1) The sum of the digits in a 2 digit number is 7. Reversing the digits increases the number by 9. What is the number?

Answer:

Step-by-step explanation:

SOH CAH TOA

cos K  = 36/48 = 3/4

SIN L = 36/48 = 3/4

The trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The triangle JKL is right angled triangle.

In the triangle KL is the opposite side of angle J.

SinL = Opposite/Hypotenuse

CosK = Adjacent/Hypotenuse

Used here, this means ...

sin(L) = KL/JL = 36/60 =6/10=3/5

cos(K) = KJ/KL = 36/60 = 6/10=3/5

sin(L) and cos(K) are equal

Hence, the trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

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[tex]8x \leqslant 29[/tex]

Answer:

8x ≤ 29

Step-by-step explanation:

The reason why is because, 8 times 'x' also means 8 multiplied by x.

The words less than or equal to mean ≤, this is because the less than sign (<) denotes that the product of 8 and 'x' is below 29 and the line underneath the less than sign (<) means that it is equal to.

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

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The area, in square inches, of the entire trapezoidal rear window is 882 square inches.

A trapezoid is a convex quadrilateral with at least on pair of parallel sides. The parallel sides are called bases while the non parallel sides are called legs.

Area of a trapezoid =  0.5 x (sum of the lengths of the parallel sides) x height

Area of a trapezoid =  0.5 x (36 + 48) x 21 = 882

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Step-by-step explanation:

the first graph

0=|x+2| f(0)=|0+2|

|x+2|=0 f(0)=|2|

x+2=0 f(0)=2

x=-2

Answer:

First graph X=-2

The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

A function is a rule that relates two variables.

Let us check the x-intercept, y-intercept, and maximum value for each function.

1)y =-3Sin(x)

for x-intercept put y=0

0 = -3Sin(x)

Sin(x) =0

x=0

for y-intercept put x=0

y=-3Sin0

y=0

The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3

Similarly, for y = -3cos(x)

x-intercept =π/2

y-intercept = 3

Maximum value of function = lower limit  of the range of  3cos(x) i.e. 3

Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

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Answer:

B.    y = –3cos(x)

Step-by-step explanation:

Im extremely sure, have a great day

Using the binomial distribution, it is found that she should expect it to land on 3 9 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem:

Then, the expected value is given by:

E(X) = np = 36 x 0.25 = 9.

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(1/3)³ = 1³ / 3³ = 1/27

1/27

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The probability of getting exactly 4 heads is 0.23.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Let p represents the probability of getting head in a toss of a fair coin, so

[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]

Let X denote the random variable representing the number of heads in 6 tosses of a coin.

The probability of getting r sixes in n tosses of a fair is given by,

Probability of getting 4 heads :

[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]

Hence, the probability of getting exactly 4 heads is 0.23.

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Answer:

$60 per ticket

Step-by-step explanation:

$215 is what it costs after the discount, so add the amount taken off, back on.

215+25

240

Then, divide by 4 to find the cost of each individual ticket.

240/4

60

Answer:

.1825 per ounce

Step-by-step explanation:

find the per ounce for each equation, then find the average per ounces from the 4 equations

Answer:

11.25

Step-by-step explanation:

Base on the given we can conclude that:

3.75 + 6 × 1.25

Now solve the following:

3.75 + 6 × 1.25

3.75 + 7.50

=11.25

~lenvy~

Answer:11.25

Step-by-step explanation:

Answer:

18.75

Step-by-step explanation:

Answer:

x = 0

Divide both sides by the numeric factor on the left side, then solve.

Answer:

x=0

Step-by-step explanation:

1. Solve

-5(2x-3)=15

-10x+15=15

-10x+15-15=15-15

-10x=0

-10x/-10=0/-10

x=0

2. Check

-5(2x0-3)=15

-5(0-3)=15

-5x-3=15

15=15

3. Answer

x=0

Answer:

Step-by-step explanation:

Here 8 and 10 are the like terms (both are constants)

-3k -(-8) + 2 = -3k + 8 +2

                    = -3k + 10

Answer:

The 4th one. Math class grade decreases if the number of days absence increases.

Step-by-step explanation:

With more days absent, lower math grade is shown.

Answer: B

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

254.95

.95 is closest to 255.

254.95...255.

no. the word technology spans every invention ever created. we don't.

Answer:

Yes, We as a society rely too much on technology because it is the new thing that everyone wants or needs. Technology can buy your groceries and food with a single click.

Step-by-step explanation:

Answer:

z = 50.2802734375

Step-by-step explanation:

y = 15.5

y is 512 times x

z is 50.25 more than x

15.5/512 = 0.0302734375

x = 0.0302734375

0.0302734375 + 50.25 = 50.2802734375

z = 50.2802734375

Answer:

the answer is the number 23

Answers:

5.) [tex]\displaystyle \pm{8\sqrt{3}}[/tex]

4.) [tex]\displaystyle 3\sqrt[5]{3}[/tex]

3.) [tex]\displaystyle \pm{8\sqrt{5}}[/tex]

2.) [tex]\displaystyle 3\sqrt[3]{3}[/tex]

1.) [tex]\displaystyle \pm{3\sqrt{2}}[/tex]

Step-by-step explanations:

5.) [tex]\displaystyle \sqrt{27} + \sqrt{75} \hookrightarrow \pm{3\sqrt{3}} + \pm{5\sqrt{3}} \\ \\ \boxed{\pm{8\sqrt{3}}}[/tex]

4.) [tex]\displaystyle \sqrt[5]{3} + \sqrt[5]{96} \hookrightarrow \sqrt[5]{3} + 2\sqrt[5]{3} \\ \\ \boxed{3\sqrt[5]{3}}[/tex]

3.) [tex]\displaystyle \sqrt{45} + \sqrt{125} \hookrightarrow \pm{3\sqrt{5}} + \pm{5\sqrt{5}} \\ \\ \boxed{\pm{8\sqrt{5}}}[/tex]

2.) [tex]\displaystyle \sqrt[3]{3} + \sqrt[3]{24} \hookrightarrow \sqrt[3]{3} + 2\sqrt[3]{3} \\ \\ \boxed{3\sqrt[3]{3}}[/tex]

1.) [tex]\displaystyle \pm{\sqrt{2}} + \sqrt{8} \hookrightarrow \pm{\sqrt{2}} + \pm{2\sqrt{2}} \\ \\ \boxed{\pm{3\sqrt{2}}}[/tex]

I am joyous to assist you at any time.

Answer:

a = ±6x

b = ±7

Step-by-step explanation:

1.

a² = 36x²

a = ±√(36x²)

a = ±6x

2.

b² = 49

b = ±√(49)

b = ±7

Answer:

  30 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the rectangle and the area of the triangle.

The area of the rectangle is ...

  A = LW = (12 cm)(4 cm) = 48 cm²

The area of the triangle is ...

  A = 1/2bh = 1/2(9 cm)(4 cm) = 18 cm²

__

The shaded area is the difference ...

  rectangle area - triangle area = 48 cm² -18 cm² = 30 cm²

The area of the shaded region is 30 square centimeters.

Answer:

Step-by-step explanation:

A(rectangle) - A(triangle)

L×W - ½×B×H

12×4 - ½×(9)×(4)

48 - 2×(9)

48 - 18

= 30cm²

Answer:

the slop is 1

Step-by-step explanation:

hop that help

Answer:

60 + 6n

Step-by-step explanation:

Distribute 6 to both terms:

6 * 10 is 60

6 * n is 6n

Both total are 60 + 6n

Hey there!

6(10 + n)

= 6(10 + 1n)

DISTRIBUTE 6 WITHIN the PARENTHESES

= 6(10) + 6(1n)

= 60 + 6n

= 6n + 60

Therefore, your answer is: 6n + 60

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The formula for surface area of a rectangular prism or cube is:

SA = 2 (LW+LH+WH)

So, we do, 2 (2×2+2×2+2×2)

So, the answer is 2×12 or 24 cm²