Find the height of an equilateral triangle of side 6 cm​

Answer:

[tex]cos\theta=\frac{3}{5}[/tex]

Step-by-step explanation:

Since [tex]sin\theta=0.8[/tex] is the same as [tex]sin\theta=\frac{4}{5}[/tex] and [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex], then we know that the side opposite to the angle [tex]\theta[/tex] is 4 units and the hypotenuse is 5 units.

Because [tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex], then we have to find the adjacent side to the angle [tex]\theta[/tex] using the Pythagorean Theorem:

[tex]a^2+b^2=c^2\\\\(adjacent)^2+(opposite)^2=(hypotenuse)^2\\\\(adjacent)^2+4^2=5^2\\\\(adjacent)^2+16=25\\\\(adjacent)^2=9\\\\adjacent=3[/tex]

Therefore, since the adjacent side is 3 units, then [tex]cos\theta=\frac{3}{5}[/tex]

Answer:

6 bags.

Step-by-step explanation:

Subtract 38 from 75 to represent the remaining amount of Matthew's money.

[tex]75-38=37.[/tex]

Matthew has $37 left over from buying flowers.

Divide 37 by 6 to represent how many bags of soil he can buy.

[tex]37\div6=6\frac{1}{6}[/tex]

Matthew can only buy 6 bags of soil, 1/6 isn't included because you can't buy a fraction of a bag.

Answer:

a) 2x + 3; b) 0

Step-by-step explanation:

Area = [tex]4\pi x^2+12\pi x+9\pi =\pi (4x^2+12x+9)=\pi (2x+3)^2[/tex]

Area = [tex]\pi r^2[/tex]

a) radius r = 2x + 3

b) 2x + 3 > 0

x > -3/2

The least possible integer value of x is 0

Answer:

B

Step-by-step explanation:

From inspection of the box plot:

The median is the middle number in a sorted (ascending or descending) list of numbers.  All the numbers in each data set. are sorted in ascending order.  Data sets C and D have medians of 30, so we can discount them.

The maximum value on the box plot is 34.  Therefore, we can discount option A, since its max value is 35.  

Therefore, the answer is option B.

Futher checking with quartiles:

The lower quartile is the value at the first quarter.  As there are 9 values per data set, the lower quartile will be the mean of the 2nd and 3rd values.

The upper quartile is the value which is three quarters of the way into the data set.  As there are 9 values per data set, the upper lower quartile will be the mean of the 7th and 8th values.

Option B

lower quartile = (25 + 29)/2 = 27

upper quartile = (32 + 34)/2 = 33

This confirms that Option B is the final solution.

Answer:

The x -intercept is (3, 0)

The y -intercept is (0, - 2)

Step-by-step explanation:

Given equation is: -6x + 9y = -18

To find x - intercept:

Plug y = 0 in the given equation.

-6x + 9(0) = - 18

-6x + 0 = -18

-6x = - 18

x = (-18)/(-6)

x = 3

The x -intercept is (3, 0)

To find y - intercept:

Plug x = 0 in the given equation.

-6(0) + 9y= - 18

0 + 9y = -18

9y = - 18

y = (-18)/(9)

y = - 2

The y -intercept is (0, - 2)

Answer:

125

Step-by-step explanation:

[tex] \huge \: {8}^{ log_{2}(5) } \\ \\ \huge \: = { {2}^{3} }^{ log_{2}(5) } \\ \\ \huge \: = { {2}}^{ log_{2}(5)^{3} } \\ \\\huge \: ={ {2}}^{ log_{2}(125 )} \\ \\ \huge \: = 125 \: \: ( \because \: {a}^{ log_{a}(x)} =x)[/tex]

Answer:

[tex]f^-1 (x) = \sqrt[3]{x - 8}[/tex]

Step-by-step explanation:

Custom file created rather than math ML for neatness.

Answer:

Yes, it is a right triangle. The distance is 6,2.

Step-by-step explanation:

The square of 15 is 225, and the square of 12 is 144. The square of 9 is 81. 144 + 81 = 225, so it's a right triangle.

Answer:

yup it is ...

x²-2x = -6+2x

=> x²-4x +6

By expanding the equation, we can see that it is quadratic.

A quadratic equation is any polynomial of degree 2.

Here we have:

x^2 - 2x = (-2)*(3 - x)

Expanding this we get:

x^2 - 2x = -6 + 2x

Moving all to the same side:

x^2 - 2x - 2x + 6 = 0

x^2 - 4x + 6 = 0

This is a polynomial of degree 2, so this is a quadratic equation.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

Answer:

Example 1) sin(42) ×25=16.73

Example 2) 12÷tan(75)=3.22

Example 3) 19÷cos(36)=23.49

Example 4) tan(53)×7=9.29

Answer:

ABCD is the quadrilateral

Answer:

[tex]6 \frac{5}{12} \: {ft}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: rectangle = length \times width \\ \\ = 1 \frac{1}{6} \times 5 \frac{1}{2} \\ \\ = \frac{7}{6} \times \frac{11}{2} \\ \\ = \frac{77}{12} \\ \\ = 6 \frac{5}{12} \: {ft}^{2} [/tex]

Answer:

[tex]4x^{9} y^{8} \sqrt{5y}[/tex]

Step-by-step explanation:

Answer:

expression am I write please say yes omg am wrong

Answer:

Step-by-step explanation:

10 cubes ÷2 stacks = 5, so in each stack 5.

one stack has 5

Second stack has 4 more cubes than the other. (5+4=9)

So the answer is 5 and 9

The number of cubes is 3 and 7 in two stacks consisting of 10 stacks total.

Suppose Ebony has 'x' cubes in one stack

So, the number of cubes in another stack =x+4

A cube is a solid having all three dimensions i.e. length, breadth, and height equal to each other.

According to the question,

Total number of cubes = 10

x+(x+4) = 10

2x+4 =10

2x=6

x=3

So, Ebony has 3 cubes in one stack

Number of cubes in another stack =3+4 =7cubes

Therefore, The number of cubes is 3 and 7 in two stacks consisting of 10 stacks total.

To get more about cubes visit:

https://brainly.com/question/1972490

Answer:

See Below

Step-by-step explanation:

For each of these, you just replace x with what's in the parenthesis.

f(-2) = 4(-2)^2 - 2(-2) + 1

f(-2) = 16 + 4 + 1

f(-2) = 21

g(5) = [tex]\sqrt{4(5) - 16}[/tex]

g(5) = [tex]\sqrt{20-16}[/tex]

g(5) = [tex]\sqrt{4}[/tex]

g(5) = 2

f(3r) = 4(3r)^2 - 2(3r) + 1

f(3r) = 4(9r^2) - 6r + 1

f(3r) = 36r^2 - 6r + 1

f(a+b) = 4(a+b)^2 - 2(a+b) +1

f(a+b) = 4 (a^2 + 2ab + b^2) - 2a - 2b + 1

f(a+b) = 4a^2 + 8ab + 4b^2 - 2a - 2b + 1

=======================================================

Explanation:

In a standard deck, there are 52 cards.

If this deck is missing the queen of hearts and 2 of clubs, then we really have 52-2 = 50 cards in the deck.

There are 4 aces and 13 spades. Those values add to 4+13 = 17, but we need to subtract off 1 to account for the ace of spades counted twice. We have 17-1 = 16 cards that are either an ace, a spade, or both.

Or you can think of it like saying 13 spades + 1 ace of hearts + 1 ace of diamonds + 1 ace of clubs = 16 cards total.

-----------------

The event space has A = 16 cards in it, while the sample space has B = 50 cards.

The probability we're after is A/B = 16/50 = 8/25

Answer:

[tex]x = \frac{1}{3} [/tex]

or x = 0.33

Step-by-step explanation:

[tex] {5}^{3x} - {5}^{3x - 1} = 4 \\ \\ \implies{5}^{3x} - {5}^{3x} . {5}^{ - 1} = 4 \\ \\ \implies{5}^{3x}(1 - {5}^{ - 1} )= 4 \\ \\ \implies{5}^{3x} \bigg(1 - \frac{1}{5} \bigg)= 4 \\ \\ \implies{5}^{3x} \bigg(\frac{5 - 1}{5} \bigg)= 4 \\ \\ \implies{5}^{3x} \times \frac{4}{5} = 4 \\ \\ \implies{5}^{3x} = 4 \times\frac{5}{4} \\ \\ \implies{5}^{3x} =5 \\ \\ \implies \: 3x = 1 \\ \\ \huge \implies \: x = \frac{1}{3} \\\\ \huge \implies \: x = 0.33[/tex]

Answer:

200

Step-by-step explanation:

Surface are of cube = 6a^2

Answer:

216 units^2

Step-by-step explanation:

the formula to calculate area of triangle is 1/2 b×h

so...

[tex] \frac{1}{2} (27) \times (16) \\ = 216 {units}^{2} [/tex]

Answer:

Step-by-step explanation:

144 units^3

Answer:

The sum of the three mixed numbers is 11 and 9.5/16.

Step-by-step explanation:

5 and 13/16

2 and 1/8 = 2 and 0.5/16

3 and 3/4 = 3 and 12/16

10 and 25.5/16

11 and 9.5/16

Answer:

[tex]11\frac{11}{16\\} \\[/tex]

Step-by-step explanation:

Separate fractions and whole numbers

5 2 3   13/16 1/8 3/4

Add whole numbers and fractions (where the denominator is 16)

5+2+3=1                    

13/16+1/8+3/4 =

13/16+2/16+12/6=

27/16 =

[tex]1\frac{11}{16\\} \\[/tex]

27/16+10 = [tex]11\frac{11}{16\\}[/tex]

Answer:

8/10 > 5/8

Step-by-step explanation:

8/10 > 5/8

Hope this helps!