Answer:
Height = 4 cm and slant height = 5 cm
Step-by-step explanation:
Given that,
The surface area of the cone, A = 75.4 cm²
Radius, r = 3 cm
The surface area of the cone is given by the formula as follows :
[tex]A=\pi r^2+\pi rl[/tex]
Put all the values,
[tex]75.4=3.14\times 3^2+3.14\times 3\times l\\\\75.4=28.26+9.42l\\\\75.4-28.26=9.42l\\\\47.14=9.42l\\\\l=\dfrac{47.14}{9.42}\\\\l=5\ cm[/tex]
Also,
[tex]l^2=r^2+h^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{5^2-3^2}\\\\h=4\ cm[/tex]
Hence, the height of the cone is 4 cm and the slant height is 5 cm.
Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?
Answer: $1,540.00 is the total amount needed for the class trip
Step-by-step explanation:
Data: $110.00 earned for class trip
14th of the money needed
Money needed: x
Step one, Make the equation
110x14=x
Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.
Step two, Evaluate the equation
110x14=x=1540=x
Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the answer of x=1540.
However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'
I hope this helps!
Is the function shown in the graph one-to-one?
Yes, there exists one input for every output.
No, there exists more than one input for at least one output.
Yes, there exists one output for every input.
No, there exists more than one output for at least one input.
Please help!!!!!!!!!!!
Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4
Step-by-step explanation:
I need this please ya
GE = 26
Step-by-step explanation:
OP = 16 + 9 = 25
PE - OG = 7
Using Pythagorean theorem,
(GE)^2 = (OP)^2 + (PE - OG)^2
=(25)^2 + (7)^2
= 625 + 49
= 674
or
GE = √674 = 25.96 or 26
can anyone help me with this pls
D should be your answer :)
Eve surveys the students in her classroom to find out how much time they spent doing their homework last night. The results are plotted in the line plot below. The measurements are rounded to the nearest \dfrac{1}{4}
4
1
start fraction, 1, divided by, 4, end fraction of an hour
Answer: The answer is 5/4 :)
Answer:
5/4 or 1 1/4
Step-by-step explanation:
khan academy
A rectangular garden has an area of 154 square feet. If its width is 11 feet, what is its length?
Answer:
[tex]Width = 14feet[/tex]
Step-by-step explanation:
Given
[tex]Area = 154[/tex]
[tex]Width = 11[/tex]
Required
The length
Area is calculated as:
[tex]Area = Length * Width[/tex]
Make Width, the subject
[tex]Width = \frac{Area}{Length}[/tex]
So, we have:
[tex]Width = \frac{154}{11}[/tex]
[tex]Width = 14feet[/tex]
The line shown below has the equation y = 2/3x-1
The highlighted point has coordinates (-4.3).
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
Z OO
Which of the following statements are true? Check all that apply
The distance covered on a two hour bloyole ride depende on the bike'e rate of
speed Al 10 mph, the rider will cover 20 miles. Al 18 mph, she will cover 30
miles
A. Distance(16) = 30
B. Distance(30) = 16
C. Distance(20) = 10
D. Distance(10) = 20
Answer:
Step-by-step explanation:
A. Distance(16)= 30
Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form
Answer:
Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo
Step-by-step explanation:
Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargoy = 3/5x + 5
y = -3/5x + 5
y = 3/5x - 5
y = -3/5x - 5
Answer:
y= 3/5x+5
Step-by-step explanation:
The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5
Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
∠A and ∠G
Step-by-Step Explaination:
I did it on
E
D
G
E
N
U
I
T
Y
What is the function graphed below?
9514 1404 393
Answer:
B. y = x + 0.5
Step-by-step explanation:
The y-intercept of 0.5 eliminates choices A and C.
When x increases by 1, y increases by 1, eliminating choice D.
The equation of choice B is graphed.
y = x + 0.5
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answer:
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Step-by-step explanation:
41/8 = 5.125
Express 848.41 m in millimeters
42 cubes of side 8cm are packed into a cuboid
64cm by 40cm by 24cm. How many more
cubes are needed to completely fill the cuboid?
Answer:
multiply itStep-by-step explanation:
thats it
A circle has radius 6 cm. Suppose an arc on the circle has length 31 cm. Answer the
following:
a. The fraction of the whole circle represented by this arc is
b. The measure of the central angle defined by the arc is
degrees.
C. The area of the sector defined by the arc is
cm2. (Express answer
in terms of r or pi).
Answer:
[tex]Fraction = \frac{31}{38}[/tex]
[tex]\theta = 296.18^\circ[/tex]
[tex]Area = 29.62 \pi[/tex]
Step-by-step explanation:
Given
[tex]r = 6[/tex]--- radius
[tex]L = 31[/tex] --- arc length
Solving (a): Fraction represented by the arc
First, calculate the circumference (C)
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 6[/tex]
[tex]C = 38[/tex] --- approximated
So, the fraction represented by the arc is:
[tex]Fraction = \frac{L}{C}[/tex]
[tex]Fraction = \frac{31}{38}[/tex]
Solving (b): Measure of the center angle
Using arc length formula, we have:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]
[tex]31 = \frac{\theta}{360} * 37.68[/tex]
Make [tex]\theta[/tex] the subject
[tex]\theta = \frac{360 * 31}{37.68}[/tex]
[tex]\theta = 296.18^\circ[/tex]
Solving (c): The area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]
[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]
Divide 360 and 36
[tex]Area = \frac{296.18}{10} * \pi[/tex]
[tex]Area = 29.618 * \pi\\[/tex]
[tex]Area = 29.62 \pi[/tex] --- approximated
(a) 34 is 85% of what number?
Answer:
[tex]40[/tex]
hope this helps you.
Can I have the brainliest please?
Describe how to use a conversion factor to convert units. PLEASE HELP DUE TONIGHT
Answer:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
Step-by-step explanation:
Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9
Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]
In this question:
Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]
The function is:
[tex]h(x) = -x^2 - 5x + 14[/tex]
[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]
[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]
Then
[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]
The average rate of change of the function over the interval is of 6.
Question in screenshot
Answer:
See below
Step-by-step explanation:
[tex]y = {u}^{ \frac{3}{2} } \\ \\ \therefore \: \frac{dy}{du} = \frac{3}{2} {u}^{ \frac{3}{2} - 1 } = \boxed{\frac{3}{2} {u}^{ \frac{1}{2}} } \\ \\ u = 8x + 3 \\ \\ \frac{du}{dx} = 8.1 + 0 = \boxed{8}[/tex]
What is 10° equivalent to?
Answer: [tex]\frac{\pi}{18}[/tex]
Step-by-step explanation:
To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.
Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]
WILL GIVE BRAINLIEST
Answer:110 degrees
Step-by-step explanation:
1 hundredth + 3 tenths =?hundredths
Answer:
.01 + .3 = 0.31
Step-by-step explanation:
How many books could you read in 114 days if you read 2 books every 3 days?
Answer:
76 books
Step-by-step explanation:
2/3 × 114 = 76
__________
What is the domain of y= tan(x)?
Answer:
Step-by-step explanation:
The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.
what is the volume of the aquarium?
Answer:
3000 in3 ? I haven't actually done this i-ready before- but I believe it's
Width x Length x Height = Final result?
Step-by-step explanation:
given sin x= 7/25 abd cos x = 24/25. what is the ratio for tan x?
Answer:
Solution given:
[tex] sin x=\frac{7}{25}[/tex]
[tex]Cosx=\frac{24}{25}[/tex]
Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]
Tan x=[tex] \frac{7*25}{24*25}[/tex]
tan x=[tex] \frac{7}{24}[/tex]
is a required answer.
The expense ratio (in percentage) for large-cap growth mutual funds have the following sample data0.52, 1.06, 1.26, 2.17, 1.55, 0.99, 1.10, 1.07, 1.81, 2.05 0.91, 0.79, 1.39, 0.62, 1.52, 1.02, 1.10, 1.78, 1.01, 1.15The data is believed to be normally distributed.a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypothesis using a significance level 0.01.b. Referring back to part (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that ? = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?c. Suppose that ? = 0.5, determine and interpret the power of the test in part (a) for the actual value of ? stated in (b).
Answer:
Part a: Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b: Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c: Power = 0.6591=0.66
Step-by-step explanation:
Part a:
Let the null and alternate hypotheses be
H0: u ≤ 1 against the claim Ha: u > 1
The significance level is ∝=0.01
As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom
This is one tailed test the critical region is t > ± 2.539
The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486
We take population mean = u= 1
The test statistic is
t = x`-u/ s/ √n
t= 1.24-1 / 0.445/√20
t= 0.24/0.0995
t= 2.412
Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b:
Type I errors are those errors when the null hypothesis is true and is rejected.
Type II errors are those in which the null hypothesis is false and is accepted.
If we had rejected the null hypothesis as it was true then we would have made a type I error.
Population mean = u = 1.33
And our null hypothesis is u= 1
Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c:
When σ= 0.5
For Part a: μ= 1.33
Power = P (reject H0/ H0 is false)
= 1-β
P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)
= P (z > 2.539+ (1-1.33) /0.5 *√20)
=P (z > 2.539-2.9516)
= P (z > 0.4126)
= 0.5 - P (z= 0.2938) from the area of table.
= 0.5- 0.1591
=0.3409
Power = 1-β = 1- 0.3409= 0.6591=0.66
WILL GIVE BRAINLIEST!!!!
Plot the image of quadrilateral ABCD under a reflection across line L.
Answer:
See image
Step-by-step explanation:
I clicked submit and it was right
Also dude I remember doing this and struggling before