Answer:
{-π/2, π/2}
Step-by-step explanation:
Rewrite this as:
7sin^2 x - 14sin x + 7 = 0. Reduce this result by dividing all terms by 7:
sin^2 x - 2sin x + 1
Temporarily replace "sin x" with y:
y^2 - 2y + 1 = 0
Solve this through factoring: (y - 1)^2 = 0, or y - 1 = ± 0, or y = ±1
Recalling that y = sin x, we write
sin x = ±1, whose solutions are sin x = 1 and sin x = -1
The solution of sin x = 1 is π/2 and that of sin x = -1 is -π/2
and so the solution set is {-π/2, π/2}
Two sides of a triangle have the following measures. Find the range of possible measures for the third side.
9, 5
Answer:
if right triangle 10.2956 hypotenuse 7.4833 if not a right triangle then greater than 4
Step-by-step explanation:
If it’s a right triangle, and the 2 sides are 5 and 9, then the 3rd side ( the hypotenuse) will be 10.2956. If one side is 5, and the hypotenuse is 9, then the 3rd side will be 7.4833.
If it’s not a right triangle, then the 3rd side must be greater than 4.
PLZ HELP FAST
Find the difference of 36.598 - 0.001
Answer:
36.598 - 0.001 = 36.597
How can you drop two eggs the fewest amount of times, without them breaking?
Answer:
Drop the egg from half way up the building. This divides the search space in half. If it breaks, start on the bottom floor and work your way up. If it doesn't, start on the next floor up and continue up.
Answer:
By not dropping them at all, 0 times
Step-by-step explanation:
Because common senseThe graph below shows the solution to which system of inequalities?
The graph that shows the solution of the system of inequalities is A y> -3 and y≤ -x
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
We have been given graph,
we can see that shaded portion lies above the dotted line which shows open interval (y >-3 ).
Here the graph lies below the line y= -x ,
Thus, the solution region will be y ≤ -x ,
hence, the solution region is given by system of inequalities ;
y> -3 and y≤ -x
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ1
Enter the decimal represented by the shaded square.
The shaded square represents
Answer:
56/100 or 14/25 simplified
Adrian are 3 ani, iar tatăl lui are 34 de ani. Peste câți ani Adrian va fi de două ori mai tânăr decât tatăl său?
Answer:
27 years
Step-by-step explanation:
Given that :
Adrian's age = 3
Father's age = 34
In how many years will Adrian be twice as young as his father?
Let the number of years = x
2(3 + x) = 34 + x
6 + 2x = 34 + x
2x - x = 34 - 6
x = 28
Please hurry!! 20 points rewrite in standard form (4,1) and (1,4)
Answer:
x+y=5
Step-by-step explanation:
What is 122/3 as a mixed number?
Answer:
40[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
solve step by step solution then only i can do it plxx
Answer:
Let's understand the concept:-Here angle B is 90°
So [tex]\triangle ABC[/tex] and [tex]\triangle ABD [/tex] Are right angled triangle
So we use Pythagoras thereon for solution
Required Answer:-First in triangle ABCperpendicular=p=8cm
Hypontenuse =h =10cm
We need to find base=bAccording to Pythagoras thereon
[tex]{\boxed{\sf b^2=h^2-p^2}}[/tex]
Substitutethe values[tex]\longrightarrow[/tex][tex]\sf b^2=10^2-p^2[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt {10^2-8^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt{100-64}}[/tex]
[tex]\longrightarrow[/tex][tex]\bf b={\sqrt {36}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b=6[/tex]
[tex]\therefore[/tex][tex]\overline{BC}=6cm[/tex]
BD=BC+CD[tex]\longrightarrow[/tex][tex]BD=9+6[/tex]
[tex]\longrightarrow[/tex][tex]BD=15cm [/tex]
Now in [tex]\triangle ABD [/tex]Perpendicular=p=8cm
Base =b=15cm
We need to find Hypontenuse =AD(x)According to Pythagoras thereon
[tex]{\boxed {\sf h^2=p^2+b^2}}[/tex]
Substitute the values[tex]\longrightarrow[/tex][tex]\sf h^2=8^2+15^2 [/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {8^2+15^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {64+225}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {289}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h=17cm [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf x=17cm}}}[/tex]
What is 2÷18?
A. 116
B. 14
C. 4
D. 16
Answer:
18/2 is 9
Step-by-step explanation:
2*9 is 18
Answer: None of these answers are correct.
Explanation: 2÷18 is 1/9 (one ninth).
What is the answer for this plz?
Match the terms to their definitions.
Answer:
What terms?
Step-by-step explanation:
Help pls. Hurry!!!!
Answer:
65 degrees
Step-by-step explanation:
115*2=230
360-230=130
130/2=65
65 degrees is the answer.
see image help me as fast as possible, please also round as the question asks, please please solve
Answer:
67.7
Step-by-step explanation:
perimeter=15+15+6pi+6pi
=67.7
Estimate the perimeter and the area of the shaded figure to the nearest tenth.
The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.
Area and perimeter-based problem:What information do we have?
Radius of semi-circle = 8 / 2 = 4 unit
Length of remain Rectangle = 8 unit
Width of remain Rectangle = 2 unit
Perimeter of shaded figure = πr + (l + 2b)
Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]
Perimeter of shaded figure = 12.56 + 4 + 4
Perimeter of shaded figure = 20.56 units
Area of shaded figure = πr²/2 + lb/2
Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2
Area of shaded figure = (3.14)(8) + 8
Area of shaded figure = 25.12 + 8
Area of shaded figure = 33.12 unit²
Find out more information about 'Area'.
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HELP ME PLEASEEEEEEEEEEEEEE
Answer:
the attractive force of magnetism
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
8. Gabby bought a backpack and 3 notebooks for $40.66. What is the total tax if the rate is 8%?
Answer:
Tax is 9.76 total cost is 131.74
Step-by-step explanation:
40.66 x 3= 121.98
121.98 x .08= 9.76
121.98+9.76= 131.74
Answer:
Step-by-step explanation:
f(x) = 11x4-9x3 + x2 - x + 1
Answer:
x=
2
f
2
−8f+4
−
2
f
+1
x=−
2
f
2
−8f+4
−
2
f
+1, (f
=0 and f≤4−2
3
) or f≥2
3
+4
Step-by-step explanation:
im srry if this is wrong
When Adding integers, how many RULES are there?
A. 0 Rules
B. 1 Rule
C. 2 Rules
D. 3 Rules
Answer: 4 Rules
Step-by-step explanation:
To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Answer:
I belive its c
Step-by-step explanation:
there are two rules for adding integers
Question 11 (5 points)
Solve 5x + 4y = 9 for y.
Answer:
y= (9-5x)/4
Step-by-step explanation:
5x+4y=9
-5x -5x
4y=9-5x
/4 /4
y= (9-5x)/4
Mrs. Davis' gym class has 24 girls and 18 boys. She wants to separate the class into stations Each station must have the same numbers of girls and boys.
What is the greatest number of stations Mrs. Davis can make it every student has to participate in a station?
A.2 stations
B.3 stations
C.6 stations
D.7 stations
Answer:
6 stations
Step-by-step explanation:
24=1,2,3,4,6,8,12,24
18=1,2,3,6,9,18
Now we have to find which numbers are the same but that are the largest.
so It would be 6.
So Mrs.Davis can have every student participate in 6 stations.
Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?
(a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so, estimate it.
(b) Draw a diagram illustrating the general situation. Let x denote the length of each of two sides and three dividers. Let y denote the length of the other two sides.
(c) Write an expression for the total area A in terms of both x and y.
A =
(d) Use the given information to write an equation that relates the variables.
(e) Use part (d) to write the total area as a function of one variable.
A(x) =
(f) Finish solving the problem by finding the largest area. ft2
Answer:
Step-by-step explanation:
(a)
Suppose we came up with an ideology whereby we pick a value for the length including the length dividing the inside into 4 parts(5 parallel sides), then we can get the value for breath by using the following process.
Let assume the length of the rectangle is 50;
Then, the breath can be calculated as follows:
= 50 × 5 = 250 ( since the breath is divided into 5 parallel sides)
The fencing is said to be 950 ft
So, 950 - 250 = 700
Then divided by 2, we get:
= 700/2
= 350
So for the first diagram; the length = 50 and the breath = 350
The area = 50 × 350 = 17500 ft²
Now, let's go up a little bit.
If the length increase to 100;
Then 100 × 5 = 500
⇒ 950 - 500 = 450
⇒ 450/2 = 225
The area = 225 × 100 = 22500 ft²
Suppose the length increases to 150
Then 150 × 5 = 750
⇒ 950 - 750 = 200
⇒ 200/2 = 100
The area = 150 × 100 = 15000 ft²
The diagrams for each of the outline above can be seen in the image attached below.
(b) The diagram illustrating the general solution can be seen in the second image provided below.
(c) The expression for the total area A in terms of both x and y is:
Area A = x×y
(d) Recall that:
The fencing is said to be 950 ft.
And the length is divided inside into 5 parallel sides;
Then:
5x + 2y = 950 (from the illustration in the second image below)
2y = 950 - 5x
[tex]y = \dfrac{950}{2} - \dfrac{5}{2}x[/tex]
[tex]y = 475- \dfrac{5}{2}x[/tex]
(e)
From (c); replace the value of y in (d) into (c)
Then:
Area A = x×y
[tex]f(x)= x\times ( 475 -\dfrac{5}{2}x)[/tex]
Open brackets
[tex]f(x)= ( 475 x-\dfrac{5}{2}x^2)[/tex]
(f)
By differentiating what we have in (e)
[tex]f(x)= ( 475 x-\dfrac{5}{2}x^2)[/tex]
[tex]f'(x)= ( 475 (1)-\dfrac{5}{2}(2x))[/tex]
[tex]f'(x)= 475 -5x[/tex]
[tex]\implies 475 = 5x[/tex]
x = 475/5
x = 95
From (d):
[tex]y = 475- \dfrac{5}{2}x[/tex]
[tex]y = 475- \dfrac{5}{2}(95)[/tex]
[tex]y =237.5[/tex]
∴
Area A = x × y
Area A = 95 × 237.5
Area A = 22562.5 ft²
Solve for X
G
(27x + 2
10x + 5
118°
H
Answer:
118
Step-by-step explanation:
27x+2=118[being alternate angles ]
27x=116
x=4.29
one angle =27×4.29+2
117.83
118
10x+5+118=180[sum of angles of triangle is 180]
10x+5+118=180
X=62
Quick is this right??? Answer and question in pic
Answer:
-199
Step-by-step explanation:
put -6 in place of x in equationAnswer:
The answer is -199
Step-by-step explanation:
f(-6)= -8(-6)^2-5(-6)+59 =-199
Find the slope of each graph. Express the answer in simplest form. Please show graph
Answer:
Step-by-step explanation:
slope is -3/2. rise/run. There's already a graph there so I'm assuming no need to show one
Answer:
slope: -3/2
y intercept: -1
equation: y = -3/2x-1
Which division problem does the diagram below best illustrate?
A.16÷4=4
B.32÷4=8
C.36÷4=9
D.8÷2=4
Answer:
i think B if not sorry
Step-by-step explanation:
The circus has several large circular tents. The floor of each tent has a circumference of 188.4 feet. The radius of the floor is and the area of the floor is?
Answer:
radius : 29.99 feet
Area : 2824.57 square feet
Step-by-step explanation:
3/4 of an inch rain fell in 1/2 hour
Dana’s dozen muffins Banana nut muffins to chocolate chip muffins.
6 chocolate chip 3 bran 2 banana nut 1 blueberry
Answer:
2:6
Step-by-step explanation:
2 banana nut, to, 6 chocolate chip
NOEN
Hailey bought a 9 ft piece of ribbon that she will out into 2/3 ft long pieces. How many 2/3 ft pieces con Hailey aut?
Answer:
13
Step-by-step explanation:
9/(2/3) = 27/2 = 13.5
