8.91203 to the nearest whole number =

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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.

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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

Explanation:

AB = AX+XB = 8+22 = 30

The ratio of AB to AX is AB/AX = 30/8 = 3.75

AC = AY+YC = 9+33 = 42

The ratio of AC to AY is AC/AY = 42/9 = 4.67 approximately

Since we don't get the same result, this means that the equation AB/AX = AC/AY is not true. The sides are not in proportion with one another, and therefore the triangles aren't similar.

The sides need to be in proportion with one another so we could use the SAS similarity rule.

Considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.

The SAS Similarity postulate or theorem, states that, when two triangles have two pairs of corresponding sides whose ratios are the same, and also has a pair congruent included angles, then, both triangles are similar.

Triangles ABC and AXY have a pair of congruent included angles, ∠BAC ≅ XAY.

Let's find out if their corresponding sides have equal ratios.

Thus:

AB/AX = 30/8 = 3.75

AC/AY = 42/9 = 4.67

Their ratios are not equal.

Therefore, considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.

Learn more about SAS similarity theorem on:

https://brainly.com/question/22472034

Answer:

5

Step-by-step explanation:

This is the Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
The hypotenuse is c so we need to make c the subject:
[tex]c = \sqrt{a^{2}+b^{2} }[/tex]
To do this I simply square rooted both sides.
Now we substitute values given to get the answer of the hypotenuse:
[tex]c = \sqrt{3^{2} + 4^{2} }[/tex]
[tex]c = \sqrt{9+16}[/tex]
[tex]c = \sqrt{25}[/tex]
c=5
The lengths 3,4,5 of a triangle are known as a Pythagorean triple.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

Answer:

okay so first to find the surface area of the net below you should always start from the line that is pointing at the end of the the i n u m so you see that is between 8 1/8 and 2 so you see the line you draw a line in the middle between 8 and then when you look and then you draw another line were 19 years and then you draw another line so you can see that at the top of 19 and there at the bottom of 918 you see that you can find the Nets below because you can see me you draw your line it shows you Drawing the Line because when you draw a circle in the middle and then you draw a another little circle in the middle is shows the surface area of the net below so bye

[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \underline{\ln(2)+\ln(8)}-\ln(4)\implies \underline{\ln(2\cdot 8)}-\ln(4)\implies \ln(16)-\ln(4) \\\\\\ \ln\left(\cfrac{16}{4} \right)\implies \ln(4)[/tex]

Answer:

The probability of rolling a 4 or greater is 12

Step-by-step explanation:

hope it helps you

mark me as branliest

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:

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

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:

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:

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

9y

(space fillerrrrr)

Answer:

7/8 = 0.875 = 87.5%

Step-by-step explanation:

7/8 = 0.875 = 87.5%

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:

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:

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

Step-by-step explanation:

Custom file created rather than math ML for neatness.

Carla would have about 795 pictures on May 16th.

A linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the y intercept.

Let y represent the number of pictures after x days.

At April 30th, Carla sees that she has 235 pictures, hence b = 235. Also,  she takes 35 pictures each day, hence m = 35. The equation is:

y = 35x + 235

On May 16th, x = 16 hence:

y = 35(16) + 235 = 795

Carla would have about 795 pictures on May 16th.

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

ABCD is the quadrilateral

Answer:

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

Step-by-step explanation:

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:

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:

[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:

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:

C

Step-by-step explanation:

hope this helps :)

Answer:

8/10 > 5/8

Step-by-step explanation:

8/10 > 5/8

Hope this helps!