Answer:
a = 
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.:
<em>Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.
My answer:
We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.
Given that: b=3 and c=4
so a =
We know that tangent relates opposite side of a right triangle with adjacent side.
Please have a look at the attached photos.
Answer:
This represents the graph area above the line y = 4x - 5 shaded.
Step-by-step explanation:
y > 4x - 5 is an inequality. First we graph y = 4x - 5, which has y-intercept (0, -5) and slope 4. Next, we shade all of the area above this line (because the inequality y > 4x - 5 says that all y values are above 4x - 5).
Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8
Answer:
RST Is congruent to R’’S’’T’’
Angle R is congruent to angle R prime is congruent to angle R double-prime
TS Is congruent to T’S’ Is congruent to T’’S’’
Step-by-step explanation:
we know that
A reflection and a translation are rigid transformation that produce congruent figures
If two or more figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
Triangles RST, R'S'T and R''S''T'' are congruent
That means
Corresponding sides
RS≅R'S'≅R''S''
ST≅S'T'≅S''T''
RT≅R'T'≅R''T''
Corresponding angles
∠R≅∠R'≅∠R''
∠S≅∠S'≅∠S''
∠T≅∠T'≅∠T''
therefore
RST Is congruent to R’’S’’T’’
Angle R is congruent to angle R prime is congruent to angle R double-prime
TS Is congruent to T’S’ Is congruent to T’’S’’
<h3>
Answer:</h3>
30 ft; 0.4 min
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you ...
... Sin = Opposite/Hypotenuse
Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...
... Hypotenuse = Opposite/Sin
Filling in the values from this problem, we have ...
... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft
The time it takes to travel that distance is given by ...
... time = distance/speed
... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min
