y) en pizarra acrílica. (2 puntos) y 0 1 2
fredd [130]

Responder:

1,625; 0.8569

Explicación paso a paso:

y ___0 ____ 1 ____ 2 ____3

P (y) _1 / 8 ___ ¼ ___ ½ ____ 1/8

Valor esperado (E (x)): Σx * p (x)

= (0 * (1/8)) + (1 * (1/4)) + (2 * (1/2)) + (3 * (1/8)) = 1,625

La desviación estándar = sqrt (Var (x))

Var (X) = Σx²p (x) * E (x) ²

Var (X) = [(0 ^ 2 * (1/8)) + (1 ^ 2 * (1/4)) + (2 ^ 2 * (1/2)) + (3 ^ 2 * (1 / 8))] - 1.625²

Var (X) = (0 * (1/8)) + (1 * (1/4)) + (4 * (1/2)) + (9 * (1/8)) - 1.625 ^ 2

= 3.375 - 2.640625

= 0,734375

Desviación estándar = Sqrt (0,734375) = 0,8569

7 0
3 years ago
In algebra, why do you think that you are given many problems to solve that aren't really "real life" problems? For example, "Tw
Liula [17]

Answer:

Ummm because it makes you smarter???? I feel like this is a question to ask your teacher haha

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather
Oksana_A [137]

Answer:

0.18

Step-by-step explanation:

The relative frequency of eight graders who want fruit smoothie :

Number of eight graders who want fruit smoothie / total number of students surveyed

= 45 / 250

= 0.18

6 0
3 years ago
6x + 3y = -4<br> 15x + 7y = -8<br> how many solutions does the system of equations have?
dimulka [17.4K]
The system of equations has one solution
6 0
3 years ago
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