Answers
Related Questions
Write an inequality for the statement the temperature is greater than 100°F
Answers
T > 100 oF
PLS HELPPP !! BRAINLIEST!!
Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?
A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3
Answers
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answers
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]The formula to calculate the gravitational force between two objects is F_g=GM_1M_2/r^2, where M_1 and M_2 are the masses of the objects, G is the gravitational constant and r is the distance between the objects. Solve for M_1 in terms of F_g, G, M_2 and r.
Answers
Answer:
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Step-by-step explanation:
From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:
[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]
Thus, cross multiply to have;
[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]
then divide through by G[tex]M_{2}[/tex] to have,
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
The equation shown has an unknown number ⍰÷3/4=4/9
Answers
Answer:
9
Step-by-step explanation:
Joe buys 6 adult tickets and 4 child tickets for the movies. Each adult ticket cost $9. Each child ticket cost the same amount. Joe pays with a $100 bill and gets $22 in change. How much does each child ticket cost?
Answers
Answer:
Each child ticket cost = $6
Step-by-step explanation:
Joe has = $100
His balance after tickets purchase = $22
Actual amount spent on tickets = $100 - $22 = $78
But,
Each adult ticket cost = $9
Total no of adult = 6
Total amount spent (adults) = $9 x 6 = $54
Balance remaining = $78 - $54 = $24
Amount spent of 4 child tickets = $24
No of children = 4
Therefore,
Amount spent on 1 child (1 ticket),
= $24/4 = $6.
It could be seen that each child ticket cost six dollars.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
not sure but i think c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?
Answers
Answer: Carlos does not have enough wires by 0.1 meters
Step-by-step explanation:
To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.
= 0.9 + 0.9 + 0.9
= 2.7 meters
Carlos has 2.6 meters of wire but needs 2.7 meters.
Carlos therefore, does not have enough wires.
Is parallelogram BCDE a rectangle?
Answers
help plzzzzzzzzzzzzzz
Answers
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
May someone please help me with this :)
Answers
Answer:
14.3 yd
Step-by-step explanation:
apply the pythagorean Theorem formula:
= sqrt(14^2 +3^2)
= sqrt(205)
roughly 14.3 yd
If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .
Answers
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:
[tex] \omega = \frac{v}{r} [/tex]
Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!
5 1 point > 키 Angles x and y are complementary in the diagram shown. 1 2 Z X 3 35° у 4 What is the measure, in degrees, of angle z? 5 Type your answer... 5
Answers
Answer:
∠z = 55°
Step-by-step explanation:
90° - 35° = 55°
How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in the ratio
2, the least number given in the ratio
14, the least common multiple of the numbers given in the ratio
9, the sum of the numbers given in the ratio
5, the difference of the numbers given in the ratio
7, the greatest number given in the ratio
Answers
9514 1404 393
Answer:
9, the sum of the numbers given in the ratio
Step-by-step explanation:
The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.
It is convenient to think of the line segment as being divided into 9 equal parts.
_____
Additional comments
It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.
It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.
help! parallel, perpendicular, or neither?
Answers
Answer:
parallel
Step-by-step explanation:
Because a is pependicular to k
Hope that’s helpful :)
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 23‾√ cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answers
Answer:
41.57 cm²Step-by-step explanation:
to understand thisyou need to know about:geometryPEMDAStips and formulas:area of a regular hexagon when apothem is given:½×P×Alet's solve:parimeter of a regular hexagon:6a
therefore
=½×[4×6]×2√3 cm²
simplify parentheses:
=½×24×2√3 cm²
simplify fraction:
=24×√3 cm²
=41.57cm²
Answer:
41.57
Step-by-step explanation:
took the test
can someone help please
Answers
half of the triangle is a right angle triangle, so we use the phythagoras theorem and multipy our answer by 2
Ab and cd intersects at e, aec=5x+12 and deb=8x-3
Answers
Answer:
x = 5
Step-by-step explanation:
Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.
8x - 3 = 5x + 12
3x = 15
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
Answers
5 because of slope equation
Find the simple interest paid to the nearest cent for each principal, interest rate, and time. $570, 2%, 4 years
Answers
Answer:
570 of 2% 4years
570×2÷100 4years
11.5 × 4÷12
3.8..
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answers
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
If I have 14 neutrons and 11 electrons, what is my mass number?
A.25
B.3
C.11
D.14
Answers
Answer:
A : 25
Step-by-step explanation:
In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.
The mass number is the sum of the number of neutrons and the number of protons.
mass number=protons+neutrons
As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.
mass number = 14 + 11
If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
balance of trade within this group?
a €4,378,000,000
€2,797,000,000
€1,928,000,000
d €738,000,000
Answers
Answer:
€4,378,000,000
Step-by-step explanation: just took the test :)
Answer:
A
Step-by-step explanation:
Took the test
Cant seem to figure out the answer help?
Answers
Answer:
The surface area is 900cm^2
Step-by-step explanation:
Multiply 3 and 10 to get 30
Then square 30 by multiplying 30 x 30, to get 900.
Answer:
The Surface of the area is 30.
Step-by-step explanation:
Multiply 3 and 10. And you get 30. Hoped this helped : )
SIMPLE 7TH GRADE MATH PROBLEM?!?!
Answers
Answer:
I'm sure it is 25 hope this helps!!!
Answer:
Should be 25
Step-by-step explanation:
Lol is that pearson realize? i hate that buddy good luck
Please answer the question above.
Answers
Answer:
∠2 = 80°
Step-by-step explanation:
∠1 and ∠2 are supplementary angles (their sum is 180°)
[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.
Answers
Answer: I dont know AZ
You buy a TV that costs $550 and you pay 6% sales tax. How much do you pay in total for the TV?
$33
$583
$517
$187
Answers
Answer:
$583 :)
Step-by-step explanation:
well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!
The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building
Answers
a^2 + b^2 = c^2
14^2 + 2^2 = 200
squareroot 200 is abt 14.14
Answer:
Step-by-step explanation:
The height of the building is 8 rad 3
Approximately 13.9 ft
(1/p-p)(1/p-q)-q/p^2(1/q+qp^2)