Please help i need it

A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β? 2. A r

kirza4 [7]

Alright, lets get started.

A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β?

Please refer the diagram I have attached.

Using SOH CAH TOA,

$sin 31.2 = \frac{b}{115}$

$b = 115 sin31.2$

Plugging the value of sin 31.2

$b = 115*0.518 = 59.57$ mm

Similarly,

$cos31.2 = \frac{a}{115}$

$a = 115cos31.2$

Plugging the value of cos 31.2

$a = 115*.8553 = 98.36$ mm

Now, for angle β

tan β = $\frac{98.36}{59.57}$

tan β = 1.65

Using tan inverse

β = 58.78°

So, the answer is a = 98.36 mm, b = 59.57 mm and β = 58.78° : Answer

Hope it will help :)

A right triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. What are the measurements for c, α, and β?

Please refer the diagram I have attahced.

a and b are given, we could side c by using Pythagorean theorem.

$c^2 = a^2 +b^2$

$c^2 = 505^2 + 286^2$

$c^2 = 255025+81796$

$c^2 = 336821$

Taking square root on both sides

c = 580.36 mm

Using SOH CAH TOA,

tan α = $\frac{505}{286}$

taking tan inverse

α = 60.48°

Similarly,

tan β = $\frac{286}{505}$

taking tan inverse

β = 29.52°

So, the answer is c = 580.36 mm, α = 60.48° and β = 29.52° : Answer

Hope it will help :)

7 0

3 years ago

Can someone help again I’m still in class

AnnZ [28]

Answer:

X3

Step-by-step explanation:

6x3=18

5x3=15

4x3=12

8 0

2 years ago

Read 2 more answers

Solve the following problems using Pythagoras. Include a diagram . a. How long must a ladder be to reach 12 ft up the wall, if t

RUDIKE [14]

The length of ladder used is 12.25 ft.

<h3>What is Pythagoras theorem?</h3>

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Solution:

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse^2 = Base^2 + Height^2

16^2 = B^2 + 8^2

B^2 = 256 - 64

B = √192 = 13.856 units

Therefore, the measure of the third side of a triangle is 13.856 units.

given:

base= 2.5 ft,

perpendicular= 12 ft

Using Pythagoras theorem,

H² = B² + P²

H² = 2.5² + 12²

H² = 6.25+ 144

H= 12.25 ft

Learn more about Pythagoras theorem here: brainly.com/question/343682

#SPJ2

6 0

1 year ago

Read 2 more answers

) Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds

anzhelika [568]

Answer:

Step-by-step explanation:

National car rental equation is

C = 14d + 0.20m

- where C= total cost, d = the number of days and m = the total number of miles driven.

7 0

1 year ago

Help with this math question please

kvv77 [185]

First question.

We will build up the 3-dimensional object from the dimensions shown in the view above. In doing this, the object is as shown in figure 1. So, we need to find the volume of this object. Let's cut off this object into two objects, so in doing this we can find the whole volume as the sum of the volume in green plus the volume in red (both are cubes), so:

$V_{t} = V_{g}+V_{r} = 8 \times 3 \times 5 + 8 \times 5 \times 8 = 440 ft^{3}$

So the answer is G.

Second question

The answer is D. Let's analyze it:

Given that r represents the radius of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:

$n = r^{2}+1$

$n=2^{2}+1=5$
$n=4^{2}+1=17$
$n=5^{2}+1=16$
$n=8^{2}+1=65$
$n=10^{2}+1=101$

These are the values of n shown in the table above.

6 0

3 years ago