i need to know as soon as possible!! thanks

Answer:

Triangular Prism

Step-by-step explanation:

Number of clients who do not play either the piano or the guitar is 22

To find the number of clients who do not play either instrument, we need to subtract the number of clients who play either the piano or the guitar or both from the total number of clients.

Let A be the set of clients who play the piano, and B be the set of clients who play the guitar. Then, we can use the formula A union B

|A ∪ B| = |A| + |B| - |A ∩ B|

where |A ∪ B| is the number of clients who play either the piano or the guitar or both, |A| is the number of clients who play the piano, |B| is the number of clients who play the guitar, and |A ∩ B| is the number of clients who play both instruments

Substituting the given values, we get

|A ∪ B| = 46 + 58 - 17

|A ∪ B| = 87

Therefore, the number of clients who do not play either instrument is:

109 - 87 = 22

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Answer:

Multiply the number in the parantheses by 3. Then subtract them.

Step-by-step explanation:

Answer:

14c-23e

Keep in mind the 5d-5d=0, which is why it's not in the final answer.

Step-by-step explanation:

Set up a ratio

EF is to JK    as   CF is to GK

60/40 = CF/38

 then    38 * 60/40 = CF = 57  units

The length of the arc intercepted by a central angle of 1.1 radians is 6.6 cm.

A central angle is an angle with its vertex at the center of a circle and its rays extending out to the edge of the circle, creating an intercepted arc.

The length of the arc intercepted by a central angle of 1.1 radians can be found by using the formula:

Length of arc = (central angle / 2π) × 2πr

where r is the radius of the circle.

Plugging in the given values, we get:

Length of arc = (1.1 / 2π) × 2π(6)

Length of arc = 1.1 × 6

Length of arc = 6.6 cm

Therefore, the length of the arc intercepted by a central angle of 1.1 radians is 6.6 cm.

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If we substitute equation (2) into (1) then we have the equivalent equations; y = 5 - x and 5 - x = 9x².

An equation must contain two sets of variables, the independent variable and the dependent variable separated by the equality sign.

In this case, the original system of equations are; y = 9x² and x + y = 5. It the follows that, if we substitute equation (2) into (1) then we have the equivalent equations; y = 5 - x and 5 - x = 9x².

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Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent:

m∠XWY = 90°

So:

  90° + 58° + x - 7° = 180°

    141° + x = 180°

        x = 39°

Answer:

length = 9 in and width = 4 in

Step-by-step explanation:

let w represent width then length = w + 5

the area ( A) of a rectangle is calculated as

A = width × length

given A = 36 then

w(w + 5) = 36

w² + 5w = 36 ( subtract 36 from both sides )

w² + 5w - 36 = 0 ← in standard form

(w + 9)(w - 4) = 0 ← in factored form

equate each factor to zero and solve for w

w + 9 = 0 ⇒ w = - 9

w - 4 = 0 ⇒ w = 4

However w > 0 , then w = 4 and

length = w + 5 = 4 + 5 = 9

that is width = 4 inches and length = 9 inches

The point (-3, -1) satisfies the parametric equations x = 2t, y = 8t^2 + 10t - 3 and lies on the plane curve defined by these equations. The other points (2,1), (1,2), and (-1,3) do not satisfy the equations and do not lie on the curve.

Among the given options, the point (-3, -1) is the only one that lies on the plane curve defined by the parametric equations x = 2t, y = 8t^2 + 10t - 3.

To determine if a point is on the plane curve, we substitute the x and y values of the point into the parametric equations and check if they satisfy the equations.

For the point (-3, -1), substituting x = -3 and y = -1 into the parametric equations:

-3 = 2t

-1 = 8t^2 + 10t - 3

Solving the first equation gives t = -3/2, and substituting it into the second equation gives -1 = 8(-3/2)^2 + 10(-3/2) - 3. Simplifying the equation, we get -1 = 9 + (-15) - 3, which is true.

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As angles opposite congruent sides in a triangle are congruent, and also since the interior angles of a triangle add to 180 degrees, if we let angle EFG have a measure of x, then angle GEF also measures x, and thus:

82+x+x=180

2x=98

x=49

Thus, angle EFG is 49 degrees.

So, by the exterior angle theorem, angle DEG measures 82+49=131 degrees

The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Answer: \(\frac{33}{65}\)

Step-by-step explanation:

cosine of ∠T = \(\frac{adjacent}{hypotenuse}\)

For ∠T,

cosine of ∠T = \(\frac{33}{65}\)

The value of the trigonometric relation cos ∠T = 0.507

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔTUV

where the measure of ∠UVT = 90°

And , the measure of side UT = 65 units

The measure of VU = 56 units

And , the measure of TV = 33 units

From the trigonometric relations ,

cos θ = adjacent / hypotenuse

On simplifying , we get

cos ∠T = TV / UT

cos ∠T = 33 / 65

cos ∠T = 0.50769

Hence , the trigonometric relation is solved

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total number of students = 8

each student = 18 chocolate

so, total number of chocolates = 18×8 = 144 chocolate s

Answer:

C=-2

Step-by-step explanation:

Plus 14 to both sides then divide both side by -5

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

24

Step-by-step explanation:

Hi hi ok so heres how you do this:

This is a right triangle cause of the lil' red angle indication.

So, we use Pythagorean theorem.

a^2+b^2=c^2

Now, we have a and c(or b and c. A and B are interchangeable)

10^2+b^2=26^2

100+b^2=676

676-100=576

Now, square root of 576 is 24.

the other leg is 24

Answer:

25 cm

Step-by-step explanation:

Using the Pythagorean Theorem (a^2+b^2=c^2 FOR RIGHT TRIANGLES ONLY), you see that 10^2+b^2=26^2, and the answer is b=25 cm.

BTW=10, 25, 26 is a pythagorean triple

The hiker's elevation after 150 minutes is given as follows:

1998.5 feet.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

For this problem, the function is given as follows:

y = 9.01x + 647.

Giving the hiker's elevation after x minutes.

Hence the hiker's elevation after 150 minutes is found with the numeric value at x = 150, replacing the lone instance of x by 150, hence:

y = 9.01(150) + 647 = 1998.5 feet.

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The value of angle C using sine rule is 25.84°.

The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle.

To calculate the value of angle C, we use the sine rule formula below

Formula:

From the question,

Given:

Substitute these values into equation 1

Solve for angle C

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The information given to us shows that triangles XYZ and JKL is not enough to prove they are congruent by AAS, ASA, nor SAS.

Thus, the information given to us shows that triangles XYZ and JKL is not enough to prove they are congruent by AAS, ASA, nor SAS.

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An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The algebraic expression of two divided by the sum of a and four is

2 ÷ (a + 4)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Two divides the sum of a and four.

This can be written as:

2 ÷ (a + 4)

Thus,

The algebraic expression of two divided by the sum of a and four is

2 ÷ (a + 4)

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Answer:512

Step-by-step explanation:

8^3

9514 1404 393

Answer:

  a) yes; 12/15/17 ~ 20/25/x; SAS

  b) x = 28 1/3

Step-by-step explanation:

The left-side segments are in the ratio ...

  top : bottom = 12 : 8 = 3 : 2

The right side segments are in the ratio ...

  top : bottom = 15 : 10 = 3 : 2

These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.

Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:

  12/15/17 ~ 20/25/x

__

The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:

  x = 17/12 · 20 = 340/12

  x = 28 1/3

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Answer:

EF = 0.6

Step-by-step explanation:

Tangent CD touches the circle at D

⇒ CD⊥ DO

⇒ ∠CDO = ∠CDF = 90°

⇒ CDF is a right angled triangle

⇒ CD² + DF² = CF²

⇒ 2.4² + 1.8² = CF²

⇒ CF² = 9

⇒ CF = √9

⇒ CF = 3

Also,

⇒ CF = CE + EF

⇒ CE + EF = 3 -----------eq(1)

The tangents to a circle from an external point are equal lenght

Here C is the external point

⇒ CD = CE

⇒ CE = 2.4

sub in eq(1),

2.4 + EF = 3

⇒ EF = 3 - 2.4

⇒ EF = 0.6

Answer: Multiply 12 and 5 (by the same number) and add them to get whatever total ml of crayon wax is specified.

Ex: Total ml divided by 17, then find how many parts are red(12ml) and white(5ml)

Step-by-step explanation:

Blair received 15 bars as the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients.

The weighted average is calculated by adding up all the variables, multiplying by their weight, and dividing by the sum of the weights. Instead of treating each item equally, a weighted average or mean multiplies each item being averaged by a number based on its relative importance. The weights or weightings correspond to including that many comparable items of the same value in the average.

Here,

The average weight of the bars given to Brennan (light), Blair, and Maya was higher than the average weight of the bars given to the other two recipients (heavy).

Let X represent the combined weight of all the bars.

The weight of the bars Brennan was given was equal to 45% of X, or 0.45X.

Maya was given bars that weighed 26% of X, or 0.26X.

The weight of the bars Claire was given was the rest, or 29% of X, or 0.29X.

Brennan received bars with an average weight of 0.45 x/ 24.

The weight of the Maya-received bars, on average, is 0.26X/13.

Similar to the previous example, if Blair receives B bars, then their average weight is 0.29X/B.

Similarly, the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients. So blair received 15 bars.

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2a , 1st exp= a2 + ab

= a(a+b)

2nd exp = a2-b2

= (a+b) (a-b)

HCF = (a+b)

b, 1 st exp= (a+b)2

= (a+b)(a+)

2 nd exp = a2-b2

= (a+b) ( a-b)

HCF = (a+b)

c, 1 st exp= (a-1)2

= (a+1) (a-1)

2nd exp= a2-1

= (a+1)(a-1)

HCF = (a-1)

d, 1st exp= (x-2)(x-3)

= x(x-3)-2(x-3)

= x2 - 3x - 2x + 6

= x2- 5x+ 6

= x2 - (3+2)x + 6

=x2 -3x-2x+ 6

= x(x-3) -2(x-3)

=(x-3)(x-2)

2 nd exp = (x+2) (x-3)

= x( x-3) + 2 (x-3)

= x2 - 3 x+ 2x -6

= x(x-3) + 2(x-3)

=(x-3) ( x+ 2)

HCF = (x-3)

Sample:

19, 22, 26, 27, 30 , 32, 35, 35

The mean is given by the following formula:

Where n is the size if the sample, in this case n=8.

Replacing the values:

The mean is 28.3.

Median:

To find the median of the sample we are going to find the values that are in the middle of the sample, in this case:

27 and 30 are the data. Therefore, the median is:

The median is: 28.5.

Mode:

The mode is the value that occurs most frequently in the sample, in this case:

The mode is 35.

Standard desviation:

The standar desviation is given by the following formula:

Where, mu is the mean=28.3, n the size of the sample=8 and Xi each value of the sample. Replacing:

The standar desviation is: 5.47, approximately=5.5.