Answer:
55.4
Step-by-step explanation:
Think of it as a right angled triangle, the length of the ladder (17ft) is the hypotenuse, the length of the ground (14ft) is the rise, we then use sin to get the angle as the angle of elevation is the angle between the ladder and the ground hence sin^-1 (14/17) and you get your angle.
Use the line of best fit to estimate the French score for a student who got 65 in maths.
Using a linear function, it is found that the estimated French score is of 38.1875.
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope.b is the y-intercept.Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).
The slope is given by change in the output divided by the change in the input, hence:
[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]
Then:
[tex]y = -0.4875x + b[/tex]
Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.
[tex]y = -0.4875x + b[/tex]
[tex]65 = -0.4875(10) + b[/tex]
[tex]b = 69.875[/tex]
Hence:
[tex]y = -0.4875x + 69.875[/tex]
For a student who got 65 in math, x = 65, and hence:
[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]
The estimated French score is of 38.1875.
For more on linear functions, you can check https://brainly.com/question/16302622
The first and second terms of an arithmetic sequence are 50 and 100, respectively.
The first and second terms of a geometric sequence are also 50 and 100,
respectively. The sum of the third terms of these two sequences is???
Not drawn
to scale
(x - 2)cm
D
The diagram shows two joined rectangles.
The total area of the compound shape
ABCDEF is 36 cm
2x cm
c
By considering the areas of the two rectangles,
show that 2x2 - 5x - 18 = 0 and hence find B
the value of length AB.
x cm
A
+
(x - 4)cm
Note: Please make sure your final line only shows your final answer written as AB = ...
First find the areas of the two separate rectangles where:
Area of rectangle = length x width
Area of the small rectangle = x(x–4)
Area of small rectangle = [tex]x^{2} -4x[/tex]
Area of big rectangle = (x–2)(2x+x)
Area of big rectangle = (x–2)(3x)
Area of big rectangle = [tex]3x^{2} -6x[/tex]
The total area of the compound shape is 36, therefore:
[tex]3x^{2} -6x +x^{2} -4x=36[/tex]
[tex]4x^{2} -10x-36=0[/tex] (collecting like-terms and by bringing the +36 to the other side)
By dividing this by 2, you get:
[tex]2(2x^{2} -5x-18)=0[/tex]
[tex]2x^{2} -5x-18=0[/tex]
To find the length of AB (x), solve the quadratic by either factorising, completing the square or by using the quadratic formula, etc to solve for x.
[tex]2x^{2} -5x-18=0[/tex]
[tex](2x-9)(x+2)=0[/tex]
[tex]x=\frac{9}{2}[/tex]
[tex]x=-2[/tex]
However, a length cannot be negative, so x must be [tex]\frac{9}{2}[/tex] or 4.5cm, so length AB = 4.5cm.
Hope this helps :)
Reposting this question because of the bots sending links
a 260$ suit is marked down by 30%. find the sale price
Answer:
182
Step-by-step explanation:
If the suit itself is originally 260 and it lowered by 30% of itself, then we need to find 30% of 260, which would be 78. Since we are lowering the price, we subract 260 - 78 and get 182 as our final answer.
I hope this answer helped. Please let me know if I am incorrect. Thank you!
Simplify this please!!!! 100 points!!!!! ;)
Answer:6^21
Step-by-step explanation:
Answer: its B
Step-by-step you multiply 7 x 3 and you get 21
What number multiplied by 3/5 has a product of 1?
Answer:
5/3
Step-by-step explanation:
let the number be x
3/5×[x] = 3x/5
3x/5=1
x=1÷3/5
x=5/3
HELPE PLEASEEE Skjjjzjdjdjjsjsjdjdjdjd
.b- 15 = -12
b = 15 - 12
b = 3
. x - 5 = 7
x = 7 + 5
x = 12
. r + 6 = 11
r = 11 - 6
r = 5
. v/15 = 15
v = 15 × 15
v = 225
Answer:
3. b = 3
5. x = 12
7. r = 5
9. v = -225
Step-by-step explanation:
3. b - 15 = -12
To get b by itself we have to add 15 to both sides.
b = 15-12
b = 3
5. x-5 = 7
To get x by itself we have to add 5 to both sides.
x = 5+7
x = 12
7. r + 6 = 11
To get r by itself we have to subtract 6 to both sides.
r = 11-6
r = 5
9. [tex]\frac{v}{15}[/tex] = -15
To get v by itself we have to multiply [tex]\frac{v}{15}[/tex] by its opposite reciprocal which is [tex]\frac{15}{1}[/tex]
v = -15(15)
v = -225
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
A gardener has a flower pot that he wants to fill with dirt. The flower pot has a radius of 8 cm at its opening and a radius of 7 cm at its base. The flower pot has a height of 10 cm.
Part A:
Provide an estimate for the amount of dirt, in cubic centimeters, that the gardener will need to completely fill the flower pot.
Part B:
Explain how you determined your answer.
Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].
Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.
The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]
where
[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]
substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]
the approximate volume of the frustum is [tex]1769cm^3[/tex]
Learn more about the volume of a frustum here: https://brainly.com/question/14177094
: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
Answer:
There are 4.5 ounces (4 and a half, 4 1/2) in each container.
helpp :(
Habib rides his bike to school. This describes his trip:
A. Rides toward school
B. Stops to wait for a friend
C. Rides the rest of the way to school
Drag one segment to each box to show the shape of the graph of Habib's distance from home for each interval of time.
Answer:
see
Step-by-step explanation:
Part A. Jasmine wanted to cut some ribbon into 4 pieces, each 3 2/5 feet long. How big a piece of ribbon did she need to start with?
Part B. When she went to the fabric store, they only had enough ribbon for her to make 2 1/2 pieces that were as long as she wanted. How much ribbon did the fabric store have?
Answer:
pa answer din po please!!
Write an equation in slope-intercept form of the line that passes through the given point
and the given slope.
(-2,-4); m = -3
O y=-3x - 6
O y=-3x - 10
O y=-3x + 10
O y=-3x + 2
Answer:
it's y=-3x-10
Kaya rented a limousine for prom. There was one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was 347.50. How many hours did kaya rent the limo for?
Answer:
Kaya rented the limo for 5 hours and 30 minutes.
Step-by-step explanation:
Answer:
Kaya rented the limo for about 5 hours and 30 minutes.
Hope this helps! good luck :)
At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.
Write a system to represent the situation.
AND
Solve the system and interpret the answer.
Your Answer:
Answer:
[tex]x + y = 42,[/tex]
[tex]4x + 14y = 568,[/tex]
[tex]x = 2, y = 40[/tex]
Step-by-step explanation:
Learn the FULL explanation at: https://brainly.com/question/25629296
How much money, in dollars, is available on his card after he takes 0
rides?
Answer:
However much he had on his card in the first place.
Step-by-step explanation:
Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.
How would this question be solved?
Answer:
it would be solved by it mom
Regina went out for breakfast. The bill came to $7.20. If Regina has a discount coupon for 20%, how much will be taken off the bill?
Answer:
Step-by-step explanation:
the answer is 5.76$ , 20% is -1.44$
Factorise fully the following:
2x^2-8x
6x+9x^3
12x^3-4x^2
Step-by-step explanation:
1- 2x(x -4)
2- 3x(2-3x)
3- 4x²(3x-1)
Write 51 as a product of primes
Answer:
The prime factorization of 51 is the product of prime numbers which results in 51. Thus, the prime factorization of 51 is 51 = 3 × 17.
how to do b. quick!!!
What is the slope of a line perpendicular to the line y = 8x -5?
Answer:
-1/8
Step-by-step explanation:
the slope would be the opposite reciprocal of 8, which would be -1/8
Answer:
Y=-1/8x-5
Step-by-step explanation:
Perpendicular lines are negative reciprocals to each other
what is the value of 3.5(11+1.9(11)+1.6(11)?
Answer:
The answer is 77
Which of the following is equivalent to:
−−(2+5)−(3−7)?
Answer:
You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!
Step-by-step explanation:
Help me pleaseeeeeeeeeeee
Answer: Third option
the length of a rectangle is five times it’s width. if the perimeter of the rectangle is 72 yd find its area
Answer:
Try sketching an image of the rectangle. Area = length x width. To find the perimeter you would add up the length of all four sides.
Step-by-step explanation:
Find the amount paid for the loan. $4,800 at 9.9% for 4 years
Answer:
the amount paid for the loan would be $6700.80
What is the range of the graph
On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.
In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve
Which equation could have been used to create this table?
y = 3x
y = x + 3
y = x + 2
y = 4x
Answer:
y = 3x
Step-by-step explanation:
one kilogram of cheese costs £9.48
chris buys 650 g of this cheese
work out how much chris pays
Answer: $6.16
Step-by-step explanation:
100g = $0.948
50g = $0.475
$0.948*6 = $5.688
$5.688 + $0.475 = $6.163
Rounded = $6.16