B
D
E
С
3
In the figure above, tan B
If BC = 15 and DA = 4, what is the length of DE
Answer:
Step-by-step explanation:
{y2+8y−128=0x=34⋅(y+4) ... The two right triangle are similar, so: BDAB=DEAC. From this, I obtain: ... AC=3x AB=4x (3x)²+(4x)²=225 x=3 BD=8 AB/AC=BD/DE 12/9=8/DE DE=6.
The length of segment DE in the given triangle is 6 units.
What are trigonometric ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Given that, a right-angled triangle ABC, with a segment DE, where tan B = 3/4, BC = 15 and DA = 4
Since, tan B = 3/4
Cos B = 4/5
Cos B = AB / BC
therefore,
4/5 = AB / 15
AB = 12
BD = AB - AD = 12-4
BD = 8
Now, Tan B = 3/4
DE / BD = 3/4
DE / 8 = 3/4
DE = 6 units
Hence, the length of segment DE in the given triangle is 6 units.
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Are same side exterior angles congruent
At 7 A.M the temperature was 4 .At 9A.M it was a degrees warmer. What was the temperature at 9 A.M
Answer:
5 I’m guessing
Step-by-step explanation:
If it’s a degrees warmer and to the right of a number line is warm in weather then it would be 5.
What is the value of n - 7 when n = 14?
21
2
7
9
Answer:
C) 7
Step-by-step explanation:
Plug in 14 for n in the equation.
n - 7
14 - 7
Subtract: 14 - 7 = 7
C) 7 is your answer.
~
HEELLPPP!!!!!! PLZ!!! 3÷9+12-6+13
Answer:
19.33
Step-by-step explanation:
1. f(x) = 9x^2 - 3
Find the vertex
Which of the following options represents the graph of the function show above? f(x) = (x+3) ^3- 1
f(x) = (x-3) ^311
f(x) = (x-3)^3+ 1
f(x) = ( x + 3)^3+1
Answer:
C
Step-by-step explanation:
First, notice that this is a cubic function.
The standard form for a cubic function is:
[tex]f(x)=a(x-b)^3+c[/tex]
Where a is the vertical stretch, b is the horizontal shift, and c is the vertical shift.
From our graph, we can see that unlike the parent function, x³, this cubic is 3 units to the right and 1 unit up from the standard position.
Therefore, our b is +3 and c is +1. Let's substitute these values. Also, let's assume a is 1. So:
[tex]f(x)=(x-3)^3+1[/tex]
Therefore, our answer is C.
And we're done!
I need help ASAP please
Answer: x =168
Step-by-step explanation:I think it would be 80 plus 88 so its 168.
If x2 + 3x + 7 is divided by x + 2, then what is the remainder?
Answer:
ok but thx for the points
Step-by-step explanation:
The remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).
Given the polynomial; f(x) = x² + 3x + 7, since it is divided by x + 2, hence:
x + 2 = 0
x = -2
f(-2) = (-2)² + 3(-2) + 7 = 5
Hence the remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.
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AC=x+165,AB=48 and BC=2x+139. Find x
Answer:
Assuming A, B, and C are collinear and B is between A and C then x = -2 2Step-by-step explanation:
Assuming A, B, and C are collinear and B is beetween A and C
AB + BC = AC
48 + 2x + 139 = x + 165
2x + 187 = x + 165
x = -22
Help me please thank you
Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x= 63 . Which of these statements are true? Choose ALL that are correct. A. Robert's sales are represented by x when solving 3.5x= 63 . B. Robert's sister's sales total $18.00. C. Robert's sales total $25.20. D. Robert's sister's sales are represented by x when solving 3.5x= 63 . E. Robert's sales are represented by x when solving 2.6x= 63 .
Answer:
The answer is B. and D.
Step-by-step explanation:
if you solve the equation, you will find that X=18. Since his sister's sales are X, his sister sold 18. You multiply by 2.5 to find Robert's sales.
The correct statements are (B) and (D).
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is x + 2.5x = 63.
Note that Robert's sales are 2.5 times his sister's sales, therefore, if his sister's sales is x then his sales are 2.5x
Hence, option (A) is incorrect, as Robert's sales are 2.5x.
Solve the equation as follows:
x + 2.5x = 63
3.5x = 63
x = 63/3.5
x = 18
Hence, option (B) is correct.
Since x=18, Robert's sales are:
2.5 × 18
= 45
Hence, option (C) is incorrect, as Robert's sales are $45, not $25.20.
Option (D) is already shown to be correct.
Option (E) is also incorrect, as option (D) is correct.
Hence, the correct statements are (B) and (D).
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i just need some help honestly
Since PQ = QR = RS,
Let's set PQ equal to RS
2x + 3 = x + 10
Subtract x and 3 from both sides.
x = 7
PQ = 2x + 3 = 2(7) + 3 = 14 + 3 = 17
Since PQ = QR = RS,
QR = 17
simplifying Expression 3x+6x 9a-10a
Step-by-step explanation:
(3x+6x)+(9a-10a)
combine like terms
9x+-a
That's as far as it goes...
Sorry if it's wrong
Does anyone know the answer to this?
Answer:
(B) The exponents should be subtracted by the quotient rule of exponents
Step-by-step explanation:
Let's examine how this was solved.
[tex](\frac{4^2 4^3}{4^{-5}})^2[/tex]
He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.
[tex]\frac{4^4 4^6}{4^{-10}}[/tex]
He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.
[tex]\frac{4^{10}}{4^{-10}}[/tex]
Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].
[tex]10 - (-10) = 10+10 = 20[/tex]
So the final answer should have been [tex]4^{20}[/tex]
Hope this helped!
I need help on numbers 1 & 2 please! it’s due at 11:59 tonight
Answer:
I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x
I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x
which expression is equivalent to 42+90?
Step-by-step explanation:
42+90 can be written in many ways.
Fore example, it can be written with double negatives, or even commutative property.
42-(-90) or 90+42
(21x2)+(45x2) or (6x7)+(3x30)
Sorry if it's wrong...
7 + 8p - 27
terms ?
coefficients ?
Answer:
Terms: 7, 8p, -27
Coefficients: 8
Step-by-step explanation:
1. A term is a constant, a variable, or a product of a constant and variable. Therefore, 7, 8p, and -27 are terms.
2. A coefficient is a number that is in front of a variable like 8 in front of p.
Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. true
2. true
3. false
4. false
5. true
6. false
7. fase
8. true
f(x) = -2x, g(x)= -2x-1
Answer:
I graphed the two points on a graph in the attachment! Hope this helps! :)
Step-by-step explanation:
2. -5x – y = 7
I need help to solve for y
Answer:
y= -7 - 5x
Step-by-step explanation:
Move all of the terms that dont contain y to the right side and then solve it.
Hope this helps.
The value of the given equation in the form of y is y= -7 - 5x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given equation is -5x – y = 7. The value of the expression for the value of y will be calculated as below:-
-5x – y = 7
-y = 7 + 5x
y = -7 - 5x
Therefore, the value of the given equation in the form of y is y= -7 - 5x.
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A farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market
Step-by-step explanation:
farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market
Everyday my cousin and I played a game of chess. To make it interesting, whoever lost the game owes a chocolate to the other. We played many games of chess over many days. After the last game we played, we counted the number of games each of us had won and lost. Since I won more than her, she handed me 29 chocolates, even though she did win 5 games. How many total games did we play?
Answer:
34, I think.
Step-by-step explanation:
if you have 29 chocolates, and she won 5, 29+5 equals 34
write 40/17
as a decimal rounded to the nearest hundredth.
I even tried this and couldn't figure it out
0.7+y=−1.34 please and thank you
Answer:
0.64
Step-by-step explanation:
1) Subtract 0.7 from 1.34 and you will get 0.64
Hope this helps!
−3 2/7−(−5/7) plz help me
Answer:
-2 or -14/7 (they're the same)
Step-by-step explanation:
Write it out: [tex]-3\frac{2}{7} - (-\frac{5}{7})[/tex] Simplify. It should now look like this: [tex]-3\frac{2}{7} + \frac{5}{7}[/tex] Turn -3 2/7 into an improper fraction. It should now look like this: -19/7Add: [tex]-\frac{19}{7} + \frac{5}{7} = -\frac{14}{7} = -2[/tex]I hope this helps!
Answer:
- 2 ⁴/₇Step-by-step explanation:
-3 ²/₇ - ( - ⁵/₇)
- 23 / 7 + 5 / 7
_ 23 + 5
7
_ 18
7
- 2 ⁴/₇
Boxes of tinned cat food are delivered to a shop. There are 28 boxes and in each box there are 16 tins how much is there all together ??
Answer:
448
Step-by-step explanation:
You just need to multiply 28 by 16
Answer:
did you post anything on this I see nothing?
3x + 2y=11 // 2x - 2y = 14 solve I substitution method
Hey there! I'm happy to help!
To solve by substitution, rearrange one of the equations for one of the variables.
3x+2y=11
Subtract 2y from both sides.
3x=11-2y
Divide both sides by 3.
x=11/3-2/3y
Now we plug this value of x into the second equation to solve for y.
2(11/3-2/3y)-2y=14
We use distributive property to undo the parentheses.
22/3-4/3y-2y=14
We combine like terms.
22/3-10/3y=14
We subtract 22/3 from both sides.
-10/3y=20/3
Divide both sides by -10/3.
y=-2
We plug this value into one of the equations to solve for x.
3x+2(-2)=11
3x-4=11
Add 4 to both sides.
3x=15
Divide both sides by 3.
x=5
So, the solution is x=5 and y=-2 or (5,-2).
Have a wonderful day! :D
A sample of copper (Cu) contains 69.17% Cu-63. The remaining copper atoms are Cu-65. What is the average atomic mass of copper?