Answer:
Step-by-step explanation:
\[2~ sin^2 x+3sin x+1=0\]
\[2sin^2x+2sin x+sin x+1=0\]
2sinx(sin x+1)+1(sin x+1)=0
(sin x+1)(2 sin x+1)=0
either sin x+1=0
sin x=-1=sin 3π/2=sin (2nπ+3π/2)
x=2nπ+3π/2,where n is an integer.
or 2sin x+1=0
sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)
x=2nπ+7π/6,2nπ+11π/6,
where n is an integer.
At the Victoria falls in Zimbabwe, 550 000 cubic metres of water flow over the edge every
minute. Calculate how much water flows over the edge in one day. Write your answer in
scientific notation.
792,000,000,0
Step-by-step explanation:
550,000 x 60 = 330,000,00 (To get hourly rate)
330,000,00 x 24 = 792,000,000,0 (To get daily rate)
Hope this helps! :)
Solve by the square root method
5x²-20=0
Answer:
The answer is 2
Step-by-step explanation:
5x² = 20
x² = 4
x = 2
what is the mode of 0.3 0.9 0.2 0 0.7 0.9 0.4
the mode would be 0.9 !
please mark brainliest :3 ♡
Answer:
0.9
Step-by-step explanation:
Mode is the number that occurs most often.
So, the easiest way to do this would be to list out all of your values and count 'em up.
0:one
0.2:one
0.3:one
0.4:one
0.7:one
0.9:two :)
If RS is parallel to AB, what is the width of the sand trap?
a. 149 b. 82 c. 107 d. 84
please helpppp
5/8 divided by 2
I need this fast!
Answer:
1 1/4
Step-by-step explanation:
5/8 ÷ 2
Copy dot flip
5/8 * 2/1
Rewriting
5/1 * 2/8
5 * 1/4
5/4
1 1/4
[tex] \large \color{lime}Answer:[/tex]
[tex] \frac{5}{8} \div 2 = \frac{5}{8} \times \frac{1}{2} = \frac{5}{16} [/tex]
[tex] \large \color{gold}Explaination:[/tex]
Change divide into multiplication then find the reciprocal of 2 then change the places of it then multiply to 5/8 and you will get the product.
The radius of a circular plate is 7 inches.
Find it's area.( use π= 3.14 )
Round to the nearest hundredth
Answer:
153.94 in²
Step-by-step explanation:
The equation for Area is
Area = πr²
Plugging in the value for the radius into r, it will be
(note, r means radius)
Area = π(7)²= 49π ≈ 153.94
The units is -> in² so add that in the end
En una competición participan 200 atletas, 2/5 son españoles, 1/3 del resto son franceses, 35 son alemanes y el resto son ingleses. ¿Cuál es la fracción de atletas alemanes que hay?
Answer:
7/40
Step-by-step explanation:
La fraccion de Alemanes son 35/200=7/40
PLZ use the information given to write the equation of the circle.
Center: (0,-16), Radius: √15
A: x2+(y+16)2 = 15−−√
B: (x+16)2+y2=15
C: x2+(y+16)2= 15
D: x2+(y−16)2 = 15
Answer:
x^2+(y+16)^2=15
Step-by-step explanation:
(x-0)^2+{y-(-16)}^e=(√15)^2
→x^2+(y+16)^2=15
Answer:
C. x² + (y + 16)² = 15Step-by-step explanation:
Equation of circle:
(x - h) + (y - k) = r², where (h, k) is the center and r is the radiusWe have:
h = 0, k = -16, r = √15Substitute the given into the equation above and get the equation of the given circle:
(x - 0)² + (y - (16))² = (√15)² ⇒x² + (y + 16)² = 15Correct choice is C
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
0
Step-by-step explanation:
13 (3) = ???
Please help ant get the answer for nothing...
Answer:
39
Step-by-step explanation:
13 x 3?
What is the value of h in the triangle below?
Answer:
2
Step-by-step explanation:
That side has to be smaller than 3 since it’s the length of the bigger triangle side making 2 the only possible answer because it’s the smallest answer.
adam wishes to have 25000 avalible in 18 years to purches a new car for his son as a gift for his highscho graduation. to accomplish this goal, how much should adam invest now in a CD that pays 1.38% interest compounded quaterly?
um someone pls help me
Answer:
s : m : l
2u : 3u : 7u
small bag=15kg
medium bag=22.5kg
large bag=52.5kg
A cube has an edge length of 10 centimeters. What is it’s volume, in cubic centimeters?
Answer:
volume=360000 cubic cm.
Step-by-step explanation:
V=a^2
A=6 x s^2
Side = 10
6 times 10^2
10^2=100
6 times 100
Area=600
v=Area(600)^2
Answer:
Step-by-step explanation:
The volume of any rectangular prism is
V=xyz, where x,y,z are its dimensions.
A cube is a special case where x=y=z, meaning all sides are the same, so for a cube
V=s^3, and in this case the cube has sides equal to 10cm so
V=10^3 cm^3
V=1000 cm^3
What is the equation and how do you figure it out?
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=71°, and RS = 2.5 feet. Find the length of SQ to the nearest tenth of a foot
Answer:
Answer is in the picture
Answer: 0.9
tan71=
x
2.5
x\tan 71=2.5
xtan71=2.5
\frac{x\tan 71}{\tan 71}=\frac{2.5}{\tan 71}
tan71
xtan71
=
tan71
2.5
x=\frac{2.5}{\tan 71}=0.8608\approx 0.9\text{ feet}
x=
tan71
2.5
=0.8608≈0.9 feet
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage? 67.75% 54.71% 38.14% 23.22%
Answer:
67.75%
Step-by-step explanation:
Given:
Given that:
µ = 76 ; σ = 4.7
P(x < 80.7) - P(x < 71.4)
Obtain the standardized score, Z ; x = 71. 4
Zscore = (x - μ) / σ
P(x < 71.4) = (71.4 - 76) / 4.7
P(x < 71.4) = - 4.6 / 4.7
P(x < 71.4) = - 0.9787
P(z < 0.9787) = 0.16386
x = 80.7
P(x < 80.7) = (80.7 - 76) / 4.7
P(x < 80.7) = 4.7 / 4.7
P(x < 80.7) = 1
P(z < 1) = 0.84134
0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%
A soccer game is 60 minutes long. Forty-one minutes of the game
have been played. Write and solve an equation to find the number
of minutes m that remain. Enter your answer as m=?
Given that 5^-n = 0.5
Find the value of (5^n)³
Answer:
Step-by-step explanation:
3 = (-1) * (-3)
So, Now we can write
[tex](5^{n})^{3}= (5^{n})^{-1 * -3}\\\\= (5^{n*-1})^{-3}\\\\=(5^{-n})^{-3}\\\\= (0.5)^{-3}\\\\= \frac{1}{0.5^{3}}\\\\=\frac{1}{0.125}[/tex]
If x and y vary inversely and x = 1 when y = 11, find x when y = 5.5.
Answer:
If the variable Y being 5.5 it's because she was divisible by two. So if I divise X by 2 the reply is 0.5. So at least if y is 5.5, x is 0.5.
Step-by-step explanation:
Does anyone know this??
Answer:
6.3×100^12
Step-by-step explanation:
hope it helps
58 8.6 1.5.
What is the value of x in the figure
below?
I AM BEGGING YOU
Hey there!
The correct answer is 50 degrees.
To do this, we can figure out all the angles in the triangle. We know one angle: 45 degrees. To find the angle above that angle, we can use the 95 degrees and use linear angles to figure out that missing angle.
A linear pair adds up to 180 degrees, which means that 95 + (missing angle) = 180. 95 + 85 = 180. Therefore, we have two of the three angles in the triangle.
In a triangle, the number of angles adds up to 180 degrees, which means that 45 + 85 + (angle across from x) = 180. 45 + 85 + 50 = 180.
Now we have all the angles in the triangle.
With that information, we can use vertical angles to solve for x. If there are two lines that intersect, the angles opposite eachother are always equal. The angle opposite of x is 50; therefore x is equal to 50 degrees.
Have a terrificly amazing day! :D
What is the IQR for the following set of data
17, 11, 12, 18, 12, 16, 15, 14, 13
Answer:
First, we have to set it from least to greatest 11, 12, 12, 13, 14, 15, 16, 17, 18
The interqurtile range is q3 - q1
Q3 is 16.5 and the q1 is 12
16.5 - 12 = 4.5
Step-by-step explanation:
Answer is 4.5
Interquartile range (IQR) :
The interquartile range shows the range in values of the central 50% of the data. To find the interquartile range, subtract the value of the lower quartile ( or 25%) from the value of the upper quartile ( or 75%).
=> IQR = Q3 – Q1
Here,
First Arrange the data in ascending order.
11, 12, 12, 13, 14, 15, 16, 17, 18
Median = 14.
Q1 = 12 and Q3 = 16.5
IQR = Q3 - Q1 => 16.5 - 12 = 4.5
Answer is 4.5
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HEEEEEEEEEELPPP I NEED ANSWER HELP
A bakery sold 154 mocha cupcakes in a day, which was 35% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
440 bevause 154 is 35 percent of 440
The 154 mocha cupcakes represents a proportion of the total cupcakes sold in the bakery. The total number of cupcakes sold in the bakery on that day is 440.
Given that:
[tex]Mocha = 154[/tex]
From the question, we understand that the bakery sells other cupcakes too.
And Mocha only represents 35% of the total.
This means that:
[tex]Mocha = 35\% \times Total[/tex]
So, we have:
[tex]154 = 35\% \times Total[/tex]
Make Total the subject
[tex]Total = 154 \div 35\%[/tex]
[tex]Total = 440[/tex]
Hence, 440 cupcakes were sold on that day.
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6) Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and tangerine trees there. According to the survey, the field is thirty metres long and twenty-six metres wide. What is the perimeter of the field in kilometres?
Answer:
the perimeter of the field in kilometers is 112 km
Step-by-step explanation:
The computation of the perimeter of the field in km is shown below:
As we know that
Perimeter is
= 2(length + width)
= 2(30 + 26)
= 2 (56)
= 112 km
Hence, the perimeter of the field in kilometers is 112 km
the product of two and a number, divided by five
Answer:
10
Step-by-step explanation:
2×5=10.
10÷2=5
That should be the answer.
If cost of 15 eggs is ? 75, then find out the cost of 4 dozens eggs.
? 185
? 150
? 300
? 240
Answer:
240 is the amount
Answer:
240
Step-by-step explanation
1. 75 ÷ 15 =5
2. 12 x 4 = 48
3. 48 × 5 = 240
Describe two different ways to find the total area of the park.
Answer:
1. Combine the like terms from all 3 sections then subsite for X.
2. You can subsitue X in and solve the areas for each section, then adding up the 3 areas.
Step-by-step explanation:
The two ways to find the total area of the park are:
Add the Areas of Each Section
Use Geometric Shapes
Both methods should give us the same total area of 3x² + 175x + 1200 ft².
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Method 1:
Add the Areas of Each Section
We can find the total area of the park by adding the areas of each section. Therefore, the total area is:
Total Area = Game field + Picnic field + Recreation area
Total Area = (x² + 95x + 450) + (x² + 45x + 450) + (x² + 35x + 300)
Total Area = 3x² + 175x + 1200 ft²
Method 2:
Use Geometric Shapes
Another way to find the total area of the park is to use geometric shapes that represent each section.
We can see that the Game field and Picnic field have the same area of
x² + 95x + 450 ft², which we can represent as a rectangle.
The Recreation area has an area of x² + 35x + 300 ft², which we can represent as a triangle.
Therefore, the total area of the park is the sum of the areas of the rectangle and triangle.
Total Area = Area of Rectangle + Area of Triangle
Total Area = (x + 15)(x + 30) + (1/2)x(x + 35)
Total Area = 3x^2 + 175x + 1200 ft^2
Thus,
Both methods should give us the same total area of 3x² + 175x + 1200 ft².
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alex works for his father assembling clock motors he is paid a piecework rate of $8.50 per motor. this week he assembled 21 motors
Answer: $178.50
Step-by-step explanation:
If Alex is paid a piecework rate of $8.50 per motor, then;
Price per motor assembly = $8.50
By assembling 21 motors Alex gets,
1 motor = $8.50
21 motors = (21 * $8.50) / 1
= $178.50 / 1
= $178.50
By assembling 21 motors,
Alex gets $178.50
Find the measure of angle F
Answer:
∠ F = 80°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
7x + 7x + 4x + 7x + 7x + 4x = 720
36x = 720 ( divide both sides by 36 )
x = 20
Then
∠ F = 4x = 4 × 20° = 80°