Answer:
B x=-6
x=2
Step-by-step explanation:
Tran is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole at the origin. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. The final clue is located 5 units south of the flagpole. Plot the locations of the flagpole and the 3 clues on the coordinate plane and show the path students will follow from the flagpole to all three clues. . Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3?
Answer:
The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet
Step-by-step explanation:
The given coordinates of the clues for the treasure hunt are
The location of the first clue = 5 units north of the flag pole
The coordinates is (0, 5)
The location of the second clue = 6 units east of the flag pole
The coordinates is (6, 0)
The location of the final clue = 5 units south of the flag pole
The coordinates is (0, -5)
The flagpole is at the origin
The coordinates of the flagpole is (0, 0)
Each unit on the graph = 50 feet
From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;
The shortest distance between 2 points is a straight line
Therefore
The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units
The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet
The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units
The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet
By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61
The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet
pls help with this its for math pls help
Answer:
first option
Step-by-step explanation:
divide each side by 'wh' to get:
l = V/wh
TOP QUESTION^^ ILL GIVE BRAINLIEST
Answer:
Please read below:
Step-by-step explanation:
To calculate the area, you'll need πr². In this case, 3.14 * r²
If the radius is 50 feet, you'll calculate 50 * 3.14² which equals 492.98, or, B
Hope this helps :)
7. Find the area of this trapezoid. Area =
square units. Round to the nearest whole number
1: 84
2: 119
3: 240
4: 168
Answer:
2. 119
Step-by-step explanation:
need help plz.......
Answer:
oh I see. that's an interesting question but the problem is I hate maths
V 144 belongs to the set of integers.
O True
O False
Answer:
True
Step-by-step explanation:
[tex] \sqrt{144} [/tex]
is a rational number.
It is also a perfect square which means it is an integer.
Hope this Helps!:)
Answer:
Step-by-step explanation:
True. √144 = 12 (an integer) or 12/1, which is rational.
(a) An angle measures 30°. What is the measure of its supplement?
(b) An angle measures 26°. What is the measure of its complement?
Answer:
32 and 58.
Step-by-step explanation:
complementary angles add up to 90.
26+x=y
x+y=90
plug y=26+x into the above equation
x+26+x=90
2x=64
x=32
The angles are 32 and 58.
what is 48% of 60? This is for Algebra 1! :)
Answer:
48% of 60 is 28.8.
If your input is 5 what is the output?
Answer:
When the input is 5, the output is 11.
Step-by-step explanation:
Replace x with 5: 3(5) - 4 = 15 - 4 = 11
When the input is 5, the output is 11.
Determine the Equation of the line Perpendicular to 2x -3y +5= 0 and passers through (-6,-3)
9514 1404 393
Answer:
3x +2y +24 = 0
Step-by-step explanation:
In general, the equation of a perpendicular line can be found by swapping the coefficients of x and y, then negating one of them. The value of the constant will be what is required to make the line pass through the given point.
The equation will be of the form ...
3x +2y +c = 0
At the given point, (x, y) = (-6, -3), we have ...
3(-6) +2(-3) +c = 0 . . . . substitute the given point coordinates
-18 -6 +c = 0 . . .simplify
c = 24 . . . . . . . . add 24
The general-form equation for the line is ...
3x +2y +24 = 0 . . . . . shown in blue in the attachment
How do I solve this arithmetic sequence?
Answer:
The 16ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 9
Common Difference = (d) = 2
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 7 + (16 - 1) × 2
a₁₆ = 7 + 15 × 5
a₁₆ = 7 + 75
a₁₆ = 82
Thus, The 16ᵗʰ term of this sequence is 82
-TheUnknownScientist
Find the 7th term in the following sequence (n = 7)
f(n) = 5 + 8(n-1)
Also, for this question, state what a1 is (first term) and the common difference (a2 - a1).
Answer:
see explanation
Step-by-step explanation:
Substitute n = 7 into f(n)
f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53
f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence
f(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
By comparison, then
a₁ = 5 and common difference d = 8
3. There are 32 students in the school play. The ratio of girls to all students
in the play is 5: 8. How many girls are in the play?
4. Two out of three vehicles in a parking lot are SUVs. There are 18 SUVs
in the parking lot. How many vehicles are in the parking lot
What is the answer to this question?
(3+√5)^2
Answer:
the answer to this is
14 + 6√5
At an ice cream shop, three flavors are increasing in demand. Last year, banana, pumpkin, and rocky road ice cream made up 13% of total ice cream sales. This year, the same three ice creams made up 18.1% of ice cream sales. The percentage of rocky road sales doubled, the percentage of banana sales increased by 50%, and the percentage pumpkin sales increased by 20%. If the rocky road ice cream had one less percent of sales than the banana ice cream, find out the percentage of ice cream sales each individual ice cream made last year
Answer:
Banana made=3.22
Pumpkin made=7.86
Rocky road ice cream made=1.89
Step-by-step explanation:
From the question we are told that
1st year sales(banana, pumpkin, and rocky road ice cream) [tex]S_1= 13\%[/tex]
2nd year sales:[tex]S_2=18.1\%[/tex]
Rocky road sales doubled
Banana sales increased by 50%
Pumpkin sales increased by 20%
Rocky road ice cream had one less percent then banana
Let
Banana =x
Pumpkin=y
Rocky road ice cream=z
Generally the first year equation is given mathematically as
[tex]x+y+z=13......(1)[/tex]
Generally the second year equation is given mathematically as
100% increase in Rocky road ice cream sales()z i.e double
[tex]2*z=2z[/tex]
50% increase in banana ice cream sales()x
[tex]=>1*0.50=0.5\\=>0.5+1x=1.5x[/tex]
20% increase in pumpkin(y)
[tex]=>1*0.20=0.2\\=>0.2+1x=1.2y[/tex]
Therefore second year equation is given as
[tex]1.5x+1.27y+2z=18.1.....(2)[/tex]
Generally where rocky road ice cream had one less percent of sales than the banana ice cream the equation is given as
[tex]1.5x-2z=1........(3)[/tex]
Therefore combining the three equations
x+y+z=13
1.5x+1.27y+2z=18.1
1.5x-2z=1
matrix form
[tex]\begin {bmatrix}1 & 1& 1 & 13\\1.5 & 1.2 & 2 & 18.1\\1.5 & 0 & -2 & 1\end{bmatrix}[/tex]
Generally the determinant of the first three columns
[tex]\triangle=1.8[/tex]
Solving with Crammers Rule by solving Determinant when;
Column 4 replace column 1
[tex]\triangle_1=5.8[/tex]
Column 4 replace column 2
[tex]\triangle_2=14.15[/tex]
Column 4 replace column 3
[tex]\triangle_3=3.4[/tex]
Therefore x is given my
[tex]x=\frac{\triangle_1}{\triangle}[/tex]
[tex]x=\frac{5.8}{1.8}[/tex]
[tex]x=3.22[/tex]
Therefore y is given my
[tex]y=\frac{\triangle_2}{\triangle}[/tex]
[tex]y=\frac{14.15}{1.8}[/tex]
[tex]y=7.86[/tex]
Therefore z is given my
[tex]z=\frac{\triangle_3}{\triangle}[/tex]
[tex]z=\frac{3.4}{1.8}[/tex]
[tex]z=1.89[/tex]
Therefore
Banana made=3.22
Pumpkin made=7.86
Rocky road ice cream made=1.89
Find the surface area of the pyramid.
Answer:
129.6
Step-by-step explanation:
A= 1/2 bh
=7.8 x 9 x 1/2
= 35.1
A= 1/2 bh
=7x 9 x 1/2
= 31.5
31.5 x 3
= 94.5
Add
35.1 + 94.5 = 129.6
I begin with a three-digit positive integer. I divide it by 9 and then subtract 9 from the answer. My final answer is also a three-digit integer. How many different positive integers could I have begun with?
Answer:
4
Step-by-step explanation:
Answer:3
Step-by-step explanation:
Find the greatest common factor of 4c3 and 6m2.
Answer:
The GCF is 2
Step-by-step explanation:
Here, we want to find the greatest common factors of the two terms
We have the terms written in terms of the products of their multiples as follows;
4c^3 = 2 * 2 * c * c* c
6m^2 = 2 * 3 * m * m
As we can see, the greatest common factor of the two is simple the value 2
How much money will there be in an account at the end of 10 years if $3000 is deposited at 3% interest compounded
semi-annually? (Assume no withdrawals are made. Use the formula A=P
-p(1-4)
for compound interest,
Answer:
$4040.57
Step-by-step explanation:
A=P(1+(r/n))^nt
P = Principal = 3000
r = rate = 0.03
n = no. times payed each year = 2
t = years = 10
A = 3000(1 + (0.03/2))^(2x10)
A = 3000(1.015)^20
A = 4040.57 (2.d.p)
Hope this helped!
The difference between 3 1/2 and 1 4/6 is _____.
A. 1 4/5
B. 2 4/5
C. 2 7/10
D. 1 7/10
Answer:
1 5/6.
Step-by-step explanation:
3 1/2 - 1 4/6
= 3 1/2 - 1 4/6
= 7/2 - 10/6 The LCM of 2 and 6 is 6 so:
= 21/6 - 10/6
= 11/6
= 1 5/6.
How does Momma act differently when she is with her mother in Alabama compared to how she acts at home in Flint? plz i will gave brainest
Answer:Watson act differently when she is with her mother in Alabama compared with how she acts at home in Flint? Mrs. Watson acts calm in front of her Mother. In Flint, Mrs.
Step-by-step explanation:
What is a correct name for the angle shown? R S T O LE O ZS O LEITE O LEFT
Answer:
RTS.
Step-by-step explanation:
This is an obtuse angle.
Help please anyone? ASAP!!! GIVING 15 POINTS FOR RIGHT ANSWER PLEASE
Answer:
=1.283 , 0.779 seconds
Step-by-step explanation:
h=2+33t-16t²
when h=18 ft
then18=2+33t-16t²
→ 16t²−33t+16=0
t= [−(−33)±√{(−33) ²−4×16×16)}]/(2×16)
= [33±√{1089−1024}]/(32)
= [33±√{65}]/(32)
=1.283 , 0.779 seconds
A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation.
Using this equation, find out the time at which the rocket will reach its
max, to the nearest 100th of a second.
y = 16x^2+ 238x + 81
Answer: 7.44
Step-by-step explanation: DeltaMath
Six friends attend a music concert and spend $27 per ticket. They each purchase a souvenir t-shirt. If the friends spend a total of $231, how much does each souvenir t-shirt cost
Answer:
11.50
Step-by-step explanation:
6x27=162
231+-162=69
69 divided by 6 is 11.5
11.5=11.50
11.50 is your answer
Answer:
$11.50.
Step-by-step explanation:
If there are 6 friends, and every ticket costs $27, then we need to multiply.
6 x 27 = 162.
Then, we subtract the cost of the tickets so we can find the total cost of the souvenir t-shirts.
231 - 162 = 69.
Since each of the 6 friends bought a souvenir t-shirt, we divide the total cost by the number of people.
[tex]\frac{69}{6}[/tex] = 11.5.
So, each t-shirt costs $11.50.
Erica's bill for breakfast at a restaurant was $64. She left an 18% tip. What was the amount of the tip?
Answer:
$11.52
Step-by-step explanation:
18% of 64 is 11.52
Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?
Answer:
Step-by-step explanation:
Please see diagram attached.
Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.
So they are 110,000 + 110,000 = 220,000km apart.
Answer:
Step-by-step explanation:
AC is 220000km according to the drawing:
Find the value of x. X=
Answer: x=9
Step-by-step explanation:
24/36=6/x
24/36=2/3
2*3=6
3*3=9
Answer:
x= 12
Step-by-step explanation:
What is the sign of 37+(-37)
Answer:
0
Step-by-step explanation:
it is neither positive nor negative.
if it helps don't forget to like and mark me
Which is the equation in slope-intercept form for the line that passes through (-1,5) and is parallel to 3x + 2y = 4?
Answer asap please
Answer:
3.24
Step-by-step explanation: