Answers
Supplementary Angles:
[tex]\boxed{100°} and \boxed{80°}[/tex]
Arithmetically speaking, the closest 2 supplementary angles can get (in 3 and 2 digits respectively) is the upwritten.
Complementary Angles:
[tex]\boxed{45°} and \boxed{45°}[/tex]
Simply, in this case, for angles to be numerically as close as possible - make both the angles 45°.
Related Questions
What characteristics do all points in Quadrant I share?
A. The x-coordinate is positive and the y-coordinate is positive.
B. The x-coordinate is negative and the y-coordinate is negative.
C. The x-coordinate is positive and y-coordinate is negative.
D. The x-coordinate is negative and y-coordinate is positive.
Answers
Answer:
Option A
Step-by-step explanation:
Remember the things.
In Q1
x>0,y>0in Q2
x<0,y>0in Q3
x<0,y<0in Q4
x>0,y<0Answer:
A. The x-coordinate is positive and the y-coordinate is positive.
Step-by-step explanation:
The Cartesian plane is divided into four regions by the x-axis and y-axis.
These regions are called "quadrants".
Quadrant I is the top right region, where x and y coordinates of points are positive.
From here, move in a counterclockwise direction.
Therefore, Quadrant II is the top left region, where the x-coordinate is negative and the y-coordinate is positive.
Quadrant I → (x, y)
Quadrant II → (-x, y)
Quadrant III → (-x, -y)
Quadrant IV → (x, -y)
The two tables show the number of copies of albums x, y, and z sold in outlets a, b, c, and d of a company. which outlet sold the greatest number of copies of album x in july and august?
Answers
Outlet A sold the greatest number of copies of album x in July and August
How to determine the outlet?The tables of values are given as:
July
Album X Album Y Album Z
Outlet A 14 8 6
Outlet B 7 13 4
Outlet C 2 11 1
August
Album X Album Y Album Z
Outlet A 12 14 10
Outlet B 5 12 8
Outlet C 16 12 7
In July, the total sales of album x are:
Outlet A = 14
Outlet B = 7
Outlet C = 2
In August, the total sales of album x are:
Outlet A = 12
Outlet B = 5
Outlet C = 16
Add both sales
A = 14 + 12 = 26
B = 7 + 5 = 12
C = 2 + 16 = 18
26 (in outlet A) is greater than 12 and 18
Hence, outlet A sold the greatest number of copies of album x in July and August
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Answer:
Outlet D
Step-by-step explanation:
they sold 28 of album x
outlet a only sold 26
Write a nuclear formula for 37^Ca
Answers
Answer:
37
20
C
a
→
37
19
K
+
0
+
1
e
This equation shows us the parent atom, which is calcium-37. The mass number is written above the atomic number for the atom. The arrow indicates the decay process with the products to the right of the arrow. The products are an atom of potassium-37 and a positron, which is similar to an electron but it carries a charge of +1 instead of a charge of -1. We can see that the transition of a proton to a neutron in positron decay decreases the atomic number of the atom from 20 to 19, but the mass number of 37 remains the same.
Step-by-step explanation:
Answer:
37
20
C
a
→
37
19
K
+
0
+
1
e
Step-by-step explanation:
What is the volume of the figure?
A. 188.5 units cubed
B. 196.9 units cubed
C. 205.3 units cubed
D. 213.6 units cubed
Answers
Julia buys a spool with 12 yards of wire. The students in
her jewelry-making class use 4 yards 2 feet of the wire
for one project and 7 feet of the wire for another
project. How many feet of wire does Julia have left?
Answers
12 yrd x 3 ft = 36 ft
one jewelry project uses 4 yrd + 2 ft OR 14 ft
the second project uses 7 ft
14 ft + 7 ft = 21 ft
36 ft - 21 ft = 15 ft of wire left over
Please help me fast and thank you if you do
Answers
Answer:
8 > u > 6
Step-by-step explanation:
We have to solve this inequality as 2 separate inequalities.
==============================================================
Inequality 1 :
⇒ 10 > 5u/4
⇒ 5u < 10 × 4
⇒ 5u < 40
⇒ u < 8 [Box 1]
============================================================
Inequality 2 :
⇒ 5u/4 > 15/2
⇒ 5u/2 > 15
⇒ u/2 > 3
⇒ u > 3 × 2
⇒ u > 6 [Box 2]
============================================================
Solution :
⇒ 8 > u > 6
Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=
Answers
Answer:
41.87 cm²
Step-by-step explanation:
Area of shaded region :
Area (sector of radius 7 cm) - Area (sector of 3 cm)π × θ/360° (r₁² - r₂²)3.14 x 120/360 (49 - 9)3.14 x 1/3 x 40125.6/341.87 cm²
Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.
Vector u has its initial point at (14,-6) and its terminal point at (-4, 7). Write the component form of u and find its magnitude.
Answers
Component form of u is (-18,13) and The magnitude of u is 22.2
What is a vector?A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.
The component form of a vector is an ordered pair that describes the change in x and y values
This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁
Given ;
Initial points of the vector as (14,-6)
The terminal point of the vector is (-4,7)
Here x₁=14,x₂=-4, y₁=-6,y₂=7
The component form of the vector u is (-4-14,7--6) =(-18,13)
Finding the Magnitude of the vector
u=√(x₂-x₁)²+(y₂-y₁)²
u=√-18²+13²
u=√324+169
u=√493
u=22.2
Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2
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Which equations and/or functions represent the graphed line? Select three options.
A coordinate plane with a line passing through the points, (negative 4, 0), (negative 2, 1), (0, 2), and (2, 3).
Answers
The equations of the graphed line and function can be written as:
f(x) = 1/2x + 2
y - 3 = 1/2(x - 2)
y - 1 = 0.5(x + 2)
What is the Equation of a Graphed Line?Equation of a graphed line can be expressed in:
Slope-intercept form as y = mx + b, where m = slope, b = y-intercept; or
Point-slope form as y - b = m(x - a), where (a, b) is a point and m = slope.
Find the slope (m) of the line:
Slope (m) = change in y / change in x = 1/2 = 0.5
y-intercept (b) = 2
To express the graphed line in slope-intercept form, substitute m = 1/2 and b = 2 into f(x) = mx + b:
f(x) = 1/2x + 2.
Using the point-slope form, write the equation by substituting m = 1/2 and (a, b) = (2, 3) into y - b = m(x - a):
y - 3 = 1/2(x - 2)
Or substitute m = 0.5 and (a, b) = (-2, 1) into y - b = m(x - a):
y - 1 = 0.5(x - (-2))
y - 1 = 0.5(x + 2)
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On a coordinate plane, triangle B C D is rotated 180 degrees clockwise to form triangle B prime C prime D prime. Identify the angle of rotation that maps triangle BCD to triangle B’C’D’. What is the angle of rotation? 90° 180° 270° 360°
Answers
Answer:
180
Step-by-step explanation:
Find the height in feet of the missile after 5 seconds in the air
Answers
The height in feet of the missile after 5 seconds in the air is; 875 ft
How to find the height of a Projectile?
We are given the quadratic function of the height in terms of time, x, in seconds as; h(x) = - 17x² + 260x
where;
h(x) is height after x seconds
x seconds is time of missile in air when thrown.
Thus, after five seconds, we have;
h(5) = - 17(5)² + 260(5)
h(5) = -425 + 1300
h(5) = 875 feet
Complete question is;
A missile is launched from the ground. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
After 1 second, the missile is 243 feet in the air; after 2 seconds, it is 452 feet in the air.
The height of the can be represented by this function:
h(x) = - 17x² + 260x
Find the height, in feet, of the missile after 5 seconds in the air.
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show your working please.
Answers
Offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
2 bags for £35
2 bags means 50 kg (2×25)
Each kg cost = 35/50 = £0.7 per kg
3 bags for £92.50
3 bags means 150 kg
Each kg cost = 92.50/150 = £0.61 per kg
As we can see, offer B has a low cost per kg
Thus, offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.
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what is the value of 50 US dollar in philippine money?
Answers
Answer:
Answer is $2,637.38
Step-by-step explanation:
can someone do this for me please?! Just the answer pls
Answers
Answer:
see the attachment photo!
HELPP PLEASE ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answers
Answer:
D1×D2/2sq
445×5= 225
225/2
=112.5
which method is best for solving the system of equations,
3x+2y=4
-3x+y=2
Answers
The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination
To answer the question, we need to know what system of equations are
What are system of equations?System of equations are pairs of equations that contain two unknowns
Ways of solving system of equationsWe have different ways of solving systems of equations which include
Guess and CheckEliminationGraphing and SubstitutionSince we have the system of equations
3x + 2y = 4
-3x + y = 2
The method which we can use to remove one variable by adding them is the elimination method.
Adding them, we have
3x + 2y = 4
+
-3x + y = 2
3y = 6
y = 6/3
y = 2
So, the method which we can use to remove one variable by adding them is B Elimination
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What is the range of the function graphed below?
On a coordinate plane, a graph shows a curve with two points. A solid point is at (1, 3) and an open point is at (4, negative 3).
1 less-than-or-equal-to y less-than 4
Negative 3 less-than y less-than-or-equal-to 3
Negative 2 less-than-or-equal-to y less-than-or-equal-to 3
Negative 3 less-than-or-equal-to y less-than 4
Answers
Answer:
Negative 3 less-than y less-than-or-equal-to 3
Step-by-step explanation:
By looking at a coordinate plane, we can easily see the range
remember, a closed dot means includes , and an open dot means does not include
[closed dot]
(open dot)
the range is all possible y-values. so, all y values shown are
3 which it includes
to -3 which it excludes / does not include
so, all y values are greater than -3 and less than or equal to 3
Frank has $500 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will Frank earn in 5 years?
Answers
Answer:
$50 interest
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = interested earnedP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
P = $500r = 2% = 0.02t = 5 yearsSubstitute the given values into the formula and solve for I:
⇒ I = 500 · 0.02 · 5
⇒ I = 50
Therefore, Frank will earn $50 interest in 5 years.
(10/2)x7+5-4 whats the answer
Answers
Answer:
36
Step-by-step explanation:
Question:
[tex] \bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solution:
Here, we need to use PEMDAS rule, where:
P = parenthesise = exponentsm = multiplicationD = divisiona = additions = subtractionThere's a rule as well, the sum given is need to solved from the left, whichever sign is there.
Solved:
[tex]\bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solve for parentheses first:
[tex] = 5 \times 7 + 5 - 4[/tex]
Then multiplication of course:
[tex] = 35 + 5 - 4[/tex]
Then addition:
[tex] = 4 0 - 4[/tex]
[tex] =36[/tex]
Hence, the answer is 36.
Consider function g.
g(x)={(6,-8<=(-2)<-2 ),(0,-2<=(-2)<4),(-4,4<=(-2)<10):}
What are the values of the function when x = -2 and when x = 4?
g(-2) = __
g(4) = __
Answers
By evaluating the piecewise function, we get:
g(-2) = 0.
g(4) = 4.
How to evaluate the piecewise function?A piecewise function is a function that behaves differently in different parts of its domain.
Here, we first want to get g(-2). x = -2 belongs to the second domain, then we use that part:
g(-2) = 0.
For x = 4, it belongs to the third domain, then we have:
g(4) = 4.
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Pettit printing company has a total market value of $100 million, consisting of 1 million shares selling for $50 per share and $50 million of 10 percent perpetual bonds now selling at par. the company's ebit is $13.24 million, and its tax rate is 15 percent. pettit can change its capital structure by either increasing its debt to 70 percent (base on market value) or decrease it to 30 percent. if its decides to increase its use of leverage, it must call its old bonds and issue new ones with a 12 percent coupon. if it decides to decrease its leverage, it will call in its old bonds and replace them with new 8 percent coupon bonds. the company wills ell or repurchase stock at the new equilibrium price to complete the capital structure change. the firm pays out all earnings as dividends; hence; its stock is a zero growth stock. its current cost of equity, rs; is 14 percent. if it increases leverage rs will be 16 percent. if it decreases leverage, rs will be 13 percent. what is the firm's wacc and total corporate value under each capital structure?
Answers
The weighted average cost of capital for the firm will be 11.25%.
How to calculate the WACC?The weighted average cost of capital is the calculation of the cost of capital for a firm where each category of capital is weighted.
Here, the weighted average cost of capital will be:
= 0.5(10%)(1 - 15%) + 0.5(14%)
= 0.5(0.1)(0.85) + 0.5(0.14)
= 11.25%
The corporate value at 70% debt when WACC is 11.94% will be:
= (EBIT)(1 - T)/WACC
= (13.24)(1 - 0.15)/0.1194
= $94.26 million
The corporate value at 30% debt when WACC is 11.14% will be:
= (EBIT)(1 - T)/WACC
= (13.24)(1 - 0.15)/0.1114
= $101.02 million
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Find the quadratic equation with integral coefficients having roots 6 and 2.
Answers
The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
How to determine the quadratic equation?The roots are given as:
x = 6 and x = 2
Rewrite as:
x - 6 = 0 and x - 2 = 0
Multiply both equations
(x - 6)(x - 2) = 0 * 0
Evaluate the product
x^2 - 6x - 2x + 12 = 0
Evaluate the difference
x^2 - 8x + 12 = 0
Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
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1 pound is equivalent to ____ grams.
Answers
Answer: 453.592 grams
Step-by-step explanation:
I searched it up online. But if you're going to use this to calculate. Use 454 grams.
Answer:
453.592 rounded would be 454* grams witch is equal to 1 pound
Step-by-step explanation:
1 pound is equivalent to __453.592 or just say 454*__ grams.
Had to fix that hehehe
Hope This Helped
Q5. An earthquake causes a sea wave. This sea wave travels 26 400 m in two minutes. Calculate the speed of the wave. Use the equation Q6. wave speed distance time speed =
Answers
Answer:
13.2 Kilometers an Minute, or 220 Kilometers an Hour
Step-by-step explanation:
26,400 divided by 2 = 13.2 (Minutes) Divided by 60 = 220 (Hours).
solve pls brainliest
Answers
Step-by-step explanation:
(−424.9) × (-0.1) = 42.49
2.7 × (−0.5) = -1.35
Answer: Heyaa! ~
Your Answers when Multiped are...
42.49 -1.35Step-by-step explanation:
-424.9(-0.1)= 42.492.7 × (−0.5) = -1.35- Multiplied. -
Hopefully this helps you! ~
Find the perimeter.
Perimeter = [?]
Simplify your answer completely.
Answers
Answer:
119 4/7
Step-by-step explanation:
Perimeter is all of the lengths of the sides added together. I started by adding all of the whole numbers:
35+10+12+15+24+12+10=118
Then I added the fractions (after making the denominators equal by multiplying the 3/7, 1/7, 2/7 all by 2)
6/14+2/14+4/14+3/14+1/14+4/14+2/14= 22/14
Then I subtracted 14 from 22 to take out our whole number (which would be 14/14 or 1), and see that we are left with 8.
This means that our answer is 119 8/14 or 119 4/7
Simplify the expression:
(6x² − x + 5)
minus
(8x² + 8x-7)
Answers
Which equation shows an example of the associative property of addition?
Answers
Answer:
(2+3)+4 = 2+(3+4) this is an example of associative property
4 x2-5x-6=0 quadratic form
Answers
Step-by-step explanation:
[tex]4 {x}^{2} -5x-6=0 [/tex]
Solve using quadratic formula
Solution:
We know that
[tex] \rm \: Quadratic \: Formula = \cfrac{ - b± \sqrt{ {b}^{2} - 4(ac) } }{2a} [/tex]
ATQ,here,
a = 4b = -5c = -6Substitute the values into the quadratic formula.
[Let Quadratic Formula = x][tex]\rm\implies x = \cfrac{5 ± \sqrt{( - 5) {}^{2} - 4 \times (4 \times - 6) } }{2 \times 4} [/tex]
[tex]\rm\implies{x} = \cfrac{5 ± \sqrt{25 - 4 \times (24) } }{2 \times 4} [/tex]
[tex] \implies \rm \: x = \cfrac{5 ± \sqrt{25 - 96} }{8} [/tex]
[tex] \implies \rm \: x = \cfrac{5± \sqrt{121} }{8} [/tex]
[tex] \implies \rm \: x = \cfrac{5± \sqrt{11 \times 11} }{8} [/tex]
[tex] \implies \rm \: \: x = \cfrac{5±11}{8} [/tex]
The answer will be the combination of both solutions[tex]\boxed{x = 2}[/tex]
OR
[tex]x = \boxed{- \cfrac{3}{4}} [/tex]
If 2^2^x = 2^3 what is the value of x
Answers
Answer:
[tex]\dfrac 32[/tex]
Step-by-step explanation:
[tex]~~~~~~~2^{2x} = 2^3\\\\\implies \ln\left(2^{2x} \right) = \ln (2^3)\\\\\implies 2x \ln(2) = 3 \ln(2) \\\\\implies 2x = 3\\\\\implies x = \dfrac 32[/tex]
Answer:
B
Step-by-step explanation: