What is the slant height of the cone?

Answer:

Step-by-step explanation:

Nathan invented a robotic bug when can crawl 6cm in 24 secs

so, to crawl 1cm it would take (24÷6) secs, i.e, 4secs

therefore, to crawl 42cm the bug would take (42×4) secs = 168 secs

So, to crawl forty-two centimeters the bug would take 168 secs or, 1min 48 secs.

Assuming money be invested at 4% per year compounded annually and based on the present values of the two payments, it would be better to choose paying Rs. 120,000 at the end of 9 years.

The present value of an investment is the future value discounted to the present at a compounded interest rate.

The formula for finding the present value is PV = FV x 1/(1+r)^n.

Where:

PV = present value

FV = future value

r = rate of return

{n} = number of periods.

We can also determine the present value using an online finance calculator as follows:

N (# of periods) = 4 years

I/Y (Interest per year) = 4%

PMT (Periodic Payment) = $0

FV (Future Value) = Rs. 100,000

Results:

Present Value (PV) = Rs. 85,480.42

Total Interest = Rs. 14,519.58

N (# of periods) = 9 years

I/Y (Interest per year) = 4%

PMT (Periodic Payment) = 0

FV (Future Value) = Rs. 120,000

Results:

Present Value (PV) = Rs. 84,310.41

Total Interest = Rs. 35,689.59

Thus, comparing the present values of the two payments shows that Mrs. Gurune should choose the payment of Rs. 120,000 at the end of 9 years.

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The parametric equation that represents the same path as the given parametric equation is Option A.

A parametric equation is an equation where the value of x variable given in terms of theta is also expressed in y variable in terms of the same parameter theta.

Given that:

where;

The pair of (x and y) are called parametric equations.

At any given theta (θ), we can substitute it into the equation to determine the value of x and y.

Now, the cartesian form of the parametric equation will help us to determine if the parametric equation are represented in the same path.

The cartesian form is the equation with just x and y whereby the parameter is eliminated.

So, from the given equation;

x = 3 + cos θ

y = 2 sin θ

cos θ = x - 3

sin θ = y/2

We know from trigonometry identity that:

we can eliminate the parameter by saying:

From the given options, Option A represents the same path as the given parametric equation.

This is because:

x = 3 + cos 2 θ

y = 2sin 2 θ

cos 2θ = 3 - x

sin2θ = y/2

Eliminating the parameter, we have:

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Answer:

10

Step-by-step explanation:

10x²-14x+k = 0

x1 = sin a

x2= cos a

x1+x2 ≤ 2

x1. x2 ≤ 1 => k/10 ≤ 1

k ≤ 10

so the value of k should be 10

Answer:

4.8

Step-by-step explanation:

Step-by-step explanation:

2+5=7 = 19-3+3=13

5-3=2

6+5=11-21+3= -33

8+5= 13= 1

4+5= 9

The system of equations that does not satisfy the ordered pair is

6m -21n = -33  

9m + 4n = 5

3m = 9 + 6n

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the ordered pair ( m , n ) = ( 5 , 3 )

The value of m = 5

The value of n = 3

Now , the equation will be

a)

The equation is

2m = 19 - 3n

Substituting the values , we get

2 x 5 = 19 - 3 x 3

10 = 19 - 9

10 = 10

The equation satisfies for the ordered pair

b)

The equation is

m - n = 2

Substituting the values , we get

5 - 3 = 2

2 = 2

The equation satisfies for the ordered pair

c)

The equation is

6m -21n = -33

Substituting the values , we get

6 x 5 - 12 x 3 = -33

30 - 36 = -33

-3 = -33

The equation does not satisfy the ordered pair

d)

The equation is

8m = −23 + 21n

Substituting the values , we get

8 x 5 = -23 + 21 x 3

40 = -23 + 63

40 = 40

The equation satisfies for the ordered pair

e)

The equation is

4m − 3n = 11

Substituting the values , we get

4 x 5 - 3 x 3 = 11

20 - 9 = 11

11 = 11

The equation satisfies for the ordered pair

f)

The equation is

2m + 5 = 5n

Substituting the values , we get

2 x 5 + 5 = 5 x 3

10 + 5 = 15

15 = 15

The equation satisfies for the ordered pair

g)

The equation is

9m + 4n = 5

Substituting the values , we get

9 x 5 + 4 x 3 = 5

45 + 12 = 5

57 = 5

The equation does not satisfy the ordered pair

h)

The equation is

3m = 9 + 6n

Substituting the values , we get

3 x 5 = 9 + 6 x 3

15 = 9 + 18

15 = 27

The equation does not satisfy the ordered pair

Hence , the equations 6m -21n = -33  ,  9m + 4n = 5 and 3m = 9 + 6n   does not satisfy the given ordered pair ( m , n ) = ( 5 , 3 )

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Answer:

C

Step-by-step explanation:

Convert to improper fraction and multiply them, then convert back to mixed fraction :)

Answer:

C .      The answer can be simplified but its not on here for some reason.

Step-by-step explanation:

6 2/6 x 1 1/2

(6 x 6) + 2 = 38/6

(1 x 2) + 1 = 3/2

38/6 x 3/2 = 114/12

114 ÷ 12 = 9 6/12.

9 6/12 = 9 3/6 = 9 1/2.

C

Again it can be simplified buts it not on here for some reason.

Answer:

A

Step-by-step explanation:

when you look, you see the y value is always bigger by 2 than the x value.

so, the function is clearly to take the x value, add 2 to it and deliver this as the functional result (y value).

only A fits.

∠X = 89°, ∠Y = 90°, ∠Z = 40° ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

→ (2b+6)+(3b-1)=90----> 5b+5=90----> 5b=85----> b=17°

→ ∠Z=2b+6---- 2*17+6-----> ∠Z=40°

→ ∠Y=3b-1---> ∠Y=3*17-1---> ∠Y=50°

angle Y and W are supplementary angles

so

→ ∠Y+∠W=180---------> ∠W=180-∠Y------> ∠W=180-50----> ∠W=130°

angle X and Z are supplementary angles

so

→ ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

Therefore, the answer is

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

P(B) = 0,35

Step-by-step explanation:

P(B) = P(A and B) divided by P(A)

Answer:

Step-by-step explanation:

4/mx

Answer:

Step-by-step explanation:

This is a SAS (side, angle, side) Triangle.

\(a^2=b^2+c^2-2bc*cosA\)

\(a^2=61^2+63^2-2(61)(63)*cos(142)\)

\(a^2=3721+6969-2(61)(63)*cos(142)\)

\(a^2=3721+6969-2(3843)*cos(142)\)

\(a^2=3721+6969-7686*cos(142)\)

We know that cos145=-0.8 so let's just assume that cos142 also is -0.8 hehehehe

\(a^2=3721+6969-7686*-0.8\)'

\(a^2=3721+6969+6148.8\)

16838.8

Square root that too (very roughly), 130.

For every 1 part blue paint, there  

✔ is 1 part

yellow paint.

Jamaal is not happy with the color and adds 1 more part of blue paint. This will make the green paint more  

✔ blue

.

To calculate the distance between two points:

We apply the following formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

We substitute data and solve:

\(\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }\)

The distance between the points (−3,− 8), (6, – 8) is 9.

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

The only value of k that allows us to write √50 + √k as a single term is

k = 25.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

To be able to write the expression √50 + √k as a single term, we need to find a perfect square that is a factor of both 50 and k.

Prime factorizing 50, we get 50 = 2 * 5².

Since 50 contains a factor of 2, any perfect square factor of 50 must also contain a factor of 2. The only perfect square factor of 50 that contains a factor of 2 is 2*5² = 50 itself.

Now we need to find a perfect square that is a factor of k and contains a factor of 5. This can be done by prime factorizing k and seeing if any of the factors can be squared and still contain a factor of 5.

Let's try some values of k:

If k = 5, then √k = √5, which is not a perfect square, so it won't work.

If k = 25, then √k = 5, which is a perfect square that contains a factor of 5, so we can write √50 + √25 as 5√2 + 5 = 5(√2 + 1).

If k = 125, then √k = 5√5, which is not a perfect square, so it won't work.

Therefore, the only value of k that allows us to write √50 + √k as a single term is k = 25.

So, √50 + √25 can be written as 5(√2 + 1).

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Answer:

its y=x+7

Step-by-step explanation:

Angle WZY is 50 degrees, angle WZX is also 50 degrees, and angle XZW is 160 degrees.

What is the inscribed angle theorem?

The inscribed angle theorem, also known as the central angle theorem, states that an angle formed by two chords in a circle is half the measure of the arc they intersect, or subtend, inside the circle.

To find all other angles in the circle with quadrilateral WXYZ inscribed in it and WY going through the center Q:

Since WY goes through the center, angle WYZ and angle WXY are both right angles (90 degrees)

By the inscribed angle theorem, angle WZY is equal to half the measure of the arc WX.

Since angle XYZ is given as 50 degrees, the measure of the arc WX is 2 times 50 degrees, which is 100 degrees.

Therefore, angle WZY is 50 degrees.

By the same logic, angle WZX is also 50 degrees.

Since angles WYZ and WXY are right angles, angles XZY and WZX are also right angles.

Finally, we can find angle WZY + angle XYZ + angle XZW + angle WZX = 360 degrees (sum of angles in a quadrilateral), and we can solve for angle XZW which is 160 degrees.

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Answer:

 7.5 min for each assignment

Step-by-step explanation:

1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:

15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60

Or we could multiply one hour, or 60 minutes, by  3 /4 .

    60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45

Three fourths of an hour is 45 minutes.

to find  time for each assignment =45/6

          7.5 min

Try this opttion

Step-by-step explanation:

\(1. \ F=m*a; \ = > \ F=740[\frac{m}{s^2} ]*6[kg]=4440[N];\)

\(2. \ F=m*a; \ = > \ F=82[kg]*450[\frac{m}{s^2}]=36900[N]=36.9[kN];\)

\(3. \ F=m*a; \ = > \ a=\frac{F}{m}; \ = > \ a=\frac{1800}{53}=33.9623[\frac{m}{s^2}].\)

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Given that we are unable to rank a fractional number of photographs, we know that x and y must be non-negative integers. So here are the disparities:

x ≥ 0

y ≥ 0

When we combine all the disparities, we get:

$0.90x + $1.90y ≤ 30

x + y ≥ 14

x ≥ 0

y ≥ 0

These are the possible inequalities that the Vasquez family may order while staying within their means for the quantity of each size of the photo.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Hence, inequality emerges from a lack of balance.

When two quantities are equal, we use the sign "=," and when they are not equal, we use the symbol "," which stands for "not equal." The first value may be greater than (>), less than (), greater than equal to (), or less than equal to () the second value if the two values are not equal.

The words "inequality" and "inequality," which mean "unequal, unlike, distinct," and "changeable," respectively, are derived from Old French and Latin, respectively. The magnitude, number, and intensity of two quantities or expressions are compared using this phrase.

from the question:

Let x be the total number of 5 by 7-inch and 8 by 10-inch photographs, respectively.

One 5 by 7-inch photo costs $0.90, hence the price for many 5 by 7-inch photos is $0.90x.

One 8 by 10-inch photo costs $1.90, making y 8 by 10-inch photos cost $1.90 each.

The cost of the pictures as a whole must be under $30, thus here is the disparity:

$0.90x + $1.90y < $30

The inequality is that the family must order at least 14 points:

x + y ≥ 14

Given that we are unable to rank a fractional number of photographs, we know that x and y must be non-negative integers. So here are the disparities:

x ≥ 0

y ≥ 0

When we combine all the disparities, we get:

$0.90x + $1.90y ≤ 30

x + y ≥ 14

x ≥ 0

y ≥ 0

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Answer:correct answers are 3.96

2.32

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

-7u^2 + 4u + 6 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -7, b = 4, and c = 6. Substituting these values, we get:

u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)

u = (-4 ± sqrt(136)) / (-14)

u = (2 ± sqrt(34)) / 7

Therefore, either:

cos(θ) = (2 + sqrt(34)) / 7

or:

cos(θ) = (2 - sqrt(34)) / 7

Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:

θ = arccos((2 + sqrt(34)) / 7)

θ = arccos((2 - sqrt(34)) / 7)

Using a calculator, we find:

Answer:

I believe that it is the first one. N+89=12.

the answer is 89-n=12

Answer:

How many siblings do you have?

I hope this helps you out :)

Answer:

hope it may help you

Step-by-step explanation:

n and n+14 are the numbers or you can use n and n-14; either way

n+n+14=58

2n+14=58

2n=58-14

2n=44

n=22 and n+14=22+14=36

22 and 36 are the numbers

or,...

58/2=29

29 and 29

28 and 30

27 and 31

26 and 32

25 and 33

24 and 34

23 and 35

22 and 36 answer

Answer:49

Step-by-step explanation:

49 min =10 second

2 hours =10x2=20

12x10=200 seconds

49 min x10=490

490 divide 10=49

49x2=49