Answer:
Step-by-step explanation:
take angle x as reference angle
using sin rule
sin x=opposite/hypotenuse
sin x=11/13
sin x=0.846
x=sin 57.8
x=57.8 degree
An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.
Answer:
7.5 m
Step-by-step explanation:
circumference = 360/72 × 3π = 15π
so the radius of the circle =
15π / 2π = 7.5 m
There is a positive correlation between number of TVs owned by a person, x, and the average life expectancy, y. What conclusion is TRUE?
Answer:
c
Step-by-step explanation:
i think this is right
What is the first step you will use to solve this equation:
4x +2 = 7x - 13
A.Subtract 13 from both sides
B.Add 7x to both sides
C.Add 2 to both sides
D.Subtract 4x from both sides
Answer:
E.? subtract 2 on both sides
Step-by-step explanation:
the wording (to me) is mixed up for a and c
sry if its not correct
5ft and 12ft What is the length of the hypotenuse? feet
Answer:
The answer is 13 feet.
Step-by-step explanation:
Assuming that the lengths 5ft and 12ft are the legs of the triangle, use the Pythagorean Theorem to find the unknown length of the hypotenuse:
a^2 + b^2 = c^2
Now, simply plug in the values of the triangle legs:
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
c = 13
Answer:
13 ft
Step-by-step explanation:
The formula to find the length of the hypotenuse is:
[tex]a^2+b^2=c^2[/tex]
---------------------------------------------------------------------------------------------------------------
So:
25 + 144 = 13
Have a good day :)
calculate the area of the kitchen if the outer wall with the window is 10 feet, the depth (height) of the kitchen is 7 feet, and the dotted line that connects to two walls is 8 feet.
Answer:
80 Ft²
Step-by-step explanation:
Area= length x width
length= 10 feet
width= 8 feet
A= 10 × 8
A= 80 Ft²
squared because it's feet multiplied by feet
Ft × Ft= Ft²
I need help. Please someone help. .......................................................................................................
Answer:
boi its 202 -1
Step-by-step explanation:
eiroiwzjsirgjzßπkgjπøˆß
complete the remainder of the rule table for the given function rule:
y = -2x - 7
x: -6, -3, 0, 3, 6
y: 5, _, _, _, _
Answer:
x=-6
y=-2(-6)-7
y=5
x=-3
y=-2(-3)-7
y=6-7=-1
y=-1
x=0
y=-2(0)-7
y=-7
x=3
y=-2(3)-7
y=-6-7=-13
x=6
y=-2(6)-7
y=-12-7
y=-19
A functional rule is the relationship between an input or domain and an output or scope.
The given function is as follows:
x: -6, -3, 0, 3, 6
y: 5, -1, -7, -13, -19
What is meant by function rule?A functional rule is the relationship between an input or domain and an output or scope. A relation is a function only if it has a value within each domain value. Functions are written like where is the input value. The general form of the function is:
A vertical test is run graphically to determine if the relationship is a function.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable). Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.
Let the given function be y = -2x - 7.
Where, x = -6
substitute the values in the above equation, we get
⇒ y = -2(-6) - 7
⇒ y = 5
Let the value of x = -3
substitute the values in the above equation, we get
⇒ y = -2(-3) - 7
⇒ y = -1
Put, x = 0
substitute the values in the above equation, we get
⇒ y = -2(0) - 7
⇒ y = -7
Put, x = 3
substitute the values in the above equation, we get
⇒ y = -2(3) - 7
⇒ y = -6 - 7 = -13
Put, x = 6
substitute the values in the above equation, we get
⇒ y = -2(6) - 7
⇒ y = -19
The given function is as follows:
x: -6, -3, 0, 3, 6
y: 5, -1, -7, -13, -19
To learn more about Functions, refer to:
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what's the value of x and y?
Answer:
x = 45 and y = 90
Step-by-step explanation:
Let the third angle be z
z = 180 - 135 (Linear Pair)
z = 45
Since its an iscosceles triangle,
<z = <x (angles opposite to equal sides have equal angles)
<x = 45 degree
<z + <x + <y = 180
45 + 45+ <y = 180
90 + <y = 180
<y = 180 - 90
<y = 90
Therefore x = 45 and y = 90
Hope u understood please mark as brainliest
Thank You
Answer:
x= 45°
y= 90°
Step-by-step explanation:
x= angles on a straight line add up to 180°. 180°-135° = x.
y= x+y=135° & x =45°
135°- 45° = y
Find an explicit rule for the nth term of the sequence.
-2, -8, -32, -128
Answer:
[tex]a_{n}[/tex] = - 2 [tex](4)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
r = - 8 ÷ - 2 = - 32 ÷ - 8 = - 128 ÷ - 32 = 4
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = 4 , then explicit formula is
[tex]a_{n}[/tex] = - 2 [tex](4)^{n-1}[/tex]
-4(7.5x-8)=-5(6.3x+8)
Answer:
x = -48
Step-by-step explanation:
-4(7.5x - 8) = -5(6.3x + 8)
-30x + 32 = -31.5x - 40
-30x + 31.5x = -40 - 32
1.5x = -72
x = -72/(1.5)
x = -48
I NEED THIS ASAP
Solve for X
Answer:
x^2 = 10
x = square root symbol with 10 underneath
Or x = 3.16227 (round to appropriate place)
—————
x^3 = 316
x = cubed root symbol with 316 underneath
or x = 6.81128 (round to appropriate place)
I answered them two different ways, because sometimes your teacher wants you to leave it under the square root or cube root symbol, when it can’t be solved to an exact integer.
3. What should be done to the following equation to get the variable on the left side only?
-3x + 6 = x - 4
a. Add 3x to both sides.
b. Add x to both sides.
C. Subtract 3x from both sides.
d. Subtract x from both sides.
e. Either a or b.
. Either cord.
Answer:
d. Subtract x from both sides.
what is eight less than a number as an algebraic expression
Answer: n-8
Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.
I hope this helps, have a nice day.
Photos-To-Go printed 2,102 copies of a brochure for a travel agency. The brochure included 5 photos of popular vacation destinations. How many times will all 5 photos appear in all of the printed brochures? How do you know your answer is reasonable?
Answer:
All 5 photos will appear once in all the printed brochures
Step-by-step explanation:
Given
[tex]Copies = 2102[/tex]
[tex]Photos =5[/tex]
Required
The number of times the photo will appear
The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.
From the question, we understand that the photos will appear once in a copy.
By extension, the 5 photos will appear once in other copies.
If a position on the ocean floor is 12 kilometers below the sea level, which value describes the elevation of the ocean floor
Answer:
- 12
Step-by-step explanation:
The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)
5. Evaluate the following expression when a = -4
and b = 1/2.
b|3a – 81 – 3/2 – 2a
a) -40
c) 20
b) -20
d) -10
Answer:
Step-by-step explanation:
Given the expression
b|3a – 81 – 3/2 – 2a
If a = -4, b = 1/2
Substitute
(1/2)/3(-4) - 81 - 3/2 - 2(-4)
1/2 * 1/-12 - 81 - 3/2 + 8
= -1/24 - 81 + 8 - 3/2
= -1/24 - 3/2 - 73
= -1-36-1,752/24
= -1,789/24
= -74.5
Choose the correct correspondence.
B
U
8.
1
2
3
4
5
C
R
S
45
27
0 28
O 26
Answer: [tex]\angle 6[/tex]
Step-by-step explanation:
Assuming TURS is a rectangle, [tex]\angle 5 \cong \angle 6[/tex] by the alternate interior angles theorem.
Identify the equation of the circle X that passes through (-3, -5) and has center (4, -7).
( x - 4 )^2 + ( y + 7 )^2 = 53
...................................................
What is the solution to the system of equations below?
2 x + y = 7 3 x + 2 y = 16
Answer:
2x+y=7; 3x+2y=16
X = -2
Y = 11
express the following as indicated. (1) 5 cm (in and km)
Answer:
Convert in to cm and km to cm:
1 in = 2.54 cm ⇒ 1 cm = 1/2.54 in ⇒ 5 cm = 5/2.54 in ≈ 1.9685 in1 km = 100000 cm ⇒ 1 cm = 0.00001 km ⇒ 5 cm = 0.00005 km1cm=0.4in
5cm
5(0.4)2in(Approx)Exactly one cm is 3.39 .. in so answer will come around 1.96 which is almost 2
#2
1cm=0.00001km
5cm
0.00005km(50 points) Subtract. (−8.3x+4)−(3.2x−5) Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)
Answer:
(−8.3x+4)−(3.2x−5)
(−8.3x+4)−3.2x+5
−8.3x+4−3.2x+5
-11.5x+9
Step-by-step explanation:
find the slope of the line which passes through (-2, -2) and (2, -4)
HELP ME PLS
Answer:
-1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-4 - (-2) / 2 - (-2)
-2 / 4
= -1/2
12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30
inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)
Answer:
54061 in³
Step-by-step explanation:
Using proportion
Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid
30/36 = x/64873
Cross Mulitiply
36 × x = 64873 × 30
x = 64873 × 30/36
x = 54060.833333 in³
Approximately = 54061 in³
Therefore, the volume of the smaller pyramid is 54061 in³
P=−4b 2 +6b−9
Q=7b 2 −2b−5
P−Q=
Your answer should be a polynomial in standard form.
Answer:
−11b^2+8b−4
Step-by-step explanation:
−4b2+6b−9−7b2+2b+5
Simplify by adding terms.
11b2+8b−4
what is the question of 1.892 x 10^8 and 4.3 x 10^3 expressed in a scientific notation
____ x 10^—
PLS ANSWER ASAP
Diedra rolls an unbalanced die 72 times and gets a "6" 21 times. If she rolls the die 15 more times, which of these is the most reasonable prediction of the number of times she will not roll a "6"?
By using the relative frequency, we can expect to not roll a "6" in 11 rolls.
How many times can we expect to not roll a "6"?
We know that in a total of 72 rolls, the outcome is "6" 21 times.
Then the relative frequency is:
F = 21/72 = 0.292
Then we can expect that in N rolls, we will get (0.292)*N times a "6".
So the number of times that we will not get a 6, is:
(1 - 0.292)*N
In this case is N = 15, then we get:
(1 - 0.292)*15 = 10.62
Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.
If you want to learn more about relative frequency:
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hey! please help i’ll give brainliest
Answer:
I think A is the answer
hope this helps
have a good day :)
Step-by-step explanation:
hey what's the answer
thanks.
Step-by-step explanation:
if b+c=0
b=-c
x^b=x^-c
so
1/[2(x^b)+1]
Log5(36)-Log5(9)
-
-
-
Condense following logarithms.
Given:
The expression is:
[tex]\log_5(36)-\log_5(9)[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\log_5(36)-\log_5(9)[/tex]
It can be written as:
[tex]\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}[/tex] [tex][\because \log_m\dfrac{a}{b}=\log_ma-\log_m b][/tex]
[tex]\log_5(36)-\log_5(9)=\log_54[/tex]
Therefore, the simplified form of the given expression is [tex]\log_54[/tex].
whats the correct equation to solve for x
Answer:
12x - 29 + 4x + 1 = 180
Step-by-step explanation:
(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then
12x - 29 + 4x + 1 = 180 ← is the equation to solve for x
16x - 28 = 180 ( add 28 to both sides )
16x = 208 ( divide both sides by 16 )
x = 13