A tree struck by lightning broke at a point 12 feet above the ground. What was the height of the tree to the nearest tenth of a foot., 12 squared + 39 squared = ??
Answers
Answer:
52.8 feets
Step-by-step explanation:
From the diagram :
The height of tree woulb be :
Height above the ground (at breakpoint) + hypotenus
Hypotenus, h cab be obtained using Pythagoras rule :
h² = opp² + adj²
h² = 39² + 12²
h² = 1665
h = sqrt(1665)
h = 40.804 feets
Height of tree to the nearest tenth ;
40.804 feets + 12 feets
= 52.804 feets
= 52.8 feets
Related Questions
Please help me solve the algebraic expressions
Answers
[tex] \frac{ 36+{w}^{2}x}{4w} [/tex]
[tex] \frac{ {d}^{3} + 6 }{3 {d}^{2} } [/tex]
[tex] \frac{2 {m}^{3} - 27}{12m} [/tex]
[tex] \frac{ {x}^{5} - 2 }{w {x}^{2} } [/tex]
Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded
continuously. Daniel invested $13,000 in an account paying an interest rate of 8.5%
compounded daily. After 18 years, how much more money would Daniel have in his
account than Ellie, to the nearest dollar?
Answers
Answer:
Rate 1: 8
4
1
%=8+1/4=
8.25
%
→
0.0825
8.25%→0.0825
Rate 2:
8
1
2
%
=
8
+
1
/
2
=
Rate 2: 8
2
1
%=8+1/2=
8.5
%
→
0.085
8.5%→0.085
Calculate Final Amount for Ellie
Calculate Final Amount for Ellie
‾
Calculate Final Amount for Ellie
Compounded Continuously:
Compounded Continuously:
A
=
P
e
r
t
A=Pe
rt
P
=
13000
r
=
0.0825
t
=
18
P=13000r=0.0825t=18
Given values
A
=
13000
e
0.0825
(
18
)
A=13000e
0.0825(18)
Plug in
A
=
13000
e
1.485
A=13000e
1.485
Multiply
A
=
57394.5504
A=57394.5504
Use calculator (with e button)
Calculate Final Amount for Daniel
Calculate Final Amount for Daniel
‾
Calculate Final Amount for Daniel
Compounded Daily:
Compounded Daily:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
13000
r
=
0.085
t
=
18
n
=
365
P=13000r=0.085t=18n=365
Given values
A
=
13000
(
1
+
0.085
365
)
365
(
18
)
A=13000(1+
365
0.085
)
365(18)
Plug in values
A
=
13000
(
1.0002329
)
6570
A=13000(1.0002329)
6570
Simplify
A
=
60025.6058
A=60025.6058
Use calculator
How much more money Daniel has:
How much more money Daniel has:
60025.6058
Rate 1: 8
4
1
%=8+1/4=
8.25
%
→
0.0825
8.25%→0.0825
Rate 2:
8
1
2
%
=
8
+
1
/
2
=
Rate 2: 8
2
1
%=8+1/2=
8.5
%
→
0.085
8.5%→0.085
Calculate Final Amount for Ellie
Calculate Final Amount for Ellie
‾
Calculate Final Amount for Ellie
Compounded Continuously:
Compounded Continuously:
A
=
P
e
r
t
A=Pe
rt
P
=
13000
r
=
0.0825
t
=
18
P=13000r=0.0825t=18
Given values
A
=
13000
e
0.0825
(
18
)
A=13000e
0.0825(18)
Plug in
A
=
13000
e
1.485
A=13000e
1.485
Multiply
A
=
57394.5504
A=57394.5504
Use calculator (with e button)
Calculate Final Amount for Daniel
Calculate Final Amount for Daniel
‾
Calculate Final Amount for Daniel
Compounded Daily:
Compounded Daily:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
13000
r
=
0.085
t
=
18
n
=
365
P=13000r=0.085t=18n=365
Given values
A
=
13000
(
1
+
0.085
365
)
365
(
18
)
A=13000(1+
365
0.085
)
365(18)
Plug in values
A
=
13000
(
1.0002329
)
6570
A=13000(1.0002329)
6570
Simplify
A
=
60025.6058
A=60025.6058
Use calculator
How much more money Daniel has:
How much more money Daniel has:
60025.6058
−
57394.5504
60025.6058−57394.5504
2631.0554
2631.0554
$
2631
$2631
Round to the nearest dollar−
57394.5504
60025.6058−57394.5504
2631.0554
2631.0554
$
2631
$2631
Round to the nearest dollar
Step-by-step explanation:
Please help me ????????
Answers
The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with radius 3/2x^3y^–2 in terms of x and y?
Answers
Answer:
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{4}{3}\pi r^3[/tex]
Required
Find V when
[tex]r = \frac{3}{2}x^3y^{-2[/tex]
Substitute [tex]\frac{3}{2}x^3y^{-2[/tex] for r in [tex]V = \frac{4}{3}\pi r^3[/tex]
[tex]V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3[/tex]
Open bracket
[tex]V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}[/tex]
[tex]V = \frac{4}{3}\pi * \frac{27}{8} * x^{9}y^{-6}[/tex]
Simplify the fractions
[tex]V = \pi * \frac{9}{2} * x^{9}y^{-6}[/tex]
Let
[tex]\pi = \frac{22}{7}[/tex]
So:
[tex]V = \frac{22}{7} * \frac{9}{2} * x^{9}y^{-6}[/tex]
[tex]V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
Dan is driving from his hometown in California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y = 55h + 110
Dan leaves at 1:10 and is traveling at 55 miles per hour.
Dan is 110 miles from home at noon and is traveling at 55 miles per hour.
Dan is 55 miles from home at noon and is traveling at 110 miles per hour.
Dan leaves at noon and is traveling at 110 miles per hour.
Answers
Answer:
Dan is 110 miles from home at noon and is traveling at 55 miles per hour
Step-by-step explanation:
Mathematically, we have the general equation of a linear model as;
y = mx + b
m represents the slope of the model
b is the y-intercept of the model
Mathematically, what we have here is that there is a plot of distance against time
Distance is on the y-axis
time is on the x-axis
Now, the coefficient of the x-axis value is the slope
From what we have, the slope value is 55 miles per hour
Now, we have the y-intercept at 110
So, what this mean is that the distance from home is 110
So the correct answer here is that;
Dan is traveling at 55 miles per hour and he is 110 miles away from home
I need help fast!!!!
Answers
Answer:
B
Step-by-step explanation:
A designer builders a model of a bicycle the finished model is exactly the same as the original but smaller. The scale factor is 2:15 (A) ratio of height ☑️:☑️ (B)surface area ☑️:☑️ (C)volume ☑️:☑️
Answers
Answer:
a) The ratio of height is 2:15
b) The ratio of surface area is 4:225
c) The ratio of volume is 8:3375
Step-by-step explanation:
The scale factor of model to original is 2 :15
Please remember the concept, when scale factor is a:b
Then ratio of sides would be same a:b
The ratio of surface area is [tex]a^{2} :b^{2}[/tex]
The volume is [tex]a^{3} :b^{3}[/tex]
According to the concept,
The ratio of height is 2:15
The ratio of surface area is [tex]2^{2} :15^{2}[/tex] =4:225
The ratio of volume is [tex]2^{3} :15^{3}[/tex] =8 :3375.
3×- 5 =16 help please
Answers
Answer:
x = 7
Step-by-step explanation:
Given
3x - 5 = 16 ( add 5 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Explanation:
(you need to get x by its self)
Step 1- add the (-5) over to the 16
Because to get rid of a negative or minus sign you need to do the opposite which is addition.
You’ll get: 3x=21
Step 2- divide the 3 off from 21
Because the ‘3x’ is acting as multiplication, and the opposite of multiplication is division
You’ll get: X=21/3
Which is X=7
-14.3 = -1.4 - 3d what is d
Answers
d = 4.3
Explanation:
Move the variable to the left-hand side and change its side.
3d = 1.4 + 14.3
Calculate the sum.
3d = 12.9
Divide both sides of the equation by 3.
d = 4.3
Solution:
d = 4.3
Write "five more than a number" as a math expression help please
Answers
Answer:
It is 5 or x>5
Step-by-step explanation:
I need help with this please
Answers
Answer:
5.5
Step-by-step explanation:
It asks for just the Stevens family, so the first sentence is a trick.
Take $49.50 and divide it by $9 an hour. You will end up with 5.5 hours.
Walid is four times as old as Sami . Five years ago,
Walid was 7 times old as Sami . How old is Walid and how old is Sami ?
Answers
Answer:
he is11 years old cause when he was 1 walked was 5
PLEASE HELP IM TERRIBLE AT PERCENTAGES!!!
Answers
Answer:
sory bro i saw this question but i dont know answer
Add all values together, since your finding percentage of pink flowers you’ll do 20/82 which will get you the decimal 0.24 which is 24%
idiixixixjdjdodjdjdijxdjdjj
Answers
Answer: 41
Step-by-step explanation:
You need to subtract the 82 by the 41 so 82-41 then you would find the missing part. Or you could add 4 to the 4 to make 8 and then add the 1 to the 1 to get 2
HELP HELP HELP PLSSSSSSS
Answers
verry very sorry for this
WILL GIVE BRAINLY!!!
Find the value of x. Round to the
nearest tenth.
9
4
O
X= | ?
Answers
tan x = 4/9
x = tan^-1 (4/9)
x = 23.9624....
x = 24.0
Answer:
66.03 so 70
Step-by-step explanation:
since hypotunees has no value it cancels.
aso it leaves with an adjacent and oppisite
using trig function you will get
tan(x)=(9/4)
inverse tan to get x on its own
(x)=tan^-1(9/4)
put that on the calculater and you will get the angle
therefore
(x)=66.04 round it the nearest ten which is
70
Please Help Again lol
Answers
Answer:
1 and 3 I think
Step-by-step explanation:
plz help me my teacher is gonna come in 5 minutes and if she finds me on this imma get suspended
Answers
Answer:
42
Step-by-step explanation:
42 i think
maybe 5
.....................
D
(3x +94)
Kx + 18)
(2x - 4)
B
A
O
The diagram is not drawn to scale.
O
x = 1
-。
Please help ASAP
Answers
Answer:
i cant answer this one, its waaaay too confusing for me
Step-by-step explanation:
Square ABCD is dilated by a scale factor of 1/3 to create square A’B’C’D’. Which statement is NOT true?
Answers
Plz help fast will mark the brainiest!!!
Answers
How can I solve "Ella is building a rabbit pen. The area of the rabbit pen is 50 square feet.
Each rabbit needs at least 4 square feet of space. How many rabbits can
the pen hold?"
Answers
50/4= 12.5 rabbit pens
Hope it might helps you!
Answer:
12.5 rabbits
Step-by-step explanation:
So I guess I would say 12
4x-9=2x+5..solve for X..Help?
Answers
Answer:
x = 7
Step-by-step explanation:
4x - 9 = 2x +5 add 9 from both sides
4x = 2x +14 subtract 2x from both sides
2x = 14. divide both sides by 2
x = 7
Answer:
x = 7
Step-by-step explanation:
Rewrite equation
4x - 9 = 2x + 5
Add 9 on both sides
4x -9 +9 = 2x + 5 + 9
Simplify
4x = 2x + 14
Subtract 2x on both sides
4x - 2x = 2x + 14 - 2x
2x = 14
Finally divide both sides by 2
2x/2 = 14/2
x = 7
Hope this helps :)
Round 5540.33990183 to 3 decimal places
Answers
Answer:
5540.340
Step-by-step explanation:
That's My Answer For It
Answer:
5540.33990183 in 3 decimal places would be
5540.340
Teresa has some photos on her computer on Monday. On Tuesday, she downloads 24 new photos. Then she delets 9 photos. She ends up with 33 photos. Explain how the equation p+424-9=33 represents the situaton. Then solve the equation for the variable p and interpret the solution.
Answers
Answer:
Teresa had 18 photos on her phone on monday
Step-by-step explanation:
Monday: 18
Tuesday: 42
42 - 9 = 33
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing vertex? ( , ) b. Find the area and perimeter of the rectangle. Area = square units Perimeter = units
Answers
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
[tex] B_{x} - A_{x} = 7 - 4 = 3 [/tex]
Hence, the distance of point D from point C in the x-direction is:
[tex] D_{x} = C_{x} + 3 = 4 + 3 = 7 [/tex]
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
[tex] C_{y} - A_{y} = 8 - 2 = 6 [/tex]
Then, the distance of point D from point B in the y-direction is:
[tex] D_{y} = B_{y} + 6 = 2 + 6 = 8 [/tex]
Therefore, the coordinates of the missing vertex (point D) are:
[tex] D = (D_{x}, D_{y}) = (7, 8) [/tex]
b) The area of the rectangle is:
[tex] a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2} [/tex]
The perimeter is given by:
[tex] p = 2*(3 + 6) = 18 units [/tex]
I hope it helps you!
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
What do u need help with
Step-by-step explanation:
Someone help me with this question
Answers
the answer is 7 because thats what photo math told me
Answer:
7
Step-by-step explanation:
(8+56)÷4-3^2
PEMDAS:
(64)÷4-3^2
PEMDAS:
(64)÷4-9
PEMDAS:
(16)-9
7
hope this helps
HELP ME ASAP BRAINLY :)) How many sides does a polygon have if its total interior angle sum is 4 times its total exterior angle sum?
Answers
Answer:
Step-by-step explanation:
If you are given the interior angle, just subtract that from 180 to get the exterior angle and then use the number of sides = 360 / exterior angle to find the number of sides. it's much easier. the number of sides is equal to 10. the sum of the interior angles is equal to 10 * 144 = 1440 degrees.Help please it’s algebra 2
Answers
Answer:
Please refer to the attachment