Find the missing angles when given leg X and leg 24 and a 90 degree angle

Find the z score so that 25% of the standard normal curve lies to the left of z. remember that this means you are looking for th

marta [7]

This is the concept of probability and statistics, the z-score associated by the probability of 25% will be obtained using the z-tables, and hence we shall have:
P(x)=25=0.25
thus checking the z-score that gives us the probability of 0.25 we get:
-0.67
the answer is z=-0.67

5 0

4 years ago

Please help me with this trigonometry work!

igor_vitrenko [27]

Answer:

We have a triangle rectangle here.

We know that:

AC = 15

BC = 8

AB = 17

We know that in a triangle rectangle the longest side is the hypotenuse.

In the image we can see that the shorter side is the base, then BC is the base.

AC is the height.

AB is the hypotenuse.

Such that:

A is the top vertex.

B is the bottom right vertex

C is the bottom left vertex.

Now you need to remember the relations:

Sin(θ) = (opposite cathetus)/(hypotenuse)

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

then:

Sin (A) = (AC)/(AB) = 15/17 = 0.88

Cos(B) = (AC)/(AB) = 15/17 = 0.88

Tan(B) = (AC)/(CB) = 15/8 = 1.875

Now we want to find the measure of angle A.

We know that:

Sin(A) = 0.88

Then if we apply the Asin( ) function in both sides, we get:

Asin( Sin(A)) = Asin(0.88)

A = Asin(0.88) = 61.6°

(the Asin() function is the inverse of the sin() function)

Now we have:

sin(x) = 0.906

We do the same thing as before.

Asin(sin(x)) = Asin(0.906)

x = Asin(0.906) = 65°

And:

Sin(87°) = 0.999

3 0

3 years ago

The width of a rectangle measures (8.4x + 2.2) centimeters, and its length

lorasvet [3.4K]

The algebraic expression that will represent the perimeter in centimeters of the given rectangle is: $(25.8x +11.2) $ cm$

Recall:

Perimeter of a rectangle = 2(L + W)

Given the following dimension of a rectangle:

width (W) = (8.4x + 2.2) cm
length (L) = (4.5x + 3.4) cm

To find the expression that represents the perimeter, plug in the given values into the formula for perimeter.

Thus:

Perimeter = $2((4.5x + 3.4) + (8.4x + 2.2))$

Open the bracket

Perimeter = $2(4.5x + 3.4 + 8.4x + 2.2)$

Add like terms together

Perimeter = $2(12.9x + 5.6)$

Multiply

Perimeter = $25.8x +11.2$

Therefore, the algebraic expression that will represent the perimeter in centimeters of the given rectangle is: $(25.8x +11.2) $ cm$

Learn more here:

brainly.com/question/18869010

3 0

3 years ago

Find the degree of the monomial.

cupoosta [38]

Degree is the exponnet of the placeholder that is highest

so w^12
12 is highest power

so 12 degree

5 0

3 years ago

The table below represents the displacement of a turtle from its nest as a function of time: Time (hours) x Displacement from ne

andriy [413]

Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)

Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short, we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:

$slope= \frac{y_{2}- y_{1} }{ x_{2} - x_{1} } = \frac{93-27}{4-1}= \frac{66}{3}=22$

The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.

Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.

y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.

4 0

4 years ago