1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuki888 [10]
3 years ago
10

1a) Use the pythagorean theorem tofind the missing side length.

Mathematics
2 answers:
victus00 [196]3 years ago
7 0

<u>Answer with step-by-step explanation:</u>

1a) We are given a right angles triangle and we are to find the missing side length using the Pythagoras Theorem.

x =\sqrt {(6)^2+(8)^2}

x=\sqrt {100}

x = 10

1b) Writing the sine, cosine and tangent for angles a and b:

sin a =\frac {8} {10}

cos a =\frac {6} {10}

tan a =\frac {8}{6}

sin b =\frac{6}{10}

cos b =\frac{8}{10}

tan b =\frac{6}{8}

Lana71 [14]3 years ago
5 0

Answer:

1)

a)

We are given one leg of triangle as 6 km and the other leg is of length of 8 km.

Hence, the hypotenuse is calculated using Pythagorean theorem as:

x^2=8^2+6^2\\\\\\x^2=64+36\\\\x^2=100\\\\x=10

Hence, the hypotenuse of the triangle or the missing side x=10 cm.

Now we calculate trignometric  ratio with respect to angle a and b as:

b)

We know that:

Sine of an angle is ratio of perpendicular to hypotenuse.

Cosine of an angle is ratio of base and hypotenuse.

And tangent of an angle is ratio of perpendicular and base.

<u>Angle a:</u>

We have perpendicular=8

Base=6

Hypotenuse=10

Hence,

sin a=8/10

cos a=6/10

tan a=8/6

<u>Angle b:</u>

Perpendicular =6

Base=8

Hypotenuse=10

Hence,

sin b=6/10

cos b=8/10

tan b=6/8

You might be interested in
Can someone please answer for d and b
r-ruslan [8.4K]

Answer:

d=2√2, b=\frac{3\sqrt{2}}{2}

Step-by-step explanation:

first triangle is a 30-60-90

so, sides x-x√2-2x

x=2

therefore d=2√2

second triangle is 45-45-60

sides, 1-1-√2

which means b√2=6

b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator

b=6√2/4 , simplify

b=\frac{3\sqrt{2}}{2}

3 0
2 years ago
I need help please last question of test
Lisa [10]

Answer:

The slope in this graph is 1

6 0
3 years ago
Read 2 more answers
ASAPPP Help please!!! Attachment below!
STALIN [3.7K]

Answer:

26

Step-by-step explanation:

i used a caculator

8 0
3 years ago
In order for terms to be like terms they must have?
tresset_1 [31]
They must have the same variable with the same exponent. The coefficient doesn't matter much.
4 0
3 years ago
Read 2 more answers
How many ounces in 5 gallons?
liraira [26]
The answer is letter c, also just a tip, all i had to do was ask siri :)
3 0
2 years ago
Read 2 more answers
Other questions:
  • segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segmen
    6·1 answer
  • If i have a 78 for the year what can I make on my exam to pass
    7·1 answer
  • How do i solve this?
    14·1 answer
  • A tree that is 40 feet tall casts a 30 foot shadow. At the same time another tree casts a 20 foot shadow. How tall is the second
    9·2 answers
  • Plssssss let me know it will help a lot
    14·1 answer
  • Beyonce is solving a system of equations: 2x – 3y = -2
    5·1 answer
  • The sixth-grade chorus has a boy-to-girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?
    14·1 answer
  • A cement company is making 8 solid-cement spheres. Each sphere has a diameter of 2.5 ft.
    10·1 answer
  • Omar has a goal of walking 9,000 steps in one day. He has already walked 4,250 steps. You want to know how many more steps he ne
    10·1 answer
  • ammy the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the o
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!