Answer:
x = 58.03°
Step-by-step explanation:
Given:
17 cm is the length of the hypotenuse9 cm is the length of the adjacent sideSolve for x:
cos x = adjacent / hypotenusex = \(cos^{-1}(\frac{adjacent}{hypotenuse})\)1. \(x=cos^{-1}(\frac{9}{17})=58.03\)
Answer:
So, the measure of angle x is equal to 58.03.
Evaluate 12 sin 85° correct to two decimal places.
Answer:
12 x sin(85)
12x 0.99619
155.40
Solution:
12 x sin (85) = 11.95 (Since sin85 is 0.996194)
So, the answer is 11.95.
Help with questions 2 and 4 please
A die is rolled then a letter in the word statistics is randomly selected. What is the probability of at least a three, then the letter S?
1/5
1/4
3/20
29/30
========================================================
Work Shown:
A = probability of getting at least a "3" on the die
A = probability of getting either "3", "4", or "5"
A = 3/6
A = 1/2
B = probability of getting the letter "S" from "Statistics"
B = 3/10 since there are 3 "S" letters out of 10 letters total
C = probability of events A and B happening
C = A*B
C = (1/2)*(3/10)
C = (1*3)/(2*10)
C = 3/20
The probability of at least a three, then the letter S will occur will be 9/60.
Probability of an event is the ratio of number of favorable outcomes to
the total number of outcomes. Probability is a measure of how likely an
event is going to happen. Mathematically, we can write that -
P{E} = (favorable outcomes)/(total number of outcomes)
It is given that a die is rolled then a letter in the word statistics is
randomly selected. Now, the probability of at least a three, then the letter
S will be -
P = 3/6 x 3/10
P = 9/60
Therefore, the probability of at least a three, then the letter S will occur will be 9/60.
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If f(x)=x^(2 )+4 then verify (fof^(-1))(x)=(f^(-1) of)(x)=x. (Consider the positive values only)
Answer:
Step-by-step explanation:
If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved
What is a function?A relation is a function if it has only One y-value for each x-value.
Composite functions are when the output of one function is used as the input of another.
If f(x)=x²+4
Then we have to prove f⁻¹of(x)=f⁻¹(f(x)
Let us consider fof⁻¹(x)
f(f⁻¹(x))
x
So (fof⁻¹(x))=x
Now f⁻¹of(x)=f⁻¹(f(x)
=x
Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved
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3. A pound of flour costs $12. How many ounces of flour can be purchased for $3.30?
With a pound of flour costing $12 and considering that there are 16 ounces in a pound, the cost per ounce is $0.75. Thus, for $3.30, you can purchase 4.4 ounces of flour.
To find out how many ounces of flour can be purchased for $3.30, we need to determine the cost of one ounce of flour.
Given that a pound of flour costs $12, we know that there are 16 ounces in a pound (since there are 16 ounces in 1 pound). So, the cost of one ounce of flour can be calculated as:
Cost of one ounce of flour = Cost of one pound of flour / Number of ounces in one pound
Cost of one ounce of flour = $12 / 16 ounces
Cost of one ounce of flour = $0.75
Therefore, the cost of one ounce of flour is $0.75.
To determine how many ounces of flour can be purchased for $3.30, we divide the total amount of money by the cost of one ounce of flour:
Number of ounces of flour = Total money / Cost of one ounce of flour
Number of ounces of flour = $3.30 / $0.75
Number of ounces of flour ≈ 4.4 ounce
Therefore, for $3.30, approximately 4.4 ounces of flour can be purchased.
In summary, with the given cost of $12 for a pound of flour, and knowing that there are 16 ounces in a pound, we find that one ounce of flour costs $0.75. Thus, for $3.30, approximately 4.4 ounces of flour can be purchased.
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25 POINTS PLS HELP SOME1!!
The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;
The transformation are a rotation and a translation
What is a translation transformation?A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.
The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units
The correct option is the second option; The transformation are a rotation and a translation
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i need help lol with this problem pls help pls pls pls
Answer:
Step-by-step explanation:
For this triangle, since the angle is included between 2 given sides, the formula will be:
\(A =\frac{1}{2}ab*ac*sin(angleA)\)
Putting values where they belong:
\(A=\frac{1}{2}(10)(12)sin72\)
Do all that in your calculator (in degree mode, NOT radian!) to get
A = 57.1 square cm
Convert to standard form: 1.12 x 10^4 *
Answer:
11,200
Step-by-step explanation:
1.12 x 10^4
to write in standard, we must move the decimal 4 places right
1.12 > 11.2 > 112.0 > 1120.0 > 11,200
Answer: 11200
Step-by-step explanation:
1.12 * 10^4
= 1.12 * 10000
= 11200
1/2(10x-6)=4x+10 what is the value of x that makes the equation true?
Answer:
x=13
Step-by-step explanation:
What is Nitrogen Fixation??
Answer:
Nitrogen fixation is a process by which molecular nitrogen in the air is converted into ammonia or related nitrogenous compounds in soil. Atmospheric nitrogen is molecular dinitrogen, a relatively nonreactive molecule that is metabolically useless to all but a few microorganisms
Answer:
the chemical processes by which atmospheric nitrogen is assimilated into organic compounds, especially by certain microorganisms as part of the nitrogen cycle
As an estimation we are told £3 is €4. Convert €36 to pounds.
Answer:
€36 = 30.62 pounds sterling
11.) What is the algebraic representation for a translation of 5 units right and 4 units up?
Algebraic representation:
\(\frac{4}{5}\)
Determine whether the graph represents a function.
A, the relation is not a function
in order for something to be a function, x (the input) can't repeat itself more than once
3/4 = 12/y Find the missing value
3/4 = 12/y
3/4 * y = 12
.25 * y = 12
y = 3
Hope this helps! :)
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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What’s the correct answer for this?
Answer:
1) Antonio's statement
2) <A = 123
Step-by-step explanation:
1) Antonio's statement is incorrect. This is because the opposite angles of a quadrilateral add up to 180°. Erin was incorrect because the opposite angles of this quadrilateral are unequal.
2) 2x+7+5x-2 = 180° (opposite angles of quadrilateral)
Now
7x+5 = 180
7x = 175
x = 25
<A = 5x-2
= 5(25)-2
= 125-2
= 123
I need help with this pls ASAP
If mGHJ = 27 and mGHK = 87, what is the measure of mJHK
Answer:
114 degrees
Step-by-step explanation:
From the letters that describe the rays, these two angles are adjacent to each other, and therefore, if the measure of one is 27 degrees and that of the other one is 87 degrees, then the larger angle defined by the two rays (HJ and HK) with common vertex H would be:
m<JHK = 27 degrees+ 87 degrees = 114 degrees
Give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles.
A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:
Corresponding angles: ∠1 ≅ ∠5.
Alternate interior angles: ∠4 ≅ ∠6.
Alternate exterior angles: ∠2 ≅ ∠8
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:
∠1 ≅ ∠5
By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:
∠4 ≅ ∠6
By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:
∠2 ≅ ∠8
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PLS PUT THE CORRECT ANSWER AND SHOW HOW YOU DID IT PLS :(
5-7(9b-3d). D=3 b=9
Answer:
Subsitute (nothing hard)
5-7(9*9-3*3)
Combine
5-7(72)
Distibute left to right
-7*72= -504
5-504
-499
Molly and Arthur are taking their daughter Ginny on a roller coaster ride. For safety, they need to find their total weight before getting into the same car. Molly’s weight is MMM kilograms, Arthur’s weight is AAA kilograms, and Ginny’s weight is GGG kilograms. The expression (M+A)+G(M+A)+Gleft parenthesis, M, plus, A, right parenthesis, plus, G describes their total weight. We can also use the expression A+(G+M)A+(G+M)A, plus, left parenthesis, G, plus, M, right parenthesis to represent the same quantity. Match each amount in the situation with the expression that represents it.
Their total weight before getting into the same car is,
⇒ ( M + A ) + G
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Molly's weight is M kilograms, Arthur's weight is A kilograms, and Ginny's weight is G kilograms.
Hence, Their total weight before getting into the same car is,
⇒ ( M + A ) + G
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-2y + 6 = -12
what is y?
Answer:
y=3
Step-by-step explanation:
-12+6=-6
-6/-2=3
what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
marking brainliest right away!!!!
Answer:
(-3,-1)
Step-by-step explanation:
When you graph it on a graphing paper, you can see that the graph touches it but barely
Show that the angle bisector of an equilateral triangle is perpendicular to the base
To show that the angle bisector of an equilateral triangle is perpendicular to the base, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.
How to prove that the angle bisector is perpendicular to baseAfter getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.
We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.
Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.
Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.
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A thermometer shows a temperature of Negative 20 and three-fourths degrees. A chemist recorded this temperature in her notebook using a decimal. Which number did the chemist write in the notebook?
Negative 21.ModifyingAbove 4 with bar
Negative 21.ModifyingAbove 3 with bar
Negative 20.75
Negative 20.34
Answer:
The answer is C.
Step-by-step explanation:
3/4 is equal to 0.75. If you combine 0.75 with -20, then it is 20.75.
Answer:
C
Step-by-step explanation:
please solve ill mark first answer brainliest
2.2 2.1.4 a Given that A and B are complementary angles and 7 cos A-3 = 0. Determine WITHOUT the use of a calculator, the value of: 7 cos B-3 tan A. (4)
if p is a acute angle then p is how many degrees
Answer:
Less than 90⁰
Step-by-step explaination:
If p is an acute angle then, p can be equal to any measurement less than 90⁰
It can be upto 89⁰
Answer:
0 < angle < 90
Step-by-step explanation:
Acute angles are between 0 and up to 90 degrees
Right angles are 90 degrees
Obtuse angles are greater than 90 degrees and less than 180 degrees
What is the product of -2 1/2 and 3 1/3 ?
Step-by-step explanation:
Hope this helps you ☺️☺️