7/3a-8/5+4/15a so all of them are fractions and "a" is a variebal.

The triangle which could be drawn as per the given description is only option b. isosceles triangle with measure 20° and 80°.

An acute triangle with sides measuring 7, 4, and 2

In an acute triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side .

According to the Pythagorean Theorem.

Here, 7² is greater than (4² + 2²).

So this is not possible.

An isosceles triangle with angles measuring 20° and 80°

In an isosceles triangle, two angles are equal, so if two angle measures 20° and 80°,

Then the third angle measures is

180° - 20° - 80°= 80°

Two angles are congruent implies two sides are congruent.

It is possible to form isosceles triangle.

An obtuse triangle with sides measuring 5, 10, and 15

In an obtuse triangle, the longest side is opposite the largest angle.

Sum of squares of two shorter sides is less than square of longest side according to Pythagorean Theorem.

However, 15²is greater than (5²+ 10²),

so this is not possible.

A scalene triangle with angles measuring 110° and 35°

The sum of the angles of any triangle is 180°,

so the third angle must measure

180° - 110° - 35° = 35°.

Two angles are congruent so it is isosceles triangle.

It is not possible to form scalene triangle.

Therefore, the triangle possible to draw as per the given condition is only option b. isosceles triangle with measure 20° and 80°.

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The discriminant of the given quadratic equation is zero, which means that it has two real solutions.

What is a quadratic equation?

The polynomial equations of degree two in one variable of type

f(x) = ax² + bx + c = 0 and with a, b, c, ∈ R and a ≠ 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x).

The discriminant's value reveals how many roots f(x) has:

- The quadratic function has two unique real roots if b² - 4ac > 0, otherwise it does not.

The quadratic function has one repeating real root if b² - 4ac = 0.

- The quadratic function has no true roots if b² - 4ac < 0.

The given quadratic equation is:

2x² - 4x = -2

2x² - 4x + 2  = 0

The general equation is :

ax² + bx + c = o

where discriminant is found using the formula b² - 4ac

Comparing the equations, we can write

a = 2

b = -4

c = 2

b² - 4ac = (-4)² - 4*2*2 = 16 - 16 = 0

Since the discriminant is equal to zero, it suggests that the quadratic equation has two equal real and rational roots.

Therefore the discriminant of the given quadratic equation is zero, which means that it has two real solutions.

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Answer:

I dont know for sure but i think its 2,3,4,5,and 6

Answer:

Step-by-step explanation:

The area and perimeter of 2D shape of Rectangle is 6.8448cm and 11.04cm repectively. The area and perimeter of 2D shape of circle is 5.0761cm and 8.0028cm respectively.

2D shape of Rectangle with dimensions of Length is3.72 cm and Width is 1.84 cm. we can find the area of rectangle with formula Area = length x width and the formula of perimeter is Perimeter = 2(length + width).

Area = length x width = 3.72 cm x 1.84 cm = 6.8448 square cm (rounded to four decimal places)

Perimeter = 2(length + width) = 2(3.72 cm + 1.84 cm) = 11.04 cm

2D shape of Circle with dimension of diameter of 2.54 cm. we can find the area with formula Area = πr^2 and circumference with formula Circumference = 2πr

Radius = diameter / 2 = 2.54 cm / 2 = 1.27 cm

Area = πr^2 = π(1.27 cm)^2 = 5.0761 square cm (rounded to four decimal places)

Circumference = 2πr = 2π(1.27 cm) = 8.0028 cm (rounded to four decimal places)

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____The given question is incomplete, the complete question is given below:

Calculating area and circumference or perimeter of a 2D shape. Use your measurements to calculate the area and circumference of the circle and to calculate the area and perimeter of the rectangle. Rectangle Length: 3.72 cm Width: 1.84 cm  Circle : 2.54 cm Diameter of circle

Answer:

slope = 4

points on graph = (0,0), (1,4)

Step-by-step explanation:

line going through quadrants 1 and 3. Straight line.

Answer:

A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F

Step-by-step explanation:

A regression model is in the form :

y = mx + c

With m being the slope = rate of change

In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x

The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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step 1

Divide 2250 degrees by 360 degrees

so

2,250/360=6.25

that means

6 complete circles and 0.25 circle

0.25 circle is equal to 90 degrees and she is facing East

If figure the skater is facing north when she begins to spin to her right. She spins at 2250 degrees. She faces the east direction when she finishes her spin.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that, a figure skater is facing north when she begins to spin to her right. She spins at 2250 degrees.

Since one rotation of the circle form 360 degree.In order to find the angle when she finishes her spin is,

=2,250/360

=6.25

6.25 shows that 6 complete circles and 0.25 circles and 0.25 circle is equal to 90 degrees and she is facing East.

Thus, if figure the skater is facing north when she begins to spin to her right. She spins at 2250 degrees. She faces the east direction when she finishes her spin.

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The coordinates of the vertices E (-8,9), F(-4,9), G(-4,2), and D(2,-8) when rotated 90° counterclockwise around the origin of the new coordinates will be E'( - 9, - 8 ), F'( - 9, - 4 ), G'( - 2, - 4 ), and D'( 8, 2 ).

A point A( x, y ) becomes A' when a point is rotated 90 degrees counterclockwise about the origin ( - y, x ). To put it another way, flip x and y, and make y negative.

Therefore, when point E( - 8, 9 ) is rotated 90° counterclockwise around the origin will be:

E'( - 9, - 8 )

When point F( - 4, 9 ) is rotated 90° counterclockwise around the origin the new point will be:

F'( - 9, - 4 )

When point G( - 4, 2 ) is rotated 90° counterclockwise around the origin the new point will be:

G'( - 2, - 4 )

When point D( 2, - 8 ) is rotated 90° counterclockwise around the origin the new point will be:

D'( 8, 2 )

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The net area of the paper needed is 4.125 square feet.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.

Therefore the total surface area is,

= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).

= 2(0.75 + 1.125 + 0.375).

= 2(2.25).

= 4.5 square feet.

Now, She left one of the bases uncovered which have an area of 0.375 square feet.

Therefore, the net amount of paper needed is = 4.5 - 0.375.

= 4.125 square feet.

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The graph of f(x) relate to its parent function by B. The parent function has been translated up.

Given that

f(x) = 3x +2 +4

When evaluated, we have

f(x) = 3x + 6

The parent function of the above is

f(x) = 3x

When f(x) = 3x is compared to f(x) = 3x + 6, we have

Difference = 6

This means that the parant function is translated up by 6 units

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Answer:

3.75 or 3 3/4

Step-by-step explanation:

Answer:

3.75 or 3 3/4

Step-by-step explanation:

2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75

Hope it helps!

Answer:

19 feet

Step-by-step explanation:

First we must make the scale make sense, that is, it is in the same unit, therefore, we will pass 3 inches to feet, we know 1 foot is 12 inches, therefore:

3 inches * 1 foot / 12 inches = 0.25 feet

Which means that the real equivalence is 0.25: 8, now they are 7 inches, therefore:

7 inches * 1 foot / 12 inches = 0.583333

Now, we calculate the number of actual feet using the scale.

0.583333 * 8 / 0.25 = 18.66 feet

that is to say that the length of the current Kitchen is 19 feet if we round

Angles in a triangle add up to 180 degrees

The value of x is 85 degrees

A triangle is a polygon which has  three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.

here, we have,

How to determine the value of x

The total  sum of angles for a triangle is 180 degrees.

So, we have:

x + 35 + 60 = 180

Evaluate the sum

x + 95= 180

Subtract 95 from both sides

x = 85

Hence, the value of x is 85 degrees

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Full question: (SAT Prep) Find the value of x. 35° 60° X

x=?​

Answer: 190208

Step-by-step explanation:

732 178 + 167 - 542 137 = 190208

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The given shape is a trapezoid with "bases" 15 and 45, and height 10. So its area is

(15 + 45)/2 • 10 = 300

Answer: 98 meter below

15.24 meters below

122 meters above

1629 meters above

Step-by-step explanation:

Answer:

754

Step-by-step explanation:

If the number in the one's place is 5 or greater, the number is rounded up to the next ten. If the number is less than 5, the number gets rounded down.

754 is the answer because it rounds down to 750 as it is, but if 1 was added to it, it'd be 755 which would round up to 760.

We can write the equation of a parabola in two different ways:

The standard form:

And the vertex form:

If the parabola has a minimum or a maximum depends on the leading coefficient (the coefficient of x²) or in both cases the coefficient a.

Let's see the cases:

If a is positive, the parabola opens upwards, so the parabola has a minimum.

If a is negative, the parabola opens downwards, so the parabola has a maximum

Answer:

mass = 9a^5

center of mass = \(\frac{7a}{12}, \frac{7a}{12}, \frac{7a}{12}\)

Step-by-step explanation:

Finding the mass of the solid E

given density function : p ( x,y,z ) = \(9x^2 + 9y^2 + 9z^2\)

Mass =   \(\int\limits^a_0 \int\limits^a_0 \int\limits^a_0 {9(x^2+y^2+z^2)} \, dx dydz\)   \(= \int\limits^a_0 \int\limits^a_0 {9(\frac{a^3}{3}+ay^2+az^2 )} \, dydz\)

         \(= \int\limits^a_0 {9(\frac{a^4}{3}+\frac{a^4}{3} +a^2z^2 )} \, dz\)  \(= \int\limits^a_0 {9(\frac{2a^4}{3}+a^2z^2 )} \, dz\)  \(= 9 ( \frac{2a^5}{3} + \frac{a^5}{3} )\)  

( taking limits as a and 0 )

hence Mass = 9 \((a^5)\)

finding the center of mass

attached below is solution

Answer: -3

Step-by-step explanation:

Answer:

43.6 has 3 significant figures.

Given:

The initial amount of water in the pond = 600 liters

The rate at which water is being added = 25 liters per minute

W represents the amount of water in the pond

T represents the number of minutes that water has been added

The equation that relates W to T is a linear equation where W is the dependent variable and T is the independent variable.

Recall that the general form of a linear equation is:

For the given problem;

m = 25 litres per minute

c = 600 litres

Hence, the required equation is:

The graph of the equation is shown below. A few points from the graph has been used to create a table for the graph

Answer:

Population

Step-by-step explanation:

In mathematics, when we talk about the people, places, or things under consideration, we are referring to the population. The Population is the entire sum of objects in a study. When a researcher wants to study factors that concern a particular set of people, places, or things, the group under study is the population. For example, the researcher might want to do a study on the amount of food consumed by Brazilian students in the year 2019. The Brazilian students represent the population, because they are the group of people being studied.

The population under study might sometimes be difficult to study as a whole. For example, the study of the entire Brazilian students might be cumbersome. In such cases, a sample can be drawn from the population and studied, or the population narrowed down a little more, so that it can be easily studied.

Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.