Answer:
Theta = 37.9 degrees
AC = 11.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan theta = 7/9
tan ^ -1 tan theta = tan ^-1 (7/9)
theta =37.87498
To 1 decimal place
Theta = 37.9 degrees
We use the Pythagorean theorem to find AC
a^2 + b^2 = c^2
7^2 + 9^2 = AC^2
49+81 = AC^2
130 = AC^2
Taking the square root of each side
sqrt(130) = sqrt(AC^2)
AC = 11.40175
Rounding to 1 decimal place
AC = 11.4
solve for w: 7w < -56
Lets solve
[tex]\\ \sf\longmapsto 7w<-56[/tex]
Take 7 to right side[tex]\\ \sf\longmapsto w<dfrac{-56}{7}[/tex]
Simplify[tex]\\ \sf\longmapsto w<-8[/tex]
Answer:
[tex]\boxed {\boxed {\sf w < -8}}[/tex]
Step-by-step explanation:
We are given an inequality and asked to solve for the variable w.
[tex]7w < -56[/tex]
In order to solve for w, we must isolate the variable. It is being multiplied by 7. The inverse of multiplication is division, so we divide both sides of the inequality by 7.
[tex]\frac {7w}{7} < \frac {-56}{7}[/tex]
[tex]w < \frac{-56}{7}[/tex]
[tex]w < -8[/tex]
w is less than -8 or w < -8.
Y and x have a proportional relationship, and y=4 when x=12
Answer:
multiply 4 by 12 okay bro
Answer:
y = [tex]\frac{1}{3}[/tex] x
Step-by-step explanation:
Given that y and x are proportional then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 4 when x = 12 , then
4 = 12k ( divide both sides by 12 )
k = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x ← equation of proportion
Question choices:
A: I, IV
B: II, III, IV
C: III, IV
D: II, III
0Answer:
A
Step-by-step explanation:
Find the zeros by letting y = 0 , that is
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Since the coefficient of the x² term (a) > 0
Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals
(-∞, - 2) and (3, ∞ ) → option A
divide 12by8 and 4by3
The tangent ration! helpp!!
Answer:
13.5
Step-by-step explanation:
Given
tan34° = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )
20 × tan34° = x , then
x ≈ 13.5 ( to the nearest tenth )
find the angle measures given the figure is a rhombus.
Answer:
92
Step-by-step explanation:
180-88
what does the rational form of the ratio a:b look like
Answer:
a/b
Step-by-step explanation:
The rational form of a:b or simply a/b is in the simplest form.
Answer:
Step-by-step explanation:
the answer is option 2 from the above sheet
can you do LCM in division method of 550,750,900 plzz
2 | 550,750,900
2 | 275,375,450
3 | 275,375,225
3 | 275,125,75
5 | 275,125,25
5 | 55,25,5
5 | 11,5,5
11 | 11,1,1
LCM:-2×2×3×3×5×5×5×11=49500
What is the value of a?
Answer:
90
Step-by-step explanation:
Use angle-arc relation,
For a and 45, Inscribed angle's relation can be utilized
Inscribed angle=Half the arc
45=1/2a
Therefore, a=90
draw two intersecting line segment AB and CD intersecting O. Measure the size of each pair of vertically opposite angles. Verify each pair of vertically opposite angles are equal.
When two line segments intersects, a set of vertically opposite angles are formed. So that by comparison of angles formed in the attachment, a set of vertically opposite angles formed are: >AOC and >BOD; then >AOD and >BOC.
A pair of vertically opposite angles are formed when two lines meet at a point. And the pair of vertically opposite angles formed are said to have equal size.
From the given question, line segment AB intersecting CD at point O would produce a set of vertically opposite angles. So that each pair has equal size.
From the attached diagram, it can be observed that;
m>AOC = m>BOC = m>AOD = m>BOD = [tex]90^{o}[/tex]
But;
m>AOC ≅ m>BOD = [tex]90^{o}[/tex] (vertically opposite angle property)
also,
m>AOD ≅ m>BOC = [tex]90^{o}[/tex] (vertically opposite angle property)
Therefore it can be verified that each pair of vertically opposite angles are equal.
NB: The required diagram to the question is herewith attached to this question for more clarifications and reference.
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The price of 5 kg of rice is ₹83.75. How many kilograms of rice can you buy for ₹670?
Answer:
40 kg
Step-by-step explanation:
[tex]\frac{5}{83.75} :\frac{y}{670}[/tex]
y · 83.75 = 5 · 670
83.75y = 3350
83.75y ÷ 83.75 = 3350 ÷ 83.75
y = 40
The amount of rice you can buy for ₹670 is given by the equation
A = 40 kilograms
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of rice for ₹670 be A
Now , the equation will be
The amount for 5 kg of rice = ₹ 83.75
So , the amount for 1 kg of rice = amount for 5 kg of rice / 5
The amount for 1 kg of rice = 83.75 / 5
The amount for 1 kg of rice = ₹ 16.75
So , the amount of rice for ₹ 670 = 670 / amount for 1 kg of rice
The amount of rice for ₹ 670 = 670 / 16.75
The amount of rice for ₹ 670 = 40 kilograms
Therefore , the value of A is 40 kilograms
Hence , the amount of rice is 40 kg
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Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
Answer:
Y=4X+2
Y=4X
4X/2
4*2+2=Y
Y=2
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
Please help hurry!
Find the lateral surface area of the instant oatmeal container. Round your answer to the nearest hundredth.
SA = in2
Answer:
≈ 145.23 in²Step-by-step explanation:
The lateral surface area is:
SA = 2πrh = 2*3.14*2.5*9.25 ≈ 145.23 in²[tex]\\ \tt\longmapsto SA=2\pi rh[[/te]
[tex]\\ \tt\longmapsto SA=2\times 22}{7}\times (2.5)(9.25)[/tex]
[tex]\\ \tt\longmapsto SA=145.23in^2[/tex]
please help me
its urgent :)
Step-by-step explanation:
i Will help wit Shape A and Next Try to figure out Shape B
shape A Looks the Shape XY coordinate, which Horizontal & Vertical Line
Shape A Coordinate
X = 7, 8.5, 7,5, 7.5,
Y = 7, 7, 6.5 , 5
if you wanna to understand this coordinate between X & Y try plotting with Horizontal or Vertical Line at your Shape And you Would be Understanding about these coordinate meaning
whats the geometric means of 4 and 1/4
The gometric means G1, G2, G3, 1/4
help please help......
Answer:
[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]
Can anyone help me with this question
Answer:
60
Step-by-step explanation:
A significant figure means the most important (biggest) number.
As it just wants 1 significant figure, you count 1 to the right and round the 6 up.
Hope this helps :)
What is the value of the expression: 4+42 +22
Answer:
84
Step-by-step explanation:
[tex]4^3+4^2+2^2= 64+16+4=84[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{4^3 + 4^2 + 2^2}}[/tex]
[tex]\huge\boxed{\mathsf{4^3}}[/tex]
[tex]\huge\boxed{\mathsf{= 4 \times 4 \times 4}}[/tex]
[tex]\huge\boxed{\mathsf{= 16\times 4}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 64}}[/tex]
[tex]\huge\boxed{\mathsf{4^2}}[/tex]
[tex]\huge\boxed{\mathsf{= 4 \times 4}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 16}}[/tex]
[tex]\huge\boxed{\mathsf{2^2}}[/tex]
[tex]\huge\boxed{\mathsf{= 2 \times 2}}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 4}}[/tex]
[tex]\huge\boxed{\mathsf{= 64 + 16 + 4}}[/tex]
[tex]\huge\boxed{\mathsf{= 80 + 4}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 84}}[/tex]
[tex]\huge\boxed{\mathsf{Answer: 84}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Center (-1,5); passes through (-4,-6)
Answer:
what is the question
Step-by-step explanation:
Olivia is fixing her bicycle. She starts fixing it at 9:34 am and finishes at 1 pm. How much
time did she spend fixing her bicycle?
Answer:
3 hours 26 minutes
Step-by-step explanation:
26 minutes(9.34am to 10am)+3 hours(10am to 1pm)=3 hours 26 minutes
The total time that she spend fixing her bicycle is 3 hr 26 minutes
Calculating total timeGiven the following parameters
Time that Olivia starts fixing bicycle= 9:34 am
Time she finishes = 1pm
The total number of hours spent from 9:34am and 12:34pm is 3 hrs. The remaining minutes to 1 pm is 26 minutes.
Hence the total time that she spend fixing her bicycle is 3 hr 26 minutes
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Marlene's ratio of phone calls to text messages is 3 to 5.
If she makes 27 phone calls, how many texts does she
send?
Phone calls to texts is 3 to 5, so for every 3 phone calls she makes 5 texts:
Divide total phone calls by 3:
27/3 = 9
Multiply that by text ratio:
9 x 5 = 45
She sent 45 texts.
PLEASE HELP ASAP PLEASE!!!!!!!
Find the measure of GE.
A. 20
B. 14
C. 15
D. 16
CAN ANYONE PLEASE EXPLAIN TO ME WHAT ON EARTH THIS MEANS
the work that you're required to do has to contain all three requirements in order to earn the maximum number of points, and it also has to be creative (meaning no copying other people's work)
What are the root(s) of the quadratic equation whose related function is graphed below?
Answer:
0 and 4
Step-by-step explanation:
roots are where the graph intersects at x axis
The roots of the quadratic equation whose related function is graphed are 0 and 4, the correct option is C.
What is the quadratic equation?A quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
If b2 – 4ac > 0 roots are real and different. As the discriminant is >0 then the square root of it will not be imaginary. It has two cases.
If b2 – 4ac is a perfect square then roots are rational. As the discriminant is a perfect square, so we will have an integer as a square root of the discriminant. Hence, the roots are rational numbers.
The shape of the graph is a downward parabola on the positive x-axis therefore the roots of the graph are positive.
From the given option the roots of the equation are 0 and 4 both are positive.
Hence, the roots of the quadratic equation whose related function is graphed are 0 and 4.
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What is the circumference of the circle whose equation is (x − 9)2 + (y − 3)2 = 64?
Answer:
C = 16pi or ≈50.24 units
Step-by-step explanation:
(x − 9)^2 + (y − 3)^2 = 64
This equation is in the form
(x-h)^2 + (y-k)^2 = r^2
The radius is 8
The circumference is given by
C = 2*pi*r
C = 2*pi*8
C = 16 pi
Using 3.14 as an approximation for pi
C = 16(3.14)
C ≈50.24
hi pls help.you do not have to do all 3. just either one will be ok pls explain as well:) thank you
Answer:
[tex]{7a^{5}b^{5} c\\[/tex]
Step-by-step explanation:
[tex]\frac{28a^{8}b^{6} c^{3} }{4a^{3}bc^{2} }[/tex]
→ First look at the first term of each expression and see if they can be simplified, and they can
[tex]\frac{7a^{8}b^{6} c^{3} }{a^{3}bc^{2} }[/tex]
→ Now look at the a terms, since a larger one is at the top, you subtract
[tex]\frac{7a^{5}b^{6} c^{3} }{bc^{2} }[/tex]
→ Now simplify the b and c terms
[tex]{7a^{5}b^{5} c[/tex]
In this activity, you will create an equation for a function represented by a verbal description.
Vicky charged her phone’s battery to 100 percent. Then she took the phone off the charger. When her phone is off the charger, it loses 5 percent of its battery life every hour. What function models the percentage of battery life left in terms of the number of hours since Vicky took it off the charger?
What is the initial value of the function? Is it positive or negative? Explain your answer.
What is the function’s rate of change? Is it positive or negative? Explain your answer.
Answer:
1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.
2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.
Step-by-step explanation: I just did the tutorial right now i hope this helps
Answer:
part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.
part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.
part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.
part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.
part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.
Step-by-step explanation:
All edmentum answers :)
Help please and thank you
Answer:
x = y² - 7
Step-by-step explanation:
the inverse function is simply an exchange of x and y (and then the simplification happens to transform the whole expression back into a form y = ....)
HELP ME WITH THIS PLS IM FAILING REALLY BAD ITS PYTHAGOREAN THEOREM
Answer:
50 km
Step-by-step explanation:
c = √a^2+b^2
=√30^2+40^2
= √900 + 1600
=√2500
= 50 km
Answer:
50km
Step-by-step explanation:
The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?
To obtain an estimate of a parameter of a population, we use confidence intervals.
Confidence intervals:
The larger the sample size, the closest the parameter estimate is to the value of the population, as the margin of error of confidence intervals is inversely proportional to the sample size, that is, a greater sample leads to a smaller margin of error.
Thus, you should select the highest sample size in the options.
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