Answer:
7 1/2
Step-by-step explanation:
To find the quotient, convert the mixed number to an improper fraction first
Find the quotient now
Simplify
Divide by both numerator and denominator
Convert to a mixed number
Analyze the diagram below and complete the instructions that follow.
3
3
4
45°
h
x
Find the value of x and the value of y.
A X= 4, y = 8
B. x = 7, y = 42
C. x = 413, y = 7/2
D. -73.7=42
Answer:
B) x = 7, y = 4√2
Step-by-step explanation:
Drop a line from the upper left vertex
This creates a rectangle with a bottom side of 3
and an isosceles right triangle with legs of 4
Therefor
x = 4 + 3
x = 7
y = √(4² + 4²)
y = 4√2
The values of x and y from figure are 7 and 4√2 respectively, option B is correct.
When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.
We have to find the values of x and y.
Sine function is a ratio of opposite side and hypotenuse.
sin45=4/y
1/√2 = 4/y
Apply cross multiplication:
y=4√2.
Now let us find the value of x by cosine function.
Cosine is a ratio of adjacent side and hypotenuse.
cos 45 =x/y
1/√2 = x/4√2
Apply cross multiplication:
x=4
Now from diagram x=4+3 =7
Hence, the values of x and y from figure are 7 and 4√2 respectively.
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Latoya is a software saleswoman. Let represent her total pay (in dollars). Let represent the number of copies of English is Fun she sells. Suppose that and are related by the equation . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in Latoya's total pay for each copy of English is Fun she sells
Answer:
The answer is "$80".
Step-by-step explanation:
Please see the attached file for the whole question.
Yolanda's total pay y changes for each 'English is fun' sold x, i.e.
[tex]\frac{\delta y}{\delta x} = \frac{dy}{dx} \\\\y = 1900+80 x[/tex]
separating the above equation:
[tex]\frac{dy}{dx}= 80[/tex]
Therefore,
[tex]\frac{dy}{dx} = \$80[/tex]
For each 'English is enjoyable' sold x, the change in Yolanda total compensation y is [tex]\$80[/tex].
M and n are both integers. Select all the statements that are true if m and n are also equal to each other.
The question is incomplete. The complete question is :
M and n are both integers. Select all the statements that are true if m and n are also equal to each other.
A. m - n = n - m
B. 0 = m - n
C. m + (-n) = m - n
D. m + n = 0
Answer :
A. m - n = n - m
B. 0 = m - n
C. m + (-n) = m - n
Explanation :
It is given that m and n are integers and they both are equal to each other.
i.e. m = n
Therefore for option (A),
m - n = n - m
m - m = m - m (since m and n are equal)
0 = 0
Therefore, the statement (A) is true.
For option (B),
0 = m - n
0 = m - m (since m and n are equal)
0 = 0
Therefore, the statement (B) is true.
For option (C),
m + (-n) = m - n
m + (-m) = m - m (since m and n are equal)
m - m = m - m
0 = 0
Therefore, the statement (C) is true.
Now for option (D),
m + n = 0
m + m ≠ 0 (since m and n are equal)
2m ≠ 0
Therefore, the statement (D) is false.
Hence, the options (A), (B) and (C) are true.
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
C
Step-by-step explanation:
Given
3[tex](x+9)^{\frac{3}{4} }[/tex] = 24 ( divide both sides by 3 )
[tex](x+9)^{\frac{3}{4} }[/tex] = 8
Raise both sides to the power of [tex]\frac{4}{3}[/tex]
x + 9 = [tex]8^{\frac{4}{3} }[/tex] = [tex](\sqrt[3]{8}) ^{4}[/tex] = [tex]2^{4}[/tex] = 16 ( subtract 9 from both sides )
x = 7 → C
Please answer the question below
Answer:
320
Step-by-step explanation:
(2 / 50) * 8000 = 320
Answer:
320
Step-by-step explanation:
If sin x = 1/4
and pi < x < 3pi/2 , find tan x exactly
Answer:
[tex] \sin(x) = \frac{1}{4} \\ { \sin }^{2} x = \frac{1}{16} \\ { \cos } x = \sqrt{1 - { \sin }^{2}x } \\ \cos(x) = \sqrt{1 - \frac{1}{16} } \\ \cos(x) = \sqrt{ \frac{15}{16} } \\ \tan(x) = \frac{ \sin(x) }{ \cos(x) } \\ \tan(x) = \frac{ \frac{1}{4} }{ \sqrt{ \frac{15}{16} } } \\ \tan(x) = 0.258[/tex]
The exact value of tan x is,
⇒ tan x = - 1/√15
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
First, we can use the fact that sin x = 1/4 to find the value of cos x.
We know that;
sin²x + cos²x = 1,
cos²x = 1 - sin²x
cos²x = 1 - (1/4)²
cos²x = 1 - 1/16
cos x = ±√(15/16)
But since we know that x is in the third quadrant , we know that cos x is negative.
Therefore, we can take:
cos x = -√(15/1`6)
Now we can use the fact that;
tan x = sin x / cos x
tan x = sin x / cos x
tan x = (1/4) / (-√(15/16))
tan x = - (1/4) * (4/√15)
tan x = - 1/√15
So, the exact value of tan x is,
⇒ tan x = - 1/√15
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The Thomson family spends money each month on the expenses shown.
Drag each expense to show whether it is a fixed expense, a variable expense, or if it is neither of these from month to month.
Let m angle A = 40°. If angle B is a complement of angle A, and angle C is a supplement of angle B, what is m angle B+m angle C? A 60° B. 150° C. 180° D. 210°
Find the value of x.
[tex]\huge\bold{Given :}[/tex]
Angle AOD = [tex]x[/tex] - 10°
Angle DOC = 3[tex]x[/tex] + 25°
Angle BOC = [tex]x[/tex] + 5°
[tex]\huge\bold{To\:find :}[/tex]
The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:value\:of\:x\:is\:32°}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
➪ ∠ AOD + ∠ DOC + ∠ BOC = 180°
➪ [tex]x[/tex] - 10° + 3[tex]x[/tex] + 25° + [tex]x[/tex] + 5° = 180°
Combining like terms, we have
➪ 5[tex]x[/tex] + 20° = 180°
➪ 5[tex]x[/tex] = 180° - 20°
➪ 5[tex]x[/tex] = 160°
➪ [tex]x[/tex] = [tex]\frac{160}{5}[/tex]
➪ [tex]x[/tex] = 32°
Therefore, the value of [tex]x[/tex] is 32°.
Now,
I) ∠ AOD = [tex]x[/tex] - 10° = 32° - 10° = 22°
2) ∠ DOC = 3[tex]x[/tex] + 25° = 3 x 32° +25° = 96° + 25° = 121°
3) ∠ BOC = [tex]x[/tex] + 5° = 32° + 5° = 37°
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ AOD + ∠ DOC + ∠ BOC = 180°
✒ 22° + 121° + 37° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Help me now please i want to finish this today so I can finish summer school
same i pass im at like 70% Step-by-step explanation:
A right-angled triangle D E F, angle E marked right angle, side E F labeled 7, side D E labeled 24 and hypotenuse D F labeled 25.
Answer:
Ya está resuelto ya
Step-by-step explanation:
9. Rachel wants to draw a triangle with
sides of length 4 cm and 5 cm. What is
a possible length of the third side?
I think its 6 cm for the 3rd side
identify one solution for this graph
What are the coordinates?
Answer:
J - (0, 4) K - (2, 3) L - (3, 4) M - (4, 1) N - (1, 2)
Step-by-step explanation:
So, the first number, is the value on the x axis, The second number, is the value on the y axis.
So lets look at each point. J is at 0 on the x axis, and 4 on the y axis.
K is at 2 on the x axis, and 3 on the y axis.
L is at 3 on the x axis, and 4 on the y axis.
M is at 4 on the x axis, and 1 on the y axis.
Finally, n is at 1 on the x axis, and 2 on the y axis.
Since we write coordinates as (x, y):
K is (2, 3)
L is (3, 4)
M is (4, 1)
N is (1, 2)
Hope this helps!
A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What function estimates the height, H, in cm of the ping pong ball after x bounces?
Enter a number in each blank to correctly complete the function.
H = BLANK(BLANK)^x
Answer:
H = 60(3/4)^x
Step-by-step explanation:
After each bounce, the height it reach is 3/4 the previous one.
Let the height of nth bounce be denoted as h_n and the first bounce is h_1.
We are given that h_1 = 60 cm. Following the rule in the problem, we get:
h_2 = (3/4)h_1 = (3/4)60
h_3 = (3/4)h_2 = (3/4)*(3/4)60 = 60(3/4)^2
h_4 = (3/4)h_3 = (3/4)*60(3/4)^2= 60(3/4)^3
We see that h_n = 60(3/4)^n is the formula for the height for the nth bounce. Therefore, H = 60(3/4)^x is the answer.
I hope this helps! :)
What is the sum of 3/10 and 1/3
Answer:
19/30
Step-by-step explanation:
3/10 + 1/3
Get a common denominator of 30
3/10 * 3/3 + 1/3 * 10/10
9/30 + 10/30
19/30
Answer:
19 / 13
Step-by-step explanation:
➟ 3 / 10 + 1 / 3
➟ 3 / 10 × 3/3 + 1 /3 × 10 /10
➟ 3 × 3 / 10 × 3 + 1 × 10 / 3 × 10
➟ 9 / 30 + 10 / 30
➟ 9 + 10 / 30
➟ 19 / 30
Find three consecutive odd integers where the sum of the first two numbers multiplied by the last number is 3116.
a. -42, -44, - 46
b. None of these.
c. 37, 39, 41
d. 42, 44, 46
e. 33, 35, 37
I will give brainiest
Answer:
I think is letter B
Step-by-step explanation:
Because I already answer that and my answer is letter B...trust me
What is the constant of the expression:
3n2 +4
Answer:
the constant is 4 because you always add 4 and it stays 4 no matter what you do to the equation
Step-by-step explanation:
Answer:
It is 4
Step-by-step explanation:
more help srry if its annoying
Answer:
4^5
4 by the power of 5
Step-by-step explanation:
4 times the amount of 4's
4 times 5 does not equal 4^5 and is not the answer
it is 4 by the power of 5
Help!! YEEEEEEEEEEEEEEEEEET
Answer:
Step-by-step explanation:
Degree of quadratic equation is 2
So, y = (x + 2)² - 6 ; y = x² - 4x + 2 & y = -(x -2)² + 5 are quadratic equation
(a + b)² = a² + 2ab + b²
y = (x + 2)² - 6
y = x² + 2*x*2 + 2² -6
y= x² + 4x + 4 -6
y= x² + 4x - 2
Degree = 2
y = -(x - 2)² + 5
y = -[ x² - 2*x*2 + 2²] + 5
y = -[x² - 4x + 4)+5
y = -x² + 4x - 4 + 5
y = -x² + 4x + 1
Degree = 2
Segment & Angle Addition Test
the rationalising factor of 3 root + 2 is
Answer:
Rationalization factor of √2 + √3 is √2 - √3.
Trust me mark me as brainliest
Write as an equation in two variables: k(x) = -4x-1
Answer:
y = -4x - 1
Step-by-step explanation:
k(x) = -4x - 1
replace k(x) with y
y = -4x - 1
Answer:
y = -4x - 1
Step-by-step explanation:
What is the value of logb(A^5C^2/D^6)?
A. There isn't enough information to answer the question.
Hope this helps! :)
Answer:
The answer would be -11
Step-by-step explanation:
You would put each value for each variable, then proceed to graph the logarithm! :)
The equation of the trend line is y = -0.36x + 12.6.
Use the equation of the trend line to predict the wind chill for a wind speed of 49 mi/h. Round your
answer to the nearest degree.
The wind chill at 49 mi/h is
°F.
Answer:
The answer is -5.04. I didn't get the last part of the question but this is the answer
please help me u guys!!
9. Find the square root of the following numbers correct to two places of decimal:
a) 0.001
b) 7.01
c) 1.31
with steps pls send
thanks
Answer:
a ) 0.03
b) 2.64
c) 1.14
Step-by-step explanation:
Given :
a) 0.001
Now need to find square root of 0.001
[tex]\sqrt{0.001} =0.03[/tex]
Similarly
b)
[tex]\sqrt{7.01} =2.64[/tex]
c)
[tex]\sqrt{1.31} =1.14[/tex]
Therefore, answer will be :
a ) 0.03
b) 2.64
c) 1.14
Answer: a. 0.03, b. 2.65 c. 1.14
Step-by-step explanation:
You can't find the square root of these manually, so I used a calculator to solve
Any help will be greatly appreciated thanks
Answer:
2
Step-by-step explanation:
There are 4 x's at 1 mile so he took 4 1 mile hikes
There are 2 x's at 1 1/4 mile so he took 2 1 1/4 mile hikes
We want to know how many more 1 mile hikes than 1 1/4 mile hikes
4 -2 = 2
Explain how to determine the zeros of f(x)= (x+3)(x-2)(x-6)
Answer:
The zeros of f(x) are -3, 2 , 6
Step-by-step explanation:
f(x) is a polynomial of degree 3.
If the polynomial is not factorized we will either factorize to find the zero or use trial and error method.
Since the f(x) in the question is in the factorized form. we will have to equate each factor to zero.
f(x) = (x+3)(x-2)(x-6)
x + 3 = 0 => x = -3
x - 2 = 0 => x = 2
x - 6 = 0 => x = 6