Select the correct answer from each drop-down menu.
Square STQR is drawn on one side of right triangle TPQ.

The length of each side of the square is about __ units, and the length of its diagonal is about __ units.

Select The Correct Answer From Each Drop-down Menu.Square STQR Is Drawn On One Side Of Right Triangle

Answers

Answer 1

Answer:

Part 1) The length of each side of the square is about 4.47 units

Part 2) The length of its diagonal is about 6.32 units

Step-by-step explanation:

Part 1)

Find the length of each side of the square

In the right triangle TPQ

Applying the Pythagoras Theorem

[tex]TQ^{2}=PQ^{2}-TP^{2}[/tex]

substitute the given values

[tex]TQ^{2}=6^{2}-4^{2}[/tex]

[tex]TQ^{2}=36-16[/tex]

[tex]TQ^{2}=20[/tex]

[tex]TQ=2\sqrt{5}\ units[/tex] -----> exact value

[tex]TQ=4.47\ units[/tex] -----> approximate value

Part 2)

Find the length of the diagonal of the square

Applying the Pythagoras Theorem

[tex]TR^{2}=TQ^{2}+QR^{2}[/tex]

we have

[tex]TQ=QR[/tex]

[tex]TQ=2\sqrt{5}\ units[/tex]

substitute

[tex]TR^{2}=(2\sqrt{5})^{2}+(2\sqrt{5})^{2}[/tex]

[tex]TR^{2}=40[/tex]

[tex]TR=2\sqrt{10}\ units[/tex] -----> exact value

[tex]TR=6.32\ units[/tex] ----> approximate value

Answer 2

Answer:

First box is 4.5 units and the second box is 6.3 units.

Step-by-step explanation: Correct Plato answer.


Related Questions

What is the most reasonable estimate for the capacity of a bucket 6mm or 1L

Answers

Answer:

1L

Explanation:

Millimeter is a metric measurement for distance/length, while Liter is a metric measurement for volume/capacity.

Hope this helps! :)


Write the correct inequality for each graph.

Answers

1.) x>2

2.)x≤3

3.)x<4

4.)x≥5

Hope this helps:)

An experiment consists of randomly selecting a marble from a bag, keeping it, and then selecting another marble. The bag contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble. What is the probability of selecting a red marble and then a blue marble? Question 3 options: 20% 13.33% 10% 16.66%

Answers

Answer:

13.33%

Step-by-step explanation:

First we need to find the total number of marbles

4 blue marbles+ 3 green marbles+ 7 red marbles+ 1 yellow marble= 15

The probability of a red marble = number of red marbles over the total marbles

P(red) = red/total = 7/15

We keep the marble.  There are now 6 red marbles

4 blue marbles+ 3 green marbles+ 6 red marbles+ 1 yellow marble= 14

We have 14 marbles in the bag

The probability of a blue marble = number of blue marbles over the total marbles

P(blue) = blue/total = 4/14 = 2/7

Then we multiply the probabilities together

P(red,blue0 = 7/15 * 2/7 = 2/15 =.13333333 = 13.33%

Final answer:

The probability of selecting a red marble and then a blue marble from the bag is about 13.33%.Hence, the answer is B.

Explanation:

The probability of selecting a red marble and then a blue marble from a bag that originally contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble involves calculating the probability of two independent events.

First, the probability of selecting a red marble is the number of red marbles over the total number of marbles, so P(Red first draw) = 7/(4+3+7+1) = 7/15.

After selecting a red marble, there is one less marble in the bag, so the new total is 14, and still 4 blue marbles. The probability of then selecting a blue marble is the number of blue marbles over the new total, so P(Blue second draw) = 4/14 = 2/7.

To find the combined probability of both events happening in sequence (red then blue), we multiply the individual probabilities: P(Red then Blue) = P(Red first draw) * P(Blue second draw) = (7/15) * (2/7) = 2/15. Converting this to a percentage gives us approximately 13.33%.

please help! will give brainlist, only answer if youre 100% surre
Simplify. 1/4y+1 1/2 + 2− 13/4y − 12 Enter your answer in the box

Answers

Answer:

-3y-8 1/2

Step-by-step explanation:

1/4y-13/4y=-12/4y=-3y

1.5+2-12=-8.5 or 8 1/2

Answer:

-17y+13/4y

use m.a.t.h.w.a.y

Step-by-step explanation:

is 25/60 a repeating decimal or terminating decimal​

Answers

25/60 is repeating decimal

hope it helps you!!!!!!!!!

The base of a rectangular pyramid is 13 inches long and 12 inches wide the height of the pyramid is 8 inches what is the volume of the pyramid

Answers

Final answer:

The volume of a rectangular pyramid with a base of 13 inches by 12 inches and a height of 8 inches is 416 inches³, calculated using the formula V = (1/3) × base area × height.

Explanation:

To calculate the volume of a rectangular pyramid, the formula is V = (1/3) × base area × height. The base area is the length times the width of the pyramid's base, while the height is the perpendicular distance from the base to the apex. Given the dimensions of the pyramid as a base of 13 inches by 12 inches and a height of 8 inches:

First, calculate the base area: 13 inches × 12 inches = 156 inches².Next, use the volume formula: V = (1/3) × 156 inches² × 8 inches.So, the volume of the pyramid is: (1/3) × 156 inches² × 8 inches = (1/3) × 1248 inches³.The final volume is 416 inches³.

Final answer:

The volume of the rectangular pyramid with a base of 13 inches by 12 inches and a height of 8 inches is 416 cubic inches, calculated using the formula V = ¼Bh.

Explanation:

To find the volume of a rectangular pyramid, you can use the formula for the volume of any pyramid, which is ¼ the base area multiplied by the height (V = ¼Bh). In this case, the base area (B) can be calculated by multiplying the length and width of the base of the pyramid. Therefore, the base area B is 13 inches * 12 inches, which equals 156 square inches. The height (h) of the pyramid is given as 8 inches.

Using the volume formula:

Base area (B) = 13 in * 12 in = 156 in²

Height (h) = 8 in

Volume (V) = ¼ * B * h = ¼ * 156 in² * 8 in

Calculation:

V = ¼ * 156 in² * 8 in

V = 1,248 in³ ´  3

V = 416 in³

Therefore, the volume of the pyramid is 416 cubic inches.

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches . The cone has a radius of 3 inches. What is the height of the cone ?

Answers

Answer:

The height of the cone is [tex]4\ in[/tex]

Step-by-step explanation:

step 1

Find the volume of the cylinder

The volume of the cylinder is equal to

[tex]V=\pi (r)^{2}(h)[/tex]

substitute the values

[tex]V=\pi (2)^{2}(3)=12\pi\ in^{3}[/tex]

step 2

Find the height of the cone

The volume of the cone is equal to

[tex]V=(1/3)\pi (r)^{2}(h)[/tex]

Remember that the volume of the cone is equal to the volume of the cylinder

substitute the given values and solve for h

[tex]12\pi=(1/3)\pi (3)^{2}(h)[/tex]

Simplify

[tex]36=9(h)[/tex]

[tex]h=36/9=4\ in[/tex]

helpppppp due tomarrow please help me easy/simple

Answers

Answer:

0.68

Step-by-step explanation:

$17 out of $25 comes to 17/25, or 0.68.  This is the desired decimal equivalent.

She spent 17/25, and the decimal equivalent is .68

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Rewrite the following equation in the form y = a(x - h)2 + k. Then, determine the x-coordinate of the minimum.

y = 2x2 - 32x + 56

The rewritten equation is y =
(x -
)2 +
.

The x-coordinate of the minimum is
.

Answers

Answer:

a=2

h=8

k=-72

Step-by-step explanation:

[tex]y = 2 {x}^{2} - 32x + 56 \\ = 2( {x}^{2} - 16x + 28) \\ = 2( {x}^{2} - 2 \times 8 x + 64 - 36) \\ = 2 {(x - 8)}^{2} - 72 \\ then \: the \: minimum \: is \: - 72 \: and \\ \: the \: x - coordinate \: of \: minimum \: is \: 8.[/tex]

The rewritten equation is 2(x-8)^2 - 100, and the x-coordinate of the minimum is 8.

What is a quadratic equation?

A quadratic equation is a second-degree algebraic equation in x. The conventional form of the quadratic equation is ax^2 + bx + c = 0, with a and b as coefficients, x as the variable, and c as the constant component.

y = 2x^2 - 32x + 56

y = 2(x^2 - 16x + 28)

y = 2((x^2 - 16x + 64) - 36)

y = 2((x - 8)^2 - 36)

y = 2(x - 8)^2 - 72

The equation when converted in the form  y = a(x - h)^2 + k will look like  y = 2(x - 8)^2 - 72.

The minimum value of this function is y = -72 and the x-coordinate of the minimum is x = 8.

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Whays the sum
24-12÷3+4(21/7)

Answers

Your answer is 8

Hope I helped

Answer:

32

Step-by-step explanation:

Look at the following problem. Which step should occur first to solve this problem? 2 + (3 - 9) ÷ 4 ⋅ 4

Answers

Answer:

2 + (-6) ÷ 4 ⋅ 4

Step-by-step explanation:

Given in the question an expression,

2 + (3 - 9) ÷ 4 ⋅ 4

First step to solve this problem is to solve the arithmetic which is inside the brackets.

= 2 + (-6) ÷ 4 ⋅ 4= 2 - 6 ÷ 4 . 4

Anything in parentheses always come first when solving a problem.

What are the domain and range of the quadratic parent function

Answers

The domain is all real numbers and the range is all the reals at or above the vertex y coordinate (if the coefficient on the squared term is positive) or all the reals at or below the vertex (if said coefficient is negative).

Answer:

The domain is all real numbers, and the range is nonnegative real numbers (y > 0)
-

Step-by-step explanation:

tha pex

In Kyle’s closet, 5/10 of the shirts are blue and 3/10 of the shirts are green. How much more of the shirts are blue than green

Answers

Answer:

1/5

Step-by-step explanation:

we know that

5/10 of the shirts are blue

3/10 of the shirts are green

so

To find how much more of the shirts are blue than green, subtract the fraction of the shirts that are green from the fraction of the shirts that are blue

5/10-3/10=2/10

Simplify

2/10=1/5

Just keepin it simple. Can you please help me with this problem.

Answers

3/10-2/5-3/4 would be least to greatest.

Hope this helps!

3/10  <  2/5  <  3/4This Is Ordered From Least To Greatest

help me if u do u get bl :)

Answers

First picture = x ≤ 7

Second picture = y = [tex]\frac{x}{3}[/tex] - 1

Third picture = graph d

Hope this helps you

bl.... like... boy love......?

What is the value of n

Answers

Answer:

C

Step-by-step explanation:

The angle 160° and the interior angle of the triangle form a straight angle

interior angle = 180° - 160° = 20°

Similarly with angle 131° and the interior angle at the top of the triangle

interior angle = 180° - 131° = 49°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

n is an exterior angle, hence

n = 20° + 49° = 69° → C

Ezra works two summer jobs to save for a laptop that costs at least $1100. He decides to adjust his rates to $250 per lawn (x) for the summer and $300 per dog (y) for the summer, and to limit himself to 2 dogs.

Describe how to find a solution graphically.

Answers

Answer:

Graph in the first quadrant because x and y are nonnegative.

Shade the half-plane that does not include the origin since (0, 0) does not satisfy the inequality.

Draw a horizontal line at y = 2 for 2 dogs.

Solutions lie on or below the part of the horizontal line that is in the shaded region.

Step-by-step explanation:

Answer:more than 3

Step-by-step explanation:

i jus did it

How do I graph the circle and so on

Answers

Answer:

The center point will be on (-5,3) and the second point will be on (-4,3)

Step-by-step explanation:

How to find angle measures and segment length

Answers

Answer:

The value of x is [tex]186\°[/tex]

Step-by-step explanation:

Part 27) we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses

In this problem

[tex]90\°=\frac{1}{2}[x\°-6\°][/tex]

Solve for x

[tex]180\°=[x\°-6\°][/tex]

[tex]x=180\°+6\°=186\°[/tex]

which statements correctly describe the association between the variables A and B select each answer

positive association

negative association

nonlinear association

no association

linear association​

Answers

The statements that correctly describe the association between variables A and B are "positive association," "negative association," "nonlinear association," "no association," and "linear association."

Positive Association: Variables A and B have a positive association when an increase in the value of variable A corresponds to an increase in the value of variable B. In other words, as A increases, B also tends to increase, and vice versa. This relationship implies a positive correlation between the two variables.

Negative Association: A negative association between variables A and B occurs when an increase in the value of variable A corresponds to a decrease in the value of variable B, and vice versa. Here, as A increases, B tends to decrease, and vice versa. This relationship signifies a negative correlation between the two variables.

Nonlinear Association: Variables A and B exhibit a nonlinear association when the relationship between them cannot be adequately represented by a straight line. Instead, their connection follows a more complex pattern, such as a curve or some irregular shape. Nonlinear associations can still be positive or negative, but they do not follow a simple linear relationship.

No Association: When there is no association between variables A and B, changes in one variable do not correspond to any predictable changes in the other. In this case, the values of A and B are independent of each other, and there is no correlation between them.

Linear Association: Variables A and B have a linear association when their relationship can be approximated by a straight line. In a linear association, a change in one variable is proportionally reflected in the other variable. This is the simplest form of association and is characterized by a constant rate of change between the variables.

To know more about association here

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The low temperature in Chicago was -3 °F. The low temperature in Milwaukee was -11 °F. Which statement is true?
-11 is greater than -3, so it was colder in Chicago.
-3 is greater than -11, so it was colder in Chicago.
-11 is greater than -3, so it was colder in Milwaukee.
-3 is greater than -11, so it was colder in Milwaukee.

Answers

Answer:

The statement -11 is greater than -3, so it was colder in Milwaukee is true.

Answer:

-11 is greater than -3, so it was colder in Milwaukee.

Step-by-step explanation:

Answer 1 (-11 is greater than -3, so it was colder in Chicago) is incorrect because it was -3 in Chicago, not -11.

Answer 2 (-3 is greater than -11, so it was colder in Chicago) is incorrect because -3 is not greater than -11.

Answer 3 is correct because -11 is greater than -3 and the cities are labeled correctly.

Answer 4 (-3 is greater than -11, so it was colder in Milwaukee) is incorrect because -3 is not greater than -11. Milwaukee was also -11, not -3.

I hope this helps!

Please answer right away. Last attempt and last question

Answers

Answer:

1,206

Step-by-step explanation:

Since we'll have to deal with cubic inches (with the ball volume), we should also calculate the volume of the car in cubic inches.

We are told the car is a rectangular prism measuring 10ft x 5 ft x 3 ft.

So, in inches (12 inches/foot), we have: 120 in x 60 in x 36 in = 259,200 cu inches.

The ball is a sphere with a radius of 3 inches.

Real volume of the ball: V = (4/3) π r³

V = (4/3) π 3³ = 36 π = 113.1 cu inches

But of course, balls don't fit perfectly one next to another, like cubes, so we have to take into account the loss... the question tells us to use a factor of 190%.

So, the packing volume of a ball is 190% its real volume:

PV = 190% * 113.1 = 214.9 cu inches

Now, how many times does that fit inside the car?

259,200 / 214.9 = 1,206.14

Let's round it to 1,206, which is a possible answer.

What would the answer be if a cylinder was 6 and 8 inches?

Answers

Answer:

904.36

Step-by-step explanation:

If the radius is 6 and the height is 8 then the answer would be 904.32

This is because the volume formula for a cylinder is pi times radius sqaured times height so if the radius is 6 and the height is 8 then you would do 3.14 times 36 times 8 which would get you 904.36. Also using the formula I just gave you if the diameter is 6 then you would just half it to make the radius. Maybe if I am wrong about which is which for the height being 8 and the radius or diameter being 6 then you could just switch it around in the formula

Answer: ≈904.78

Step-by-step explanation:

V=πr2h=π·62·8≈904.77868

Do, -1/2 of x is (4,0) (2,0) (-2,0)

Answers

im not sure but it could be (-2,0) :/

Answer:

(2,0)

The answer is obvious

Jackson works as a veterinarian technician and earns $12.20 per hour Jackson normally works 40 hours a week in a normal week what is his total pay before taxes and other deductions Jackson works as a veterinarian technician earns $12.20 per hour Jackson normally works 40 hours a week in normal week what is his total pay before taxes and other deductions

Answers

Answer:

Multiply $12.40 times 40. Remember to use a dollar sign in your answer.

Step-by-step explanation:

the difference of X and 7 is greater than -15​

Answers

Answer:

x-7>-15

Step-by-step explanation:

The difference is subtraction.

Greater than is >.

For this case, we must write the expression given algebraically:

The difference of x and 7 can be written as:

[tex]x-7[/tex]

That difference is greater than -15, so the opening of the inequality sign must be on the differencing side, that is:

[tex](x-7)> - 15[/tex]

ANswer:

[tex](x-7)> - 15[/tex]

Esmeralda simplified a complex fraction her work is shown below

Answers

Answer:

Should be (-21/4) (2/3) = -42/12 = -21/6

So answer is  

Esmerelda did not use the reciprocal of the divisor.

Step-by-step explanation:

Answer: Esmeralda added the numerators.

Esmeralda added the denominators.

Esmeralda did not use the reciprocal of the divisor.

At how many points does the graph of the function below intersect the xaxis? y = 4x 2 - 6x + 1

Answers

Answer:

2 points

Step-by-step explanation:

A quadratic equation is in the form of ax²+bx+c. The points at which the graph of the function y = 4x² - 6x + 1 intersects the x-axis is 0.191 and 1.309.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The points at which the graph of the function y = 4x² - 6x + 1 intersects the x-axis can be found by substituting the value of y as 0 in the equation and then solving the equation.

0 = 4x² - 6x + 1

Since the equation is in the quadratic form, the roots of the equation are,

[tex]x = \dfrac{-(-6)\pm\sqrt{(-6)^2-4(4)(1)}}{2(4)}\\\\x = \dfrac{6\pm\sqrt{36-16}}{8}\\\\x = \dfrac{6\pm\sqrt{20}}{8}\\\\x = \dfrac{6\pm2\sqrt{5}}{8}[/tex]

x = 0.191, 1.309

Hence, The points at which the graph of the function y = 4x² - 6x + 1 intersects the x-axis is 0.191 and 1.309.

Learn more about Quadratic Equations:

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IMPORTANT PLEASE HURRY!!
what is the surface area of a box if it’s volume is 2244 inches cubed?
I wasn’t given any measurements, just the volume.

Answers

For this case we have that if the box is cubed, then the volume is given by:

[tex]V = l ^ 3[/tex]

Where:

l: It's the side of the cube

We have to:

[tex]l ^ 3 = 2244\\l = \sqrt [3] {2244}\\l = 13,09204886[/tex]

So, l is the side of the box. The surface area of a cube is given by:

[tex]SA = 6l ^ 2\\SA = 6 * (13.09204886) ^ 2\\SA = 1028.41046012[/tex]

Rounding off we have that the surface area of the cube is:

[tex]1028.4 \ in ^ 2[/tex]

Answer:

[tex]1028.4 \ in ^ 2[/tex]

A school trip to the zoo costs $36, which includes $8 for the bus ticket and cost for 2 passes. Both passes cost the same amount. What is the cost of each pass

Answers

14$ because you subtract 8 - 36 = 28 then divide 28 by 2 and get 14

36 - 8 = 28 divided by 2 equals 14

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