need answer and explanation for this ​

Answer:

Let s be the number of squares and t be the number of triangles.

s + t = 17---->4s + 4t = 68

4s + 3t = 64---->4s + 3t = 64

----------------- -----------------

t = 4, s = 13

4 triangles, 13 squares

The reduced row echelon form of the matrix is given as follows:

[tex]\left[\begin{array}{cccc}1&0&0&-7\\0&1&0&2\\0&0&1&4\end{array}\right][/tex]

The row echelon form of a matrix contains the entire matrix except the last column in the format of an identity matrix, with the last column containing the solution to the system of equations represented by the matrix.

Considering the matrix, the system of equations is given as follows:

Multiplying the last equation by 2 and adding with the second equation, the value of y is obtained as follows:

-4y = -8

4y = 8

y = 2.

The value of z is given as follows:

z = 6 - y

z = 4.

The value of x is given as follows:

7x = -63 + y + 3z

7x = -63 + 2 + 14

7x = -49

x = -7.

Hence the row-echelon form of the matrix is given as follows:

[tex]\left[\begin{array}{cccc}1&0&0&-7\\0&1&0&2\\0&0&1&4\end{array}\right][/tex]

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Answer:

34.1

Step-by-step explanation:

In this case we have supplementary information that is not required to find the length of [tex]x[/tex].
A screenshot is provided below with the other values.

The value of the volume of this rectangular pyramid is,

⇒ V = 192 m³

We have to given that;

In rectangular pyramid,

Lenght = 8 m

Width = 9 m

Height = 8 m

Hence, The volume of this rectangular pyramid is,

⇒ V = 1/3 x Length x width x height

⇒ V = 1/3 × 8 × 9 × 8

⇒ V = 192 m³

Thus, The value of the volume of this rectangular pyramid is,

⇒ V = 192 m³

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Answer: 23.666

(if you would like an explanation please let me know)

Answer:

2

Step-by-step explanation:

To determine the number of real solutions of the quadratic equation `y = -3x^2 + x + 12`, we can use the discriminant formula `b^2 - 4ac`.

First, we identify the values of a, b, and c:

a = -3

b = 1

c = 12

Next, we substitute these values into the discriminant formula:

b^2 - 4ac = (1)^2 - 4(-3)(12) = 145

Since the discriminant is positive (and not equal to zero), the quadratic equation has two distinct real roots. Therefore, the number of real solutions is 2.

A pyramid is a solid figure with a base that is a polygon and sides that are triangles that meet at the top.

Answer: A solid figure with a base that is a polygon and sides that are triangles that meet at the top.

Step-by-step explanation: A pyramid consists of a polygonal base and sides that are triangles. A polygon is a 2D shape that only has straight lines that enclose an area.

The measure of the height of an equilateral triangle with a side length of 6 is 3√3.

We have,

In an equilateral triangle, all three sides are equal, and all three angles are also equal.

To calculate the height of an equilateral triangle, we can use the formula:

Height = (√3 / 2) x side

Given that the side length of the equilateral triangle is 6, we can substitute this value into the formula to find the height:

Height = (√3 / 2) x 6

Height = (√3) x 3

Simplifying, we have:

Height = 3√3

Therefore,

The measure of the height of an equilateral triangle with a side length of 6 is 3√3.

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The complete question.

Calculate the measure of the height of an equilateral triangle of side 6

Answer=

-17/12 should be subtracted from-5/12 to get the answer 1

Mark me as brainlist pls...

Answer:

To find the equation in standard form for the circle that has a diameter with endpoints (4,-7) and (-12,-7), we first need to find the center and radius of the circle.

The center of the circle is the midpoint of the diameter, which can be found using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the diameter.

Using (4,-7) and (-12,-7) as the endpoint coordinates, we get:

Midpoint = ((4 + (-12))/2, (-7 + (-7))/2) = (-4, -7)

So the center of the circle is (-4, -7).

The radius of the circle is half the length of the diameter, which is:

Radius = 1/2 × distance between (4,-7) and (-12,-7)

Radius = 1/2 × (4 - (-12)) = 8

So the radius of the circle is 8.

Now we can write the equation of the circle in standard form:

(x - h)² + (y - k)² = r²

Where (h,k) is the center of the circle and r is the radius.

Substituting the values we found, we get:

(x - (-4))² + (y - (-7))² = 8²

Simplifying this equation, we get:

(x + 4)² + (y + 7)² = 64

Therefore, the equation in standard form for the circle that has a diameter with endpoints (4,-7) and (-12,-7) is (x + 4)² + (y + 7)² = 64.

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To solve this problem, we need to first convert the distance on the map to actual distance using the map scale.

1 cm on the map represents 50,000 cm (or 500m) in actual distance.

So, 8.5 cm on the map represents 8.5 x 500m = 4,250m in actual distance.

Now, we can use the formula: time = distance ÷ speed

Here, distance = 4,250m and speed = 10km/h = 10,000m/h

So, time = 4,250m ÷ 10,000m/h = 0.425 hours

To convert hours to minutes, we can multiply by 60:

time = 0.425 x 60 = 25.5 minutes

Therefore, it will take Myra 25.5 minutes to run from the park entrance to the beach.

Answer:

x = the number of kg of cement

3x = number of kg of sand

4x = number of kg of gravel

x + 3x + 4x = 480

8x = 480, so x = 60

60 kg of cement

3(60) = 180 kg of sand

4(60) = 240 kg of gravel

Bob will need 180 kg of sand.

Step-by-step explanation:

To solve the equation 3/(n-1) = 2n/(n+4), follow these steps:

Step 1: Cross-multiply to eliminate the fractions.

3 * (n + 4) = 2n * (n - 1)

Step 2: Distribute the terms on both sides.

3n + 12 = 2n^2 - 2n

Step 3: Move all terms to one side and set the equation to zero.

2n^2 - 5n - 12 = 0

Step 4: Factor the quadratic equation, if possible. In this case, we can factor by finding two numbers that multiply to -24 and add to -5.

(2n + 3)(n - 4) = 0

Step 5: Use the zero-product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

2n + 3 = 0 or n - 4 = 0

Step 6: Solve for 'n' in each equation.

2n + 3 = 0 => n = -3/2

n - 4 = 0 => n = 4

So, there are two possible solutions for 'n': -3/2 and 4.

Answer: n= 4 , (-3/2)

Step-by-step explanation:

Your goal is to isolate n by getting it by itself

Multiply both sides by (n-1) to get 3 = ((2n)(n-1))/(n+4)

Use distributive property on the 2n * (n-1) to get 3 = (2n^2 - 2n)/(n+4)

Multiply both sides by (n+4) to get 3n + 12 = 2n^2 - 2n

Subtract 12 and 3n from both sides to get 2n^2 - 5n -12 = 0

Solve the quadratic using any method you like

Factoring would give you (n - 4)(2n + 3) = 0

So n= 4 and -3/2

Step-by-step explanation:

Cost of house = Birr ( 200 000    + 400 x )    where x is square meters

  for 80 m^2    cost = Birr ( 200 000 + 400(80)) = Birr  232000

The value of x + y = 70 when 2 lines AB and CD intersect each other at O. If angle ∠AOD = 120 degree, ∠BOC=3y and ∠BOD = 2x.

Given that,

AB and CD 2 lines intersect each other at O. If angle ∠AOD = 120 degree, ∠BOC=3y and ∠BOD = 2x.

We have to determine the value of (x + y)​.

We know that,

In the picture we can see the two lines AB and CD intersect each other at O.

So,

From line AB a straight line has 180°.

Then ∠AOD + ∠DOB = 180°

120° + 2x = 180°

2x = 180° - 120°

2x = 60

x = [tex]\frac{60}{2}[/tex]

x = 30°

Then ∠DOB = 2x = 2(30) = 60°

And by vertically opposite angles ∠AOD = ∠COB

120° = 3y

3y = 120°

y = [tex]\frac{120}{3}[/tex]

y = 40°

Then ∠COB = 120°

So,

Now, x + y = 30 + 40 = 70

Therefore, The value of x + y = 70

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The values of all the solutions are,

16) m QT = 142 deg

17) m ∠STR = 23 deg

18) m ∠RSQ = 19 deg

Given that;

A circle is shown.

Now, We can formulate;

16|) The value of m QT is,

m QT = 2 ∠QST

         = 2 × 71

         = 142 degree

17) The value of m ∠STR is,

m ∠STR = 1/2 m ∠SXR

             = 1/2 × 46

             = 23 deg

17) Since,  ∠ RST = 90°

Then, We get;

m ∠RSQ = 90 - ∠QST

              = 90 - 71

              = 19 degree

Thus, The values of all the solutions are,

16) m QT = 142 deg

17) m ∠STR = 23 deg

18) m ∠RSQ = 19 deg

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Answer:

Therefore, Connor is correct in his explanation that the ratio of white to black marbles is 4:11.

Step-by-step explanation:

Connor is correct in his reasoning. Let's break down the problem step by step to understand why.

Given:

Ratio of white marbles to red marbles = 2:3

Ratio of red marbles to black marbles = 6:11

To find the ratio of white to black marbles, we can follow these steps:

Step 1: Consider the black marbles as the whole unit.

Let's assume there are 11 black marbles (since the ratio of red to black marbles is 6:11).

Step 2: Determine the number of red marbles.

Since the ratio of red marbles to black marbles is 6:11, out of the assumed 11 black marbles, there are (6/11) * 11 = 6 red marbles.

Step 3: Determine the number of white marbles.

Using the ratio of white marbles to red marbles (2:3), we can find the number of white marbles. Since the ratio is 2:3, the number of white marbles would be (2/3) * 6 = 4.

Step 4: Find the ratio of white to black marbles.

Now that we have determined there are 4 white marbles and 11 black marbles, the ratio of white to black marbles is indeed 4:11.

We are 95% confident that the true mean incubation period of the SARS virus lies between 2.79 and 9.01 days.

This means that if we were to sample many times from the same population, 95% of the intervals we construct would contain the true mean value.

Hence, Using a t-distribution with 86 degrees of freedom (n-1), and a 95% confidence level (α=0.05), the critical value for the two-tailed test is 1.992.

The standard error can be calculated as:

SE = SD / √n = 15.6 / √100 ≈ 1.56

The margin of error (ME) can be calculated as:

ME = t x SE = 1.992 x 1.56 ≈ 3.11

The 95% confidence interval (CI) is then:

CI = mean ± ME = 5.9 ± 3.11 = (2.79, 9.01)

Therefore, we are 95% confident that the true mean incubation period of the SARS virus lies between 2.79 and 9.01 days.

This means that if we were to sample many times from the same population, 95% of the intervals we construct would contain the true mean value.

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The value of x, considering the rectangle given at the end of the answer, is given as follows:

x = 8.

From the rectangle given at the end of the answer, the bases are given as follows:

For a rectangle, the bases are congruent, meaning that they have the same measure.

Considering that the bases are congruent, the value of x is obtained as follows:

4(x - 7) = 2(10 - x)

4x - 28 = 20 - 2x

6x = 48

x = 48/6.

x = 8.

The rectangle is given by the image presented at the end of the answer.

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The interval in which both functions are positive is the one in option C.

(3, ∞)

First, when we have a graph, to identify when the function is positive we need to see when the graph of the function is above the horizontal axis.

So here we just need to see in which interval are both curves (orange one and blue one) are above the horizontal axis.

We can see that from x = 3 and above, both of the curves are above the horizontal axis, then the interval in which both functions are positive is:

(3, ∞)

So the correct option is C.

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Answer:

The leading coefficient is 5, the degree is y+1

Step-by-step explanation:

The polynomial 12+5x^y+4x has two terms, 12 and 5x^y+4x. The leading coefficient of the polynomial is 5, which is the coefficient of the term with the highest degree. The degree of the polynomial is y+1, which is the highest power of x in any term of the polynomial after like terms have been combined. The degree is determined by adding the exponents of the variables in the term with the highest degree, which is 5x^y in this case. The exponent of x is 1 and the exponent of y is y, so the degree is y+1. Therefore, the leading coefficient is 5 and the degree is y+1.

The domain of the step function f(x) is given as follows:

{x | -4 < x ≤ 4}.

For the function graphed at the end of the answer, we have that:

Hence the domain of the step function f(x) is given as follows:

{x | -4 < x ≤ 4}.

The function is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:here it is. you did not say which grade ...

but hoping ok method .

The measurement that is the same for Charles and Jermod is the median

The dot plots show the distribution of the number of minutes that Charles and Jermod spent on homework per day for three weeks. To determine which measurement is the same for both of them, we need to compare the dot plots.

Looking at the dot plots, we can see that both Charles and Jermod have a dot at 35 minutes, indicating that they both spent 35 minutes on homework on at least one day.

Therefore, the measurement that is the same for Charles and Jermod is the median, since it is the middle value of the data when arranged in order. In this case, the median is not clearly identifiable from the dot plots

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Answer:

This line passes through (0, -9)

Slope = 2

y = 2x-9

Step-by-step explanation:

Slope intercept form is : y=mx+b (m = slope, b= y-intercept)

First, let's distribute the 2 to the (x-6).

y-3 = 2x-12

Second, set it into slope intercept form (y = mx+b) by adding 3 to both sides.

y = 2x-9

This will be the equation in slope intercept form.

After looking at the the slope intercept form, we know that m = the slope. So the since the 2 is in the place of m when in slope intercept form, m=2. this would mean that the slope = 2.

Y-intercept is the point when the line touches the y-axis. To find the y-intercept, x would have to equal 0. This would mean that the point would have to be (0, y). After looking at the slope intercept form, and comparing it with our equation in slope intercept form, we know that -9 is in the place of b. This would mean that b = -9. This would also mean that the y-intercept is equal to -9. Therefore, the point would be (0, -9).

The area of the triangle ∆NOP is derived to be 133.9 square centimeter to the nearest tenth using the sine rule.

The sine rule is a relationship between the size of an angle in a triangle and the opposing side. It states that for any triangle ABC, the ratio of the length of a side to the sine of the angle opposite that side is constant, that is;

a/sinA = b/sinB = c/sinC

where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the angles opposite those sides.

angle m∠O = 180 - (83 + 88) {sum of interior angles of a triangle}

angle m∠O = 9°

Using the sine rule;

6.5/sin9 = ON/sin88

ON = (6.5 × sin88°)/sin9 {cross multiplication}

ON = 41.5

Area of the triangle = 1/2 × 6.5cm × 41.5cm × sin83

Area of the triangle = 133.9

Therefore, the area of the triangle ∆NOP is derived to be 133.9 square centimeter to the nearest tenth using the sine rule.

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The probability of obtaining 14 successes in 19 trials with a probability of success of 0.8 is approximately 0.1025.

Using the binomial probability formula:

P(X = 14) = (n choose k) * p^k * (1-p)^(n-k)

where n is the number of trials,

p is the probability of success, and

k is the number of successes.

Plugging in the given values, we have:

P(X = 14) = (19 choose 14) * 0.8^14 * (1-0.8)^(19-14)

P(X = 14) = 0.1025 (rounded to four decimal places)

Therefore, the probability of obtaining 14 successes in 19 trials with a probability of success of 0.8 is approximately 0.1025.

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