What are the lengths of the sides of the right triangle
that is formed? Check all that apply.
h
K
h-k
x-h
y-k
The answer is third one and last one

Answer:

the answer is 131

Step-by-step explanation:

131 is the answer

(i took the test btw)

The two angles are 29 degrees and 61 degrees. The steps involve setting up and solving a simple equation based on the definition of complementary angles.

To solve this question we first need to know that complementary angles add up to 90 degrees. Let's assume the measure of one angle is X. Since the other angle is 32 degrees more than the first, we represent it as X + 32.

Following the principle of complementary angles, we can set up an equation: X + (X + 32) = 90, simplifying gives 2X + 32 = 90.

Subtracting 32 from both sides we get: 2X = 58. Finally, if we divide each side by 2 we get X = 29 degrees. Therefore, one angle measures 29 degrees and the other, which is 32 degrees more, measures 61 degrees.

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Answer:

6 minutes.

Step-by-step explanation:

There is a difference of 42 between 0° and -42° (given), and 42°/7° per minute= 6 minutes.

Answer:

I believe it is three

Step-by-step explanation:

1 yard = 0.9144 meters

1 yard * 10 = 0.9144 meters * 10

10 yards = 9.144 meters

9.144 meters

Answer:

64.93

Step-by-step explanation:

324.65(0.2) = 64.93

You simply want to find 20% of 324.65. To do this, you just need to multiply.

Answer:

Therefore 0.006 inches of rain will have fallen after 2 minutes.

Step-by-step explanation:

Given that,

y = 0.003x

where y is the number of inches of rain after x minutes.

To find the number of inches of rain after 2 minutes, we plug x = 2 minutes in above model equation.

∴ y= 0.003×2

     =0.006

Therefore 0.006 inches of rain will have fallen after 2 minutes.

After 2 minutes, 0.006 inches of rain will have fallen based on the equation y = 0.003x. This calculation involves substituting x with 2 and multiplying by 0.003.

To determine how many inches of rain will fall after 2 minutes using the given equation y=0.003x, we substitute x with 2.

So, the number of inches of rain that will have fallen after 2 minutes is 0.006 inches.

Answer:

Headband: 15.98 in.

Wristband: 8.63 in.

Step-by-step explanation:

In this problem, we call:

h = the amount of fabric used for each headband

w = the amount of fabric used for each wristband

We are told that:

Sean uses 671.16 in at on headbands for 39 players and three coaches, so the total number of headbands made is 42

Therefore, we can write

[tex]671.16 = 42 h[/tex]

And solving for h, we find

[tex]h=\frac{671.16}{42}=15.98 in.[/tex]

Then we also know that Sean uses 336.57 in the fabric on wristbands just for the players, so he produced 39 wristbands; so we can write:

[tex]336.57 = 39w[/tex]

And solving for w,

[tex]w=\frac{336.57}{39}=8.63 in.[/tex]

Answer:

for this we'll have to get 4/3

Multiply 3 from 4 which will give us 4/7 x 4/3. That should give us 1 hour: 16/ 21 dresses

hope this helps lmk :)

Answer:

D and E

Step-by-step explanation:

StartFraction negative 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction

StartFraction negative 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction

❌ A.

❌ B.

❌ C.

✔   D.

✔   E.

Answer:

a circle

Step-by-step explanation:

hope this helps

Answer:

A Circle!

Step-by-step explanation:

Answer:

The plot coordinates are (3,3).

Step-by-step explanation:

Given:

A fucntion f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse fucntion is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

i.e. (3,3)

Answer: b & c

I got the answer right on my quiz

The following statements are true:

- To begin converting the equation to standard form, subtract 36 from both sides.

- To complete the square for the x terms, add 4 to both sides.

- The center of the circle is at (-2, 3).

- The radius of the circle is 7 units.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

To convert the equation to standard form, we need to complete the square for both the x and y terms.

x² + y² + 4x - 6y - 36 = 0

x² + 4x + y² - 6y = 36

(x² + 4x + 4) + (y² - 6y + 9) = 49

(x + 2)² + (y - 3)² = 7²

So the center of the circle is at (-2, 3) and the radius of the circle is 7 units.

Therefore, the following statements are true:

- To begin converting the equation to standard form, subtract 36 from both sides.

- To complete the square for the x terms, add 4 to both sides.

- The center of the circle is at (-2, 3).

- The radius of the circle is 7 units.

And,

The statement "The center of the circle is at (4.-6)" is false, and the statement "The radius of the circle is 49 units" is also false.

Thus,

The following statements are true:

- To begin converting the equation to standard form, subtract 36 from both sides.

- To complete the square for the x terms, add 4 to both sides.

- The center of the circle is at (-2, 3).

- The radius of the circle is 7 units.

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Answer:

1

Step-by-step explanation:

[tex]17 = 1 \times 17 \\ 25 = 1 \times 5 \times 5 \\ common \: factor = 1 \\ gcf = 1[/tex]

Answer:74 degrees

Step-by-step explanation:

You would have to add the starting point to the current temperature.(51+23=74)

Answer:

[tex]log_3_2(5)=\frac{1}{5} k[/tex]

Step-by-step explanation:

Let's start by using change of base property:

[tex]log_b(x)=\frac{log_a(x)}{log_a(b)}[/tex]

So, for [tex]log_2(5)[/tex]

[tex]log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)[/tex]

Now, using change of base for [tex]log_3_2(5)[/tex]

[tex]log_3_2(5)=\frac{log(5)}{log(32)}[/tex]

You can express [tex]32[/tex] as:

[tex]2^5[/tex]

Using reduction of power property:

[tex]log_z(x^y)=ylog_z(x)[/tex]

[tex]log(32)=log(2^5)=5log(2)[/tex]

Therefore:

[tex]log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)[/tex]

As you can see the only difference between (1) and (2) is the coefficient [tex]\frac{1}{5}[/tex] :

So:

[tex]\frac{log(5)}{log(2)} =k\\[/tex]

[tex]log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k[/tex]

62 units is the answers

Step-by-step explanation:

The correct answer is C) 68 units². The net to compute the surface area of the three-dimensional figure is C) 68 units².

To compute the surface area of a three-dimensional figure, one must consider all the faces that make up the shape. The net of a three-dimensional figure provides a two-dimensional representation of all these faces. By calculating the area of each face and summing them up, we can find the total surface area.

Let's assume the net provided shows a figure composed of rectangles and triangles. We will calculate the area of each face as follows:

1. For rectangles, the area is given by the formula A = length × width.

2. For triangles, the area is given by the formula A = 1/2  × base × height.

Let's denote the lengths of the sides of the rectangles as l and w, and the base and height of the triangles as b and h, respectively.

Now, let's calculate the area of each face:

- Rectangle 1: A1 = l ×  w

- Rectangle 2: A2 = l ×  w (assuming it has the same dimensions as Rectangle 1)

- Triangle 1: A3 = 1/2 × b × h

- Triangle 2: A4 = 1/2 ×  b ×  h (assuming it has the same dimensions as Triangle 1)

The total surface area (SA) is the sum of the areas of all faces:

SA = A1 + A2 + A3 + A4

SA = (l × w) + (l ×  w) + (1/2 × b ×  h) + (1/2×  b ×  h)

SA = 2lw + bh

SA= 2*5*3+19*2

SA=68

After performing these calculations with the given measurements from the net, we would find that the total surface area is 68 units².

Therefore, the correct answer is C) 68 units²."

Answer:the width of the rectangle is 9 because sum of the width and one is 9

Step-by-step explanation:

The length would be 9.

The width could be 8, which would make sense, because the width plus 1 would equal nine. You can confirm these dimensions by multiplying them to get the area, 72.

Answer:

D

Step-by-step explanation:

If im wrong, please correct me in the comments.

Answer:

5. D, Let d represent the number of dimes and n represent the number of nickel. We have been given that a collection of coins has 67 coins in all. This means that total number of nickels and dimes is 67. We can represent this information in an equation as:

Since we know that a dime is worth $0.10, so d dimes will be worth 0.10d.  

A nickel is worth $0.05, so n nickels will be worth 0.05n. We are also told that the collection is worth $6.10. We can represent this information in an equation as:

We will use substitution method to solve system of linear equations. From equation (1) we will get, upon substituting  in equation (2) we will get, Let us divide both sides of our equation by .

Answer:

52% will vote for republican candidate

Step-by-step explanation:

If there are 1000 registered voters and 520 of them will vote for Republican candidate

Then the proportion of this voters that will vote for republican candidate can be give as

(520/1000)*100% = 52%

Answer:a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

$13,695.98

Step-by-step explanation:

We can use the continuous compound interest formula to solve:

[tex]A = Pe^{rt}[/tex]

P = principal amount

r = interest rate (decimal)

t = time (years)

First, lets change 8% into a decimal:

8% -> [tex]\frac{8}{100}[/tex] -> 0.08

Now, lets plug in the values:

[tex]A=6,154e^{0.08(10)}[/tex]

[tex]A=13,695.98[/tex]

The account balance after 10 years will be $13,695.98

Answer: 0.5 and 1

Step-by-step explanation: oz. bottle will contain around 500 mL of liquid. This means that you need 2 bottles of 16.9 fl. oz. to make up 1 Liter in the US.

Answer:

Since opposite sides of parallelogram are equal therefore

9r-6=8r+3

r=9

EF=4r+19{opposite sides of parallelogram are equal}

=4×9+19

36+19

=55

Here is you answer.

Step-by-step explanation:

The value of r is 9 units and length of segment EF is 55 units.

a parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

We know that opposite sides are equal

CF=DE

9r-6=8r+3

r=9

Now let us find the length of segment EF

EF=4r+19

=4(9)+19

=36+19

=55 units

Hence, the value of r is 9 units and length of segment EF is 55 units.

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Answer:

Step-by-step explanation:

This is correct for all right angle because Pythagoras theorem has proved that for a right-angle triangle, the square of the hypotenuse length is equal to the sum of the square of the opposite side and square of the adjacent sides

c² = a² + b²

This is true because the squares formed a right angle triangle from their arrangements.

So, let proved with the formula

Let assume one square = 1 unit

A 3 by 3 Square

Length = 3

A 4 by 4 Square

L = 4

A 5 by 5 Square. Hypotenuse

L = 5

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Proved, so for all right angle triangles, it is valid

Answer:

A.100 B.10

Step-by-step explanation: Just look at the picture lol

Answer:

3.64 Km.

Step-by-step explanation:

Given,

Total population = 20,000 people

Population density = 480 people per square kilometer

Area of the circle town

[tex]A = \dfrac{20000}{480}[/tex]

[tex]A = 41.667\ km^2[/tex]

Radius of the circle town

[tex]\pi r^2 = 41.667[/tex]

[tex]r = 3.64\ km[/tex]

Hence, the radius of circle town is equal to 3.64 Km.

Answer:

3.64

Step-by-step explanation:

Answer:

2.875 hours 2 5/8 plus 1/4 equals 2.875

Answer:

Step-by-step explanation:

No of sample space , n(s) = 12 + 11 + 17 + 5 = 45

No of favorable cases , n(e) = 17

Probability of getting blue marble ,

P(e) = n(e)/n(s)

        = 17 / 45

NOW

Probability of not getting blue marble,

P'(e) = 1 - p(e)

       = 1 - 17 / 45

      = ( 45 - 17)/45

     = 28 / 45

Hope it helped :)

The required probability of not getting blue marble is 28/45.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles.

The total number of outcomes. = 12 + 11 + 17 + 5

So n(S) = 45

Number  of favorable outcomes, n(E) = 17

Probability of getting blue marble,

⇒ P(E) = n(E)/n(S)

⇒ P(E) = 17/45

So the required probability of not getting blue marble as

⇒ P'(E) = 1 - P(E)

⇒ P'(E) = 1 - 17 / 45

⇒ P'(E) = (45 - 17)/45

⇒ P'(E) = 28/45

Hence, the required probability of not getting blue marble is 28/45.

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