In ΔHIJ, the measure of ∠J=90°, IH = 5, HJ = 4, and JI = 3. What is the value of the tangent of ∠I to the nearest hundredth?

Answers

Answer 1

Answer= 4/3 or 1.33

Explanation:

In HIJ, The Measure Of J=90, IH = 5, HJ = 4, And JI = 3. What Is The Value Of The Tangent Of I To The

Answer 2

The required triangle is possible, the value of the tangent of ∠I is 1.33.

What are trig ratios?

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.

In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.

Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:

HI² = HJ² + IJ²

5² = 4² + 3²

25 = 16 + 9

tan(∠I) = opposite/adjacent = HJ/ JI = 4/3

Rounding to the nearest hundredth, we get:

tan(∠I) ≈ 1.33

Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.

Learn more about trig ratios here:

https://brainly.com/question/14977354

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Related Questions

If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. c•15
B. C+15
C. C-15
D.C/15

Answers

B C+15 because Sum means adding

It’s B I had the same question and got it right

what's the answer? will give brainliest

Answers

Answer:

It's 1,3

Step-by-step explanation:

Coordinate plane and x is 1 and y is 3

Answer:

(1,3)

Step-by-step explanation:

The spot where both lines intersect is the solution to the system of equations.

Hope that this helps!

1) Find the remainder when 4x3 - 5x2 + 2x - 14 is divided by x -2
with the help of remainder theorem.
{ANS: R=2}

Answers

Answer:

remainder = 2

Step-by-step explanation:

A polynomial f(x) is divided by (x - a) then the remainder is f(a)

Here f(x) = 4x³ - 5x² + 2x - 14 is divided by (x - 2) then remainder is f(2)

f(2) = 4(2)³ - 5(2)² + 2(2) - 14

= 4(8) - 5(4) + 4 - 14

= 32 - 20 - 10

= 12 - 10

= 2

An office manager buys 34 chairs for the new office. Each chair cost $205. What is the total amount the office manager pays for chairs?

Answers

Multiply the number of chairs by the price of the chair:

34 x 205 = 6,970

Total spent = $6,970

2x+3y=15
X+y=6
Simultaneously equations

Answers

Answer:

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=15;x+y=6

Rewrite equations:

x+y=6;2x+3y=15

Step: Solvex+y=6for x:

x+y=6

x+y+−y=6+−y(Add -y to both sides)

x=−y+6

Step: Substitute−y+6forxin2x+3y=15:

2x+3y=15

2(−y+6)+3y=15

y+12=15(Simplify both sides of the equation)

y+12+−12=15+−12(Add -12 to both sides)

y=3

Step: Substitute3foryinx=−y+6:

x=−y+6

x=−3+6

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=3

Answer:

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

2x + 3y = 15 → (1)

x + y = 6 → (2)

Multiplying 2) by - 2 and adding to (1) will eliminate x

- 2x - 2y = - 6 → (3)

Add (1) and (3) term by term to eliminate x

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(3) = 15

2x + 9 = 15 ( subtract 9 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

A glass is 1/3 full then 40cm3 of orange juice is poured in the glass is now 5/7 full what is the total volume of the glass

Answers

Answer:

1/3 x + 40 = 5/7 x

7x +(21)(40) = 15x

21*40 = 8x

x = 105cm3

Step-by-step explanation:

In a class, 60% of the students are girls. There are 18 girls in the class.

a. How many students are in the class?

b.How many boys are in the class?

Answers

Answer:

a. Total of 45 students.

b. 18 Boys.

Answer:

There are 45 students and 18 boys in the class

2. Alin ang mas mabigat, isang kilong pako o isang libong
gramo ng bigas?

Answers

Answer:

Isang Kilong Pako

Step-by-step explanation:

Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.

Thank you Please mark as Brainliest :>

plzzz anserw ill give you more points and crown if correct plzzz =D
From midnight to 7:00 am, the temperature rose 3/10 °C each hour. If the temperature at midnight was −1°C, what was the temperature at 7:00 am?

Answers

Answer:

11/10°C

Step-by-step explanation:

7 x 3/10 = 21/10

Temperature at Midnight = -1°C

Temperature at 7.00am = 21/10 + (-1°C)

= 11/10°C

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:area of the circle=πr²

3.14 =3.14 ×r²

r²= 1

r. =1 millimeters

Triangle ABC is reflected across the line y= x. What are the coordinates of the vertex B'of the resulting triangle a'b'c?

Answers

the answer is 2,-5, you’re just flipping the coordinates around

Simplify the following by collecting like terms.
c + c +c+c

Answers

Answer:

Step-by-step explanation:

c + c +c+c

Factor out c

c(1+1+1+1)

c(4)

4c is c + c + c + c. You add all the like terms and make it a variable.

Explain how geographic factors impacted the early river valley civilization.

Answers

Following are the Geographical factors impacted the development of early river valley civilizations:

Ample water resources help them to feed, bath, wash and to do so many domestication works.

River valley means fertile plains, which is so good for agriculture as they can grow lots of different varieties of crops. They didn't have to be depend upon rain.

It helped in transportation, which were used for trading and movement from one place to another.

It protects them from enemy as at a time so many person can't attack over the residing civilization.

The most obvious way is that places with fertile soil and predictable water supplies had an advantage for growing crops, so they could support larger human populations. Many of the first civilizations were in river valleys because of this.

Judging by appearance, classify the figure in as many ways as possible.

Answers

Answer:

A. Quadrilateral, kite

Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?

Answers

Answer:

425000×0.0235=9987.5

379000×0.0235=8906.5

9987.5+8906.5=18894 that is the amount he gonna get

In a carnival game, players get 5 chances to throw a basketball through a hoop. If 7 out of 20 players made all 5 baskets, how many players out of 400 would you expect to make all 5 baskets?

Answers

Answer: 140

=====================================================

Work Shown:

7/20 = 0.35 = 35% of the 20 players made all five baskets.

If this trend holds up, then we should expect 35% of the 400 people to make all five baskets.

35% of 400 = 0.35*400 = 140

We expect about 140 people will make all five baskets.

Note how 140/400 = 0.35 = 35%

-------------

Through another alternative method, we can solve like this

7/20 = x/400

7*400 = 20*x ... cross multiply

2800 = 20x

20x = 2800

The team wons 80 medals

out of which 25% is gold

35% is silver

and rest is bronze

we need to find out the number of bronze medals that win by the team

The total percentage is 100

So, the remaining percentage is

= 100 - 25 - 35

= 40%

So, the number of bronze medal should be

= 40% of 80 medals

Answer:

it's 5

Step-by-step explanation:

Answer:

r = 5

Step-by-step explanation:

if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality

35 = 7r

60 = 15r

100 = 20r

'r' is 5

En el autoservicio del barrio reciben al proveedor de gaseosas cada 8 dias,al de lacteos cada 3 dias y al de galletitas cada 12 dias . El 5 de abril fueron los 3. A¿Cuantos dias pasaran para qie se encuentren nuevamente?

Answers

Respuesta:

24 días

Explicación paso a paso:

Para calcular el día en que se volverán a reunir después del 5 de abril; tomamos el mínimo común múltiplo de la cantidad de días de cada visita:

Por lo tanto, tomamos el mínimo común múltiplo de 8, 3 y 12.

Múltiple de:

8: 8, 16, 24, 32, 40, 48

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

12:12, 24, 36, 48, 60

El mínimo común múltiplo es 24;

Todos se volverán a encontrar después de 24 días.

5 de abril + 24 días = 29 de abril

please help explain it step by step

Answers

Answer:

452 m

Step-by-step explanation:

5
4.)What function rule models the values in the table?
Х
4
8
12

16
Y
4.
8
12
16
20
a.) Y = -x + 4
b.)Y = x + 4
c.) Y = 4x + 4

Answers

Answer: 8

Step-by-step explanation: 4x4=0

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