Answer:
4:14 2:7 8:28
Step-by-step explanation:
The value of
Arc sin(1/2) + Arc tan(1) is
Answer:
75°Step-by-step explanation:
We know that:
sin 30° = 1/2, therefore arcsin (1/2) = 30°tan 45° = 1, therefore arctan (1) = 45°So the value of the expression is:
arcsin (1/2) + arctan (1) = 30° + 45° = 75°Answer:
75°
Step-by-step explanation:
Recall the common trigonometric angles:
\(\sin 30^{\circ}=\dfrac{1}{2}\)
\(\tan 45^{\circ}=1\)
Arcsin is the inverse of sin.
Arctan is the inverse of tan.
\(\implies \arcsin \left(\dfrac{1}{2}\right)=30^{\circ}\)
\(\implies \arctan (1) = 45^{\circ}\)
Therefore:
\(\implies \arcsin \left(\dfrac{1}{2}\right)+\arctan (1) = 30^{\circ}+ 45^{\circ}=75^{\circ}\)
repede,va rog frumos am nevoie de el
Answer:
nuj coae chineza csf
Step-by-step explanation:
csf
~Help me with this please! I will mark as BRANLIEST and if you answer correctly there would be a 55 point question for you!!!
Answer:
Simply here we use system of 2 equations.
Step-by-step explanation:
Let x be the cost of one small shirt and let y be that of one large shirt.
(4x +14y =210) (-3)
12x +11y =110
-12x - 42y= -630 note:cross 12x and - 12x
12x +11y =110
__________
-42y +11y = - 630 +110
-31y = -520
Y=520/31
Replace y in second equation:
12x +11y =110
12x +11(520/31) =110
12x +5720 =110
12x =110 - 5720/31
X= - 385/62
So one small shirt costs - 385/62 $
And a large one costs 520/31 $
Though I think there's something wrong in this problem since i verified my answer using calculator the same prices are obtained and as u see the cost of a small shirt is negative which is unbelievable.. So plz make sure from anyone else. I tried my best to help.
A carpenter has a box of nails of various
different lengths. You decide to practice your
weighted averaging skills to figure out the
average length of a nail in the box. You grab
two handfuls of nails and count out the
number of each type of nail. You record your
data in the table below.
Sample
Type
Short nail
Medium nail
Long nall
Number
of Nails
67
18
10
Abundance
(%)
[7]
Nail Length
(cm)
2.5
5.0
7.5
What is the percent abundance of the
medium nails in your sample?
Med Nail % Abund.
Enter
According to the question the percent abundance of the medium nails in the sample is approximately 18.95%.
Explain medium?Whenever the set of data is presented from least to largest, the median is indeed the number in the middle. For instance, since 8 is in the middle, this would represent the median value here.
To find the percent abundance of the medium nails in the sample, we first need to calculate the total number of nails in the sample:
Total number of nails = 67 + 18 + 10 = 95
Next, we can calculate the percent abundance of the medium nails using the formula:
Percent abundance = (number of medium nails / total number of nails) x 100%
Using the values from of the table as inputs, we obtain:
Percent abundance of medium nails = (18 / 95) x 100% ≈ 18.95%
As a result, the sample's average percentage of medium nails is roughly 18.95%.
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Anna built a prism in the shape of a cube out of wood
The volume of the two prisms compares that the volume of prism B will double.
We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:
V = B x h
So, the volume of the two prism A= V = B x h
V = 18 x h = 18h
the volume of the two prism B= V = B x h
V = 18 x 2h = 36h
So, the volume of prism B will double thus the correct option is B.
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The complete question is;
Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
How does the volume of the two prisms compare?
The volume of prism B will triple.
The volume of prism B will double.
The volume of prism B will decrease.
The volume of prism B will be cut in half.
The equation of a circle is:
(x-2)^2 + (y+4)^2 = 25
Part A:
Determine the center and the radius of the circle.
...is this correct?
The requried center and radius of the given circle are (2, -4) and 5.
The standard equation of a circle is given as,
(x - h)² + (y - k)² = r²
Where, (h, k) is the center of the circles and r is the radius of the circle,
The equation of the given circle is,
(x - 2)² + (y + 4)² = 25
Comparing the above equation with the standard equation we have,
(h, k) = (2, -4)
r² = 5²; r =5
Thus, the requried center and radius of the given circle is (2, -4) and 5.
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Dado cot B = 0.57736, determina la medida del ángulo B.
The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.
What is a angle measure?An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.
To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.
The tangent of an angle is the ratio of the opposite side to the adjacent side,
So cot B = adjacent side / opposite side.
By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation
B = arctan(cot B).
Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,
B = arctan(cot B) = 56.31° (rounded to two decimal places)
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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".
Mr. Martinez is comparing the prices of oranges from several different markets. Determine whether each market uses proportional or nonproportional pricing. Place a checkmark in the column for the correct type of relationship.
Answer:
ms montesino
Step-by-step explanation:
yes
A circle of radius 16 units is divided into 8 congruent slices.
What is the arc length of each slice?
4π units
3π units
2π units
π units
Answer:
4π
Step-by-step explanation:
Circumference = π X D (D = diameter = 2 X radius).
Diameter = 32.
Circumference = π (32) = 32π.
Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.
Calculate the volume
Please show the steps....
Answer:
4,800
Step-by-step explanation: 6 times 5 times 8 times 20=4800 :D
Answer:
probably
Step-by-step explanation:
v = [20.(8+6)/2].5
v = 20.7.5
v = 700cm³ (that's a 3 btw)
If f2 + square root of 3 is a polynomial root, name another root of the polynomial, and explain how you
know it must also be a root
Answer:
Root 2 = 2 - root 3
Step-by-step explanation:
According to question
root 1 = 2 + root 3
and as we know
that two root of an equation are b + root 4ac / 2a and b - root 4ac
Thus
Another root
I hope this was helpful!
God Bless!
The length of a rectangle is 2 inches shorter than double the width. Which shows the correct algebraic expressions for the length and width of the rectangle?
Answer:
let Length = x
then width = x -2 (2 inches less than length
now
A = Lw
35 = x (x -2)
35 = x2 - 2x
x2 -2x -35 = 0
(x-7)(x+5) = 0
x-7=0
x=7
so length = 7
width = 7 -2 = 5
Hope this helps
Step-by-step explanation:
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
A. √2:2
B. √√3:√√3
C. √5:3
D. 1 √3
□ E. 1: √2
O F. 2:3
SUBMIT
Answer: E
Step-by-step explanation:
To what power do you have to raise:
a) 3 to get 27?
to
b) 2 to get 32?
CO
c) 5 to get 625?
d) 64 to get 8?
e) 81 to get 3?
f) 64 to get 2?
g) x² to get x??
h) x to get x12?
10
i) x to get xa?
Answer:
Step-by-step explanation:
a) 27 = 3 × 3 × 3 = 3³ Answer: 3
b) 32 = 2 × 2 × 2 × 2 × 2 = \(2^5\) Answer: 5
c) 625 = 5 × 5 × 5 × 5 = \(5^4\) Answer: 4
d) \(\sqrt{64} = 8 \) ⇒ \(64^{\frac{1}{2}} \) Answer: 1/2
e) \(\sqrt[4]{81}=3 \) ⇒ \(81^{\frac{1}{4}} \) Answer: 1/4
f) \(\sqrt[6]{64} =2\) ⇒ \(64^{\frac{1}{6} }\) Answer: 1/6
g) \((x^2)^{\frac{1}{2}}=x^1=x \) Answer: 1/2
h) \((x^3)^{4}=x^{12}\) Answer: 4
i) \((x)^8=x^8\) Answer: 8
Answer:
Step-by-step explanation:
Prime factorize 27,32,625,
a) 27 = 3 * 3 * 3 = 3³
b) 32 = 2 * 2 * 2 * 2 *2 = 2⁵
c) 625 = 5*5*5*5 = 5⁴
\(d) \sqrt{64}= (8^{2})^{\frac{1}{2}} = 8\\\\ e) \sqrt[4]{81}=\sqrt[4]{3*3*3*3}=(3^{4})^{\frac{1}{4}} = 3\\\\ f) \sqrt[6]{64}=\sqrt[6]{2*2*2*2*2*2}=(2^{6})^{\frac{1}{6}}=2\\\\ g)\sqrt{x^{2}}=(x^{2})^{\frac{1}{2}}=x\\\\ \)
\(h) x^{12} = x^{3*4}= (x^{3})^{4}\\\\ i)x^{8}=x^{1*8}=(x^{1})^{8}\)
What is the value of k
Consider line AB as shown in the graph. On a coordinate plane, a line passes through points (negative 3, 5), (0, 4) and (3, 3). Part A Determine the equation in slope-intercept form that defines line AB : Question 2 Part B Determine the equation in standard form that defines line AB : Question 3 Part C Explain how you determined your equations. Type in the box or use paper to show your work.
to get the equation of any straight line, we simply need two points off of it, hmmm let's use (-3 , 5) and (0 , 4)
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{(-3)}}} \implies \cfrac{-1}{0 +3} \implies \cfrac{ -1 }{ 3 } \implies - \cfrac{ 1 }{ 3 }\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{(-3)}) \implies y -5 = - \cfrac{ 1 }{ 3 } ( x +3)\)
\(y-5=- \cfrac{ 1 }{ 3 }x-1\implies y=- \cfrac{ 1 }{ 3 }x+4\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
now, for the standard form
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
\(y=- \cfrac{ 1 }{ 3 }x+4\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y)=3\left( - \cfrac{ 1 }{ 3 }x+4 \right)} \\\\\\ 3y=-x+12\implies x+3y=12\impliedby \textit{standard form}\)
On Saturday, Joanna had no money - so she moved her neighbors' yards and earned $45. She then treated herself to a $5 drink at Bahama Bucks a $4 pretzel at Auntie Anne's. Later that week, she received $10 from her grandparents to help buy school supplies, so she went to the dollar store and bought a pair of earbuds for $3. How much money does Joanna have left?
Answer: $43
Step-by-step explanation:
45
+1
-3
43
Solve for m.
m+15<−123
Responses
m>−11315
m is greater than negative 1 and 13 over 15
m>−1715
m is greater than negative 1 and 7 over 15
m<−1715
m is less than negative 1 and 7 over 15
m<−11315
and show work
The solution to the inequality is m < −1 13/15 . m is less than negative 1 and 7 over 15
How to solve for the inequalityIn this question we have to solve for the inequality that is given as m + 1/5 < -1 2/3
We would have to rewrite the equation using the math tool
\(m +\frac{1}{5}\leq 1\frac{2}{3}\)
The mixed fraction can be properly rewritten as improper fraction
\(m +\frac{1}{5}\leq \frac{5}{3}\)
subtract 1/5 from 5/3
\(m\leq -\frac{5}{3} -\frac{1}{5}\)
we have to carry out the subtraction of the fraction
\(m < \frac{-25-3}{15}\)
\(m < \frac{-28}{15}\)
This can be written in mixed fraction as
\(m < -1\frac{13}{15}\)
Hence the solution of m is D. m < −1 13/15
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Complete question
m + 1/5 < -1 2/3
Responses
A. m > −1 13/15
m is greater than negative 1 and 13 over 15
B. m > −1 7/15
m is greater than negative 1 and 7 over 15
C. m < −1 7/15
m is less than negative 1 and 7 over 15
D. m < −1 13/15
m is less than negative 1 and 7 over 15
how many times can 0.3 be found in 900
Answer:
How many times does 3 go into 900 you ask? Here we will explain two ways of looking at this problem to solve it.
"How many times does 3 go into 900?" is the same as asking "How much is 900 divided by 3?" Thus, the answer can be calculated as follows:
900/3 = 300
"How many times does 3 go into 900?" is also the same as asking "What (x) do you multiply by 3 to get 900?" We solve the problem with an easy algebra equation:
3(x) = 900
x = 300
Tip: When you get a question like "How many times does 3 go into 900?", just think of it as how many times you can fit 3 into 900.
The answer on this page is rounded to the nearest decimal if necessary.
Step-by-step explanation:
~Izuku Midoriya~
Consider rectangle EFGH. Prove EG is congruent to HF
Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and also apply the given metamorphoses. The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.
First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4). Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4). Combining these metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can compass a many points and also draw the graph by connecting them.
Let's start with the original graph of f( x) = | x| and apply the metamorphoses
For f( x) x = -3,-2,-1, 0, 1, 2, 3
f( x) = 3, 2, 1, 0, 1, 2, 3 For
g( x) = - f( x 4) x = -7,-6,-5,-4,-3,-2,-1
g( x) = -3,-2,-1, 0,-1,-2,-3
conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
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Here is a trapezium drawn on a centimetre grid (not drawn to scale).
Work out the area of the trapezium, stating the units of your answer.
Answer:
Step-by-step explanation:
equation
area(base1 + base2)
pls change this to decimal number 1011111 base 2
===========================================================
Explanation:
Check out the table below. Each 1 and 0 corresponds to a power of 2. A 1 indicates that we'll add on that power of 2 while a 0 means we ignore it. We will add up the items in the second row that correspond to a "1" in the first row.
We get:
2^6+2^4+2^3+2^2+2^1+2^0 = 64+16+8+4+2+1 = 95
Effectively, we add nearly everything in the second row except for the 2^5 term.
Therefore, the number 1011111 base 2 is equivalent to 95 base 10.
Sketch the plane representing -2x²=-8
I found this answer from Brainly.
Somebody else did this question.
**But it's not my answer**
I hope it's helpful and correct!!
Mike is buying dinner for his family. He buys 5 lemonades that each cost $1.50, and 5 hamburgers that each cost $8.25. If
the prices include tax, and he also leaves a $6 tip, how much does he spend in all? Write equations to show your work.
Write an equation for the cost of the lemonades. Select the correct choice below, and fill in the answer box to complete
your choice.
(Do not include the $ symbol in your answer.)
OA. 5x1.50 +6=
ETTE
OB. 1.50+5=
OC. 5x1.50 =
OD. 1.50+5+6=
The linear equation for the cost of lemonades is 1.50*x+6 where x=5 i.e. A and he spends $54.75 in total.
What is a linear equation ?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form
Ax + B = 0
e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.
The standard form of a linear equation in two variables is of the form
Ax + By = C
e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
Cost of lemonade=$1.5, number of lemonades=5
Cost of hamburger=$8.25, number of hamburgers=5
Tip=$6
Hence,
Total cost=5*1.5+5*8.25+6
Total cost =$54.75
Cost of lemonades only = 5*1.5+6
In type of linear equation 1.50*x+6 where x=5
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6. Meryll made a pancake with a circumference of 125.6 cm. What is its area? (A) 884 cm² (B) 1 256 cm² (C) 1 468 cm²
Answer:
(B) 1256 cm²---------------
Let the radius be r.
Use circumference formula and find the value of r:
C = 2πr125.6 = 2*3.14rr = 125.6/6.28r = 20Find the area using the circle area formula:
A = πr²A = 3.14*20²A = 1256The matching choice is (B).
Answer:
Step-by-step explanation:
Profit Function for Producing Thermometers The Mexican subsidiary of ThermoMaster manufactures an indoor-outdoor thermometer. Management estimates that the profit (in dollars) realizable by the company for the manufacture and sale of x units of thermometers each week is represented by the function below, where x ≥ 0. Find the interval where the profit function P is increasing and the interval where P is decreasing. (Enter your answer using interval notation.) P(x) = −0.004x2 + 6x − 5,000 Increasing: Decreasing:
Answer:
Increasing: \((0, 750)\)
Decreasing: \((750, \infty)\)
Step-by-step explanation:
Critical points:
The critical points of a function f(x) are the values of x for which:
\(f'(x) = 0\)
For any value of x, if f'(x) > 0, the function is increasing. Otherwise, if f'(x) < 0, the function is decreasing.
The critical points help us find these intervals.
In this question:
\(P(x) = -0.004x^{2} + 6x - 5000\)
So
\(P'(x) = -0.008x + 6\)
Critical point:
\(P'(x) = 0\)
\(-0.008x + 6 = 0\)
\(0.008x = 6\)
\(x = \frac{6}{0.008}\)
\(x = 750\)
We have two intervals:
(0, 750) and \((750, \infty)\)
(0, 750)
Will find P'(x) when x = 1
\(P'(x) = -0.008x + 6 = -0.008*1 + 6 = 5.992\)
Positive, so increasing.
Interval \((750, \infty)\)
Will find P'(x) when x = 800
\(P'(x) = -0.008x + 6 = -0.008*800 + 6 = -0.4\)
Negative, then decreasing.
Answer:
Increasing: \((0, 750)\)
Decreasing: \((750, \infty)\)
An item costs$490 before tax, and the sales tax is$39.20 Find the sales tax rate. Write your answer as a percentage
Answer:
8 percent
Step-by-step explanation:
0/100= 39.20/490
39.20 times 100= 3,920 divided by 490= 8
50 POINTS ASAP!!!!! 50 POINT ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!!
PLEASE HELP
Answer:
D is the answer
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Congruent definition: Two triangles are congruent if they have: precisely the same three sides and. precisely the same three angles
the triangle has the same angle measures but different sides.
The answer is D
math math math math math math math
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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