HELP PLEASE!! this is geometry 45°-45°-90° and 30°-30°-60° triangles

Step-by-step explanation:

⎡02413524−6⎦⎥⎥⎤ and B=⎣⎢⎢⎡−10021030−1⎦⎥⎥⎤

∴4A=⎣⎢⎢⎡081641220816−24⎦⎥⎥⎤ and 6B=⎣⎢⎢⎡−600126080−6⎦⎥⎥⎤ 

⇒4A−6B=⎣⎢⎢⎡0−(−6)8−016−04

Step-by-step explanation:

use Pythagoras theorem

\(b = \sqrt{h ^{2} - p ^{2} } \)

Answer:

62

Step-by-step explanation:

DEH is an isoceles triangle, so Angle DEH anf angle EHD are congruent.

180-56 = 124

124 / 2= 62

it is delivered with the help of short note or a clear outline

Answer:

it means that 5000 was 30 percent of them

so ask your self if 30 is 5000

100 ?

Step-by-step explanation:

30. 5000

100. x

100*5000/30=16666

The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.

In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.

The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.

By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.

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Answer:

54

Step-by-step explanation:

The LCM of 18 and 27 is 54

Answer:

9 pieces

Step-by-step explanation:

first convert 40cm to m by dividing by 100cm

then divide 3.6m by 0.4 then the ans will come.

A) There are 9 strings each of length of 40 cm.
B) 0.20, 5/12, 75% is already in the ascending order.
C) The bearing of Klayton from Lakeshore is also 196°.

In mathematics, it deals with numbers of operations according to the statements.

A) A 3.6 m long string is to be cut into pieces, each of length 40 cm.
3.6 m = 3.6 * 100cm
3.6 m = 360 cm
Let the number of stings be x
x * 40 = 360
x = 360 / 40
x = 9
there are 9 strings each of length of 40 cm.

Arranging the following in ascending order of magnitude: 0.20, 5/12, 75%
0.20, 5/12, 75% is already in the ascending order.

The bearing of Lakeshore from Klayton is 196°. The bearing of Klayton from Lakeshore is also 196°.

Thus, the answers to the given problem are calculated above.

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To rotate a coordinate system onto another coordinate system using vectors, Define the original and target coordinate systems, Calculate the rotation matrix, Express the vectors or points you want to rotate, Multiply the rotation matrix by the vector or point.

To rotate a coordinate system onto another coordinate system using vectors, you can follow these steps:

By following these steps, you can effectively rotate a coordinate system onto another coordinate system using vectors. The rotation matrix plays a key role in the transformation, as it encodes the rotation information necessary to align the coordinate systems.

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Answer:

A

Step-by-step explanation:

the Least common factor is 12

17/3 (x-3/2) =-5/4

17/2x -17/2 =-5/4

12*17/3x -12*17/2 = 12*-5/4

4*17x - 6*17= 3*-5

68x -102= -15

68x= 102-15

68x= 87

x=87/68

The average value of f(x) over the interval [a,b] is: (1/(b-a)) (2/3) [(b³+1)^(3/2) - (a³+1)^(3/2)]

To find the average value of f(x) = x²√(x³+1) over the interval [a,b], we need to compute the integral of f(x) over that interval and divide by the length of the interval (b-a):

Average value of f(x) = (1/(b-a)) ∫[a,b] f(x) dx

First, we need to compute the integral of f(x) over [a,b]. We can do this by using the substitution u = x³+1, which gives du/dx = 3x² and dx = du/(3x²):

∫[a,b] f(x) dx = ∫[a³+1,b³+1] x²√u du/(3x²)

                  = (1/3) ∫[a³+1,b³+1] √u du

                  = (2/3) [u^(3/2)]_a³+1^b³+1

                  = (2/3) [(b³+1)^(3/2) - (a³+1)^(3/2)]

Next, we divide this integral by the length of the interval (b-a):

Average value of f(x) = (1/(b-a)) ∫[a,b] f(x) dx

                            = (1/(b-a)) (2/3) [(b³+1)^(3/2) - (a³+1)^(3/2)]

Therefore, the average value of f(x) over the interval [a,b] is:

(1/(b-a)) (2/3) [(b³+1)^(3/2) - (a³+1)^(3/2)]

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Answer:

C. 100

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

2.52

Step-by-step explanation:

The probability of being a goalkeeper today is 0.42, or 42%.

To determine the probability of being a goalkeeper today, we need to consider the probabilities associated with each coach and their likelihood of coaching.

Given:

- Probability of being goalkeeper with Coach Sam: 0.5

- Probability of being goalkeeper with Coach Alex: 0.3

- Probability of Coach Sam being the coach today: 0.6

To calculate the probability, we can use the concept of conditional probability.

Probability of being a goalkeeper today = (Probability of Coach Sam being the coach today) * (Probability of being a goalkeeper with Coach Sam) + (Probability of Coach Alex being the coach today) * (Probability of being a goalkeeper with Coach Alex)

Substituting the given values:

Probability of being a goalkeeper today = (0.6 * 0.5) + (0.4 * 0.3)

Probability of being a goalkeeper today = 0.3 + 0.12

Probability of being a goalkeeper today = 0.42

Therefore, the probability of being a goalkeeper today is 0.42, or 42%.

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The 90% confidence interval for the mean length of stay for patients with abdominal surgery is [5.64, 5.86].

The formula for the confidence interval is given by: \($CI=\bar{X}\pm Z_{\alpha/2} \times \frac{S}{\sqrt{n}}$\)

Given data:Sample size, n = 2121,Sample mean, \($\bar{X}$\) = 5.75,Sample standard deviation, S = 1.11 Confidence interval, CI = 90%

Now, we need to find the value of Zα/2 from the Z-table.

The value of α/2 is given by 1-90/100 = 0.1.

Therefore, α/2 = 0.05.From the Z-table, we can find the Z-value corresponding to 0.05, which is 1.645.

Substituting all these values in the formula, we get:\(\[\begin{aligned}CI&=\bar{X}\pm Z_{\alpha/2} \times \frac{S}{\sqrt{n}}\\&=5.75\pm 1.645 \times \frac{1.11}{\sqrt{2121}}\\&=5.75\pm 0.106\\&=[5.64, 5.86]\end{aligned}\]\)

Therefore, the 90% confidence interval for the mean length of stay for patients with abdominal surgery is [5.64, 5.86].

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Answer:

15.59 cm^2

Step-by-step explanation:

Given formula for area= √(3s^4)/4

We have, a=6cm

Area= √(3s^4)/4 = √(3*6^4)/4 =√(3*1296)/4 =√3888/4 ≈ 62.35/4 ≈ 15.59 cm^2

Answer:

There are 8 nickels and 14 pennies

Step-by-step explanation:

Represent the number of pennies by p and nickels by n.  Then:

p + n = 22, or n = 22 - p

Coin values:

($0.01/penny); ($0.05/nickel).  Therefore, the relation showing the amounts of money involved is:

($0.01/penny)p + ($0.05/nickel)n = $0.54.

But we found earlier that n = 22 - p.  Therefore, the previous equation becomes:

($0.01/penny)p + ($0.05/nickel)(22 - p) = $0.54.

Multiply all three terms by 100 to eliminate the decimal fractions:

1p + 5(22 - p) = 54, or:

1p + 110 - 5p = 54, or:

-4p = -56

Thus, p = 14.  If p = 14, then n = 22 - 14 = 8.

There are 8 nickels and 14 pennies.

Check:  8($0.05) + 14($0.01) = $0.54 (correct)

Answer:

Step-by-step explanation:

Easy...

a=.5bh

so, .5*18*15= 135 in^2.

It looks like it has about four triangular sides, so just multiply that number four times.

135*4= 540

add the base

a=lw

=15*15

=225

540+225= 765 in^2

Let's hope.  A better photo next time would definitely help....;)

Answer:

Not sure how you would word it but the bigger triangle is 2 times larger than DEF.

Step-by-step explanation:

DE=4

AE=4

4+4=8

AD=8

Hope this helps!!

The scale factor used to create DAB from triangle DEF is 2.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

The length of the base of the triangle DEF is 4 units and of DAB is 8 units.

The length of the height of DEF is 3 units and that of DAB is 6 units.

From this, we conclude that the scale factor is 2 as 8 is a multiple of 2×4 and 6 is a multiple of 2×3.

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Answer:

Interval Notation: (-∞, ∞)

Any value of x makes the equation always true.

There is no other answer.

The segment AB is a radius and the notation is ↔ AB

From the question, we have the following parameters that can be used in our computation:

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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Answer:

The scale factor to transform DEF to D'E'F' is 1/2

Step-by-step explanation:

DEF is

D(-8, 6), E(-8, 14), F(2, 3)

D'(-3, 6), E'(-3, 10), F'(2, 4.5)

Therefore;

DE = √((-8-(-8))²+(6-14)²) = 8

D'E' = √((-3 -(-3))² + (6 - 10)²) = 4

Similarly,

EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221

E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2

Also

DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109

D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2

Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2

That is the scale factor of DEF to D'E'F'  = 1/2.

Answer:

x = 44

Step-by-step explanation:

4+4+2x+2x= 96

-(add like terms)

8+4x=96

-(subtract 8 from both sides)

4x=88

-(divide by 4 on both sides to get you x alone)

x=44

Answer:

x = 8

Step-by-step explanation:

2 x+ 4

2 x 4 = 8

8 ÷ 2 = 4

Answer:

x = 8

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular.  [Each angle is 90°]

The equation of line NG is \(Y=\dfrac12 X-6\).

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope =\(\dfrac12\)

Let slope of LG be n, then

\(n\times \dfrac{1}{2}=-1\) [Product of slopes of two perpendicular line =-1]

\(\Rightarrow n=-2\)

Equation of a line passes through (a,b) and have slope m is given by :-

\((y-b)=m(x-a)\)

Equation of LG :

\((y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9\) [In intercept form]