Given ABCD is a trapezoid ad=10 bc=8 ck is altititude of abc=30
find area if abcd
Answers
The area of the given trapezoid ABCD in the image shown is calculated as: 54 units²
What is the Area of a Trapezoid?Area of a trapezoid = 1/2(a + b)h.
Given the following:
Area of triangle ACD = 1/2(AD)(CK) = 30 units²
1/2(10)(CK) = 30 units²
5(CK) = 30
CK = 6 units (altitude of trapezoid ABCD)
Area of the trapezoid = 1/2(a + b)h = 1/2(10 + 8)6
Area of the trapezoid = 54 units²
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Related Questions
SOLVE MATH TO GET 100+ PTS
Answers
The linear equation that represent the situation is 3b - 6 = 45.
The value of b is 17.
How to represent a linear equation?The situation forms a linear equation. Therefore,
y = mx + b
where
m = slopeb = y-interceptTherefore, let's model the equation linearly,
where
b = number of books boughtShe bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.
Therefore, the equation is as follows
3b - 6 = 45
The value of b is as follows;
3b - 6 = 45
3b = 45 + 6
3b = 51
b = 51 / 3
b = 17
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Answer:
The linear equation that represent the situation is 3b - 6 = 45.
The value of b is 17.
How to represent a linear equation?
The situation forms a linear equation. Therefore,
y = mx + b
where
m = slope
b = y-intercept
Therefore, let's model the equation linearly,
where
b = number of books bought
She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.
Therefore, the equation is as follows
3b - 6 = 45
The value of b is as follows;
3b - 6 = 45
3b = 45 + 6
3b = 51
b = 51 / 3
b = 17
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50/13 rounded to the nearest tenth
Answers
Answer:
50/13= 3.846153846
nearest tenth anwer is easily 3.8
determine whether each pair of polygons is similar. Explain.
Answers
Answer:
they are similar because polygons have three or more sides
Given the two rectangles below. Find the area of the shaded region.
7
2
4
2
Answer:
\text{ units}^2 units
2
Answers
Answer:
52 units²
Step-by-step explanation:
A = L × W
Area = Length × Width
First find the total area: 44
Half that to find the total left side that is shaded: 22
Find the bottom right side, imagine it is a seperate shape. It would be 4 × 2 = 8. 44 + 8 = 52.
- Educator
Which polynomial lists the powers in descending order?
O A. 45+34-2-22+1
O
B. 3A-2+45-22+1
O C.1-22-2+45+34
© D. 4x5-22-2+3/+1
Answers
Answer:
D i believe
Step-by-step explanation: hoped this helps
Find the equation of the straight line with the gradient -2/3 and passing through the point(1,1)
Answers
Answer:
y = -2/3 x + 5/3
Step-by-step explanation:
y = mx + b
y = -2/3 x + b
1 = -2/3 × 1 + b
3/3 + 2/3 = b
b = 5/3
y = -2/3 x + 5/3
An item is regularly priced at $35. It is now priced at a discount of 40% off the regular price. What is the price now?
Answers
Answer:
15
Step-by-step explanation:
what is x in 2x − 3 + 4x = 21
Answers
Answer: x = 4
Step-by-step explanation:
2x - 3 + 4x = 21
6x - 3 = 21
6x - 3 (+3) = 21 (+3)
6x = 24
24/6
x = 4
2x + 4x = 21 - 3
Then simplify
6x = 18
Then divide 6 to both sides to find x
X=3
Hope this helps!
A perfect triangle is a triangle with two key characteristics: 1) all three side lengths are positive integers, and 2) the area of the triangle area is equal to its perimeter. is a triangle with sides of length 8, 9, and 16 a perfect triangle? set up expressions and show the work needed to solve in order to answer the question.
Answers
Answer: It is not a perfect triangle.
Step-by-step explanation:
Find the value of x in the figure.
Answers
Step-by-Step Explanation:
In the Figure, both the Angles form a Linear pair which means they sum up to 180 degrees.
Therefore,
57 + x + 23 = 180
57 + 23 + x = 180
80 + x = 180
x = 180 - 80
=> x = 100
Therefore, x = 100
Also finding the missing Angle :-
= x + 23
= 100 + 23
=> 123
The Angle is 123 degrees.
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A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?
Answers
Answer:
a is equal to 3 ...................
plssss i need helpp again
Answers
Answer:
4〉Shoe box is an example of rectangular prism.
5〉Classroom ↬ m²
6〉Book ↬ cm²
7〉Matchbox ↬ mm²
8〉8 cm³ = 0.000008 m³ or 8 × 10⁻⁶ m³
9〉28 m³ = 28000000 cm³ or 2.8 × 10⁷ cm³
10〉95 cm³ = 0.095 L
need help will give brainliest i am timed answer in 20 minutes
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?
3
6
112
121
The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.
The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.
Answers
Answer:
121
.
The axis of symmetry is the line x= 6
The parabola opens downwards.
The value of h when the equation is in vertex form is positive.
Step-by-step explanation:
In the pictures.
Hope it helps! :)
3^5*2^-6 please answer fast
Answers
[tex]3^5 \cdot 2^{-6}=\dfrac{3^5}{2^6}=\dfrac{243}{64}[/tex]
which equation represents a linear function 2ry+y= 9 , y=12r-5 , 3y+r2+t=0, 4r+2(y-1)=0
Answers
The equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.
What is linear function?Linear function is the function in which the highest power of the unknown variable is one. Linear functions are used to model the real life problem in the mathematical expressions.
The linear function with dependent variable y and independent variable x can be written as,
y=mx+c
Here, m is the slope of the line represented by the function and c is the y intercept.
The equation given in the problem are,
2ry+y= 9
y=12r-5
3y+r2+t=0
4r+2(y-1)=0
The second option is similar to the standard linear function.
Hence, the equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.
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someone pls help with this
Answers
Answer: B
Step-by-step explanation:
Substituting in the coordinates into the lines which they lie on,
[tex]r=p+b\\\\5r=4p+b[/tex]
Subtracting the equations,
[tex]-4r=-3p \implies \frac{r}{p}=\frac{3}{4}[/tex]
Find the distance between the two points on the graph
Answers
Answer: The side highlighted is 6.3 units long
Step-by-step explanation:
You can use Pythagorean therum to solve this problem
a² + b² = c²
We already know the length of two of the sides, a and b. So we will replace those variables with the given values
2² + 6² = c²
And now we solve
2² + 6² = c²
4 + 36 = c²
c² = 40
√40 = 6.3
Historically, a given day at the beginning of March in upstate New York has a 18% chance of snow and a 12% chance of rain. If there is a 4% chance it will rain and snow on a day, then which of the following
represents the probability that a day in early March would have either rain or snow?
1.) .30
2.) .34
3.) .02
4.) .26
Answers
The Venn probability that a a day in early March would have either rain or snow is given by:
4.) .26
What is a Venn probability?In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The "or probability" is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In this problem, we have that the probabilities are given as follows:
[tex]P(A) = 0.18, P(B) = 0.12, P(A \cap B) = 0.04[/tex]
Hence:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]P(A \cup B) = 0.18 + 0.12 - 0.04[/tex]
[tex]P(A \cup B) = 0.26[/tex]
Which means that option 4 is correct.
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8x-3y times 5x5y over 10x6y2
Answers
Answer:
8x-5/4
Step-by-step explanation:
Cancel 5y x 5y/10 x 6y²=5/12y
8x-3y 5/12y
apply fraction rule a× b/c = a×b
____
c
8x-3y⁵/12y
8x-3y×5/12y
8x-3×5/12y
8x-3×5/12
=8x-5/4
Does anybody know this? I think know the second one but I'm not sure. ABCD is a square find the following.
Answers
Answer:
see explanation
Step-by-step explanation:
in a square
• all sides are congruent
• all angles are right
• diagonals bisect the angles
• diagonals are perpendicular bisectors of each other
Then
∠ BCA = [tex]\frac{1}{2}[/tex] × ∠ BCD = [tex]\frac{1}{2}[/tex] × 90° = 45°
∠ AWD = 90°
Find the value of x that makes m ∥ n
Answers
Answer:
26
Step-by-step explanation:
When two lines are parallel, corresponding angles are equal.
Here,
m II n
5x + 13 and 143 are corresponding angles.
So,
5x + 13 = 143
Substract 13 on both sides,
5x = 143 - 13
5x = 130
Divide 5 on both sides,
x = 130 / 5
x = 26
Lamar pays 15.60 for a pack of 6 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.
Answers
Divide total price by quantity:
15.60 / 6 = 2.60
Unit price = $2.60
help me with this math problem, please
Answers
Answer:
Refer the attachment
SO, OPTION (D) IS CORRECT
Answer:
Option (D) is the correct answer
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Add this answer in Brainliest Answer...........................
answer as soon as u can i need this
Answers
Answer:
25.12 cm.
Step-by-step explanation:
you take pie times the diameter (4)cm and times them together.
Answer:
4π cm
Step-by-step explanation:
Circumference of circled = 4 cm
Circumference = πd
= π*4
= 4π cm
What is the quotient of startfraction 7 superscript negative 1 baseline over 7 superscript negative 2 baseline endfraction?
Answers
The expression 7⁻¹ ÷ 7⁻² is a quotient expression, and the value of the quotient 7⁻¹ ÷ 7⁻² is 7
How to evaluate the exponents?The expression is given as:
7⁻¹ ÷ 7⁻²
Rewrite the expression using the product sign
7⁻¹ ÷ 7⁻² = 7⁻¹ * 7²
Apply the product rule of indices
7⁻¹ ÷ 7⁻² = 7⁻¹⁺²
Evaluate the sum of the exponents
7⁻¹ ÷ 7⁻² = 7¹
Evaluate the exponent
7⁻¹ ÷ 7⁻² = 7
Hence, the value of the quotient 7⁻¹ ÷ 7⁻² is 7
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Answer:
7
Step-by-step explanation:
Edge
What is the value of [(2/3)^0]^-3
Answers
Answer:
1
(2/3)^0=1
(1)^‐³
(1/1)³
1
Gary and Jessica exercise for a total of 18 hours per week. Jessica exercises 2 less than 3 times the hours that Gary exercises. How many hours per week does Gary exercise?
Enter your answer in the box.
Answers
Work Shown:
g = number of hours that Gary exercises
3g-2 = number of hours that Jessica exercises
(g) + (3g-2) = 18
4g-2 = 18
4g = 18+2
4g = 20
g = 20/4
g = 5
Gary exercises 5 hours per week.
Is the mean most useful when there is an outlier?
Answers
Answer:
The median is more useful because the mean, which his the average can be affected by a large or small outlier.
Step-by-step explanation:
What value(s) of x will make x2 = 9 true?
.............................................................................
A. 81 and -81
B. V3
C. 3 and -3
D. 3
Thank you to anyone who answers !! :-)
Answers
Answer:
C.) 3 and -3
Step-by-step explanation:
The question is asking: "Which numbers can be multiplied by themselves and equal 9?" You can formally find this answer by taking the square root of 9, the opposite of squaring a number. Or, in this case, you can try the guess-and-check method. Remember, multiplying two negative numbers together results in a positive answer.
A.) is incorrect because 81 x 81 = 6561 and -81 x -81 = 6561.
B.) I'm assuming this answer is [tex]\sqrt{3}[/tex] (if it's not, there is still a better answer). This answer is incorrect because [tex]\sqrt{3}[/tex] x [tex]\sqrt{3}[/tex] = 3.
C.) is correct because 3 x 3 = 9 and -3 x -3 = 9.
D.) is incorrect because -3² also equals 9.
What is the surface area (in square meters) of a box with length of 3 m, width of 4 m and a height of 2 m? Round to the nearest whole number.
Answers
Answer:
C) 52
Step-by-step explanation:
= 2x 4x 3x 2x 3x 2x 4
Hope this helps!