We can determine sin an in the above triangle using the available information without applying the Pythagorean theorem since the length of BC is required because it is the side opposite A.
We are told that we must calculate sin(a) without utilizing the Pythagorean theorem.
Now, we can see from the abbreviation SOHCAHTOA that if we wish to determine Sin a, it will be; sin a = opposite/adjacent
We must now locate a side opposing the angle A or the hypotenuse.
As a result, since the triangle is ABC, the required side is BC because it is the side opposite to A.
Finally, the length of BC is required because it is the side opposite A.
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The complete question should be like:
What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.
find the area of the rectangle whose length is 16cm and breath is 8cm
Answer:
128cm²
Step-by-step explanation:
Formula to find area of rectangle is l×b
In order to find the area of the rectangle we need to apply that formula
[tex]A =lb[/tex]
[tex]A = 16[/tex]×[tex]8[/tex]
[tex]A = 128[/tex][tex]cm[/tex]²
Hence , the area of the given rectangle is 128cm²
What is the median? Help please
Answer:
-65
Step-by-step explanation:
Median = middle number
-76, -74, -67, -65, -63, -58, -48
out of the numbers I am shown, from the photo, I would say "-65" is the answer, but if there is another number I'm missing, add it to the row of numbers above and add the two numbers together and divide by 2
I hope this helps!
Write an inequality with the solution x > or equal to 4. The inequality should have the variable on both sides, a fractional coefficient of the variable on the left side, and a fraction anywhere on the right side.
The inequality equation ( x ≥ 4 ) is given as ( 1/4 ) + ( 5x/4 ) ≥ ( 5/4 ) + x
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
x ≥ 4 be equation (1)
On simplifying the equation , we get
Divide by 4 on both sides of the equation , we get
( x / 4 ) ≥ 1
Adding x on both sides of the equation , we get
x + ( x/4 ) ≥ 1 + x
Now , adding ( 1/4 ) on both sides of the equation , we get
x + ( 1/4 ) + ( x/4 ) ≥ 1 + x + ( 1/4 )
On simplifying the equation , we get
( 1/4 ) + ( 5x/4 ) ≥ ( 5/4 ) + x
Therefore , the value of A is ( 1/4 ) + ( 5x/4 ) ≥ ( 5/4 ) + x
Hence , the inequality equation is ( 1/4 ) + ( 5x/4 ) ≥ ( 5/4 ) + x
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The table shows a linear function. What is the rate of change?
Hours
Pay
1
18
1.5
23
2
28
2.5
33
3
38
Using the regression concept to find the equation and applying derivative, The rate of change is 10.
What do you mean by regression?Regression analysis is a group of statistical procedures used in statistical modeling to determine the associations between a dependent variable and one or more independent variables. The dependant variable's predicted value in basic linear regression is given by the equation = b0 + b1x. In order to minimize the total sum of squared errors, the values of b0 and b1 are derived from the data using the equation line = b0 + b1X.
What do you mean by derivative?The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative.
from the given data,
y= a + bx is our regression line.
a=8 and b =10
y=8+10x is the line.
derivate the line , we get,
[tex]\frac {dy}{dx} = 10[/tex]
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Help please!!!!!!!!!
Answer:
a=8
b=⅛
c= 2.6
d= 0.26
that's all the answers
A necklace contains 36 grams of gold. 72% of the mass of the necklace is gold. What is the mass of the necklace?
Answer:
$45
Step-by-step explanation:
Answer:
50 grams
Step-by-step explanation:
36 grams = 72%
→ Find 1% by dividing both sides by 72
0.5 grams = 1%
→ Times both sides by 100 to find 100%
50 grams = 100%
The domain of f(x)=ln(x) is negative infinity, infinity.
False, because a logarithmic function is defunded only for positive real numbers
False, because a logarithmic function is defined only for non-negative real numbers
False, because a logarithmic function is defined only for negative real numbers
Answer: Choice A
False, because a logarithmic function is defined only for positive real numbers.
===========================================================
Explanation:
Using your calculator, you should see that ln(0) is undefined or it leads to some kind of error. The same happens when you try ln(-1) or any other negative number. So ln(x) only allows x > 0. This applies to any log function, and not just the natural log function.
This is why choice A is the answer. Choice B is close, but the use of "non-negative" is not correct because that means 0 is involved. But as explained above, 0 is not allowed as part of the domain.
-----------------
Extra info (optional section)
As for why 0 and negative numbers are not allowed, you have to look carefully at what logs are designed for. They were formed to help solve exponential equations. Consider the following equation
2^x = 16
We could do guess and check to see which value would replace x. You should find that x = 4 is the solution. Though another way to solve is to use logs. The given equation converts to the log form of [tex]x = \log_2(16)[/tex]; note how the number inside the parenthesis is positive. We can't have 2^x equal to a negative value, due to powers of a positive number being a positive result. So that's why we rule out negative numbers as part of the domain. Zero is excluded for similar reasoning.
Answer:
negative infinity
positive infinity
Step-by-step explanation:
edg 2022
QUICK PLEASE IM COuNTING ON YOU!!!!!!! If you were to connect three light bulbs in parallel and then connect three light bulbs in series, from which circuit will the light bulbs be brighter?
Answer:
SeeStep by Step explanation
Step-by-step explanation:
Currently, light bulbs need nominal voltage in their operation ( that is if your system is 120 V phase-neutral ) they will have a nominal voltage 120 (v). For that reason, all of them need this voltage for their proper operation, which follows that in any circuit the bulbs must be installed in parallel.
If you install them in series, the first will get most of the 120 (v) let´s say 90 (V), and maybe work, but the next one won´t work because the voltage will drop and between the terminals of the second bulbs you surely measure 20 (V) or less, the third one will be working with 10 (V) according to kirchhoff´s second law
please somebody please help
[tex]{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27=ab^1\implies 27=ab \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} x=2\\ y=243 \end{cases}\implies 243=ab^2\implies 243=abb\implies \cfrac{243}{ab}=b \\\\\\ \stackrel{\textit{substituting from the 1st equation}}{\cfrac{243}{27}=b\implies \boxed{9=b}} \\\\\\ 27=ab\implies \cfrac{27}{b}=a\implies \cfrac{27}{9}=a\implies \boxed{3=a}~\hfill {\Large \begin{array}{llll} y=3(9)^x \end{array}}[/tex]
Find the length of the third side. If necessary, round to the nearest tenth
On solving the provided question, we can say that it is right angle triangle provided, so cos 60 = 3/H => 1/2 = 3/H => H = 6
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
it is right angle triangle provided,
so
cos 60 = 3/H
1/2 = 3/H
H = 6
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Are isosceles triangles always 90?
No, isosceles triangles do not always have to have 90-degree angles.
An isosceles triangle is a triangle with two sides of equal length. While the two sides are equal, they can be of any length. This means that the angles of the isosceles triangle can vary, and the triangle does not always have to have 90-degree angles. In fact, an isosceles triangle can have angles that range from 0 to 180 degrees. The only requirement for an isosceles triangle is that it must have two sides of equal length. As such, an isosceles triangle can have angles that are greater than 90 degrees, angles that are less than 90 degrees, or even angles that are equal to 90 degrees.
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Lionel bought 4 candy bar and 2 pack of gum at the ga tation and pend $9. 80. Two pack of gum cot the ame a three candy bar. Let g repreent the cot of a pack of gum and repreent the cot of a candy bar
The cost of a pack of gum bought by Lionel is $2.1.
Let the variable g represent the cost of a pack of gum.
Let the variable c represent the cost of a candy bar.
Since Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80, a linear equation that models this situation is;
4c + 2g = 9.80 ......equation (1)
Additionally, two packs of gum cost the same as three candy bars:
2g = 3c ......equation (2)
c = 2g/3 ......equation (3)
Substituting equation (3) in equation (1), we get:
4(2g/3) + 2g = 9.80
8g/3 + 2g = 9.80
14g/3 = 9.80
14g = 29.4
= 29.4/14
= $2.1
The cost of a pack of gum is $2.1.
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The complete question is -
Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80. Two packs of gum cost the same as three candy bars. Let g represent the cost of a pack of gum and c represent the cost of a candy bar. What is the cost of a pack of gum?
What if you quadruple the radius of a circle. What happens to the circumference? Explain using examples.
Step-by-step explanation:
Let's check
Let radius be xCircumference:-
➜2πr
➜2πx
New radius=3xNew Circumference:-
➜2πr
➜2π3x
➜6πx
Taking ratio:-
➜2πx/6πx
➜1/3
➜1:3
Thus,If we quadruple the radius Circumference will also be quadrupled.
CORRECT ANSWER WITH **STEPS** GETS BRAINLIEST
for the following questions, determine what values of x makes the rational expression equal to zero.
1. x+6 / x-4
2. (x+4)(x-2) / (x+6)
3. 2x+10 / 3x-12
thanks.
HIJK is a square and KI = 6√2. Find HI
The length of HI will be;
⇒ 6 units.
What is Pythagoras theorem?The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
HIJK is a square.
The length of KI = 6√2
Now,
Since, HIJK is a square.
Hence, There are all sides are equal.
Let the side of square = x
So, By Pythagoras theorem, we get;
⇒ KI² = HI² + HK²
Substitute the given values, we get;
⇒ (6√2)² = x² + x²
⇒ 72 = 2x²
⇒ x² = 36
⇒ x = √ 36
⇒ x = 6
Thus, The length of HI = 6 units
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A photographer takes 12 different photographs. There are 3 sunsets, 4 oceans, and 5 mountains.
How many possible arrangements are there if all the photographs of the mountains are next to each other?
Answer:
4838400 arrangements--------------------------------------------------
Permutation of 5 mountain photographs:
P(5, 5) = 5! = 120Since all are next to each other, the mountain photographs count as one item along with the other 3 + 4 = 7 photographs and therefore the permutation for this is:
P(8,8) = 8! = 40320Total arrangements is:
120*40320 = 4838400Solve the following equation. Then place the correct number in the box provided 7x-2<10
Answer:
[tex]\displaystyle x < \frac{12}{7}[/tex]
Step-by-step explanation:
This is an inequality, not an equation. Notice the sign is a "less than" sign and not an "equal" sign. You still solve it like a normal equation, however:
[tex]\displaystyle 7x-2 < 10\\\\\rightarrow 7x < 12\\\\\rightarrow x < \frac{12}{7}[/tex]
Veronica bought a house with an FHA loan. She pays $780 a year for real estate taxes
and $900 a year for homeowner's insurance. What is the monthly amount added to
Veronica's mortgage payment?
A: $140
B: $65
C: Not enough information given to compute impound amount
D: $1,680
If you rode your bike for a distance of 841 meters, how many kilometers did you ride?
(NO LINKS PLEASE AND A PROPER ANSWER PLEASE AND NO SCAMMING FOR POINTS)
Answer:
It would be .841
Step-by-step explanation:
There are 1000 meters in a kilometer, and since 841 meters is 841/1000 kilometers, that is how many kilometers you would ride.
Hope this helps!
the graph of h(x)=-x^2+4x+4
Answer:
Step-by-step explanation:
the coefficients of this quadratic are -1, 4 and 4, and so the discriminant b^2 - 4ac works out to 16 - 4(-1)(4), or 0. Thus this graph has two real, equal roots which are the same point on the graph, the vertex, the maximum of the function.
Letting x = 0, we find that y is 4. Thus, the y-intercept is (0, 4). Plot this.
Using the formula x = -b / [2a], we find the axis of symmetry:
x = -4 / [2*(-1)] = -4 / [-2] = +2
The axis of symmetry is the vertical line x = 2.
At x = 2, y = -(2)^2 + 4(2) + 4, OR -4 + 8 + 4, or 0.
The vertex and maximum value are (2, 0). The graph touches the x-axis in only one place.
Draw the axis of symmetry x = 2. Plot the vertex (2, 0) and the y-intercept. Reflect the y-intercept about the axis of symmetry to obtain a second point on the graph at the same y-value as (0, 4).
What's the answer for this question?
This question is way too long
[tex]83 {p}^{3} {q}^{2} {r}^{2} + 83p {q}^{2} {r}^{3} [/tex]
Answer:
83p^9 + q^7 + r^6 + 83p + r^6
Step-by-step explanation:
^9 means to the power of 9
^7 means to the power of 7
^6 means to the power of 6
i can't do step-by-step, it's too complicated to explain. im sorry
<3
Help me how do you do this plz no links
Answer:
12
Step-by-step explanation:
According to the Pythagorean Theorem,
5^2 + X^2 = 13^2, OR
25 + X^2 = 169
X^2 = 169, SO X = √144, or 12
The unknown side has length 12.
Which equation best models relationship between the height X and circumference why of the young trees
NO LINKS !!
Answer:
i think it’s B
Step-by-step explanation:
Someone help plz make sure it’s right plz will mark brainiest if it is:)
Answer:
4th picture is the correct one :)
HELP PLEASE ANSWER THIS QUESTION!!!
Answer:
First use the formula of diamete which is d by 2
Step-by-step explanation:
which the answer comes 6 and after that use formula of area of a semcicle that is pie into radius square and the answer comes 113.14
An amusement park sold 45 child tickets. The other 18 tickets it sold were adult tickets. What is the ratio of the number of child tickets to the number of adult tickets and the ratio of the number of adult tickets to the number of child tickets ?
Answer:
2.5/1
Step-by-step explanation:
mark me brainliest pls
Work out the surface area of this solid prism,
25cm
29cm
20cm
40cm
36cm
Answer:
The figure isn't there brother
What number would you add to both sides of x2 + 7x = 4 to complete the square?!...
Answer:
49/4 is the answer
Step-by-step explanation:
................
Answer:
The number that should be added on both sides is the square of half the coefficient of x. That is (7/2)²
Step-by-step explanation:
What is your walking rate in yards per minute?
2. Noah said the equation 1. 20(d+5)=42 also represents the situation. Do you agree with Noah? Explain your reasoning ✓ Share with Class
No, I'm not agree with Noah. Because the equation 1. 20(d+5)=42 is a mathematical equation and can be false depending on the value of the variable d.
THE EQUATION REPRESENT SITUATION BY VARIABLEThe equation 1. 20(d+5)=42 is a mathematical equation that contains a variable d. The equation states that when you multiply 20 with (d+5) the result should be 42.
The equation is true if there is a value of d that makes the equation true. For example, if d=1, then 20(1+5)=20(6)=120 which is not equal to 42, so this value of d does not make the equation true.
On the other hand, if d=-7, then 20(-7+5)=20(-2)= -40 which is equal to 42, so this value of d makes the equation true.
Therefore, the equation can be true or false depending on the value of the variable d. In general, without knowing the specific context or situation in which the equation is being used, it is impossible to determine if the equation accurately represents a situation or not.
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