Using trigonometry, Claire is approximately 19.42 feet away from Marisa, given their angles of elevation and the hoop's height.
Using trigonometry, we can find the distance between Claire and Marisa:
[tex]\[ \text{Let } h \text{ be the height of the basketball hoop.} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire}} = \frac{h}{\tan(35°)} \][/tex]
[tex]\[ \text{Distance}_{\text{Marisa}} = \frac{h}{\tan(25°)} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = \text{Distance}_{\text{Claire}} - \text{Distance}_{\text{Marisa}} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = \frac{h}{\tan(35°)} - \frac{h}{\tan(25°)} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = h \times \left( \frac{1}{\tan(35°)} - \frac{1}{\tan(25°)} \right) \][/tex]
Given [tex]\( h = 10 \)[/tex] feet:
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = 10 \times \left( \frac{1}{\tan(35°)} - \frac{1}{\tan(25°)} \right) \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} \approx 19.42 \text{ feet} \][/tex]
So, Claire and Marisa are standing approximately 19.42 feet apart.
1. Susan’s art class is 9 hours long. How long is her class in minutes?
2. Frank drinks 1 1/2 pints of milk a day. How much is this in cups? Write your answer as a whole number or a mixed number or a mixed number in simplest form.
3. A cook needs 4 cups of vegetable broth for a soup recipe. How much is this in pints.
4. Last month, a coral reef grew 9000 millimeters taller. How much did it grow in meters?
Susan's art class is 540 minutes long. Frank drinks 3 cups of milk a day. The cook needs 2 pints of vegetable broth for their recipe. The coral reef grew 9 meters taller.
To solve these measurement conversion problems, we'll work through each one step by step:
Susan's art class is 9 hours long. Since there are 60 minutes in an hour, her class is 9 hours × 60 minutes/hour = 540 minutes long.To convert Frank's milk consumption from pints to cups, we use the fact that 1 pint is equal to 2 cups. So, 1 ¹/₂ pints is the same as 1.5 × 2 cups, which equals 3 cups.When converting the 4 cups of vegetable broth to pints, we remember that 2 cups is equivalent to 1 pint. Therefore, 4 cups is equal to 2 pints.The coral reef grew by 9000 millimeters. To find this growth in meters, we use the conversion that 1000 millimeters is equal to 1 meter. Therefore, it grew by 9000 mm × (1 m / 1000 mm) = 9 meters.How do you do this simultaneous equation?
Big Reward! (Answer the right answer not just comment).
2(5x-4)=ax+b
Find a value for a and b so that the solution is
A. Has one solution
B. Has no solutions.
C. Infinite Solutions
Answer:
A. a = 0, b = 2
B. a = 10, b = 0
C. a = 10, b = -8
Step-by-step explanation:
2(5x-4)=ax+b
10x - 8 = ax + b
When a = 10, b = -8
This equation becomes true for all x. Hence infinite solutions.
When a = 10, b is not -8,
This equation has no solution.
One possible combination could be:
a = 10, b = 0
When a is not 10,
The two sides of the equation become two non parallel lines which will intersect at one point.
A combination could be:
a = 0, b = 2
the length of a rectangle is 8 feet more than its width the area of the rectangle is 84 square feet find its length and width.
Answer:
breath = 6ft
length = 14ft
Step-by-step explanation:
Area of a rectangle = length x breath
Area = 84ft²
Since length is 8feet more than breath.
Let assume a breath is y.
i.e
breath = y
length = y + 8
Area = 84
84 = y * (y+8)
84 = y² + 8y
y² + 8y - 84 = 0
quadratic equation
y ( y - 6 ) + 14 ( y - 6 )
(y + 14 )( y - 6 )
So to find y
y + 14 = 0
y = -14
Or
y - 6 = 0
y = 6
We will you the positive value of y, because we can not have a negative value for measurements ( length or breath)
Therefore
breath = y
breath = 6ft
length = y + 8
length = 6 + 8 = 14ft
how many decimal places are in the product of 185.9 and 0.35?? with diagram or work
7x+39≥53 AND 16x+15>31
Answer: x \> 2
Just look in the photo
A fabric store sells two types of ribbon. One customer buys 3 rolls of the satin ribbon and had a total of 120 yards of ribbon. Another customer buys 2 rolls of lace ribbon and 4 rolls of the satin ribbon and has a total of 160 yards of ribbon. How many yards are on one rolls and one roll of satin ribbon?
Answer:
d.there are 20 yards on one roll of lace ribbon and 30 yards on a roll of satin
Step-by-step explanation:
This circle graph shows the results of a survey that asked people to identify their favorite type of music.
What percent of people chose rock or country as their favorite type of music?
9%
35%
45%
55%
How can you use the distributive property to find the product of 5 and 6723?
A class voted for either rollerblading, swimming, or biking as their favorite summer activity. If rollerblading got 4% percent of the vote and biking got 34% what percentage of the class voted for swimming?
The variability at each feeder is 3.168. The difference between the median number of hummingbirds spotted per day at each feeder is approximately how many times the variability? a.4 b.5 c.2 d.2
Answer:
no its 3
Step-by-step explanation:
I need to know the surface area of this shape
One jug of plant food treats an area of 135 square ft. How many jugs Would be needed to treat an area of 165 square yards (try writing equation)
To treat an area of 165 square yards, you would need 11 jugs of plant food.
Explanation:To find out how many jugs would be needed to treat an area of 165 square yards, we need to convert the area to square feet and then divide by the area treated by one jug of plant food.
1 square yard = 9 square feet, so 165 square yards = 165 × 9 = 1485 square feet.
Now, since one jug treats an area of 135 square feet, the number of jugs needed is 1485 ÷ 135 = 11 jugs.
Learn more about Calculating Quantity here:https://brainly.com/question/32195961
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what is the equation to (-3,1) and (0,-8)
If a cube shaped box has a volume of 1331 cubic inches how tall is the box.
Answer: Cube is 11 inches tall
Explanation:
Cube has all edges the same length . The volume of a cube is multiplying the length of any edge, height and width of the cube.
Volume of cube = length * width * height
We know that length = width = height = s
So, Volume of cube = s*s*s
= s³
In given question:
Volume of the cube = 1331 cu in.
s³ = 1331
take cube root both the side
s = ∛1331
s = ∛(11*11*11)
s = 11 inch
So, height of the cube = 11 inches
Please help! The choices for the first box is right/left, right, or left. The choices for the second box is up/down, up, or down..
What is the value of fraction 1 over 3x2 + 5.2y when x = 3 and y = 2?
Determine the circumference of a circle with a radius of 4 units.
16 units
8 units
32 units
4 units
Final answer:
The circumference of a circle with a radius of 4 units can be calculated using the formula C = 2πr, which equals approximately 25.13 units when using π as 3.14159.
Explanation:
To determine the circumference of a circle with a radius of 4 units, we need to use the circumference formula:
C = 2πr
Where C represents the circumference, π (pi) is approximately 3.14159, and r is the radius of the circle.
π is a special mathematical constant that represents the ratio of the circumference of any circle to its diameter, and for most practical calculations, it can be approximated as 3.14. Therefore, plugging the radius (4 units) into the formula we get:
C = 2 x 3.14159 x 4
C = 8 x 3.14159
C = 25.13272 units
We can round this answer to two decimal places for simplicity, obtaining:
C = 25.13 units
So, the circumference of a circle with a radius of 4 units is approximately 25.13 units.
The circumference of a circle with a radius of 4 units is approximately 25.12 units.
Explanation:The circumference of a circle can be found using the formula C = 2πr, where C is the circumference and r is the radius. In this case, the radius is given as 4 units, so we can substitute that value into the formula to find the circumference.
C = 2π(4) = 8π units.
Since π is approximately 3.14, we can approximate the circumference as:
C ≈ 8 x 3.14 = 25.12 units.
Therefore, the circumference of the circle with a radius of 4 units is approximately 25.12 units.
Miguel is driving his motor boat across the river. The speed of the boat in Still water is 14 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boats resultant speed and direction? Diagram is not drawn to scale.
Graph the systems of equations:
2x+y=5
14x+7y=35
What is x?
What is y?
PLEASE I NEED HELP!
Answer:
The question is wrong if you're looking to find x and y as they would cancel themselves being factors of each other
Step-by-step explanation:
The lines are co-incident so all the points on the graph are equal but the graph would look like this
Select all of the angles that have the same measure as angle 1. Assume the lines are parallel.
use the distributive property to rewrite 30d+18
unit price—- a long distance phone charge of $1.40 for 10 minutes, or $4.50 for 45 minutes —- show work^
To find the best long-distance phone charge, the unit prices for both options are calculated. The $1.40 charge for 10 minutes has a unit price of $0.14 per minute, while the $4.50 charge for 45 minutes is $0.10 per minute. Hence, the $4.50 option is better.
Explanation:To determine the better long-distance phone charge, we can calculate the unit price for each option by dividing the total cost by the number of minutes.
For the $1.40 charge for 10 minutes:Comparing the two unit prices, the charge of $0.10 per minute for 45 minutes is the better option since the cost per minute is lower.
Please help me!!!!!!!!!!!!!!!!
What is the constant of proportionality?
What would the equation look like?
a recipe calls for 4 tsp of baking soda and 1 fl. oz. of vanilla. Which measurement is greater? Explain.
Please help with this roblem
The table shows the fraction of a book karen read saturday and sunday.What fraction of her book did she read on these two days?
Gracie has 1/2 of a cantaloupe that she wants to divide. How many 1/12’s of a cantaloupe are there in 1/2 of a cantaloupe?
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