Answer: 2,3,8
Step-by-step explanation:
if,
x+y+z=13
2x+5y+6z=67
5x-y=7
Solve [x+y+z=13 2x+5y+6z=67] to find: -3x+z=2 and keep
|
x+y+z=13
5x-y=7
6x+z=20 and -3x+z=2
z=8
x=2
y=3
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
27°
Step-by-step explanation:
SOH CAH TOA
sinx = opposite/hypotenuse
sinx = 10/21 ≈ 0.47619047619 radians
0.47619047619 · (180/π)
≈ 85.71/π
≈ 27°
BRAINLIEST please if this helped!A theater has 1200 seats. Each row has 20 seats. Write and solve an equation to find the number x of rows in the theater.
An equation that represents this problem is
=1200.
There are
? rows in the theater.
Repost-9 TOTAL QUESTIONS
#19 (LAST PICTURE)
Which of the following shows a graph of a tangent function in the form y = atan(bx − c) + d, such that b = 2? (Two graphs below, I think one of these graphs are correct)
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1 (#3)
The formula for a regular octagon inscribed in a circle of radius [tex]r[/tex] is [tex]A=2\sqrt{2}r^2[/tex]. Hence, [tex]A=2\sqrt{2}(4)^2=16*2\sqrt{2}=32\sqrt{2}\approx45.255m^2[/tex].
Thus, C is the correct answer
Problem 2 (#4)
Using the co-function identity [tex]\displaystyle \sin\biggr(x+\frac{\pi}{2}\biggr)=\cos(x)[/tex], the equation can be rewritten as [tex]cos(x)=\frac{\sqrt{3}}{2}[/tex]. Using a unit circle, it's easy to see that the answer is [tex]\displaystyle\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex].
Thus, C is the correct answer
Problem 3
[tex]f(x)=g(x)\\\\2\sin^2 x-1=-\cos(x)\\\\2(1-\cos^2 x)-1=-\cos(x)\\\\2-2\cos^2 x-1=-\cos(x)\\\\1-2\cos^2 x=-\cos(x)\\\\2\cos^2x-\cos(x)-1=0[/tex]
Let [tex]u=\cos(x)[/tex], hence:
[tex]2u^2-u-1=0\\\\(2u+1)(u-1)=0[/tex]
[tex]\displaystyle2u+1=0\\\\2u=-1\\\\u=-\frac{1}{2}\\ \\\cos(x)=-\frac{1}{2}\\ \\x=\biggr\{\frac{2\pi}{3},\frac{4\pi}{3}\biggr\}[/tex]
[tex]u-1=0\\\\u=1\\\\\cos(x)=1\\\\x=\{0\}[/tex]
So, the solution set is [tex]\displaystyle\biggr\{0,\frac{2\pi}{3},\frac{4\pi}3}\biggr\}[/tex]
Thus, B is the correct answer
Problem 4 (#8)
If we construct a right triangle in Quadrant I with an opposite leg length of 1 unit and an adjacent leg length of 1 unit, this shows that [tex]\displaystyle\tan\theta=\frac{opposite}{adjacent}=\frac{1}{1}=1[/tex]. Since [tex]\displaystyle \csc\theta=\frac{1}{\sin\theta}[/tex] and [tex]\displaystyle\sin\theta=\frac{opposite}{hypotenuse}[/tex], we must solve for the hypotenuse with the Pythagorean Theorem:
[tex](opposite)^2+(adjacent)^2=(hypotenuse)^2\\1^2+1^2=(hypotenuse)^2\\1+1=(hypotenuse)^2\\2=(hypotenuse)^2\\\sqrt{2}=hypotenuse[/tex]
Therefore, since [tex]\displaystyle \sin\theta=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex], then [tex]\displaystyle \csc\theta=\frac{1}{\sin\theta}=\frac{1}{\frac{\sqrt{2}}{2}}=\frac{2}{\sqrt{2}}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex].
Thus, B is the correct answer
Problem 5 (#9)
As no angles are given and only side lengths, we are forced to use the Law of Cosines to solve for the angles:
Side "a" will be the distance from A to B with corresponding angle ASide "b" will be the distance from B to C with corresponding angle BSide "c" will be the distance from C to A with corresponding angle CAngle A:
[tex]a^2=b^2+c^2-2bc\cos(A)\\400^2=500^2+600^2-2(500)(600)\cos(A)\\160000=250000+360000-600000\cos(A)\\160000=610000-600000\cos(A)\\-450000=-600000\cos(A)\\\frac{3}{4}=\cos(A)\\ A\approx41.410^\circ[/tex]
Angle B:
[tex]b^2=a^2+c^2-2ac\cos(B)\\500^2=400^2+600^2-2(400)(600)\cos(B)\\250000=160000+360000-480000\cos(B)\\250000=520000-480000\cos(B)\\-270000=-480000\cos(B)\\\frac{9}{16}=\cos(B)\\B\approx55.771^\circ[/tex]
Angle C:
By the Triangle Angle-Sum Theorem, [tex]C\approx82.819^\circ[/tex]
Hence, we can conclude that angle A is the smallest angle the swimmers must turn between the buoys.
Thus, C) 41.410° is the correct answer
Problem 6 (#unknown)
As we are given two angles and a side length, we can use the Law of Sines to find side length "b". Firstly, we need angle C so we can set up the proportion to find "b". By the Triangle Angle-Sum Theorem, [tex]m\angle C=60^\circ[/tex].
[tex]\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(64^\circ)}{b}=\frac{\sin(60^\circ)}{8}\\\\8\sin(64^\circ)=b\sin(60^\circ)\\\\b=\frac{8\sin(64^\circ)}{\sin(60^\circ)}\\ \\b\approx8.303[/tex]
Thus, B is the correct answer (how ironic lol)
Problem 7 (#13)
[tex]\displaystyle\sqrt{2}\cos2x=\sin^2x+\cos^2x\\\\\sqrt{2}\cos2x=1\\\\\cos2x=\frac{1}{\sqrt{2}}\\\\\cos2x=\frac{\sqrt{2}}{2}\\ \\2x=\frac{\pi}{4},\frac{7\pi}{4}\\ \\x=\frac{\pi}{8},\frac{7\pi}{8}[/tex]
Hence, B is the correct answer
Problem 8 (#14)
[tex]\displaystyle \sec\theta=2\\\\\frac{1}{\cos\theta}=2\\ \\\cos\theta=\frac{1}{2}\\ \\\theta=\frac{\pi}{3}+2\pi n,\frac{5\pi}{3}+2\pi n[/tex]
Thus, D is the correct answer
Problem 9 (#19)
The bottom graph looks correct as the period of the tangent function is [tex]\frac{\pi}{|b|}=\frac{\pi}{2}[/tex].
A. Transform F using the rule (x, y) → (-x, y) (1 pt.)
B. Describe the transformation precisely. (1 pt.)
C. Does the transformation result in a a congruent figure? (1 pt.)
Answer:
A: (-3,4) (-3,6) (-5,6) (-7,4)
B: The transformation would be described as a reflection over the y axis
C: The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width
Step-by-step explanation:
So our plots from the figure are: (3,4) (3,6) (5,6) (7,4)
So using the rule (x, y) → (-x, y) are new points would be:
(-3,4)
(-3,6)
(-5,6)
(-7,4)
This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.
How much would you need to deposit in an account now in order to have $6000 in the account in 5 years? Assume the account earns 8% interest compounded daily.
Answer:
$[tex]\frac{6000\cdot \:365^{1825}}{365.08^{1825}}[/tex]
Step-by-step explanation:
[tex]x(1+.\frac{.08}{365})^{5\cdot \:365} =6000[/tex]
[tex]x\frac{365.08^{1825}}{365^{1825}}=6000[/tex]
[tex]x\frac{365.08^{1825}}{365^{1825}}\cdot \:365^{1825}=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]
[tex]365.08^{1825}x=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]
[tex]\frac{365.08^{1825}x}{365.08^{1825}}=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]
[tex]x=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]
you cannot simplify further because of the high exponents
It is simply extremely hard to do compound interest problems backwards if it gets compounded daily
Mark brainliest please!
FIND THE AREA PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
53.2 square feet
638.4 square inches
Step-by-step explanation:
The formula for area of parallogram is l x w.
91.2 inches to feet is 7.6 feet.
7.6 is the width and 7 is the length.
7.6 x 7 = 53.2
Is the discriminant of g positive, zero, or negative?
Answer:
the discriminant of g positive
Step-by-step explanation:
the discriminant of g positive because the graph of g cross the x-axis in two points.
Abby has 2.28 pounds of meat. She uses 0.19 pound of meat to make one hamburger. How many hamburgers can Abby make with the meat she has
Answer: Abby would be able to make 12 hamburgers.
Step-by-step explanation:
You have to divide 2.28 and 0.19 and you would get 12 so the answer is 12.
Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1½ : 5 : 1. Originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per Kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per Kg. Determine the production cost for a packet of Super tea.
Therefore, the production cost for a packet of Super tea is $923.91.
Cost calculationSince Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1½ : 5 : 1, and originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per Kg to produce, and Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per Kg, to determine the production cost for a packet of Super tea, the following calculation must be made:
Blending ad packing costs = 40 x 0.825 = 331.5 + 5 + 1 = 7.57.5 = 1001.5 = X1.5 x 100 / 7.5 = 207.5 = 1005 = X5 x 100 / 7.5 = 66.66100 - 66.66 - 20 = 13.3333 + (1600 x 0.2 x 0.825) + (800 x 0.6666 x 0.825) + (1700 x 0.1333 x 0.825) = X33 + 264 + 439.96 + 186.95 = X923.91 = XTherefore, the production cost for a packet of Super tea is $923.91.
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Joe read 140 pages of his 300- page book. What percent of the book has he read?
Answer:
47 percent
Step-by-step explanation:
140/300divide by 347/100percentages are out of 100 so it is 47A rectangular prism is shown.
What is the volume, in cubic MILLIMETERS, of the rectangular prism
Answer:
1974 mm^3
Step-by-step explanation:
The formula to find the volume of a rectangular prism/cuboid: l x w x h, where l is the length, w is the width and h is the height.
1) Input the values into the formula and solve it.
= 47 x 14 x 3
= 1974 mm^3
PLEASE HELP ASAP, WILL GIVE BRAINLIEST IF CORRECT
Which line best represents the line of best fit for this scatter plot? Graph shows numbers from 0 to 10 at increments of 1 on the x axis and numbers from 0 to 18 at increments of 2. Scatter plot shows ordered pairs 1, 2 and 2, 6 and 3, 4 and 4, 10 and 5, 8 and 6, 8 and 7, 12 and 8, 10 and 9, 12 and 10, 14. A line labeled P joins ordered pair 0, 2.4 and 9, 18. A line labeled Q joins ordered pairs 0, 2.4 and 10, 18. A line labeled R joins ordered pairs 0, 2.4 and 10, 13.6. A line labeled S joins ordered pairs 0, 2.4 and 10, 10.
Line P
Line Q
Line R
Line S
Answer:
Line R
Step-by-step explanation:
6
Select the correct answer.
Which of the following is a non-real complex number?
OA. 9-
А.
-
5 — 2√7
4
ОВ.
O C.
-8√ - 3/12
OD.
3√² + √
Answer:
D
Step-by-step explanation:
In order to find a non-real number we look for a part of the expression that cannot exist.
Answer choice D stands out as you cannot take a square root of a negative number.
That's our answer!
Option D is correct, the given number 3√(7/5) + √-(9/5) is a non real complex number.
What are Complex Numbers?The complex number is basically the combination of a real number and an imaginary number.
3√(7/5) +√(-9/5) is a non real complex number
We know that a+ib is a complex number where a is real number and b represents the imaginary number
3√(7/5) +√i²(9/5)
3√(7/5) + i√9/5 it is in the form of a+ib.
where a is 3√(7/5) and b is √9/5
3√(7/5) + √-(9/5) is non real complex number
Hence, among the given numbers 3√(7/5) + √-(9/5) is a non real complex number.
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What is the length of AB?
Answer:
10
Step-by-step explanation:
AB²=8²+6²
=64+36
=100
AB=10
Answer:
10 units
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
6² + 8² = c²
c = √100
10 units
BRAINLIEST please if this helped!Find the value of each determinant:
Help!
Answer:
Matrix 1: -4269
Matrix 2: 1768
Matrix 3: 647.3561
Step-by-step explanation:
Matrix 1: [tex](7*19)-(31*142)=-4269[/tex]
Matrix 2: 1768
[tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
Determinant = [tex]a(ei-fh)-b(di-fg)+c(dh-eg)[/tex]
Matrix 3: 647.3561
[tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
Determinant = [tex]a(ei-fh)-b(di-fg)+c(dh-eg)[/tex]
than 100 inches.
8 feet 6 inches
8 feet
0000
3 yards
2 yards 19 inches
Yo your question is extremely un readable but im gonna assume you are asking what is more than a hundred inches
8 feet 6 inches = 104 inches
8 feet = 96 inches
3 yards = 108 inches
2 yards 19 inches = 91 inches
Katy has a choice. She can buy a book of 6 round trip bus tickets from
Houston to Austin for a total of $522 or she can buy a book of 9 round trip
bus tickets from Houston to Austin for a total of $702. Which is the better
deal? Why?
Answer:
buying a book of 9 round trip bus tickets from Houston to Austin for a total of $702 is a better deal because 702/9 = 78 which is less than 522/6 = 87
Step-by-step explanation:
Find f(-3) when f(x) = 2x2 + 3x + 5
Answer:
-4
Step-by-step explanation:
Answer: If f(x) = -x2 - 3x + 5, then the value of f(-3) is -4.
Answer:
f(-3) = 14
Step-by-step explanation:
f(-3) just means to fill in -3 for x.
2x^2 + 3x + 5
becomes
2(-3)^2 + 3(-3) + 5
Exponent first.
2(9) + 3(-3) + 5
Multiplication
18 + -9 + 5
Add.
14
i need help this exact minute
no fake answers, seriously no.
Answer:
h is the horizontal translation
k is the vertical translation
a is the stretch parallel to the y-axis
Step-by-step explanation:
Parent equation: [tex]y=x^2[/tex]
Translate [tex]h[/tex] units right: [tex]y=(x-h)^2[/tex]
(if [tex]h < 0[/tex], then the translation is [tex]h[/tex] units left)
Stretched parallel to the y-axis by a factor of [tex]a[/tex]: [tex]y=a(x-h)^2[/tex]
(if [tex]a < 0[/tex], the graph is also reflected in the x-axis)
Translated k units up: [tex]y=a(x-h)^2+k[/tex]
(if [tex]k < 0[/tex] then the translation is k units down)
Example attached for [tex]y=2(x-3)^2+4[/tex]
4 Jackson's mom limits the amount of time he is allowed to play video games. After
Jackson plays for 9 minutes, his mom tells him that he has used up 30% of his time.
How many more minutes can Jackson play before he uses all of his time?
Show your work.
Answer Jackson can play
more minutes.
Answer:
Jackson can play for 21 more minutes.
Step-by-step explanation:
If 9 minutes = 30% or 0.3
then we can set up a ratio to cross multiply.
(9/30) = (x/100)
then croos multiply and divide to isolate and solve for x.
(9 * 100) / 30 = 30
That means 100% of Jackson's time is 30 minutes.
30 - 9 = 21. So jackson can play for 21 more minutes before he uses all of his time.
But by the time he figures all of this out he'll probably have to turn it off anyways :)
THIS IS MY SISTER LAST QUESTION TAKE YOUR TIME1
Answer:
B
Step-by-step explanation:
[tex][(8+15) \times 3] \div 3\\= \frac{(8+15) \times 3}{3}\\= \frac{8 + 15}{1}\\= 8 + 15 = 23[/tex]
The best translation for Zimbabwe is:
A. The Temple of God
B. The Ruler on High
C. The House of Rock
D. The Children of the Sun
Answer:
Zimbabwe is a Bantu word for stone houses so the answer is C
Can someone help with this
Answer:
Step-by-step explanation:
Find the horizontal asymptotes by comparing the degrees of the numerator and denominator.
Vertical Asymptotes:
x=1
Horizontal Asymptotes:
y=0
No Oblique Asymptotes
Levi has a fish tank that holds
8 gallons of water. He wants to fill it
so it is only 3/4 full. How much water,
in gallons, should Levi put in the fish
tank? Explain.
Answer:
6 gallons because 3/4 is the same as 6/8 so therefore 6 gallons would be 3/4 full
The amount of water in gallons in the fish tank is A = 6 gallons
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 equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
If Levi wants to fill the fish tank so it is only 3/4 full, then he only needs to fill it with 3/4 of its total capacity.
A = (3/4) x 8
On simplifying the equation , we get
A = 6 gallons
Hence , Levi should put 6 gallons of water in the fish tank to fill it to 3/4 of its total capacity
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Two adjacent angles form a straight angle. Which term best describes these two angles?
1. Supplementary angles.
2. Vertical angles.
3. Corresponding angles.
4. Complementary angles.
the answer would be supplementary angle, as an angle is supplementary when the measurements add up to 180 degrees
The graph shown compares the number of pages of the same book read by Emily and Serena over time.
How many minutes after Serena started reading would the number of pages read by them be equal?
Using linear equations, the number of minutes that both would read for them to read equal number of pages is: 30 minutes.
What is the Equation of a Linear Graph?Equation of a linear graph is given as, y = mx + b, where m and b are the slope and y-intercept of the graph respectively.
Equation for Emily's graph:
Slope (m) = rise/run = 1/3
y-intercept (b) = 2
Substitute m = 1/3 and b = 2 into y = mx + b
y = 1/3x + 2
Equation for Serena's graph:
Slope (m) = rise/run = 2/5
y-intercept (b) = 0
Substitute m = 2/5 and b = 0 into y = mx + b
y = 2/5x + 0
y = 2/5x
To find how many minutes for both of them to read the same number of pages, make both equations equal to each other.
2/5x = 1/3x + 2
2/5x - 1/3x = 2
1/15x = 2
Multiply both sides by 15
x = (2)(15)
x = 30
The answer is 30 minutes for both to read the same number of pages.
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A rental car company charges $31.91 per day to rent a car and $0.07 for every mile
driven. Hudson wants to rent a car, knowing that:
• He plans to drive 100 miles.
• He has at most $70 to spend.
Answer:
1.97 day; 1 day.
Step-by-step explanation:
0.07*100 = 7
31.91x - 7 = 70
70 - 7 = 63
31.91x = 63
63 / 31.91 = 1.97
Hudson can afford to drive the car for 2 days and stay under his budget.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We know that it costs $0.07 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:
31.91x + 0.07(100) ≤ 70
31.91x + 7 ≤ 70
Rearranging the inequality so we have the variable isolated on one side, we get:
31.91x ≤ 63
Divide both sides by 31.91 to get x alone.
x ≤ 1.97430
x ≤ 2
From obtaining the solution, Hudson can afford to drive the car for 2 days and stay under his budget.
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The question seems incomplete, the complete question would be as:
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that:
• He plans to drive 100 miles.
• He has at most $70 to spend.
Which inequality can be used to determine, the maximum number of days Hudson can afford to rent for while staying within his budget?
What is the surface area of the cylinder with height 4 km and radius 5 km?
Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
A. $68.40
B. $63.00
C. $8.20
D. $17.50
Answer:
300 cents in pennies
1000 cents in nickles
2000 cents in dimes
3000 cents in quarters
the answer would be B. 63.00
Please help me with this question
Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.
What is the Area of a Sector?Area of a sector of a circle = ∅/360 × πr²
What is the Length of an Arc?Length of arc = ∅/360 × 2πr
Given the following:
Radius (r) = 9 cmLength of arc = 6π cmArea of sector = kπ cm²Find ∅ of the sector using the formula for length of acr:
∅/360 × 2πr = 6π
Plug in the value of r
∅/360 × 2π(9) = 6π
∅/360 × 18π = 6π
Divide both sides by 18π
∅/360 = 6π/18π
∅/360 = 1/3
Multiply both sides by 360
∅ = 1/3 × 360
∅ = 120°
Find the area of the sector:
Area = ∅/360 × πr² = 120/360 × π(9²)
Area = 1/3 × π81
Area = 27π
Therefore, the value of k is 27.
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