The answer to your question is 1
rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour
The distance between Rachel and Amos after one hour is 15 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles
Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles
Let x represent the distance between Rachel and Amos, hence:
x² = 9² + 12²
x = 15
The distance between Rachel and Amos after one hour is 15 miles.
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Using the Pythagorean Theorem, they will be 15 miles apart after one hour.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:
[tex]d^2 = 9^2 + 12^2[/tex]
[tex]d = \sqrt{9^2 + 12^2}[/tex]
d = 15 miles
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please answer this question!!
A cylindrical bucket is 24 cm tall and has a radius of 5 cm. Approximately, what is the
bucket's volume?
Answer: 1884 cm³
Step-by-step explanation:
cylinder volume = π · r² · h
h = height = 24 cmr = radius = 5 cmπ = pi ≈ 3.14π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³
SOMEBOBY HELP ME OUT !!!
Answer:
Dilation of 1/2 means we have to multiply the number by 1/2
V' (-2,1)
U' (1,3)
E' (0,1)
Hope it helps :)
quadrilateral abcd is symmetric with respect to the y axis. the coordinates of point a are (-2,2), and the coordinates of point c are (2, 1). if b is in the first quadrant, what are the coordinates of b?
Answer:
The coordinate of b = (2, 2)
Step-by-step explanation:
The details of the quadrilateral abcd are;
The quadrilateral is symmetric about the y-axis (the line x = 0)
The coordinates of the vertices are; a(-2, 2), c(2, 1)
The location of the vertex, b = The first quadrant
We have;
The line [tex]\overline {ab}[/tex] is perpendicular to the line [tex]\overline {bc}[/tex]
Let (x, y) represent the coordinate of the vertex b, we have;
(y - 2)/(x - (-2)) = (y - 2)/(x + 2) = -1/(y - 1)/(x - 2) = - (x - 2)/(y - 1)
(y - 2)·(y - 1) = -(x + 2)·(x - 2)
y² + x² - 3·y - 2 = 0...(1)
y² + x² = 3·y + 2
Also we have;
(y - 2)² + (x - 1)² + (y - 2)² + (x - (-2))² = (2 - 1)² + (2 - (-2))² = 17
Therefore;
2·y² + 2·x² - 8·y + 2·x + 13 = 17
2·(3·y + 2) - 8·y + 2·x + 13 = 17
Using an online tool, we have;
x = y
From equation (1), we have;
2·y² - 3·y - 2 = 0
∴ y = 2, or y = -1/2
Where y = 2, we have;
x = y = 2
Therefore, the point b = (2, 2).
A construction worker uses a tape measure to find that a pipe is
28
100
of a meter long. Select the decimal that represents the same length.
Answer:
c 0.28 m
Step-by-step explanation:
A construction worker uses a tape measure to find that a pipe is 28/100 of a meter long. Select the decimal that represents the same length.
a 1.28 m
b 2.8 m
c 0.28 m
d 0.028 m
Given:
Length of the pipe in fraction = 28/100
What is the equivalent length in decimal?
28/100
How many hundred can you get in 28
= 0. Remainder 28
Add 0 to 28 which makes it 280
How many hundred can you get in 280
= 2 remainder 80
Add 0 to 80 which makes it 800
How many hundred can you get in 800
= 8 remainder 0
Bring all the quotient together
Therefore,
28/100 m = 0.28 m
Will Mark Brainlest Help Please !!!!!
Answer:
a = - 2, b = 3
Step-by-step explanation:
B + C
= [tex]\left[\begin{array}{ccc}6&4\\2&6\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}1&-1\\2a&-6\\\end{array}\right][/tex] ( add corresponding elements )
= [tex]\left[\begin{array}{ccc}7&3\\2+2a&0\\\end{array}\right][/tex]
Then
[tex]\left[\begin{array}{ccc}5&b\\a&0\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}7&3\\2+2a&0\\\end{array}\right][/tex]
Equating corresponding elements gives
b = 3
a = 2 + 2a ( subtract 2a from both sides )
- a = 2 ( multiply both sides by - 1 )
a = - 2
At a Noodle & Company restaurant, the probability that a customer will order a nonalcoholic beverage is . 43. Find the probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
Answer:
0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they order a nonalcoholic beverage, or they order an alcoholic beverage. The probability of a customer ordering a nonalcoholic beverage is independent of any other customer, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
At a Noodle & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.43.
This means that [tex]p = 0.43[/tex]
Find the probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
This is:
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.43)^{0}.(0.57)^{7} = 0.0195[/tex]
[tex]P(X = 1) = C_{7,1}.(0.43)^{1}.(0.57)^{6} = 0.1032[/tex]
[tex]P(X = 2) = C_{7,2}.(0.43)^{2}.(0.57)^{5} = 0.2336[/tex]
[tex]P(X = 3) = C_{7,3}.(0.43)^{3}.(0.57)^{4} = 0.2937[/tex]
[tex]P(X = 4) = C_{7,4}.(0.43)^{4}.(0.57)^{3} = 0.2216[/tex]
Then
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0195 + 0.1032 + 0.2336 + 0.2937 + 0.2216 = 0.8716[/tex]
0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30
Answer:
cos Z = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = opp / hyp
cos Z = 16/34
cos Z = 8/17
The area CA) of a Parallelogram is found by using this formula A = BH What is the area when b is 7cm and h is 3cm?
Answer:
Area of parallelogram = 21
Step-by-step explanation:
A = BH
Plug in
A = 7×3
Solve
A = 21
The answer will be 21.
which function defines the sequence 5,8,11
Answer:
adding 3 to each number.
Step-by-step explanation:
A cylindrical vase has a volume of 192.5 cubic centimeters. The height of this vase is 5 centimeters. The formula for the volume of the cylinder is πr^2h where r is the radius and h is the height of the vase. Find the radius of this vase.(Given that π ≈ 22 / 7 )
Answer:
3.5 cm
Step-by-step explanation:
v = πr²h
r = radius
π = 22/7
h = height
192.5 = 22/7 x 5 x r²
divide both sides of the equation by (7/22 x 1/5)
192.5 x 7/22 x 1/5 = r²
r² = 12.25
find the square root of both sides
r = 3.5cm
18. If the ratio of males to females in each
of two different mathematics classes
is 5 to 4, is the ratio of males to
females still 5 to 4 if the classes were
considered as one large class instead
of two smaller classes?
Ra
Answer:
Yes, the ratio is still 5:4.
Step-by-step explanation:
If you have a class of 5 males and 4 females, both numbers can be multiplied to get an even bigger class but the same ratio.
For example:
5 x 5 = 25 males
4 x 5 = 20 females
The amount of males to females is 25:20 when simplified (divided by 5) gets you back to your ratio of 5:4. You also can't go under this because the two don't have a way to get simplified without going into decimals. And I don't think decimals are very good with the number of students.
Have a good day! :)
Câu 1 : Trong các phương trình sau phương trình nào là phương trình bậc nhất một ẩn ;
A/ x-1=x+2 B/(x-1)(x-2)=0 C/ax+b=0 D/ 2x+1=3x+5
Câu 2 : x=-2 là nghiệm của phương trình nào ?
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 3 : x=4 là nghiệm của phương trình
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 4 : Phương trình x+9=9+x có tập nghiệm là :
A/ S=R B/S={9} C/ S= D/ S= {R}
Câu 5 : Cho hai phương trình : x(x-1) (I) và 3x-3=0(II)
A/ (I)tương đương (II) B/ (I) là hệ quả của phương trình (II)
C/ (II) là hệ quả của phương trình (I) D/ Cả ba đều sai
Câu 6: Phương trình : x2 =-4 có nghiệm là :
A/ Một nghiệm x=2 B/ Một nghiệm x=-2
C/ Có hai nghiệm : x=-2; x=2 D/ Vô nghiệm
Answer:
Can you please answer the question in English so I can understand the English psyche can answer your question please ask this question in English actually I'm Indian so I know only 3 languages steps
Find the H.C.F of 144,180,240,300
Answer:
12
Step-by-step explanation:
We are looking for the highest common factor
Breaking each term into primes
144 = 12*12 = 4*3 * 4*3 = 2*2*3*3
180 = 20 *9 = 4*5*3*3 = 2*2*3*3*5
240 = 24*10 = 4*6*2*5 = 2*2*2*3*2*5 = 2*2*2*2*3*5
300 = 30*10 = 5*6*2*5 = 5*2*3*2*5 = 2*2*3*5*5
Look for the common factor
2*2*3 = 12
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
A. 3.7 yds
B. 5.3 yds
C. 2.6 yds
D. 1.9 yds
The height of the given triangle is 3.7 yds. Therefore option A is the correct answer.
We need to find the height of the given triangle.
What is the formula to find the area of the triangle?The formula to find the area of the triangle is Area=√s(s-a)(s-b)(s-c).
Where s is the semiperimeter, a,b and c are sides of the triangle.
Now, s=6+10+14/2=15 yds
Area of a triangle=√15(15-6)(15-10)(15-14)=25.9
Area of triangle=1/2×14×h=25.9 square yds
⇒h=3.7 yds
Therefore, the height of the given triangle is 3.7 yds.
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For his long distance phone service, tony pays $3 monthly fees plus 11 cents per minute. Last month, Tony's long distance bill was $22.03. For how many minutes was tony billed
Answer:
173 minutes
Step-by-step explanation:
Total fees= monthly fees + $0.11(number of minutes)
$22.03= $3 +$0.11(number of minutes)
$0.11(number of minutes)
= $22.03 -$3
= $19.03
= 1903¢
11¢ (number of minutes)= 1903¢
Number of minutes
= 1903¢ ÷11¢
= 173
Thus, Tony was billed for 173 minutes.
which is the equation of the line with slope 0 passing through the point (-1,-2)?
The answer is A.
Because it goes 2 down
What is the recursive rule for this geometric sequence? 7, 21, 63, 189,…
1. a1 = 7;an = 3 • an - 1
2. a1 = 7;an = 1/3 • an - 1
3. a1 = 3;an = 7 • an - 1
4. a1 = 21;an = 7 • an - 1
Answer:
The top choice is the answer. a1=7; an= 3*a_(n-1)
Step-by-step explanation:
Begin by finding out what the terms are multiplied by. It is a geometric sequence so multiplication is involved.
Take the 3rd term (63) and divide it by the second term.
63/21 = 3
What this means is that each term in the sequence is multiplied by 3 to get to the next term.
The first term is 7
So the answer is an = 3* a_n-1
The answer must be the top one. See if it works.
a2 = 3*a_(2 -1 )
a2 = 3 * a1
a2 = 3 * 7
a2 = 21 which it does.
Ken makes $400 a week before a 5% raise, and then another 6% raise. What is his weekly pay now? Can someone please help me with this
Answer:
$445.20
Step-by-step explanation:
First, find his pay after the 5% raise:
400(1.05)
= 420
Find his pay after the 6% raise:
420(1.06)
= 445.2
So, his weekly pay is now $445.20
Find the area of the circle. Use 3.14 for the value of T Round your answer to the nearest tenth. Don't forget to find the radius first before finding the area.
10.2 in
Answer:
Step-by-step explanation:
r = d/2
r = 10.2/2 = 5.1
Area = pi * r^2
Area = 3.14 * 5.1^2
Area = 81.67 in^2
To the nearest 1/10, this is 81.7 in^2
Which of the following best describe(s) the slope of a linear function?
Select all that apply.
rise over run
run over rise
average rate of change
intersection with the y-axis
An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 6 miles per hour faster than the westbound train. After 2 hours, they are 276 miles apart. At what speeds are the two trains traveling
Both? or just the westbound?
Can someone help me solve this?
Answer:
m<c = 104°
m<d = 80°
Step-by-step explanation:
Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:
m<c + 76° = 180°
m<c + 76° - 76° = 180° - 76° (subtraction property of equality)
m<c = 104°
m<d + 100° = 180°
m<d +100° - 100° = 180° - 100° (subtraction property of equality)
m<d = 80°
please help!! geometry also might ask another question in the comments so be able to answer and I’ll mark you brainliest later :)
Coordinate of D: (2, -2)
Multiply x and y by 0.5
Answer: D = (1, -1)
Angles A and B are complementary to each other. If m2A = 26° + x and
m2B - 38° + X, what is the value of x?
A.) 13
B.) 14
C.) 58
D.) 18
Answer:
13
Step-by-step explanation:
Complementary angles add to 90 degrees
A+ B = 90
26+x + 38+x = 90
Combine like terms
2x+64=90
2x+64-64 = 90-64
2x = 26
Divide by 2
2x/2 = 26/2
x = 13
What is the translation from the preimage to the image in the graph?
Answer:
(x, y ) → (x + 7, y + 5 )
Step-by-step explanation:
Consider the coordinates of R and R'
R (- 5, 0 ) and R' (2, 5 )
x- direction : - 5 → 2 is + 7 units
y- direction : 0 → 5 is + 5 units
Translation rule is (x, y ) → (x + 7, y + 5 )
PLzzZZHELPPPP
The angle between the top of a building and a point 80 feet away from the base (on level ground) is 70° . To the nearest foot, how tall is the building?
Answer:
220ft tall
Step-by-step explanation:
From the question we are given the following:
Adjacent side of the triangle = 80feet
Angle of elevation = 70°
Required
Height of the building (Opposite)
Using the SOH CAH TOA identity:
tan theta = opp/adj
tan 70 = H/80
H = 80tan70
H = 80(2.7474)
H = 219.79ft
Hence the building is 220ft tall
HELP PLZ
Part A Translate the sentence into an expression.
2 less than 9 times h
Part B Create a scenario (word problem) using the expression above.
Part C Evaluate the expression if h is 1/3
Step-by-step explanation:
A
9×h - 2
B
the baseline of the triangle is 2 units less than 9 times the height long.
C
h = 1/3
9×1/3 - 2 = 3 - 2 = 1
What is the solution to this equation?
6(x - 3) = 3x + 9
OA.X-1
OB.X=9
OC.X=3
OD X=-3
NO WRONG ANSWERS ILL REPORT YOUR ANSWER
6(x-3)=3x+9
6x-18=3x+9
6x-3x=18+9
3x=27
x=27 ÷3
x=9
Hope this will help you
The solution is x = 9, which is an option (B).
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Let's simplify the equation by distributing 6 on the left-hand side:
6x - 18 = 3x + 9
Now, let's isolate the x terms on one side and the constant terms on the other side:
6x - 3x = 9 + 18
3x = 27
x = 9
Therefore, the solution to the equation 6(x - 3) = 3x + 9 is x = 9, which is option B.
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