Answer:
The third one counting from the top.
Step-by-step explanation:
We have the inequality:
(-1/3)*(2x + 1) < 3
The first thing we need to do is isolate x on one side of the inequality.
First we can by -3 in both sides of the inequality, and remember, because we are multiplying by a negative number, the inequality sign changes its direction:
(-3)*(-1/3)*(2x + 1) > 3*(-3)
(2x + 1) > -9
Now we can subtract 1 in both sides:
2*x + 1 - 1 > -9 - 1
2*x > -10
Now we can divide by 2 in both sides:
2*x/2 > -10/2
x > -5
Then we should see a number line such that all the points at the right of -5 are colored.
The correct option is the third one, counting from the top.
Confused bab in need ☹️
Answer:
25 in^2
Step-by-step explanation:
So the area of a triangle is (Base * Height) / 2. The base, which is where the triangle "sits" is 10 in. The height is 5 in.
With this, these numbers can both be plugged in to get the answer:
(10 * 5) / 2
50/2
25 in^2
It is squared after the units since it is the area.
2x + y = 3
x = 3y + 5
subsitution method
Step-by-step explanation:
2x+y=3
y=3-2x.....eqn (1)
x=3y+5.....eqn(2)
substituting the value of y from eqn 1
x=3(3-2x)+5
x=9-6x+5
x+6x=14
7x=14
x=14/7
x=2
substituting the value of x in eqn 1
y=3-2×2
y=3-4
y=-1
therefore,
x=2
y=-1
6. Nuni Lal borrowed RS. 2400 as a Loan for 5 years at
the rate of 6% per annum. Then immedietly he Lent the
Same amount to Briju Lal for 4 years at the rate of 10 percent
annum. How much profit or loss did nuni lal
make in this transaction. find it?
Step-by-step explanation:
hope it is helpful to you
In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest
inch.
Given:
In triangle GHI, h = 300 inches, G=30° and H=29º.
To find:
The length of i.
Solution:
We have, G=30° and H=29º.
Using angle sum property, we get
[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]
[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]
[tex]59^\circ+m\angle I=180^\circ[/tex]
[tex]m\angle I=180^\circ-59^\circ[/tex]
[tex]m\angle I=121^\circ[/tex]
According to Law of sines,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using Law of sines, we get
[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]
[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]
[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]
Multiply both sides by 0.8572.
[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]
[tex]530.44554=i[/tex]
[tex]i\approx 530[/tex]
Therefore, the length of i is about 530 inches.
Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12 of sheet of paper to make the flower. True or false
Answer:
true
Step-by-step explanation:
subject?
What would you have to show in order to prove that a quadrilateral is a rectangle?
A. Consecutive sides are congruent, but opposite sides are not.
B. All sides are congruent.
С. Opposite sides are parallel.
D. Consecutive sides have opposite reciprocal slopes.
Answer:
c
Step-by-step explanation:
Help me pls it’s math TwT
5) help with math question (in photo)
Pls don’t put answer in a link
Answer:
38.2
Step-by-step explanation:
d^2=1458
d=38.18
What digit is the most frequent between numbers 1 and 1,000(inclusive)?
Answer:
Total appearances = 9+180+3 = 192. It is obvious that the most frequent digit is 1. Number of digits from 1 to 1000. Total = 2893.
solve the equation for y
1/2y - 21/4 = -35/4
Answer:
[tex]1/2y - 21/4 = -35/4[/tex]
[tex]1/2y = 21/4 -35/4[/tex]
[tex]1/2y = - 7/4[/tex]
[tex]y = - \frac{7}{2} [/tex]
What is the perimeter of this red
polygon?
27 in
22 in
22 in
98 in
[ ? ] in
Answer:
Entire perimeter = 169in
Step-by-step explanation:
add all the inches up
The perimeter of the polygon drawn is the sum of its entire sides , which is 169 inches.
Given the polygon with the measure of its exterior :
22 inches 98 inches 22 inches 27 inchesThe perimeter of the polygon is the sum of the exterior sides of the figure given :
98 + 22 + 22 + 27 = 169 inchesTherefore, the perimeter of the polygon is 169 inches .
Learn more on perimeter : https://brainly.com/question/19819849
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hey! i’ll give brainliest please help! thanks
Answer:
I think it might have been D, becoming a monarch, because he wanted to rule the world I guess.
Step-by-step explanation:
I recommend you put this under history instead of mathematics.
What is the surface area of this figure? Round to the nearest tenth if necessary.
10 ft
12 ft
6 ft
8 ft
Answer:
336 ft ²
Step-by-step explanation:
Find the area of the two triangles
In this case, both triangles are the same, so we can modify the formula for area of triangle
In the formula, we divide by two, but because we multiply the area by two for the two triangles, we can just use base x height
Triangles = 6 x 8 = 48 ft²
top rectangle = 10x12 = 120 ft²
bottom rectangle = 8x12 = 96 ft²
back rectangle = 6x12 = 72 ft²
Total = 48 ft² + 120 ft² + 96 ft² + 72 ft² = 336 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which number is rational?
O √2
O π
O √10
O √16
The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.
(7 + 5) · 2 - 4² ÷ 8 + 3
what is the answer for this? show work too
Answer: 0.5
Step-by-step explanation:
You need to use
Brackets
Indices
Division
Multiplication
Addition
Subtraction
7 + 5 =12
12 - 16 = -4
-4 / 8 = -0.5
-0.5 + 3 = 2.5
2.5 - 2 = 0.5
Answer: 4
Step-by-step explanation: 7+5=12
12×2=24
24- (4×4)= 24-16=8
8÷8=1
1+3=4
If 7x + 3 = 24, what is the value of 5 - 4x?
Answer:
Step-by-step explanation:
7x + 3= 24
7x= 24-3
7x= 21
x= 21/7
x= 3
Then we have that
5-4x
5-4(3)
5-12
Answer= -7
Which of the following would best be solved using completing the square?
5x^2+7x=12
X^2+4x-21=0
x^2=81
2x^3-12x^2+5x-30=0
Function g can be thought of as a translated (shifted) version of f(x) = 2?.
Write the equation for g(x).
NEED HELP ASAP
Answer:
g(x)=(x+5)^2
Step-by-step explanation:
the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive
g(x)=(x+5)^2
(x+5)^2=0
x+5=0
x=0-5
x=-5
Good Studies!!!
A 2.20 x 10-6 F capacitor is hooked
up to a 14.0 V power supply. How
much energy is stored in the
capacitor?
Answer:
[tex]E=2.15\times 10^{-4}\ J[/tex]
Step-by-step explanation:
Given that,
The capacitance of the capacitor, [tex]C=2.2\times 10^{-6}\ F[/tex]
Voltage of the power supply, V = 14 V
We need to find the energy stored in the capacitor.
The formula for the stored energy in the capacitor is given by :
[tex]E=\dfrac{1}{2}CV^2[/tex]
Put all the values,
[tex]E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J[/tex]
So, [tex]2.15\times 10^{-4}\ J[/tex] of energy is stored in the capacitor.
Y=(x-3)(x+5) in general form
Answer:
here is your answer
x²-9
10 points!! Can yo7 say the answer and explain it I will give brainleest
Answer:
Can you add if you can add you have to add up every thing and the answer will be
find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second
Answer:
990.56
Step-by-step explanation:
because, Distance=velocity× time
The system of equations below is consistents with infinity many solutions where a and b are constants.Find the values of a and b. 2x+y=6 ax+by=9
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.
Step-by-step explanation:
Two linear equations with two variables have infinite solution if and only if they are linearly dependent. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:
[tex]2\cdot x + y = 6[/tex] (1)
[tex]a\cdot x + b\cdot y = 9[/tex] (2)
The following condition must be observed:
[tex]r = \frac{a}{2} = \frac{b}{1} = \frac{9}{6}[/tex] (3)
After some quick operations, we find the following information:
[tex]r = \frac{3}{2}[/tex], [tex]a = 3[/tex], [tex]b = \frac{3}{2}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.
having a hard time with this
Answer:
the correct answer is D
Step-by-step explanation:
because the -9 5/8 is in absolute value marks.
please help me!!!!!!
The following figure shows \triangle ABC△ABCtriangle, A, B, C with side lengths to the nearest tenth. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Find m\angle Am∠Am, angle, A. Note that m\angle Am∠Am, angle, A is acute. Round to the nearest degree.
Answer:
62
Step-by-step explanation:
Khan Academy. I got this correct, so trust me :)
The measurement of the angle A for the considered triangle is found being of 62° approximately.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For the considered triangle, we can use sine rule.
In triangle ABC, we're given that:
|AC| = 8 units|BC| = 15 unitsm∠B = 28°m∠A = ?° (to be found)The side opposite to angle A is BC and the side opposite to angle B is AC. Thus, by sine law, we get:
[tex]\dfrac{\sin(m\angle A)}{|BC|} = \dfrac{sin(m\angle B)}{|AC|}\\\\\dfrac{\sin(m\angle A)}{15} = \dfrac{\sin(28^\circ)}{8}\\\\\sin(m\angle A ) \approx \dfrac{15 \times 0.46947}{8} \approx 0.88026\\\\m\angle A \approx \sin^{-1}(0.88026)\\\\m\angle A \approx 61.67^\circ, 118.32^\circ[/tex]
But since angle A is acute(angle with measure of less than 90 degrees), thus, m∠A ≈ 61.67° ≈ 62°
Thus, the measurement of the angle A for the considered triangle is found being of 62° approximately.
Learn more about law of sines here:
https://brainly.com/question/17289163
can someone help me ?
Answer:
2) x < 3
Step-by-step explanation:
The graph has an open circle (representing the signs < >) and its on the point "3". Since the line is going towards the left, it means x is less than 3. Therefore, the answer is 2) x < 3
A Taste Test ask people from Texas and California which pasta they prefer, brand A or brand B. This table shows the results.
Answer: Yes, they are independent because P(Texas) ≈0.45 and P(Texas/Brand A)≈0.45
who wants to really help me ill give brainlist and 5.0 and say thanks
Answer:
Because 5 + 9 = 9 + 5
Step-by-step explanation:
Answer:
Choice a is the correct answer
Step-by-step explanation:
Equalvalent expressions are two expressions that result with the same answer.
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