The legs of a triangle with a hypotenuse that measures 15 units long have lengths that are equal to 15 times the sine or cosine of the given angle.
leg 1 = (15 units) x (cos 19) = 14.18 units
leg 2 = (15 units) x (sin 19) = 4.88 units
The lengths of the legs are 14.18 units and 4.88 units.
Answer:
Find the slope of the line that passes through the points given in the table. The slope is 5.
Use one of the given points to find the y-intercept. Substitute values for x, y, and m into the equation y = mx + b and solve for b. The y-intercept is 1.
Write the formula as a function of n in slope-intercept form. The function is
f(n) = 5n+1 for n in the set of natural numbers.
Answer:
D. <B = 141°
Step-by-step explanation:
The <u>sum of interior angles</u> of a polygon is
(n-2)*180, where n is the number of sides!
Sum of angles for our polygon that has 7 sides must be:
(7-2) *180 = 5*180 = 900
Sum of angles that are in the picture are:
120+129+130+142+90+148+ <B = 759 + <B
<B = 900 -759 = 141°
Check our work:
120°+129°+130°+142°+90°+148°+ 141° = 900°✅
Given:
In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.
To find:
The length of the missing side.
Solution:
In a right angle triangle,

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.
Substituting Perpendicular = 8 inches and Base = 12 inches, we get



Taking square root on both sides, we get



The length of the missing side is 14.4 inches. Therefore, the correct option is D.
Answer:
40 yd
Step-by-step explanation:
Rectangular prism formula:
A = lwh
A = (2)(4)(5)
A = 40