Find the measure of the marked angle

Answer: 102cm²

Step-by-step explanation:

Area of base = 6 × 7 ÷ 2 = 21

Area of lateral face = 6 × 9 ÷ 2 = 27

Since all of the sides of the base are equal, we can multiply the area of 1 lateral face by 3 to get the area of all the lateral faces.

27 × 3 = 81.

Now we add up the area of the base and the lateral faces.

21 + 81 = 102cm²

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Hello, I was happy to solve the problem. If you find a bug, post in the comments or click on the report, I will see it and try to fix it as soon as possible.

The answer to this problem: 2

Laurel spent a total of 65 minutes exercising across these activities.

To calculate the total minutes Laurel spent exercising, we simply need to add the minutes spent on each activity:

Jogging: 30 minutes

Swimming: 20 minutes

Yoga: 15 minutes

Total minutes = 30 + 20 + 15 = 65 minutes

Laurel spent a total of 65 minutes exercising across these activities.

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How many minutes did Laurel spend exercising in total, if she participated in different activities for the following durations: 30 minutes of jogging, 20 minutes of swimming, and 15 minutes of yoga?

Answer:

\(\approx 0.59\text{ ft by }0.91\text{ ft}\)

Step-by-step explanation:

Let \(\ell\) represent the length of the rectangle. The width can be represented as \(0.64\ell\).

The perimeter of a rectangle with lengths \(l\) and \(w\) is given by \(p=2l+2w\).

Thus, we have:

\(2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91\)

The width is then \(0.64(0.91463414634)=0.58536585365\approx 0.59\).

Answer:

Thov txim ntau heev, tab sis kuv zoo li ruam heev yog li kuv xav tau cov ntsiab lus no thov tsis txhob qhia kuv!

Step-by-step explanation:

0.008

1/5 x 1/5 x 1/5

Answer:

y = 4x + 31

Step-by-step explanation:

We are given that a line contains the point (-9,-5).

We also know that this line is parallel to the line that has the equation y = 4x + 3.

We want to write the equation of the unknown line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept.

Parallel lines have the same slopes.

The equation y = 4x + 3 is written in slope-intercept form. Therefore, the slope of the line is 4, as 4 is in the place of where m (the slope) is.

It is also the slope of the line we want to write.

Since we now know the slope of the line, we can substitute that value into the equation.

Replace m with 4 in y=mx+b.

y = 4x + b

Now we need to find b.

As the equation passes through the point (-9, -5), we can use its values to help solve for b.

Substitute -9 as x and -5 as y.

-5 = 4(-9) + b

Multiply

-5 = -36 + b

Add 36 to both sides.

31 = b

Substitute 31 as b in the equation.

y = 4x + 31

Topic: parallel and perpendicular lines.

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Answer:

Step-by-step explanation:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

Answer:

Solution given:

r=4in

h=4in

surface area=2πr(r+h)=2π*4(4+4)=64π or201.06ft²

Volume=πr²h=π*4²*4=64π or 201.06ft³

Answer:

AE and BD use the same lines for both triangles so the angles for C are the same. this means that all the angles are congruent between both triangles.

Step-by-step explanation:

Answer:

The distance across the river d=175ft

Step-by-step explanation:

As◇ ABC& ◇ EDC are similar, BC/CD=AB/ DE

4x/7x=100/d

d=100×7/4=175

Answer:

y=199-3x

Step-by-step explanation:

you ave 199 and 3 pper day so  is considered each day and whatever it equals it will be y

Answer:

A 199 -3d

Step-by-step explanation:

Plz choose mine as brainliest

Answer:

yes...

Step-by-step explanation:

k

A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).

Degree of the polynomial function is equal to 3.

Zero's of the polynomial function is equal to 2, -3 , 5 .

And f(3) = 6

If 2, -3, and 5 are zeros of f(x), then we can write function as,

f(x) = a(x-2)(x+3)(x-5)

where a is some constant.

To determine the value of a, we can use the fact that f(3) = 6.

Substituting x = 3 into the equation above, we get,

f(3) = a(3-2)(3+3)(3-5)

     = -12a

Here we have,

f(3) = 6, so we can set these two expressions equal to each other and solve for a,

⇒ -12a = 6

⇒ a = -1/2

Now we can substitute this value of a back into the equation for f(x) that we found earlier,

⇒ f(x) = -1/2 (x-2)(x+3)(x-5)

Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).

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Answer:2.4

Hope this helps!!Please tell me if correct.

Answer:

y=-3/4x+1/4

Step-by-step explanation:

This is the concept of equations of graphs; We are required to calculate for the equation if the line that is perpendicular to the line 4x-3y=-8 and passes through point (3,-2).

Here we proceed as follows;

4x-3y=-8 can be written in he form y=mx+c as follows;

-3y=-4x-8

thus;

y=4/3x+8/3

The slope of the line perpendicular to this is -3/4. Thus using point (3,-2) the equation will be as follows;

-3/4=(y--2)/(x-3)

-3/4(x-3)=y+2

y+2=-3/4(x-3)

y+2=-3/4x+9/4

thus;

y=-3/4x+1/4

the answer is:

y=-3/4x+1/4

Answer:

72

Step-by-step explanation:

45/35=x/56

9/7=x/56

7x=9*56

:7. :7

x=9*8

x=72

The translation "If you see a penny, pick it up, all day long you'll have good luck" is represented as (SAP) ➡ G in formal logic.

In formal logic, we often use symbolic notation to represent statements and their logical relationships.

In this case, the natural language sentence is being translated into formal logic using symbolic variables and logical connectives.

The translation provided uses three variables:

S represents the statement "You see a penny."

P represents the statement "You pick the penny up."

G represents the statement "All day long you'll have good luck."

The arrow (➡) is a logical connective that represents implication.

It signifies that the statement on the left side of the arrow (SAP) implies the statement on the right side (G).

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The sequence of transformations that show figure A and figure B are congruent is: Translate figure A 4 units right and then reflect the image across the x-axis.

Translation refers to a type of transformation that involve a straight line movement.

Movements as seen in translation includes

The left and right movements are on the horizontal direction controlled by the x coordinate.

The object moved 4 units right then reflected over the x axis to have the mirror image below the x axis

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The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

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Answer:

$ 7770.81

Step-by-step explanation:

2.5 % each year means the car retains  97.5 % ( or .975 in decimal)  of its value per year

    8599 ( .975) ^4  = $ 7770.81

After solving the proportion we get the value of n = 9

What is a proportion ?

There are several methods to define a proportion. A percentage is an equation with two equal ratios, according to one definition. In other words, a percentage is created when two fractions are connected by an equal sign in the middle. One or both of the fractions in proportions may contain variables.

A percentage is often defined as an amount that is considered separately from, as a share of, or in relation to a total. According to the concept of proportion, two ratios are in proportion when they are the same. Two ratios are said to be directly proportional if they rise or decrease in the same ratio. To denote proportions, use the symbols "::" or "=".

7/3 = 21/n

n = 3 x 21/7

n = 3x3

n = 9

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Answer:

56

Step-by-step explanation:

If we split this figure to 2 parts, we figure the area based upon this composite figure.

1 figure is 10x4(rectangle)

the other figure is a 4x4 square (Note we subtract 8 by 4 because we don't want overlapping area)

After that we find the area of those to figures then we add them up

(4x4)+(10x4)

16+40

56

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

Given

A parking garage bases its prices on the number of hours a vehicle parks in the garage.

To find the pricing scheme the parking garage uses for vehicles.

From the graph, it is shown that the x-axis denotes the number of hours and the y-axis represents the cost in dollars.

Hence, for the first two hours, the cost will be 4 dollars, then from 2 to 6 hours the cost will be 2 dollars per hour, and the remaining hours after 6 hours will be 1 dollar.

Thus, the answer will be option c.

Answer:

I think the answer might be b.

Step-by-step explanation:

Answer:

See Below:

Step-by-step explanation:

Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.

22= (25+18+17+13+24+x)/6

Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.

22 = (25+18+17+13+24+x)/6     Multiply both sides by 6

132= 97+ x  Subtract 97 from both sides.

35 = x

The person who just entered the room is 35 years old.

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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