The length of the other leg of a right angle triangle is, 10.95 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units.
Now, By the Pythagoras theorem, we get;
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ 13² = 7² + Base²
⇒ 169 = 49 + Base²
⇒ Base² = 169 - 49
⇒ Base² = 120
⇒ Base = √120
⇒ Base = 10.95 units
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What is the slope of the line with points located at (5,3) and (-3,3)?
Answer:
Zero
Step-by-step explanation:
Given the situation: Nick takes 7 steps up the stairs of the Tanjay City Science High School and then 5 steps to a landing area. Write an expression the represents the number of steps nick has taken.
Answer:
7 + 5 = 12
Step-by-step explanation:
7 steps plus 5 steps equals 12 steps
What are the x- and y-intercepts of the graph of the equation 5x - 6y = 60?
2
5
2
What value of t is the solution of the equation
above?
Answer:
which has two solutions: x=-10.35 and 1.35.
Step-by-step explanation:
What is the equation of the line that passes through the point -2,-3 with a slope of 2
show work please
Answer:
Step-by-step explanation:
y + 3 = 2(x + 2)
y + 3 = 2x + 4
y = 2x + 1
4. The area of a square field is 100 acres. Find its perimeter.
Answer:
40
Step-by-step explanation:
Assuming that square has 4 sides equal to to each other
We can say "a" for each side
The forumla for area of the square is [tex]a^{2}[/tex]
And the perimeter forumla is 4a
[tex]a^{2}[/tex]=100
a=10
4a=40
Negative three-fourths = StartFraction x over 24 EndFraction?
Answer:
x = -18
Step-by-step explanation:
[tex]LCD=24\\-\frac{3}{4}*\frac{6}{6}\\-\frac{18}{24} \\\\-\frac{3}{4} =\frac{x}{24} \\-\frac{18}{24} =\frac{x}{24} \\-18=x[/tex]
The ratio of the number of ice cubes used to the number of glasses of iced tea is 7 : 4. Write two equivalent ratios.
Answer:
14 : 8
21 : 12
Step-by-step explanation:
7 : 4
When calculating equivalent ratios, if you multiply the left number by something, you must also multiply the right number by the same number.
7 × 2 = 14
4 × 2 = 8
7 × 3 = 21
4 × 3 = 12
Two equivalent ratios:
14 : 8
21 : 12
solve 3(2x-3)-4(2x+1)<=-26
Step-by-step explanation:
3(2x - 3) - 4(2x + 1) <= 26
-2x - 13 <= 26
2x <= -39
x <= -19.5.
Answer:
x ≥ [tex]6\frac{1}{2}[/tex]
Step-by-step explanation:
3 ( 2x - 3 ) - 4 ( 2x + 1 ) ≤ -26
6x - 9 - 8x - 4 ≤ -26
-2x ≤ -13
x ≥ [tex]6\frac{1}{2}[/tex]
As X increase or decrease Y increase or decrease. The Function is linear or nonlinear.
Answer:
linear
Step-by-step explanation:
Landon is going to invest in an account paying an interest rate of 4.3% compounded continuously. How much would Landon need to invest, to the nearest hundred dollars, for the value of the account to reach $11,300 in 14 years?
Answer:
$ 6,189.18
Step-by-step explanation:
From the above question, we can deduce that we are meant to find the Principal (Initial Amount ) invested.
The formula for the Principal of a compound interest that is compounded continuously is given as:
P = A / e^rt
Where
P = Principal
A = Totally Amount after time t = $11,300
r = Interest rate = 4.3 % = 0.043
t = 14 years
P = $11,300/ e ^0.043 × 14
P = $ 6,189.18
Hence, Landon needs to invest, $ 6,189.18
Answer:
6200
Step-by-step explanation:
A flower bed is 3 meters wide and 4 meters long. What is the area of the flower bed in square feet? Round intermediate calculations and your answer to the nearest hundredth.
Answer: 12², or 1468944.
Step-by-step explanation;
To calculate the area, you need to multiply the width (3 meters) times the length (4 meters). So, 3 x 4 is 12², or 1468944.
If 4,000,000 is invested at 5% interest compounded continuously, how much will the investment be worth in 25 years
Answer: FV = $13,961,371.83 The phrase "compounded continuously" has nothing to do with when the interest was compounded but refers to how the annual rate was miscalculated by multiplying an interval rate by the number of intervals in a year. Such rates are called "nominal" rates as they are known to be incorrect but close. A compounded continuosly rate is the worse that such a rate could be from the true rate and is when the number of intervals is infinite. Basically 5% per annum compounded continuously is really more like 5.1271% per annum.
Step-by-step explanation:
use the properties of equality to simplify the equation. Tell whether the final equation is a true statement.
7x - 3 = 7 + 7x
Answer:
No solution
Step-by-step explanation:
7x - 3 = 7 + 7x
Subtract 7x from both sides of the equation.
7 x −3−7x=7 rewrite as
7x-7x-3=7
-3=7
Write an equation in slope-intercept form for the line that has the given slope andcontains the point.
m= 2 :(-6,4)
Answer:
y = 2x+1
Step-by-step explanation:
You deposit $500 in a bank account. The annual interest rate of the account is 2.5% How much money interest is earned over the course of 6 months
Answer:
75$
Step-by-step explanation:
500 x 2.5 x 6 = 7,500
7,500 divided by 100 = 75.
We divide by 100 because " 2.5 " is a decimal.
Write an equation of the line.
sam noticed that some people purchased like items and decided to start offering a bundle. If you buy The following items together , you get 25% off , how much will the bundle cost
Answer:
add up the prices of everything they're buying, divide it by 75 and then multiple the whole answer by 100.
Step-by-step explanation:
PLEASE HELPPP PLS
Write this sentence as an equation
The sum of y and the cube of n is 6 less than the square of v.
Answer:
y + n³ = 6 - v²
hope this is the answer.
Answer:
[tex]y+n^{3} = v^{2} - 6[/tex]
Step-by-step explanation:
The sum of y and the cube of n:
y + n^3
is, so in other words it's equal =
=
6 less than the square of v:
v^2 - 6.
Put it all together:
y + n^3 = v^2 - 6.
Ace Carlos
Write the equation of the line that passes through the points (1,−6) and (8,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y=15/7x-57/7
Step-by-step explanation:
the greatest common factor of 45+9x
9 (x + 5) the greatest common factor is 9
What is the constant rate of Change shown in the table?
I need a little help..
Answer:
rate of change for tickets is 1 and rate of change for cost is 8
The constant rate of change in the given table is 8 dollars per ticket.
What is constant rate of change?When something has a constant rate of change, one quantity changes in relation to the other.
From the table,
The constant rate of change =Cost of tickets/Number of tickets
8/1 =8 dollars per ticket
2) 16/2 =8 dollars per ticket
Therefore, the constant rate of change in the given table is 8 dollars per ticket.
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What is the quotient of 88 over −9?
Answer/Step-by-step explanation:
-9 7/9 or -9.777777777
88/-9 can be represented as a division problem of 88 ÷ -9.
88 ÷ -9 = about -9.8 or -9 7/9 because any repeating decimal is written as that number over 9.
please help!!!!! i need it fast (picture attached)
Answer:
mine said step 3 but im not sure
Step-by-step explanation:
nvm im sure
9514 1404 393
Answer:
c. Step 3
Step-by-step explanation:
The appropriate solution work would be ...
x = y + 73(y +7) -2y = 83y +21 -2y = 8 . . . . Chuy's error is herey + 21 = 8y = -13x = -13 +7 = -6Chuy made the first error in Step 3.
What’s 4.5 rounded to the nearest whole number
Answer:
5
Step-by-step explanation:
we take the 5 behind the four and it rounds up to a 5
4.5=5
The equation Y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line?
O -13
0-7
O 2
08
Please help
Rearranging this into slope-intercept form, we see that the y-intercept is -7.
Step-by-step explanation:
y - 3 = -2(x + 5)
y - 3 =-2x + -10
y-intercept x = 0
y - 3 = -10
y = -10 + 3
y = -7
Please help fast its really important ;-; The base of a 15 foot ladder is 9 feet from a building. The top of the leaning ladder reaches and makes contact with the building's roof. On the corner of the building, a 6 foot flagpole is erected on the roof. What is the height from the base of the building to the top of the flagpole?
Answer:
18 ft
Step-by-step explanation:
Given that:
Length of ladder = 15 ft
Distance of ladder's foot from the building = 9 ft
Height of flagpole erected on the roof = 6 ft
To find:
Height of the top of flagpole from the base of the building?
Solution:
The given situation can be represented from the figure as attached in the answer area.
We have to find the length of [tex]BD[/tex].
There is a right angle [tex]\triangle ABC[/tex], right angled at point [tex]B\\[/tex].
We can use Pythagorean theorem here to find the side [tex]BA[/tex].
As per Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AC^{2} = BC^{2} + AB^{2}\\\Rightarrow 15^2 = 9^2+AB^2\\\Rightarrow AB^2 = 225-81\\\Rightarrow AB = \sqrt {144}\\\Rightarrow AB =12\ ft[/tex]
[tex]BD = BA + AD\\\Rightarrow BD = 12 + 6\\\Rightarrow BD = \bold{18\ ft}[/tex]
The deer population in a certain state park doubles every year. In the year 2010, there were 30 deer in the park. Which function can be used to determine the population of deer in the state park based on the number of years since 2010? y = 30(2)x y = 302x y = 2x + 30 y = 30x (2)
Answer:
y = 30(2)^x
Step-by-step explanation:
Initial deer population = 30 (in 2010)
Every year, deer population doubles ; this means there is an 100% increase in the population every year ;
Hence, using the exponential growth relation :
Final = initial * (1 + rate)^year
Here,
Final population y ; x years after 2010
Rate = 100% = 1
Hence,
y = 30(1 + 1)^x
y = 30(2)^x
-5d=30
I need this quick
Answer:
D = -6
Step-by-step explanation:
divide -5 by each side of the equation
Find the axis of summetry and the Vertex of its graph. Y=x2/squared-8x
Answer:
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
image of graph
