solve for x solution will be in decimal form

The length of one leg of the triangle is equal to 7 units.

Based on Pythagorean theorem, the length of sides of a right-angled triangle are always in the ratio 1 : 1 : √2, which can be rewritten as follows;

x : x: x√2.

Where:

x represent the length of sides (one leg) of a right-angled triangle.

From this 45-45-90 triangle, we can determine the length of one leg of the triangle as follows:

x = 1/√2 × (7√2)

x = 7 units.

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Complete Question:

The hypotenuse of a 45°-45°-90° triangle measures 7√2 units. what is the length of one leg of the triangle?

The experimental probability of the computer generating a 3 or a 4 will be 28%.

Experimental probability can be found in the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event;

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

We are given that a computer generates 75 integers from 1 to 8 at random. The results are recorded in this table.

Outcome;

1 2 3 4 5 6 7 8

Number of times outcome occurred;

12 16 9 12 4 7 5 10

Therefore,

P_e(E) = 9 + 12 /2

P_e(E) =28%

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Answer:28%

Step-by-step explanation:
i took the quiz<33

The measure of angle 75 degrees with steps are;

To construct a degree of 75 degree, we have to;

Note that 75 is an acute angle

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Answer:

The answer for the width of the building 5m

Step-by-step Explanation:

3cm=1m

15cm=x

cross multiply

x×3=15×1

3x=15

divide both sides by 3

3x/3=15/3x=5m

Check the picture below.

Answer:

sin (M) = 1/11 * √34 or (√34) / 11

Step-by-step explanation:

The sine ratio is sin (reference angle) = opposite / hypotenuse.

Plugging in M for the reference angle gives us:

sin (M) = (√34) / 11.  Dividing by 11 is the same as multiplying by 1/11 so alternatively, you could write sin (M) = 1/11 * (√34)

The expression is already in simplest radical form as there are no perfect squares which divide evenly into 34.

Answer:

1st question, see attachment (-32 is answer). 2nd question, answer is (x+3).

Step-by-step explanation:

please see attachment for 1st question.

2nd question:

-3 means x + 3

for any number A

(-A) is x + A

(A) is x - A

f(0) just means put 0 wherever x is in equation

Answer:

C

Step-by-step explanation:

First it is a reflection of the original then a fractional dilation that makes the reflection SMALLER...it is no longer CONGRUENT, but it is SIMILAR

The value of length of segment t in the intersecting chords is determined as 6.93.

The value of length of segment t is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that the product of two segments of a chord is equal to the product of the two segments of the second intersecting chord in the circle.

From the diagram, the length of t is calculated by setting up the following equation;

4 x ( 4 + 8)  = t x t

4 (12) = t²

48 = t²

t = √ (48)

t = 6.93

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Answer:

The expression involves repeatedly taking the square root of 9999999999999999, and since there are an even number of roots, the result will be positive.

To calculate the value of x, we can simplify the expression by taking the square root of 9999999999999999 first and then applying the square root function repeatedly.

The square root of 9999999999999999 is approximately 9999999.9999999995357676.

Taking the square root of this number yields approximately 316227.76601683793.

Continuing this process of taking the square root yields:

√(√(9999999999999999)) ≈ 316227.76601683793

√(√(√(9999999999999999))) ≈ 56.23413251903491

√(√(√(√(9999999999999999)))) ≈ 2.9831226258719656

√(√(√(√(√(9999999999999999))))) ≈ 1.4565131116848164

√(√(√(√(√(√(9999999999999999)))))) ≈ 1.1084260329045203

√(√(√(√(√(√(√(9999999999999999))))))) ≈ 1.0323583730781274

√(√(√(√(√(√(√(√(9999999999999999)))))))) ≈ 1.0109720093876667

√(√(√(√(√(√(√(√(√(9999999999999999))))))))) ≈ 1.0028950382728386

√(√(√(√(√(√(√(√(√(√(9999999999999999)))))))))) ≈ 1.0007212764795355

√(√(√(√(√(√(√(√(√(√(√(9999999999999999))))))))))) ≈ 1.0001798850712478

√(√(√(√(√(√(√(√(√(√(√(√(9999999999999999)))))))))))) ≈ 1.0000449706330375

√(√(√(√(√(√(√(√(√(√(√(√(√(9999999999999999))))))))))))) ≈ 1.000011242264439

√(√(√(√(√(√(√(√(√(√(√(√(√(√(9999999999999999)))))))))))))) ≈ 1.0000028105696245

√(√(√(√(√(√(√(√(√(√(√(√(√(√(√(9999999999999999))))))))))))))) ≈ 1.0000007026370322

Step-by-step explanation:

This was too easy.

Answer:

1.33

Step-by-step explanation:

[tex] \sqrt[129]{9999999999999999 = 1.33} [/tex]

Answer:

  C. S

Step-by-step explanation:

You want the center of rotation when figure QRSP is rotated 90° CW to become UVST.

The center of rotation is the point of coincidence of the perpendicular bisectors of the segments between a preimage point and the corresponding image point. It is also the only point on the plane that is invariant with the rotation.

The rectangle names tell us the rotation maps the points as follows:

The fact that point S does not move tells us that it is the center of rotation. As a check, we can see if the perpendicular bisectors of QU, RV and PT intersect at point S. (They do.)

Point S is the center of rotation.

__

Additional comment

Unfortunately, the image attached to the problem statement distorts the lines and angles. Hence, it cannot be used to find the precise location of the center of rotation. (In fact, the "rectangles" shown are only conceptual rectangles, not actual congruent rectangles.)

The perpendicular bisector of QU seems to pass through S, as it must if S is the center of rotation.

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554 students is the required number that would have to be sampled

To determine the sample size needed to limit the margin of error in a 95% confidence interval, we can use the formula for the margin of error in a sample mean estimate:

E = z * (σ/√n)

Here, E is the desired margin of error, z is the z-score corresponding to the desired confidence level (for a 95% confidence level, z = 1.96), σ is the standard deviation, and n is the sample size. We can solve for n to find:

n = (z * σ / E)²

Substituting the given values:

n = (1.96 * 300 / 25)²

Now, calculate the value:

n = (23.52)^2 = approximately 553

Therefore, you should sample 553 students.

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For the given parabola the zeroes are -2 and 6, the axis of symmetry is x = 2, the parabola has a maximum and the vertex is (2, 14)

The given figure is a  parabola, a plane curve which is mirror-symmetrical and is approximately U-shaped is called parabola

The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis).

The zeroes are -2 and 6

The parabola has a maximum as the vertex has posititve

The axis of symmetry for a parabola is the line which will separate a parabola into two equal halves

The axis of symmetry is x = 2

The vertex of a parabola is the point of intersection of the parabola and the axis of symmetry.

The vertex is (2, 14)

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Answer: The answer is D, reflection, then rotation results in an image that is congruent to the original.

Step-by-step explanation:

It is upsetting to get a question wrong and the teacher doesn't really explain the right answer. You were so close but you just needed to flip the answers rotation and reflection around.

In the first image, the two triangles ACB and EDF are symmetrically are across from each other, which is called reflection.

ACB-reflection-BCA

Then in the second image, triangle GHI is rotated 90 degrees counterclockwise, which would obviously be called rotation.

A                  

C -rotation- BCA

B

Therefore, the first step is reflection, and the second step is rotation, making the answer to this question d. Hope this helps with the clarified explanation!

-From a Fifth Grade Honors Student!

We start by drawing a rectangle around the triangle as shown in the diagram below.

Area of RST = Area of rectangle - (area of triangle A + area of triangle B + area of triangle C)

Area of RST = (8×4) - [ (1/2×8×2) + (1/2×4×3) + (1/2×5×2) ] ⇒ we factorise the 1/2 out of the expression for the area of triangle A, B, and C

Area of RST = (8×4) - 1/2 (16+12+10), The answer is A.

MARK AS BRAINLIEST. YOU SAID THAT. THANK YOU!

The conditional statement is solved and the axiom of schema of separation is given

Given data ,

The Axiom Schema of Separation, often referred to as the Axiom Schema of Subset Collection, is a set theory axiom schema that enables us to create a new set out of an existing one by defining a requirement that the members of the new set must meet.

For any set A and any condition P(x), there exists a set B such that for any element x, x is an element of B if and only if x is an element of A and satisfies the condition P(x).

In other words, given a set A, we can define a new set B that consists of all elements of A that satisfy a given condition P(x).

Hence , the axiom of separation is solved

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Answer:

y = - [tex]\frac{4}{5}[/tex] x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{4}{5}[/tex] and y - intercept = (0, - 4 ) ⇒ c = - 4

y = - [tex]\frac{4}{5}[/tex] x - 4 ← equation of line

Hello !

Answer:

[tex]\boxed{ \sf a =3 }[/tex]

Step-by-step explanation:

We want to find the value of a that satisfies the following equation :

[tex]\sf 24 = 6(3a - 5)[/tex]

First, let's expand the right side :

[tex] \sf 24 = 6 \times 3a + 6 \times ( - 5) \\\sf 24 = 18a - 30[/tex]

Now let's add 30 to both sides of the equation :

[tex] \sf 24 + 30 = 18a - 30 + 30 \\ \sf54 = 18a[/tex]

Finally, let's divide both sides by 18 :

[tex] \sf\frac{54}{18} = \frac{18a}{18} \\ \boxed{ \sf a =3 }[/tex]

Have a nice day ;)

They are 68.27% of emergency calls have a firefighter response time between 7 and 11 minutes.

To determine the percentage of emergency calls with a firefighter response time between 7 and 11 minutes, we need to calculate the area under the normal distribution curve between these two values.

First, let's standardize the values of 7 and 11 using the z-score formula:

z1 = (7 - mean) / standard deviation

= (7 - 9) / 2

= -2 / 2

= -1

z2 = (11 - mean) / standard deviation

= (11 - 9) / 2

= 2 / 2

= 1

Next, we can use a standard normal distribution table or a statistical calculator to find the area under the curve between these z-scores.

The area between z = -1 and z = 1 represents the percentage of emergency calls with a firefighter response time between 7 and 11 minutes.

Using a standard normal distribution table, we get between z = -1 and z = 1 is approximately 0.6827.

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Answer:

yes agreed

Step-by-step explanation:

a+a=2a

b+b=2b

=2a+2b

Based on law of sine, the value of angle C is equal to 94.5 degree.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

we have, by law of sines,

We will use the law of sines to find c as;

sin c                sin 97.5

--------------- = -------------

14.5                      13.7

(13.7)sin c= 14.5 sin 97.5

sin c =  14.5 sin 97.5 / (13.7)

sin c = - 0.1168

Angle c = 94.5

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Answer:

30°

Step-by-step explanation:

angles on a straight line add up to 180°.

angles in a triangle add up to 180°.

XYZ = 180 - 105 = 75°.

angle YZX = 180 - 2x.

so we have YZX + 2x = 180, YZX = 180 - 2x.

angles in triangle add up to 180:

x + YZX + 75 = 180,

x + (180 - 2x) + 75 = 180,

-x + 180 + 75 = 180,

-x = 180 - 180 - 75 = -75,

x = 75°.

YZX = 180 - 2x = 180 2(75) = 180 - 150 = 30

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

The statements that are true of the dot plot of the recent math assignment include:

The dot lot shows that the math scores from the assignment are:

5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9

This means that the number of math scores are 20 in total. There are no gaps in the data as from the score of 5, there is a consecutive score till 9.

The data is also clustered around 8 and 9 scores as most people scored either 8 or 9.

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Answer: 12^2

Step-by-step explanation:

The formula for the Pythagorean Theorem is a^2+b^2=c^2

We are given a & c.

9^2 + b^2 = 12^2

12^2 = 255

9^2 = 81

225 - 81 = 144

[tex]\sqrt{144}[/tex] = 12

Therefore 12^2 is your correct answer.

Answer:

See below for an explanation

Step-by-step explanation:

The function [tex]f(x)=\sin(x)[/tex] oscillates between -1 and 1 as it should with equal periods of 2π, but [tex]f(x)=\sin(\sqrt{x})[/tex] has increasingly longer periods of oscillations because of the exponent for x being small (recall that [tex]\sqrt{x}=x^{\frac{1}{2}}[/tex]). If the exponent were to increase, the frequency of these oscillations increase substantially.

I hope this explanation helps!

Check the picture below.

I usually like to see sine and cosine as a distance of a "dark light" over the circle as you see there in the picture, so if the flashlight moves up, the vertical shadow(sine) becomes larger and the horizontal shadow(cosine) becomes smaller, and the same happens on all four Quadrants as the flashlight moves over the arc.

If we look at the value tables there, let's notice, whilst "x" is less than 10 is all honky dory all positive for sine, we hit x = 10 and kaboom it turns negative, thus the drop you see in the sinusoid curve above at x =  10 or close, not exactly but very close.

well, by the time x = 9.5, its root becomes about 3.08 radians and sine of that is still positive, recall, π is about 3.1416 radians, and below π radians, the vertical shadow drops to the III and IV Quadrants, thus negative, so if we square say 3.1416², which is about 9.87, so when "x" is about 9.87, its root will turn to close to 3.1416 radians and sine of that will run to the negative, having the drop you see above, then it goes back up and then back down like any sinusoidal curve as the values of the angle iterate over the Quadrants.

The statement means that for the set X there exist another set Y where each member x in X has a unique element y satisfying (x, y), and Y contains exactly those y values.

A key axiom in set theory is the Axiom Schema of Replacement. It claims that for any set theory formula (x, y), if a set A exists, then there exists a set B where each member x in A has a unique element y satisfying (x, y), and B contains exactly those y values.

To put it another way, it enables us to "replace" components of a set A with their equivalent images in accordance with a specified formula to create a new set B.

The existence of sets acquired through specific replacement processes is guaranteed by this postulate.

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The number of more hotdog buns than kaya buns there are in the bakery, obtained from the fractions and ratios of the number of buns are 192 hotdog buns

A ratio is a quantitative representation of the number of times one quantity is contained in another quantity.

The fraction of the buns that are coffee buns = 3/11

The amount of the hotdog buns and kaya buns = The rest of the buns

The ratio of the hotdog buns to the kaya buns = 7 : 5

The total number of hotdog buns and kaya buns = 720 more than the number of coffee buns

The difference between the number of hotdog buns and kaya buns are therefore;

Let x represent the number of buns in the bakery

The number of coffee buns = 3·x/11

The number of hotdog buns and kaya buns = x - 3·x/11 = 8·x/11

8·x/11 = 3·x/11 + 720

Therefore;

8·x/11 - 3·x/11 = 720

5·x/11 = 720

5·x = 11 × 720 = 7920

x = 1584

The number of hotdog buns and kaya buns = 8×1584/11 = 1152

The number of hotdog buns = (7/(7 + 5)) × 1152 = 672

The number of kaya buns = (5/(7 + 5)) × 1152 = 480

The difference = 672 - 480 = 192

Part of the question, obtained from a similar question posted on the internet is; How many more hotdog buns than kaya buns are there in the bakery.

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11 x (7 + 5) = 132

(3/11) x 132 = 36 (coffee)

(8/11) x 132 = 96 (hotdog and kaya)

96 – 36 = 60

720/60 = 12

(2/12) x 96 = 16

16 x 12 = 192

Answer:

84

Step-by-step explanation:

300 times .28 = 84.

Answer: 28% of 300 is 84

Step-by-step explanation:

Write 28% as 28/100.

Since, finding the fraction of a number is the same as multiplying the fraction with the number, we have

28/100 of 300 = 28/100 × 300 OR 0.28 x 300

When you multiply them together, you would get 84. Therefore, the answer to the following would be 84. Hope this helps!

-From a Fifth Grade Honors Student!

Answer: The cost of each sandwich (S) is $4 and the cost of each bottle of water (B) is $2.

Step-by-step explanation:

10S + 6B = 52 (Equation 1) -- Ramon's purchase

1S + 3B = 10 (Equation 2) -- Wallace's purchase

To solve these equations, we can use a method called substitution. We'll solve Equation 2 for S and substitute it into Equation 1:

From Equation 2, we can isolate S:

1S = 10 - 3B

S = 10 - 3B

Substituting S into Equation 1:

10(10 - 3B) + 6B = 52

100 - 30B + 6B = 52

100 - 24B = 52

-24B = 52 - 100

-24B = -48

B = -48 / -24

B = 2

Now, substitute the value of B back into Equation 2 to find S:

S + 3(2) = 10

S + 6 = 10

S = 10 - 6

S = 4