Answer:
180
Step-by-step explanation:
Angles A and B are complementary. If sin A = 5x + 9 and cos B = 3x + 21, what is the value of x? (1 point) 2 6 15 39
The value of x is 6.
What are complementary?Complementary angles are angles that sum up to 90°.
Analysis:
For angles A and B, to be complementary, the sine of angle A must be equal to the cosine of angle B.
sin A = cos B
5X+9 = 3x+21
5x - 3x = 21 - 9
2x = 12
x = 6
In conclusion, the value of x to make angles A and B complementary is 6.
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12.34
the measure of one interior angle of a rhombus is [tex]79^{\circ}[/tex] . what are the measures of the other three interior angles?
Step-by-step explanation:
a rhombus is a parallelogram with 4 identical sides.
it has therefore two pairs of equal angles.
as any quadrilateral the sum of all interior angles is 360°.
(and yes, as add-on, the diagonals bisect each other at right angles).
so, one interior angle is 79°.
that means it has a twin that is also 79°.
together they have 79×2 = 158°.
that leaves
360 - 158 = 202°
for the other 2 angles (they must be equal too).
so, each of them has
202/2 = 101°
so, the other 3 angles are
79°, 101°, 101°
A book is chosen randomly. complete the steps to find the probability that the book is nonfiction given that it is hard-covered. find the probability that a chosen book is nonfiction and hard-covered. p(n ∩ h) = find the probability that a chosen book is hard-covered. p(h) = calculate the conditional probability. startfraction p (n intersection h) over p (h) endfraction =
The probability that the book is nonfiction given that it is hard-covered is 4/11
How to determine the probability?From the complete question, we have:
Total = 20
n(H ∩ N) = 4
n(H) = 11
This means that:
P(H ∩ N) = n(H ∩ N)/Total
So, we have:
P(H ∩ N) = 4/20
The conditional probability is then calculated using:
P(N | H) =4/20 ÷ 11/20
Evaluate
P(N | H) = 4/11
Hence, the probability that the book is nonfiction given that it is hard-covered is 4/11
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Answer:
Step-by-step explanation:
4/20
11/20
4/11
yw :)
rotate 90 dgrees answer me
Step-by-step explanation:
here, given points are
(-2,-1),(-5,-3),(-5,-4)
now
(X,y)________ (-y,X)
(-2,-1)________ (1,-2)
(-5,-3)________ (3,-5)
(-5,-4)________ (4,-5)
now plot the points in the graphs
Work out 21 as a fraction of 12
Answer:
see below
Step-by-step explanation:
1 9/12 = > 1 3/4
........
Please help I’m begging you!!
Answer:
Here is the ans ...hope it helps:)
There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the
probability that the mystery books are next to each other, the romance books are next to each other, and the
poetry books are next to each other? (For example, MMRRPP).
Answer:
Please don't hesitate to give a "thumbs up" for the answer in case the answer has helped you 1. 2 M, 2R, 2 P are placed in shelf randomly P(similar a…
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Transcribed image text: Your Turn Find the probability using permutation with repetition 1. There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the probability that the mystery books are next to each other, the romance books are next to each other, and the poetry books are next to each other? (For example, MMRRPP). 2. The school jazz band has 4 boys and 4 girls, and are randomly lined up for a yearbook photo. Find the probability of getting all of the boys grouped together.
Step-by-step explanation:
CORRECT ME IF IM WRONG
What is (f−g)(x)?
f(x)=x^3−3x^2+2x−3
g(x)=4x^2−5x+7
Enter your answer in the box.
(f−g)(x)=
Answer:
[tex]\large\boxed{\sf x^3 - 7x^2 + 7x - 10}[/tex]
Explanation:
Given:
(a) f(x) = x³ - 3x² + 2x - 3
(b) g(x) = 4x²- 5x + 7
Solve for (f - g)(x) = f(x) - g(x) :
⇒ x³ - 3x² + 2x - 3 - (4x²- 5x + 7)
distribute inside parenthesis
⇒ x³ - 3x² + 2x - 3 - 4x² + 5x - 7
group the variables
⇒ x³ - 3x² - 4x² + 2x + 5x - 3 - 7
add or subtract variables
⇒ x³ - 7x² + 7x - 10
Answer:
x³ - 7x² + 7x - 10
Step-by-step explanation:
Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)
Given:
f(x) = x³ - 3x² + 2x - 3g(x) = 4x² - 5x + 7Simplify:
(x³ - 3x² + 2x - 3) - (4x² - 5x + 7)
(x³ - 3x² + 2x - 3) - (4x²) + - (- 5x) - (7)
x³ - 3x² + 2x - 3 - 4x² + 5x - 7
x³ - 3x² - 4x² +2x + 5x - 3 - 7
x³ - 7x² + 7x - 10
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What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box. (the diameter is 24cm)
The circumference of the circle is 75.36 cm.
Step 1: Given data:Diameter of the circle is 24 cm,
[tex]\pi = 3.14[/tex]
Step 2: Formula used and calculation:Circumference of the circle is [tex]2\pi r[/tex].
So, Radius, r = 24/2 = 12 cm.
Now, Putting the value in the above formula, we get
2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.
Hence, the circumference of the circle is 75.36 cm.
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write in standard form
(2×10³)+(4×10²)+(4×10¹)+(4×1)
can somebody answer this please.
c:
Answer: 2,444
Step-by-step explanation: We can find the answer to this problem by simplifying the scientific notation, and then adding. You would end up with 2,000 + 400 + 40 + 4 if done correctly. Hope this helps!
A glass marble has a diameter of 18 millimeters. What is the approximate volume of the marble? Use 3.14 for .
A.
3,052.08 cubic millimeters
B.
1,356.48 cubic millimeters
C.
24,416.64 cubic millimeters
D.
339.12 cubic millimeters
The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
A glass marble has a diameter of 18 millimeters.
The radius is 9
[tex]V= \dfrac{4}{3} (3.14) (9)^3 \: \rm unit^3\\\\V = 3,052.08 cubic millimeters[/tex]
The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.
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please help!!!!!!!!!!
i can, first add then take away and u done!
Step-by-step explanation:
Amy and alexis share a pizza. amy eats 4/9 and alexis eats 5/12 how much of the pizza is left ? give you answer in the simplest form.
Exact Form:
5
27
Decimal Form:
0.
¯¯¯¯¯¯
185
i hope this helps please have a nice day/night
Answer:
Exact Form:
5
27
Decimal Form:
0.
¯¯¯¯¯¯
185
i hope this helps please have a nice day/night
Step-by-step explanation:
The mean test score of 12 students is . 42
A student joins the class and the mean becomes .43
Find the test score of the student who joined the class.
Answer:
45 becasue it has to be over 43
Step-by-step explanation:
The test score of the student who joined the class will be;
⇒ 55
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mean test score of 12 students = 42
And, A student joins the class and the mean becomes 43.
Now,
Total score for 12 students is,
⇒ x / 12 = 42
⇒ x = 42 × 12
⇒ x = 504
Here, A student joins the class and the mean becomes 43.
Let the student who join = y
So, We get;
⇒ (504 + y) / 13 = 43
⇒ 504 + y = 43× 13
⇒ 504 + y = 559
⇒ y = 559 - 504
⇒ y = 55
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URGENT PLEASE ANSWER
2 Increase 280 in the ratio 5:2
Answer:
300:288
Step-by-step explanation:
5+2=7
280 /7 = 4
20:8
300:288
a straight line has gradient -2 and passes through the point (-3 , 10).
work out the equation of the line
give your answer in the form y=mx+c
Answer:
y = 4 - 2x
Step-by-step explanation:
That is the formula, in y = a + mx but it you want it in y = mx+c, it is y = -2x + 4
A population of 175 snails is increasing at an annual rate of 12%. what will the population
of the snails be in 10 years? round to the nearest hundreths place.
an...
snails
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &175\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ t=years\dotfill &10\\ \end{cases} \\\\\\ A=175(1 + 0.12)^{10}\implies A=175(1.12)^{10}\implies A\approx 543.52[/tex]
solve for x
4x + 9
16x - 9
Answer:
9
Step-by-step explanation:
Vertical lines are parallel so the given interior angles are supplementary and their sum is equal to 180:
4x + 9 + 16x - 9 = 180 add like terms
20x = 180 divide both sides by 20
x = 9
bobs snowplow business charges 300$ per season plus 10$ for each walkway shoveled, while mikes snow removal charges 250$ per season plus 15$ per walkway.
using technology, how many walkways must be shoveled to result in equal billing from both companies?
The number of walkways that must be shoveled to result in equal billing from both companies is 10
Calculating costFrom the question, we are to determine how many walkways must be shoveled to result in equal billing from both companies
Let the number of walkways be x
From the given information,
Bobs snowplow business charges 300$ per season plus 10$ for each walkway shoveled
∴ If x walkways are shoveled
the billing will be $300 + $10x
For Mikes snow removal
Mikes snow removal charges 250$ per season plus 15$ per walkway
∴ If x walkways are shoveled
the billing will be $250 + $15x
Now, we are to determine the value of x for which the billings from both companies will be equal,
That is,
$300 + $10x = $250 + $15x
$15x - $10x = $300 - $250
$5x = $50
x = $50 / $5
x = 10
Hence, the number of walkways that must be shoveled to result in equal billing from both companies is 10.
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Find the measure of the indicated angle to the nearest degree.
7
9
12
?
49⁰
O53⁰
41°
37⁰
Answer:
[tex]41^{\circ}[/tex]
Step-by-step explanation:
[tex]~~~~~~\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \cos \theta = \dfrac{9}{12}\\\\\\\implies \theta = \cos^{-1} \left( \dfrac 9{12} \right)\\\\\\\implies \theta \approx 41^{\circ}[/tex]
Answer:
41°
Step-by-step explanation:
Since the adjacent side and the hypotenuse are given, let's take the cosine ratio of the missing angle.
cos θ = adjacent side / hypotenuse
===========================================================
Given :
⇒ Adjacent side = 9
⇒ Hypotenuse = 12
===========================================================
Solving :
⇒ cos θ = 9/12
⇒ cos θ = 0.75
⇒ θ = cos⁻¹ (0.75)
⇒ θ = 41.4096221....
⇒ θ = 41° (to the nearest degree)
Paint can be purchased in two sizes: 1 gallon for $45.99 or 1 quart for $14.99.(round to the hundredths place)a.unit ratio of 1 quart (32oz) for $14.99is __________b.unit ratio of 1 gallon (128oz) for $45.99is __________c.which is the better deal?
Answer:
a. $0.47 per ounce
b. $0.36 per ounce
c. the gallon size costs less per ounce
Step-by-step explanation:
A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.
__
a.Unit cost for a quart:
ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz
__
b.Unit cost for a gallon:
ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz
__
c.The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.
If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.
a shopkeeper purchased a TV at ₹15,000 and gives a discount of 20% on its marked prize and still got a profit of 8% . find the marked prize of the TV .
[tex]\huge\sf\underline{Answer} [/tex]
[tex]\sf\longrightarrow selling \: prize \: = \frac{100 + profit\%}{100} \times cp[/tex]
[tex]\sf\longrightarrow \frac{108}{100} \times 15000 = 16200[/tex]
Let the marked prize of the TV be x .
[tex]\sf\longrightarrow discount = 20\% \: of \: x \: = \frac{20}{100}x = \frac{x}{5} [/tex]
We have SP = MP - Discount
[tex]\sf\longrightarrow 16200 \: = \: x - \frac{x}{5} [/tex]
[tex]\sf\longrightarrow 16200 \: = \frac{4x}{5} [/tex]
[tex]\sf\longrightarrow x \: = \: 20250[/tex]
Hence , The marked prize of the TV is ₹20,250 .
Hope it helps ~
Look at the top 3 banking activities done via mobile banking vs. online banking. what characteristics do you
notice for both?
The characteristics I notice in top 3 mobile banking vs. online banking. is that:
They are both flexible.They are both used for transferring fundsThey can both be used to Online bill pay.Both can be used to monitor account.What are the top 3 banking activities done via mobile banking?They are:
Checking of an account balance or checking recent transactions.Downloading of mobile banking app.Transferred money between two accounts.The top 3 banking activities done via online banking are:
Transferring of fundsLooking at account balances at any time.Looking or printing statements.Therefore, the characteristics I notice in top 3 mobile banking vs. online banking. is that:
They are both flexible.They are both used for transferring fundsThey can both be used to Online bill pay.Both can be used to monitor account.Learn more about banking activities from
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Find the value of x for which l is parallel to m 105 (3x-18)
The value of x for which the lines m and l are parallel is 31 degrees
Parallel linesThe given diagram includes two parallel lines m and l, since the line are parallel hence the sum of the angles 105 and 3x - 18 are supplementary that is;
105 + 3x - 18 = 180
Simplify for the value of x
87 + 3x = 180
3x = 180 - 87
3x = 93
x = 93/3
x = 31
Hence the value of x for which the lines m and l are parallel is 31 degrees
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Find the value of x.
Round to the nearest tenth.
B
29
26
X
Α'
C
50
x = [?]°
Law of Cosines: c² = a² + b² - 2ab cos C
Please Help
The measure of the missing angle x is 23.22 degrees
Cosine ruleThe expression for representing cosine rule is expressed as:
c² = a² + b² - 2ab cos C
Given the following parameters
a = 26
b = 50
c = 29
Substitute
c² = a² + b² - 2ab cos C
29² = 26² + 50² - 2(26)(50) cos C
841 = 676 + 2500 - 2600cosC
2335 =2600cos C
cos C = 2335/2660
C = 23.22 degrees
Hence the measure of the missing angle x is 23.22 degrees
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Answer:
23.2 is the correct answer given you need to round to the nearest tenth.
Please help
Find f(f(x))
f(x)=x^2
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?
[tex]|\Omega|=1+2+3+3=9\\|A|=3\\\\P(A)=\dfrac{3}{9}=\dfrac{1}{3}\approx33,3\%[/tex]
Please Help I Don't Understand!
The value of x is 8 from the diagram given.
How do you calculate the sides of similar triangles?The corresponding sides of a similar triangle are said to be in proportion if and only if the corresponding angle are also equal.
To calculate the side of line x (|x|), we have to determine the ratios of the corresponding sides as:
[tex]\mathbf{\dfrac{BC}{DC} = \dfrac{AC}{EC}}[/tex]
[tex]\mathbf{\dfrac{x}{10} = \dfrac{12}{15}}[/tex]
x = 120/15
x = 8
Therefore, we can conclude that the value of x is 8.
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Determine when both options will cost you the same amount and how much is that?
Answer:
after 25 months both options cost $2000
Step-by-step explanation:
the options are the same at the point of intersection of the 2 lines
the lines intersect at (25, 2000)
That is after 25 months both options will cost $2000
A ball is kicked upward with an initial velocity of 52 feet per second. The ball's height, h (in feet), from the ground Is
modeled by h= -16t^2 +52t where t is measured in seconds. How much time does the ball take to reach its highest
point? What is its height at this point?
Check the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+52}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 52}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (52)^2}{4(-16)}\right) \implies \left( - \cfrac{ 52 }{ -32 }~~,~~0 - \cfrac{ 2704 }{ -64 } \right)[/tex]
[tex]\left( \cfrac{13}{8}~~,~~\cfrac{169}{4} \right)\implies \underset{\stackrel{\uparrow \hspace{3em}}{seconds\qquad }}{\stackrel{\stackrel{\qquad feet}{\hspace{3em}\downarrow }}{\left( 1\frac{5}{8}~~,~~42\frac{1}{4} \right)}}[/tex]