Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)
Step-by-step explanation:
7(3) - 3(4) > 10
21 - 12 > 10
9 > 10
0 > -1
The solution for the inequality is not in the given options.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 7x – 3y > 10
Seven x minus three times of y greater than ten
Now let us consider all the options to find the ordered pair of inequality.
When we substitute x and y value it should be greater than 10.
(1,2)
7(1)-3(2)>10
7-6>10
1>10 NO
(1,0)
7(1)-3(0)>10
7>10 NO
(3,4)
7(3)-3(4)>10
21-12>10
9>10 NO
(1,-1)
7(1)-3(-1)>10
7+3>10
10>10 NO
Hence the solution for the inequality is not in the given options.
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PLEASE HELP ME!!!
You and your friend got tricked into helping another friend move stuff from a garage into moving truck. The ramp used is 12 feet long and makes a 36° angle with the horizontal ground. You discover that the incline is just too steep, so you replace the ramp with one that is 32 feet long. What angle does this replacement ramp make with the ground? Round your answer to the nearest tenth of a degree
Answer:
12.73 Degrees
Step-by-step explanation:
I'm going to assume some things. The height of the truck is not changing, i.e. the the distance and length of the ramp is but the height stays the same.
We draw our right triangle, see photo
We really only care about finding out what side a is so
[tex]c = \frac{a}{ \sin(x) } [/tex]
Note: Let x = A
[tex]12 = \frac{a}{ \sin(36) } [/tex]
[tex]12 \sin(36) = a \\ a = 7.05342302750[/tex]
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{12} ) \\ = 35.9999 \: degrees[/tex]
So, since I stated that height did not change, same process just using 32 for the hypotenuse.
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{32} ) \\ = 12.73367164 \: \: degrees[/tex]
Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answer:
42.50 units²
Step-by-step explanation:
Area of the trapezoid = ½(AB + DC)×AD
AB = 6
DC = 11
AD = ?
Use trigonometric function, TOA to find AD:
Tan 45 = Opp/Adj
Opp = AD
Adj = 11 - 6 = 5
Tan 45 = AD/5
5 × tan 45 = AD
AD = 5
✔️Find Area of trapezoid.
Area = ½(AB + DC)×AD
= ½(11 + 6)×5
= 42.50 units²
Help? I will give brainlist ! also I report people who add links :) have a good day!
Answer:
1/2 < 3/4,
6/12 < 5/8,
2/3 = 4/6,
3/8 > 1/4
Step-by-step explanation:
Plz mark as Brainllest
Simplify the radical expression. ⁴√81x²⁰y²⁴
I think it's either A or B
Answer:
3x^5y^6 (a)
Step-by-step explanation:
La raiz de un productor es igual al producto de las raices de cada factor
^4√81 ^4√x^20 ^4√y^24
escriba el numero en forma exponencial an base 3
^4√3^4 ^4√x^20 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 y^6
simplifica el indice de la raiz y el exponente usando 4
3x^5y^6
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
Answer:
2√3 = hypotenuse
√3 = side
Step-by-step explanation:
[tex]\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\[/tex]
Answer:
the smaller side=√3
hypotenuse=2√3
Step-by-step explanation:
(see the attachment below)
Julio invests $6,100 into an account that earns 5.2% annual compound interest. If Julio makes no additional deposits or withdrawals, which best represents the amount of interest Julio will earn after 8 years?
A $15,250.73
B $2,120.73
C $3050.73
D $9150.73
D) $9150.73
Step-by-step explanation:
Simple compound irate =
principal*growth rate^years
or
V(t) = p*g^t
Where g = 100% + the given growth rate,
in this case, 5.2%
So,
V(8) = 6,100*1.052^8
V(8) = 9150.73
find the area, round to the nearest tenth if necessary
9514 1404 393
Answer:
78 in²
Step-by-step explanation:
The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...
A = bh
A = (12 in)(6.5 in) = 78 in²
The figure shows the dimensions of a room. How much carpet is needed to cover the floor of the room?
Length = 4m
width = 6m
Answer: 24m
Step-by-step explanation:
How much carpet is asking the area and area= LW
so Length(4) x Width(6) = 24
HELPPPPPP PLS!!!!!!!!!
Answer:
y-25=180
Step-by-step explanation:
Same line so 180 degrees.
Answer: D or “y + 25 = 180”
a straight line is 180 degrees, therefore the combination of two angles should equal 180.
With that being said the answer should be y plus 25 = 180!
to find y, flip the equation: 180 - 25 = 155. Therefore y = 155 :)
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Solvefor x. 3x+ 2 = 9 –x
Answer:
x = 7/4
Step-by-step explanation:
3x+ 2 = 9 –x
3x + x = 9 - 2
4x = 7
x = 7/4
First, write the expression Second, 7 in fol the variable, p. Third, by 7 and 5. The answer is
Answer:
p-5
substitute
simplify
subtracting
2
Step-by-step explanation:
got it right on edg
Tell if the slope is positive, negative, zero, or no slope.
POSITIVE
Answer:
Negative
Step-by-step explanation:
The line is trending downwards, which is indicative of a negative slope.
Please help quickly what's the answer Ill give u brainlest
Richard deposits $193.67 every month into his mortgage. At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?
What is the cube root of -729ab6?
O-9ab2
O
-9ab3
O-8a3b2
O
-8a²b3
Answer:
Step-by-step explanation:
The way they are written, question does not fit any of the choices. Did you mean ∛(-729ab⁶) ? ∛(-729a³b⁶) ?
Stacy walked 0.550 kilometers from her house to her school. Which of the following is equivalent to this distance?
A. 5.5 mm
B. 55 cm
C. 550 m
D. 5500 km
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
JKM IHF
Step-by-step explanation:
Those are outer obtuse angles
Answer:
∠JKM and ∠IHF are alternate exterior angles
(08.03) Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
pls help me I am in the middle of a test! If i get a bad grade I wont be able to go with my friends
Answer:
It would be right skewed.
Step-by-step explanation:
As you can see, the graph gets smaller as it goes to the right.
PLZ GIVE BRAINLIEST
Helppp I’ll brainlest....
Answer:
1.) B
2.) B
Step-by-step explanation:
1.) The outlier is a dot that is no where near the rest of the data.
2.) The median can be found by writing down all of the numbers from left to right (example... Test 1 would be 50 60 60 60 60 70 70 75 75 75 75 80 80 80 85) and then cross out numbers from each side until you just have one number in the middle.
For test 1 the median is 75
For test 2 the median is 85
Solve these equations.
Step-by-step explanation:
no solutions
because the absolute value of any number can never be negative.
What is JM? please help :((
Answer:
I think its D 30
Step-by-step explanation:
Find AB, B equal 44° C equals 53° and b equals 7
Answer:
Step-by-step explanation:
Remark
I take it you are studying the sine law. If that is so, Then it will be set up as
Formula
x/sin(53) = 7 / sin(44) Multiply both sides by Sin(53)
Solution
Sin(53)x/Sin(53) = 7 sin(53)/Sin(44)
x = 7*Sin(53)/Sin(44)
x = 7 * 0.7986/0.6947
x = 8.0848
Note:
The sine law is always set up by 2 ratios. It consists of the sine of an angle divided by the side opposite = equal to another angle's sine over the side oppose the second angle.
The sine law can also be set up as two ratios side opposite / sin(Angle).
if z is real then what is z*?
Answer:
Step-by-step explanation:
z is a non negitave real number
A bag of trail mix contains 3 ounces of peanuts, 6 ounces of cranberries, 2 ounces of almonds, and 2 ounces of raisins.
What is the ratio of ounces of peanuts to ounces of almonds? Write the ratio in three different ways?
Answer: 9514 1404 393
3 : 2
3/2
1.5
Step-by-step explanation:
Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)
3 ounces of peanuts to 2 ounces of almonds can be written as ...
peanuts : almonds = 3 : 2 = 3/2 = 1.5
What is the solution to 5/6 X 2/3 =
? Mark the TWO correct
answers.
Answer:
5/9
Step-by-step explanation:
Answer:
i think is 5/9 :))
Two investments totaling $15,500 produce an annual income of $1450. One investment yields 10% per year, while the other yields 5% per year. How much is invested at each rate?
Answer:10% rate:
Principal = p
Rate = 0.10
Interest = 0.10p
5% rate:
Principal = 15500 - p
Rate = 0.05
Interest = 0.05(15500 - p) = 775 - 0.05p
0.10p + (775 - 0.05p) = 1450
0.05p + 775 = 1450
0.05p = 675
p = 13500
10% rate:
Principal = p = $13,500
5% rate:
Principal = 15500 - p = 15500 - 13500 = $2000
Step-by-step explanation:
hope it helps
Find the value of x
Answer:
x=66
Step-by-step explanation:
A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x
please answer you will be awarded brainleist
Answer:
Hi, I'm here!
The value of x must be greater than
B
12
...d
0 0
A
15
0 1
O 3
07
9514 1404 393
Answer:
(c) 3
Step-by-step explanation:
The value of x must be between the difference and sum of the lengths of the other two sides. The value must be greater than 15-12 = 3.
x > 3