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3 years ago

Solve for x I need help on this question

Mathematics

1 answer:

AlexFokin [52]3 years ago

3 0

Answer:

$x\approx7.8$

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

$sin(\theta)=\frac{opposite}{hypotenuse}$

$sin(23^\circ)=\frac{x}{20}$

$20sin(23^\circ)=x$

$x=20sin(23^\circ)$

$x\approx7.8$

Therefore, the length of the opposite side is about 7.8 units

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How many spaces does it move over

WINSTONCH [101]

Answer:

The point at the bottom has to move over 2 to the left to be aligned with the point at the top however they will have a 3 space in between the 2 same for the point at the top, the top point moves over 2 to the right to be aligned with the bottom point, then they will have a 3 square space between each other.

6 0

3 years ago

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a pole that is 3.3 M tall casts a shadow that is 1.22 M long at the same time a nearby Tower cast a shadow that is 50.75 M long

jenyasd209 [6]

Since there is no distance between the pole and the base of the tower, we can assume that the pole is at the base of the tower.
We can create a right triangles between the pole and its shadow and between the tower and its shadow as shown in the figure. Let $x$ be the height of the tower. Since our triangles are similar the ratio between its sides is going to be proportional, so we can establish a proportion to find $x$ :
$\frac{x}{3.3} = \frac{50.75}{1.22}$
$x= \frac{(50.75)(3.3)}{1.22}$
$x=137.27$

We can conclude that the tower is 137.27 meters tall.

6 0

3 years ago

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Solve the system of equations

Elden [556K]

Answer:

Step-by-step explanation:

-4x + 2y = -30

-2x + 2y = -10

-4x + 2y = -30

2x - 2y = 10

-2x = -20

x = 10

-2(10) + 2y = -10

-20 + 2y = -10

2y = 10

y = 5

(10, 5)

6 0

3 years ago

A binomial experiment consists of 17 trials. The probability of success on trial 10 is 0.4. What is the probability of success o

Ivenika [448]

Answer:

Step-by-step explanation:

The probability of success from each event is always equal in a binomail distribtuion because the trails are independent of each other

7 0

3 years ago

suppose a hole of radius 1 is bored through a sphere of radius 2. what is the volume of the resulting shape

geniusboy [140]

Answer:

21.77

Step-by-step explanation:

Applying,

V = (4/3)π(R²-r²)³/²................. Equation 1

Where V = Volume of the resultant shape, R = radius of the sphere, r = radius of the hole bored, π = pie

From the question,

Given: R = 2, r = 1

Constant: π = 3.14

Substitute these values into equation 1

V = 4/3(3.14)(2²-1²)³/²

V = (12.56/3)(3)³/²

V = 4.19(5.196)

V = 21.77

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3 years ago