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The given triangle is not a right-angle triangle as the sides don't form a Pythagorean triplet.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the le right triangle is equal to the square on the hypotenuse (the Pythagoras the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given her:  Three squares whose sides form one Pythagoreans of a triangle .

Now a²=58

b²=10

b=√10

c²=64

c=8

Clearly √10<√58<8

Thus c must be the hypotenuse of the triangle.

Using Pythagoras' theorem we get

√10²+√58²=68≠64

Hence, The given triangle is not a right angle triangle as the sides don't form a Pythagorean triplet.

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Answer:

y-inter:(0,-44)

x inter:(-10,0)

Answer:

A: SA = 46 cm^2; V = 11 cm^3

B: SA = 46 cm^2; V = 14 cm^3

C: SA = 46 cm^2; V = 15 cm^3

Step-by-step explanation:

SA = 2B + PH = 2LW + PH

where SA = total surface area,

B = area of a base

P = perimeter of the base

H = height of the prism

L = length of the base

W = width of the base

V = LWH

Prism A:

SA = 2(11 cm)(1 cm) + 2(11 cm + 1 cm)(1 cm)

SA = 46 cm^2

V = (11 cm)(1 cm)(1 cm) = 11 cm^3

Prism B:

SA = 2(7 cm)(2 cm) + 2(7 cm + 2 cm)(1 cm)

SA = 46 cm^2

V = (7 cm)(2 cm)(1 cm) = 14 cm^3

Prism C:

SA = 2(5 cm)(3 cm) + 2(5 cm + 3 cm)(1 cm)

SA = 46 cm^2

V = (5 cm)(3 cm)(1 cm) = 15 cm^3

Answer:

In the 23rd  year his income was of $33,900.

Step-by-step explanation:

Joe's income has been increasing each year by the same dollar amount.

This means that his salary after t years is given by:

[tex]S(t) = S(0) + at[/tex]

In which S(0) is the initial salary and a is the yearly increase.

The first year his income was $22,000

This means that [tex]S(0) = 22000[/tex]. So

[tex]S(t) = S(0) + at[/tex]

[tex]S(t) = 22000 + at[/tex]

In the fourth year his income was $24,100

S(4) = 24100, and thus, we use this to find a.

[tex]S(t) = 22000 + at[/tex]

[tex]24100 = 22000 + 4a[/tex]

[tex]4a = 2100[/tex]

[tex]a = \frac{2100}{4}[/tex]

[tex]a = 525[/tex]

So

[tex]S(t) = 22000 + 525t[/tex]

In which year was his income 33,900

This is t for which S(t) = 33900. So

[tex]S(t) = 22000 + 525t[/tex]

[tex]33900 = 22000 + 525t[/tex]

[tex]525t = 11900[/tex]

[tex]t = \frac{11900}{525}[/tex]

[tex]t = 22.67[/tex]

Rounding up, in the 23rd year his income was of $33,900.

Answer:

2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5

5 5

Step-by-step explanation: The Slashes mean The number bellow

Please make this answer Brainlist...

Answer:

The perimeter of the triangle is 28.82

Step-by-step explanation:

Please check the image uploaded for the diagram.

Perimeter = d₁ + d₂ + d₃

[tex]d_1 = \sqrt{(-10-0)^2 + (-4-3)^2} = \sqrt{100+49} =\sqrt{149} = 12.21\\\\d_2 = \sqrt{(-9-0)^2 + (-7-3)^2} = \sqrt{81+100} =\sqrt{181} = 13.45\\\\d_3 = \sqrt{(-10+9)^2 + (-4+7)^2} = \sqrt{1+9} =\sqrt{10} = 3.16\\\\Perimeter = 12.21 + 13.45 + 3.16 = 28.82[/tex]

Answer:

what is your question friend? :)

Answer:

[tex]{ \tt{area = (7 \times 10) + (12 \times 4) + (5 \times 5)}} \\ { \tt{ = 70 + 48 + 25}} \\ { \tt{ = 143 \: {in}^{2} }}[/tex]

Answer: break into 2 rect and 1 sqr the sum areas of each

Step-by-step explanation: square = 5x5

Rectangle 1 = 10x7

Rectangle 2 = 12x4

Sum each shape area = total area

Answer:

1.6 metres is 160 centimetres

Ethan is 6 centimetres taller than Uzma

9514 1404 393

Answer:

  Translation up 3

Step-by-step explanation:

Adding 3 to the function value translates its graph up 3 units.

9514 1404 393

Answer:

Step-by-step explanation:

The formula for simple interest is ...

  I = Prt

where P is the principal amount loaned, r is the annual rate, and t is the time in years. Solving for interest rate, we get ...

  r = I/(Pt)

We assume 12 months or 52 weeks in a year.

__

Car title loan

  r = 125/(500×1/12) = 3 × 100% = 300%

The APR is 300%.

__

Payday loan

  r = 125/(500×2/52) = 6.5 × 100% = 650%

The APR is 650%.

__

Check cashing

  r = 19.66/(478.41×1/52) ≈ 2.1369 × 100% ≈ 214%

The APR is about 214%.

We're given the one-sided limit,

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}[/tex]

Evaluating the limand directly at x = 1 gives the indeterminate from

(sin(1 - 1) - exp(1 - 1) + 1) / ln(1) = 0/0

so we can potentially solve the limit by applying L'Hopital's rule. Doing so gives

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}=\lim_{x\to1^+}\frac{-\cos(1-x)-e^{x-1}}{\frac1x}=\frac{-\cos(0)-e^0}{\frac11}=\boxed{-2}[/tex]

Answer:

? = 1

Step-by-step explanation:

4/8 = ?/2

Change the ? into a variable so it's easier to calculate:

Variable x = ?

4/8 = x/2

Cross multiply:

4 × 2 = 8 × x

8 = 8x

Divide both sides by 8 to isolate the variable:

1 = x

Check your work:

4/8 = 1/2

4 × 2 = 8 × 1

8 = 8

Correct!

Answer and Step-by-step explanation:

First, multiply the parentheses, then add everything together.

-- (5x + 24)(9x +  12)

-- 45[tex]x^2\\[/tex] + 60x + 216x + 288 (Simplify)

-- 45[tex]x^2\\[/tex] + 276x + 288

--- (3x + 9)(8x + 6)

--- 24[tex]x^2\\[/tex] + 18x + 72x + 54 (Simplify)

--- 24[tex]x^2\\[/tex] + 90x + 54

---- (2x + 7)(24[tex]x^2\\[/tex] + 90x + 54)

---- 48[tex]x^{3}[/tex] + 180[tex]x^2\\[/tex] + 108x + 168[tex]x^2\\[/tex] + 630x + 378 (Simplify)

---- 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 45[tex]x^2\\[/tex] + 276x + 288 + 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666

48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666 is the final answer.

#teamtrees #PAW (Plant And Water)

Answer:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

Step-by-step explanation:

we would like to simplify the following:

[tex] \rm \displaystyle (5x + 24)(9x + 12) + (3x + 9)(8x + 6)(2x + 7)[/tex]

there're two parts the multiplication the whole part to solve the multiplication part we can consider FOIL and for the whole, PEMDAS which can be represented as

[tex] \rm\displaystyle \rm \displaystyle \underbrace{\underbrace{(5x + 24)(9x + 12) } _{ \text{FOIL - 1}}+ \underbrace{ (3x + 9)(8x + 6)(2x + 7)} _{ \text{FOIL - 2}}} _{ \text{PEMDAS}}[/tex]

let's figure out FOIL-1 part

By FOIL we obtain:

[tex] \displaystyle {45x}^{2} + 60x + 216x + 288[/tex]

simplify addition:

[tex] \displaystyle {45x}^{2} + 276x+ 288[/tex]

let's figure out FOIL-2:

By FOIL and PEMDAS we acquire:

[tex] \rm \displaystyle {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

finally the whole part

[tex] \rm \displaystyle {45x}^{2} + 60x + 216x + 288+ {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

combine like terms:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

and we are done!

Answer and explanation:

Question isn't complete but explanation is given below based on what you may be asking.

Answer and Explanation:

First, An object is a data type but is quite different from the usual or primitive data types such as string or integers. An object is based on object oriented programming(OOP) and is a sort of abstract data type which is usually defined by the programmer(some are inbuilt in the language). Objects are usually defined using classes and then become instances of those classes. Objects have identities(e.g- a dog has a name Zeus) and be compared to other objects of same class(other instances) while data types are not as well equipped to have identities, properties or methods that are user defined in order to make comparisons.

Answer:

z = x-u/s

z = 2600 - 2020/456

z = 1.27

 = .897

1-.898 = .102

z > 1.27 = 10.2%

The percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.

The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.

Given that according to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456.

The percentage will be calculated as,

z = x-u/s

z = 2600 - (2020/456)

z = 1.27

The value of z=1.27 in the table is 0.897. The percentage will be calculated as,

P = 1-.898 = .102

z > 1.27 = 10.2%

Therefore, the percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.

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Answer: a. $21

b. $14

Step-by-step explanation:

Selling price of desk organizer = $35

Markup rate = 60%

a. The markup will be:

= Markup rate × Selling price

= 60% × $35

= 0.6 × $35

= $21

Therefore, the markup is $21

b. The cost will then be:

Cost price = Selling price - Markup

= $35 - $21

= $14

Answer:

x<7

Step-by-step explanation:

See image below:)

Answer:

Sin(E) = 7/25

Sin(D) = 24/25

Tan(D)= 24/7

Step-by-step explanation:

Sin=opp/hyp

Tan=opp/adj

Cos=adj/hyp

The trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7

The given parameters are:

EF = 24

DF = 7

Start by calculating the length DE using:

DE²= EF² + DF²

So, we have:

DE²= 24² + 7²

Take the square root of both sides

DE= 25

The sine of the angles is calculated using:

sin(Ф) = opp/hyp

So, we have:

sin(E) = 7/25

sin(D) = 24/25

The tangent of the angles is calculated using:

tan(Ф) = opp/adj

So, we have:

tan(D)= 24/7

Hence, the trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7

Read more about trigonometric ratios at:

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Answer:

A

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this  question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

Answer:

Step-by-step explanation:

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Answer:

14,000 feet.

Step-by-step explanation:

A parallelogram has 4 total sides and the opposite sides are characterized as having the same length. Therefore, If we are provided the lengths of two adjacent sides we can easily calculate the perimeter by multiplying these provided lengths by 2 and then adding them together. Since we are asked to round each number to the nearest hundred, it would be the following...

(5,500 * 2) + (1,500 * 2) = x

11,000 + 3000 = x

14,000 = x

Finally, we can estimate that the perimeter of the parallelogram is 14,000 feet.

Answer:

3 1/3 each

Step-by-step explanation:

10/3=3 1/3

Answer:

x ≤ 6.25

Step-by-step explanation:

8x + 10  ≤  60

Subtract 10 from both sides

8x ≤ 50

Divide both side by 8

x ≤ 6.25

If my answer is incorrect, pls correct me!

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Answer: The probability when neither of the accidents is severe and at most one is moderate is 0.65

Step-by-step explanation:

Given values:

Probability when the accident is minor = 0.5

Probability when the accident is moderate = 0.4

Probability when the accident is severe = 0.1

As two accidents are occurring independently and we need to calculate the probability of an event that neither accident is severe and at most one is moderate.

So, the equation for the probability becomes:

[tex]=\text{P[moderate, minor]}+\text{P[minor, moderate]}+\text{P[minor, minor]}\\\\= (\text{P[moderate]}\times \text{P[minor]}) + (\text{P[minor]}\times \text{P[moderate]}) + (\text{P[minor]}\times \text{P[minor]})[/tex]

Putting values in above equation, we get:

[tex]=[(0.40)\times (0.5)] + [(0.5)\times (0.4)] +[((0.5)\times (0.5)]\\\\= 0.65[/tex]

Hence, the probability when neither of the accidents is severe and at most one is moderate is 0.65

Answer:

If the student is selected at random the answer is if you put 14 years apart of the student selected at random means the answer are not apart.

Step-by-step explanation:

14 years selected the problem is that 14-9 is more then 9 and u add that up to get the right equation for the 14 years apart