Answer: 11pi/6, choice c
Step-by-step explanation:
Answer can be found on a unit circle. We had to memorize it in my class.
Solve: 3^x+1 + 3^x= 108
Answer:
x = 3
Step-by-step explanation:
[tex] {3}^{(x + 1)} + {3}^{x} = 108 \\ \\ {3}^{x} .3 + {3}^{x} = 108 \\ \\ {3}^{x} (3 + 1) = 108 \\ \\ {3}^{x} (4 )= 108 \\ \\ {3}^{x} = \frac{108}{4} \\ \\ {3}^{x} = 27 \\ \\ {3}^{x} = {3}^{3} \\ \\ \implies x = 3[/tex]
Solve for X!!! i neeed help
spam will be reported.
Answer:
x=5
Step-by-step explanation:
All we have to do for this equation is cross multiply. This means we multiply 7 and 5 together and 5 and x+2 together. This will make the equation 35=5(x+2). Simplify this to get 35=5x+10. Subtract 10 from both sides to get 5x=25. You want to isolate x so you have to divide both sides by 5. This will make the equation x=5.
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A building 190 feet tall casts a 60-foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)
Answer:
The angle is approximately 81 degrees. Since the person's eyes are 4 feet above the ground level, and the top of the building is 190 feet tall, the vertical distance between the person's eyes and the top of the building is 190-4=186 feet. The horizontal distance is 30 feet, since the person is standing at the end of the shadow. Therefore tan(angle)=186/30, the angle is equal to arctan(186/30)=81, approximately.
Step-by-step explanation:
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.
Answer:
1. 6
2. 6
3. 10
4. 600
Step-by-step explanation:
edg :)
The complete table is given below.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).
The functions are given below.
f(x) = 2x
g(x) = 3x
h(x) = f(x) × g(x) = 6x²
Complete the table with the missing side lengths and areas of the deck.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
More about the function link is given below.
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6m-8=16 solve plssssssss!!!!
Please help, im stuck and this is due in 10 minutes.
What is another way to express 42 +24?
Answer:
42*2
Step-by-step explanation:
42*2
Answer:
24 + 42, if thats not what your looking for comment and I'll fix it! :)
Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?
Answer:
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
Step-by-step explanation:
We proceed to use the following trigonometric identity to derive an expression in rectangular form:
[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)
Where:
[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]
Then, we expand the expression as follows:
[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
What is the value when 18 times of the difference of 15 and 12
divided by 6?
Answer:
9
Step-by-step explanation:
forget all this grammar,
let the number be x,
x = {18(15-12)} / 6
x = {18(3)} / 6
x= 54/6
x= 9
value is therefore 9
f(x) = x^2. what is g(x)?
If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters. True False
Answer:
True
Step-by-step explanation:
The Answer is 75.36 cm
2 x (pi)3.14 = 6.28
6.28 x (r)3 = 18.84
18.84 x (h)4 = 75.36
The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.
What is cylinder?"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."
Formula to calculate the area of the lateral surface of a cylinder:For a cylinder with radius r and height h,
the curved / lateral surface area is,
A = 2 × π × r × h
Given: r = 3 cm, h = 4 cm
Using the formula for area of lateral surface of a cylinder:
⇒ A = 2 × π × 3 × 4
⇒ A = 24 × π
⇒ A = 24 × 3.14
⇒ A = 75.36 sq.cm.
Therefore, given statement is true.
Learn more about lateral surface area of cylinder here:
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Use systems of linear equations solve x+2y=4
Must include;
Step to solve problem
Answer: y=2-2x
Step-by-step explanation:
Darell made a scale drawing if a house its lot he used the scale 1 inch: 9 feet in the drawing the backyard is 5inches wide what is the width of the actual yard
Answer:
Your answer is 45
Step-by-step explanation:
Hope this helps! :D
160% of what number 56?
Answer:
160% of 35 is 56.
Step-by-step explanation:
[tex]\frac{56}{y} :\frac{160}{100}[/tex]
y · 160 = 56 · 100
160y = 5600
160y ÷ 160 = 5600 ÷ 160
y = 35
Please answer for branliest
900% of what number is 7,470
Answer:
830
Step-by-step explanation:
7470/9 = 830
Answer:
900% of 7470=67230
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 7470 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 7470 is 100%, so we can write it down as 7470=100%.
4. We know, that x is 900% of the output value, so we can write it down as x=900%.
5. Now we have two simple equations:
1) 7470=100%
2) x=900%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
7470/x=100%/900%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 900% of 7470
7470/x=100/900
(7470/x)*x=(100/900)*x - we multiply both sides of the equation by x
7470=0.11111111111111*x - we divide both sides of the equation by (0.11111111111111) to get x
7470/0.11111111111111=x
67230=x
x=67230
now we have:
900% of 7470=67230
1. Josiah Sloan deposited $8,000 at 5.5% interest compounded daily for 25 days.
Answer:
$30507.14
Step-by-step explanation:
(8000)(1+.055)^25= 30507.138789 rounded to the nearest penny = $30507.14
what number between 121 and 149 is exactly divisible by both 3 and 5
Answer:
135
Step-by-step explanation:
135 by 3 is 45
by 5 is 27
Answer:
135
Step-by-step explanation:
135 ÷ 5 = 27
135 ÷ 3 = 45
hope this helps
What is the distance between (2, 5) and (2, -7)?
Question 1 options:
2
5
12
14
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
what is the answer to 3(x-2)+15=-3(x-3)
i will give brainliest
Answer:
x = 0
Step-by-step explanation:
3(x - 2) + 15= -3(x - 3)
3x - 6 + 15 = -3x + 9
3x + 9 = -3x + 9
3x + 3x = 9 - 9
6x = 0
x = 0
In each of the following equations, find all the integers x satisfying the equation:
a. | x-20 | = 20
b. | x | + 7 = 16
c. | 15x | = | -15x |
Answer:
b
Step-by-step explanation:
Help me I don’t understand I’m very confused
Answer:
5 meters
Step-by-step explanation:
Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshirt costs 30% more at Store B.
Zoe wrote the expression 25+0.3(25) to find the price of the sweatshirt at Store B.
Which equivalent expression could she also use to find the price of the sweatshirt at Store B?
A) (1+0.3)25
B) (1−0.3)25
C) 1+0.3(25)
D) 25 + 0.3
Answer:
A) (1+0.3)25
Explanation:
Zoe's expression 25+0.3(25) equals to 32.5. So the only expression that equals to 32.5 is A) (1+0.3)25.
True or false: 12 + 18 is equivalent to 6(2+3).
Answer: True
Step-by-step explanation:
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill? Explain.
Answer:
see below
Step-by-step explanation: 5 26 9 17
cylinder with a radius of 7cm and a height of 10 cm
find the value of each flower pot and divided it into 24000 cm³
flower pot = π r² h = π × 7² × 10 = π490 = 1539.38 cm³
24000 cm³ / 1539.38 cm³ = 15.59 flower pots
so Carl could only FILL 15 flower pots
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil. So, Carl could only fill 15 flower pots.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The cylinder with a radius of 7cm and a height of 10 cm.
The flower pot = π r² h
[tex]= \pi \times 7^2 \times h\\ = 490 \pi \\ = 1539.38 cm^3[/tex]
= 24000 cm³ / 1539.38 cm³
= 15.59 flower pots
So, Carl could only fill 15 flower pots.
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What are the square roots of 100?
Answer:
10 and -10.
Step-by-step explanation:
10 * 10 = 100
-10 * -10 = 100.
From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event? A) The probability of drawing the black card is 1/2 B) The probability of drawing the diamond is 1/4 C)The probability of the compound event is 1/6 D) The probability of the compound event is 1/8 E) The probability of the compound event is 3/4
the perimeter of the rectangular window glass is 26 dm. if the area is 36 sq dm, what are the dimensions of the window glass?
Answer:
w = 4 and l = 9 or
l = 4 and w = 9
Step-by-step explanation:
let l = length
let w = width
2l + 2w = 26
lw = 36
l = 36/w
2(36/w) + 2w = 26
72/w + 2w = 26
(72 + 2w²) ÷ w = 26
cross-multiply:
2w² + 72 = 26w
2w² - 26w + 72 = 0
factor:
2(w² - 13w + 36) = 0
2(w - 4)(w - 9) = 0
w = 4 and l = 9 or vice versa
Plz help me well mark brainliest if you are correct!!
Answer:
B) 35°
Step-by-step explanation:
12.00P.M.= 85°
8.00A.M.= 50°
=85-50
=35°
Find the area of each figure. Round to the nearest tenth. Use 3.14 or 22/7
a. 18.8
b.9.4
c. 113
d. 28.3
Answer:
d. 28.3
Step-by-step explanation:
Given
Radius ( r) = 3 m
Area of the circle
= π r²
= 3.14 * 3* 3
= 28.26
= 28.3 ft²