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alex41 [277]
3 years ago
10

Sally has a game piece shaped like a square pyramid. The dimensions are shown in the net.

Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0

Answer:

56 cm^2

Step-by-step explanation:

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What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer. 2. 7 units 3. 2 units 4. 5 units
worty [1.4K]

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

The value of the z is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

<h3>What is law of sine?</h3>

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

\dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c}

Here A,B,C are the angle of the triangle and a,b,c are the sides of that triangle.

Given information-

The triangle for the given problem is attached below.

In the triangle the base of the triangle is 2.6 units long.

The sine law for the given triangle can be written as,

\dfrac{\sin X}{x} =\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}

As the value of y side is known and the value of z has to be find. Thus use

\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}

Put the values,

\dfrac{\sin 51}{2.6} =\dfrac{\sin 76}{z}

Solve it for the z,

z=\dfrac{\sin 76\times 2.6}{\sin 51}\\z=3.2462

Hence the value of the z is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

Learn more about the sine law here;

brainly.com/question/2264443

4 0
2 years ago
In the formula, v=L(1-
wolverine [178]
The value of the the car is given by:
V=L(1-d.n)
thus, the value of v when L=$21000 and d.n=0.7 will be:
V=21000(1-0.7)
V=21000×0.3
V=$6300

Answer: Present value of the car is $6300
3 0
3 years ago
In the following figure, the value of x is____
zubka84 [21]

Answer:

x ≈ 8.3 ( to the nearest tenth )

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos41° = \frac{adjacent}{hypotenuse} = \frac{BC}{AB} = \frac{x}{11}

Multiply both sides by 11

11 × cos41° = x, thus

x ≈ 8.3

7 0
3 years ago
The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that
wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \lambda e^{-\lambda x}

In which \lambda is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\lambda x}

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

P(X \leq 5) + P(X > 5) = 1

In all 3 cases, we want P(X > 5). So

P(X > 5) = 1 - P(X \leq 5)

In which

P(X \leq 5) = 1 - e^{-5\lambda}

(a) lambda=.5

P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821

(b) lambda=0.9

P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111

(c) lambda=1.1

P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041

7 0
3 years ago
What is the solution to the equation 7/8 (X -1/2) =49/80
schepotkina [342]

Answer:

the answer of given question is 1/5

3 0
2 years ago
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