ANSWER
solution
here,
Correct option is B)
Total age of 40 old students =40×15=600years.
Total age of 40 old and 10 new students =50×15.2=760years
∴ Total age of 10 new students =760−600=160years
∴ Required average age =
10
160
=16years
Answer:
16 years is the answer
Step-by-step explanation:
My account got deactivated I am about to cry
The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.
The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
Lateral surface area of a coneThe formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
r = base radiusl = slant heightTherefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
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What is the answer I need help please
Answer:
i belive the answer is 73
Step-by-step explanation:
45+62=107
180-107=73
Which expression is NOT equivalent to 100 + 20?
O10(10 + 2)
2(50 + 10)
Submit Answer
04(96 + 5)
5(20 + 4)
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is
true?
O x2 + x = 42
O x2 + 2x = 42
O x2 + x + 42 = 0
O x2 + 2x + 42 = 0
ark this and return
Answer:
x² + x = 42
Step-by-step explanation:
let x = a number
then x² is the square of the number
x² + x is the sum of the square of the number and the number.
x² + x = 42
A mountain in Jackson County is eroding and losing elevation at a rate of 5% every
millennium. If the current elevation is 1,300 meters, how tall will the mountain be in 8
millennia?
mund your anuor to the noroctwhold number
Answer:
862 m (nearest whole number)
Step-by-step explanation:
General form of an exponential function: [tex]\sf y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
If the mountain is losing elevation at a rate of 5% every millennium , then it as every millennium passes, it will be 95% of the height it was in the previous millennium (as 100% - 5% = 95%)
Given:
a (initial value) = 1300 mb = 95% = 0.95x = 8 millenniaSubstituting these values into the formula:
[tex]\sf \implies y=1300(0.95)^8[/tex]
[tex]\sf \implies y=862.4467607...[/tex]
[tex]\sf \implies y=862 \ m \ (nearest \ whole \ number)[/tex]
What is the answer to this?
Answer:
4 mm
Step-by-step explanation: The height is the same length of the length
Have a good day!
The volume of a rectangular prism is given by V = l×w×h
48 = 3×4×n
48 = 12n
n = 4
Answer:
n = 4
Step-by-step explanation:
The volume of a rectangular prism is given by
V = l×w×h
Subbing in known variables and solving
48 = 3×4×n
48 = 12n
n = 4
Is the function even, odd or neither? How do you know?
() = −2^3 - x
Answer:
algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even
Step-by-step explanation:
Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)
Look at the map showing the Austria-Hungarian Empire in about 1900.
Map of ethnic groups in Austria-Hungary in 1867. Prussia, the Russian Empire, Kingdom of Italy, Serbia and Romania are shown along with these ethnic groups: Germans, Poles, Slovenes, Hungarians, Romanians, Italians, Czechs and Slovaks, Croats and Serbs.
What information does the map provide about the Austria-Hungarian Empire?
Answer:
Austria-Hungary was home to many different ethnic groups.
Step-by-step explanation:
hope it helps ;))
(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)
Answer:
A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)
Here c divide AB line in the ratio of 1:2
From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)
and y=(m1×y2+m2×y1)/(m1+m2)
where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;
so x=(3+4)/3
or, x=7/3;
y=(-2-6)/3
or, y=-8/3;
so, oc=√((0-7/3)²+(0-(-8/3))²)
oc=3.54
find the slope of the line that passes through the points given in the table
Answer:
17. -2.5
18. 3
19. 0
20. -1
21. 2.33
22. undefined
The Slope of line:
1. -5/2
2. 3
3. 0
4. -1
5. 7/3
6. ∞
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
1. Slope of line
= (1-11)/ (-2 +6)
= -10 / 4
= -5/2
2. Slope of line
= (-2+ 5)/ (-3+ 4)
= 3 / 1
= 3
3. slope of line
= (6-6)/ (3+1)
= 0
4. Slope of line
= (7-8)/ (2-1)
= -1
5. Slope of line
= (-1+8)/ (0+3)
= 7/3
6. Slope of line
= (3-5)/ (-2+ 2)
= ∞
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There are 30 students in Ava’s class. Nine of them belong to the Pep Club. What fraction of the class are Pep Club members?
Answer:
total no. of students=30
pep club students =9
:=9/30 divide by 3
;=3/10
A line has a slope of -3 and passes
through the point (8,-12).
There aren't enough parts for this to be classified as a question.
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
Step-by-step explanation:
Answer:
cosA = [tex]\frac{9}{41}[/tex]
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{9}{41}[/tex]
Find the perimeter of the given figure.
Answer:
9.4
Step-by-step explanation:
(rectangle) shape 1: perimeter of rctangle= 2(l b)
=7
(semicircle)shape 2:perimeter of semicirlce=½ñd+d(ñ=pie)
0.5×ñ×1.4+1.4=3.6
add them
7+3.6=10.6
i hope i was helpful
please consider as brainlest
How many cups of water should be mixed with 1/4 cup of vinger to make the cleaning solution
Answer:
"mix 1 cup of vinegar with 1 gallon of water"
1 cup = 8oz; 1/4 cup = 2oz
You can see that the amount of vinegar is 1/4 of the original amount,
so, we will need 1/4 of the amount of water, which is 1gallon = 128oz
so, 1/4 times 128oz = 32oz, which is one quart
Algebraically, 8oz : 128oz = 2oz : x
8x = 256; x = 32oz
Find the area of the shaded region
Answer:
Step-by-step explanation:
Remark
The easiest way is to find the area of the trianlge and subtract the area of the circle.
Area of the triangle
Area of the triangle = 1/2 b * h
b = 40 km
h = 27 km
The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km
Area of the triangle = 1/2 * 40 * 27
Area of the triangle = 540
Area of the circle
Area of the circle = pi r^2
r = d/2
r = 12/2
r = 6
Area of the circle = pi * 6*6
Area of the circle = 3.14 * 36
area of the circle = 113.04
Area of the shaded region
Area of the shaded region = area of triangle - area of the circle
Area of the triangle = 540
Area of the circle = 113.04
Area of the shaded region = 540 - 113.04
Area of the shaded region = 426.96
Given the regular polygon ABCDEF with side lengths of 16 km, find the area of the shaded region. Round your answer to the nearest tenth.
The hexagon surface area is the amount of space on it
The surface area of the hexagon is 665.11 square centimeters
How to determine the surface area?The question is incomplete, as the diagram is not given.
So, I will calculate the surface area of the hexagon.
The side length of the hexagon is given as:
L = 16 km
The surface area of the hexagon is calculated using:
A = 1.5[tex]\sqrt3[/tex]L^2
This gives
A = 1.5 * [tex]\sqrt3[/tex] * 16^2
Evaluate the product
A = 665.11
Hence, the surface area of the hexagon is 665.11 square centimeters
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A handkerchief is 20 cm long and 18 cm broad. how much the breadth must be decreased to cover a surface of 324cm²
Answer:
1.8 cm
Step-by-step explanation:
Hope it will help...
questions in the attached img. thanks in advance
Answer:
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Can X = 2 be linear function
Answer:
yes it can
.........................................
Answer:
Yes
Step-by-step explanation:
A linear function is a straight line and when we graph x=2 the line goes straight through x=2
E
H
36
X + 10
57°
370
(5y + 7)º
G
60
F
J
36
1
Triangle FEG is similar to triangle IHJ. Find m_H.
mZH =
What is the answer?
Answer: 86 degrees
Step-by-step explanation:
- Calculate the profit or loss
- Find the percentage profit or loss correct to 2 decimal places
A car purchased for $28899 was sold for $17580
Answer:
loss=B.price-S.price
$28899-$17580=$11319
Percentage profit=profit/B.price*100%
$11319/28899*100=$385.20
Step-by-step explanation:
Find the lateral surface area of the triangular prism. refer to your staar 8th grade math reference sheet for the appropriate formula. question 8 options: 90 in2 110 in2 120 in2 130 in2
The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
What is the lateral surface area of the triangular prism?The lateral surface area of the triangular prism is the product of the perimeter of the base and length.
L = perimeter of the base × length.
The side of the base is given as 7in, 3in, and 3in
and the length is 10in
The lateral surface area of the triangular prism = perimeter of the base × length.
L = (7in + 3in + 3in) 10
L = 13 × 10
L = 130 in sq.
Hence, The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
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Answer:
130 ig
Step-by-step explanation:
Which statement illustrates the distributive property?
3(4+5) = 3(4)+5
3(4+5)-3(4)+ 3(5)
3[(4)(5)] - 3(4)+3(5)
3[(4)(5)] = [ 3(4)][3(5)]
Answer:
3(4+5)=3(4)+3(5)
Hope it helps
Step-by-step explanation:
Which of the triangles shown are scalene triangles?
A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
What is a Scalene Triangle?A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.
This means that any two sides or two angles of a scalene triangle must not be equal.
Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
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Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3
d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3
f) cuboid volume = l*b*h = 44*19= 836 in^3
e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3
Select the correct answer from the drop-down menu. consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. the values 11, 31, 22, and 12 constitute a random sample drawn from the data set. the sample mean is more than the population mean by .
The correct answer from the drop-down menu is 3.5.
What is the mean value?The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.
Therefore the population mean is the sum of the 12 data set values divided by 12
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.
Therefore the population mean
= 186/12
= 15.5.
The sample mean is given by the sum of the 4 sample values divided by 4
11 + 31 + 22 + 12
Sum = 76.
Therefore the sample mean
= 76/4
= 19.
The sample mean is more than the population mean by
= 19 - 15.5
= 3.5.
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A squared garden has am area of 81 squared meters what is the permiter of this garden
Answer:
9 meters
Step-by-step explanation:
just find the square root of 81 and it gives you the number 9
Solve for x. Round to the nearest tenth, if necessary.
Answer:
We need to use the sine of 17 degrees to find x. Our proportion is sin(17 degrees)=x/9.3. Multiply both sides by 9.3 and we get 9.3sin(17)=x. Using a calculator, we get about 2.7.
"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples
Answer:
Not true.
Step-by-step explanation:
A rational function is like P(x) / Q(x) where P and Q are polynomials.
Examples would be x^2 / (x^2 - 2) and x^2 / (x^2 + 2).
Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.
The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this is all real numbers , and no asymptotes.
