See image for question.
Please show workings and diagrams.
Answer:
a) 7 kmb) 298°Step-by-step explanation:
See attached diagram (not to scale).
All given details reflected.
a) Find the measure of XZ using the law of cosines:
y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)b) Now using the law of sines find the measure of angle X:
7 / sin 135° = 5 / sin X sin X = 5 sin 135° / 7m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)The bearing of Z from X is:
270° + 28° = 298°What is the equation from this graph?
The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven?
2. A kitten is gaining 0.6 pounds per week. The kitten is currently seven pounds. After how many weeks will the kitten be at least 10 pounds?
Answer:
Here is the answer
Step-by-step explanation:
The kitten weighs_____pounds every week -0.6 pounds
Weight of the kitten at current time -7 pounds
Weeks it will take for the kitten to reach 10 pounds -0.6+7=7.6
now round it off and you will get 7
∴the kitten will take 7 more weeks for getting to 10 pounds
The kitten will be at least 10 pounds after 5 weeks. Let's set up an equation to solve for the number of weeks needed for the kitten to reach at least 10 pounds.
Let "w" represent the number of weeks.
The weight of the kitten after "w" weeks can be calculated as:
Weight = Initial weight + (Weight gained per week * Number of weeks)
Weight = 7 + (0.6 * w)
We want to find the number of weeks when the weight is at least 10 pounds:Weight ≥ 10
Substituting the equation for weight:
7 + (0.6 * w) ≥ 10
Subtracting 7 from both sides:
0.6 * w ≥ 3
Dividing both sides by 0.6:
w ≥ 3 / 0.6
w ≥ 5
Therefore, the kitten will be at least 10 pounds after 5 weeks.
To know more about kitten:
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Can someone explain their answer?
Answer: -36
Step-by-step explanation:
13, 6, -1
to get from 13 to 6 and 6 to -1, you would subtract by 7 so keep subtracting by 7 until you get 8 different terms
13, 6, -1, -8, -15, -22, -29, -36
the eighth term would be -36
i hope that makes sense
Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
Step-by-step explanation:
Since there are 3 w's and a 1 on one side and 7 1's on the other and the hanger diagram shows they are even, we can set them equal to each other.
3w + 1 = 7 Subtract 1 from both sides
3w = 6 Divide 3 from both sides
w = 2
What goes on the green box?
PLEASE HELP IF POSSIBLE :)
Answer:
JM = 20
Step-by-step explanation:
Find the value of JM
Using similar triangles;
MJ/HN = GJ/HK
GJ+JM/HN = GJ/HK
15+JM/12+16 = 15/12
15+JM/28 = 15/12
Cross multiply
12(15+JM) = 15*28
180+12JM = 420
12JM = 420 - 180
12JM = 240
JM = 240/12
JM = 20
Hence the length of JM is 20
The area of a rectangular parking lot is 8051 m ^2 . If the length of the parking lot is 97 m, what is its width?
Answer:
Width of rectangle = 83 meter
Step-by-step explanation:
Given:
Area of rectangle = 8,051 m²
Length of rectangle = 97 m
Find:
Width of rectangle
Computation:
Area of rectangle = Length of rectangle x Width of rectangle
97 x Width of rectangle = 8,051
Width of rectangle = 8,051 / 97
Width of rectangle = 83 meter
A researcher begins an experiment with 50 bacteria. She notices each bacterium triples every hour. Which equation best represents this scenario?
A. y=3(50)x
B. y=3x+50
C. y=50(3)x
D. y=3x+50
Answer:
A. y=3(50)x
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
268.083
Step-by-step explanation:
volume of a sphere = 4/3 times pi times r^3. 4/3(pi)(4^3) = 268.083
A hollow ball is made of rubber that is 2 centimeter thick. The ball has a diameter of 20 centimeters at the outside surface.
What is the exact volume of rubber used to make the ball?
Please explain how to find the volume and i will mark brainliest
Answer:
628.57CM²
Step-by-step explanation:
20/2=10
VOLUME OF CYLINDER=PIR^2H
22/7*10*10*2=628.57
PLEASE HELP
A number b increased by 4 is greater than or equal to 15.
Answer:
b ≥ 11
Step-by-step explanation:
b + 4 ≥ 15
b ≥ 15 - 4
b ≥ 11
If a sporting goods store has 40 basketballs, 39 baseballs, 24 footballs, 51 hockey pucks, and 16 lacrosse sticks.
Write the following ratio in simplest form.
Lacrosse Sticks to Basketballs
Answer:
40/16
2/5
Thus the ratio
= 2:5
Find the value of x. Round to the nearest tenth. 9 4 x = [?]
Answer:
26.4° (nearest tenth)
Step-by-step explanation:
[tex]\boxed{sinθ = \frac{opp}{hyp} }[/tex]
[tex]sinx = \frac{4}{9} [/tex]
Taking the inverse of sine on both sides:
[tex]x = sin^{ - 1} ( \frac{4}{9} )[/tex]
x= 26.4° (nearest tenth)
PLLLZZ HHEELLPPP! QUESTION IS BELOW!
Answer:
32°Step-by-step explanation:
The two given angles are complementary, it means they add to 90°Find x:
2x + 10 + x + 8 = 903x + 18 = 903x = 72x = 24Find Y:
m∠Y = x + 8 = 24 + 8 = 32°a pilot is flying an airplane at an elevation of 17,500 feet. she is increasing her elevation at a rate of 2,500 feet per minute. which number line shows the solution set for the number of minutes the pilot could increase her elevation and be above 25,000 feet?
Answer:
y= *greater than or equal to sign* 2500x+17500
The answer is: A
Step-by-step explanation:
Hope this help :)
Answer:
It's C
Step-by-step explanation:
I put in A for my exam but it said it was incorrect and it said the answer was C :')
y = 100 - 8.9x percent
Write down the x-coordinate of the point where y=x2-x and y=x+1 cross
What is the radius of 18 circle?
Anyone help please god lord please
here are the answers:
#1
#2=11
#3=-2
#4=70
a local taxi company charges a base fare of $3.20. the taxi company charges $0.40 for every minute the taxi is in service
Answer: The equation would be x = 3.20 + 40m where m represents the minutes of service and x is the total cost.
Step-by-step explanation:
The area of the parallelogram below is ____ square meters.
Answer:
63
Step-by-step explanation:
9 * 7 = 63
Factor 18r+15s escribe tu respuesta como un producto con un número entero >1?
What is the solution for -4x - 10 ≤ 2?
Answer:
x>=-3
Step-by-step explanation:
-4x-10<=2
-4x<=2+10
-4x<=12
x<=12/-4
x<=-3
x>=-3
Determine if the expression -z^3 + 8x is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial. (Someone help me )
Answer No because it does not have a coefficient
Step-by-step explanation:
At a zoological garden, 3 people ride the tram for every 4 people who don't ride it. Write the ratio of people who ride the tram to all people in three ways. Write the ratio of all people to people who don't ride the tram in three ways. Write the ratio of people who ride the tram to all people in three ways.
Answer:
= 3 to 7
= 3 : 7
= 3/7
Step-by-step explanation:
Number of people who ride the tram = 3
Number of people who does not ride the tram = 4
Total people = 3 + 4 = 7
Ratio of people who ride the tram to all people in three ways.
= 3 to 7
= 3 : 7
= 3/7
Ratio of all people to people who don't ride the tram in three ways.
= 7 to 4
= 7 : 4
= 7/4
Ratio of people who ride the tram to all people in three ways.
= 3 to 7
= 3 : 7
= 3/7
The determinant of the matrix
Answer:57
Step-by-step explanation:
(7 x 9) - (-3 x -2) = 57
Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they worked together.
Answer:
It would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together
Step-by-step explanation:
Use the algebra work formula, [tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex], where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.
Plug in 10 and 11:
[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex]
[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{10}[/tex] + [tex]\frac{1}{11}[/tex]
Find the common denominator, then add the fractions together:
[tex]\frac{1}{tb}[/tex] = [tex]\frac{11}{110}[/tex] + [tex]\frac{10}{110}[/tex]
[tex]\frac{1}{tb}[/tex] = [tex]\frac{21}{110}[/tex]
Cross multiply and solve for tb:
110 = 21tb
5.24 = tb
So, it would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together
Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x
Answer:
x = -3.
Step-by-step explanation:
2^x = 0.125
Taking logs:
x ln 2 = ln 0.125
x = ln 0.125 / ln 2
x = -3