please help me with this it’s geometry

The triangle is only an acute triangle if C is the largest Side of the given triangle and c2 b2 + a2 is specified.

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

Given a condition c² < b² + a²

An acute triangle is a type of triangle in which all three internal angles of the triangle are acute. Acute triangles are also called acute-angled triangles

According to Pythagoras' theorem, the triangle is acutely angled if the square of the longest side is less than the sum of the squares of two smaller sides. Let 'a', 'b' and 'c' are the length of sides of a given triangle, in which side 'c' is longest, then the given triangle is acutely angled if c² < b² + a².

therefore, Only if C is the biggest Side of the given triangle and  c² < b² + a² is given then the triangle is an acute triangle.

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The following are the quotient as a fraction or mixed number;

4/5

1 ¼

2/5

2½

Quotient refers to the number resulting from the division of one number by another number.

4 divided by 5 = 4/5

5 divided by 4 = 5/4

= 1 ¼

12 divided by 30 = 12/30

= 4/10

= 2/5

30 divided by 12 = 30/12

= 5/2

= 2½

Therefore, the quotient can be written as a whole number, fraction or mixed number.

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Answer:

Coordinates are (5.4, 2.1)

Step-by-step explanation:

The two points are A(-3, -7) and B(9, 6)

The x distance from A to B = 9 - (-3) = 9 + 3 = 12

The y distance from A to B = 6 - (-7) = 6 + 7 = 13

7/10 of the x-distance = 7/10 x 12 = 84/10 = 8.4

7/10 of the y-distance = 7/10 x 13 = 91/10 = 9.1

For this point(let's call it C) to find absolute coordinates we have to add the x, y coordinates of point A

x-coordinate absolute value = -3 + 8.4 = 5.4

y-coordinate absolute value = -7 + 9.1 = 2.1

So the coordinates of the point C are (5.4, 2.1)

To check if this point is 7/10 of AB segment

Use the distance formula to find the distance between two points A(x1, y1) and B(x2, y2)

[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

Using this formula length AB =  17.7

Length AC = 12.384264 ≅ 12.4

12.4/17.7 = 0.70056 ≅ 0.7 = 7/10

Thus verified

Answer: The answer is 2 cubicles

Step-by-step explanation: To find how many cubicles are carpeted you must find what 1/4 of 8 is. In order to do that you must multiply 1/4 by 8.

To do this you must first turn 8 into 8/1 (they are both equal to the same value but it is easier to multiply in fraction form) and multiply it into 1/4

8 and 1 = 8 and 4 and 1 = 4, so you are left with 8/4 which is equal to 2

The diameter of the circular base is approximately 1.57 ft.

What is the circumference of a circle?​

The circumference of a circle is the total length of the arc of a circle. It is also known as the perimeter of the circle. The distance from the center to any point on the circle is called the radius of the circle.

If the barrel has a circular base and turns 26 times in being rolled up the ramp, that means the circumference of the circular base is 26 times the distance the barrel travels up the ramp. We know that the distance the barrel travels up the ramp is 130 feet, so we can set up the equation:

26 * C = 130 ft

where C is the circumference of the circular base.

To find the diameter, we know that the circumference of a circle is equal to pi times the diameter, or C = pi * D. So we can substitute this into the equation above:

26 * pi * D = 130 ft

To find the diameter, divide both sides by 26 * pi:

D = 130 ft / (26 * pi)

Using the value of pi = 3.14, we can calculate the diameter of the circular base:

D = 130 ft / (26 * 3.14) = 130 ft / 82.44 = 1.57 ft

Hence, The diameter of the circular base is approximately 1.57 ft.

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Achilles ran 2 minutes to reach the finish line.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Let d be the total distance in miles from the starting line to finish line.

Let t be the time taken to complete the distance by Achilles.

Speed = Distance / Time

Speed of Achilles = 13 mph

13 = d / t ⇒ t = d / 13

Speed of Turtle = 1 mph

In the same time t, Turtle is 2/5 of a mile behind Achilles.

1 = (d - 2/5) / t ⇒ t = d - 2/5

We have t = d / 13 and t = d - 2/5

d / 13 = d - 2/5

d = 13 (d - 0.4)

d = 13d - 5.2

12d = 5.2

d = 0.43333 mile

Now substitute the value of d in the equation t = d / 13,

t = 0.4333 / 13 = 0.03333 hour = (60 × 0.0333) minutes = 2 minutes

Hence the time taken to reach the finish line by Achilles is 2 minutes.

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The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided regarding the equations and graphs, the y-intercept are as follows:

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Answer:

the 10th room on the 6th floor

Step-by-step explanation:

I would guess that the 6 would be the floor number since is a whole number than the 10 would be the room on said floor because it after the 6.

If you were assigned to room 6.10, you would expect to find it in 6th floor and room number 10.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

Decimal points are sometimes used in hotel room numbers.

Any decimal number has whole part and fractional part.

Then whole part = number of floor.

Fractional part = number of rooms.

Then if number is 6.10,

then 6th floor and room number 10.

Therefore, 6th floor and room number 10.

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option C) The volume of the right cylinder is 1017.88 m² = 324π m²

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

The properties of cylinder are :

The radius of the cylinder = 6 m

Height = 9 m

The volume of the right cylinder is π(radius)²height

= π * 6² * 9 = 1017.88 m² = 324π m²

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Answer:

a = 9

Step-by-step explanation:

Given:

-4(a+2)-1 = -5a

Solve:

-4(a+2)-1 = -5a     << Distribute           {-4 × a = -4a }  {-4 × 2 = -8}

-4a - 8 - 1 = -5a  << Subtract              {-8 - 1 = -9}

-4a - 9 = -5a       << Add -4a to both side {-4a + -4a = } {-5a + -4a = -1a}

-9 = -1a               << Divide both sides by -1 {-9/-1 = -1a/-1}

a = 9

RevyBreeze

The total number of ways Zack can plant the flowers is 252 x 120 = 30240.

The number of ways Zack can plant the flowers can be found using combinations. If he wants to plant 10 flowers in each box, and 1 flower in each pot, he needs 5 boxes and 3 pots. The number of ways to choose 5 boxes out of 10 total boxes is C(10,5) = 252. The number of ways to choose 3 pots out of 10 total pots is C(10,3) = 120. So the total number of ways Zack can plant the flowers is 252 x 120 = 30240.

To check this, you can use a brute force method and count all the possible combinations, or you can use mathematical induction. Assume the result holds for n flowers.

If Zack plants one more flower, the number of ways he can plant the flowers increases by the number of ways to choose a box or a pot for the new flower, multiplied by the number of ways to plant the remaining n-1 flowers.

This shows that the result holds for n+1 flowers, so by induction, the result holds for all positive integers n, including 53.

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Answer:

3

Step-by-step explanation:

She has no more to spend than $55, which means the starting equation is:
x<=55.

She wants to buy ONE pair of pants, which means that you have to subtract 55 by 19.95.

55-19.95=35.05;

x<=35.05;

Each t-shirt costs 9.5 each, which means the equation is now

9.5x<=35.05

Which, if you divide by 9.5 on both sides, is

x<=3.68947368.

So, at most, she can buy 3 shirts.

Answer:

8x100 = m

Step-by-step explanation:

8x100 is an equation to find m, because 100 each, and there are 8.
8x100 = m

The two numbers are 39 and 28.

What is the linear equation in two variables?

A linear equation in two variables is an equation that can be written in the form of Ax + By = C, where A, B, and C are constants and x and y are variables. The graph of a linear equation in two variables is a straight line.

Two numbers add up to 67:

X + Y = 67

One number is 11 less than the other number

If we take X as the bigger number, then:

Y = X -11

Substituting the value of Y, would give us the equation:

X + X – 11 = 67

Which can be solved in the following way:

X + X – 11 = 67

2X = 67 + 11

X = 78 / 2

X = 39

Therefore, Value of Y can be found out by subtracting 11 from 39, which is 28

Hence, The two numbers are 39 and 28.

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Answer: 6 ten dollar bills

Step-by-step explanation:

At the start Sasha had seven ten dollar bills and 5 one dollar bills. It then says she has 15 one dollar bills after the exchange, she exchanged one ten dollar bill for 10 one dollar bills adding up to 15 one dollar bills and six ten dollar bills.

The total number of cups of punch that Peter makes is 12 5/6 cups.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

What is a Mixed Fraction?

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.

Step by step Explaination:

Given that Peter mixes 4 1/4 of orange juice, 2 1/4 cups of ginger ale, and 6 1/3 cups of strawberry lemonade.

Therefore, total amount of punch is,

Total cups of punch

= 4 1/4 cups + 2 1/4 cups + 6 1/3 cups

= (4+2+6)+(1/4 + 1/4 + 1/3)

= 12 + (3+3+4)/12

= 12 + 10/12

= 12 + 5/6

= 12 5/6

Hence, the total number of cups of punch that Peter makes is 12 5/6 cups.

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We can start by finding the sum of the three amounts of liquid:

4 1/4 + 2 1/4 + 6 1/3 = (44 + 1)/4 + (24 + 1)/4 + (6*3 + 1)/3

= 17/4 + 9/4 + 19/3

To add these fractions, we need to find a common denominator. We can use 12 because it is divisible by both 4 and 3:

= (173 + 93 + 19*4)/12

= (51 + 27 + 76)/12

= 154/12

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

154/12 = 77/6

Therefore, Peter makes 77/6 cups of punch, which can also be written as the mixed number 12 5/6.

So the answer is D. 12 5/6.

We will see that the fraction is 1/20, 1/20 of the total movies are action movies that have been playing for more than three weeks.

Here we want to find the fraction of all the movies at the theater are action movies that have been playing for more than three weeks.

First, we know that 1/4 of the total number of movies are action movies, and, of these 1/4 movies, 1/5 have been playing at the theater for more than 3 weeks.

Then the fraction that we want is:

f = (1/4)*(1/5)

f = 1/20

That is the fraction we wanted to get.

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The percent of decrease from 136 days to 85 days is,  37.5%.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The days decrease from 136 days to 85 days.

Hence, The percent of decrease from 136 days to 85 days is,

Decrease percent = (136 - 85) / 136 × 100

                            = 37.5%

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Answer:

X=60

Y=60

Step-by-step explanation:

divide the shape to three shapes two triangle and square .

the triangle has 180 degree total minis the angle of square which 90 =30 that the above angle

to get X (180-90-30=60)

X=60°

An inequality system that reflects this circumstance is C. 8x + 12y 240 since the dyers must produce at least 22 rugs in fewer than 240 hours.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,,, or indicate that the two expressions in an inequality are not always equal.

The small-size rug and medium-size rug would first receive the following variable assignments:

When the problem is converted into an equation, we get;

It takes 8 hours to dye a small-sized rug: 8 times.

12 hours are needed to colour a medium-sized rug.

Given that the dyers must produce at least 22 carpets in less than 240 hours, the following system of inequality best captures the situation:

8x + 12y < 240.

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Answer:

I know the answer

Step-by-step explanation:

go solve it by yourself, be independent

the sum of the term in the arithmetic series will be 3500.

What is arithmetic series?

When there are identical differences between every two next words, the series is known as an arithmetic progression (AP). There is a chance to find a formula for the nth term of the AP using this kind of development.

An arithmetic series can be described in one of two ways:

A sequence known as an arithmetic progression has identical differences between each pair of terms in the sequence.

Arithmetic progressions are sequences where each term, with the exception of the first, is created by multiplying the previous term by a predetermined amount.

a1 =20

an = 260

So the sum of the series will be (an+a1)n/2

=(20+260)25/2

=25*280/2

=25*140

=3500

Hence the sum of the term in the arithmetic series will be 3500.

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The formula that relates the initial investment, P, the final value, S, and the annual interest rate, r, is:

Compounding: how would you define it?

When interest is applied to a principal amount as well as interest that has already been paid, this process is known as compounding. Therefore, compounding can be thought of as interest on interest, which has the effect of magnifying returns to interest over time, or the so-called "wonder of compounding."

S = P(1 + r)^2

We are given that P = $3,240,000 and S = $3,779,136, so we can substitute these values into the equation and solve for r:

3,779,136 = 3,240,000(1 + r)^2

3,779,136/3,240,000 = (1 + r)^2

1.17 = (1 + r)^2

To find r, we need to take the square root of both sides and then subtract 1 from each side:

√(1.17) = √((1 + r)^2)

1.08 = 1 + r

r = 0.08 or 8%

So the annual interest rate required for an initial investment of $3,240,000 to mature to $3,779,136 after two years when the interest is compounded annually is 8%.

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Answer:

Mai can buy 36 / 4.5 = 8 tickets.

The multiplication equation representing this situation is:

x * 4.5 = 36

The division equation representing this situation is:

36 / 4.5 = x

Where x is the number of tickets.

Answer:

Step-by-step explanation:

Nope.

Also, 7 + 1 is a monomial as it is equal to 8 which is a monomial.

The Venn diagram shows that there are 10 students in the Yearbook Club (Y).

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Therefore , the solution of the given problem of triangle comes out to be 195 is the perimeter of  ΔSTU .

The fact that a triangle contains 4 elements or segments qualifies it as a polygon. It is an elementary geometric form. Triangle ABC is the name given to a pyramid with teams A, B, or C. Euclidean geometry produces a single flight and square because once sides are not collinear. It is a polygon if a component has three parts and three corners. The intersection of a triangle's three sides is at its corners. Three triangle angles added together equal 180 degrees.

Here,

Given:

ΔPQR - ΔSTU

Perimeter of ΔPQR  = =335

To find the perimeter of ΔSTU

=> 105/ x = 119/63

=> x = 105 * 63 / 119

=> x = 59.58 or 59.6 (approx)

So , the perimeter of ΔSTU

=> 59.6 + 71.4 + 63

=> 195

Therefore , the solution of the given problem of triangle comes out to be

195 is the perimeter of  ΔSTU .

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The total credit left after 40 minutes of call will be $27.5.

Given is that Latoya purchased a prepaid phone card for $35.50. Calls cost 20 cents a minute using this card. The credit {C} left on the card after it is used for minutes of calls is given by the following function : C(x) = 35.50 - 0.20x.

For using the card for 40 minutes of calls, we can write -

C(x) = 35.50 - 0.20x.

C(40) = 35.5 - 0.2 x 40

C(40) = 35.5 - (1/5) x 40

C(40) = 35.5 - 8

C(40) = 27.5

Therefore, the total credit left after 40 minutes of call will be $27.5.

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The other leg must be equal to X, and X has a measure of 90°. Therefore, the correct answer is D) 90.

Congruence is a mathematical concept in which two figures have the same shape and size. Both figures must have the same angles, length of sides, and area. In other words, the figures must be identical. Congruence can also be used to describe the relationships between two objects, such as a pattern or sequence. In this case, the objects must fit together in a logical way in order for them to be considered congruent. Congruence is a useful tool for problem solving and can be used to demonstrate the validity of an argument.

The Hypotenuse-Leg Congruence Theorem states that the hypotenuse and one of the legs of a right triangle are congruent if the other two sides are equal. In this case, DEF is a right triangle with hypotenuse WX and one leg equal to Y. Therefore, the other leg must be equal to X, and X has a measure of 90°. Therefore, the correct answer is D) 90.

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