The length of the three congruent sides is 7 cm and the fourth side length is 12cm.
Given quadrilateral has three congruent sides and perimeter of quadrilateral is 33 cm.
A quadrilateral can be expressed as ABCD and three congruent sides are AB, BC, CD and the fourth side is AD.
Let AD=x
then AB=BC=CD=x-5
This means if all the sides of a quadrilateral are known, we can get its perimeter by adding all its sides.
So, Perimeter = AB + BC + CD + DA.
Substitute values
(x-5)+(x-5)+(x-5)+x=33
4x-15=33
4x= 48
x=12
Hence the fourth side length is 12cm and the other sides are 7 cm longer.
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What is the product? Assume x>0.
(√3x + √5)√15x+2√30
O 3x√√5+3√165x+10-√√6
O 3x√5 +6√10x +5√3x +10√/6
O 3x√5+10√6
0 6√3x+10√6
Step-by-step explanation:
well you can distribute the sqrt(15x) to the (√3x + √5) and then combine the radicals using the product property of radicals: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex].
[tex](\sqrt{3x} + \sqrt{5})\sqrt{15x} + 2\sqrt{30}\\(\sqrt{3x} * \sqrt{15x}) + (\sqrt{5} * \sqrt{15x}) + 2\sqrt{30}\\\sqrt{45x^2} + \sqrt{75x} + 2\sqrt{30}\\[/tex]
Now we can simplify the radicals using the same property we used to combine them but instead of combining into one radical we'll separate them into two radicals where one of the radicals simplifies into a number without a radical
[tex](\sqrt{9} * \sqrt{x^2} * \sqrt{5}) + (\sqrt{25} * \sqrt{3x}) + 2\sqrt{30}\\3x\sqrt{5} + 5\sqrt{3x} + 2\sqrt{30}[/tex]
What value is missing from the table?
A. 4.5
B. 5.5
C. 5
D. 4
Answer:
D. 4
Step-by-step explanation:
The faster you go, the faster you get home (theoretically anyway) and vice versa. So if your speed is doubled, it'll take half the time to get home. But if your speed gets halved, it'll also take double the time to get home.
So, if at 60 mph it takes 1 hour to get home, then if your speed is divided by four to 15 mph, you need to multiply the time by the same number and thus the answer is 4.
Describe how the variability of the distribution changes as the sample size increases.
Answer:
As the sample size increases, the variability decreases.
Step-by-step explanation:
The actual departures from the mean are used to quantify variability. The variance would be lower the fewer the deviations.
By using the central limit theorem, we can determine that the sample mean for random samples of size n follows a normal distribution.
The standard deviation of the X bar will be [tex]\frac{s}{\sqrt{n} }[/tex].
where s is the sample's variance's square root.
As a result, we discover that the standard deviation, or variability, is inversely proportional to the square root of the sample size. Therefore, standard error lowers as sample size grows. The variability falls off as sample size rises.
Which transformations would result in a geometric figure that is exactly the same size as DEF? check all that apply
Answer:
A C D Because dilate means to become larger/smaller
Step-by-step explanation:
Tara and Julia run a race Julia takes 42 seconds to run the race she is seven seconds faster than Tara how many seconds does Tara take
Answer:
49 seconds
Step-by-step explanation:
42+7=49
Answer:
35 seconds
Step-by-step explanation:
157 * √24
a. rational
b. irrational
Answer:
Irrational
Step-by-step explanation:
its math help me pless
Answer:
mommy
Step-by-step explanation:
The value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.
The given function is [tex]f(x)=3x^{2} -2x[/tex].
We need to evaluate the given function for x=4.
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
To find the value of the given function replace x with 4 and simplify.
That is, [tex]f(4)=3(4)^{2} -2 \times 4=48-8=40[/tex].
Hence, the value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.
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Which graph represents a function? A. B. C. D. E.
Answer:
Graph B
Step-by-step explanation:
In order for a graph to represent a function, it needs to pass the vertical line test. In this case, graph B is the only one that passes the vertical line test.
Hope this helped :)
Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively
The volume of the rectangular prism is 36/125 cm³.
What is the volume?A rectangular prism is a three-dimensional shape. It also known as a cuboid.
Volume = length x width x height
3/5 x 4/5 x 3/5 = 36/125 cm³
Here is the complete question :
Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively. Find its volume?
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A, B, C, D got stuck with this problem
the price of gasoline increased by 25% between january and march. if the price per gallon in march was 1.15 what was the price per gallon in january
Answer:
0.86 ppg
Step-by-step explanation:
25% of 1.15 = 0.25 × 1.15 = 0.2875
1.15 - 0.2875 = 0.8625
Which number produces a rational number when added by 1/5
Answer:
-2/3
Step-by-step explanation:
= 1/5 + (-2/3) = -7/15
(A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Rational number can be both positive and negative.)
What is the equation of the line that passes through the point (6,-4) and has a slope
of-?
Answer:
y = -x + 2
Step-by-step explanation:
*Assuming the slope given is -1*
Applying point-slope formula :
y - (-4) = -1 (x - 6)y + 4 = -x + 6y = -x + 23 x 4 divided by 110 + 60
Answer:
60.10
Step-by-step explanation:
3 x 4 = 12
12 / 110 = 0.109
0.109 + 60 = 60.109
Four parallel lines are drawn in a rectangular sign. The sign is painted using two colors in an alternating pattern, as shown.
A rectangle is shown. 4 parallel lines are drawn diagonally from one side of the rectangle to the opposite side. The shapes formed by the parallel lines are colored in an alternating pattern.
Which statements must be true about the two congruent, shaded figures? Select two options.
The figures are rectangles because they are formed inside a rectangle.
The figures are rhombi because they are formed by four congruent line segments.
The figures are trapezoids because each has exactly one pair of parallel sides.
The figures are parallelograms because their opposite sides are parallel.
The figures are quadrilaterals because each has four sides.
Answer:
D & E
Step-by-step explanation:
The figures are parallelograms because their opposite sides are parallel
The figures are quadrilaterals because each had four sides
The two statements that must be true about the two congruent, shaded figures are:
The figures are parallelograms because their opposite sides are parallel.
The figures are rhombi because they are formed by four congruent line segments.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
The fact that the figures are formed inside a rectangle does not necessarily mean that they are rectangles themselves.
Similarly, the fact that each figure has one pair of parallel sides does not necessarily make them trapezoids, as trapezoids have only one pair of parallel sides.
Finally, the fact that each figure has four sides does not necessarily make them quadrilaterals, as any closed shape with four sides can be considered a quadrilateral.
The two statements that must be true about the two congruent, shaded figures are:
The figures are parallelograms because their opposite sides are parallel.
The figures are rhombi because they are formed by four congruent line segments.
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A rectangle swimming pool was 9 meters wide with an area of 90 square meters. What is the length of the pool?
Answer:
10 meters.
Step-by-step explanation:
The area of a rectangle formula is width multiplied by length. So, to find the length of the pool, simply divide the width from the area.
90/9=10
The length of the pool is 10 meters.
Hope this helps!
If not, I am sorry.
A television is 28.5 inches wide and 16 inches long.
Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?
a.)
45 inches
b.)
22 inches
c.)
33 inches
d.)
24 inches
Answer:
C) 33 inches
Step-by-step explanation:
A^2 + B^2 = C^2
812.25 + 256 = C^2
1068.25 = C^2
32.684 = C
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Given the graph of the function, f(x), what is the value of f (–2)?
f (–2) =
Using the graph of the function concept, the numeric value at x = 2 is f(-2) = 0.
How to find the numeric value of a function?To find the numeric value of a function at x = a, we look at the value of y(vertical axis) where x = a has a closed interval.
Researching the problem on the internet, looking at it's graph, it is found that when x = -2, there is a closed interval at y = 0, hence f(-2) = 0.
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Answer:
0A: (-∞, ∞)B: (-2, ∞)Step-by-step explanation:
In a right triangle, the larger pointed angle is four times larger than the smaller pointed angle.
What are your angles?
Answer:
The angles are 18° and 72°
Step-by-step explanation:
Finding the unknown angle
Let the smaller angle = x
The larger angle = 4*x = 4x
x + 4x = 90
5x = 90
x = 90 ÷ 5
x = 18
Smaller angle = 18°
Larger angle = 4*18 = 72°
I’m confused nd stuck
Answer:
B. (4,2)
Step-by-step explanation:
The answer is where the lines intersect.
Hope this helps!
If not, I am sorry.
Answer:
(4,2)
Step-by-step explanation:
the solution is where both lines intersect. We would write the point as (x,y). That’s why the answer is (4,2) not (2,4)
Find the probability of drawing a heart from the standard deck of cards and then drawing a 5 from any suit after the first card is replaced in the deck. Write as a fraction in simplest form.
The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
How to determine the probability?In a standard deck of cards, we have:
Total = 52
Heart = 13
5's = 4
Since the cards are replaced, the probability is calculated as:
P(Heart and 5) = Heart/Total * 5s/Total
This gives
P(Heart and 5) = 13/52* 4/52
Evaluate
P(Heart and 5) = 1/52
Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
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me QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?
y-1=6x
y-1=3x
y-7=2x-6
y-7=x-2
We write the equation in the form of directional.
y -1 = 6x ⇔ y = 6x + 1
y - 1 = 3x ⇔ y = 3x + 1
y - 7 = 2x - 6 ⇔ y = 2x - 6 + 7
y = 2x + 1
y - 7 = x - 2 ⇔ y = x - 2 + 7
y = x + 5
Equations cleverly arranged .
Point Q = (0,1)
b factor , not only fits the last equation
In the drawing have engraved points Q and R are tangent linear function appropriate to that point . This graphics solution . y = 3x + 1
Answer b
We check choice by the system of equations , where substitute wartoćsi points Q and R to the model equations linear function
The result of equations confirmed our choice Answer b
8.6 + 5.6x - 1.5 = 40.7
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]8.6 + 5.6x - 1.5 = 40.7\\5.6x = 33.6\\x=6[/tex]
Answer:
x = 6Step-by-step explanation:
solve for x
8.6 + 5.6x - 1.5 = 40.7
5.6x = 40.7 - 8.6 + 1.5
5.6x = 33.6
x = 33.6 : 5.6
x = 6
-----------------------------
check
8.6 + 5.6 * 6 - 1.5 = 40.7
40.7 = 40.7
the answer is good
Sal's Sandwich Shop sells wraps and
sandwiches as part of its lunch specials. The
profit on every sandwich is $2 and the profit on
every wrap is $3. Sal made a profit of $1,470
from lunch specials last month. The equation
2x + 3y = 1,470 represents Sal's profits last
month, where x is the number of sandwich
lunch specials sold and y is the number of wrap
lunch specials sold.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Answer:
it will be something like that
Step-by-step explanation:
u should modify the equation to be
y = (1470-2x)/3
Photo attached
A. -2
B. -1
C. 1/-2
D. 1/2
Step-by-step explanation:
(X1,Y1) = (-2,2)
(X2,Y2) = (0,1)
• Find slope.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 2)/(0 - (-2))
m = -1/2
The answer is C.
I know it’s simple but I’ve never been good at this topic please help —— 1232÷14
Answer:
88
Step-by-step explanation:
How do I graph the inequality?
Answer:
Graph it the same as = but if the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.
What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
31
Step-by-step explanation:
x + 149 = 180
x = 180 - 149
x = 31
Answer: 31
Answer:
31°
Step-by-step explanation:
x + 149° = 180°
reason : because they are supplementary angle...
x = 180° - 149°
x = 31°
[tex]...[/tex]
Round to the nearest tenth wa hit is the perimeter of the triangle
Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8
Analyze the graph of the cube root function shown
on the right to determine the transformations of
the parent function. Then, determine the values of
a, h, and k in the general equation.
y = a√√x-h+k
h =
k =
DONE✔
The values of a, h, and k in the general equation is h=1, k=4 and a=2
What is parent function?The function which can be transformed into different ways is the parent function.
On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).
The given function is
y =a³ √(x -h) + k
Put the coordinate (0,2) in the equation, we get
2 = a³ √(0 -h) + k..................(1)
Plug (1, 4), we have
4 = a³ √(1 -h) + k..................(2)
Plug (2, 6), we have
6 = a³ √(2 -h) + k..................(3)
On solving these three equations, we have
h=1
k=4
a=2
Thus, value of h is 1, k is 4 and a is 2.
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Answer:
the rest of the answers are:
C
B
C
A
D F
A C D
A
D
H= 1
K=4
A=2
Step-by-step explanation:
