Answer:
10.44cm lon
Step-by-step explanation:
Given data
Height of house= 10cm
Distance of ladder from wall= 3cm
We can apply the Pythagoras theorem to get the length of the ladder
Also, the length of the ladder is the hypothenuse
z^2= x^2+y^2
z^2= 10^2+ 3^2
z^2= 100+9
z^2= 109
square both sides
z= √109
z= 10.44cm
Hence the ladder is 10.44cm long
If the surface area of the cone below is 628.32 m², find its volume.
I WILL MARK BRAINLEIST IF CORRECT AND 20 POINTS
Answer:
1586.91 m³
Step-by-step explanation:
From the diagram attached,
Applying,
A = πrl.................. Equation 1
Where A = surface area of the cone, l = slight heigth of the cone, π = pie.
make l the subject of the equation,
l = A/πr.............. Equation 2
From the question,
Given: A = 628.32 m², π = 3.14, r = 8 m
Substitite these values into equation 2
l = 628.32/(3.14×8)
l = 25 m
But,
l² = h²+r².................... Equation 3
Where h = height of the cone.
h = √(l²-r²)
h = √(25²-8²)
h = √(625-64)
h = √(561)
h = 23.69 m
Also Applying,
V = 1/3πr²h
Where V = volume of the cone.
Therefore,
V = (3.14×8²×23.69)/3
V = 1586.91 m³
Type the correct answer in the box.
Consider the system of linear equations below.
-3x+4y=24
6x+2y=-18
Answer:
[tex] - 3x + 4y = 24 \\ 3x - 4y = - 24 - - - (a) \\ 6x + 2y = - 18 - - - (b) \\ 2 \times (a) - (b) : \\ = > 0x - 10y = - 30 \\ 10y = 30 \\ y = 3 \\ \\ 3x = - 12 \\ x = - 4 \\ { \boxed{x = - 4}} \: \: \\ { \boxed{y \: = \: 3}}[/tex]
A man-made lake is stocked with 10,000 fish. This population is expected to decline by an annual rate of 12%
Predict the fish population 5 years after the lake is stocked
Answer:
4000 fish left in lake after 5 years
Step-by-step explanation:
12 x 5 = 60 (60%)
10000 - 60% = 4000
Determine the value of x.
Question 11 options:
A)
5
B)
5
C)
10
D)
Answer: [tex]\frac{10}{\sqrt{3}}[/tex]
This is equivalent to [tex]\frac{10\sqrt{3}}{3}[/tex]
======================================================
Explanation:
To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.
This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.
The expression [tex]\frac{10}{\sqrt{3}}[/tex] is the same as [tex]\frac{10\sqrt{3}}{3}[/tex] after we multiply top and bottom by sqrt(3) to rationalize the denominator.
Side notes:
This entire process only applies to 30-60-90 triangles.The hypotenuse of a 30-60-90 triangle is twice as long as the short leg, so the hypotenuse is [tex]2x = 2*\frac{10\sqrt{3}}{3} = \frac{20\sqrt{3}}{3}[/tex] units long. You could use the tangent ratio to help isolate x. You would either say tan(30) = x/10 or tan(60) = 10/x as the first equation to set up.a recipe for 24 bran muffins requires 2.25 cups of flour. You want to make 30 bran muffons. which proportion could be solved to find x, the total number of cups of flour needed
Answer:
Number of cups water require for 30 muffins = 2.82 cups (Approx.)
Option "D"
Step-by-step explanation:
Given:
24 bran muffins required = 2.25 cups of flour
Find:
Number of cups water require for 30 muffins
Computation:
Assume;
Number of cups water require for 30 muffins = x
So,
24 / 2.25 = 30 / x
x = [30 × 2.25] / 24
x = 67.65 / 24
x = 2.8187
Number of cups water require for 30 muffins = 2.82 cups (Approx.)
Jon Deposits $14,500 into an account paying 5% annual interest compounded quarterly and Sara deposits $16,250 into an account paying 4% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Jon:
Initial investment (PV)= $14,500
Interest rate (i)= 0.05/4= 0.0125
Number of periods (n)= 4 quarters
Sara:
Initial investment (PV)= $16,250
Interest rate (i)= 0.04/365= 0.00011
Number of periods (n)= 365 days
To calculate the Future Value, we need to use the following formula:
FV= PV*(1+ i)^n
Jon:
FV= 14,500*(1.0125^4)
FV= $15,238.71
Sara:
FV= 16,250*(1.00011^365)
FV= $16,915.67
Sara will have $1,676.96 more than Jon.
What is : X + -3 = -10
Step-by-step explanation:
add 3
x = - 7___________..........
1 out of 5 pairs of Henry's shoes no longer fit him. what fraction of his shoe collection still fit ?
Answer:
4/5
Step-by-step explanation:
here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5
y is directly proportional to the positive square root of x when x = 9, y= 12 find y when x =1/2
Y =k√x
12 = 3k
k = 4
now X = 1\2
y = 4√1/2
y = 2√2
Answer:
y = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is
y = k[tex]\sqrt{x}[/tex] ← k is the constant of variation
To find k use the condition when x = 9, y = 12
12 = k[tex]\sqrt{9}[/tex] = 3k ( divide both sides by 3 )
4 = k
y = 4[tex]\sqrt{x}[/tex] ← equation of variation
When x = [tex]\frac{1}{2}[/tex] , then
y = 4[tex]\sqrt{\frac{1}{2} }[/tex] = 4 × [tex]\frac{1}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
y = [tex]\frac{4}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{4\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex]
A company's daily cost c, in hundreds of r dollars, to manufacture n items of a certain product can be modeled by the function c^-1(5)=80, Lording to the model, which of the following is the best interpretation of c ^1(5) = 80, where c^1 is the inverse function of c ?
a) The company's daily cost to manufacture 5 items of the product is $80.
b) The company's daily cost to manufacture 5 items of the product is $8,000.
c) The company's daily cost to manufacture 500 items of the product is $80.
d) The company's daily cost to manufacture 80 items of the product is $5.
e) The company's daily cost to manufacture 80 items of the product is $500.
Answer:
e) The company's daily cost to manufacture 80 items of the product is $500.
Step-by-step explanation:
We have that:
c is the cost in hundreds of dollars to manufacture n items. The input is the number of items, and the output is the cost, in hundreds of dollars.
Inverse function:
In the inverse function, the input and the output are exchanged from the original function, that is, in this situation, the input in the cost, in hundreds of dollars, and the output is the number of manufactured items.
c^-1(5)=80
Input of the inverse function is 5, which is the cost, in hundreds of dollars, that is, $500, to manufacture 800 itens. This means that the correct answer is given by option e.
Pls help me on this due today plssss!!!
Answer:
Step-by-step explanation:
A+B+C+D=360 degree (being one complete turn)
360 degrees
Step-by-step explanation:
because it a venticular angle you one side(180) and the other side (180) given you 360 degrees
Precision is a measure of how close an answer is to the actual or expected
value.
True or false ?
Answer:
False
Step-by-step explanation:
Precision describes repeatability.
Accuracy describes the closeness of a measurement to the actual value.
So your measurements may be precise but not accurate; for example if you used a faulty measurement system. And of course, you could get accurate results SOME of the time (which describes the exprerience of most researchers).
Errors in precision are usually detected.........eventually, invariably after you have shot your mouth off to your professor.
Write the following geometric sequence recursively: 10, 100, 1000, 10000.*
Answer:
i think the * is 100000, each number times 10
Rationalise
[tex]{ \frac{1 + \sqrt{3} }{ \sqrt{12} } } [/tex]
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{2\sqrt{3} + 6}{12}[/tex]
Step-by-step explanation:
Simplify the denominator of [tex]\frac{1 + \sqrt{3} }{\sqrt{12} }[/tex] completely.
[tex]=> \frac{1 + \sqrt{3} }{ \sqrt{(4 \times 3)} } = \frac{1 + \sqrt{3} }{\sqrt{4} \times \sqrt{3} } = \frac{1 + \sqrt{3} }{2\sqrt{3} }[/tex]
Now, to rationalise it you need to make the denominator rational.
Multiply & divide [tex]\frac{1 + \sqrt{3} }{2\sqrt{3} }[/tex] by [tex]2\sqrt{3}[/tex].[tex]=> \frac{1 + \sqrt{3} }{2\sqrt{3} } \times \frac{2\sqrt{3} }{2\sqrt{3} }[/tex]
[tex]=> \frac{(1 + \sqrt{3})\times 2\sqrt{3} }{2\sqrt{3} \times 2\sqrt{3} }[/tex]
[tex]=> \frac{2\sqrt{3} + 6 }{12}[/tex]
The area of Sophie‘s herb garden is 1/8 The area of her vegetable garden. The area of her herb garden is 6 square feet. What is the area of her vegetable garden
Answer:
see below
Step-by-step explanation: 5 25 14 02
herb garden is 1/8 The area of her vegetable garden
herb garden is 6 square feet
vegetable garden = ???
herb garden / vegetable garden = 1/8 solve for vegetable garden
herb garden × 8 = vegetable garden
6 ft² × 8 = __________ ft²
Ecuaciones
A: 7=5-×
B: ×-2=-16
C: -8=4.×
D: ×.2=-6
Step-by-step explanation:
A:x=5-7
x=-2
B:x=-16+2
x=-14
l have answered only A and B
Reflect (1,‐4) across the x‐axis what is the reflected ordered pair?
Answer:
(1,4)
Step-by-step explanation:
(1,-4) is over 1 and down negative 4 so reflected over the x-axis(the horizontal one) it would be four up so the answer is (1,4)
Answer: (1,4)
Step-by-step explanation:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (1,-4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (1,4)
Factor the expression below.
x² - 64
O A. (x - 16)(x-4)
B. (x+16)(x-4)
O C. (x-8)(x-8)
O D. (x+8)(x-
Answer:
(x-4)(x+4)
Step-by-step explanation:
x^2 - 64 = x^2 - 4^2 = (x-4)(x+4)
What is the measure of remote angle, ∠A?
Answer:
40
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
<A = 1/2 (80)
<A = 40
Juan family hang their clothes outside to dry, if they use the dryer, there $400 monthly bill will increase by % wich means it will cost $700
RUNNING OUT OF POINTS PLEASE!! Find the perimeter and area for the triangle. Be sure to write the formula, and use correct measure.
Answer:
Area = 77ft²
Perimeter = 44 9/20 feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20
Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?
2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?
3) Who had the higher initial height? What was it?
Uh oh, looks like you need the graph to answer this question! If you post the graph then I can answer in numbers but for now, I'll try to explain:
1) I assume the graph looks like a dome shape, so based on that, where the line comes back down and hits the bottom line on which x value is larger will be whose stone hit the water second and what time will be what x value represents the time it hit the water.
2) look at the highest value on the purple graph and that is the maximum height (the y value of that point) and the x value of that highest point will be the time it took for the stone to reach its maximum height.
3) based on this question, the graph should start not on the 0 but at a point on the y axis, so whoever's starting y value is higher will be this answer and what that is will be the number answer to the what was it part.
Hope this helps and if you post the graph then I can do more! :)
2 Which of the following is true about rhombus LMNO?
Rhombus LMNO is shown with its diagonals.
Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.
Angle MLO measures 112°. What is the measure of angle MLP?
45°
56°
68°
90°
Step-by-step explanation:
B
What is the product?
2 3 4
5 9 -1 -7
11 5 -3
Answer:
-1247400
Step-by-step explanation:
See the Image below:) I believe this is what you are looking for.
The 7th grade class is going on a trip to Disneyland there are 162 learners and 24 LF's attending the trip one bus can hold 65 people how many buses do they need to order to take everyone to Disneyland
Answer: about 3 buses
Step-by-step explanation: 162+24=186 and 65*3=195 so 3 buses is enough
Hope this helps:)
Plz help me well mark brainliest if correct....??????????????...
Answer:
D). 100
Step-by-step explanation:
The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100
Find the graph of the inequality y+2>-3(x+1)
Answer:
Below.
Step-by-step explanation:
y + 2 > -3(x + 1)
y + 2 > -3x - 3
y > -3x - 5
The graph will be the graph of the line y = -3x - 5 (dotted line), with the area above the line shaded.
Help me PLEASEEEEEEEEEEEEE
Answer:
D. 144
Step-by-step explanation:
Find volume of shipping container:
2 2/3 = 8/3
2 x 1 = 2
8/3 x 2/1 = 16/3
Find volume of cube:
1/3 x 1/3 = 1/9 x 1/3 = 1/27
Find how many boxes fit in container:
16/3 ÷ 1/27
16/3 x 27/1
Simplify:
16/1 x 9/1 = 144/1
Answer: 144
Which answers describe the shape below
Answer:
B. parallelogramStep-by-step explanation:
stay safe, stay healthy and blessed.
thank u
Answer:
a b c d e
Step-by-step explanation:
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
Answer:
[tex]P(x \le 21) = 0.69146[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]n = 64[/tex] --- population
[tex]\mu = 20[/tex] --- population mean
[tex]\sigma = 16[/tex] -- population standard deviation
Required
[tex]P(x \le 21)[/tex]
First, calculate the sample standard deviation
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{16}{\sqrt {64}}[/tex]
[tex]\sigma_x = \frac{16}{8}[/tex]
[tex]\sigma_x = 2[/tex]
Next, calculate the sample mean [tex]\bar_x[/tex]
[tex]\bar x = \mu[/tex]
So:
[tex]\bar x = 20[/tex]
So, we have:
[tex]\sigma_x = 2[/tex]
[tex]\bar x = 20[/tex]
[tex]x = 21[/tex]
Calculate the z score
[tex]x = \frac{x - \mu}{\sigma}[/tex]
[tex]x = \frac{21 - 20}{2}[/tex]
[tex]x = \frac{1}{2}[/tex]
[tex]x = 0.50[/tex]
So, we have:
[tex]P(x \le 21) = P(z \le 0.50)[/tex]
From the z table
[tex]P(z \le 0.50) = 0.69146[/tex]
So:
[tex]P(x \le 21) = 0.69146[/tex]