Answer:
There is no valid value for b
Step-by-step explanation:
We solve the above question using the law of cosines
b² = a² + c² - 2ac × Cos B
B = 42°, a = 6, c = 4
b² = 6² + 4² - 2 × 6 × 4 × Cos 42
b =√6² + 4² - 2 × 6 × 4 × Cos 42
b = √36 + 16 - 48 × Cos 42
Solving the above question, there is no valid value for b
ASAP HELP PLS NO WRONG ANSWERS------------
Answer:
d=2
Step-by-step explanation:
We are given equation:
sqrt(4y-3)=d-y
Squaring both sides gives:
4y-3=(d-y)^2
Applying the identity (x+y)^2=x^2+2xy+y^2 on right:
4y-3=d^2-2dy+y^2
Now let's y=7:
4(7)-3=d^2-2d(7)+(7)^2
Simplify:
25=d^2-14d+49
Subtract 25 on both sides:
0=d^2-14d+24
Factor left:
0=(d-12)(d-2) since -2+-12=-14 and -2(-12)=24
This gives d=12 or d=2.
The d that makes d-y or I mean d-7 negative will give us y=7 as extraneous
Since 2-7 is -5, then d=2 is what we are looking for.
Check:
sqrt(4y-3)=d-y
Set d=2: sqrt(4y-3)=2-y
Now solve for y:
Square both sides: 4y-3=4-4y+y^2
Subtract 4y and 3 on both sides: 0=7-8y+y^2
Reorder right side: 0=y^2-8y+7
Factor: 0=(y-7)(y-1) since -7+-1=-8 and -7(-1)=7
This gives y=7 or y=1.
Plugging in y=7 for a check to this equation gives:
sqrt(4×7-3)=2-7
Sqrt(25)=-5
5=-5 which is not true which is what we wanted
Cos 600 degrees solved by double angle formula (20 points)
show work please :)))
Answer:
[tex] \rm\cos({600}^{ \circ} ) =-1/2 [/tex]
Step-by-step explanation:
we would like to solve the following using double-angle formula:
[tex] \displaystyle \cos( {600}^{ \circ} ) [/tex]
there're 4 double Angle formulas of cos function which are given by:
[tex] \displaystyle \cos(2 \theta) = \begin{cases} i)\cos^{2} ( \theta) - { \sin}^{2}( \theta) \\ii) 2 { \cos}^{2}( \theta) - 1 \\iii) 1 - { \sin}^{2} \theta \\ iv)\dfrac{1 - { \tan}^{2} \theta}{1 + { \tan}^{2} \theta } \end{cases}[/tex]
since the question doesn't allude which one we need to utilize utilize so I would like to apply the second one, therefore
step-1: assign variables
to do so rewrite the given function:
[tex] \displaystyle \cos( {2(300)}^{ \circ} ) [/tex]
so,
[tex] \theta = {300}^{ \circ} [/tex]Step-2: substitute:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = 2 \cos ^{2} {300}^{ \circ} - 1[/tex]
recall unit circle thus cos300 is ½:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = 2 \left( \dfrac{1}{2} \right)^2 - 1[/tex]
simplify square:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = 2\cdot \dfrac{1}{4} - 1[/tex]
reduce fraction:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = \dfrac{1}{2} - 1[/tex]
simplify substraction and hence,
[tex] \rm\cos({600}^{ \circ} ) = \boxed{-\frac{1}{2}}[/tex]
Write the equation of the sinusoidal function shown.
Answer: A
It looks at though the graph moved down a unit, so definitely a (-1) at the end of the function. If you move the graph up a unit, you will notice that the y = cos x format, therefore, it's not C or D.The amplitude of the function is 1. So B and D are out because their amplitudes are 2.Therefore, the answer is A.
Aaron, Blaine, and Cruz are solving the equation 4 7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7 4 . Blaine started by using the distributive property to multiply 4 7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4 7 .
Answer:
D. All three chose a valid first step toward solving the equation.
Step-by-step explanation:
Aaron, Blaine, and Cruz are solving the equation 4/7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7/4 . Blaine started by using the distributive property to multiply 4/7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4/7 .
Which of the following is true?
A. Blaine and Cruz made an error in picking their first steps.
B. Cruz made an error in picking his first step.
C. All three made an error because the right side equals -1.
D. All three chose a valid first step toward solving the equation.
Given:
4/7(7 - n) = -1
Aaron:
4/7(7 - n) = -1
Multiple both sides by 7/4
4/7(7 - n) * 7/4 = -1 * 7/4
7 - n = -7/4
- n = -7/4 - 7
- n = (-7-28)/4
- n = -35/4
n = 35/4
Blaine:
4/7(7 - n) = -1
4/7(7 - n) × 7 = -1 × 7
4(7 - n) = -7
28 - 4n = -7
-4n = -7 - 28
- 4n = - 35
n = -35/-4
n = 35/4
Cruz:
4/7(7 - n) = -1
Divide both sides by 4/7
4/7(7 - n) ÷ 4/7 = -1 ÷ 4/7
4/7(7 - n) × 7/4 = -1 × 7/4
7 - n = -7/4
- n = (-7-28)/4
- n = -35/4
n = 35/4
D. All three chose a valid first step toward solving the equation.
Answer:
D-All three chose a valid first step toward solving the equation.
Step-by-step explanation:
Hope I Helped
9. Find the zero of the polynomial in each of the following
i)f(x) = 3x- 5
Answer:
[tex]f(x) = 3x - 5[/tex]
For a zero, f(x) = 0:
[tex]{ \tt{0 = 3x - 5}} \\ { \tt{x = \frac{5}{3} }}[/tex]
What is the solution of ?
Answer:
The answer to your question would be x=12. Equation is worked out below
Step-by-step explanation:
5 /2 x−7= 3 /4 x+14
5 /2 x-3/4x − 7 = 3 /4 x-3/4x +14
7/ 4 x−7=14
7 /4 x−7+7=14+7
7/ 4 x=21
do the opposite of 7/4x (division)
7/4 / 7/4x = 21 / 7/4
4/7 / 7/4x (cross each other out) = 21 / 4/7
x=12
Answer:
[tex] \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12[/tex]
I hope I helped you^_^
Work out the value of 10^2 - 4^3
Give your answer as a power of 6.
Answer:
6^2 = 36
Step-by-step explanation:
10^2 = 10 * 10 = 100
4^3 = 4 * 4 * 4 = 64
10^2 - 4^3= 100 - 64 = 36 = 6^2
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6^2[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Help plz Algebra 1
Simplify numbers 10 and 13 <3
Answer:
10t+2
Step-by-step explanation:
2-5t+8+5t-8
10t+2
Plzzz help 10 points and will mark brainiest
hint: answer is a fraction
Answer:
1/3
Step-by-step explanation:
The left side of FA is 6 units.
The left side of FB is 2 units.
From 6 to 2, you divide by 3.
Same for the top,
FA is 9 units, while FB is 3 units.
I hope this helps!
pls ❤ and mark brainliest pls!
i need B.
EMERGENCY THANK YOU VERY MUCH!!!
Answer:
A. Mean = 9.7 (take all the numbers and divide by 10)
Mode = 12
Range = 5
B. Unsure. Would suggest either Mean - average and can tell when bus is running late or early or Mode - highest and lowest time combined
HELLLPPP 31 kilograms is the same as how many pounds? Hint: 1 kg = 2.2 lb Round your answer to the nearest tenth.
Hi! I'm happy to help!
To solve this, we need to turn all the kilograms into pounds. We know that to turn 1 kg into a pound, you multiply the amount of kilograms by 2.2.
Knowing this, we can multiply our 31 kilograms by 2.2.
31×2.2=68.2
This means that 31 kilograms is equal to 68.2 pounds.
I hope this was helpful, keep learning! :D
On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9.5), (negative 2, 6), (0, 2), (1, 1.5), (2, 2), (4, 6), (5, 9.5), (6, 14).
Which is the rate of change for the interval between 2 and 6 on the x-axis?
Answer:
Step-by-step explanation:
The rate of change for the interval between x = 2 and x = 6 is simply asking you for the slope of the line that connects these 2 coordinates. If you were in calculus, you could find the instantaneous slope at any point on this parabola, but you're not quite that lucky yet, so we will go about it the only way we can:
by finding the slope. Remember, that slope is the same thing as rate of change.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and filling in:
[tex]m=\frac{14-2}{6-2}=\frac{12}{4}=3[/tex]
Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. This process continues through 3 more generations.
4x4=16 16x3=48 so I think the answer is 48
Graph the line that passes through (5, 5), and is perpendicular to a line whose slope is –2.
Answer:
y = 1/2x + 5/2
Step-by-step explanation:
y = 1/2x + b
5 = 1/2(5) + b
5 = 5/2 + b
5/2 = b
Moly completes 3/10 of her science project in 4/5 hour
Answer:
1.5 per hour
Step-by-step explanation:
Please help asap!!!!
Answer:
1. B,D
2. D
3. C
4. J
Step-by-step explanation:
Find the volume of the prism.
Answer:
11,968
Step-by-step explanation:
I'm not sure, but I think its 11,968
The lines below are perpendicular. If the slope of the green line is ž, what is
the slope of the red line?
-5
5
m =
Answer:
B or (-2/3)
Step-by-step explanation:
Perpendicuar lines have negative inverse slopes SO
3/2 ---> -2/3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
(-5,2)
Step-by-step explanation:
Answer:
(5 , 2)
Step-by-step explanation:
F(-5 , 2)
After reflection F'(5 , 2)
The rule for reflection over y-axis is
Original point(x , y) : After reflection: (-x,y)
x-coordinate will change its sign and y-coordinate remains same
the perimeter The area of squre Plat is 100 m² Find at the plot o a
Answer:
perimeter=40m
Step-by-step explanation:
PERIMETER=(AREA ROOT)*4
=10*4=40m
The function m is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
m(x) = 2(x +4)^2 – 8
m(x)= 2x^2 + 16x + 24
m(x)=2(x+6)(x+2)
Write one of the zeros
which of the following equations is an example of direct variation?
Answer:
C
Step-by-step explanation:
[tex] \frac{x}{3} [/tex]
Through (-1,2) parallel to the line x=5. Find an equation of a line that satisfies the given conditions.
Answer:
x= -1
Step-by-step explanation:
Since x= 5 is a vertical line, the unknown line would also be a vertical line with an equation of x=___ as they are parallel to each other.
Given that the line passes through (-1, 2), the equation of the line is x= -1.
Parallel lines have the same slope and will never meet.
PLS HELP ASAP
What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x − 12?
make a the subject of the relation p=2(a+b)
Answer:
a = (p - 2b)/2Step-by-step explanation:
Solve for a:
p = 2(a + b)p = 2a + 2b2a = p - 2ba = (p - 2b)/2The greatest number which on dividing 1657 and 2037 leaves nemainder 6 ands respectively is?
Answer:
It would be 127
Step-by-step explanation:
We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.
PLEASE EXTREMELY URGENT!!!
what is the solution to -2(8 x - 4) < 2x + 5
o x>1/6
o x<1/6
o x>6
o x<6
Answer:
1/6 <x
Step-by-step explanation:
-2(8 x - 4) < 2x + 5
distribute
-16x+8 < 2x+5
Add 16x to each side
-16x+16+8 < 2x+16x+5
8<18x+5
Subtract 5 from each side
8-5 < 18x+5-5
3<18x
Divide by 18
3/18 <18x/18
1/6 <x
I think it migth be the first one
give me brainlieSt
it is 1/6
Can someone explain this / answer, Its a picture
Answer:
option c is the correct answer (l=1 cm and w=42cm)
Step-by-step explanation:
length(l) = 1.00cm
width(w)= 42.00 cm
ACCORDING TO FORMULA
Area of rectangle = l×w
=1 cm × 42 cm
= 42cm^2
order the following expressions by their values from least to greatest
The area of a square of side X is 8. What's the area of a square of side 3x
Answer:
Step-by-step explanation:
We know, for square
[tex](side)^2=(Area)\\=>X^2=8\\[/tex]
∴[tex]X=2\sqrt{2}[/tex] unit
[tex]Now, Side=3X[/tex]
[tex]Then,Area=(3X)^2=(3*2\sqrt{2} )^2=(6\sqrt{2} )^2=72 sq. unit[/tex]
hope you have understood this...
pls mark my answer as the brainliest
The area of square of side 3X is 72 square unit.
What is square?The square is a 4 sided figure, each side of the square is equal and make a right angle.
The area of square having sided a unit can be given by a² square unit.
Given that,
Area of square having side X is 8.
Since, formula for area of square having side X is X².
Implies that,
X² = 8
X = 2√2
The area of square having side 3X
side =3 × 2√2
side = 6√2
The area of square = (6√2)²
= 36 x 2
= 72
The area of square is 72 square unit.
To know more about Square on:
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