Write 2^4 by using repeated multiplication. Then find the value of 2^4

A rectangular book measures 4 x 7, the length of its diagonal is √65.

Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In mathematical terms, if a and b represent the lengths of the two shorter sides (also known as legs) of a right triangle, and c represents the length of the hypotenuse, then the Pythagorean theorem can be expressed as:

a² + b² = c²

Given:

Base = 4

Length = 7.

To determine the length of diagonal by using  Pythagorean  theorem.

Diagonal² = Base² + Length²

Plugging the values in Pythagorean  theorem.

Diagonal² = 4² + 7²

Diagonal = √(16 + 49) =√65.

Therefore, the length of diagonal of book is √65.

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Answer:

Total cost= $760

Step-by-step explanation:

Giving the following information:

Number of students= 347

Each bus holds 44 students.

Bus cost= $95

First, we need to determine the number of buses needed:

Number of buses= total students / student per bus

Number of buses= 347 / 44

Number of buses= 7.88 = 8 buses

Now, the total cost:

Total cost= 8*95

Total cost= $760

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attachment lists points on each graph.

a) The equation for a horizontal line is ...

  y = constant

Here, the output value is always 5, so that is the constant in the equation:

  y = 5

__

b) The graph is a straight line through the origin, so the equation is that of a proportion:

  y = kx . . . . . for some constant of proportionality k

Using the point (x, y) = (-4, 2), we can find k from ...

  k = y/x = 2/(-4) = -1/2

The equation of the line is ...

  y = -1/2x

__

c) The graph has a rise of 3 units for each run of 1 unit, so the slope is ...

  m = rise/run = 3/1 = 3

The y-intercept (where the line crosses the y-axis) is b = -2. Then the slope-intercept form of the equation is ...

  y = mx + b . . . . . for slope m and y-intercept b

  y = 3x - 2

_____

You can check that the equation is satisfied by each of the points listed. For example, ...

  a) in = -4, out = y = 5 . . . matches table

  b) in = 2, out = y = -1/2(2) = -1 . . . matches table

  c) in = 1, out = y = 3(1) -2 = 1 . . . matches table

(You can check the other table values.)

Answer:

B

Step-by-step explanation:

Just test two coordinates. Just do y2-y1/x2-x1. 60-80/20-10 = -20/10 = -2

Answer:

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

1. It is not possible for a triangle to have more than one vertex with internal angle greater than or equal to 90°, or it would no longer be a triangle. 2. The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°. 3. The sum of the lengths of any two sides of a...

Answer:

The answer is 5.

Step-by-step explanation:

The distance formula is ↷

[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]

All we got to to do right now is plug in!

[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]

Therefore, the distance between 3,4 and 3,9 is 5.

Answer:

m=1$

h = 1$

Step-by-step explanation:

i think... seems the only reasonable answer

The cost of one hat is $1 and cost of one mask is $1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have 10 hats and 20 masks were sold for $30.

and, 8 hats and 10 masks were sold for $18.

let the cost of one hat be H and cost one Mask be M.

So, the system of Equation we get

10H + 20M = 30..........(1)

8H + 10M = 18...........(2)

Solving the above equation we get

10H - 16H = 30 - 36

-6H = -6

H = 1

and, 10 + 20M= 30

20M= 20

M= 1

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Answer:

16

Step-by-step explanation:

8n ; n=2

substitute 2 for n

8*2 = 16

Answer:

16

Step-by-step explanation:

plug in 2 for the letter n. 8(2)=16

parantheses mean multiplication.

Answer: UMMMM I don't see a screenshot

Step-by-step explanation:

9514 1404 393

Answer:

  18 square units

Step-by-step explanation:

Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...

  AB = 6√2

  CD =3√2

The area is half the product of the base (AB) and height (CD) so is ...

  A = 1/2bh = (1/2)(6√2)(3√2) = 18

The area of ΔABC is 18 square units.

_____

Additional comment

It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...

  c² = a² +b²

  c = 1² +1² = 2

  c = √2

Answer:

B: 18 square units

Step-by-step explanation:

I'm taking the exam

Answer:

23

Step-by-step explanation:

19=x-4

x=23

Answer:

See explanation

Step-by-step explanation:

The question has missing details, as the diagram of the prism is not shown.

However, I'll solve using a general rule.

The volume of a triangular prism is:

[tex]Volume = \frac{1}{2}* b * h * l[/tex]

Where

[tex]b = base[/tex]

[tex]h = height[/tex]

[tex]l = length[/tex]

Take for instance:

[tex]b = 20cm[/tex]

[tex]h = 10cm[/tex]

[tex]l = 5cm[/tex]

The volume is:

[tex]Volume = \frac{1}{2} * 20cm * 10cm * 5cm[/tex]

[tex]Volume = 10cm * 10cm * 5cm[/tex]

[tex]Volume = 500cm^3[/tex]

Another instance (see attachment).

From the attachment:

[tex]b = 4.5cm[/tex]

[tex]h = 5cm[/tex]

[tex]l = 8cm[/tex]

The volume is:

[tex]Volume = \frac{1}{2} * 4.5cm * 5cm * 8cm[/tex]

[tex]Volume = 2.25cm * 5cm * 8cm[/tex]

[tex]Volume = 90cm^3[/tex]

Answer:

the answer is 45 minutes, hope this helped :-)

Step-by-step explanation:

18:3=6

270:6=45

Answer:they spent 15 minutes in the shower

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

We can rewrite the expression as

(6^4) ^ (1/4)

We know that a^ b^c = a^ ( b*c)

6^4 ^ (1/4)

6 ^ ( 4*1/4)

6

Answer:

6

Step-by-step explanation:

[tex] \sqrt[4]{ {6}^{4} } [/tex]

The 4 root and the 4 exponent cancel out as these two are inverse variables, then we are left with our answer

[tex]6[/tex]

Answer:

y=x^2

Step-by-step explanation:

Answer:

A. 4/ 3

Step-by-step explanation:

With reference angle X

perpendicular (p) = 24

base (b) = 18

Now

tan X = p / b = 24 / 18 = 4 / 3

Answer:

482

Step-by-step explanation:

3x-5=178+12=82-22x=482

216cm^2

Volume of cube= 216 ft^3

l^3= 216

l= Cube root of 216

l= 6

SA=6*l^2

=6*6*6

=216 cm^2

Answer:

Z

Step-by-step explanation:

Answer:

dont cheat

Step-by-step explanation:

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

For our case, the solutions will be:

[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

Answer:

{x}={2}

{x}=\frac{{{10}-\sqrt{{-{4}}}}}{{2}}={5}-{i}={5.0000}-{1.0000}{i}

{x}=\frac{{{10}+\sqrt{{-{4}}}}}{{2}}={5}+{i}={5.0000}+{1.0000}{i}

Answer:

The answer is 32/75

Step-by-step explanation:

Hope this helps,

have a great day,

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Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]

[tex]6=\frac{m}{8}\\x=48[/tex]

Answer:

[tex]\mathtt{\huge\star{\pink{\underline{ option\: D }}}}\huge\star[/tex]

Answer:

13

Step-by-step explanation:

I'm just here for da points can I still get brainliitest?