Answer:
17
Step-by-step explanation:
by Pythagoras
[tex]8 {}^{2} + 15 {}^{2} = {x}^{2} [/tex]
x=17
A rectangular garden has a width of 7x -2 and a length of 3x +10. Find the perimeter.
Answer:
20x + 16
Step-by-step explanation:
Width (w) = 7x - 2
Length (l) = 3x + 10
Perimeter = 2*(l + w)
= 2* (3x + 10 + 7x - 2)
= 2* (3x + 7x + 10 - 2 ) {Combine like terms}
= 2* ( 10x + 8) {Use distributive property: a(b +c) =(a*b) + (a*c)}
= 2*10x + 2*8
= 20x + 16
Kaylee deposited $1,450 in an account that earns 2.596 interest compounded annually. Which function represents the situation, where tis
the time in years?
fit) = 1450(2.5)
f(t) = 1450(1.25)
FO) = 1450(.025)
f(t) = 1450(1,025)
Answer:
[tex]f(t) = 1450(1.025)^{t}[/tex]
Step-by-step explanation:
Given
[tex]P =1450[/tex] -- principal
[tex]r = 2.5\%[/tex] --- rate
[tex]n = 1[/tex] --- compounded once a year
Required
Determine the function for compound interest
Compound interest f(t) is calculated as:
[tex]f(t) =P(1 + r/n)^{nt[/tex]
So, we have:
[tex]f(t) = 1450(1 + 2.5\%/1)^{1 * t}[/tex]
[tex]f(t) = 1450(1 + 2.5\%)^{t}[/tex]
[tex]f(t) = 1450(1 + 0.025)^{t}[/tex]
[tex]f(t) = 1450(1.025)^{t}[/tex]
Evaluate.Evaluate.
8−2⋅3+7
Step-by-step explanation:
6×10
=60
niceeeeeeeeeeee
The perimeter of a square is 28 cm. Find its area and the length of its diagonal.
help me
Step-by-step explanation:
area: 28/4=7
7x7=49
diagonal=square root 7²+7²
9.89949
9.90
hope it can help you
Select all the equations that are true when xis -4.
A)-8 = 2x
B) -12 = x.-3
C) -12 = x+x+x
D = -1
Ex+4 = -8
F = -16
Answer:
A,C and D are the correct options.
What is the value of x in the figure below?
Answer:
B;24
Step-by-step explanation:
help please! :)) ill do whatever it is that gets you guys points!!! please help!
Answer:
7.5 in.
Step-by-step explanation:
Answer:
7.5 in
Step-by-step explanation:
using pythagorean theorem
Hyp²= Opp² + Adj ²
where 9= hyp
5= adj
and x = opp
9²=x²+5²
81=x² + 25
collect like terms
81-25=X²
56=X²
since we're looking for X and not X²
we square root both sides
√x²=√56
x=7.483 approximately 7.5
Please ASAP let me know the answer!
how do you solve this ?
Answer:
x = 37 mm
Step-by-step explanation:
using the Pythagorean theorem:
m² = 13² - 5² = 169 - 25 = 144
m = √144 = 12 mm
x² = 12² + 35² = 144 + 1225 = 1369
x = √1369 = 37 mm
Answer:
x=37.3
Step-by-step explanation:
Since we're looking for "x" we need to use "the Pythagorean theorem".
13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.
Since x is the hypotenuse, it needs to be a number greater than 13 and 35.
c=√(a² + b²)
Making it c=√(13² + 35²)
Making C=37.336 or 37.3
Therefore making, x=37.3
If vector v = ( 9 ) find -v and 3v
-6
A total of 397 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Please answer quickly!!
Which set of data is represented by the box plot?
Answer:
C?
Step-by-step explanation:
Solve by elimination
x-2y=1
3х — 6y = 3
Answer:
Step-by-step explanation:
3(x-2y=1)
3x-6y=3
3x-6y = 3
3x-6y = 3
3x-6y = 3
-3x+6y=-3
0 = 0
x & y can be any value.
HELP PLS ITS ALMOST DUE PLS PLS PLS
Answer:
19. B
20. C
Step-by-step explanation:
Find the total area.
Answer:
area = 164.52 cm²
Step-by-step explanation:
area = (12x6) + (12x3x0.5x2) + (3.14)(0.5)(6²) = 164.52 cm²
200% of what number is 350?
Answer:
The answer is 175
The Bungling Brothers Circus is in town and you are part of the crew that
is setting up its enormous tent. The center pole that holds up the tent
is 70 feet tall. To keep it upright, a support cable needs to be attached to
the top of the pole so that the cable forms a 60° angle with the ground.
a) How long is the cable?
b) How far from the pole should the cable be attached to the ground?
Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
The length of the cable is 80.83 ft and the distance from the pole should the cable be attached to the ground is 40.42 ft and this can be determined by using the trigonometric function.
Given :
The Bungling Brothers Circus is in town and you are part of the crew that is setting up its enormous tent. The center pole that holds up the tent is 70 feet tall. To keep it upright, a support cable needs to be attached to the top of the pole so that the cable forms a 60° angle with the ground.a) The trigonometric function can be used in order to determine the length of the cable.
[tex]\rm sin\theta=\dfrac{h }{L}[/tex]
where h is the height of the pole, L is the length of the pole, and [tex]\theta[/tex] is the angle from the ground.
Substitute the known terms in the above expression.
[tex]\rm L=\dfrac{h }{sin\theta}[/tex]
[tex]\rm L = \dfrac{70}{sin60}[/tex]
L = 80.83 ft.
b) The trigonometric function can be used in order to determine the distance from the pole should the cable be attached to the ground.
[tex]\rm tan \alpha =\dfrac{h}{x}[/tex]
where x is the distance between pole and cable.
Substitute the known terms in the above expression.
[tex]\rm x = \dfrac{70}{tan 60 }[/tex]
x = 40.42 ft.
For more information, refer to the link given below:
https://brainly.com/question/21286835
6. Markets with elastic supply and demand curves: a) Have demand and supply curves that never intersect. B) Are very sensitive to a change in price. C) Have greater movements in quantity than prices. D) Are very sensitive to a change in quantity. E) Are only theoretical and do not exist in the real world.
Answer:
The correct statement is B (are very sensitive to change in price)
Step-by-step explanation:
Option B is correct because of the following reason -:
The degree to which a rise in price affects the quantity demanded or supplied is known as elasticity. In the case of elastic demand and supply, as the price rises, the quantity demanded falls and the quantity supplied rises more than proportionally. Inelastic price elasticity of demand and supply, on the other hand, induces a less than proportional change in quantity as prices change.
Hence , the correct option is B .
Please answer correctly! I will mark you as Brainliest!
Multiply the length by width by the height/3
7 x 6 x 8/3 = 112 in^2
The answer is 112 in^2
Answer:
112
Step-by-step explanation:
8
p varies directly as the square root of q.
p = 8 when q = 25.
Find p when q = 100.
Answer:
16
Step-by-step explanation:
p=k√q
8=k√25
8=k5
k=8/5
p when q=100
p=8/5*√100
p=8/5*10
p=16
A cylinder has a radius of 4 units and a height of 7 units. What is the volume in cubic units
Answer:
The answer is 352 cubic units
What is 5 - (-2) =
Plz help I’m thinking it’s 3 but don’t know
Answer:
7
Step-by-step explanation:
just add them
them you get answer
It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it takes her 15 minutes by bike to travel the same distance
Answer:
10 km/h
Step-by-step explanation:
I'm not really sure about this but no ones answering your question and I wanna help.
So basically to calculate the average speed you need to divide the distance travelled by time taken
But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km
Now that we have the time and distance all we have to do is find the average speed.
Average Speed = distance ÷ time
So 150 ÷ 15 = 10 km/h
Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.
Transformation of function f with a feature of the transformed function.
g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)What is asymptote?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique
Given function is : f(x)= log x
g(x)= -f(x+3)= - log(x+3)g(x)=-f(x-3) is vertical asymptote of x=3
j(x)= f(x+3) = log (x+3) thenj(x)= f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}h(x)=3f(x)-3 is domain of (0, ∞)
Learn more about asymptote here:
https://brainly.com/question/4084552
#SPJ2
Answer:
Step-by-step explanation:
Can someone plz help me
Answer:
54 sq ft
Step-by-step explanation:
6ft x 3 ft = 18 sq ft
9 ft x 4 ft = 36 sq ft
18 sq ft + 36 sq ft = 54 sq ft
The choices should be in sq ft, not in sq cm
The value of area in sq cm would be far greater than the value of area in sq ft.
Function B has a greater rate of change and a smaller y-intercept than function A. Which equation could represent function B?
Answer:
function A : y = 50 + 0.5x ; y = 40 + 0.6x
Step-by-step explanation:
Function is a relationship between values in set x & set y.
In case functional relationship equation is y = c + sx . c is the y intercept ie constant value of y when x = 0, & s is slope rate of change ie = change in y / change in x.
If function A is y = 50 + 0.5x. Intercept (c) = 50 , change rate (slope) = 0.5
If function B is y = 40 + 0.6x. Intercept (c) = 40 ie lesser, change rate (slope) = 0.6 ie greater
vocab word for this definetion
Answer:
whats the definition?
Step-by-step explanation:
At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?
Answer:
The integer that represents the change in temperature is 17.
Step-by-step explanation:
f (x) = -3x + 1
g(x) = x2 + 2x – 5
Find g (f (x))
Answer: f
= x = − 3 x + 1 = x = 1 4 g = x 2 + 2 x − 5f( x ) = f ( x )
Step-by-step explanation:
MATH PLEASE HELP!! HELP BADLY NEEDED....