Answer:
25.95 + 36
Step-by-step explanation:
You don't have any options so the answer I would say is 25.95 + 36, or the other way around.
Hope this helped :]
Find ALL the missing sides and angles of this triangle.
12
40°
A
B
90°
60°
50°
:: 40*
20°
#: 5.3
12
:: 6.4
#: 7.7
:: 9.2
#: 3.6
#: 8.5
Answer:
Step-by-step explanation:
sin40°=[tex]\frac{AC}{12}[/tex]
⇒AC=sin40°×12
⇒AC=7.713≈7.7
cos40°=[tex]\frac{AB}{12}[/tex]
⇒AB=cos40°×12
⇒AB=9.192≈9.2
as A=90°,B=40°
from A+B+C=180°
we can write C=180°-90°-40°
⇒C=50°
What is 3x?
I’m confused because I know x is the variable. So let’s say x=30. Do I multiply it like 3 • 30 = 90?
3x=90
Answer: 3 · 30= 90
Step-by-step explanation:
yes you are correct
PLS HELP ME!!!
COSINE RULE I THINK!!
please explain in some detail and will mark brainliest
Answer:
Step-by-step explanation:
if there is any triangle ABC and a,b,c are sides opposite angles A,B,C respectively , then
[tex]cos~A=\frac{b^2+c^2-a^2}{2bc} \\cos~B=\frac{c^2+a^2-b^2}{2ca} \\cos~C=\frac{a^2+b^2-c^2}{2ab}[/tex]
B=101
a= 3 cm
b=y
c=1 cm
use formula for cos B
cos 101=cos(90+11)=sin 11
[tex]-sin~11=\frac{1^2+3^2-y^2}{2 \times 3 \times 1} \\-6 \times sin~11=1+9-y^2\\y^2=10+6~sin~11\\y^2\approx 10+6\times 0.1908\\y^2 \approx11.1448\\y\approx3.338[/tex]
Answer:
2.16
Step-by-step explanation:
To find the length y:
Since we have an angle with two sides next to it, it is 'cosy', so we can use the cosine rule to find y. Let's make y = a for the formula.
Using the cosine formula:
a^2 = b^2 + c^2 - 2bc cos(A)
where b=1, c=3 and A=101
substitute these values in the formula:
a ^2 = 1^2 + 3^2 - 2(1)(3) × cos(101)
a ^2 = 4.647970...
Square root to find a:
a = √4.647970...
a = 2.16
thus, y = 2.16 to 3sf
please tell me how to solve!!
the equation in the form of slope interpretation is y = 1/3x -4.
What is a Linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation has the conventional form y = mx + c.
Given data in a table such as it makes a linear equation slope-intercept form of the given equation is y = mx +c
Where m is the slope
c is constant
The slope for the given data
m = (y₂ - y₁) / (x₂ - x₁)
m = (-5 + 6 )/ (-3 + 6)
m = 1/3
Hence, the equation would be
y = 1/3x + c
for constant we would satisfy the equation with other coordinates of the line.
Substituting ( 0, -4) in the above equation
-4 = 0 + c
c = -4
thus, the equation of the line is y = 1/3x -4
therefore, the linear equation of the given data is y = 1/3x -4.
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Find the length of the missing side. It’s a written response
Answer:
the missing side is [tex]\sqrt{89}[/tex]
Step-by-step explanation:
We use Pythagoras theorem
[tex]8^{2} +5^{2} =x^{2} \\64 + 25 = x^{2} \\89=x^{2} \\\sqrt{89} =x[/tex]
the area of a circle is 154cm, calculate it's radius?
Answer:
r = 7
Step-by-step explanation:
area equals (pi)(r)^2
first divide 154 by pi
154/pi = 49
r^2 = 49
square root both sides
r = 7
Any help pls. Question is : Find the equation of line B, which is perpendicular toy-2x=-8(x-8)and passes through the point (6,-6). Find the midpoint of the line segment AB in the following figure
Answer:
Perpendicular line ⇒ 2x + 9y + 42 = 0
midpoint: (-1,1)
Step-by-step explanation:
Let's find the coordinates of midpoint of AB
Here, from figure, A = (-3,-2), B = (1,4)
So midpoint:
[tex]P = (\frac{-3+1}{2},\frac{-2+4}{2})[/tex]
∴ P = (-1, 1)
Now, given straight line is x - 2y = -8(x-8)
⇒x - 2y = -8x+64
⇒9x - 2y - 64 = 0
Perpendicular line to 9x - 2y - 64 = 0 is 2x + 9y + k = 0
Perpendicular line passes though (6,-6)
Putting the values, we get
2(6) + 9(-6) + k = 0
⇒12 - 54 + k = 0
⇒k = 42
∴ Perpendicular line ⇒ 2x + 9y + 42 = 0
6+3(13 – 2) - 52
Help me
Answer:
the answer is 14
Step-by-step explanation:
5 Find 6 in Surface Area
Answer:
8 x 6 = 48
48 divided by 2 = 24
24 x 2 = 48
10 x 12 = 120
120 x 2 = 240
8 x 12 = 96
Add all given areas:
48 + 96 + 240 = 384 in2 is your answer.
Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement
nets is true?
Three-dimensional Figure
Answer:
d
Step-by-step explanation:
Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x - 6
The equation of line that passes through (-3,3) and is perpendicular to 2y = 8x - 6 is y = (-1/4)x + 9/4.
What is the equation of line that passes through (-3,3) and is perpendicular to 2y = 8x - 6?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the original line.
Write in slope intercept form
2y = 8x - 6
y = 8x/2 - 6/2
y = 4x - 3
Using the slope intercept, slope m is 3.
The equation of a perpendicular line to 2y = 8x - 6 must have a slope that is the negative reciprocal of the original slope.
Slope of perpendicular line = -1 / ( 4 )
Slope of perpendicular line = -1/4
Plug the slope m = -1/4 and point (-3,3) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - 3 ) = (-1/4)( x - (-3) )
( y - 3 ) = (-1/4)( x + 3 )
y - 3 = (-1/4)x - 3/4
y = (-1/4)x - 3/4 + 3
y = (-1/4)x + 9/4
Therefore, the equation of the perpendicular line is y = (-1/4)x + 9/4.
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A quadratic function and an exponential function are graphed below. Which graph most likely represents the quadratic function? (5 points)
graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37
f(x), because an increasing exponential function will eventually exceed an increasing quadratic function
g(x), because an increasing quadratic function will eventually exceed an increasing exponential function
g(x), because an increasing exponential function will always exceed an increasing quadratic function until their graphs intersect
f(x), because an increasing quadratic function will always exceed an increasing exponential function until their graphs intersect
Answer:
It's A
Step-by-step explanation:
I just did the test and it is A
The dimensions of a picture frame can be represented as (x+4) inches and (x+3) inches. The value of the area, in square inches, of the picture frame is equal to the value of the perimeter, in inches
The wrist circumference in relation to height tells us how big our body frames are.
How is frame size calculated?The wrist circumference in relation to height tells us how big our body frames are. A man who is above 5' 5" tall and with a wrist measurement of 6" would be considered to have tiny bones.
The following chart can be used to establish whether a person has tiny, medium, or large bones by measuring their wrist with a measuring tape and comparing the results.
Women:
under 5'2" in height"
Medium wrist size is between5.5" and5.75" Small wrist size is less than5.5" "
Large is defined as a wrist size of 5.75 or greater."
between 5'2" and 5'5" tall
smaller than 6 inches around the wrist"
Bracelet size 6 is medium "Medium = wrist size between 6.25" and 6.5" Large
Over 5' 5" in height"
Small wrists measure less than 6.25", Medium wrists measure 6.25" to 6.5," and Large wrists measure over 6.5."
Example :
2(x + 3 ) + 2 (x + 4 ) = (x + 3 )( x + 4)
x² + 7x + 12 = 4x + 14
x² + 3x - 2 = 0
(x + 3 / 2 )² = 17 / 4.
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Geometry need help asap
On solving the provided question, we can say that - here in quadrilateral we have x + 146 + 47 + y = 360 => [tex]x= 83.5[/tex]
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here,
x + 146 + 47 + y = 360
2x + 193 = 360
2x = 167
[tex]x= 83.5[/tex]
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please answer the following question, AND NO LINKS OR YOU WILL GET REPORTED.
Answer:
Mode
Step-by-step explanation:
I believe mode because 8 is the number that appears most often in this set of numbers.
note: Mode is the number that appears most often in any set of numbers.
Part 5: Identify key features and graph a hyperbola from general form.
Answer the following questions to determine the key features of the hyperbola based on the equation
shown, and then graph it.
4x^2 + 8x – 9y^2 – 36y – 68 = 0
a) Write the standard equation of the hyperbola. (3 points)
b) What is the center of the hyperbola? (1 point)
c) What are the foci of the hyperbola? (2 points)
d) What are the asymptotes of the hyperbola? (2 points)
e) Sketch a graph of the hyperbola and label the center, foci, guiding box, and asymptotes. (4 points)
a) [tex]\frac{(x+1)^{2}}{3^{2}}-\frac{(y+2)^{2}}{2^{2}} = 1[/tex].
b) (h, k) = (-1, -2).
c) F₁ (x, y) = (-1 - √13, -2), F₂ (x, y) = (-1 + √13, -2).
d) y = ±2 · (x + 1) / 3 - 2.
e) See the image attached below.
How to analyze a hiperbolaIn this question we must analyze the general equation of a hyperbola and derive all the required information by algebraic and graphic means. All this information is derived from the standard equation of the hyperbola, which is presented below:
[tex]\frac{(x-h)^{2}}{a^{2}}-\frac{(y-k)^{2}}{b^{2}} = 1[/tex] (1)
Where:
a - Horizontal axis distanceb - Vertical axis distance h, k - Coordinates of the center of the hyperbola.The foci are located at the following two points: [tex]F_{1} (x, y) = (h - c, k)[/tex], [tex]F_{2} (x,y) = (h + c, k)[/tex].
Where [tex]c = \sqrt{a^{2}+b^{2}}[/tex].
And the asymptotes of the hyperbola are described by the following formulas:
y₁ = b · (x - h) / a + k (2)
y₂ = - b · (x - h) / a + k (3)
a) We transform the general equation into its standard form:
4 · x² + 8 · x - 9 · y² - 36 · y - 68 = 0 Given(2 · x)² + 4 · (2 · x) - (3 · y)² - 12 · (3 · y) - 68 = 0 Definition of power/Associative and commutative properties/Definition of multiplication[(2 · x)²+ 2 · 2 · (2 · x) + 4] - [(3 · y)² + 2 · 6 · (3 · y) + 36] + 36 - 68 - 4 = 0 Compatiblity with addition/Definition of multiplication/Commutative and associative properties/(-1) · a = - a(2 · x + 2)² - (3 · y + 6)² - 36 = 0 Perfect square trinomial/Definition of addition4 · (x + 1)² - 9 · (y + 2)² = 36 Compatibility with addition/Existence of additive inverse/Modulative property[tex]\frac{(x+1)^{2}}{3^{2}}-\frac{(y+2)^{2}}{2^{2}} = 1[/tex] Definition of power/Compatibility with multiplication/Existence of multiplicative inverse/ResultThe standard equation of the hiperbola is [tex]\frac{(x+1)^{2}}{3^{2}}-\frac{(y+2)^{2}}{2^{2}} = 1[/tex]. [tex]\blacksquare[/tex]
b) From the result found in a) we conclude that the center of the hyperbola is (h, k) = (-1, -2).
c) The foci of the hyperbola are located at the following two points:
[tex]c = \sqrt{3^{2}+2^{2}}[/tex]
[tex]c = \sqrt{13}[/tex]
F₁ (x, y) = (-1 - √13, -2), F₂ (x, y) = (-1 + √13, -2)
The foci of the hyperbola are F₁ (x, y) = (-1 - √13, -2) and F₂ (x, y) = (-1 + √13, -2). [tex]\blacksquare[/tex]
d) And the asymptotes of the hyperbola are presented below:
y₁ = 2 · x / 3 (2)
y₂ = - 2 · x / 3 (3)
The asymptotes of the hyperbola are y₁ = 2 · (x + 1) / 3 - 2 and y₂ = - 2 · (x + 1) / 3 - 2. [tex]\blacksquare[/tex]
e) The graph of the hyperbola and all its characteristics are presented by means of graphing tool. The result is presented in the image attached below.
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Answer:
The equation of the hyperbola = (x + 1)^2/3^2 - (y + 2)^2/2^2 = 1
The center of the hyperbola = (-1, -2) (h, k)
The vertices of the hyperbola (my assingment asked me for vertices) = (2, -2) and (-4, 2)
The asymptotes = one at y = (2x+2/3) - 2 and the other is at
y = -((2x+2/3) -2)).
Step-by-step explanation:
For the graphing part plug the equation into desm0s and the asymptote equation. For the guiding box part, you use the B variable. Since b = 2 in this problem, you count up two spaces from the center (-1,-2) and then down two spaces. These will be the top and bottom of your guiding box. Then use your vertices as the sides and make a box that connects.
Good luck!
Rewrite without parentheses and simplify.
(V+2)^2
Answer:
V^2 + 4V + 4
Step-by-step explanation:
Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car’s rate is 10 kilometers per hour less than the others. If they meet in 2 hours what is the rate of the slower car
9514 1404 393
Answer:
85 km/h
Step-by-step explanation:
Let s represent the speed of the slower car. Then the travel time is ...
time = distance/speed
2 = 360/(s +(s+10))
4s +20 = 360 . . . . . multiply by 2s+10
4s = 340 . . . . . . . . . subtract 20
s = 85 . . . . . . . . . . . divide by 4
__
The rate of the slower car is 85 km/h.
Solve the inequality -5<5y<15
Answer:
−1 < y < 3
Step-by-step explanation:
How many fourths are equivalent to 2\8
Answer:
1/4
Step-by-step explanation:
8/8=1
6/8=3/4
4/8=2/4
2/8=1/4
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Answer:
6.7 km
Step-by-step explanation:
c² = 4.9²+4.5²
= 24.01 + 20.25
= 44.26
c = √44.26 = 6.7
Please help giving brainliest
Answer:
look at the picture I sent
2x +3=5 so what is the value of x
Answer:
x = 1
Step-by-step explanation:
2x + 3 = 5
=> 2x = 5-3
=> 2x = 2
=> x = 2/2
=> x = 1
Therefore, the value of x is 1
Hope it helps :)
Answer:
x=1
Step-by-step explanation:
Hi there!
2x+3=5
Our goal is to isolate x on one side of the equal sign, and we can do this using inverse operations. For example, the inverse operation of addition is subtraction. Subtract both sides of the equation by 3 to isolate 2x:
2x+3-3=5-3
2x=2
The inverse of multiplication is division. Divide both sides by 2:
2x÷2=2÷2
x=1
I hope this helps!
Find the length of side xx in simplest radical form with a rational denominator. 3
The length of x is 6 in simplest radical form.
What is a right-angled triangle?'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'
According to the given ,
Perpendicular = 3
Hypotenuse = x
We know,
sin∅ = 3/x
∅ = 30°
⇒ sin30 = 3/x
⇒ 1/2 = 3/x [ sin30 = /2 ]
⇒ x = 3 * 2
⇒ x= 6
Hypotenuse = 6
Applying Pythagoras theorem:
Hypotenuse² = Perpendicular² + Base²
6² = 3² + Base²
6² - 3² = Base²
Base² = 25
Base = √25
Base = 5
We can conclude the value of x to be 6.
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Nico is trying to divide a 6 by 4 inches of rectangular cartoon sheet into pieces of squares. Given that he used up all of the materials and that all squares are of similar dimensions, what is the minimum number of squares he can produce?
Answer:
Minimum of 6 squares.
Step-by-step explanation:
The dimension of the rectangular carton = 6 by 4 inches.
The area of the carton = length x width
= 6 x 4
= 24 square inches
Assume that we have a square of side length 2 inches, then;
area of the square = length x length
= 2 x 2
= 4 square inches
So that since all materials is to be used,
the minimum number of squares that it can produce = [tex]\frac{24}{4}[/tex]
= 6
The minimum number of squares he can produce is 6.
What is a rectangle?
A rectangle is a 2-dimensional quadrilateral with four right angles that add up to 360 degrees. It has two diagonals which bisect each other. The diagonals are equal in length
Area of a rectangle = length x width
6 x 4 = 24 square inches.
What is a square?
A square is a quadrilateral that has four sides of equal lengths.
Possible areas of the square = 1 inches square, 4 inches square, 9 inches square, 16 inches square.
Minimum number of square = 24 / 4 = 6 squares
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The length of a rectangle is four times its width. If the area of the rectangle is 196 yd², finds its perimeter.
Answer:
perimeter = 70 yards
Step-by-step explanation:
⭐What is the area of a rectangle?
area = length * width⭐What is the perimeter of a rectangle?
perimeter = 2(length) + 2(width)Strategy1. Make the equation for the area of the given rectangle and solve for x
2. Substitute x into the expressions of the length and width and solve for the perimeter
Working1. Define the expressions of the length and width of the rectangle
width: x
length: 4x
2. Make the equation for the area of the rectangle
[tex]196yd^2 = 4x * x\\196yd^2 = 4x^2[/tex]
3. Solve for x
[tex]\frac{196}{4} = x^2[/tex] . . . . . . . . . . divide both sides by 4
[tex]49 = x^2[/tex]
[tex]\sqrt{49} = \sqrt{x^2}[/tex] . . . . . . . . square root both sides to isolate x
∴ [tex]7 = x[/tex]
4. Substitute x into the expressions of the length and the width
width: x
width = 7
height: 4x
height = 4(7) = 28
5. Solve for the perimeter
[tex]perimeter = 2(length) + 2(width)[/tex]
[tex]perimeter = 2(28) + 2(7)\\perimeter = 56 + 14\\perimeter = 70[/tex]
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Help with both questions (8 and 9) please.
No link answers thx
Step-by-step explanation:
8.
Let the number is x. A number minus 7 is (x-7). It is doubled to get 86. So,
[tex](x-7)^2=86\\\\x-7=\sqrt{86}\\\\x-7=\pm 9.27\\\\x-7=9.27\ and\ x-7=-9.27\\\\x=16.27\ or\ x=-2.27[/tex]
The number can be 16.27 or -2.27.
9.
The diameter of the cylindrical tank, d = 20 ft
Radius, r = 10 ft
It is filled with oil to a depth of h feet.
The volume of a cylindrical shaped object is given by :
[tex]V=\pi r^2 h[/tex]
Put the given values,
[tex]V=\pi (10)^2h\\\\V=3.14\times 100\times h\\\\V=314h\ ft^3[/tex]
So, the volume of the tank is equal to [tex]314h\ ft^3[/tex].
Determine whether the function is periodic. If it is, find the period.
3.
(1 point)
y
-2:
2
periodic: about 3
not periodic
periodic; about 2
periodic; about 12
9514 1404 393
Answer:
not periodic
Step-by-step explanation:
There is no value p such that f(x) = f(x+p) for all x. Hence. the function is NOT PERIODIC.
_____
It seems possible that subtracting the linear increase would result in a periodic function. Because of the linear increase, there is no left- or right-shift of the function that will map it to itself.
please answer in full process
questions
Given L || M find the value of unknown angles in each of the following figures
Answer:
Angle x = 120 degrees
Angle y = 60 degrees
Step-by-step explanation: Angle x has to be equivalent to the 120 degree angle that is already given since lines l and m are parallel as well as lines p and q. To find angle y, you must realize that angles x and y are supplementary angles, so their sum is 180 degrees. Since we now know that angle x is 120 degrees, you must subtract 120 from 180 in order to find the value of angle y: 180 - 120 = 60 degrees. I'm sure that there are other methods to figuring this question out, but this is how I did it.