it is given that
H=(x:x

The length of a leg of the given isosceles triangle is 17 units.

Let us suppose the length of the equal legs of the given isosceles triangle a, and the base length of the given triangle be b.

Given that the perimeter of the isosceles triangle is 50

P = 50 units.

a + a + b = 50 units

2a + b = 50

b = 50 - 2a __(eq.1)

The following diagram represents all measures: (to see in the bottom)

Given that the length of the altitude to its base is 15 units.

h = AD = 15 units.

In the right triangle ABD, according to the Pythagorean theorem:

\((AB)^2=(BD)^2+(AD)^2\)

\(a^2=(\frac{b}{2} )^2+15^2\)

\(a^2=\frac{b^2}{4} +225 ------(eq.2)\)

From Equation (1) and (2)

\(a^2=\frac{(50-2a)^2}{4}+225 \\\\a^2=\frac{2500+4a^2-200a}{4}+225\\ \\a^2=\frac{2500+4a^2-200a+900}{4}\\ \\a^2=\frac{3400+4a^2-200a}{4}\\\\\\\)

\(4a^2=3400+4a^2-200a\\\\0=3400-200a\\\\200a = 3400\\\\a = \frac{3400}{200}\\ \\a=17\)

Hence, the length of a leg of the given isosceles triangle is 17 units.

Learn more about Isosceles triangle at:

https://brainly.com/question/28412104

#SPJ4

Answer:

cos(30)

Step-by-step explanation:

Answer:

sin(15)

Step-by-step explanation:

Answer:7

Step-by-step explanation:

To find the median you need to first put the number in order from least to greatest this would be 2, 4 ,5, 7, 7, 7, 8

next you have to find the number in the middle

That is your median, 7 is your median.

Answer: Perimeter of given square:40,Area of given square:100

Perimeter of Dilated square:200

Area of Dilated square: 2500

Step-by-step explanation:

You multiply the two items together.

For instance, if there were 10 students and each painted 3 pictures, then we'd have 10*3 = 30 pictures total. In this case, the "10" is replaced with a more general term "s" as a placeholder.

Answer:

g(x) = (x+18) (x-3)

Step-by-step explanation:

x²-3x+18x-54

x(x-3)+18(x-3)

(x-3)(x-18)

The function equivalent to \(g(x) = x^{2} +15x-54\) is \((x - 3) (x- 18)\).

Here, the function is given as;

\(g(x) = x^{2} +15x-54\)

What is Function?

A function is defined as a relation between a set of inputs having one output each.

Now, function is given as;

\(g(x) = x^{2} +15x-54\\g(x) = x^{2} +18x-3x-54\\g(x) = x(x+18)-3(x+18)\\g(x) = (x+18)(x-3)\)

Hence, The function equivalent to \(g(x) = x^{2} +15x-54\) is \((x - 3) (x- 18)\).

Learn more about the Function visit:

https://brainly.in/question/610635

#SPJ6

Answer:

26

Step-by-step explanation:

APPLY PEMDAS:

Evaluate the numbers in the parentheses before evaluating the whole equation.

\((9+33-6)-3-7\\\\36 - 3 -7\\\\33-7\\\\\boxed{26}\)

Hope this helps.

Answer:

It should be d, The bases do not have the same area because the volumes are not the same.

Step-by-step explanation:

did it on the unit review test

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

The volume of a cone is given by the formula:

A = πr²h/3

The volume of a cylinder is given by the formula:

A = πr²h

It is given that the height of both the cylinder and the cone is the same.

This means that the only way variable that influences the volume is the radius of the base.

The volume of the cylinder is three times the volume of the cone when the radius and height are equal.

But the volume of the cylinder is two times the volume of the cone in the given question.

This means that they have different radii which means that the bases are different.

Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.

Learn more about cylinders and cones here: https://brainly.com/question/331787

#SPJ2

\(\huge\text{Hey there!}\)

\(\huge\text{3x - 9x + 3y = 1}\\\huge\text{\boxed{\rightarrow} -6x + 3y = 1}\\\huge\text{\boxed{\rightarrow} -6x + 3(3.2) = 1}\\\huge\text{\boxed{\rightarrow} -6x + 9.6 = 1}\)

\(\huge\textsf{SUBTRACT \underline{\underline{9.6}} to BOTH SIDES}\\\huge\text{-6x + 9.6 - 9.6 = 1 - 96}\\\\\\\huge\textsf{DIVIDE \underline{\underline{-6}} to BOTH SIDES}\\\\\huge\boxed{\dfrac{-6\mathsf{x}}{-6}= \dfrac{-8.6}{-6}}\)

\(\huge\textsf{SIMPLIFY ABOVE \& YOU HAVE YOUR}\\\huge\textsf{RESULT OF THE X-VALUE}\\\\\\\boxed{\huge\boxed{\huge\textsf{x = \bf 1.433333 or } \mathsf{x = \bf \dfrac{8.6}{6}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}\)

The coefficient of x^4 y^7 in the expansion of (x y)^11 is:

(11 choose 4) = 330.

The binomial expansion of (x y)^11 is given by the formula:

(x y)^11 = (11 choose 0) x^11 y^0 + (11 choose 1) x^10 y^1 + (11 choose 2) x^9 y^2 + ... + (11 choose 11) x^0 y^11

To find the coefficient of x^4 y^7 in this expansion, we need to look at the term (11 choose 4) x^4 y^7. The coefficient of this term is given by the binomial coefficient (11 choose 4), which is calculated as:

(11 choose 4) = 11! / (4! * (11-4)!) = 330

Therefore, the coefficient of x^4 y^7 in the expansion of (x y)^11 is 330.

For more questions like Binomial click the link below:

https://brainly.com/question/13870395

#SPJ11

Position vs. time graph is a graph that shows the position of an object over time. It can be a straight line or a curved line depending on the motion of the object.

What is graph ?

A graph is a mathematical structure used to represent relationships between objects. In a graph, objects are represented by vertices (or nodes) and relationships are represented by edges (or arcs). Graphs can be used to model a wide variety of real-world systems, including networks of roads, social networks, and the internet.

The position vs. time graph is a visual representation of an object's motion, where the position of the object is plotted on the y-axis and the time it took to reach that position is plotted on the x-axis. The graph helps to show the relationship between the position and time of an object in motion. The line on the graph can be either straight or curved, depending on the type of motion the object is undergoing. If the object is moving at a constant speed, the line will be straight. If the object is accelerating or decelerating, the line will be curved.

Position vs. time graph is a graph that shows the position of an object over time. It can be a straight line or a curved line depending on the motion of the object.

To learn more about graph visit : brainly.com/question/17267403

#SPJ4

Answer:

∠A = 126°

Step-by-step explanation:

Supplementary angles are angles that add up to equal 180°

Given that ∠B = 54°, we can subtract 54° from 180°.

180° - 54° = 126°

∠A = 126°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Plot a point at (0, -9) Then go up five units and to the right 3 units.That will give you the line you are looking for

Answer:

8: C

9: D

10: C

11: D

Step-by-step explanation:

On number 8, the pattern is by starting from 3, and squaring it. Then you take that square and square it again. So 3 squared is 9, and then you square 9 which is 9 times 9 giving you 81. Then you square 81 giving you 6561.

9: Negative exponents work by flipping the number upside down, and then doing normal exponential work on the now denominator.

If the number is 5 to the power of -3, you are flipping 5 to 1/5 and then doing 5 to the power of 3 which is 5x5x5 giving you 125. Therefore the answer would be 1/125.

10 is the same thing as number 9 except backwards, so you flip 1/2^3 to 2^-3

11 is similar, except you have 3.471 times 1/10000

So you add 4 zeros in front of the 3.471 turning it into 0.0003471

The velocity with which the snowball strikes the ground and  10.0 meters away from the edge of the barn.

We can start by breaking the velocity of the snowball into its horizontal and vertical components.

The horizontal component of velocity remains constant throughout the motion, while the vertical component changes due to the effect of gravity.

The horizontal component of velocity is given by:vx = v cosθ, where v is the initial speed of the snowball and θ is the angle of the roof.

Substituting the given values, we get: vx = 7.00 cos40° = 5.34 m/s

The vertical component of velocity is given by: vy = v sinθ

Substituting the given values, we get: vy = 7.00 sin40°  = 4.53 m/s

We can use the equation of motion in the vertical direction to find the time it takes for the snowball to reach the ground: y = vy*t + (1/2)g\(t^2\), where y is the initial height of the snowball, g is the acceleration due to gravity, and t is the time taken to reach the ground.

Substituting the given values, we get:14.0 m = 4.53 m/s * t + (1/2)*9.81 m/s^2 *\(t^2\)

Solving this equation for t, we get:

t = 1.88 s

Now, we can use the equation of motion in the horizontal direction to find the horizontal distance traveled by the snowball:

x = vx *t

Substituting the values of vx and t, we get:x = 5.34 m/s * 1.88 s = 10.0 m

To Know more about velocity here:

https://brainly.com/question/25854506

#SPJ11

Step-by-step explanation:

Answered 1 year, 9 months ago

Given,

Principal, P =Rs.10000,  Rate, R = 8% per annum compounded half yearly for 1 year. 

Now, There are two half years in a year. Therefore compounding has to be 2 times. 

And rate = half of 10% = 5% half yearly.

Therefore, the required amount =   = Rs. 10816

And Compound Interest, C.I. = Amount - Principal = Rs. (10816 - 10000) = Rs. 816.

hope it helps you

In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.

A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.

Given,

You want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model.

I immediately think of grouping delays into ranges such as those under 40 minutes, those between 40 minutes and 2 hours, those between 2 hours and 10 hours, and those above 10 hours. But doing so requires the use of a classification model, such as logistic regression. We frequently consider whether there will be a delay rather than how long it might last when thinking about delays. In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.

To learn more about linear regression, visit:

https://brainly.com/question/14313391

#SPJ4

Answer:

94, 188, 564

Step-by-step explanation:

let x be the first part then the second part is 2x and third part is 3 × 2x = 6x

then

x + 2x + 6x = 846 , that is

9x = 846 ( divide both sides by 9 )

x = 94

2x = 2 × 94 = 188

6x = 6 × 94 = 564

Answer:

2 more

Step-by-step explanation:

you can only get 1 of everything 2 times

this is - the outfit she already made

3 - 1 = 2   - 1 = 1

7 - 1 = 6   - 1 = 5

4 - 1 = 3   - 1 = 2

2 - 1 = 1    - 1 = 0

Answer:

Step-by-step explanation:

A 45-45-90 triangle, also known as an isosceles right triangle, is a special right triangle where two of its three sides are congruent, and the third side is the hypotenuse. In other words, the triangle has two 45-degree angles and one 90-degree angle.

The ratio of the sides of a 45-45-90 triangle is always 1:1:√2. That is, the length of each leg (the two congruent sides) is equal to x, and the length of the hypotenuse (the third side) is equal to x√2, where x is any positive number.

Answer:

I'm not that sure but I really feel like it's 15

Answer:

The perimeter of figure a is 44 inches, the perimeter of figure b is 72 inches.

Step-by-step explanation:

The sides of figure a is 8; 2; 3; 12; 2; 12; 3; 2, to get the perimeter, add all the sides together, which will be 8 + 2 * 2 + 3 * 2 + 12 * 2 = 8 + 4 + 6 + 24 = 12 + 30 = 42 inches. The sides of figure b is 3; 3; 3; 3; 13; 13; 5; 5; 5; 5; 7; 7, to get the perimeter, add all the sides together, which will be 3 * 4 + 13 * 2 + 5 * 4 + 7 * 2 = 12 + 26 + 20 + 14 = 32 + 40 = 72 inches.

Answer:

a) 44

2 + 8 + 2 + 8 + 12 + 12 = 44

b) 72

13 + 13 + 3 +3 +3 +3 +5 +5 +5 +5 +7 +7 = 72

Step-by-step explanation:

Answer:

The least number of dinners that manny can make without any supplies leftover is 6 dinners

Step-by-step explanation:

Dinner = 1 box of pasta + 1jar of sauce

pasta is sold in package of 6 boxes

sauce is sold in in packages of 3

jars

what is the least number of dinners that manny can make without any supplies leftover?

Find the lowest common multiple of 6 boxes and 3 jars

6 boxes = 6, 12, 18, 24, 30, 36, 42,48

3 jars = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

The lowest common multiple of 6 boxes and 3 jars = 6

The least number of dinners that manny can make without any supplies leftover is 6 dinners

Using:

Pasta = 6 dinners / 6 boxes

= 1 package

Pasta = 1 package

Sauce = 6 dinners / 3 jars

= 2 package

Sauce = 2 package

The equation to  the given graph is y= (1/2) * 2ˣ. So correct option is B.

A parabola is a type of curve that results from the intersection of a cone with a plane that is parallel to one of its sides. It is a conic section, which means it is a geometric shape that can be formed by cutting a cone with a plane.

The shape of a parabola is similar to that of a U-shaped curve, but it is symmetric around a vertical line called the axis of symmetry. The point where the axis of symmetry intersects the parabola is called the vertex.

The equation of a parabola can be written in different forms, but the most common form is:

y = ax^2 + bx + c

where "a", "b", and "c" are constants that determine the shape, position, and orientation of the parabola. If "a" is positive, the parabola opens upward, and if "a" is negative, it opens downward.

We can observe that the given graph passes through the points (-1,1), (0,2), (1,4), (2,8). This suggests that the graph is a parabola that opens upwards.

We can use the general form of a quadratic equation to write the equation of the parabola in the form y = ax² + bx + c, where a, b, and c are constants. Since the parabola opens upwards, we know that the coefficient of the x² term is positive.

To find the values of a, b, and c, we can substitute the coordinates of the given points into the equation and solve the resulting system of equations.

Using the point (-1,1), we get:

1 = a(-1)² + b(-1) + c

1 = a - b + c

Using the point (0,2), we get:

2 = a(0)² + b(0) + c

2 = c

Using the point (1,4), we get:

4 = a(1)² + b(1) + c

4 = a + b + c

Using the point (2,8), we get:

8 = a(2)² + b(2) + c

8 = 4a + 2b + c

Substituting c = 2 from the second equation into the third and fourth equations, we get:

4 = a + b + 2

8 = 4a + 2b + 2

Simplifying these equations, we get:

a + b = 2

2a + b = 3

Solving for a and b, we get:

a = 1

b = 1

Therefore, the equation of the parabola is y = x² + x + 2.

To check which of the given options matches this equation, we can simplify the equation:

y = x² + x + 2

y = (x + 1/2)² + 7/4

This shows that the given parabola is a vertical shift of the standard parabola y = x² by 7/4 units upward.

Out of the given options, the only equation that matches this form is option B, y = (1/2) * 2ˣ. Therefore, the answer is B) y= (1/2) * 2ˣ.

To know more about equation visit;

https://brainly.com/question/4074088

#SPJ1

Answer:

12

Step-by-step explanation:

Multiply both sides by 4

Answer:

X=12

Hope it helps.

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

Learn more about  volume from

https://brainly.com/question/27710307

#SPJ11

Answer:

y=3

Step-by-step explanation:

Multiply -2 by 0 to get 0. Now to get y alone, divide 6 by 2 to get the answer y=3.

Answer: 219.91cm

Step-by-step explanation:

C=πd

π·70

=219.91149cm