Answer:
A) [tex]4\cos^2\theta=3[/tex]
B) [tex]81\tan^2\theta=27[/tex]
Step-by-step explanation:
[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]
[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]
[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]
Michael has saved $40. He got a summer job mowing lawns, and gets $9 for every lawn he mows. How many lawns does Michael need to mow to save exactly $121, the cost of a concert ticket?
Answer:
9
Step-by-step explanation:
9 × 9 = 81
81 + 40 = 121
121 is the amount of money you want so you just have to mow 9 lawns to get your exact amount of money you need.
Use the picture below to answer the following questions.
(Angle COD is a Right Angle.) 35
Which Angle is Supplementary to Angle BOC Select an answery
Which angle is Complementary to Angle BoC Select an answery
What is the measure of Angle EOF
What is the measure of Angle AOE
What is the measure of Angle BOF
pema bedroom is 8 foot long and 14 feet wide
Answer: Area = 112 Perimeter = 44
Step-by-step explanation:
Area = length × width = 8× 14 = 112
Perimeter = 2L + 2B = (2×8) +(2×14)
Perimeter = 16 + 28 = 44
Write a negative function h(x)
with a y-intercept at "-4" with
one solution
Answer:
[tex]\sf h(x) = y -4[/tex]
is 1 cubic unit. What is the volume of the following figure?
All of the cubes are visible
A. 7 cubic units
B.9 cubic units
C.10 cubic units
D.8 cubic units
A taiga biome is DIFFERENT from a tundra biome because it has
D
Which numbers are prime numbers?
5
14
13
4
9
none of the above
Answer:
5 and 13 are prime numbers
Step-by-step explanation:
Answer: 5, 13,
Step-by-step explanation:
Use the quadratic formula to solve for x.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas
Consider the following statistic. as of january 2009, the usa has produced 60,000 metric tons of nuclear waste in 60 years of operating 104 nuclear power plants. on average, how much waste is produced by each plant on a monthly basis? 0.8 tons per month 83.3 tons per month 104 tons per month 866.3 tons per month
Using proportions, it is found that the average waste produced by each plant on a monthly basis is of 0.8 tons per month.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there is a period of 60 x 12 = 720 months, with 104 plants, and 60,000 tons of waste were produced, hence the average is given by:
A = 60000/(720 x 104) = 0.8 tons per month.
More can be learned about proportions at https://brainly.com/question/24372153
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Find the number that makes the ratio equivalent to 42:35.
Answer:
6
Step-by-step explanation:
35 divisible by 5, (5*7=35)
42 divisible by 7 (7*6=42)
Answer:
[tex]6:5[/tex]
Step-by-step explanation:
[tex]\dfrac{42}{35}= \dfrac{6 \times 7}{5 \times 7} = \dfrac 65[/tex]
hey dogzine could you help me what is 2x9x3x45
Answer:
the correct answer is 2430
Which math sentence can be used to determine if this triangle is a right triangle? A triangle has side lengths 12, 15, 18. 12 + 15 = 18 12 squared + 15 squared = 18 squared 12 + 18 = 15 12 squared + 18 squared = 15 squared
Answer:
12^2 + 15^2 = 18^2
Step-by-step explanation:
If we have 3 sides of a triangle we can use the Pythagorean theorem to determine if the triangle is a right triangle
a^2 + b^2 = c^2
12^2 + 15^2 = 18^2
If this is true, then the triangle is a right triangle
Answer:
b
Step-by-step explanation:
I need help wit part b
Answer:
4a) $26.5 because if x represents how many feet then the slope would be the price of one glulam beam.
4b) $63,600
Step-by-step explanation:
To find the answer to 4b we need to alter the equation we were given. Since x represents how many feet we buy we put 2400 in place of x.
y = 26.5 x 2,400
and we simply solve from here
y = 63,600
So, 63,600 is how much we would be spending for 2400 feet of beams. Hope this helps!!
What is the sum of the finite arithmetic
series?
29 + 32 + 35 + 38 + 41 + ... + 59
The sum of the finite arithmetic series of 26 + 29 + 32 + 35 + 38 + 41 + 44 is 245. Arithmetic series is a sequence of number such that the difference between any term and the previous term is a constant number. When we sum a finite number of terms in the arithmetic series, we get the finite arithmetic series.
HELPPPPPPP!!!!!!!!!!!!!
Answer:
[tex]b^{2} \sqrt{30b}[/tex]
Step-by-step explanation:
I need this pls!! I forgot my notes :(
Answer:
D
Step-by-step explanation:
when x = 0, y = 40
therefore you can pick either A or D only.
while x increases, y decreases, that's negative relation
so, answer is D
Answer:
Option D
Step-by-step explanation:
y = mx + b
b is the y - intercept (when x = 0):
this graph doesn't show any negative values on the axis so options B and C can't be true since it they have - 40 when its positive 40
y = mx + 40
The dot association is going downwards, the y values are getting smaller
making this a negative association leaving on ly option d true
State the interval where the median lies.
P.s please try asap, need this done quickly haha
Answer:
see the attachment photo!
Which expressions are equivalent ( 0.2) 3 x ( 0.3 ) 4?
Hey there!
Assuming you meant….
(0.2)^3 * (0.3)^4
= 0.2^3 * 0.3^4
= 0.2 * 0.2 * 0.2 * 0.3 * 0.3 * 0.3 * 0.3
= 0.04 * 0.2 * 0.09 * 0.09
= 0.008 * 0.0081
= 0.0000648
≈ 0.000065
Therefore, your answer should be:
0.0000648
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Step-by-step explanation:
[tex] \tt{}(0.2 {)}^{3} \times (0.3 {)}^{4} [/tex]
[tex]\tt{}0.3 \times 0.06 ^{3} [/tex]
[tex]\tt{} \frac{3}{10} \times ( \frac{3}{50} {)}^{3} [/tex]
[tex]\tt{} \frac{3}{10} \times \frac{ {3}^{3} }{ {50}^{3} } [/tex]
[tex]\tt{} \frac{ {3}^{4} }{10 \times 50 ^3 } [/tex]
[tex]\tt{} \frac{81}{10 \times 5 {0}^{3} } [/tex]
[tex]\tt{}6.48[/tex]
Pete is making decorations for a dinner party.
The instructions tell him to use 9 flowers for a medium-sized decoration.
Complete each statement to adjust the flowers for different-sized decorations based on these instructions.
Tiva earns $48 for 6 hours of babysitting.
Complete each statement if Tiva keeps earning her babysitting money at this rate.Tiva earns $48 for 6 hours of babysitting.
Complete each statement if Tiva keeps earning her babysitting money at this rate.
The daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.
What is algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Pete is making decorations for a dinner party. The instructions tell him to use 9 flowers for a medium-sized decoration which has 2 lilies, 1 rose, 3 carnations, 2 daffodils and 1 iris.
The ratio of daffodils to total flower is,
n=2/9.
To make a large decoration, Pete uses 36 flowers. Let suppose the daffodils flower he needs for this is x. Thus,
x=36*(2/9)
x=4*2
x=8
The rose flower is increased from 1 to 2. Thus, the total number of flower also be twice for decoration.
Flower=2*9
Flower=18
Now Pete uses 10 lilies instead of 2 which is 5 times the medium-sized decoration. Thus, the carnations to be needed is,
Carnations=3*5
Carnations=15
Hence, the daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
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If the value of a in the quadratic function f(x) = ax2 + bx + c is 1/2, the function will_______. A) open down and have a maximum B) open up and have a maximum C) open down and have a minimum D) open up and have a minimum
Answer:
B
Step-by-step explanation:
Since A is a positive number then the function must open up and since it is positive it also must have a maximum
Answer:
B
Step-by-step explanation:
it's the one that makes sense in my opinion if it's not correct I'm sorry :(
Last week, Andre had a balance of -$18 in his savings account This week, the balance is $23. Which equation would show the change, sin his account?
A) -18 + c = 23
B) C + 18 = 23
C) C + -18 = -23
D) -18-C = -23
The algebraic equation for a linear pattern is 3x + 4. Use a table of values to
show the first 5 terms of the pattern.
Answer:
explanation and answer
Help me please thank you.
1. Area of a triangle= 1/2×base.height
=1/2.14.10
=70
2. Area of a trapezium=(base 1+base 2/2)×height
= (3+7/2)×4
=20
PLS HELP I NEED TO FINISH
If x= -5 and y=3x-1 then y equals what number?
I need to show work <3
Answer:
y is -16
Step-by-step explanation:
Fory =3x -1
Substitute x= -5
y=3(-5) -1
3(-5) -1= -16
y= -16
Select all the irrational numbers
Answer:
A and E would be your answer
Step-by-step explanation:
а(-9, -5), b(6, 5), C(-2, 5)
Answer:
See below
Step-by-step explanation:
Equation: y = [tex]-\frac{2x^2}{21} + \frac{8x}{21} + \frac{43}{7}[/tex]
Slope-intercept form: [tex]y = \frac{2}{3} x + 1[/tex]
Point slope form: [tex]y + 5 = \frac{10}{7} * (x+9)[/tex]
x is greater than or equal -3 and less than 5
use x only once in your inequality
Answer:
-3 <= x < 5
Step-by-step explanation:
Because x is less than 5, we put a less than sign. And x is greater than or equal to -3, so we have to put that specific sign.
Suppose you roll a single die 5 times. What is the probability of rolling a 3, exactly 4 times?
Use the formula pH=log(1/[H^+]) to write an expression for the concentration of hydrogen ions in a liter of a sports drink that has a pH of 2.5.What is the concentration of hydrogen ions?
By using concepts of logarithms and powers, the concentration of hydrogen ions in a volume of a liter of a sports drink with a pH of 2.5.
How to solve a logarithmic formula
Logarithms are trascendental equations, that is, expression that cannot be described in terms of algebraic expressions. In this question we need to solve for the hydrogen ion concentration:
pH = log (1/[H⁺])
[tex]10^{pH} = \frac{1}{[H^{+}]}[/tex]
[tex][H^{+}] = 10^{-pH}[/tex]
[tex][H^{+}] = 10^{-2.5}[/tex]
[H⁺] ≈ 3.163 × 10⁻³
By using concepts of logarithms and powers, the concentration of hydrogen ions in a volume of a liter of a sports drink with a pH of 2.5.
To learn more on logarithms: https://brainly.com/question/24211708
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in need of help please :)
Answer:
1) 12/13 or 0.9998
2) 27°
3) a. yes b. no c. yes d. no
4) ? a) b) e) d)
5) ? a. true b. true
Step-by-step explanation:
1. cos= adjacent/hypotenuse
2. sin (63°)= cos (27°)
3. sin = opposite/hypotenuse cos= adjacent/hypotenuse tan= opposite/adjacent
4. not so sure about the answer
5. not so sure about the answer
