Answer:
13.6 meter
Step-by-step explanation:
Given that :
Suzi's height, p1 = 1.7 m
Suzi's shadow, p2 = 0.3 m
Tree shadow, t2 = 2.4 m
Tree height, t1 =?
Using the relation :
p1 / p2 = t1 / t2
1.7 / 0.3 = t1 / 2.4
Cross multiply :
1.7 * 2.4 = 0.3 * t1
4.08 = 0.3t1
t1 = 4.08 / 0.3
t1 = 13.6
Height of the tree is 13.6 m
What are the side of triangle PQR
How many orders of magnitude bigger is 23,000 than 56?
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.
Find the quotient: 63/-9
Answer:
-7
Step-by-step explanation:
63/9 but there is an odd number of negative numbers so negative answer
Which represents f(x)=g
A pipe 11/15 liters of tub in 22/45 minutes what is its flow rate in terms of liters per minute
Answer:
3/2 liters/minute
Step-by-step explanation:
Divide 11/15 liters by 22/45 minutes:
11
------
15
-----------
22
-----
45
This is equivalent to:
11 45
----- * ----- = 3/2 (liters/min)
15 22
The flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).
Given:
Volume of water = 11/15 liters
Time taken = 22/45 minutes
Flow rate = Volume / Time
Flow rate = (11/15) liters / (22/45) minutes
To divide by a fraction, we multiply by its reciprocal:
Flow rate = (11/15) x (45/22) liters/minutes
Simplifying the expression:
Flow rate = 495/330 litres/minutes
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:
Flow rate = (495/165) / (330/165) litres/minutes
Flow rate = 3/2 liters/minutes
Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To know more about expression follow
https://brainly.com/question/29115565
#SPJ2
Question in the image
Answer:
c
Step-by-step explanation:
Using f(x) = 4x + 6 with a domain of{-1, 0, 2 }, find the range.
1. {10, 6, 15}
2. {2, 14}
3. {-4, 0,8}
4. {2, 6, 14}
Answer:
{2,6,14}
Step-by-step explanation:
The range are the f(x) values
the domain are the x values
So we have it that;
f(-1) = 4(-1) + 6 = 2
f(0) = 4(0) + 6 = 6
f(2) = 4(2) + 6 = 14
so we have the range as;
{2,6,14}
Find the missing part.
Answer:
[tex]y=\frac{15\sqrt{3}}{4}[/tex]
Step-by-step explanation:
We are given that
[tex]\theta_1=60^{\circ}[/tex]
[tex]\theta_2=30^{\circ}[/tex]
We have to find the missing part.
[tex]\frac{x}{15}=cos\theta_1=cos60^{\circ}[/tex]
Using the formula
[tex]\frac{base}{hypotenuse}=cos\theta[/tex]
[tex]x=15cos60^{\circ}=\frac{15}{2}[/tex]
[tex]\frac{z}{15}=sin60^{\circ}[/tex]
Using the formula
[tex]\frac{Perpendicular\;arm}{hypotenuse}=sin\theta[/tex]
[tex]z=15\times \frac{\sqrt{3}}{2}=\frac{15\sqrt{3}}{2}[/tex]
Now,
[tex]\frac{a}{x}=cos60^{\circ}[/tex]
[tex]\frac{a}{\frac{15}{2}}=\frac{1}{2}[/tex]
[tex]a=\frac{1}{2}\times 15/2=\frac{15}{4}[/tex]
[tex]y=x sin60^{\circ}[/tex]
[tex]y=\frac{15}{2}\times \frac{\sqrt{3}}{2}[/tex]
[tex]y=\frac{15\sqrt{3}}{4}[/tex]
Solve for e. 4/3 = -6e - 5/3
Answer:
e = -1/2
Step-by-step explanation:
To solve this problem, our first step is to add 5/3 to both sides of the equation. This gives us:
4/3 + 5/3 = -6e - 5/3 + 5/3
9/3 = -6e
We can simplify the left side of the equation by performing the division.
3 = -6e
Next, we can solve for e by dividing both sides of the equation by -6.
e = -1/2
Therefore, the correct answer is e = -1/2.
Hope this helps!
Answer:
The value of e is -1/2
Step-by-step explanation:
4/3 = - 6e - 5/3
Now, add 6e both side we get,
4/3 + 6e = + 6e - 6e - 5/3
4/3 + 6e = - 5/3
Now, subtract 4/3 from both side we get,
4/3 - 4/3 + 6e = -4/3 - 5/3
6e = -4/3 - 5/3
6e = -4 - 5/3
6e = -9/3
6e = -3
Now, divide 6 from both side we get,
6e/6 = -3/6
e = -1/2
Thus, The value of e is -1/2
-TheUnknownScientist
for a project in her geometry class, amira uses a mirror on the ground to measure the height of her school’s football goalpost. she walks a distance of 14.45 meters from her school, then places a mirror on flat on the ground, marked with an x at the center. she then steps 3.65 meters to the other side of the mirror, until she can see the top of the goalpost clearly marked in the x. her partner measures the distance from her eyes to the ground to be 1.55 meters. how tall is the goalpost? round your answer to the nearest hundredth of a meter
Answer:
6.14 m
Step-by-step explanation:
If she moves 3.65 metres to the other side of the mirror. Her spouse calculates that there are 1.55 metres between her eyes and the earth. The height of the tail post is 6.14 m.
What is elevation?The distance up or down a specified point of comparison, most often a reference spherical geometry, a mathematical model of the Earth's sea level as an equipotential gravitational surface, determines a physical location's elevation.
Given that, after travelling 14.45 metres from her school, she lays a flat mirror on the ground in the centre, with an x drawn on it. When she can clearly see the top of the goalpost depicted in the x.
She moves 3.65 metres to the other side of the mirror. Her spouse calculates that there are 1.55 metres between her eyes and the earth.
Suppose the height of the tail post is x,
The geometric relation is,
1.55/3.65 = x/14.45
x=(14.45×1.55)/3.65
x=6.14 m
Thus, if she moves 3.65 metres to the other side of the mirror. Her spouse calculates that there are 1.55 metres between her eyes and the earth. The height of the tail post is 6.14 m.
Learn more about the elevation here:
brainly.com/question/481548
#SPJ2
Assume the equation has a solution for z.
-cz+ 6z = tz + 83
z=?
Answer:
z = 83 / (- c + 6 - t)
Step-by-step explanation:
Given:
-cz+ 6z = tz + 83
z=?
-cz+ 6z = tz + 83
Collect like terms
-cz+ 6z - tz = 83
Factorize
z(- c + 6 - t) = 83
Divide both sides by (- c + 6 - t)
z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)
z = 83 / (- c + 6 - t)
Answer:
Step-by-step explanation:
Find y
Help me please
Answer:
y = 46
Step-by-step explanation:
Help on this question
Answer:
is it me or can I not see anything
use r =27 & x =3
[tex]-\frac{r}{9}+ 5x[/tex]
Answer:
12
Step-by-step explanation:
First substitute the equation with the variable replacements given:
-r/9 + 5x <--- Before
-27/9 + 5(3) <--- After
Next Solve the parts of the Equation
-27/9 + 5(3)
-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.
= 12 <--- 15 - 3 = 12.
I hope this helps!
Answer:
12
Step-by-step explanation:
[tex]-\frac{27}{9}+5(3)[/tex]
- 3 + 15
15 - 3
12
211 base x is equal to 10110 base 2
Hello,
[tex](211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\[/tex]
x=3
Solve for x. Round to the nearest tenth, if necessary.
Answer:
15.4
Step-by-step explanation:
sin 17° = 4.5 /x
x = 4.5 / sin 17° = 4.5 /0.2924
= 15.4
The value of the variable 'x' using the sine formula will be 15.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the sine of the angle ∠GIH. And the sine of an angle is the ratio of the normal and hypotenuse of the right-angle triangle. Then we have
sin 17° = 4.5 / x
x = 15.4
The value of the variable 'x' using the sine formula will be 15.4 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ7
Lol do yu guys know this?? plz help
Answer: Choice C. 32,768
Explanation:
2.5 hours = 2.5*60 = 150 minutes
150/10 = 15
There are 15 periods that are 10 minutes each in a 2.5 hour timespan.
y = a*b^x
y = 1*2^15
y = 32,768
If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.
Fourth and fifth graders planted trees alongside the road. The distance between two trees is 5 meters how many trees did they plant if the distance between the first and last trees is 200 meters?
[tex]$\mathcal{PROCESS:}$[/tex]
[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]
The distance between two trees is 5 meters.the distance between the first and last trees is 200 metersTo know the result of trees we will do the following steps...
We will divide the distance from the first to the last tree by 5, and with this we would have the result:
[tex]200/5=?[/tex]
Result:
40 trees were planted
ATT- Brook2007s
Answer:
41 Trees
Step-by-step explanation:
The equation of line a is y=12x−1, and it passes through point (6,2).
Line b is perpendicular to line a, and it passes through point (−6,2).
A: What is the slope of line b?
B: What is the y-intercept of line b?
Answer:
A). slope = -1/12 y-intercept = 3/2
Step-by-step explanation:
y = -1/12x + b
2 = -1/12(-6) + b
2 = 1/2 + b
3/2 = b
y = -1/12x + 3/2
Can someone help me with this math homework please!
1. f(-6)=8
2.-2
3. 4
Hope this helps you...
ratio and proportion
One of the angle of pair of supplementary angle is 120 degree. find the ratio of pair of supplementary angles.
Answer:
2 : 1
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180°
If one of the angle = 120°
The other angle = sum of supplementary angle - one of the angle
= 180° - 120°
= 60°
The other angle = 60°
ratio of pair of supplementary aangle = 120° : 60°
= 120° / 60°
= 2/1
= 2 : 1
ratio of pair of supplementary aangle = 2 : 1
If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degrees, find x.
Select one:
a. 5 / 9
b. - 3
c. 5
d. 11
Answer:
c
Step-by-step explanation:
vertical angles are congruent, so
5x - 1 = 4x + 4 ( subtract 4x from both sides )
x - 1 = 4 ( add 1 to both sides )
x = 5 → c
The value of x is c. 5
Given that,
If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degreesBased on the above information, the calculation is as follows:
5x - 1 = 4x + 4
5x -4x = 4 + 1
x = 5
Learn more: brainly.com/question/17429689
65% of what number is 13?
Hi!
65% → 13 || : 13
5% → 1 || • 20
100% → 20
Answer: 65% of 20 is 13.
determine which statement or statements are true. If none write “none”.
By accident I circled D for question 1 and C for question 2 I’m not sure if they are correct. But if anybody can help me with 1-3 that will be a life saver!!!
THANK UUUUUU
Answer:
number 1 is C number 2 is A and number 3 is D
Step-by-step explanation:
Answer:
yeah
Step-by-step explanation:
Use logarithmic differentiation to find the derivative of y.
y = x(x + 8) (x + 9)
Answer:
y'=3x^2+34x+72
Step-by-step explanation:
I see this has no answer and it might be too late.
It's asking us to find dy/dx, after taking log of both sides and apply any useful properties of log.
Take log of both sides:
log(y)=log[x(x+8)(x+9)]
Apply product rule of logarithms on right:
log(y)=log(x)+log(x+8)+log(x+9)
Now differentiate both sides:
y'/y=1/x+1/(x+8)+1/(x+9)
Multiply both sides by y:
y'=y(1/x+1/(x+8)+1/(x+9))
Replace y with x(x+8)(x+9) -> this is from the given equation:
y'=x(x+8)(x+9)(1/x+1/(x+8)+1/(x+9))
Distribute:
y'=(x+8)(x+9)+x(x+9)+x(x+8)
Multiply/distribute some more:
y'=x^2+17x+72+x^2+9x+x^2+8x
Combine like terms:
y'=3x^2+34x+72
Hey is there any chance anyone could help me with this question ASAP?? Tysm :)
Answer:
6
Step-by-step explanation:
A = π. r²
36π = π. r²
eliminate π, we get:
36=r²
r=√36
r = 6
Answer:
r = 6
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Given A = 36π , then
πr² = 36π ( divide both sides by π )
r² = 36 ( take the square root of both sides )
r = [tex]\sqrt{36}[/tex] = 6
Help with 12 please
12.
[tex]we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{26 + 22 + 32 + 28 + 35 + x}{6} = 30 \\ = > \frac{143 + x}{6} = 30 \\ = > 143 + x = 30 \times 6 \\ = > 143 + x = 180 \\ = > x = 180 - 143 \\ = > x = 37 \\ [/tex]
This is the answer.
Hope it helps!!
What is the gradient of the graph shown? In its simplest form
Answer:
1
Step-by-step explanation:
the line passes point (-3,0) abd (0, 3)
so, the gradient = (3-0)/(0+3) = 3/3 = 1
Consider the quadratic function f(x) = x2 - 5x + 6.
What are the values of the coefficients and constant in the function?
а
b
c
Answer:
a=1
b=-5
c=6
Step-by-step explanation:
ax^2+bx+c=0
Is the formula used for this question.
The given function is the same as y = 1x^2 + (-5x) + 6
Compare it to the form y = ax^2+bx+c, and we have the following:
a = 1
b = -5
c = 6
Solve for x. Thank you
Answer:
20
Step-by-step explanation:
Let the angle at the left corner is A, so the angle at the rIght corner should be (180-90-A) = (90-A).
In the left triangle:
tanA = 8√5/16 = √(5)/2
Thus,
cotA = 1/tanA = 2/√5
In the right triangle:
tan(90-A) = 8√5/x
cotA = 8√5/x [tan(90-x) = cotx]
2/√5 = 8√5/x
x = 20