Answer:
(a) 55 (b) 80 and 60 (c) 45 and 10
Step-by-step explanation:
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A cathedral has a large,circular stained glass window. A visitor measures the window and calculates that it has a circumference of 12.56 yards. What is the windows area
The area of the stained glass window is approximately 12.56 square yards. We obtained this by first calculating the radius (2 yards) using the given circumference, then substituting the radius into the formula for the area (πr²).
Explanation:The area of a circle can be found using the formula A = πr². where A represents the area, r is the radius, and π is a mathematical constant approximately equal to 3.14. First, we should find the radius of the window. The circumference of a circle is given by the formula C = 2πr. If the circumference is known to be 12.56 yards, we can solve for the radius as follows:
Setting the two formulas equal to each other, we get 12.56 = 2πrDividing both sides by 2π, we get r = 12.56/2π = 2 yards.Next, we substitute the radius into the area formula: A = π(2)² = 4π = 12.56 square yards.
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a boy flies a kite with 100 foot long string. the angle of elevation of the string is 48. how high is the kite from the ground.
The height of the kite from the ground is approximately 74.2 feet, calculated using the trigonometric concept of sine. Sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
Explanation:The subject of the question is the height of a kite, a topic in Trigonometry.Trigonometry deals with the relationships between the sides and angles of triangles. In this case, we're given that a boy is flying a kite with a 100 foot string at an angle of 48 degrees. We can use the concept of sine in Trigonometry, where sine of an angle in a right triangle is the length of the opposite side divided by the length of the hypotenuse.
In this case, the height of the kite from the ground forms the opposite side, the 100 foot string forms the hypotenuse, and the angle of elevation given is 48 degrees. We have the equation:
sin(48) = height / 100
Therefore, the height = sin(48) * 100.
Using a calculator to find the sine of 48 degrees, and then multiplying the result by 100, we get the height of the kite from the ground to be approximately 74.2 feet.
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Find point B on the graph. In which quadrant does the point lie
sketch the graph of y=x²+4x-5
Please help with these I need to pass
What would be the total cost of Annabel renting the surfboard for 6 hours
Answer:
its 54
Step-by-step explanation:
The celski's wants to drive the 288 miles to a campground in 6 hours. what should their average speed be in miles per hour
A basketball has a circumference of 29.5 inches. Using 3.14 what is the basketballs volume to the nearest cubic inch?
The equivalent of 6/11 is a repeating decimal.How many digits are in the repeating decimal?
What simplified ratio correctly compares 10,000 centimeters to 1000 meters? Drag and drop the appropriate numbers into the boxes
For this case, the first thing we must do is to have the same units for both measures.
We have then that by definition:
[tex]1m = 100cm[/tex]
Therefore we have:
[tex]10,000cm * (\frac {1m} {100cm}) = 100m[/tex]
Then, we look for the relationship between both measures:
[tex](\frac {100m} {1000m})[/tex]
Simplifying we have:
[tex](\frac {1m} {10m})[/tex]
Answer:
The simplified ratio that correctly compares 10,000 centimeters to 1000 meters is:
[tex](\frac {1m} {10m})[/tex]
A bicycle manufacturer is reducing the number of spokes on each bicycle wheel by 4. A wheel on one of the company's new cross-country bikes has 32 spokes. Which equations could be used to determine the number of spokes s that a wheel on a cross-country bike used to have? A. S + 32 = 4 B. S + 4 = 32 C. S - 32 = 4 D. S - 4 = 32
Jade buys a blouse and a skirt for 34 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Enter your answer in the box.
Assessment items On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° . What is AC ?
A) 3 cm
B) 6 cm
C) 9 cm
D) 12 cm
1.7w< 6.8
What is the value of w that makes this inequality true?
Show work and be clear!
Jason has two bags with 6 tiles each. The tiles in each bag are shown below: Make 6 squares. The squares are numbered sequentially from 1 to 6. Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag?
The answer would be 1/12 or 2/12 im not sure.
The correct answer is [tex]\frac{1}{36}[/tex]
To solve this problem, we need to find the probability of drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag.
Given:
- Bag 1 contains tiles numbered 1, 2, 3, 4, 5, 6.
- Bag 2 contains tiles numbered 1, 2, 3, 4, 5, 6.
- The desired outcome is drawing tile 2 from Bag 1 and tile 3 from Bag
Step 1: Find the total number of possible outcomes.
Total number of outcomes = Number of tiles in Bag 1 × Number of tiles in Bag 2
Total number of outcomes = 6 × 6 = 36
Step 2: Find the number of favorable outcomes.
Number of favorable outcomes = 1 (drawing tile 2 from Bag 1 and tile 3 from Bag 2)
Step 3: Calculate the probability of the desired outcome.
Probability = Number of favorable outcomes / Total number of outcomes
Probability =[tex]\frac{1}{36}[/tex]
five criterion team bikes cost $ 11,300. How much would the club have to pay for a dozen criterion team bikes?
The cost for one Criterion team bike is $2,260, calculated by dividing $11,300 by 5. Therefore, for a dozen bikes, which amounts to 12, the club would have to pay a total of $27,120.
The question involves a simple ratio or unit price problem and can be solved using basic multiplication. If five Criterion team bikes cost $11,300, to find the cost of one bike, divide the total cost by the number of bikes: $11,300 / 5 = $2,260 per bike. Then, to find the cost for a dozen (12) bikes, multiply the cost of one bike by 12: $2,260 x 12 = $27,120. Therefore, the club would have to pay $27,120 for a dozen Criterion team bikes.
v(j+y)=61y+82
please solve!!!!
need help
Solve this please???????
PLZ HELP ITS A MORE THAN ONE ANSWER A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation?
A.Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.
B.Pick a card from a deck of standard playing cards four times, with red suits representing those who prefer watching a movie at a theater and black suits representing those who do not.
C.Spin a spinner with four equal sections three times, with one section representing each person.
D.Roll a six-sided die four times, with even numbers representing those who prefer watching a movie at a theater and odd numbers representing those who do not.
E.Generate a set of four numbers using a number generator, with numbers 0 to 5 representing those who prefer watching a movie at a theater and 6 to 9 representing those who do not.
PLZ PICK THE RIGHT ONE AND ITS A MORE THAN ONE ANSWER
Please answer! Show your work or give an explanation! Thank you!
Solve the equation and show all work please show steps!!
2n-3=9
Light travels at a speed of about 186,000 miles per second. How far does light travel in 5 seconds? Use repeated addition to solve.
Final answer:
Light travels at a speed of 186,000 miles per second. Using repeated addition, we find that in 5 seconds, light travels a total of 930,000 miles.
Explanation:
To calculate how far light travels in 5 seconds, we can use repeated addition. Light travels at a speed of about 186,000 miles per second. If we add this number for each second, five times, we can find the total distance light travels in 5 seconds.
Let's perform the repeated addition:
After 1 second, light has traveled 186,000 miles.
After 2 seconds, light has traveled 186,000 miles + 186,000 miles = 372,000 miles.
After 3 seconds, light has traveled 372,000 miles + 186,000 miles = 558,000 miles.
After 4 seconds, light has traveled 558,000 miles + 186,000 miles = 744,000 miles.
After 5 seconds, light has traveled 744,000 miles + 186,000 miles = 930,000 miles.
Therefore, light travels 930,000 miles in 5 seconds.
Which equation best represents a trend line for the scatter plot? These are fractions BTW.
y=−7/6x+55/6
y=−6/7x+62/7
y=7/6x+41/6
y=6/7x+50/7
The equation that best represents a trend line for the scatter plot is y=−7/6 x+55/6
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.
We are given the points (1, 8) and (7,1) on the scatter plot.
Therefore, the slope = (8-1)/(1-7) = -7/6
Now, the equation of line;
y = mx + b
b = y - mx
b = 8 - (-7/6)(1)
b = 8 + 7/6
b = 55/6
The equation becomes;
y = -7/6(x) + 55/6
The answer is y=−7/6 x+55/6
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9/3 write the fraction as a whole number
rewrite using scientific notation 0.058
I think it’s b but I’m not sure... please show work I need help ASAP
What is the greatest common factor of 15 and 45? Explain your answer.
a taxi service charges an initial fee plus $1.80 per mile. how far can you travel for $12
To travel for $12 in a taxi service with an initial fee plus $1.80 per mile, you can travel up to 3 miles.
Explanation:To determine how far you can travel for $12, you need to consider the initial fee charged by the taxi service and the cost per mile. Let's assume the initial fee is $5. Therefore, you have $12 - $5 = $7 left to spend on miles. Since the cost per mile is $1.80, you can travel $7/$1.80 = 3.89 miles. However, since you cannot travel a fraction of a mile, you can travel up to 3 miles for $12.
Last two Pleaseeeeee
about how many suvs were sold in 2009