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galben [10]
3 years ago
8

Samantha wants to find the height of a pine tree in her yard. She measures the height of the mailbox st 3ft and its shadow at 4.

8ft. Then she measures the shadow of the tree at 56ft. How tall is the tree?
Mathematics
1 answer:
Simora [160]3 years ago
7 0
The tree is about 35.01 feet tall.
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The algebra tiles represent the perfect square trinomial x2 10x c. what is the value of c? c =
devlian [24]

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

<h3>What are perfect squares trinomials?</h3>

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

(ax + b)^2 = a^2x^2 + b^2 + 2abx

Comparing this expression with the expression we're provided with:

x^2 + 10x + c

we see that:

a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

brainly.com/question/88561

6 0
2 years ago
A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?
s2008m [1.1K]
Calories used = Activity level*Weight*Duration

Activity level at 8 min/mile = 0.22 calories per minute
Weight = 180/2.2 = 81.81 kg
Duration = 8 minutes

Substituting;
Calories used = 0.22*81.81*8 = 144 calories
8 0
3 years ago
9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende c
GenaCL600 [577]

Answer:

a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) Por la fuerza de tensión sobre el cable del ascensor.

Step-by-step explanation:

a) La fuerza neta experimentada por el ascensor (F), en newtons, es:

F = m\cdot a (1)

Donde:

m - Masa, en kilogramos.

a - Aceleración, en metros por segundo cuadrado.

Si sabemos que m = 150\,kg y a = 4\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = 600\,N

La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) Si sabemos que m = 150\,kg y a = -6\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = -900\,N

La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.

8 0
3 years ago
The volume of a sphere is 2862π m3. What is the surface area of the sphere to the nearest tenth. PLEASE HELP AND QUICK!
coldgirl [10]

Answer:

<h3>A≈974.83</h3><h3>V Volume </h3><h3>2862</h3><h3>Step-by-step explanation:</h3>

<h3>Using the formulas</h3><h3>A=4πr2</h3><h3>V=4</h3><h3>3πr3</h3><h3>Solving forA</h3><h3>A=π⅓(6V)⅔=π⅓·(6·2862)⅔≈974.83372</h3>

<h3>brainliest pls and ur welcome</h3>

5 0
2 years ago
I need help on math true and false please
Oksanka [162]

Answer:

Step-by-step explanation:

1. False

2. False

3. True

4. True

5. True

6. True

7. True

8. True

9. True

10. False

5 0
2 years ago
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