Find QR.
Write your answer as an integer or as a decimal rounded to the nearest tenth.

[tex]\tan 195^{\circ}\\\\=\tan\left(3 \times 90^{\circ} - 75^{\circ} \right)\\\\=\cot 75^{\circ}\\\\=\left(\tan 75^{\circ} \right)^{-1}\\\\= \textbf{[}\tan \left(30^{\circ} + 45^{\circ}\right) \right \textbf{]}^{-1}\\\\=\left(\dfrac{\tan 30^{\circ} +\tan 45^{\circ}}{1- \tan 45^{\circ} \cdot \tan 30^{\circ}} \right)^{-1}\\\\\\=\left( \dfrac{\dfrac 1{\sqrt 3}+1}{1- \dfrac 1{\sqrt 3}} \right)^{-1}\\\\\\=\left( \dfrac{\sqrt 3+1}{\sqrt 3-1}\right)^{-1}\\\\\\=\dfrac{\sqrt 3-1}{\sqrt 3 +1}\\[/tex]

[tex]=\dfrac{\left( \sqrt 3-1\right)^2}{\left( \sqrt 3+1\right)\left( \sqrt 3-1\right)}\\\\\\=\dfrac{3+1-2\sqrt 3}{3-1}\\\\\\=\dfrac{4-2\sqrt 3}{2}\\\\\\=2-\sqrt 3[/tex]

Answer:

2/5 of the sugar is caster sugar

Answer:

I believe C is the closest equation to the graph

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

Check out the attached photo

Answer:

the answer is 144

Answer:

144 inches

Step-by-step explanation:

There are 12 inches in 1 foot,

So 12 times 12 is 144 inches.

Answer:

179.59438

rounded to the nearest tenth would be 179.6

Step-by-step explanation:

use this formula

volume = (4/3) · π · r3

Answer:4(5x+1)

Step-by-step explanation: you want to subtract the numbers 4+5x(6-2)/4+5x(4) so you'll need to  multiply 5 and 4 so 4+5x*4 but i'm goin to make it smaller so it would be 4+20x  but you have to rearrange it instead of it being 4+20x it would be 20x+4 .And the common factor would be 4(5x+1).

I hope this helps and makes sense.

Answer:

A. 4(12)

C. 36+12

E. (9+3) +(9+3) +(9+3) +(9+3)

Step-by-step explanation:

[tex]4(9+3)=48[/tex]

[tex]4*9=36\\4*3=12[/tex]

           [tex]48[/tex]

[tex]4*12=48[/tex]

[tex]36+12=48[/tex]

[tex](9+3) +(9+3) +(9+3) +(9+3)\\12+12+12+12[/tex]

=48

Answer:

I do know Part B. No, Renees mom does not have enough, since 4 ounces per day, isn't enough coffee. Hope this helped!

Step-by-step explanation:

Answer:

A=p2-2p-3

Step-by-step explanation:

The area for a triangle is given by:

A=1/2bh

The base is p + 1 and the height is 2p - 6. Therefore:

A=1/2(p+1)(2p-6)

Simplify the second term:

A=(p+1)(1/2)(2p-6)=(p+1)(p-3)

Distribute:

A=p(p-3)+1(p-3)

Distribute:

A=p2-3p+p-3

Combine like terms:

A=p2-2p-3

Answer:

ig 2 months

Step-by-step explanation:

If you were born in 1955 your full retirement age is 66 and 2 months. If you start receiving benefits at age 66 and 2 months you get 100 percent of your monthly benefit. If you delay receiving retirement benefits until after your full retirement age, your monthly benefit continues to increase.

The price that it cost to seed the inside of this track is $1,040.4

The formula for calculating the area of a rectangle is expressed as:

A  = length * width

Let the length be 51 and the width be 102 yd such that:

Area of the grass = 51 * 102
Area of the grass = 5202 square yard

If it costs $.25 per square yard to seed an area of grass, the price fror the area inside the track is:

Price = 0.2 * 5202
Cost of the track = $1,040.4

Hence the price that it cost to seed the inside of this track is $1,040.4

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The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute.

Geometrically speaking, the average rate of descent (r), in feet per minute, is represented by a secant line, which represents in this case the change in elevation (Δz), in feet, divided by the change in time (Δt). A mathematical description of the formula is shown below:

r = Δz/Δt     (1)

If we know that Δz = 30 ft and Δt = 40 min, then the average rate of descent is:

r = 30 ft/40 min = 0.75 ft/min

The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute. [tex]\blacksquare[/tex]

To learn more on average rates, we kindly invite to check this verified question: https://brainly.com/question/14712970

Answer:

Step-by-step explanation:

A

The given composition function is combination is F(x)=√x+1 and G(x)=3x. Therefore, option D is the correct answer.

The given function is G(F(x))=3(√x+1).

F(x)=√x+1 and G(x)=3x

The composite function is G(F(x))

Replace x by √x+1 in 3x, we get

3(√x+1)

Therefore, option D is the correct answer.

To learn more about the composite function visit:

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Answer:

Step-by-step explanation:

no problem

296 rounded to the nearest hundred would be 300 and 2423 would be 2400 there hope it helps

The product of 296 and 2.423 rounded to the nearest hundred would be 717.20

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of trimmed from the right in terms of exact digits.

We need to find the product of 296 and 2.423

296 x 2.423 = 717.20

Thus, 717.20 rounded to the nearest hundred .

Learn more about rounding numbers  here:

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Answer:

-2

Step-by-step explanation:

plug values for r and s into the equation 8r - 10s.

so, 8(11) - 10(9)

88 - 90 = -2

hope this helps!

Answer: 29 cookies.

Step-by-step explanation: 96/8=32       32-3=29        boom. maths.

The number of cookies baked by Grandma= 96

If she divides them evenly amount 8 children, then by division operation the number of cookies received by each child = (number of cookies) ÷ (number of children)

= (96) ÷ (8) = 12

Since, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.

Hence, the number of cookies received by Cindy = 12-c

Answer:

i didnt understand the awnser fully but if i did the awnser is 5 cents a donut

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

306/9=34

Answer:

monkey is monkey so monkey and monkey conbided = baby little happy monkey

Step-by-step explanation:

Answer:

Jaun's solution is incorrect.

Step-by-step explanation:

If Jaun's solution to the equation is 33, we can check this by substituting z=33 and solving 33 - 14 = 29. Since 33-14=19 and 19 does not equal 29, Jaun's answer is incorrect.

Hope this helps! :)

Answer:

Fraction form: [tex]\frac{3}{2}[/tex]
Decimal form: 1.5
Mixed number form: 1 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Find the greatest common factor between the two numbers in the fraction, in this case the largest number both can be divided by equally is 2, so,

Take [tex]\frac{6}{4}[/tex] and divide both parts by 2:

6 ÷ 2 = 3

4 ÷ 2 = 2

Which gives you [tex]\frac{3}{2}[/tex]

Answer:

sine(∡DAB) = 0.5

Step-by-step explanation:

∡[tex]ACD=[/tex]∡[tex]ADB[/tex] = 60°

∡[tex]DAB=(180-90-60)^{o} =30^{o}[/tex]

[tex]sin(30^{o})= 0.5[/tex]

Hope this helps

Answer:

[tex]95\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]4\frac{1}{2} * 2\frac{1}{2} * 8\frac{1}{2}[/tex] = 9/2 * 5/2 * 17/2

765/8 = [tex]95\frac{5}{8}[/tex]

Ans:

11 and four twelfths

Step-by-step explanation:

Answer:

A fingerprint can last on a surface from 2 hours to 40 years on average.

Step-by-step explanation:

Most fingerprints will get erased due to impact from humidity and heat.

Answer:

Integer: 9

Nearest 10th: 9.5

Step-by-step explanation: