Answer:
D) 9 cm
Step-by-step explanation:
EDGE 2020
(D) 9 cm.
Parallelogram:A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. The Euclidean parallel postulate or one of its equivalent formulations must be used in order to demonstrate the congruence of opposed sides and opposite angles because both conditions are a direct result of this postulate.In contrast, a quadrilateral with only one set of parallel sides is referred to as a trapezoid or trapezium in British or American English.The parallelepiped is a parallelogram's three-dimensional equivalent.Therefore, the correct answer is (D) 9 cm.
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6. If the following fractions were converted to decimals, which one would result in a repeating decimal?
A. 3/7
B. 1/9
C. 3/4
D. 5/11
I need help with this question plz
Answer:
slope = 6
tangent line y=6x-5
Step-by-step explanation:
Transform the polar equation to a Cartesian (rectangular) equation: r= 4sinθ
options include:
x^2+y^2 = 4y
x^2+y^2 = -4
x^2+y^2 = 4
x^2+y^2 = -4y
Answer:
x^2 +y^2 = 4y
Step-by-step explanation:
Using the usual translation relations, we have ...
r^2 = x^2+y^2
x = r·cos(θ)
y = r·sin(θ)
Substituting for sin(θ) the equation becomes ...
r = 4sin(θ)
r = 4(y/r)
r^2 = 4y
Then, substituting for r^2 we get ...
x^2 +y^2 = 4y . . . . . matches the first choice
If a(x + 1) + b(x − 1) − 2 = 0 for all real x, then a =
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
Answer:
D) 1
Step-by-step explanation:
using the distributive property we have ax+a+bx-b-2=0. because the equation is true for all real x, ax=-bx. this means a-b-2=0 and a=-b. a-b-2=0 becomes a=b+2. then we substitute a for -b and get -b=b+2 which becomes 2b=-2 so b=-1. since a=-b, a=1
If the length of the legs of a right triangle are 13 and 13,what is the length of the hypotenuse? Round your answer to the nearest tenth,if necessary.
Answer:
a² + b² = c²
13² + 13² = c²
169 + 169 = c²
338 = c²
c = √338 or 18.385 or 13√2
Answer:
18.4
Step-by-step explanation:
13² + 13² = x²
169 + 169 = x²
338 = x²
x = 18.38477....
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. If required enter negative values as negative numbers.
In a regression analysis involving 30 observations
Interpret b1, b2, b3, and b4 in this estimated regression equation (to 1 decimal). Assume that for each coefficient statement, the remaining three variables are held constant. Enter negative values as negative numbers.
b1 = estimated change in y per 1 unit change in x1
b2 = estimated change in y per 1 unit change in x2
b3 = estimated change in y per 1 unit change in x3
b4 = estimated change in y per 1 unit change in x4
Predict y when x1 = 10, x2 = 5, x3 = 1, and x4 = 2 (to 1 decimal).
In this, question the equation is missing that's why in the solution we define the equation and its complete solution:
Let the given equation:
[tex]\bold{\hat{h}=17.6+3.8x_1-2.3x_2+7.6x_3+2.7x_4}[/tex]
[tex]\bold{b1 = 3.8}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_1}[/tex]
[tex]\bold{b2 = -2.3 }[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_2}[/tex]
[tex]\bold{b3 = 7.6 }[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_3}[/tex]
[tex]\bold{b4 = 2.7}[/tex] units expect changes in the y for each 1 unit change in [tex]\bold{x_4}[/tex]
Calculating the estimated value of the y when:
[tex]\to \bold{x_1 = 10}\\\\ \to \bold{x_2 = 5}\\\\\to \bold{x_3 = 1}\\\\\to \bold{x_4 = 2}\\\\[/tex]
Put the value into the above-given equation:
[tex]\to \bold{17.6 + 3.8(10) - 2.3(5) + 7.6(1) + 2.7(2)} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{17.6 + 38 - 11.5 + 7.6 + 5.4} \\\\\to \bold{68.6-11.5}\\\\\to \bold{57.1}[/tex]
So, the final answer is "57.1".
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What is the solution to the system of equations below?
2x+3y=6
x-3y=9
Answer:
Step-by-step explanation:
2x + 3y = 6
2x = 6-3y
x = (6-3y)/2
x - 3y = 9
(6-3y)/2 -3y = 9
(6-3y)/2 -6y/2 = 9
(6-9y)/2 = 9
6 - 9y = 9×2
-9y = 18-6
y = 12/-9
y = -4/3
2x + 3y = 6
2x + 3(-4/3) = 6
2x -4 = 6
2x = 6+4
2x = 10
x = 10/2
x = 5
Therefore x = 5 and y = (-4/3)
I used subsitution method
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Answer:
x = 5; y = -4/3
Step-by-step explanation:
One equation has 3y. The other equation has -3y. Add the equations to eliminate y and solve for x.
2x + 3y = 6
(+) x - 3y = 9
---------------------
3x = 15
x = 5
2x + 3y = 6
2(5) + 3y = 6
3y + 10 = 6
3y = -4
y = -4/3
Answer: x = 5; y = -4/3
Ms. Lowder has 2 children, one in first grade and one in fifth grade. Both children need paper for school. Paper costs $2.29 per pack. If the first grader needs 2 packs of paper and the fifth grader needs 6 packs of paper, how much money will Ms. Lowder spend on paper?
the answer is she spend $18.32
Of 80 t shirts 10% are white, 30% are blue and the rest are red how many are red ?
10 % + 30 % = 40 %
100% - 40% = 60%
60% are red
Multiply total shirts by 60%
80 x 0.60 = 48
48 shirts are red
Answer:
48 shirts are red
Step-by-step explanation:
The percents have to add to 100
100 -10 -30 = 60
60% are red
80*60%
80*.6
48
A man saves 4% of his monthly
income of $19,540, the percentage
Savings is increased in the ratio
3:2 Calculate the savings from
the monthly
income.
Answer:
Although the question is not clear, It most likely looks like you were asking for the calculation of the savings for the month after increase.
savings for the month after increase = $1172.4
Step-by-step explanation:
First, let us calculate how much was saved before the increase in savings:
monthly income = $19,540
Percentage saved = 4% of monthly income
= 4/100 × 19,540 = 0.04 × 19,540 = $781.6
Next, we are given the ratio of increase in savings as 3:2
Let the new savings amount be x
3 : 2 = x : 781.6
[tex]\frac{3}{2} = \frac{x}{781.6} \\781.6\ \times 3\ =2x\\2344.8 = 2x\\x =\frac{2344.8}{2} \\x = \$1172.4[/tex]
therefore savings for the month after increase = $1172.4
Just incase you were looking for the savings before the increase, the answer is $781.6 (as calculated above)
1.
a. AABC has a right angle at B, BC = 4, and has an area of 10 square units. What is the
length of AB?
Answer:
5 unitsStep-by-step explanation:
A right angled triangle is a triangle that has one of this angles to be 90°. According to the ΔABC, the angle at B is 90°.
Area of a triangle = 1/2 * base * height
According to the diagram shown, the base is BC and the height is AB which is the required side.
Area of the triangle = 1/2 * BC * AB
Given area of the triangle = 10 square units
BC = 4 units
AB is the required length.
Substituting this values into the formula above;
10 = 1/2 * 4 * AB
10 = 2AB
Dividing both sides by 2
2AB/2 = 10/2
AB = 5 units
Hence the length of AB is 5 units.
Simplify the expression. Express your answer as an improper fraction in simplest form.
Answer:
Step-by-step explanation:
3/40 is the correct answer
Find the product of
the sum of
3/5 and 1%
and
Answer:
3/500
Step-by-step explanation:
3/5 x 1%
=> 3/5 x 1/100
=> 3/500
Hope it helps you
Please answer this correctly without making mistakes
Answer:
The answer is 68 6/11
Step-by-step explanation:
If you enter the number into a calculator it shows you the exact decimal, therefore you can identify the answer.
Answer:
It is 68 6/11
Step-by-step explanation:
First I made all of the improper fractions into whole numbers and fractions and just saw which one was in the middle .
Matrices and determinants What is 4c?
Answer:
Answer is D.
Step-by-step explanation:
do 4 times every value in the ( )
Answer:
[tex]\boxed{\sf D}[/tex]
Step-by-step explanation:
Find m A. 10 B. 5 C.√53 D. 10√3/3
Answer:
[tex]m = 10[/tex]
Step-by-step explanation:
Looking at the angles, we can see that this is a 30-60-90 triangle.
The side that is with the 30° angle and the 90° angle is represented by [tex]x\sqrt{3}[/tex].
So let's find x.
[tex]x\sqrt{3} = 5\sqrt{3}[/tex]
Divide both sides by [tex]\sqrt{3}[/tex]:
[tex]x = 5[/tex].
Now the hypotenuse is always [tex]2x[/tex] (the leg with the 90° and 60° is just x.) So,
[tex]2x = 2\cdot5 = 10[/tex].
Hope this helped!
If x - A = B, what is X?
9514 1404 393
Answer:
(a)
Step-by-step explanation:
Add A to both sides of the equation:
X -A +A = B +A
X = B + A
The sum of the two matrices is the matrix that is the sum of corresponding terms.
x11 = B11 +A11 = -9+2 = 7
x12= B12 +A12 = 5-7 = -2
These calculations are sufficient to match the answer with choice (a).
6 more than the product of a number x and 5 is 21
Answer:
x = 3
Step-by-step explanation:
6 + 5x = 21
5x = 15
x = 3
I hope this helps
:)
2. Which of the following statements contains a quotient?
O A. 7-6 = 1
B. 42 : 6 = 7
C.7 x 6 = 42
O D. 7 + 6 = 13
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MacBook Air
Which word describes the relationship of the points (3, 1)
and (3, 6)?
OA) collinear
OB) parallel
C) perpendicular
OD) coincident
9514 1404 393
Answer:
A) collinear
Step-by-step explanation:
"Parallel" and "perpendicular" are descriptors of pairs of lines and planes. They do not apply to pairs of points.
The two points have different coordinates, so are distinct, rather than coincident.
Of these words, the only applicable choice is "collinear."
__
Additional comment
Any pair of distinct points is collinear. Two points define a line, and two points on the same line are collinear.
What is the circumference of a circle with a diameter of 9 cm?
Answer:
the answer=28.27cm
using formula
c=2πr
d=2r
solving for c
C=πd
=π.9
=28.27
hope it help you
If this first answers correct what is the answer to the second question? Are they even connected?
Answer:
see below (I hope this helps!)
Step-by-step explanation:
9) We know that the perimeters of the square and triangle are equal so to find x, we can write:
4(x - 5) = x + x + 12
4x - 20 = 2x + 12
2x = 32
x = 16
10) To find the perimeter, we can substitute x = 16 into 4(x - 5) which would be 4(16 - 5) = 4 * 11 = 44.
In terms of the trigonometric ratios for ΔABD, what is the length of line segment BD?
In terms of the trigonometric ratios for ΔABD, what is the length of line segment BD?
Answer:
[tex] BD = c*sin(A) [/tex]
[tex] BD = c*cos(B) [/tex]
[tex] BD = b*tan(A) [/tex]
Step-by-step explanation:
∆ABD is a right triangle.
Recall: trigonometric ratios of any right triangle can easily be understood or remembered with the acronym, SOHCAHTOA.
SOH => sin(θ) = opposite/hypotenuse
CAH => Cos(θ) = adjacent/hypotenuse
TOA = tan(θ) = opposite/adjacent
Thus, the length of segment BD, in terms of trigonometric ratios for ∆ABD can be done as follows:
Let BD = x
AB = c
AD = b
=>The sine ratio for the length of line segment BD = x, using SOH.
θ = A
Opposite = DB = x
hypotenuse = AB = c
[tex] sin(A) = \frac{x}{c} [/tex]
Make x the subject of formula.
[tex] c*sin(A) = x [/tex]
[tex] BD = x = c*sin(A) [/tex]
=>The Cosine ratio for the length of line segment BD = x, using CAH
θ = B
Adjacent = DB = x
hypotenuse = AB = c
[tex] cos(B) = \frac{x}{c} [/tex]
Make x the subject of formula.
[tex] c*cos(B) = x [/tex]
[tex] BD = x = c*cos(B) [/tex]
=>The Tangent ratio for the length of line segment BD = x, using TOA
θ = A
Adjacent = DB = x
hypotenuse = AD = b
[tex] tan(A) = \frac{x}{b} [/tex]
Make x the subject of formula.
[tex] b*tan(A) = x [/tex]
[tex] BD = x = b*tan(A) [/tex]
Suppose you earn 2% cash back at grocery stores and 1% on all other purchases. If you spent $485.72 at the grocery store and $671.28 on all other purchases, how much would your cash back be?
Answer:
$16.43.
Step-by-step explanation:
At the grocery store, you spent $485.72. With 2% cashback, you would get 485.72 * 0.02 = 9.7144 dollars worth of cashback.
At other places, you spend $671.28. With 1% cashback, you would get 671.28 * 0.01 = 6.7128 dollars worth of cashback.
9.7144 + 6.7128 = 16.4272, which is about $16.43 of cashback.
Hope this helps!
The amount of cashback that you earned will be $16.42.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
Suppose you earn 2% cash back at grocery stores and 1% on all other purchases. If you spent $485.72 at the grocery store and $671.28 on all other purchases.
The total cashback is calculated as,
⇒ 0.02 x $485.72 + 0.01 x $671.28
⇒ $9.71 + $6.71
⇒ $16.42
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5. What is the solution of the following linear system?
y= 3x + 1
2y = 6x + 2
O A. (5,-2)
OB. (34)
C. Infinitely many solutions
D. No solution
Answer:
C. Infinitely many solutions
Step-by-step explanation:
First, simplify the second equation by dividing it by 2
2y = 6x + 2
y = 3x + 1
Now, we can see that both equations are the same, both y = 3x + 1.
Since they are the same line, this means that there are infinitely many solutions.
So, the correct answer is C.
5. Determine the number of square units in the area of the trapezoid whose bases are 3-X units and 10+X units and whose height is 6 units.
Answer:
39 units
Step-by-step explanation:
The formula for area of trapezoid is 1/2h(a+b) where a and b are the base/parallel sides.
We have,
a=3-x
b=10+x
h=6
Now,
Area=1/2h(a+b)
=1/2*6(3-x+10+x)=3(13)=39 units
3. Solve for x2=81 C. 10
Answer:
9
Step-by-step explanation:
9 x 9 = 81
Answer:
x = ±9
Step-by-step explanation:
x^2 = 81
Take the square root of each side
sqrt(x^2 ) = ±sqrt(81)
x = ±9
Use the gradient to find the directional derivative of the function at P in the direction of Q. g(x, y, z) = xye^z, P(2, 4, 0), Q(0, 0, 0)
Answer: Find answer in the attached files
Step-by-step explanation:
The length of a shoe is 25 centimeters. How long is the shoe in meters? (Note: 1 meter = 100 centimeters). pls help
Answer:
0.25meters
As 100cm=1metre
so, 25cm=25/100meter
=0.25metre
Step-by-step explanation:
If you like my answer than please mark me brainliest
The answer is 0.25 meters
The price of a car has been reduced from $16,500 to $11,055. What is the percentage decrease of the price of the car?
Answer:
33%
Step-by-step explanation:
$16,500-$11,055= $5,445
$5,445÷$16,500= 0.33 which in percentage format is 33%
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