Determine whether a triangle with the given side lengths is a right triangle.

Answer:

6 meters

Step-by-step explanation:

[tex]A=a^2+2a\sqrt{\frac{a^2}{4}+h^2} [/tex]is the formula that you use

h=vertical altitude and

a=side length of the base

[tex]85=5^2+(2*5)\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]85-25=10\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]\frac{60}{10}=\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]6=\sqrt{\frac{25}{4}+h^2}[/tex]

[tex]36=\frac{25}{4}+h^2[/tex]

[tex]36-\frac{25}{4}=h^2[/tex]

[tex]36-6.25=h^2[/tex]

[tex]29.75=h^2[/tex]

Vertical altitude (h) and [tex]\frac{1}{2}a[/tex] and the slant height form a right triangle with the slant height being the hypotenuse

[tex]h^2+(2.5)^2=s^2 [/tex]where s=slant height

[tex]29.75+6.25=s^2[/tex]

[tex]36=s^2[/tex]

s=6 meters

Answer:

slant height = 6 meters

Step-by-step explanation:

surface area of pyramid: 2bs + b²

2*5*s + 5² = 85

10s = 85 - 25

10s = 60

s = 6

The slant height is 6 meters.

[tex]3^{-4}=\dfrac{1}{3^4} =\dfrac{1}{81}[/tex]

Answer:

5r+4

Step-by-step explanation:

Let's simplify step-by-step.

6r−r+4

=6r+−r+4

Combine Like Terms:

=6r+−r+4

=(6r+−r)+(4)

=5r+4

Answer:

10 A. Quadrent 2

10 B. Quadrent 3

Step-by-step explanation:

Image

Answer:

28 miles

Step-by-step explanation:

308/11 = 28 miles per gallon of gas

The 12th term of the given geometric sequence is equal to -8,388,608.

Given the following sequence:

A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.

Mathematically, a geometric sequence is given by the expression:

[tex]a_n =a_1r^{n-1}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304[/tex]

12th term = -8,388,608.

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Answer:

having a sticky surface

Step-by-step explanation:

Just took the tests

The number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.

The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5x 10¹².

Given to us

Average 113,204 aluminum cans are recycled in a minute.

Firstly, in order to find the number of cans that can be recycled in 16 days, we need to find the number of minutes in 16 days. we know that 1 day has 24 hours where each hour has 60 minutes. therefore,

Number of minutes in 16 days = 16 x 24 x 60

Number of minutes in 16 days = 23,040 minutes

As it is given that on an average 113,204 number of cans can be recycled in a minute, therefore,

Total number of can that can be recycled = 113,204 x 23,040

                                                                      = 2,608,220,160

                                                                       = 2.6 x 10⁹

Hence, the number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.

Learn more about Scientific notation:

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Answer:

Step-by-step explanation:

14 - 5 = 9

9 - 5 = 4

4 - 5 = - 1

................

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 5

a. The speed of the wind is 30 mph

b. The speed of the plane in still air is 450 mph

Let

Since the plane can travel 480 miles per hour with the wind, we have that

V + v = 480 (1)

Also, the plane travels 420 miles per hour against the​ wind, we have that

V - v = 420 (2)

The speed of the wind is 30 mph

subtracting equations (1) and (2), we have

V + v = 480 (1)

-

V - v = 420 (2)

2v = 60

v = 60/2

v = 30 mph

So, the speed of the wind is 30 mph

The speed of the plane in still air is 450 mph

Substituting v into equation (1), we have

V + v = 480 (1)

V + 30 = 480

V = 480 - 30

V = 450 mph

So, the speed of the plane in still air is 450 mph

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Answer:

sinθ=√7/4

Step-by-step explanation:

Here,

cosθ=3/4

b/h=3/4

b=3 and h=4

Using Pythagoras theorem,

h²=p²+b²

4²=p²+3²

16-9=p²

p=√7

Now,

sinθ=√7/4

Answer:

D

Step-by-step explanation:

the odds are less than .24 so it must be 0.12

Answer:

2x² - 3x

Step-by-step explanation:

multiply the outside with the inside brackets

x × 2x = 2x²

x × (-3) = -3x

Answer:

x(2x-3)

Step-by-step explanation:

x(2x-3)

x times 2x equals 2x².

x times -3 is -3x.

2x²-3x.

Answer:

x = 18

Step-by-step explanation:

So there is two ways, but I'm going with the way I remember

1/6 x = 3

1x/6 = 3 multiply by 1

x/6 = 3 then multiply by 6

x = 18

Answer:

43

Step-by-step explanation:

Total number of different colors = 7

Probability of spinner landing on blue = 1/7

Probability of spinner landing on green = 1/7

Probability of spinner landing on blue OR green = 1/7 + 1/7 = 2/7

if the spinner is spun 150 times,

Number of times spinner will land on green or blue = Probability of spinner landing on blue OR green x 150

= 2/7 x 150

= 42.85714...

= 43 (rounded to the nearest whole number)

Answer:

Step-by-step explanation:

Number of sections is 7

Probability of each section is 1/7

Probability of blue or green:

Spinner nun 150 times, number of stops on blue or green:

Answer:

x= - 8/3

Step-by-step explanation:

1- Multiply the monomials

2- Combine like terms

3- Rearrange variables to the left side of the equation

4- Divide both sides of the equation by the coefficient of the variable

5- Cross out the common factor

Answer:

10.2

Step-by-step explanation:

I stuck it into a calculator the exact number is ~10.295630141

Answer:

width = 50 cm

Step-by-step explanation:

The volume (V) of a rectangular box is calculated as

V = lwh ( l is length, w is width and h is height )

Since V is given in cm³ then dimensions must be in cm

l = 1 m = 100 cm , then

100 × w × 75 = 375000

7500w = 375000 ( divide both sides by 7500 )

w = 50

the width of the box is 50 cm

Answer:

1. 1/5  1/3  4/6

2. 3/5  3/4  7/8

3. 87 nickels

4. 150 minutes

5. 2

6.  3/4

Step-by-step explanation:

1.  least to greatest:  1/5  1/3  4/6

2.  least to greatest:  3/5  3/4  7/8

3. 1 nickel = 5 cents

So 485 ÷ 5 = 87 nickels

4. Total number of minutes = 50 x 2 = 150 minutes

5. A composite number is a whole number that can be made by multiplying other whole numbers.

3 x 3 = 9  ⇒  composite number

3 x 5 = 15  ⇒  composite number

3 x 7 = 21  ⇒  composite number

Therefore 2 is NOT a composite number (it is a prime number)

6. 6/8 = 3/4

Answer:

[tex]a \times b \\ (4y + 12)6x \\ 24xy + 72x \\ = 24x(y + 3)[/tex]

Answer:

4 X 3= 12

6 X 3= 18

Please mark as Brainliest

Answer:

12

Step-by-step explanation:

View the question mark as x then cross multiply

18×4= 6×x

72= 6x

x is 12

graph of the linear function y = 5 is attached below. which is true for all the values of x.

a function whose equation is of the form y = ax + b, where a and b are constants, a does not equal zero, and x is any real number, and whose graph is a straight line.

Given a linear function y = 5 here

The graph of that linear function will be a straight line that is attached below.

this function will be the same for all the values of x. since it is not dependent on the variable x

it will pass through points (0, 5),  (1, 5),  (-6, 5),  (5, 5),  (-9, 5),.... and so on.

therefore, Below is a graph of the linear function at y = 5. This holds true regardless of x's value.

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The number of withholding allowances which Mario currently claim for her gross biweekly earnings of $784. 21 is 4.

Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there .

Mario has gross biweekly earnings of $784.21. By claiming 1 more withholding allowance, Mario would have $13 more in his take home pay.

The value $784.21 lies between $780 and $800. Here, in the problem, the Mario can claim $13 more in his take home pay.

Form, the table of Federal income tax, the calculated amount will be,

[tex]n=20-7\\n=13[/tex]

Now, again from the table, Mario still claim 4 withholding allowances currently.

The number of withholding allowances which Mario currently claim for her gross biweekly earnings of $784. 21 is 4.

Learn more about the federal income tax here;

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Answer:

184cm^2

Step-by-step explanation:

(5+5+6) * 10 = 160

6*4 = 24

160+24=184

there are 2 triangles so I am assuming they have the same dimensions

Step-by-step explanation:

[tex] \frac{1}{2} (11ft + 17ft) \times 12ft \\ \frac{1}{2} \times 28ft \times 12ft \\ divide \: 28 \: by \: 2 \\ 14ft \times 12ft = 168 {ft }^{2} \\ answer = 168 {ft}^{2} [/tex]