MATHEMATICS HIGH SCHOOL

The word ‘over’ is to show a fraction btw
10 over x-4 = 6

Answers

Answer 1

Answer:

Answer:

x = $(17)/(3)$

Step-by-step explanation:

$(10)/(x-4)=6\n\n$

10 = 6*(x -4)

10 = 6*x - 6*4

10 = 6x - 24

Add 24 to both sides

10 + 24 = 6x - 24 + 24

34 = 6x

6x = 34

Divide both sides by 6

6x/6 = 34/6

x = $(17)/(3)$

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What is the surface area of the square pyramid below?A square pyramid. The square base has side lengths of 6 centimeters. The triangular sides have a height of 10 centimeters.
120 cm2
132 cm2
156 cm2
276 cm2

Answers

Since the squarebase has side 6 cm and triangular side has height 10 cm, the total surface area of square pyramid is 156 cm²

What is the Total surface area of a square pyramid?

A square pyramid has a square base and four triangular sides, its surface area, A = area of square base + 4 × Area of triangular side.

Area of square base

Area of square with side, L is A = L²

Area of triangularbase

Area of triangle with height and base, L which is the length of the square base is A' = 1/2Lh

Thus, total surface area of square pyramid ,

A" = L² + 4 × 1/2Lh

= L² + 2Lh

Given that the length of the square base is 6 cm and the height of the triangular side is 10 cm.

Now substituting the values of the variables intot he equation, we have

A" = L² + 2Lh

A" = (6 cm)² + 2 × 6 cm × 10 cm

A" = 36 cm² + 120 cm²

A" = 156 cm²

So, the total surface area of square pyramid is 156 cm²

Learn more about total surface area of squarepyramid here:

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Answer:

C) 156cm²

Step-by-step explanation:

1. 6x6=36

2. 6x10=60

3. 60/2=30

4. 30x4=120

5. 120+36=156cm²

Enzo is making a scale drawing of the rectangle below.A rectangle has a length of 8 centimeters and width of 5 centimeters.

Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

Answers

Answer:

Enzo is not correct because he did not multiply the length and width by the same factor.

I do not think Enzo is not correct because he did not multiply the length and width by the same factor.

he is making a drawing of the rectangle below.

A rectangle has a length of 8 centimeters and width of 5 centimeters.

Suppose a new rectangle will have the length of 16 cm.

Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Enzo is not correct because he did not multiply the length and width by the same factor.

Answer:

Enzo is not correct because he did not multiply the length and width by the same factor.

Step-by-step explanation:

The quadrilaterals JkLM and PQRS are similar.find the length x of QR.

Answers

Two quadrilaterals are similar if corresponding sides taken in the same sequence (even if clockwise for one quadriateral and counterclockwise for the other) are proportional and corresponding angles taken in the same sequence are equal in measure.
If the quadrilaterals JKLM and PQRS are similar, then

$(JK)/(PQ) = (KL)/(QR) = (LM)/(RS) = (JM)/(PS)$ .
Hence
$(4)/(QR) = (3)/(4.8) = (5)/(8) = (3)/(4.8)$ and
$QR= (4\cdot 8)/(5) =6.4$ .

3/4.8=4/x
3x=19.2
x=6.4

How are fractions and decimals related

Answers

Decimals are a type of fractional number. The decimal 0.5 represents the fraction5/10. The decimal 0.25 represents the fraction 25/100. Decimal fractions always have a denominator based on a power of 10.

when you divide a fraction that can turn into a decimal.

Melissa sells 4 hats for a total of $68.64 before tax.How many hats does Melissa sell if the total is $154.44 before tax

A, 7

B. 8

C. 9

D. 10

Answers

For this case, the first thing we must do is find the unit cost.

We have then:

$C = \frac {68.64} {4}\nC = 17.16$

We now look for the number of hats that can be purchased with $ 154.44.

We have then:

$N = \frac {154.44} {17.16}\nN = 9$

Therefore, you can buy 9 hats with $ 154.44.

Answer:

Melissa sells 9 hats.

C. 9

C. 9
$68.64/4=17.16
$154.44/17.16=9

state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

Answers

Answer:

domain (-∞, ∞)
range (-∞, 4]
increasing (-∞, 0)
decreasing (0, ∞)
constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

Final answer:

The domain of a function refers to all possible inputs while the range comprises all potential outputs. The function increases, decreases, or remains constant when the respective slope is positive, negative, or zero. I've provided an explanation based on the indication of the respective slopes described in your problem.

Explanation:

To determine the domain, range, and intervals of increase, decrease, or constant for a function, we need to examine the specific input and output values as well as the curvature of the function.

Domain of a function refers to all possible input values (x-values). For example, in the probability distribution function (PDF), the domain may include all numerical values or could be expressed through a non-numerical set such as different hair colors. From the provided information, I can deduce that the domain of X is {English, Mathematics, ...} - a list of all majors offered at the university, indicating all the possible inputs of this function. The domain of Y and Z are numerical, from zero up to an upper limit.

Range of a function is all the potential output values (y-values). The range is usually derived from the domain values after undergoing certain transformations via the function. Unfortunately, without further specifics about the function, I can't provide a conclusive range.

For intervals of increase, decrease, or constant, you look at the slope of the function. A function is increasing on an interval if the y-value increases as the x-value increases. Contrary to this, a function is decreasing on an interval if the y-value decreases as the x-value increases. If the y-value remains constant as the x-value varies, the function is constant on that interval. Different parts of your provided solutions indicate the function starts with positive slope (increasing), then levels off (becomes constant).