By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.
If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:
A^2 + B^2 = H^2
Here we know that:
A = 14 yd
H = 43 yd
And we want to find the other leg, then we can replace that in the equation to get:
(14yd)^2 + B^2 = (43yd)^2
B = √( (43yd)^2 - (14yd)^2) = 40.7 yd
So the other leg length is 40.7 yards.
If you want to learn more about right triangles, you can read:
https://brainly.com/question/2217700
The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.
0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.
Given :
The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]The following steps can be used in order to determine what does 0.92 represents:
Step 1 - Write the given function.
[tex]f(x)=24000(0.92)x[/tex]
Step 2 - In the given function $24000 represents the original value of the car.
Step 3 - According to the given data, 'x' represents the number of years.
Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/5245372
find the slope of the line that passes through the pair of points (3,-5), (-4,1)
Answer:
-6/7
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - 1 / 3 - -4
-6 / 7
Find the area of the shape shown below.
Answer:
28
Step-by-step explanation:
please help me!
ty :)
Answer:
slope: -4
Step-by-step explanation:
the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
so insert the x- and y- values into the formula. you'll get:
[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]
Which is 5log x - 6log (x - 8) written as a single logarithm?
Answer:
log[x⁵/(x-8)⁶]
Step-by-step explanation:
5log(x) - 6log(x-8)
log(x⁵) - log((x-8)⁶)
log[x⁵/(x-8)⁶]
3. Solve for side length BD
A
31
D
13 cm
I
47
C
B
Answer:
A
Step-by-step explanation:
this is beacuse of the ? mark!
Glad this will help
the formula to find the curved surface area of the cone
Step-by-step explanation:
the formula for finding curved surface area of the cone is is pi ×r ×l
Cheryl is sailing on Lake Superior. A shipwreck lies below her and its location is represented by a negative amount. A helicopter is flying above her and its location is represented by a positive amount. The shipwreck is a greater distance from Cheryl than the helicopter. Which expression could represent a comparison of the possible absolute values of the shipwreck and helicopter?
A) |–125| < |45|
B) |–98.5| < |23.7|
C) |–174.6| > |204|
D) |–362.5| > |45.8|
Answer:
D
Step-by-step explanation:
To solve this, we can go through each answer and see if it is correct.
A)
|–125| < |45|
When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have
125 < 45
125 is greater than 45, so this is false
B)
|–98.5| < |23.7|
98.5 < 23.7
98.5 is greater than 23.7, so this is false
C)
|–174.6| > |204|
174.6 > 204
174.6 is less than 204, so this is false
D)
|–362.5| > |45.8|
362.5 > 45.8
362.5 is greater than 45.8, so this is true
Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40
Answer: D i think
Step-by-step explanation:
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
Simplify the expression, then we have
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
⇒ − 7x + 6x − 24 − 2x − 6 + 10
⇒ − 3x − 20
⇒ − (3x + 20)
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ5
What is the value of x?
A. 73°
B. 71°
C. 70°
D. 68°
We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°
⇒ 2x° = 140° ⇒ x° = 70°
The answer is C. 70°
ok done. Thank to me :>
the pentagons ABCDE and JKLMN are similar find the length x of JK
Answer:
x = 4
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values
[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )
x = 4
Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3
Answer:
[tex]y=10x+24[/tex]
Step-by-step explanation:
Find the derivative of the function
[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]
Determine the slope of p(t) at t=3:
[tex]p'(3)=6(3)-8=18-8=10[/tex]
Find p(3):
[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]
Determine y-intercept:
[tex]y=mx+b[/tex]
[tex]6=10(3)+b[/tex]
[tex]6=30+b[/tex]
[tex]-24=b[/tex]
Final equation:
[tex]y=10x-24[/tex]
can someone help me
question down below
Answer:
N||M, K||J
Step-by-step explanation:
N and M are both parallel to each other and || symbolizes that, same goes for K and J
7 grade math hellp me
Answer:
P=25
Step-by-step explanation:
Pls help!!!!!!!!!!!!!
Answer:
eat tacos until you bloat
Step-by-step explanation:
AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA
Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.
Answer:
3.3%
Step-by-step explanation:
77500-75000=2500
2500/75000 x100=3.3%
Find the 12th term of the following geometric sequence.
10, 30, 90, 270
Answer:
1,771,470
Explanation:
10(3^n-1)
I need help please!!!
Answer:
x=1
Step-by-step explanation:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1
Brainliest would be appreciated! :-)
FREE BRAINLESS THE FIRST PERSON WHO ANSWER THIS
leo spends $5 per week on music. write an equation that equation that determines the dollars spend D per week.
A. d=5w
b. d=5+w
c. w=5d
d. w=5+d
Find the equation of the line with slope of 2 passing through (3,1)
pplleeaassee
The equation of the line is y-2x+5=0 I believe. Good luck :)
Jeremiah and Cassie went to dinner. Jeremiah’s meal was $25 and Cassie’s was $23. They each got a Pepsi for an additional $3.25. If they planned to leave a 15% tip for their waiter, how much should they leave?
Answer:
8.175$
Step-by-step explanation:
If we do 23+25+(3.25)×2
The sum of all the bought
It will equal to 54.5
So if we do as the waiter planned
We must to 54.5×15%=8.175$
The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!
Answer:
3.4 cm
Step-by-step explanation:
average is the sum of all the values then divided by the number of values.
The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.
The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.
Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.
Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm
Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm
Therefore, the average rainfall for the given values is 3.40 cm.
To know more about average here
https://brainly.com/question/130657
#SPJ2
14. Complete the table below to represent y = 0.25x + 3.
Then draw a graph to represent the relationship between
the x and y-values.
Answer: 3 is the y intercept; so it will touch the y axis at 3, and 0.25 is the slope of the line
Step-by-step explanation:
go to desmos. com/calculator and put that equation, if you are having a hard time visualizing it.
The graph of y=f(x) is shown below. Find all values of x where f(x)=5
=======================================================
Explanation:
Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.
This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6
This shows that f(-4) = 5 and f(-6) = 5.
Phrased another way: the points (-4,5) and (-6,5) are on the parabola.
Is this correct? And if it is, what's the solution?
Answer:
No the graph is not correct. The point of intersection is (-3, 4)
Points on line y = x + 7 are (-3, 4) (0, 7) and (2, 9)
Points on line y = -1/3x +3 are (-3, 4) (0, 3) and (-6, 5)
Step-by-step explanation:
y = x + 7 do not change
y = -1/3x + 3 substitute into the top equation and solve for x
-1/3x + 3 = x + 7
-3 = -3
-1/3x = x + 4
- x = -x
-1 1/3x = 4
- 4/3x = 4 Changed -1 1/3x to -4/3x
x = 4/ -4/3
x = -3
y = x + 7
y = -3 + 7
y = 4 Point of intersection is (-3, 4)
Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d
Answer:
40-d
Step-by-step explanation:
what would the algebraic expression be for the product of 3 and x increased by 20
Answer:
3x + 20
Step-by-step explanation:
Product is for multiplication therefore, the product of 3 and x is 3x.
increased = addition
Overall, the product of 3 and x increased by 20 is 3x + 20.
What time is four past eight at night
Answer:
8:04 pm
Step-by-step explanation:
Answer:
8:04
Step-by-step explanation:
8 o'clock and four minutes past 8 is 8:04.
let f(x)=5x+5 find f(-1)
I need your help with this. please help me
[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]
x - 9 = 1/4x + (1/4x + 12) +(1/4x - 3)
Answer:
x=72
Step-by-step explanation:
x-9=3/4 ⋅ x+9
1/4 ⋅ x -9=9
1/4⋅x=18
x=72