From the slopes it is confirmed that PQ || RS OR|| SP and therefore it is a parallelogram .
What is a Parallelogram ?A parallelogram is a quadrilateral in which the opposite sides are parallel.
The coordinates of a quadrilateral is given
To prove that it is a parallelogram
PQ || RS
OR|| SP
The slope of a straight line is given by
[tex]\rm m = \dfrac{y_2 -y_1}{x_2- x_1}[/tex]
For PQ
m = (-1/6) = -1/6
For QR
m = -6/1 = -6
For RS
m = 1/(-6) = -1/6
For SP
m = -6
From the slopes it is confirmed that
PQ || RS
OR|| SP
and therefore it is a parallelogram
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12 times a number is decreased by 10% of the number. Write an expression.
Answer:
something like below
Step-by-step explanation:
(12n) - (n * 10/100 )
Let the Universal set be the letters a through j: U = (a, b, ..., i, jJ. Let A = (b, e, g, i), B = {a, b, e, f), and C = {a, e, i, ji) List the elemefits of the set An (BU C)
Answer:
A ∩ (B U C) = {b , e , i}
Step-by-step explanation:
A = {b , e , g , i}
B = {a , b , e , f}
C = {a , e , i , j}
We note B U C ,The union of the two sets B and C
which is the set that contains all elements
that are in B or in C .
The easiest way to determine B U C :
Step1 : (write all the elements of B and C side by side)
B U C = {a , b , e , f , a , e , i , j}
Step2 : (delete the repeated elements)
B U C = {a , b , e , f , i , j}
FINDING A ∩ (B U C) :
it’s the set of elements that exist in both sets
A and B U C simultaneously:
A = {b , e , g , i}
B U C = {a , b , e , f , i , j}
Then
A ∩ (B U C) = {b , e , i}
The shadow of a tree is 10m longer when the angle of elevation of the sun is 45° than when it is 60°, find the height of the tree.
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The length of the tree is 23.66 meters.
What is Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Let the height of the tree be represented by x.
The length of the shadow when the angle of elevation is 45°.
Length of shadow = x/ Tan(45°)
The length of the shadow when the angle of elevation is 60°.
Length of shadow = x/ Tan(60°)
Now, since the difference between shadows is 10 meters. Therefore, we can write,
x/ Tan(45°) - x/ Tan(60°) = 10m
x[1/ Tan(45°) - 1/ Tan(60°) ] = 10 m
x (0.42265) = 10 m
x = 23.66 m
Hence, the length of the tree is 23.66 meters.
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The ingredients for your braised greens cost 1.32. You sell it for $4. What is your contribution margin?
Your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.
Selling price per unit less variable cost per unit equals contribution margin, often known as dollar contribution per unit. The amount of sales income referred to as "Contribution" is the fraction that is not used to pay variable expenses and hence helps to cover fixed costs.
Given ingredients for your braised greens cost 1.32$ and sells at $4
We have to find contribution margin on that
The difference between a venture's variable costs and its selling price is the contribution margin:
= Selling price - Variable cost
The selling cost is $4 and the variable costs are $1.32.
Therefore Contribution margin is as follow:
= 4 - 1.32
= $2.68
Hence your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.
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There are 230 calories in a 48 gram packet of M&M's. How many calories are in a 33.6 gram bag?
Answer:
161 calories
Step-by-step explanation:
1) Divide 230 by 48
4.791666666666667
2) multiply 4.791666666666667 by 33.6
161
Done! Your answer is 161 calories in a 33.6 gram bag. Or just 161.
Hope this helps!
please help me write an equation for this polynomial graphed
The equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).
here we have given the graph of the
The roots of the given polynomial is
x=-2,x=-1 and x=3
What is the polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Therefore the equation of the polynomial is
f(x)=(x+2)(x+1)(x-3)
Therefore the equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).
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The equation for this polynomial graphed will be P(x) = a(x + 2)(x + 1)(x – 3)³.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients.
The graph of the polynomial is given below.
From the graph, the roots of the polynomial will be -2, -1, and 3.
Then the factor of the polynomial will be
(x + 2), (x + 1), and (x – 3)
Then the polynomial will be
P(x) = a(x + 2)(x + 1)(x – 3)³
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What is the interval in which both f (x) and g(x) are positive?
A. (–1, ∞)
B. (2, ∞)
C. (3, ∞)
D. (–∞, 2) ∪ (2, ∞)
URGENT WILL GIVE BRANLIEST IF CORRECT!!! A car is moving at 22.5 m/s, when it begins to accelerate at 1.45 m/s². How much time does it take to travel 60.2 m?
(Unit = s)
Answer:
2.48 seconds
Step-by-step explanation:
See attached
2 Math questions! Offering the brainliest to who answers
Answer:
first one L second one D
Step-by-step explanation:
Show how to solve it step by step
tan(x)cot(x)=1
There are two ways to confirm the identity.
Method 1
[tex]\tan(x)\cot(x) = 1\\\\\tan(x)\frac{1}{\tan(x)} = 1\\\\\frac{\tan(x)}{\tan(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]
--------------------------------------------
Method 2
[tex]\tan(x)\cot(x) = 1\\\\\left(\frac{\sin(x)}{\cos(x)}\right)\left(\frac{\cos(x)}{\sin(x)}\right) = 1\\\\\frac{\sin(x)\cos(x)}{\cos(x)\sin(x)} = 1\\\\\frac{\sin(x)}{\sin(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]
(5+3√2)² simplify the following
Answer:
[tex](5+3\sqrt{2} )^{2} =43+30\sqrt{2}[/tex]
≈85.43
Step-by-step explanation:
apply the binomial theorem to the square
[tex]=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}[/tex]
[tex]=25+30\sqrt{2} +18\\[/tex]
[tex]=43+30\sqrt{2}[/tex]
≈85.43
Hope this helps
Hello!
Here, we apply the algebraic identity :
[tex]\boxed {(a + b)^{2} = a^{2} + 2ab + b^{2}}[/tex]
Let's solve!
⇒ (5 + 3√2)²
⇒ (5)² + 2(5)(3√2) + (3√2)²
⇒ 25 + 30√2 + 18
⇒ [tex]\boxed {43 + 30\sqrt{2}}[/tex]
∴ The final answer will be 43 + 30√2.
The measure of B is (3x-4)° and the measure of D is (2x-6)°. What are the measures of angles B and D?
Answer:
5x - 10
Step-by-step explanation:
→ Find the sum of the expression
3x - 4 + 2x - 6
→ Collect all the x terms
3x + 2x - 4 - 6
→ Simplify
5x - 10
what is the range of the ordered pairs shown in the graph
Answer:
D.
Step-by-step explanation:
It contains all the y-values of the points.
Answer:
Coordinates of all points
first = (-1 , 3)
second = (-2, 1 )
third = (-3 , -3)
fourth = (-4 , -5)
option 3
Which model represents 2 . 36 ÷ 4 ?
A. Three groups each have three tens and 4 ones.
B. There are three groups of five tens and 9 ones in each group.
C. There are four groups of three tens and six ones.
D. There are three groups of five tens and nine ones in each group
Determine if an exponential would be an appropriate model for the data shown in each scatter plot. Select one that applies.
Answer:
Graph 1: No, a linear model would be more appropriate.Graph 2: YesGraph 3: No, a quadratic model would be more appropriate.Need help! The answer is D, can anyone explain in detail how?
Answer:
D
Step-by-step explanation:
0.0378÷0.21=0.18
this is 18 hundredths
but its 180 thousandths
Explanation:
Now--this is an awfully odd way to word a question.
BUT, it is solvable!
digits have "place values" in numbers, let's focus on after the decimal point:
_ . _ _ _ _ _ '
we know this can go on forever, but we don't need it to (for this problem, that is)
_ . _ _ _
_ . {tenths} {hundredths} {thousandths} ........
we want to know how many thousandths we have:
the answer to this problem (0.0378 / 0.21) is 0.18
{let's consider what we know about place values:}
"10" can be thought of as ten-ones
and "1" can be thought of as ten tenths
{the reason it's always ten __ is that we use a base-ten system, and there are only ten options for each digit [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] }
so, 10 could be thought of as ten ones, which could each be thought of as ten tenths--meaning that 10 is the same thing as 100 tenths
[if you ignore the decimal point, it becomes more clear]:
10.0 [100]
likewise, 10.00 is 1000 hundredths; and 10.000 is 10,000 thousandths
--------
okay, back to our problem:
how many thousandths make up 0.18?
Let's write this out to the thousandths place:
0.180
if we use our tactic of ignoring the decimal, we are left with 0180 [of course, a "0" before a number has no value, so we can rewrite it as 180], or 180
so, 0.18 is really composed of 180 thousandths, which is how option D is the answer
hope this helps!! :)
{let me know if there's anything else you would like me to explain about this!}
write a linear function of f with f(-3)=-2 and f(-2)=3
Answer:
y=5x+13
Step-by-step explanation:
when x=-3, y=-2, and when x=-2, y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.
I need help with how to find x and y
The value of x and y from the given figure are 3 and 36
Similarity theorem of trianglesFrom the given similar triangles, the following expression is true
4/6 = x/54
Cross multiply
6x = 4 *54
x = 4 * 9
x = 36
Similarly
y/6 = 27/54
y/6 = 1/2
x =3
Hence the value of x and y from the given figure are 3 and 36
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A 6-sided number cube is rolled twice. What is the probability of getting a 3 on the first roll and a 4 on the second roll? 2.8% 16.7% 20% 33.3%
Answer: 2.8%
Step-by-step explanation:
On the first roll, probability to get a 3 is 1/6.
On the second roll probability to get a 4 is also 1/6.
To get both of these numbers together, you need to multiply the two probabilities.
1/6 x 1/6 = 1/36.
1/36 = ~2.8
2.8%
Answer: 2.8%
Step-by-step explanation: I got it right on the test.
What is the mean for 14,14,14,15,15,15,15,15,16,16,16,16,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,19,19,19,19,20,20,20,20,20,21,21,21,21,22,22,22,23,23,23,23,23,24,24,24,24,24,24,25,25,25,25
Answer:
Mean: 19.366666666667
Step-by-step explanation:
Mean: Average of the Data set
If you add the numbers below and divide them by the amount of numbers there are, you will get the average of the data set.
14,14,14,15,15,15,15,15,16,16,16,16,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,19,19,19,19,20,20,20,20,20,21,21,21,21,22,22,22,23,23,23,23,23,24,24,24,24,24,24,25,25,25,25
Average= sum/count
Mean= 1162 / 60
Mean= 19.366666666667
Rounded to the nearest tenth: 19.4
Rounded to the nearest hundredth: 19.37
Simplify
[tex]\left(\frac{123}{321}\right)\left(\frac{456}{654}\right)\left(\frac{789}{987}\right) \left(\frac{123}{321}\right)^{-1}\left(\frac{456}{654}\right)^{-1}\left(\frac{789}{987}\right)^{-1}[/tex]
Answer:
1
Step-by-step explanation:
using the rule of exponents
[tex](\frac{a}{b}) ^{-1}[/tex] = [tex]\frac{b}{a}[/tex] , then
[tex]\frac{123}{321}[/tex] × [tex]\frac{456}{654}[/tex] × [tex]\frac{789}{987}[/tex] × [tex]\frac{321}{123}[/tex] × [tex]\frac{654}{456}[/tex] × [tex]\frac{987}{789}[/tex]
[ [tex]\frac{123}{321}[/tex] × [tex]\frac{321}{123}[/tex] = 1 , [tex]\frac{456}{654}[/tex] × [tex]\frac{654}{456}[/tex] = 1 , [tex]\frac{789}{987}[/tex] × [tex]\frac{987}{789}[/tex] = 1 ]
= 1 × 1 × 1
= 1
Mr Tong had some money. After giving $1300 to each 5 of his children, he had $450 left. How much money did he have at first
Answer:
Step-by-step explanation:
money given to children=1300x5
=6500
total money =6500+450
=6950
Urgent
Solve a=P(1.3)^x/x
The equation of a=P(1.3)^{x/x} is mathematically given as
a=1.3P or P=a/1.3
What is the solution of a=P(1.3)^{x/x}?
Generally, the equation for the statement is mathematically given as
a=P(1.3)^{x/x}
Therefore,
a=P(1.3)^{x/x}
a=P(1.3)^1
a=Px1.3
a=1.3P or P=a/1.3
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Which expression is to equivalent to....
Answer:
B.) 2x¹⁰y¹²
Step-by-step explanation:
To begin, because all of the terms in the top and bottom are combined (right next to each other being multiplied), the coefficients can be divided like any normal number. When you divide variables with powers, you need to subtract the denominator powers from the numerator powers.
Therefore,
60 / 30 = 2
x²⁰ / x¹⁰ = x²⁰ ⁻ ¹⁰ = x¹⁰
y²⁴ / y¹² = y²⁴ ⁻ ¹² = y¹²
Combined, the simplified expression is 2x¹⁰y¹².
Need help with this geometry question
Answer: B
Step-by-step explanation:
In triangles ABC and CED, CE=AC and AB=ED, but CD>BC, meaning the angle E is smaller than angle A.
what is 4³ writ
ten in expanded form?
Answer:
4^3 written in expanded form is 4*4*4
Mark as Brainliest please
Answer: 64
Step-by-step explanation:
Hii!
Do you need to know what 4^3 written in expanded form is? No problem!
4^3=4*4*4 (the ^3 tells us to multiply the base (which is 4 here) times 3)
The answer is 64.
Hope that this helped! Best wishes.
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0.0000000019 written in scientific notation is
Answer:
1.9x10^8
hope I helped
Answer:
0.0000000019= 1.9*10^ -9
Find the area of the shaded portion of the
figure. All angles are right angles.
Dimensions are in inches.
3
8
5
Answer:
22 [in.²]
Step-by-step explanation:
1. the required area can be calculated as
A=A1-A2, where A1- area of big quadrilateral, A2-area of the small quadrilateral;
2. A=5*8-3*6=40-18=22 [in²].
Pls help me answer these questions⬇⬇⬇
Answer:
a) [tex]\frac{450}{100}[/tex] x 45 = 202.5g of sugar is in the can
b)[tex]\frac{4}{100}[/tex] x 80 = 3.2L is left
c)[tex]\frac{2400}{100}[/tex] x 70 = 1480 acres were planted with wheat
a. 202.5g
Since 45% of the energy drink is sugar
⇒ 45% of the total 450 grams will be made up of sugar
∴ sugar = [tex]\frac{45}{100}[/tex] * 450
= 202.5g
Thus, the can contains 202.5g of sugar
b. 3.2L
Since Simon used up 20% of the paint, the paint left in the can will now be 80% of the original 4 liters
∴ paint left = [tex]\frac{80}{100}[/tex] * 4
= 3.2L
Thus, the can has 3.2 liters of paint left.
c. 1680 acres
Here, 30% of the farmer's crop is and the rest is wheat
⇒ 70% is wheat
Total acres of land planted= 2400
∴ Acres planted with wheat = [tex]\frac{70}{100}[/tex] *2400
= 1680 acres
Thus 1680 acres is planted with wheat
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What is the slope of the line through (1,-2) and (-3,-2)?
-1/2
Step-by-step explanation:
m = y2-y1/x2-x1
-3+2/3-1
m=-1/2
Hii!
_________________________________________________________________
Answer: Slope = 2 - Choice [C] ✅
Step-by-step explanation:
Do you need to know the slope of the line through (1,-2) and (-3,-2)? No problem! Luckily, there's a formula to find this!
The slope formulaThe slope formula "[tex]\sf \cfrac{y2-y1}{x2-x1}[/tex]", is the formula we'll use to find the slope.
Let's stick in the values we know
[tex]\sf m= \cfrac{-2-2}{-3-(-1)}[/tex]
Simplify
[tex]\sf m=\cfrac{-4}{-3+1}[/tex]
Simplify
[tex]\sf m=\cfrac{-4}{-2}[/tex]
[tex]\sf m= \cfrac{4}{2}[/tex]
[tex]\sf m=2[/tex] ✅
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