Answer:
Step-by-step explanation:
2 tan(60) = 2 * (sqrt(3)/2 = sqrt(3)
1 + tan^2(60) = 1/cos^2(60) = 1//1/4 = 4
The answer is going to look a little convoluted but it should be correct.
The answer so far is sqrt(3) /4
sin(60) = sqrt(3)/2
of the 4, two is needed to get sqrt(3)/2
So far then we have sin(60)/2
If we multiply by 2 as in (sin(60)/2) we get just sin(60)
2* sqrt(3) /4 then = 2 sin(60)
John’s bank is overdrawn. After he makes a $120 deposit, John sees that his account still is overdrawn by $75. So what was John’s balance before making his deposit?
Answer:
John's balance before making the deposit is -$195.
Step-by-step explanation:
Let us assume that John's bank balance is $X.
Now,
John makes a deposit of $120 and still, he is overdrawn by $75.
Therefore,
[tex]\begin{aligned}\rm{\$X} + \rm{\$120} &= -\rm{\$75}\\X&=-\$195\end{aligned}[/tex]
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Need help with number 5 ASAP.
Answer:
A) ahead 1 space
Step-by-step explanation:
2-3 = -1
-1-2 = -3
-3+4= 1
The 100th term of the pattern : 5 , 9 ,13 , 17.
Answer:
Tn=4n+1
4(100)+1
400+1
=401
The vertices of a triangle are P(-4,-3), Q(-2,3), and R(7,3). Name the vertices of the image reflected across the line y = x. * Your answer ansler
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
P (- 4, - 3 ) → P' (- 3, - 4 )
Q (- 2, 3 ) → Q' (3, - 2 )
R (7, 3 ) → R' (3, 7 )
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)
PLSSSSS HELPPPPP ASAPPP
Answer:
]-3,7[
Step-by-step explanation:
the domain is from -3 to 7
Help me out please thank you lol
Answer:
False
Step-by-step explanation:
3(5 - 2x) = 3(2x) - 3(5)
~Simplify
15 - 6x = 6x - 15
~Reorder
15 - 6x = -15 + 6x
As you can see, they are not the same so false.
Best of Luck!
Answer:
False
15-6x doesn't equal to6x-15
From the slope (m) and the y-intercept (b), write the equation of the
line: m = -4; b = 5
Answer:
Step-by-step explanation:
The formula for the y-intecept form is [tex]y=mx+b[/tex]
Plugin the m and the b we have
[tex]y=-4x+5[/tex]
Answer:
y=-4x+5
Step-by-step explanation:
NEED HELP ASAP. I don not understand why I'm wrong. What is the right answer???
Answer:
Answer: 35/18
Step-by-step explanation:
[tex] \frac{ \{ \frac{3}{4} - \frac{5}{2} \} }{ \{ \frac{3}{5} - \frac{3}{2} \}} = \frac{( - \frac{7}{4} )}{ (- \frac{9}{10} )} \\ \\ = \frac{7}{4} \div \frac{9}{10} [/tex]
use the reciprocal of 9/10 :
[tex] = \frac{7}{4} \times \frac{10}{9} \\ \\ = \frac{35}{18} [/tex]
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Simplify [tex]\huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ [/tex][tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ [/tex]
The least common multiple of 4 and 2 is 4. Convert [tex]\sf\frac{3}{4} [/tex]and [tex]\sf\frac{5}{2} [/tex]to fractions with denominator 4.[tex] \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
Because [tex]\sf\frac{3}{4} [/tex]and [tex]\sf \frac{10}{4}[/tex] have the same denominator, subtract them by subtracting their numerators.[tex] \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
Subtract 10 from 3 to get -7.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
The least common multiple of 5 and 2 is 10. Convert [tex]\sf\frac{3}{5}[/tex] and [tex]\sf \frac{3}{2}[/tex] to fractions with denominator 10.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ [/tex]
Because [tex]\sf \frac{6}{10}[/tex] and [tex]\sf \frac{15}{10}[/tex] have the same denominator, subtract them by subtracting their numerators.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ [/tex]
Subtract 15 from 6 to get -9.[tex] \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ [/tex]
Divide [tex]\sf-\frac{7}{4}[/tex] by [tex]\sf-\frac{9}{10}[/tex] by multiplying [tex]\sf-\frac{7}{4}[/tex] by the reciprocal of [tex]\sf-\frac{9}{10}[/tex].[tex] \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) [/tex]
Multiply [tex]\sf-\frac{7}{4}[/tex] by [tex]\sf-\frac{10}{9}[/tex] by multiplying the numerator by the numerator and the denominator by the denominator.[tex] \huge \sf\frac{-7\left(-10\right)}{4\times 9} [/tex]
Carry out the multiplications in the fraction [tex]\sf\frac{-7\left(-10\right)}{4\times 9}[/tex].[tex] \huge \sf\frac{70}{36} [/tex]
Reduce the fraction [tex]\sf\frac{70}{36}[/tex] to its lowest terms by extracting and cancelling out 2.[tex] \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}[/tex]
A bag contains 8 purple beads 2 blue beads and 2 pink beads. The probability of randomly drawing a pink beads is 1/6 . What is the probability of not drawing a pink bead
The probability of. Or picking pink would be 1 - the probability of picking pink:
1 - 1/6 = 5/6
Answer: 5/6
Tyler tried to solve an equation step by step.
1st one to answer and get it right will mark briniest
Answer:
Tyler didn't make any mistake
This is correct method
Answer:
D. Tyler did not make a mistake
Step-by-step explanation:
:)
i need help algebra
Answer:
A. the slope value is 1/4
B. 0
C. y = 1/4x
Step-by-step explanation:
A: the slope can be calculated with the formula
[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]
m is the slope
(x1, y1) is your first coordinate point (any point will work)
(x2, y2) is your second coordinate point (any point will work)
Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - 0}{4 - 0} = \frac{1}{4} [/tex]
B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.
C:
the equation of the graph is y = mx + b.
m is the slope = 1/4
b is the y-intercept = 0
Therefore the equation is y = 1/4x
HELP DUE IN 10 MINUTES!!
Solve for x.
−2(4x+4) - 3x - 2 = 34
Answer:
[tex] - 2(4x + 4) - 3x - 2 = 34 \\ \\ - 8x - 8 - 3x - 2 = 34 \\ \\ - 8x - 3x = 34 + 8 + 2 \\ \\ - 11x = 34 + 8 + 2 \\ \\ - 11x = 44 \\ \\ x = - \frac{44}{11} \\ \\ x = - 4[/tex]
Answer:
[tex]−2(4x+4) - 3x - 2 = 34 \\ - 8x - 8 - 3x - 2 = 34 \\ - 11x - 10 = 34 \\ - 11x = 34 + 10 \\ - 11x = 44 \\ \frac{ - 11x}{ - 11} = \frac{ - 44}{ - 11} \\ x = -4 [/tex]
For a project in her Geometry class, Madelyn uses a mirror on the ground to measure
the height of her school's flagpole. She walks a distance of 8.75 meters from her
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the flagpole clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.
1.65 m
1.
1.7 m
-8.75 m
An image is always formed at the back of a mirror. Thus, the appropriate option is D. -8.75 m. The flagpole is 8.75 m tall.
Let the angle of depression from Madelyn's point of view be represented by θ. Then applying the required trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{1.65}{1.7}[/tex]
Tan θ = 0.9706
θ = [tex]Tan^{-1}[/tex] 0.9706
= [tex]44.2^{o}[/tex]
θ = [tex]44.2^{o}[/tex]
Let the height of the flag be represented by h. And for a given mirror, the angle of incidence is equal to that of reflection. Then;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{h}{8.75}[/tex]
0.9706 = [tex]\frac{h}{8.75}[/tex]
h = 0.9706 x 8.75
= 8.49275
h = 8.5 m
Since the image is formed at the back of the mirror, then the flagpole is 8.5 m.
Therefore the appropriate answer is option D. -8.75 m
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Answer:
10.77
Step-by-step explanation:
i did it
10. In a 2 hour Mathematics paper, there are
20 questions to be answered by Yao. After
1 hour he had answered 5 questions.
b) What fraction of the time had gone?
Answer:
1/2
Step-by-step explanation:
1 hour=60 minutes
2 hours=120 minutes
60/120=1/2
hope you got it
If you have any problem just ask me
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After 1 hour, Yao had completed 25% (1/4) of the 2-hour Mathematics paper.
In order to understand the fraction of time Yao had spent on the Mathematics paper after 1 hour, let's break down the problem. Yao was given a 2-hour Mathematics paper to complete, and he answered 5 questions in the first hour.
Now, let's calculate the fraction of time that had passed. To do this, we can set up a ratio of the time Yao had spent to the total time available. The time Yao spent is 1 hour, and the total time available is 2 hours. So the fraction of time that had gone can be represented as:
= Time spent / Total time
= 1 hour / 2 hours
= 1/2
Therefore, after 1 hour, Yao had completed half of the allotted time. However, we are asked to express this fraction in terms of questions answered. Yao had answered 5 questions out of a total of 20 questions.
To express the fraction of time in terms of questions answered, we can set up another ratio. The questions Yao answered is 5, and the total number of questions is 20. So the fraction of time that had gone can be represented as:
= Questions answered / Total questions
= 5 questions / 20 questions
= 1/4
Hence, after 1 hour, Yao had completed 1/4 of the total questions in the Mathematics paper. This means he still had 3/4 (or 75%) of the questions to complete in the remaining hour.
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|x+4|= -6
Multiple choice
Answer:
A. No solution.
Step-by-step explanation:
Absolute values can never be negative. So there is no value of "x" that can make the absolute value negative.
f(x) = −x + 5 with domain [−3, 2] What is the range
how do you solve x/4+7=-2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
How do you solve x/4+7 = -2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]
Multiply both sides of the equation by 4.[tex] \large \sf \: x+28=-8 [/tex]
Subtract 28 from both sides.[tex] \large \sf \: x=-8-28 [/tex]
Subtract 28 from -8 to get -36.[tex] \large \boxed{ \bf \: x=-36 }[/tex]
aye sumone help me right quick
hey guys need help again
Answer:
Coordinates = (-6,-4)
Step-by-step explanation:
Move the point 4 units to the LEFT
Then move the point 6 units DOWN
It should be like the picture I attached
If my answer is incorrect, pls correct me!
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-Chetan K
Can y’all please help me asappp.!!!
Answer:
See below.
Step-by-step explanation:
Substitute the values for x.
h(-5) = 4(-5) - 5 = -25
h(-1) = 4(-1) - 5 = -9
h(2) = 4(2) - 5 = 3
h(3) = 4(3) - 5 = 7
h(5) = 4(5) - 5 = 15
What are two fractions equivalent to 9/16
Answer:
18/32
27/48
Step-by-step explanation:
Hope that helps
Rita and Abdul each opened a savings account today. Rita opened her account with a starting amount of $140, and she is going to put in $60 per month. Abdul opened his account with no starting amount, and he is going to put in $80 per month. Let x be the number of months after today
Answer:
60×8 = 480 + 140 = 620
80×8 = 640
Superman bought two leggings for $25.80 each at KryptonCromie. How much did he spend?
Answer:
51.6
Step-by-step explanation:
$25.80 + $25.80 =
OR
25.80 x 2.
Answer $51.6
Step-by-step explanation:
because 25.80+25.80 is...$51.6
Shelby's dad bought 0.98
pounds of bacon. What is
this decimal as a fraction,
in lowest terms.
Answer:
[tex]\frac{49}{50}[/tex]
Step-by-step explanation:
First, divide it by 100.
[tex]\frac{98}{100}[/tex]
Then, simplify. (They both can be divided by 2 since it is their GCF)
[tex]\frac{49}{50}[/tex]
Answer: [tex]\frac{49}{50}[/tex]
Which expression is equivalent to 3x(bx+10−(x2−5x+c)
A
(3b−1)x2−5x+10+c
B
−x2+(3b+35)x−c
C
−3bx2+25x+c
D
(3b−1)x2+35x−c
Answer:
Step-by-step explanation:
Translate the following verbal expressions into
algebraic expressions:
16 increased by 4 times a number
Three times the difference of x and 8
3 less than the product of 5 and y
Answer:
16 + 4n
3(x - 8)
(5 × y) - 3
Step-by-step explanation:
16 increased by 4 times a number:
16 + 4n
Three times the difference of x and 8:
3(x - 8)
3 less than the product of 5 and y:
(5 × y) - 3
Help geometry need help
One of the two equal factors of a number is a _______?
Answer:
A square root
Step-by-step explanation:
A square root is one of two equal factors of a number.
Multi-Step Two friends compare the amount of change they
have in their pockets. Ashley has 12 nickels, 2 dimes, and
4 quarters. Beto has 10 nickels, 4 dimes, and 3 quarters.
Who has more money?
Answer:
Ashley
Step-by-step explanation:
Ashley:
12n (n=5) = 60+2u (u=10)=80
4 quarters equal a dollar
$1.80
Beto:
10n (n=5)= 50+ 4u (u=10) = 90
3 quarters equal .75
$1.65
