Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed = [tex]\frac{distance}{time}[/tex]
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings = [tex]105^{o}[/tex]
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bcCos A
= [tex]5000^{2}[/tex] + [tex]3000^{2}[/tex] -2(5000 x 3000) Cos 105
= [tex]5000^{2}[/tex] + [tex]3000^{2}[/tex] -2(5000 x 3000) x (-0.2588)
= 2.5 x [tex]10^{7}[/tex] + 9 x [tex]10^{6}[/tex] + 7764000
= 41764000
a = [tex]\sqrt{41764000}[/tex]
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.
Which expressions are equivalent to 35+30s−45t
Answer:
Simplify:
=35+30s+−45t
=30s−45t+35
Factor:
30s−45t+35
=5(6s−9t+7)
5(6s−9t+7)
Step-by-step explanation:
Can you give me Brainliest please
NEEP HELP ASAP! Will give 17 points! Math Question???
Men and women (ages 22−40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV.
The survey showed the following frequencies:
Men—playing sports: 11; dancing: 3; watching movies/TV: 6
Women—playing sports: 5; dancing: 16; watching movies/TV: 9
Which of the following is a correct two-way frequency table for the data?
(Screenshots below of all the answers!)
Answer:
watching movies/TV
It cost $34 rent a PlayStation 4 for the week each game rental cost $10 written expression to represent the total cost of renting a PS4 and some games for the week then evaluate the expression if you were to rent four games games
Um please help me understand this
Answer:
112
Step-by-step explanation:
hope this helps :)
What is the significance of a dashed and solid line on an inequality function?
Answer:
Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.
Answer:
An inequality function is something very odd or different
Step-by-step explanation:
im sorry if wrong
if a - b = 4 and a² - b² =12, what is the value of a + b?.
help.
Answer:
a² - b² = ± 32
Step-by-step explanation:
⇒ a + b = 4
⇒ a = 4 - b ... ( 1 )
Substituting this in another equation we get,
⇒ ab = -12
⇒ ( 4 - b ) ( b ) = -12
⇒ 4b - b² = -12
⇒ b² - 4b - 12 = 0
⇒ b² - 6b + 2b - 12 = 0
⇒ b ( b - 6 ) + 2 ( b - 6 ) = 0
⇒ ( b + 2 ) ( b - 6 ) = 0
⇒ b = -2, 6
Case 1: If b = -2
⇒ a = 4 - b
⇒ 4 - ( -2 ) = 4 + 2 = 6
Case 2: If b = 6
⇒ a = 4 - b = 4 - 6 = -2
Hence the numbers are 6 and -2.
⇒ a² - b² = ?
Case 1: a = 6 and b = -2
⇒ ( 6 )² - ( -2 )²
⇒ 36 - 4 = 32
Case 2: a = -2, b = 6
⇒ ( -2 )² - ( 6 )²
⇒ 4 - 36 = -32
Hence the answer for a² - b² can be ± 32 depending on the values of a and b.
hope it help a little bit.
Answer:
3
Step-by-step explanation:
I have made it in above picture
hope it helps
Ms. Stephanie bought a package of pencils. Out of every 10 pencils, 2 are black. If there are 20 pencils in the pack, what fraction of the pencils in the pack are black? What percent of the pencils in the pack are black?
Find the equation of the line passing
through the points (4, 2) and (6,10).
y = [ ? ]x + [ ]
The equation of the line passing through the points (4, 2) and (6,10) is y=4x-14.
We have given the points (4, 2) and (6,10).
What is the formula for slope?
(Y2-Y1)/ (X2-X1) = slope
What is the slope-intercept form?
y= Mx+b. M= slope B= y-int.
(10-2) / (6-4) = 8/2
Slope=4
(4,2) choose one point then plug in
2 = 4(4)+b
2 = 16+b
b= -14
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whats 6 desks in 2 rows as a unit rate? :) if u respond tysm
Answer:
3
Step-by-step explanation:
Which expression simplifies to
-2/5 ?
A. -(1/2)×(-5/4)
B. -(1/2)×(-4/5)
C. -(-1/2)×(-5/4)
D. -(-1/2)×(-4/5)
Answer:
Answer: D)-(-1/2)×(-4/5)
PLEASE HELPPP
Solve for x:
(3x−2)(x+7)=0
A) x=−23x=7
B) x=−23x=−7
C)x=23x=7
D)x=23x=−7
70:80 simplest form as a ratio
Answer:
7 : 8
Step-by-step explanation:
70 : 80 divided by 2 =
35 : 40 divided by 5 =
7 : 8
OR
70 : 80 divided by 10 =
7 : 8
[tex]
70:80 \\ = 78[/tex]
I need the answer
Hdhehxjsvdis
Outliers Use the IQR to determine if any of the data in the data set are outliers. {23, 80, 43, 23, 0, 20, 23, 23, 20, 28} con Any data value less than or greater than are outliers. The outlier(s) for this data set is/are
The outlier of the data set given, using the IQR, is: 0.
How to Find IQR of a Data Set?IQR = Q3 - Q1.
Given, 23, 80, 43, 23, 0, 20, 23, 23, 20, 28:
Q1 = 20
Q3 = 31.75
IQR = 31.75 - 20
IQR = 11.75
Outliers for the data set are data points below:
Q1 - 1.5 × IQR = 20 - 1.5 × 11.75 = 2.375
The only data point below 2.375 is: 0.
The outlier is therefore: 0.
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I need help!!! Please help
Answer:
Step-by-step explanation:
so first
Answer:
your invers of operations are right and X = 7.5
Step-by-step explanation:
helpppppppppppp plsses
Answer:
y = 8x-3
Step-by-step explanation:
7. Malik deposited
$1,050 in a savings
account, and it earned
$241.50 in simple
interest after four years.
Find the interest rate on
Malik's savings account.
I got 5.75 on a website but I need to show my work SOMEONE PLEASE HELP ME!
can someone help me find the area of this
Pls help I made it 50 POINTS PLS HELP MEEE
Answer:
no 1 is true
Step-by-step explanation:
no2 also true. thank you
Which of these represents an integer?
a. -3 b. 4 c. 2 1/2 d. 6.2
Answer:
-3 & 4
Step-by-step explanation:
An integer is any whole number. It can be negative or positive.
Pls help just please will mark BRAINLIEST
Answer:
44.2545
Step-by-step explanation:
you can find the third angle by taking 180-(90+55)=a
a=35
use law of sines
Sin(angle)/(opposite side of angle)=Sin(another angle)/(opposite side of another angle)
so, sin(a)/A=sin(b)/B
sin(35)/33=sin(55)/x
x=sin(55)/(sin(35)/33)
x=44.2545
Hope this helps :)
A triangle has the following lengths 4 cm 5 cm and 5 cm what kind of triangle is it
If I have 2 sticks of butter and I need 2/3 cup, how much of the first and second stick did I use?
Answer:
1 1/3 sticks
Step-by-step explanation:
HELP ASAP I will mark brainliest if the answer is correct
Answer:
7- 50
8- 40
Step-by-step explanation:
Answer:
number 8 is 90 and number 7 is 50
Step-by-step explanation:
which letter matches the coordinate ( 4, -6)?
Fine the area of the trapezoid. Right answer gets brainliest!!
Step-by-step explanation:
use the formula to be able to find the area of the trapezoid
a = (a+b)÷2 × h
place the numbers into the formula
a = (30+17)÷2 × 22
solve
a = (47)÷2 × 22
a = 23.5 × 22
a = 517 m²
2
A plot of land is in the shape of a right-angled triangle whose
base and perpendicular are 65m and 72m, respectively. It its
boundary is made by using 4 round iron wire, find the total cost of..
the wire at the rate of Rs. 12 per meter. (Ans: Rs. 11,232)
Answer:
Step-by-step huh vunefvjefeffj. Vf Jeff vfnu
NEED ANSWER FAST
(please explain!!!!)
Answer:
The left answer
Step-by-step explanation:
They are asking if their is a relationship between the x and y value
for the left one, when the value of y is shown to be the x value divided by 3 as
11/3 =11 over 3, 12/3 = 4, 13/3 = 13 over 3
But the right answer does not seem to have any correlation/relationship between its x and y values
Help plsss. Select the student who solved this equation correctly
X + 7 = 19
Answer: [tex]Student 2[/tex]
Step-by-step explanation:
Hi there!
1.Subtract 7 from both sides of the equation
[tex]x + 7 = 1 9[/tex][tex]x + 7 - 7 = 1 9 - 7[/tex]2.Simplify and substract the numbers and you get the answer
[tex]=12[/tex]
A tower is topped by a right circular cone with a diameter of 24 feet and a height of 36 feet. The space inside the cone is used for housing electronic equipment.
361
Answer:
the answer is (5426)
Step-by-step explanation:
i got the answer online
The space inside the cone is 5426 cubic feet
What is the volume of a cone?
The formula for the volume of a cone is V = ( 1 / 3 ) πr²h.
Given data ,
Diameter of cone = 24 ft
Radius of cone = ( Diameter of cone / 2 ) = 12 ft
Height of cone = 36 ft
Space inside the cone = Volume of cone
Volume of Cone = ( 1 / 3 ) πr²h
= ( 1 / 3 ) x ( 22 / 7 ) x 12 x 12 x 36
= ( 22 / 7 ) x 48 x 36
= ( 22 / 7 ) x 1728
≈ 5426 cubic feet
Hence , the space inside the cone is 5426 cubic feet
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