The relationship between her height and the tree's is an illustration of ratios and proportions
The height of the tree is approximately 2.11 meters
Her height is represented as:
[tex]\mathbf{h =1.85}[/tex]
At 12 noon, the length of the tree's shadow and her distance from the shadow are given as:
[tex]\mathbf{D =39.75}[/tex]
[tex]\mathbf{d =34.9}[/tex]
To calculate the height (H) of the tree, we make use of the following equivalent ratios
[tex]\mathbf{H : h =D : d}[/tex]
So, we have:
[tex]\mathbf{H : 1.85 =39.75 : 34.9}[/tex]
Express ratio as fraction
[tex]\mathbf{\frac{H }{ 1.85 }=\frac{39.75 }{ 34.9}}[/tex]
Multiply both sides by 1.85
[tex]\mathbf{H=1.85 \times \frac{39.75 }{ 34.9}}[/tex]
[tex]\mathbf{H=2.11}[/tex]
Hence, the height of the tree is approximately 2.11 meters
Read more about ratios and proportions at:
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PLZ HELP ME WITH THIS ASAP
Answer: y= 9
Step-by-step explanation: x, y= 9
cahahahahhddbsbshshsjs 98 +_=366
Answer:
268
Step-by-step explanation:
366 minus 98= 268
CAN I GET BRAINLIEST
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
Answer:
Option D
Hope this helps!
how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution
Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.
Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.
Answer: y = (28/4)x + 4
Step-by-step explanation:
We'll be using 20, 144 (1) and 24, 172 (2) for this
slope = y2 - y1 / x2 - x1
slope = 172 - 144 / 24 - 20
slope = 28/4
y = mx + b
y = (28/4)x + b
We can then reduce 20, 144 by 4, 28
20, 144
16, 116
12, 88
8, 60
4, 32
0, 4
The y-intercept is when x = 0, so its 4.
Plug that into y = mx + b
y = (28/4)x + 4
Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -
Answer:
Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is
Step-by-step explanation:
calculating the change between two points.
On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
Number of hours that I used to work = 1 hour
My hourly pay = $3t - 3
My total pay at the end of the day = Number of hours x hourly pay
My total pay at the end of the day = 1 (3t - 3)
My total pay at the end of the day = $ 3t - 3
Number of hours that Andrew used to work = 3t -5 hour
Andrew's hourly pay = $2
Andrew's total pay at the end of the day = Number of hours x hourly pay
Andrew's total pay at the end of the day = 2 (3t - 5)
Andrew's total pay at the end of the day = $ 6t - 10
At the end of the day, I earned $2 more than Andrew
My total pay = Andrew's total pay + 2
3t - 3 = 6t - 10 + 2
6t - 3t = -3 +10 - 2
3t = 5
t = 5/3
[tex]t = 1\frac{2}{3}[/tex]
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
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please help me it's done in 4 mins I beg you
Answer:
the slope rise/run = 4/6
Kyle read 3 5/6 books and Jan read 2 1/3 books. How many more books did Kyle read than Jan?
Answer:
3 5/6 = 3 10/12
2 1/3= 2 4/12
3-2=1
10/12-4/12= 6/12=1/2
so Kyle read 1 1/2 more books then Jan
Answer:
Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan
Step-by-step explanation:
Let's put our equation[tex]3 \frac{5}{6}-2\frac{1}{3}[/tex]
They have different denominators so let's look for the [tex]LCM[/tex] to find our common denominator
Find our LCMDefinition of LCM - LCM stands for least common multiple. The least common multiple of two numbers is the smallest number that is a multiple of both of them.
Now let's find our LCM
[tex]6:6,12,18,24,30,36,42\\\\3:3,6,9,12,15,18,21,24,27,30[/tex]
as you can see our [tex]LCM[/tex] is [tex]6[/tex]
Now our fraction is[tex]3\frac{5}{6}-2\frac{2}{6}[/tex]Solve[tex]3\frac{5}{6}-2\frac{2}{6}=1 \frac{3}{6}[/tex] this can be reduced to [tex]1 \frac{1}{2}[/tex]
Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan
Brainliest please :)expand and simplify
(x +3)(x+5)
Answer:
x² + 8x + 15
Step-by-step explanation:
(x +3)(x+5)
=> x² + 5x + 3x + 15
=> x² + 8x + 15
So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.
Please help ASAP!
Write the ratio 2/7 to 8 as a fraction in simplest form. The ratio in simplest form is _____.
[tex]\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28[/tex]
\sf 45-2x=75-3x
Free
[tex]\sf \longmapsto45 - 2x = 75 - 3x[/tex]
[tex]\sf \longmapsto45+−2x=75+−3x[/tex]
[tex]\sf \longmapsto−2x+45=−3x+75[/tex]
[tex]\sf \longmapsto \: −2x+45+3x=−3x+75+3x[/tex]
[tex]\sf \longmapsto \: x+45=75[/tex]
[tex]\sf \longmapsto \: x+45−45=75−45[/tex]
[tex]\sf \longmapsto \: x=30[/tex]
[tex] \boxed{\sf 30}[/tex]
Help pls dont send links by
Answer:
draw a sketch graph for values x and y. but just make sure they r the same e.g if x is 2 y should also be 2. plot points wen y is equal to x. (3,3) (4,4) (5,5). a straight line
for part y=x +2. make any number x e.g let x be 3. therefore y=2+3. y=5. so the point is (3,5). continue with this procedure with about three points then plot on a graph. and it is meant to be a straight line. A TABLE CAN ALSO WORK BUT SHOW STEPS ON HOW YOU GOT THE POINTS
Answer:
I think it's 3.
Step-by-step explanation:
Sorry if it's wrong.
Could you please help me?!
Answer:
Step-by-step explanation:
Facts to know :
-diagonals of rhombus are angle bisector so angle A is double 28
∡A = 28*2 = 56°
-opposite angles in a rhombus are congruent so angle A and angle C have the same measure
∡C = 56°
-the sum of angles in a rhombus is 360°
360 - 2*56 = 360-112 = 248
248 /2 = 124
∡B = ∡D = 124°
Here is a sequence of numbers:
1
3
6
10
15
What is the name given to these numbers?
Answer:
I don't know but
1+2=3
3+3=6
6+4=10
10+5=15
if this helps you make any sense of it.. tell me
Step-by-step explanation:
Answer:
These are triangular numbers.
Step-by-step explanation:
The explicit formula for the nth term of the sequence id 1/2n(n+1).
So for, example, the 6th term = 1/2*6(6+1)
= 21.
They all fit exactly into equilateral triangles.
hi! can someone please help me with these i’m confused on how to answer it
Answer:
Step-by-step explanation:
Solve for g.
7 − –3g = 13
g =
Answer: g=2
Step-by-step explanation:
Remove the parentheses
7- (-3)g=13
Move the constant to the right
7+3g=13
Calculate
3g=13-7
Divide both sides
39=6
Answer:
g=2
How to find area of a triangle.
HELP ME PLEASE!!!!!!!!!!!!
Answer:
Your first equation y=1/2(1+0.3)^t is going to be growth
Your second equation y=0.3(0.95)^t is going to be decay
Your third equation y=((1+0.03)^1/2)^2t is going to be growth
your fourth equation y=200(0.73)^t is going to be decay
your last equation y=4(1/4)^t is going to be decay
Step-by-step explanation:
You can find this by graphing each of you equations on desmos
Answer:
Step-by-step explanation:
See attachment
two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment
Answer:
Step-by-step explanation:
can someone please help me with this
Answer:
y-intercept =3
x-intercept =3/2
slope =-2
Step-by-step explanation:
y=-2x+3
0=-2x+3
2x=3
x=3/2
HELP * PICTURE INSERTED*
Answer:
9m^2
Step-by-step explanation:
Area of triangle = 1/2 ×base×height
=1/2(2/3m ×27m)
Area of triangle =9m^2
Can you help me plzzzzzzz
Answer:
Step-by-step explanation:u have to add x+6 = ur answer there u go
find the nth term of 1,6,11,16
Answer:
5n-4
Step-by-step explanation:
The rule of the sequence is 5n-4.
If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1
If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6
If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11
If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16
Pls help will give 10 pts
Answer:
276 guests
Step-by-step explanation:
Let the number of guests be n. We are to find the value of n.
Then (1/3)n + (5/12)n + 69 = n, or
(9/12)n + 69 = n or (12/12)n
Solving for n, we get (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276
There were 276 guests at the wedding.
Check: Does (1/3)(276) + (5/12)(276) + 69 work out to 276? yes
using the diagram what is the intersection of plane ABCD and GC
A. Plane EFGH
B. Point D
c. Point C
D. Line CB
Answer:
The answer it's c. Point C
the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u
Answer:
6u - 15/2 inches
Step-by-step explanation:
(2/3)rope = 4u - 5
multiply both sides by 3/2
rope = 6u - 15/2
hi guys pls answer this we will pass the tomorrow
Answer:
1. 25/24
2. 7/6
3. 4/3
4. 6/8 or 3/4
5. 5/4
1. 1
2. 1/4
3. 2/10 or 1/5
4. 7/3
5. 13/6
Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 13 miles?
Answer:
390 minutes I do believe.
Step-by-step explanation:
Lee earns $17.00 per hour at her job. How much money will Lee earn if she works for 4 hours?