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
Explanation:
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
#SPJ2
Related Questions
Factorize x²+7x+10. Show working please
Answers
Answer:
(x + 2)(x + 5)
Step-by-step explanation:
Given
x² + 7x + 10
Consider the factors of the constant term (+ 10) which sum to give the coefficient of the x- term (+ 7)
The factors are + 2 and + 5 , since
5 × 2 = + 10 and 2 + 5 = + 7 , then
x² + 7x + 10 = (x + 2)(x + 5) ← in factored form
If X = 4 units, Y = 10 units, and h = 9 units, what is the area of the trapezoid shown above?
Answers
Step-by-step explanation:
hope the picture above help u to understand:)
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
=====================================================
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
x = 2800/20 ... dividing both sides by 20
x = 140 which is the same result as before
XxxxxxxxxxxxxxxxxxxxxxxxxxxxxxX
Simplify the following by collecting like terms.
c + c +c+c
Answers
Answer:
4c
Step-by-step explanation:
c + c +c+c
Factor out c
c(1+1+1+1)
c(4)
4c
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
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters. What is the volume of the warehouse?
Answers
Answer: [tex]20,706\ m^3[/tex]
Step-by-step explanation:
Given
The warehouse has the following dimension
Height is [tex]h=8\frac{1}{2}\ m[/tex]
[tex]h=\dfrac{17}{2}\ m[/tex]
Length is [tex]l=120\ m[/tex]
Width is [tex]w=20\frac{3}{10}\ m[/tex]
[tex]w=\dfrac{203}{10}\ m[/tex]
Volume of the warehouse is the product of height, length and width
[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]
Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].
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!
This is my hw. heelp
Answers
Answer:
1/14
Step-by-step explanation:
Explain how geographic factors impacted the early river valley civilization.
Answers
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.
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
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
Please help if you can!!!!
Answers
Answer:
about 22 square units
Step-by-step explanation:
sana makatulong
Answer:
C: About 22 square units
Step-by-step explanation:
YW
Judging by appearance, classify the figure in as many ways as possible.
Answers
Answer:
A. Quadrilateral, kite
100 Points
Solve x^2 -6x=-5 by completing the square. Show all work for the steps below. (a) For x^2 -6x+c+-5+c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x.
Answers
Answer
-2c+5/6
hope it helps
Em uma competição esportiva uma equipe ganhou 80 medalhas sendo que 25% de ouro 35% de prata e o restante de blusa e qual o número de medalhas de bronze que essa equipe ganhou
Answers
Answer:
32 medals
Step-by-step explanation:
Given that
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
= 32 medals
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
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
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
please help explain it step by step
Answers
Answer:
452 m
Step-by-step explanation:
I need help:)
please
Answers
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
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4
Answers
Answer:
jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.
Step-by-step explanation:
5-2=3
3-1=2
8-4=4
Answer:
jeff 3 apples, kyle 2 apples, kelsea 4 apples
total apples left = 9 apples
total apples eaten = 7 apples
total apples = 16 apples
Step-by-step explanation:
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
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
the sum of the two fractions is 9/26. if one of the fraction is 1/13, find the other
Answers
Answer:
7/26
Step-by-step explanation:
let the other fraction be x
according to the question,
1/13 +x =9/26
x = 9/26 - 1/13
take lcm of the denominator . lcm=26
x = 9*1 - 1*2/26
x = 9-2/26
x=7/26
25x + 22x + 9 = 180.......
Answers
[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅
Step-by-step explanation:-
[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]
To verify:-
[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
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
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:
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
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
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 :>
