The minute hand of a clock in a clock tower has a length of 36 inches.
If a butterfly landed on the extreme tip of the minute hand at exactly 12:00 noon and rode the minute hand until 12:45 p.m., how far did the butterfly ride along the arc traced by the minute hand? Round your answer to the nearest foot.
Answer:
45 degrees
Step-by-step explanation:
Butterfly will ride along the arc traced by the minute hand = 14 feet
Perimeter of a sector: Perimeter of a sector of a circle is given by the expression,
[tex]P=\frac{\theta}{360^\circ}(2\pi r)[/tex]
Here, θ = Angle formed at the center of the circle by the arc of
a sector
r = Radius of the circle
Since, minute hand of a clock forms an angle measuring 270° at the center to cover from 12:00 noon to 12:45 p.m.
Length of the minute hand = 36 inches
Perimeter of the arc = [tex]\frac{270}{360}(2\pi)(36)[/tex]
= 169.646 inches
Since, 1 inch = [tex]\frac{1}{12}[/tex] foot
169.646 inches = 14.137 ft.
≈ 14 ft.
Therefore, butterfly will ride 14 feet along the arc traced by minute hand.
Learn more about the perimeter of an arc here,
https://brainly.com/question/1582130?referrer=searchResults
what is the scale factor
Answer:
2/5
Step-by-step explanation:
Since it's from a big square to a smaller square, the smaller number will be at the top. Also, use the same side to find the scale factor, but since this is a square and all sides of a square are equal, it doesn't matter but in other shapes it does so practice i guess:
Left side of big square: 5
Left side of small square: 2
So scale is 2/5
To confirm:
5 · 2/5 = 10/5 = 2, we're right
Katie has a savings account that contains $230. She decides to deposit $5 each month from her monthly earnings for babysitting after school. Write an expression to find how much money Katie will have in her savings account after x months. Let x represent the number of months.
Given:
Initial savings in Katie's account = $230
Additional savings = $5 per month
To find:
The expression that represents the money Katie will have in her savings account after x months.
Solution:
Let x be the number of months.
Additional savings for 1 month = $5
Additional savings for x months = $5x
Now,
Total savings = Initial saving + additional savings for x months.
[tex]\text{Total savings}=230+5x[/tex]
Therefore, the required expression is [tex]230+5x[/tex].
Help and I’ll give brainliest
Answer:
They purchased 11 Packets
Step-by-step explanation:
C=11p + 30
Rebecca buys a shirt for $38.
She finds out the shirt is 25% off
and there is 8% sales tax. If
Rebecca has $40, how much change
will she receive?
Answer:
$8.46
Step-by-step explanation:
This is assuming that the sales tax is applied on the pre discounted item.
Help me in math please
Answer:
what do you need help on? :))
Step-by-step explanation:
Which coordinate plane contains the points ( 2,3.5) and (-0.5,4) ? Ill give brainliest
Answer:
D
Step-by-step explanation:
Answer:
D is the only one that has either of those points. so the correct answer is D
WILL GIVE BRAINLIEST PLS HELP !!
Answer:
circle
Step-by-step explanation:
my mans on kahoot!!!!
How much interest is earned in two years in a investment of 2,000 and the interest rate is 3%
Answer: $1,140
Step-by-step explanation:
2000 x .03 = 60
60 x 24 months = $1,140
Hurry please
a rectangle is 6 times as long as it is wide. the perimeter is 140 cm. find the area of the rectangle. round to the nearest tenth if necessary.
Answer: [tex]w = 10[/tex]
Step-by-step explanation:
Our perimeter will be 140 cm and our width of the rectangle will be 6w. We will then divide 14w and 140 by 14 so we can get w by itself. Then, we will divide the perimeter by the width.
Step 1: Let 6w will be our length and let the perimeter be 140 cm.
[tex]6w, P = 140 cm[/tex]
Step 2: Perimeter means that you add up all the 4 sides of the rectangle.
[tex]P = 140 = w + w + 6w + 6w = 14w[/tex]
[tex]P = 140, 14w[/tex]
Step 3: Divide both sides 14 to get the single w variable.
[tex]\frac{140}{14} = \frac{14w}{14}[/tex]
Step 4: Simplify.
[tex]10 = w[/tex]
Step 5: Flip sides.
[tex]w = 10[/tex]
~I hope I helped you :)~
in order for students to have a club at school they need a minimum of 22 students. If there are 17 students signed up for the club, how many more students does the club need
Answer: 5 more students need to sign up.
A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance,
x, from the starting location?
O 135.99 mi
O 149.32 mi
O 172.93 mi
O 183.60 mi
For your question:
"A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance,
x, from the starting location?"
Please see above for answer.
Let me know if you have any further questions.
The distance, x, from the starting location will be 183.6 miles.
What is distance?Distance is a numerical representation of the distance between two objects or locations.
Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Let the ship start at point O and proceed for 60 miles in the 34 °S direction to point P. Then, after 150 kilometers Q.
From the obtained value, the angle P can be obtained;
∠P=180°-(45°+20°)
∠P=115°
From triangle,
OP=60 cm
PQ=150
∠P=115°
OQ=x
OQ²=OP²+PQ₂-2OP.PQ.COS∠P
x²=60²+150²-2(60)(150)COS(115°)
x²=3600+22500+7606.8
x²=33,706.8
x=√(33,706.8)
x=183.59
x=183.6 miles
Hence,the distance, x, from the starting location will be 183.6 miles.
To learn more about the distance, refer to the link;
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#SPJ2
-2 (3.1) find the product
Answer:
-6.2
Step-by-step explanation:
just because.
Polina the Polar Bear sat on an ice floe in the Arctic Ocean, north of Alaska. Polina was waiting for her mother, Bearnice, to return hwith some tasty seal blubber for lunch. Bearnice was hunting, waiting for seals to come up for air through holes in the ice, the same way Polar Bears have hunted in the winter for centuries. Except this year there was one big difference.
A lot more of the ice had melted last summer, and this winter it hadn’t refrozen as usual. A combination of warmer weather and changes in water and air currents was making the ocean warmer than anyone could remember, and Bearnice had to swim farther every day to find a good hunting spot.
As Polina waited for her mother to bring food back to her floe, the ice shrank bit by bit until she was sitting on very thin ice. As Polina waited helplessly, the furry white cub heard a deep voice coming from the direction of the sea.
“Hellooo little bear,” it said. Polina had never heard such a deep voice. She lifted her tired head to look out over the water, and was surprised that the voice seemed to come from a dark ice floe just offshore.
"No, wait!" It had a huge eyeball that was looking directly at her. It wasn’t an ice floe — it was the largest whale Polina had ever seen. It was also the first whale that had ever spoken to her.
“They call me Farswimmer,”said the whale, “because I travel all over the world, having adventures and learning new things. What brings you here alone, Polar Bear?” Farswimmer was very old, and he had seen many changes in his years of exploring the oceans. He certainly knew more about the world than most polar bears.
Farswimmer seemed like a nice whale, but Polina remembered Bearnice, her mother, and how she hadn’t come back from hunting.
Farswimmer blew a tall spout to distract Polina and stop her from crying.
When Polina told the whale her own story, he said, “I’m headed north anyway. You could ride on my back, and we can look for your mother. Are you ready for an adventure?” The next morning, Farswimmer and Polina charted their course and took off. Polina rode Farswimmer’s back and sometimes floated behind him, holding his tail. She also stood on his back and pretended she was surfing. It was a blast.
They took a break on an ice floe. Soon, they saw something in the distance that looked like another ice floe, but just to be sure, Farswimmer left Polina on the ice and swam to the floating object.
It wasn’t an object. It was an animal. Farswimmer used his fat nose to push the animal to Polina’s icy raft. When they got closer, Polina saw a familiar face.
“Mommy,” she yelped. Bearnice was very tired, but the sound of her cub’s voice made her happy. She opened her arms and the two embraced each other in a big bear hug.
Read the passage on the left to answer the following questions:
1)
What is the main conflict in this story?
A) Farswimmer cannot find Polina's mother.
B) Polina's mother is unable to find any seals to feed Polina.
C) Bearnice decides that she wants to let her daughter live alone.
D) The ice is melting around Polina, and her mother hasn't returned.
2)
Which statement best describes the relationship Polina the Polar Bear and the whale Farswimmer?
A) Polina is angry at Farswimmer for being so large and scary.
B) Farswimmer has no interest in helping Polina find her mother.
C) The whale Farswimmer is kind and helpful to frightened Polina.
D) Polina is in love with Farswimmer the whale and wants to run away with her.
3)
How is Farswimmer characterized in this story?
A) as an unhappy and mean whale
B) as a kind and wise old whale
C) as an indifferent, cruel creature
D) as a simple-minded, innocent creature
4)
Which BEST describes the characters in this story?
A) Farswimmer is old and Polina is young. They can both talk.
B) Farswimmer and Beatrice are both old. They can both talk.
C) Farswimmer and Polina are both young and can both talk.
D) All three are young and can talk.
5)
What is the setting of this story?
A) a warm Mediterranean sea
B) the endless ice of Antarctica
C) an Eskimo village in the snow
would somebody be nice enough to help me?
Answer:
25$ each
Step-by-step explanation:
Answer:$23.98
Step-by-step explanation:
Hello everyone, I'm feeling a bit generous today so here yall go.
2x2=
4x4x4=
2+5=
(14 points will be given.)
First one to solve all three gets 5 star rating, heart, brainliest.
Second to solve all three gets a 5 star rating, heart, and well points for answering ofc just as the first.
Answer:
4
64
7
Hope I helped
Answer:
2x2=4
4x4x4=64
2+5=7
Step-by-step explanation:
HAPPY HOLIDAYS :)
3) Write an equation of a
line that has a slope of -3
and goes throughh
the
point (-4, 6)
m = -3
point = (-4,6)
You need to put this in point slope form.
y - 6 = - 3( x + 4 )
distribute
y - 6 = -3x - 12
add 6 to 12
y = -3x - 6
answer : y=-3x-6
Shaun is playing a game in which he receives 2 points for every correct answer and -5 points for every incorrect answer . After 4 questions shauns score is 1 if he answer the next question incorrectly what will shauns score be ? I need really bad help
Answer:
-4 :)
Step-by-step explanation:
what are three types of transformations of linear functions?
PLEASE HELP
Answer:
Translation, refelction, stretch/compression. :D
Step-by-step explanation:
You are going to make cookies for a party. The recipe requires 3 cups of flour, 2 cups of chocolate chips and other ingredients. I also need to write an equivalent ratio that shows how much you need to double the original recipe, can someone help?
Answer:
Ratio of flour to chocolate = 6 : 4
= 3 : 2
Step-by-step explanation:
Original recipe
Flour = 3 cups
Chocolate = 2 cups
Ratio of flour to chocolate = 3 : 2
To double the original recipe
Flour = 3 cups × 2
Chocolate = 2 cups × 2
Flour = 6 cups
Chocolate = 4 cups
Ratio of flour to chocolate = 6 : 4
= 3 : 2
Which function is best represented by the graph?
Answer:
J
Step-by-step explanation:
First look at the y-intercept. When y=0, you get 8 on the graph, so in the equation it has to give you 8 as well.
This narrows it down to F G J
Next, the slope of the graph is negative because its tilting downwards.
This narrows it down to G J
Finally, on the graph when y=0, you get 6, so the equation has to meet this too
With your choices narrowed down to G and J, calculate the x-intercepts.
0= -4/3x+8
-8= -4/3x
-8(-3/4)=x
x=6
Answer:
The answer is J
Step-by-step explanation:
the y-intercept is 8 and to find the slope you count rise over run, well the graph is too small to tell what points are actually on the lines, but it's given that (0,8) and (6,0) are points. making the rise/run= to 8/6 and then simplify to 4/3. and you can tell that the slope is negative because it's going downward from left to right.
Factor the following expression completely 16x^2-49
Answer:
(4x+7)(4x-7)
Step-by-step explanation:
Tareq pays $22.10 for 2.6 pounds of salmon. What is the price per pound of the salmon?
Answer: $8.50/pound
Step-by-step explanation:
Price per pound --> take the total price and divide it by the number of pounds
$22.10 / 2.6 pounds = $8.50/pound
Answer:
$8.50
Step-by-step explanation:
take 22.10 divide it by 2.6 and you will get your answer.
Hope this helps
Find the final price of the item.
CD player: $87.95
discount: 35%
tax: 5.75%
Answer:
$60.47
Step-by-step explanation:
not sure. I'm not too familiar with this math, so I kinda winged it, hope this helps
A regular pentagon has what type of
symmetry?
Answer:
5 sides
Step-by-step explanation:
5
Line symmetry in regular polygons
A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.
Answer:
line symmetry only
Step-by-step explanation:
QUESTION Lin’s father is paying for a $20 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied.
how much does lin father pay for the meal
Answer:
18.19
Step-by-step explanation:
First we must determine how much 15% of 20 is (3). Now we must subtract that from 20 (20-3=17$) Once we have that we must figure out how much 7% of 17 is ($1.19) Lastly, we must add the tax to 17.00 (17+1.19) to get 18.19.
if a=1 b=2 c=3 find the value of 4a3b2
Answer:
14
Step-by-step explanation:
a4=4
3b=2 x 3=6
2c=2 x 3=6
Answer:
48
Step-by-step explanation:
We just need to put in the values of a and b.
4a3b² = 4(1) × 3(2)²
= 4 × 3(4)
= 4 × 12
= 48
Which expression is equivalent to (x⁶y⁸)³/x²y²
The equivalent expression is [tex]x^{16}y^{22}[/tex]
also please explain
m=?
b=?
equation=?
Answer:
Decimal form: y = -3x + 1
Exact form: y = -3x + 1
m (slope)= -3
b= 1
A recipe needs two and one sixth cups of walnuts and eight and one eighth cups of peanuts. How many cups of 14 or 48 as the domenater nuts are needed for the recipe in all? Please answer!!! It has to have 14 or 48 as the domentater
Answer:
[tex]10\frac{14}{48}[/tex]
Step-by-step explanation:
given data:
recipe = two and one sixth cups of walnuts [tex]2\frac{1}{6}[/tex]
and eight and one eighth cups of peanuts [tex]8\frac{1}{8}[/tex]
solution:
[tex]= 2\frac{1}{6} + 8\frac{1}{8}\\\\= 10 (\frac{1}{6} + \frac{1}{8} )\\[/tex]
[tex]= 10\frac{7}{24}\\or\\= 10\frac{14}{48}[/tex]