Answer:
So the answer would be no, because the length of the rope is needs to be 46 and 35 is not long enough
Step-by-step explanation:
A flagpole, rope and the length of secure point from the flagpole are forming the right triangle, where the rope is a hypotenuse. Let a = 45 and b = 10ft. Use Pythagorean Formula to find length of the rope c
a² + b² = c²
Since we are going to solve for c, we set up the equation like this:
c² = 45² + 10² (Substitute into formula)
c² = 2,025 + 100 (Add)
c² = 2,125 (Simplify)
√c² = √2,125 (Take the square root from both sides)
c = 46.09772228646444 (Round to the nearest whole number)
c = 46
So the answer would be no, since the length of the rope needs to be 46ft long and a 35 foot piece of rope is not long enough.
Alex is 1.6 m tall and Noah is 1.5 times as tall as Alex. How much tall is Noah in centimeters?
What is 2 5/12 divided by 3/4
Answer:
2 20/36.Step-by-step explanation:
Given equation:
2 5/12 ÷ 3/4Solve:
2 5/12 ÷ 3/4= 2 5/12 * 4/3= 2 5*4/12*3= 2 20/36.Kunio puts $2,200.00 into savings bonds that pay a simple interest rate of 2.4%. How much money will the
bonds be worth at the end of 4 years?
O $4,734.40
O $2,387.25
O $2,411.20
O $211.20
Answer:
$2,411.20
Step-by-step explanation:
Use the simple interest formula: A = P(1 + rt)
A = Final amount (?)
P = Starting amount (2200)
r = Rate (0.024)
t = Time in years (4)
A = 2200(1 + 0.024 · 4)
A = 2200(1.096)
A = 2411.2
WHICH IS BIGGER
WHICH IS BIGGER
Answer:
2.97 with the line
Step-by-step explanation:
the line tells you that the 97 will repeat
2.9797 is more than 2.9782
Find the distance between the points (6, 4) and (10, 7).
Answer:
5 units
Step-by-step explanation:
Use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex] where [tex]d[/tex] is the distance between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
Given that [tex](x_1,y_1)\rightarrow(6,4)[/tex] and [tex](x_2,y_2)\rightarrow(10,7)[/tex], then:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(7-4)^2+(10-6)^2}\\\\d=\sqrt{3^2+4^2}\\\\d=\sqrt{9+16}\\\\d=\sqrt{25}\\\\d=5[/tex]
This means that the distance between (6,4) and (10,7) is 5 units
Which expression is equivalent to 4f^2/3 divided by 1/4f?
Answer:
16f^3 / 3
Step-by-step explanation:
Ur mom told me trust
Answer:
16f^3/3
(A on Edge)
Step-by-step explanation:
Did Edge
i'll give brainlist for you if you help me
Answer:
the period of this graph is 2[tex]\pi[/tex]
Step-by-step explanation:
The period is the length of the section that repeats. So for this graph, we need to calculate the distance between 2 peaks or 2 troughs of the curve.
Let's look at the peaks (maximums).
One is at x = 0 and the next is at x = 2[tex]\pi[/tex]
2[tex]\pi[/tex] - 0 = 2[tex]\pi[/tex]
Therefore, the period of this graph is 2[tex]\pi[/tex]
From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
Find two numbers whose sum is 15 and difference is 3.
Answer:
The two numbers are 6 and 9
Step-by-step explanation:
Let the two numbers be x and y
x+y = 15
x-y = 3
Add the two equations together to eliminate y
x+y = 15
x-y = 3
----------------
2x = 18
Divide by 2
2x/2 = 18/2
x = 9
Now we can find y
x+y = 15
9+y = 15
y = 15-9
y = 6
The two numbers are 6 and 9
Can someone please help me with this question, I have multiple of them and have no idea where to start. If you can help me with this please show how you got it because im clueless
Answer:
Step-by-step explanation:
m ∠ D + m ∠ E + m ∠ F = 180°
m ∠ D = m ∠ F - 14
m ∠ E = 2( m ∠ F ) + 10
m ∠ F - 14 + 2( m ∠ F ) + 10 + m ∠ F = 180°
4( m ∠ F ) = 180 + 4
m ∠ F = 46 °
m ∠ E = 2 × 46 + 10 = 102 °
m ∠ D = 46 - 14 = 32 °
Answer:
D = 32°
E = 102°
F = 46°
Step-by-step explanation:
The measure of angle D is 14 less than the measure of angle F
⇒ D = F - 14
The measure of angle E is 10 more than twice the measure of angle F:
⇒ E = 2F + 10
So we have now constructed two equations:
Equation 1: D = F - 14
Equation 2: E = 2F + 10
Also, we know that the sum of the interior angles of a triangle is 180°.
Therefore, D + E + F = 180
Substitute the two equations we have constructed for D and E into the sum of the interior angles equation and solve for F
D + E + F = 180
⇒ (F - 14) + (2F + 10) + F = 180
⇒ 4F - 4 = 180
⇒ 4F = 180 + 4 = 184
⇒ F = 184 ÷ 4
⇒ F = 46°
Now substitute the found value of angle F into the two equations for D and E:
D = F - 14
⇒ D = 46 - 14
⇒ D = 32°
E = 2F + 10
⇒ E = 2(46) + 10
⇒ E = 92 + 10
⇒ E = 102°
I need help please. its hard..
hello againn
okay, so lets see how 32 can become 20. We can subtract 12, so that is possible. Lets check with our other inputs.
if all inputs - 12 = the output, that is the function.
14 - 12 = 2. 2 is our output, so that is a very good sign.
We cant check the third one, so lets skip that for now.
-2 - 12 = -14, which is our output. (yay!!!)
And we cant fill in the last one, which is okay.
So now we know our function is y = x - 12.
Now we fill in the question marks.
The third one. -6 + 12 = 6. The input for 3. is 6.
Last one, 10 - 12 = -22.
Function: y = x-12
Fill ins, third = 6
Last = -22.
:D!!!
The blue dot is at what value on the number line
Answer:
8
Step-by-step explanation:
It's counting by 2's
Find two consecutive whole numbers that square root 47 lies between
Answer:
6 and 7
Step-by-step explanation:
6^2 = 36
7^2 = 49
36 < 47 < 49
so the two consecutive whole numbers are 6 and 7
A class votes for their class president
Candidate A receives 21 votes, which is 60% of the vote.
What is the total number of students who voted?
Answer: 35
Step-by-step explanation:
The total number of students who voted is 35.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A class votes for their class president Candidate A receives 21 votes, which is 60% of the vote.
The total number of students who voted,
= 21 x100 / 60
= 2100/60
= 35
Therefore, 35 students voted.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
5. The table shows the number of stars in four galaxies.
Galaxy Galaxy J Galaxy K Galaxy L Galaxy M Number of Stars
815,234,796,002
851,243,679,010
815,234,739,120
851,432,697,201
List the galaxies in order from the least number of stars to the greatest number of stars.
Answer:
851,243,679,010
851,432,697,201
815,234,739,120
815,234,796,002
what does 118=k+70 answer?
[tex]118 = k + 70 \\ 118 - 70 = k \\ 48 = k[/tex]
Answer: 48
Step-by-step explanation:
You do opposite operations, so instead of adding 70, you subtract subtract it- 118-70=k+70-70. You do it to both sides to keep the equation balanced. Simplify to get 48=k.
Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid. Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? Show Your Work. ( Will Mark Brainliest if answered correctly and Honestly).
Answer:
5
Step-by-step explanation:
Pyramid
[tex]\textsf{volume of a square based pyramid} =\frac{1}{3} a^2h[/tex]
(where [tex]a[/tex] = base edge, and [tex]h[/tex] = height)
Given:
base edge = 9 cmheight = 10cm[tex]\implies \textsf{volume} =\frac{1}{3} \times 9^2\times10=270 \ \mathsf{cm^3}[/tex]
Wax cubes
volume of a cube = w³, where w is the length of one edge
⇒ volume = 4³ = 4 x 4 x 4 = 64 cm³
Solution
To calculate how many wax cubes are needed, divide the volume of the pyramid by the volume of a wax cube:
⇒ 270 ÷ 64 = 4.21875
⇒ 5 wax cubes are needed to make the candle
We need to round this up to 5, since we need to know the number of whole wax cubes. (If we rounded down to 4, there would not be quite enough to fill the pyramid as 4 x 64 = 256 < 270)
A letter is randomly selected from the word ‘‘computer.’’ Find the
probability that the letter is
a. A ‘‘t’’.
b. An ‘‘o’’ or an ‘‘m’’.
c. An ‘‘x’’.
d. A vowel.
with solution please asap
Step-by-step explanation:
a=> let t denote the number of t
n(t)=1
number of total letters, n(s) = 8
Now,
probability of getting t ,P(t)
= n(t)/ n(s)
= 1/8
b=> let o denote the number of o and
m
n(o)=2
number of total letters, n(s) = 8
Now,
probability of getting t ,P(o)
= n(o)/ n(s)
= 2/8
= 1/4
c=> let x denote the number of x
n(x)=0
number of total letters, n(s) = 8
Now,
probability of getting a x, P(x)
= n(x)/n(s)
= 0/8
= 0
d=> let v denote the number of vowel
letters
n(v)=3
number of total letters, n(s) = 8
Now,
probability of getting a vowel
letter,P(v) = n(v)/n(s)
= 3/8
I hope my answer was helpful
Find the location of Boston as an ordered pair
Convert from radians to degrees.
Answer:
135°
Step-by-step explanation:
What’s the correct answer for this question?
Answer: 2295 ft ^2, 255 yd^2
Step-by-step explanation:
The area of the field is the length times the width.
Since there are 3 feet in 1 yard, 15 yards = 45 feet.
So the area in square feet = 45*51 feet^2 = 2295 ft ^2
Since there are 1/3 yard in 1 feet, 51 feet = 17 yards
So the area in square yards = 15*17 yard^2 = 255 yd^2
Cost of a bicycle: $1,500.00
Markup: 25%
Answer:
1875
Step-by-step explanation:
1500 x .25 is 375 add them together
Solve for y.
4
-16 = -79
=
Simplify your answer as much as possible.
Answer:
The answer is -15.75 because 4= -16= -79 you have to turn 16 positive so add 16 to -79 to get -63 then divide by 4 to get the answer -15.75.
Find the exponential function that contains the points (2,40) and (3,8).
Answer:
Moving from point A (2,40) to point B (3,8) , you move 32 units down and one unit right, meaning your slope is 32x.
Your y-intercept is 104.
Altogether, your function (in y = mx + b format) will look like this:
y = -32x + 104
A hot-air balloon, headed due east at an average speed of 30 miles per hour at a constant altitude of 95 feet, passes over an intersection (see the figure). Find an expression for its distance d (measured in feet) from the intersection t seconds later.
Step-by-step explanation:
1 mile = 5280 ft
1 hour = 3600 seconds (60 minutes of 60 seconds each).
the open question here is : do we need the ground distance, or really the line of sight distance (e.g. directly above the intersection the distance is 0 ft ground distance but 95ft line of sight distance) ?
based on the above conversions the speed
30 miles per hour = 30×5280 ft per 3600 seconds =
= 158,400 ft / 3600 s = 44 ft/s
so, the balloon moves away from the intersection 44 ft every second.
so, just for ground distance in ft we would have
d = 44t
for the line of sight distance we need to use Pythagoras, as we need to calculate the length of the Hypotenuse (= the line of sight) of the right-angled triangle of ground distance, height and line of sight.
the ground distance is again the same function as before (44t). height is constant (95 ft).
so,
d² = (44t)² + 95² = 1936t² + 9025
d = sqrt(1936t² + 9025)
so, e.g. after 1 second the line of sight distance would be
d = sqrt(1936×1 + 9025) = sqrt(1936 + 9025) =
= sqrt(10961) = 104.6947945... ft
that means although the ground distance increased by 44 ft, the line of sight distance increased only by roughly 10 ft.
that's how right-angled triangles work.
after 2 seconds d = 129.4951737... ft, so, roughly a 25 ft increase compared to 1 second. the change rate of the line of sight distance (the Hypotenuse) will get closer and closer to the (constant) change rate of the ground distance (but will never fully reach it - only in infinity ...).
The elevator of a hotel has a maxirnurn weight capacity of 2,000 pounds. If there are 3 people on the elevator that have a combined weight of 460 pounds, write AND SOLVE an inequality expressing the possible weights that may be added to the elevator, Use "W" to represent weight.
Answer:
W=460+460+460
W=1380
2000≠1380
2000-1380=620
2000=1380+620
In how many ways can a committee of four people be chosen from a group of 20 people?
Answer:
what is the answers is it multiple choice?
Step-by-step explanation:
What is 2x + 3y + 5 = 0 in the form of y = mx + c? please kindly explain in detail.
Answer:
3y = -2x - 5
Step-by-step explanation:
y = mx + c-----(i)
2x + 3y + 5 = 0
collect like terms to match that of (i) following where x and y are
3y + 5 = -2x
3y = -2x - 5
y = mx + c
A 34-foot tall utility pole is supported by two wires that are anchored 8 feet from the
base of the pole. How many feet of wire is
needed for the support wires?
Answer:34.93
Step-by-step explanation:
Using a^2+b^2=c^2we can substitute a and b in which is 34^2+8^2=c^21156+64=c^21220 = c^2Now we need to square both sides√1220 = √c^234.9284983931 ----> 34.9334.93 = cc = 34.93
Deandre exercises no less than 35 minutes per day.
Help express as an inequality
Answer:
35 < x
Step-by-step explanation:
the greater than symbol (<) indicates its previous number to be smaller than the next number. as Deandre exercises more than 35 hrs, the inequality would be 35 < x