The ABC and XYZ statements are trigonometric statements
The equivalent of A is ZThe equivalent of B is XThe equivalent of C is YHow to match the statements?A. sin^2 θ
To do this, we apply the following trigonometric ratio
sin^2 θ + cos^2 θ = 1
Subtract cos^2 θ from both sides
sin^2 θ = 1 - cos^2 θ
Hence, the equivalent of A is Z
B. sin(-θ)
Assume that θ is an acute angle, then we have:
sin(-θ) = -sinθ
Hence, the equivalent of B is X
C. tanθ
Using the trigonometry formula, we have:
tanθ = sinθ/cosθ
Hence, the equivalent of C is Y
Read more about trigonometry ratios at:
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Which expressions are equivalent to 4^-2 x 7^-2
Answer:
[tex]\frac{1}{784}[/tex]
Step-by-step explanation:
4⁻² * 7⁻²
Use the Negative Exponent Property: x⁻ⁿ = [tex]\frac{1}{x^n}[/tex]
[tex]4^{-2}*7^{-2}\\\\ \frac{1}{4^2}*\frac{1}{7^2}\\\\ \frac{1}{16}*\frac{1}{49}\\\\ \frac{1}{784}[/tex]
Hope this helps!
Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..
Answer:
24
Step-by-step explanation:
you slove the sides and find x
Answer:
x=40 m∠A=100° m∠B=80° m∠C=65°
Step-by-step explanation:
Step 1: Find relationships between the angles (corresponding, alternate exterior, alternate interior, consecutive interior, or consecutive exterior)
Step 2: m∠A + m∠B = 180°
So, (3x-20)° + (2x)° = 180°
Step 3: Solve for x (x=40)
Step 4: Plug in x to the angles
m∠A= 3(40) - 20
m∠B= 2(40)
m∠C= 2(40)-15
Select all the expressions that are equivalent to 4 ^ - 3
Answer:
B. 2^-6
C. 1/4³
D. (1/4) (1/4) (1/4)
Step-by-step explanation:
4^-3 is the same as 1/4³ so it is equivalent
46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64
2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent
B, C, and D are your answers
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
GRADE 9 maths! due tonight please help!!
Answer:
Step-by-step explanation:
Which one is equal to 6 x 10^5
A (3 x 10^8) (2 x 10^-2) or B 600,000,000
Using scientific notation, it is found that the value that is equals to 6 x 10^5 is given by:
A (3 x 10^8) (2 x 10^-3)
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
When two numbers are multiplied, we multiply the bases and add the values of the exponents, hence:
[tex](3 \times 10^8) \times (2 \times 10^{-3}) = 6 \times 10^5[/tex]
More can be learned about scientific notation at https://brainly.com/question/16394306
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The problem is the screenshot
Answer: 0 5 10
Step-by-step explanation:
y = 5(0)
y = 0
y = 5(1)
y = 5
y = 5(2)
y = 10
Choose the phrase that correctly completes this sentence.
Taking out a loan is like ____________________.
You are considering the two different car loans.
Using the payment table, which loan has the lowest monthly payment?
Loan A has the lower monthly payment
=========================================================
Explanation:
Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.
However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01
So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.
------------------
Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18
The multiplier this time is 162.90 because (16290)/(100) = 162.90
Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.
--------------------
To summarize, we have these monthly payments
loan A monthly payment = $348.50loan B monthly payment = $518.02Loan A has the lower monthly payment
A bag of apples weighs 6 2/7 pounds . A crate of bananas is 4 times as heavy as the apples. How much heavier are the bananas than the apples
Call the weight of the bag of apples as x (x = 6 2/7)
Since the crate of bananas is 4 times as heavy as the apples -> the crate of bananas = 4x
So, to find the weight difference, we minus those : 4x - x = 3x
Now we convert this : 3x = 3 x 6 2/7 = 132/7
Convert to :
Mixed : 18 6/7
Decimals (3 d.p) : 18.857...
solve this nonlinear system of equations.
y=-x^2+6x-5
y=3
step 1: use substitution to combine the equations. Rewrite so that one side is equal to zero.
step 2: factor the equation
step 3: identify the x-values of the solutions.
step 4: identify the solutions to the system.
Answer:
1. [tex]x^2-6x+8=0[/tex]
2. [tex](x-4)(x-2)=0[/tex]
3. [tex]x=4 \text{ and } x=2[/tex]
4. [tex]x=4 \text{ and } x=2[/tex]
Step-by-step explanation:
1. When using substitution all we do would be is substituse the y for a 3.
This leaves us with the equation:
[tex]3=-x^2+6x-5[/tex]
Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]
or if we shift the 0 to the other side:
[tex]x^2-6x+8=0[/tex]
2. In order to factor the equation we can use the butterfly method:
[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:
[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.
3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]
4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.
help me please thank you soo much
The ordered numbers from least to greatest are 33/100 = 0.33, 4/10 = 0.4, 5/10 = 0.5, 6/100 = 0.06, 3/4 = 0.75.
How do you convert fractions to decimals?Divide the top number or numerator into the bottom number or denominator.
6/100 = 0.065/10 = 0.54/10 = 0.43/4 = 0.7533/100= 0.33How to organize the numbers?When organizing decimal numbers you need to follow the same rules than when organizing regular numbers. For example, 0.5 is greater than 0.4 because 5 is greatest than 4.
Based on this, the correct order is:
33/100 = 0.334/10 = 0.45/10 = 0.56/100 = 0.063/4 = 0.75Learn more about numbers in: https://brainly.com/question/17429689
drake uses 9/4 cups of sugar to make 9 mugs of brownies how much sugar is required to make one brownie
Answer:
1/4 cup
Step-by-step explanation:
9/4 / 9 =
9/4 *1/9 the nines cancel out to leave
1/4
If £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years
Answer:
£2121.8
Step-by-step explanation:
2000 X 1.03 X 1.03 = 2121.8
If the ratio of the rectangular prisms' volumes is 1:8, what is j?
PLEASE HELP WILL MARK BRAINLIST
J is equal to 24 ____________________________
Factor the polynomials completely, then solve 48x² - 75 = 0
Answer:
[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]
Step-by-step explanation:
48 = 3 × 16
75 = 3 × 25
_________
Then, a Complete factorization of 48x² - 75 is :
[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]
_____________________
Now let’s solve our equation 48x² - 75 = 0
48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0
[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]
help me plsssssssssss
Answer:
Sin 21 = p/b
0.358 = 5.5 / x
x = 5.5 / 0.358
therefore , x = 6.97
Step-by-step explanation:
Use sin formula
which is perpendicular/ base
just put the value
help please i been stuck on this question for the last hour im on the verge of tears
(You should take the full screenshot)
Since no percentages were provided (at least not in the ss), we have to approximate?
The space that parrots and sparrows take up is almost half the circle (we'll say 48-49%)
So, we can convert that to fraction : 48/100 or 49/100
There is 1/2 of the birds seen were either parrots or sparrows.
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
Figure shows the birds seen.
Now, We have;
By figure the half of circle is shown either parrots or sparrows.
Hence, The value of fraction of the birds seen were either parrots or sparrows is,
⇒ 1/2 of 100%
⇒ 1/2 × 100/100
⇒ 1/2
Therefore, The value of fraction of the birds seen were either parrots or sparrows is, 1/2
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What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)
Answer:
7
Step-by-step explanation:
Given expression:
6x³y + 8x² + 5x + 7The constant is a term that has no variables. Let's verify the terms in the expression to determine which term is the constant.
Determining if 6x³y is a constant:
This term is not a constant because the term includes two variables (x and y).Determining if 8x² is a constant:
This term is not a constant because the term includes a variable (x).Determining if 5x is a constant:
This term is not a constant because the term includes a variable (x).Determining if 7 is a constant:
This term is a constant because the term has no variables.Learn more about constants: https://brainly.com/question/11977365
Answer:
7
Step-by-step explanation:
The constant term in an expression is the term without a variable.
The variables in this expression are x and y, so the constant term is 7 as this term does not have a variable.
what does T equal to?
Answer:
4/3
Step-by-step explanation:
t^3=64/27
=4^3/3^3
=index same
t =4/3
Answer:
4/3)
Step-by-step explanation:
t- 3= 64/27
= 4-3/3-3
= index same
t = 4/3
A brand new vehicle costs $25,399. It decreases in value by 8.5% each year after its purchase.
Which function models the value of the vehicle in dollars x years after its purchase?
f(x)=1.085(25,399)x
f(x)=0.915(25,399)x
f(x)=25,399(0.915)x
f(x)=25,399(1.085)x
The cost after x years is the initial cost minus the amount of decrease after the duration of x years
Percentage DecreaseGiven Data
Initial Cost of vehicle = $25,399Rate of decrease = 8.5%Duration = yearlyLet us find 8.5% of $25,399
= 8.5/100*$25,399
= 0.085*25399
= 2158.915
Cost after x years will be
Final cost = 25,399 - 2158.915*x
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8/15 as a decimal rounded to the nearest hundreth
Answer:
0.53
Step-by-step explanation:
A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.
8÷15 = 0.5333333...
Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.
8/15 ~= 0.53
Check all fractions equivalent to 3⁄9?
Answer:
I don't see the problem, Where is the image?
What is the length of a car if the length on the scale madel car is 17 cm and the scale is 2 cm : 50 cm?
Answer:
x= 425
Step-by-step explanation:
plssssss helpppppp meeeeeeeee
Answer:
A
Step-by-step explanation:
i dk im just desperate because the entire community is offline
can someone help me with this question
b is a answer
Step-by-step explanation:
formula
=a+b/2×h
Answer: 126 mm^2.
Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half. The steps are done below:
First, we need to find the bases and the height. The bases are are circled below, but it's basically the top and bottom lengths of the triangle. Base 1 doesn't have to be 10 either, it can be 18 base 2 can be 10, whichever works for you. All you need is to assign each base with a top or bottom length. The height is how tall the trapezoid is, which is also circled below.Secondly, we need to add the bases and multiply the height. B1 is base 1, b2 is base 2, and h is the height. It should look like this: 10 (b1) + 18(b2) = 28, then 28 x 9(h) = 252.Lastly, we need to divide 252 in half, which you can do in two ways. You can either simply divide 252 by 2, or multiply 252 by 1/2, which both give you the answer 126 mm^2, which is your answer.Have a great day! :)
Which of the following statements is no True?
A) the square root of 112 is between 10 and 11
B) the square root of 180 is between 13 and 14
C) the square root of 12 is between 4 and 5
D) the square root of 5 is between 2 and 3
Answer:
correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11
Step-by-step explanation:
May you help me please I am stressed and struggling
Answer:
2x+4+3x+4
5x+8
2(2x+4)+x
Step-by-step explanation:
• 2x+4+3x+4 would be equal to 5x+8
because you will group like terms: 2x+ 3x=5x and 4+4=
• 2(2x+4)+x
multiple what's outside the bracket by what's inside .
4x+8+x
4x+x =5x and 8
sooo 5x+ 8
Hope this helps
Work out
(
1.8
×
10
−
3
)
÷
(
2
×
10
−
7
)
Give your answer in standard form
Answer:
1.15
Step-by-step explanation:
(1.8*10-3)/(2*10-7)
(18-3)/(20-7)
15/13
1.15
..................
Strawberries are on sale 3 boxes for $6.99. How much does 1 box cost?
Answer:
$2.33
Step-by-step explanation:
6.99/3 = 2.33
Divide cost of 3 boxes by 3:
6.99/3 = 2.33
1 box cost $2.33
You decide to update your bathroom. You are going to put new tile in your shower. Your shower has three rectangular walls that need tiled. One wall is 5 feet wide and 8 feet high. The other two walls are each 4 feet wide and 8 feet high. What is the total area that you will need to tile?
[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]
[tex]\sf{A=8*5}[/tex]
[tex]\sf{A=40~ft^2}[/tex]
[tex]\rule{200}{2}[/tex]
[tex]\sf{A=4*8}[/tex]
[tex]\sf{A=32~ft^2}[/tex]
Now, add the areas:-
[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]
[tex]\sf{A=72+32}[/tex]
[tex]\sf{A=104}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)