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
MariettaO [177]
2 years ago
12

Find the tangent of ∠I.

Mathematics
1 answer:
snow_tiger [21]2 years ago
8 0

The simplified, rationalized form is tan I = √70/5

<h3>SOH CAH TOA identity</h3>

From the given diagram, we are given the following parameters

  • Adjacent to m<I = IG
  • Hypotenuse = √95

According to the SOH CAH TOA identity;

tan m<I = opp/adj

tanm<I = Determine the opposite side using the pythagoras theorem:

GH² = (√95)² - 5²

GH² = 95 - 25

GH² = 70

GH = √70

Determine the value of tanm<I

tan I = √70/5

Hence the simplified, rationalized form is tan I = √70/5

Learn more on SOH CAH TOA here: brainly.com/question/20734777

You might be interested in
PLEASE HELP ME !ASAP!!
podryga [215]

Solution :

First term, a₀ = -10 .

Common difference of A.P. , d = -8 - (-10) = 2 .

Last term, aₙ = 24 .

We know, last term is given by :

aₙ = a₀ + (n-1)d

24 = -10 + (n-1)×2

2n - 2 = 34

n = 18

Now, sum of series is given by :

S_n = \dfrac{n}{2} \times ( 2a+(n-1)d)\\\\S_n = \dfrac{18}{2} \times ( 2\times -10 + ( 18 -1) \times 2)\\\\S_n =  126

Hence, this is the required solution.

7 0
3 years ago
Hamad made a cuboid of size 2cm X 3cm X 4cm. How many such cuboids will be required to make a cube?
bonufazy [111]

Answer:

576 cuboids

Step-by-step explanation:

Let

x -----> the length side of the cube

n -----> number of cuboids that are needed

we know that

The volume of the cuboid is equal to

V=(2)(3)(4)=24\ cm^{3}

The volume of the cube is equal to

V=x^{3}

Find the number of cuboids that are needed

(n)24=x^{3}}

n*24 must be a perfect cube

so

The minimum value that satisfied n to make n*24 a perfect cube is n=576

576*24=13,824=24^{3}

6 0
3 years ago
H(j + i) - k5 + h<br> when h = 3, i = 4, j = 2, and k = 1<br> pls put how you did it
VikaD [51]

Answer:

16

Step-by-step explanation:

First you want to plug in all the numbers where the letters are

h ( j + i )- k(5) + h

3 ( 2 + 4 )- 1(5) + 3

After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.

6 + 12 - 1(5) + 3

Then you just follow PEMDAS to solve for the rest

6 + 12 - 5 + 3

18 - 5 + 3

13 + 3

16

6 0
3 years ago
I WILL GIVE BRAINLEST
Elan Coil [88]

Step-by-step explanation:

( 0,-4) that the answer

8 0
4 years ago
(Joel uses the incorrect expression 0.95(190)(0.8) to calculate his total. He finds that the tablet will cost him a total of $14
Bond [772]
He had 53020 jdjwjsjuakdjdhw
8 0
3 years ago
Other questions:
  • Solve the equation. 6 = 2(x + 8) - 5x<br> A. 2/3 <br> B. 3 1/3 <br> C. - 2/3 <br> D. -3 1/3
    11·2 answers
  • How many 1/4 cup servings are in 3 cups of chololate?
    13·1 answer
  • Use the grid to create a model to solve the percent problem. 18 is 30% of what number?  
    6·2 answers
  • −6 + 4 = −2 + 8 = −3 − 4 = 7 − 8 =
    7·1 answer
  • Please help meeee I need it
    5·1 answer
  • How many solutions does the system of equations below have?<br> y=3x+4 <br> y+6x=3x
    6·1 answer
  • Plz help find the volume of the cylinder plz
    13·1 answer
  • Please help asap!
    11·1 answer
  • HELP ME WILL GIVE BRAINLY
    13·1 answer
  • Solve for X please hurry
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!