The value of 'x' is 24.2 and the value of 'y' is 46.5.

To solve this, we do the following steps.
Step 1: Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.
Step 2: Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
Step 3: Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
Step 4: Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
Step 5: Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.
 y = a + b
y = 17.1 + 29.4
y = 46.5

And there you have it! Hope this helps.

5 0

3 years ago

Question Write the following function in terms of its cofunction. tan(78)

Nataliya [291]

Answer:

trigonometric function whose value for the complement of an angle is equal to the value of a given trigonometric function of the angle itself the sine is the cofunction of the cosine.

5 0

2 years ago

How to solve??????????HELP

nadezda [96]

I presume you're talking about number 3?

Solution

I = prt (I being the interest)

I =

$5000 \times 5 \times.05$

I = 1,250$

3 0

3 years ago

Mariner Middle School has 550 students the height of each student is measured and recorded at the beginning of the year . A scho

tatiyna

Answer:

C) A histogram because the class organizes the data into different ranges or intervals.

Step-by-step explanation:

A histogram is a graphical representation of numerical data. It is an approximate approach that groups a set of data into ranges on the x axis and having their match frequencies on the y axis.

A histogram makes it possible to represent a large amount of data and frequency in just one graph because of the interval/range option.

Because Mariner Middle school has a large number of students (550) and their height organized into equal intervals, the histogram is the best option.

3 0

3 years ago