Answer:
15.5 cm
Step-by-step explanation:
Since it's corrected to the nearest centimeter, the place value of the units place is 1.
1/2 = 0.5
Upper bound = 15 + 0.5 = 15.5 cm
Hope this helps!
What is the length of leg s of the triangle below?
45°
90°
45°
10v2
Answer:
B
Step-by-step explanation:
The 45 45 90 triangle means that the hypotenuse is just one of the two legs multiplied by rad2. This means that leg s is 10.
The length of the leg is 10.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 45 = Opposite face to angle 45/ Hypotenuse
1/√2 = s / 10√2
s = 10√2 / √2
s = 10
Thus,
The length of the leg is 10.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ7
In a flight of 600km,an aircraft was alowed down due to bad weather. Its average speed for the trip reduced to 200km/hr and the time increased by 30 minutes. Find the duration of the flight.
Answer:
The duration of the flight is 1 hour
Step-by-step explanation:
Since average speed = distance traveled / time
Let the duration of the flight be in z hours
So, (600km/z hours) - (600km/ z hours + (1/2)) = 200km/hr
Note: 1/2 is used as a result of 30 minutes increased in time which is half an hour.
200 = (600/z ) - (600/z + (1/2))
Multiply 2 through on (600/z + (1/2))
200 = (600/z ) - (1200 / (2z + 1))
Divide through by 200
= z(2z + 1) = 3
convert to quadratic equation
2z² + z = 3
2z² + z - 3 = 0
(2z + 3) ( z-1) = 0
z-1 = 0
z = 1 hour
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?
Answer:
4 miles apart. the answer this question.
How do I do this trigonometry problem? or where do I even start.
Answer:
∅=6
Step-by-step explanation:
let ∅=x
[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]
pls help me ill give brainliest and no links pls ty!:)
Given : GH bisects ∠FGI
It means : ∠FGH and ∠HGI are equal
Given :
∠FGH = (5x - 8)°
∠HGI = (6x - 15)°
⇒ 5x - 8 = 6x - 15
⇒ 6x - 5x = 15 - 8
⇒ x = 7°
Substituting the value of x, We get :
∠FGH = 5(7) - 8 = (35 - 8) = 27°
∠HGI = 6(7) - 15 = (42 - 15) = 27°
∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°
Which expression(s) are equivalent to the given expression?
6x−18y+36
2(3x−9y+18) 2 times open paren 3 x minus 9 y plus 18 close paren
3(2x−6y+12) 3 times open paren 2 x minus 6 y plus 12 close paren
4(2x−14y+32) 4 times open paren 2 x minus 14 y plus 32 close paren
6(x−3y+36) 6 times open paren x minus 3 y plus 36 close paren
9(6x−2y+4)
Answer:
2 ( 3x - 9y + 18)
3 ( 3x - 6y + 12)
Inclusively:
6 ( x - 3y + 6)
Calculate the length of side WX:
Answer:
WX = 38
Step-by-step explanation:
To get this, we are gong to use the cosine rule
We have the general form as;
a^2 = b^2 + c^2 - 2bc Cos A
Let WX be a
a^2 = 17^2 + 26^2 -2(17)(26) cos 123
a^2 = 1446.46
a = √1446.46
a = 38.03
Hypothesize why human artifacts on the Moon might need to be protected.
because moon artefacts are prone to damage and need to be protected
The triangles below are similar. Find the length of ED.
Answer:
ED = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{ED}{BA}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values
[tex]\frac{ED}{9}[/tex] = [tex]\frac{12}{18}[/tex] ( cross- multiply )
18 ED = 108 ( divide both sides by 18 )
ED = 6
6. Suppose Daniel decides to cheat and makes up 6 numbers. He writes down
2, 4, 12, 18, 19, and 25. In order for the rest of his project to correctly
match this data, what would he have to change and how? What parts could
stay the same? Explain your reasoning.
Change:
Same:
PLEASE SOMEONE HELP IM IN NEED
Answer:
he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.
6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of one side of the base by the function h(s) = 900
a. What value of y satisfies the equation y=h(10). What does this tell you about the box?
Answer:
Step-by-step explanation:
Its 43567 bc I searched it up
WILL GIVE BRAINLIST
WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”
THE PRODUCT OF 4 AND A NUMBER
Answer:
x+14.
Sum of a number and 14 is x+14.
Question in the picture ^
Step-by-step explanation:
try use ruler for AB , AC , & BC ,
then find the area of
A patio deck in the shape of a parallelogram has three square cutouts for trees to grow through each square has a side length of 4 1/2 ft what area of wood boards is needed to cover the deck while leaving room for the square cutouts
Answer:
1048.05 square feet.
Step-by-step explanation:
The area of the deck is 50.4 x 22 = 1108.8 square ft.
The area of 1 cut out is 4.5 x 4.5 = 20.25
There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.
The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.
A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?
Step-by-step explanation:
the equation is
c =>
4.50 + 1.70 w = 16
please help 30 points and if I get correct answer i will brainiest them
Answer:
9,-4
Step-by-step explanation:
-9×4=-36
Negative × Positive = Negative
A watch was purchased for Rs. 150 and sold for Rs.300. Find the profit percent.
a.150%
b.50%
c.100%
d.15%
Answer:
c. 100%
Step-by-step explanation:
profit or loss = (sale price - purchase price)/(purchase price) * 100%
profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%
profit or loss = (Rs. 150)/(Rs. 150) * 100%
profit or loss = 1 * 100% = 100%
Since the result is positive it is a profit.
Answer: The profit was 100%.
How many four digit numbers cannot be divided by 5?
Answer:
2556
Step-by-step explanation:
Consider the following statement. If r is any rational number and s is any irrational number, then r s is irrational. (a) Which of the following is a negation for the statement? If r is any rational number and s is any irrational number, then r s is rational. If r is any irrational number and s is any rational number, then r s is irrational. There is a rational number r and an irrational number s such that r s is irrational. There is a rational number r and an irrational number s such that r s is rational. (b) What are some values of r and s for which the given statement is false (that is, for which its
Answer:
(a) If r is any rational number and s is any irrational number, then r/s is rational
(b) The statement is false when r is 0
Step-by-step explanation:
Given
[tex]r \to[/tex] rational number
[tex]s \to[/tex] irrational number
[tex]\frac{r}{s} \to[/tex] irrational number
Solving (a): The negation
To get the negation of a statement, we only need to negate the end result
In other words, the number type of r and s will remain the same, but r/s will be negated.
So, the negation is:
[tex]r \to[/tex] rational number
[tex]s \to[/tex] irrational number
[tex]\frac{r}{s} \to[/tex] rational number
Solving (b): When r/s is irrational is false
Given that:
[tex]\frac{r}{s} \to[/tex] irrational number
Set r to 0
So:
[tex]\frac{r}{s} = \frac{0}{s}[/tex]
[tex]\frac{r}{s} = 0[/tex] -- rational
Hence, the statement is false when r is 0
please help im very confused
an article which cost money 150 was sold at a loss of 5%.what was the selling price?
Answer:
142.5
Step-by-step explanation:
150/x=100/95
95*150/100=
142.5
Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.
Answer:
30/5=6
Step-by-step explanation:
There’s 30 fish put into five bowls, and there’s six fish in each
Tracy's team won 75% of their games last year. They played 12 games. How many games did they win?
Answer:
9 games.
Step-by-step explanation:
You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.
can someone help me please with solution
Please help !!!!!!!!
Answer:
C = (4,4)
It is (4,4) because it means that it is twice as large as the original coordinates.
Which expression entered into a graphing calculator will return the probability
that at most 10 heads come up when flipping a coin 25 times?
A. binomcdf(25, 10,0.5)
B. binomcdf(10, 0.5, 25)
C. binomcdf(25, 0.5, 10)
D. binomcdf(10,25, 0.5)
SUBMIT
Patricia y Armando tienen $220 entre los dos. Patricia le da a Armando $30 de tal forma que ambos tendrán la misma cantidad de dinero. ¿CUANTO DINERO TIENE CADA UNO?
Answer:
Patricia's amount of money = $125
Armando's amount of money = $95
Step-by-step explanation:
Given:
Total amount of money = $220
Patricia have $30 more than Armando
Find:
Amount of money each have.
Computation:
Assume;
Patricia's amount of money = a
So,
Armando's amount of money = a - 30
So,
a + a - 30 = 220
2a - 30 = 220
2a = 250
a = 125
Patricia's amount of money = $125
Armando's amount of money = 125 - 30
Armando's amount of money = $95
*URGENT*
PLEASE HELP ILL GIVE BRAINLIEST !!!!!!
The expression 2 - x-1/x+2
is equivalent to
A. 1 - 3/x+2
B. 1 + 3/x+2
C. 1 - 1/x+2
D. 1 + 1/x+2
The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
We have to find, which equation is equivalent to the given expression.
The given expression is,
[tex]= 2- \dfrac{x-1}{x+2}[/tex]
To determine the equivalent expression following all the steps given below.
Step1; Taking LCM in the equation,[tex]\rm = 2-\dfrac{x-1}{x+2}\\\\= \dfrac{2(x+2) - (x-1)}{x+2}\\\\= \dfrac{2x+4-x+1}{x+2}\\\\[/tex]
Step2; Solving the equation,[tex]= \dfrac{2x+4-x+1}{x+2}\\\\= \dfrac{x+5}{x+2}\\\\[/tex]
Step3; rewrite the equation in the small factors,[tex]=\dfrac{x+5}{x+2}\\\\= \dfrac{x+ 2+3}{x+2}\\\\[/tex]
Step4; By using partial fraction rewrite the equation,[tex]= \dfrac{x+2}{x+2} + \dfrac{3}{x+2}\\\\= 1 + \dfrac{3}{x+2}[/tex]
Hence, The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
For more details refer to the link given below.
https://brainly.com/question/2264568
5.88 pts
> A statue of George Washington is in Druid Hill Park. Elliot stands 16 ft away from the
statue, and places a mirror 12 ft from the statue (4 ft from his feet). He can see the
top of the statue in the mirror. If Elliot's height is 6 ft. How tall is the statue?
O 2 ft
O 18 ft
0 24 ft
O 8 ft
Answer:
18 ft
Step-by-step explanation:
Similar triangles are proportional
Ratio of vertical legs = Ratio of base legs
x/6 = 12/4
multiply both sides by
x = 12/4 * 6
x = 18 ft
