a student is asked to find the length of the hypotenuse of a right triangle the length of the one leg is 32 cm and the length of the other leg is 26 CM Mister it is correct correctly says the length of the proposition is 7.6 cm a find the length of the hypotenuse of the right triangle to the nearest tenth a centimeter b what mistake might the student have made​

Answer:

How feasible it is to achieve

What level of schooling you need

Health benefits

Amount you are paid

The overall work ethic

Step-by-step explanation:

You need to find the four constants, a, b, c, and d. At x = -1000, you have a value for f(x).

A)Outline it:

f(-1000) = -1000 = a (-1000)^3 b(-1000)^2 + c (-1000) + d

At x = 1000, you have a value for f(x).

B)Outline it:

f(+1000) = a (1000)^3 + b (1000)^2 + c (1000) + d

You know the slope's value, f'(x), and when x = -1000, f'(-1000) equals 3 a (-1000)2 + 2 b (-1000) + c.

At x = + 1000 f'(1000), you have a value for the slope: 3 a (1000)2 + 2 b (1000) + c

C) That is four linear equations with a, b, c, and d as the four unknowns.

When you simultaneously solve all four equations, you will get the function and its derivative, which you may graph.

D) The steepest part is where the derivative's absolute value is at its highest.

You can find that extreme by setting the derivative of the derivative equal to zero.

6 a x + 2 b = 0

solve for x and calculate the slope at that point.

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Answer: for part B = 732 seconds or 12.2 minutes

Step-by-step explanation: 36 seconds times the amount of small photos 12 = 432 plus 60 seconds times the amount of large 5 photos = 300 , 432 plus 300 equals 732 seconds

(36 x 12) + (60 x 5) = 732

Answer:

10.5 days

Step-by-step explanation:

Given :

P(d1) = 0.5 ; P(d2) = 0.3 ; P(d3) = 0.2

For d1: 2days of freedom ; then back to cell

For d2 : 3 days of freedom ; then back to cell

For d3 :, complete freedom.

Let number of days till freedom is attained = x

x = E(x | d1)p(d1) + E(x | d2)p(d2) + E(x | d3)p(d3)

x = (2 + x)(0.5) + (3 + x)(0.3) + (1 * 0.2)

x = 1 + 0.5x + 0.9 + 0.3x + 0.2

x = 2.1 + 0.8x

x - 0.8x = 2.1

0.2x = 2.1

x = 2.1 / 0.2

x = 10.5 days

Hence, expected number of days to attain freedom = 10.5 days

Answer:

5 miles

Step-by-step explanation:

25% of 4 is equal to 1. If you add that 25% (or the number 1) you get 5 as your answer!

:)

When matched, the prompts on asymptotes would be:

The presence of a vertical asymptote at x=0 signifies that the cost of producing pills can never reach a value of 0, remaining persistently positive. Simultaneously, the horizontal asymptote at y=0 serves as a reassuring indication that the cost of producing pills cannot be negative, as it steadfastly remains at or above zero.

This crucial constraint ensures that the cost incurred in the pill production process is always a non-negative quantity. Consequently, the prompt related to the impossibility of negative costs aligns with this notion.

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Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x

Part B: width is 50 meters.

The formula for calculating the area of a rectangle is expressed with the equation;

A = lw

Such that the variables are expressed as;

We then have that;

l = 2x + 10

Substitute the values

5500 = (2x + 10)(x)

expand the bracket

5500 = 2x² + 10x

2x² + 10x - 5500

x² + 5x - 2750

x² + 55x - 50x - 2750

x(x + 55) - 50(x + 55)

x = 50 meters

Length = 2(50) + 10

Length = 100 + 10 = 110 meters

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The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

6

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

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Answer:

need a thanks

Step-by-step explanation:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A = 1 2 b h is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

The total surface area of the triangular prism is 240 m².

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The total surface area of a triangular prism.

= Perimeter x length + base x height

= (6 + 6 + 8) x 10 + 8 x 5

= 20 x 10 + 40

= 200 + 40

= 240 m²

Thus,

The total surface area is 240 m².

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Answer:

\((0,2)\)

Step-by-step explanation:

Determine x-coordinate of vertex

\(x=-\frac{b}{2a}\\ \\x=-\frac{0}{\frac{1}{2}}\\\\x=0\)

Determine y-coordinate of vertex

\(y=\frac{1}{2}(0)^2+2\)

\(y=2\)

Therefore, the vertex is at \((0,2)\)

Answer:

The domain of given function is: [-7,7]

Step-by-step explanation:

Graphs can be used to determine the domain and range of a function.

On a graph, the values across the x-axis are domain and across y-axis are the range.

In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.

Hence,

The domain of given function is: [-7,7]

Step-by-step explanation:

log <base a> b = x

means

a^x = b

So

3^2 = x^2+7x+21

x^2 + 7x + 21 - 9 = 0

x^2 + 7x + 12 = 0

(x+3)(x+4)

x = -3 or -4

The required solution given equation is x = -3 or -4.

The logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Given:

The given equation is

\(Log 3 (x^{2} + 7x + 21) = 2\)

According to given question we have

By the formula of logarithm we get

\(log_{a} b = x\\\a^x = b\\So\\3^2 = x^2+7x+21\\x^2 + 7x + 21 - 9 = 0\\x^2 + 7x + 12 = 0\\(x+3)(x+4)\\x = -3 or -4\)

Therefore, the required solution given equation is x = -3 or -4.

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Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

The given line equation is y=-1/2x+2

We have given the graph of the line

We have to determine the equation of the line,

We have to points(0,2) and (4,0)

\(m=\frac{y_2-y_1}{x_2-x_1}\)

m=0-2/4-0

m=-2/4

m=-1/2

\((y-y_1)=m(x-x_1)\)

\(y-0=-1/2(x-4)\\y=-1/2x+2\)

Therefore the second option is correct

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Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

Answer:

Step-by-step explanation:

Andrew has been hired to paint the numbers 1 through 100 on apartment building doors. How many times will he paint the number 8?​

20 times. (8, 18, 28, 38, 48, 58, 68, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 98).

he has less marbles

Step-by-step explanation:

Answer:

79.83

I rounded to the nearest hundredth

Answer:

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...

  (x -14)² +(y -7)² = 1²

4x - 2y = 6

2y = 4x - 6

y = (4x - 6)/2

y = 2x - 3

Answer:

C (Hypotenuse) = 9.9

Step-by-step explanation:

Given the two sides of a triangle, where a = 7, and b = 7:

We can use the Pythagorean Theorem where it states: c² = a² + b².

Substitute the given values into the Pythagorean Theorem to find the length of the hypotenuse.

c² = a² + b²

c² = 7² + 7²

c² = 49 + 49

c² = 98

\(\LARGE\mathsf{\sqrt{c^2}\:=\:\sqrt{98}}\)

c = 9.89 or 9.9

Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.

Answer:

4000000

Step-by-step explanation:

thats to the nearest million

Using conversion, the 3887860 tones of paper is converted into 400000 millions.

Conversion is "the process of changing the value one of form to another".

According to the question,

3887860 tones of paper was collected last year. In order to convert to the nearest million.

1 ton = 9,071847 million

3887860 tones = 9,071847 × 3887860

                          = 3.52700711 \(e^(13)\)  ≈ 400000

Hence, using conversion, the 3887860 tones of paper is converted into 400000 millions.

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Answer:

y = 9x-10

Step-by-step explanation:

Slope-Intercept form is y = mx + b where m is the slope and b is the y intercept.

plug in what we are given

8 = 9(2) + b

solve for the y intercept (b)

8=18+b

8-18 = b

-10 = b

plug the slope (m) and y intercept (b) into our formula

y = 9x - 10

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

A. 11.2

Step-by-step explanation:

But this has nothing to do with 5.6 × 2. Erase that! Lol.

You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.

The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.

The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.

The hypotenuse is 14.

Let's do some Pythagorean Theorem.

Leg^2+ leg^2=hypotenuse^2

you know,

a^2 + b^2 = c^2

fill in what we know.

8.4^2 + b^2 = 14^2

simplify.

70.56 + b^2 = 196

subtract 70.56

b^2 = 125.44

squareroot both sides

b = 11.2

Answer:

3rd option.

Step-by-step explanation:

figure u dont need one