Answer:
[tex]A=110.5\pi \ inches^2[/tex]
Step-by-step explanation:
Given that,
The slant height of a cone, l = 17 inches
The diameter of a cone, d = 13 inches
Radius, r = (D/2) = 6.5 inches
We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
Put all the values,
[tex]A=\pi \times 6.5\times 17\\\\A=110.5\pi \ inches^2[/tex]
So, the lateral surface area of the cone is equal to [tex]110.5\pi \ inches^2[/tex].
Answer:
B 110.5
Step-by-step explanation:
[tex]8 \div \frac{2}{3} [/tex]
I need this is an improper fraction
Answer:
you could just do 12/1 or let 8 turn into 24/3
Step-by-step explanation:
on step 1 we should do reciprocal
on step 2 we should multiply
on third step 3 we should divide
so the answer is 12
What is the distance between (2,8) and (8, 16)?
Answer:
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
(6, 8)
Step-by-step explanation:
please mark this answer as brainliest
Answer:
10
Step-by-step explanation:
If ∠1 and ∠2 are vertical angles and m∠2 = 108°, find m∠1.
Answer:
angle 1 = 108°
Step-by-step explanation:
because angle 1 and angle 2 are vertical angles and vertical angles are equal.
In rectangle ABCD,If EC=13 find BD
Answer:
[tex]BD = 26\\[/tex]
Step-by-step explanation:
Given
[tex]EC = 13[/tex]
Required
Find [tex]BD[/tex]
In the given rectangle.
AC and BD are the diagonals.
This implies that:
[tex]AC = BD[/tex]
AC is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
So:
[tex]AC = EC + EC[/tex]
[tex]AC = 13+13[/tex]
[tex]AC = 26[/tex]
Recall that: [tex]AC = BD[/tex]
[tex]BD = 26\\[/tex]
Which is bigger a population or a sample?
a - Population
b - Sample
c - They are both the same
Delta makes 12-volt car batteries. These batteries are known to be normally
distributed with a mean of 45 months and a standard deviation of 8 months.
What percent of Delta car batteries last between three and four years?
Answer:
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
Step-by-step explanation:
Step(i):-
Given that the sample size n =12 -volt car batteries
Let 'X' be a Random variable in a normal distribution
Given that mean of the normal distribution = 45 months
Given that the Standard deviation of the normal distribution = 8months
Step(ii):-
Let X₁ = 3 years = 12 × 3 = 36 months
[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125[/tex]
Let X₂ = 4 years = 12 × 4 = 48 months
[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375[/tex]
Step(iii):-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = P(-1.125≤Z≤0.375)
= P(Z≤0.375) - P(Z≤-1.125)
= 0.5 +A(0.375) - (0.5-A(1.125)
= 0.5 + 0.1480 - (0.5 -0.3708)
= 0.1480 + 0.3708
= 0.5188
Final answer:-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter: 4 x 2 x π = 8π
LA = 8π x 6 = 48π
Base area = 4^2π = 16π
SA = 16π x 2 + 48π = 80π
V= 16π x 6 = 96π
For the function f(x)=2^x the y intercept is (0,1). What is the y intercept of the function y=a•2^x?
A. (0,1)
B. (0,-a)
C. (0,a)
D. (0, 1/a)
Answer:a
Step-by-step explanation:
Which expression is the simplest form of 2(4x + y) + 3(x - 6y) + x2?
O A. x2 + 11x-17y
B. x2 + 11x – 4y
C. x2 + 9x- 17y
O D. x2 + 11x-16y
Answer:
x² + 11x-16y
Step-by-step explanation:
The given equation is :
[tex]2(4x + y) + 3(x - 6y) + x^2[/tex]
It can be simplified as follows :
[tex]2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2[/tex]
So, the correct option is (d) i.e. x² + 11x-16y.
What is the value of the contangent of
Given:
In triangle WXY, [tex]m\angle W=90^\circ, WX=8, XY=17, WY=15[/tex].
To find:
The Cotangent of [tex]\angle X[/tex].
Solution:
In a right angle triangle,
[tex]\cot \theta=\dfrac{Base}{Perpendicular}[/tex]
It can be written as:
[tex]\cot \theta=\dfrac{Adjacent}{Opposite}[/tex]
For triangle WXY,
[tex]\cot (\angle X)=\dfrac{WX}{WY}[/tex]
[tex]\cot (\angle X)=\dfrac{8}{15}[/tex]
Therefore, the Cotangent of [tex]\angle X[/tex] is [tex]\dfrac{8}{15}[/tex].
Which shape is the base of the pyramid shown below?
A triangle
B square
Answer:
B. it's a square pyramid so the base is a square.
Step-by-step explanation:
the peremeter of a square is 16 inches what is the lenth of each side
Answer:If the figure is a square with a perimeter of 16 inches, then each side of the square is 4 inchest in length.
Step-by-step explanation:
Answer:
The length of each side is 4 inches.
Step-by-step explanation:
Since the shape is a square, all sides are equal so you do 16÷4 since there are 4 sides to get your answer of 4 inches.
Simplify 4x + 3x² + x² - 3x
Answer:
[tex]x + {4x}^{2} [/tex]
Step-by-step explanation:
simplify by combining like terms
4x - 3x = x
[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]
we're left with
[tex]x + {4x}^{2} [/tex]
Answer:
4x²+x
Step-by-step explanation:
4x-3x+3x²+x²
4x minus 3x is x and 3x² +x² is 4x²
therefore,
4x²+x
Your marketing team has conducted two focus group sessions to evaluate a new product design. The first focus group consisted of teenagers and resulted in four out of five liking the new product. The second group was made up of parents of young children. Only one out of five people in this group said they liked the same new product as the teens. With 90% confidence (Z = 1.64), can you say that there is a difference between the views of these two populations? Please show your calculations, use 2 decimal places in your calculation answer, and justify your answer regarding differences.
Answer:
Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.
Step-by-step explanation:
1) Formulate the hypotheses:
H0 : p1=p2
Ha: p1 ≠ p2
2) The significance level is chosen at ∝= 0.1
3) The critical region is Z∝/2 ≥ ± 1.645
4) The test statistic under H0 is
Z = p1^- p2^/ √p^q^( 1/n1 + 1/n2)
p1^= proportion of of teenagers liking the new product.
p2^ = proportion of of parents of young children liking the new product.
p1^= 4/5
p2^= 1/5
p^= 5(0.8) + 5(0.2)/5+5= 4+1/10= 0.5
q^= 0.5
Thus
Z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)
z= 0.8-0.2/√0.5*0.5( 1/5 + 1/5)
z= 0.6/ 0.316227
z= 1.897
5) Conclusion:
Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.
A chemist is using 342 milliliters of a solution of acid and water. If 17.7% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
60.5 mL
Step-by-step explanation:
Since 17.7% of the solution is acid, and we have 342 mL in total, we just multiply 342 x 0.177 to get 60.5 mL of acid.
I hope this is correct, Best of luck!
Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
9514 1404 393
Answer:
71.4
Step-by-step explanation:
The perimeter of the polygon is the sum of the lengths of its sides. Opposite sides in this geometry have the same sum, so the perimeter is ...
P = 2(16.4 +19.3) = 2(35.7)
P = 71.4 . . . units
__
The missing length on the lower half of the upper right side is 6.3.
EVERYBODY LOOK.
^^^^^^^^^^^^^^^^^^^
40 FREEPOINTS
Answer:
Oh ok add me abelthegoat8
Step-by-step explanation:
Answer:
I don't have sc, but thx for the points! :)
Step-by-step explanation:
have a good day!
Which of the following is not a term in the expression
Jeff bought 7 pounds of chocolate
and spent $889. How much is one
pound of chocolate?
Answer:
127
Step-by-step explanation:
peggy drives for 3 hours at an average speed of 61 miles per hour. Then when she crosses over into the next state she is able to drive the next 2.5 hours at an average speed of 72 miles per hour.
what was her average speed for the entire trip?
Answer:
65 miles per hour
Write an equation of the line below.
Answer:
y=-1/3x
Step-by-step explanation:
y=-2/6x
y=-1/3x
y-intercept is 0
If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer
Use the pic and solve the COS x-sin x/COS x+ sin x part
comment if there's something u don't understand
The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
tanx = 3/4 (x is an acute angle)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex] ….(1)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex] …(2)
Divide (1) ÷ (2)
(cosx-sinx)/(cosx+sinx) = (1/3)/(7/3) = 1/7
Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
Answer choices
15
18
20
30
Please help no links I will report
Answer:
18 people.
Step-by-step explanation:
thirty percent of 60 is 18
The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, what percent of performances would fall between 395 and 1983 points?
Your answer
A. 100%
B. 68%
C. 95%
D.99.7%
Answer:
C. 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1189 points, standard deviation of 397 points.
Percentage between 395 and 1983 points?
395 = 1189 - 2*397
1983 = 1189 + 2*397
So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.
a circle passes through the points o(0,0), a(8,4) and b(6,6). show that oa is a diameter of the circle and find the equation of the circle
9514 1404 393
Answer:
(x -4)² +(y -2)² = 20
Step-by-step explanation:
The circle is the circumcircle of triangle OAB. Then OA will be a diameter if angle OBA is a right angle. We can check that by looking at the slopes of AB and BA.
B-O = (6, 6)-(0, 0) = (6, 6) ⇒ slope = Δy/Δx = 6/6 = 1
A-B = (8, 4) -(6, 6) = (2, -2) ⇒ slope = -2/2 = -1
These slopes have a product of -1, so OB ⊥ BA. The hypotenuse (OA) of ΔOBA is the diameter of the circle.
Then the midpoint of the hypotenuse is the center of the circle.
C = (O +A)/2 = ((0, 0) +(8, 4))/2 = (4, 2)
The equation is ...
(x -h)² +(y -k)² = r² . . . . . circle with center (h, k) and radius r
The radius is the distance from O to C, so is ...
r² = 4² +2² = 20
and the equation of the circle is ...
(x -4)² +(y -2)² = 20 . . . . equation of the circle
A square has side length 3 units. What is the length of the diagonal?
9514 1404 393
Answer:
C. 3√2 units
Step-by-step explanation:
The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.
__
If you like, you can see this using the Pythagorean theorem.
d² = s² + s² . . . . . where d is the diagonal, and s is the side
d² = 2s²
d = √(2s²) = s√2
For s=3, ...
d = 3√2
Could someone help me please?
Answer:
600
Step-by-step explanation:
So lets rememer the formula for volume of a pyramid to sovle this:
LxHxW/3
Now lets plug in our values, for L, H, and W.
15x12x10/3
So, 15x12x10 is 1800. That is the height times the length times the width.
Now, since this isnt volume of a cube, we must divide the total my 3. This is how you find the volume of a pyramid, as I said above.
So it should be:
1800/3
=
600
This is your answer.
I hope this helps : )
Good luck!
A scale drawing used for the model of a building is 1 inch = 150 feet. How tall is the building if the scale model is 6 inches tall?
Answer:
900
Step-by-step explanation:
1 inch/150 feet x 6 inch/x feet
cross multiply
1x=900
The picture shows a carousel. The carousel spins while the horses move up and down. A student determines to
each horse completes one up-down cycle in 30 seconds. The student rides a horse on the carousel for 2 minute
which equals 120 seconds.
raal
Answer:
4 times
Step-by-step explanation:
Note,
60 seconds = 1 minute120 seconds = 2 minutes (60*2).Since the student rode a horse for 120 seconds, to find the number of times the student riding the carousel completed the up-down cycle, we divide it by 30 seconds (which is the duration for the horse to complete one up-down cycle) because the student would be having the same duration as the horse because he was on top the horse.
Hence, we have;
120/30 = 4
6/x=2x+4/5 multiply each side by the common denominator to find the quadratic equation equivalent to this equation
9514 1404 393
Answer:
C. 2x² +4x -30 = 0
Step-by-step explanation:
This is what you get when you follow the instructions.
[tex]\dfrac{6}{x}=\dfrac{2x+4}{5}\qquad\text{given}\\\\\dfrac{6(5x)}{x}=\dfrac{(5x)(2x+4)}{5}\qquad\text{multiply by the common denominator $5x$}\\\\30=x(2x+4)\qquad\text{cancel common factors}\\\\30=2x^2+4x\qquad\text{eliminate parentheses}\\\\\boxed{2x^2+4x-30=0}\qquad\text{subtract 30}[/tex]