Answer:
D = 3 √5 units
Step-by-step explanation:
Here, we want to find the distance between these two points
to get this, we use the distance formula as follows
D = √(x2-x1)^2 + (y2-y1)^2
so we have for (3,-6) and (9,-3)
D = √(3-9)^2 + (-6 + 3)^2
D = √(36 + 9)
D = √(45)
D = 3√5 units
A store kept track of its total sales for three weeks in a row. This table shows how much money in sales the store earned each week.
How much more money in sales did the store earn in sales in week 2 than in weeks 1 and 3 combined?
$2,519
$2,421
$2,419
$1,294
Week Sales ($)
1 13,674
2 28,473
3 12,380
Answer:
$2419
Step-by-step explanation:
week2 - (week1 + week3) = difference
28473 - (13674 + 12380) = 2419
pls answer fast pls
If perimeter of a square shaped garden is 40m then its
area is
a. 160m2
b. 400m2
c. 1600m2
d. None of These
Answer:
d. none of these
Step-by-step explanation:
Area of square= side ×side
Let x meters be the length of a side of the square.
Perimeter= 4(side)
4x= 40
Dividing by 4 throughout:
x= 40 ÷4
x= 10
Area of garden
= x²
= 10²
= 100m²
Answer:
d
Step-by-step explanation:
PLEASE ANSWER ASAP Mia randomally surveys students in her middle school to learn about their favorite type of novel. Of 40 respondents, 16 liked to read mystery novels. Based on Mia's data, how many of the 350 students in her middle school like to read mystery novels?
Answer:
140
Step-by-step explanation:
40 divided by 16 = 2.5 . 350 divided by 2.5=140 hope this helped
Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16
Answer:
A
Step-by-step explanation:
3 goes into 9
4 goes into 12
And 5 goes into 20
Sam is skiing down a mountain. He starts at the peak 97 yards above sea level and skis down the mountain at a rate of 1.5 yards per second. If it takes him 3 minutes to reach flat ground at sea level, what is the measure of the angle that the mountain slope forms with the ground at sea level to the nearest degree?
Answer:
5.2 degrees the mountain slope forms with the ground at sea level
The angle that the mountain slope forms with the ground at sea level is 20.64°
What is speed?"The distance covered by an object in unit time."
What is hypotenuse?"The longest side of a right triangle."
What is sine angle?"In a right triangle for angle θ ,
sin(θ) = opposite side / hypotenuse "
For given example,
Consider the following figure for given example.
Sam starts skiing at the peak 97 yards above sea level.
⇒ XY = 97 yards
He skis down the mountain at a rate of 1.5 yards per second.
⇒ speed = 1.5 yards per second
It takes him 3 minutes to reach flat ground at sea level.
⇒ t = 3 minutes
⇒ t = 180 seconds
XZ is the distance between peak of a mountain and the ground.
Using speed formula,
⇒ speed = XZ / times
⇒ 1.5 = XZ / 180
⇒ XZ = 1.5 × 180
⇒ XZ = 270 yards
This means the hypotenuse of right triangle XYZ is 270 yards.
Now, we need to find the angle that the mountain slope forms with the ground at sea level.
[tex]\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}[/tex]
Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°
Learn more about sin(θ) here:
https://brainly.com/question/1870057
#SPJ2
The diagram shows a rectangle PQRS.
PQ = 14 cm and QR = 9 cm.
The point A lies on PS so that PA = 5 cm.
The point Blies on SR so that BR = 8 cm.
Answer:
a) The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is approximately 14.866 centimeters.
Step-by-step explanation:
a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:
[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]
[tex]A = 43\,cm^{2}[/tex]
The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is determined by Pythagorean Theorem:
[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)
[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]
[tex]AQ \approx 14.866\,cm[/tex]
The length of the line segment AQ is approximately 14.866 centimeters.
brenda runs 3 miles every morning.What is the time taken to complete her daily jogging if she jogs one mile in 6 mins
Viktoriya solved an equation as shown below. 5 (x minus 2) minus 3 x = 2 (x minus 3) minus 16. 5 x minus 10 minus 3 x = 2 x minus 6 minus 16. 2 x minus 10 = 2 x minus 22. Negative 10 = negative 22. She says that the equation has infinitely many solutions. Which describes Viktoriya's error
Answer:
The conclusion is wrong
Step-by-step explanation:
The following steps are given
[tex]5(x-2)-3x=2(x-3)-16[/tex]
[tex]5x-10-3x=2x-6-16[/tex]
[tex]2x-10=2x-22[/tex]
[tex]-10=-22[/tex]
Required
The error
Going through the steps, we can see that there are no mistakes in any of the step.
However, the conclusion that there are infinitely many solutions is wrong
because the solution actually has no solutions.
Answer:
no solutions
I believe
hope I helped
Step-by-step explanation:
the standard normal curve shown below models the population distribution of a random variable. what proportion of the values in the population does not lie between the two z-scores indicated on the diagram?
Answer:
The answer is B. 0.1131 because the molecule has been observed and the hill is upwards so there you have
help asap pls -=-=-=-=--------------
Answer:
-1/3
Step-by-step explanation:
at x=0 y= 5
at x=3 y= 4
y=ax+b
b= 5
4=3x+5
3x= -1
x= -1/3
[tex]y = - \frac{x}{3} + 5[/tex]
The terminal side of 0 is in quadrant II and cos 0 = -5/13. What is sin 0?
Answer:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos\theta =-\frac{5}{13}\text{ where $\theta$ is in QII}[/tex]
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):
[tex]o=\sqrt{13^2-5^2}=12[/tex]
And since θ is in QII, sine is positive, and cosine and tangent are both negative.
Sine is the ratio of the opposite side to the hypotenuse. Therefore:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Cos (2a) [tg (2a) - tg (a)] = tg (a) Es de identidades trigonométricas y realmente no entiendo ¿me ayudan?
Answer:
Se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].
Step-by-step explanation:
A continuación, vamos a emplear las siguientes identidades trigonométricas:
[tex]\cos 2\alpha = \cos^{2} \alpha - \sin^{2}\alpha[/tex] (1)
[tex]\tan 2\alpha = \frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha}[/tex] (2)
Ahora aplicamos estas identidades a la identidad descrita en el enunciado:
[tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex]
[tex](\cos^{2}\alpha - \sin^{2}\alpha)\cdot \left(\frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha} - \tan \alpha \right) = \tan \alpha[/tex]
[tex](\cos^{2}\alpha -\sin^{2}\alpha) \cdot \left[\frac{2- (1-\tan^{2}\alpha)}{1-\tan^{2}\alpha} \right]\cdot \tan\alpha = \tan \alpha[/tex]
[tex](\cos^{2}\alpha - \sin^{2}\alpha) \cdot \left[\frac{1+\tan^{2}\alpha}{1-\tan^{2}\alpha} \right] = 1[/tex]
[tex](\cos^{2}\alpha -\sin^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = 1 - \tan^{2}\alpha[/tex]
[tex]\cos^{2}\alpha \cdot (1-\tan^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = (1-\tan^{2}\alpha)[/tex]
[tex]\cos^{2}\alpha \cdot (1+\tan^{2}\alpha) = 1[/tex]
[tex]\cos^{2}\alpha\cdot \sec^{2}\alpha = 1[/tex]
[tex]1 = 1[/tex]
Por tanto, se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].
does this graph show a function pic out of the multiple choice to explain how
Answer:
B
Step-by-step explanation:
The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.
Expand 3(c + 3).
3(c + 3) =
Answer:
3c + 9
Step-by-step explanation:
Remember to multiply everything in the brackets by the number outside the brackets.
simplify and expand the equation below
7(2-x)-(x-3)
Answer:
- 8x + 17
Step-by-step explanation:
7(2 - x) - (x - 3)
14 - 7x - x + 3
- 8x + 14 + 3
- 8x + 17
Please help i just need to know how to answer these kind of questions
Answer:
Since you didn't ask for the answer
Step-by-step explanation:
sec(∆)=1/cos(∆)
For the above diagram,cos(∆)=15/17
sec(∆)=1/(15/17)
NOTE:I replaced theta
Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could represent the depth at which the emerald is located?
A number line going from negative 3 to positive 3 in increments of 1.
Negative 2 and one-third meters
Negative three-fourths meters
Negative one-fourth meters
Negative 1 and StartFraction 5 Over 6 EndFraction meters
Answer:
-3/4 meters could represent where the emerald is located in.
Step-by-step explanation:
Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. -0.75 or -3/4 could represent the depth at which the emerald is located.
Ignoring 12/6 date. . .Anyways, to find the answer first you have to look at all answers and figure out which negative numbers are between -1/2 and -1 2/3.
Long story short your answer is -3/4 meters :D
PLEASE HELP!!!
Write the factored form of the least common denominator needed to simplify this expression
Answer:
(g+5)x(g-3)
Step-by-step explanation:
Solve for x (picture attached) Thank you!
Answer:
x= 52
Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?
PLEASE HELP!!!!!
The double box plot below shows the number of daily visitors to two national parks.
Use medians to compare the centers of the data sets.
Which park has greater variability in the number of daily visitors? Show your work.
In general, which park has more daily visitors? Justify your response.
For which park, could you more accurately predict the number of daily visitors on any given day? Explain.
Answer:
Kindly check explanation
Step-by-step explanation:
From the boxplot attached :
Summer lake :
Median = 60 ( point in between the box)
Variability is given by the Range = maximum - minimum = 80 - 40 = 40
Maximum number of visitors = 80
Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day
Canyon Overlook:
Median = 80 ( point in between the box)
Variability is given by the Range = maximum - minimum = 120 - 30 = 90
Maximum number of visitors = 120
HELPPPPP!!!!!!
The kinetic energy of a moving object
equals half of its mass times the square of
its velocity. Write this as an equation, and
solve for the kinetic energy of a baseball
with a mass of 0.14 kilograms traveling 40
meters per second. The kinetic energy is
the unlock number.
Your answer
Answer:
KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]
Step-by-step explanation:
Kinetic Energy (KE) = (1/2)*mass*v^2
KE=(1/2)*.14*40^2
KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]
Please help I’ll give brainliest
Answer:
you will subtract the power
Find two numbers if their Least Common Multiple, LCM is 100 and their Highest Common Factor, HCF is 5. Give two possible pairs of answers.
Step-by-step explanation:
Let H = HCF(A,B) and L = LCM(A,B)
Then A*B = L*H
Here L*H = 100*5 = 500
Also H <= A ,B <= L
So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.
Here 500 = 2^2 * 5^3
so possible values of A and B are
1 , 500
2, 250
4, 125
5,100
10,50
20,25
(assuming order doesn’t matter.)
so pairs satisfying given condition are → (20,25) and (100,5)
You can write a computer program in language of your choice to do it for other bigger numbers.
To find a reasonable estimate using decimal numbers, round the decimal to the nearest whole number, so for example 3.4 x 7.5 You can round 3.4 and 7.5 what would the the answer be? I need help answer please
Answer:
The answer after rounding is 24
Step-by-step explanation:
You would round down 3.4 to 3 and round up 7.5 to 8
3 x 8 = 24
The actual answer of 3.4 x 7.5 is 25.5, so 24 isn't too far off.
the equation 4y= -3x + 20 is dilated with a scale factor of 2 centered at the (4,2) What is the equation of the line after the dilation ?
Answer:the same?
4y=-3x+20
I’m not quite sure
Find the greatest four digit square number by division method
Can someone help me? It's urgent and thank you!
Answer:
6 percent
Step-by-step explanation:
None
A group of students were surveyed to find out if they like playing tennis or volleyball in PE class. The results are shown in the table:
Complete the table and answer the following questions.
a. What percentage of the total students surveyed like both
Volleyball and Tennis?
b. What is the probability that a student who likes
Volleyball does not like Tennis?
Answer:
a) 41.666...%
b) 10/120 or 1/12
Step-by-step explanation:
50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%
10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12
:) ur welcome
PLZZ HELPPPP MEEEEE WITH THIS QUESTION!!!!!!!!!!
Answer:
Total cost of meal = $188.60
if he paid 15% and left 15% altogether =15%+15%
=30%
Hence,the total cost will be
= $188.60 * 30/100
=$56.58
I hope this helps
HELP ASAP
Which of the following is NOT a statistical question?
a. How old are the members of the football team?
b. Who is the captain of the football team?
c. What is the average 40-meter dash time for players on the football team?
d. How tall are the players on the football team?
Answer:
who is the captain of the football team
Step-by-step explanation:
i might be wrong i havent taken a class that neads this, but all the others need a bunch of values from a group of people. this is just asking who someone is