Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect. In the kite, AC = 10 and BD = 6. What is the area of kite ABCD? 15 square units 30 square units 45 square units 60 square units
Answers
Answer:
[tex]30 u^{2}[/tex]
Step-by-step explanation:
The computation of the area of kite ABCD is shown below:
Given data
AC = 10 ;
BD = 6
As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal
Now the area of quadrilateral when the diagonals are given
So, it is
[tex]\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}[/tex]
where,
[tex]d_{1}=10\ and\ d_{2}=6[/tex]
So, the area of the quadrilateral is
[tex]=\frac{1}{2}(10)(6)\\\\=30 u^{2}[/tex]
Answer:
C
Step-by-step explanation:
I just took the test
Related Questions
Please help me it will be greatly appreciated!
Answers
Answer:
∠y = 70º, ∠z = 60º, ∠w = 70º
Step-by-step explanation:
i believe the angle measures are the same for both triangles.
so ∠z = 60º, ∠x = 50º
to get ∠w, 180 - (50 + 60) = 70
∠w = 70º
∠w and ∠y would be equivalent
A new E music service offers downloadable songs by subscription $15 per month plus one for each downloaded song how much will it cost to download X songs in a month
Answers
Answer:
$15+x
x in dollars
Step-by-step explanation:
Subscription per month=$15
Cost of each downloaded song per month=$15 + 1
If x number of songs are downloaded in a month
The cost of downloading x songs= $15 + x
Where,
$15 = fixed cost ( subscription)
x= variable cost( each unit of songs downloaded)
If 20 songs are downloaded in a month.
The cost of downloading the 20 songs
=$15+$20
=$35
Select the correct answer.
What is the value of this expression when g= -3.5?
8-[2g-5]
OA.
20
OB.
10
OC. 6
OD.
-4
Answers
Answer:
A. 20
Step-by-step explanation:
We are given the expression:
8-(2g-5)
and asked to find the value of the expression when g=-3.5. Therefore, we must plug -3.5 in for g.
8- (2(-3.5)-5)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, solve inside the parentheses. Begin by multiplying 2 and -3.5
8-(-7-5)
Next, subtract 5 from -7
8-(-12)
Finally, subtract -12 from 8.
8+12
20
The value of the expression 8-(2g-5) when g=-3.5 is 20. Therefore A. 20 is correct.
Simplify the expression (3-4i)(1+5i)-(2-i). Please show your work
Answers
Answer:
21 + 12i
Step-by-step explanation:
Given
(3 - 4i)(1 + 5i) - (2 - i) ← expand the product of factors using FOIL
= 3 + 11i - 20i² - 2 + i ( note i² = - 1 )
= 3 + 11i + 20 - 2 + i ← collect like terms
= 21 + 12i
Answer:
The answer is
21 + 12iStep-by-step explanation:
(3-4i)(1+5i)-(2-i)
Expand the terms in the bracket first
That's
3 + 15i - 4i - 20i² - ( 2 - i)
Remove the bracket
3 + 15i - 4i - 20i² - 2 + i
But i² = - 1Group like terms
- 20(-1) + 15i - 4i + i + 3 - 2
15i - 4i + i + 20 + 3 - 2
Simplify
We have the final answer as
21 + 12iHope this helps you
Select all that apply. If x^2+b/ax+c/a=0 ; then: The sum of its roots = -b/a? The difference of its roots =-b/a? The product of its roots = c/a?The division of its roots = c/a? I can select multiple.
Answers
Answer:
The first and the thirdStep-by-step explanation:
[tex]x^2+\frac bax+\frac ca=0\\\\ ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\qquad\quad x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x_1+x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}+\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\dfrac{-2b}{2a}=\dfrac{-b}a\\\\\\x_1\cdot x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\cdot\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\\\\{}\ \ =\dfrac{b^2-b\sqrt{b^2-4ac}+b\sqrt{b^2-4ac}-(\sqrt{b^2-4ac})^2}{2a}=\dfrac{b^2-(b^2-4ac)}{4a^2}=\\\\{}\ \ =\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{4ac}{4a^2}=\dfrac{c}{a}[/tex]
[tex]x_1-x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}-\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-2\sqrt{b^2-4ac}}{2a}=\frac{-\sqrt{b^2-4ac}}{a}\\\\\\x_1\div x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}\div\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-b-\sqrt{b^2-4ac}}{2a}\,\cdot\,\frac{2a}{-b+\sqrt{b^2-4ac}}=\\\\=\frac{-b-\sqrt{b^2-4ac}}{-b+\sqrt{b^2-4ac}}=\frac{b+\sqrt{b^2-4ac}}{b-\sqrt{b^2-4ac}}=\frac{b^2+2\sqrt{b^2-4ac}+b^2-4ac}{b^2-b^2+4ac}=\frac{2b^2+2\sqrt{b^2-4ac}-4ac}{4ac}=[/tex]
[tex]=\frac{b^2+\sqrt{b^2-4ac}-2ac}{2ac}[/tex]
I need help ASAP ? Does anyone know the answer?
Answers
Answer:
see the attachment
Step-by-step explanation:
The graph of the inverse function is the reflection of the function across the line y=x. It can also be found by swapping the x- and y-coordinates of every point.
The endpoints of the inverse function segment are (-2, -6) and (4, -1). These are the endpoint coordinates of the given relation, with the elements of the ordered pair reversed.
Most evenings after dinner Duarte spends 30 minutes playing chess with his dad. Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together (e) evenings.
Answers
Answer:
m=30e
Step-by-step explanation:
30 minutes for each evening, 2 evenings, 60 minutes
Hope this helped!
The most suitable equation that would express the time Duarte spends to play chess with his dad is m= 30e
How to use equation for expressionsNumber of minutes each evening= 30 mins=m
They played together every evening= e.
Therefore, the equation that would express the time Duarte spends to play chess with his dad is m = 30e.
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Jacob had a six-sided number cube. Each side was labeled with one number, from 1
through 6. What is the probability that Jacob rolls a prime number?
Round to the nearest tenth.
Answers
Answer:
1 out of 6 because you have only one chance to get 4.
Step-by-step explanation:
Answer:
50% chance
Step-by-step explanation:
A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%
Zach tried to solve an equation step by step. 34=z−1234+12=z−12+12Step 154=zStep 2\begin{aligned} \dfrac34&=z-\dfrac12\\\\ \dfrac34+\dfrac12&=z-\dfrac12+\dfrac12&\green{\text{Step } 1}\\\\ \dfrac54&=z&\blue{\text{Step } 2} \end{aligned} 4 3 4 3 + 2 1 4 5 =z− 2 1 =z− 2 1 + 2 1 =z Step 1 Step 2 Find Zach's mistake. Choose 1 answer: Choose 1 answer:
Answers
Question:
Zach tries to solve an equation step by step;
[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]
Step 1:
[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]
Step 2:
[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]
[tex]\frac{5}{4} = z[/tex]
Find Zach's mistake;
Answer:
Zach didn't make any mistake
Step-by-step explanation:
Given: the steps above
At step 1, he applied addition property of equality by adding [tex]\frac{1}{2}[/tex] to both sides of the equation
Step 2 is a result of step 1 and he rightly added the fractions
Further Explanation;
[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]
Add [tex]\frac{1}{2}[/tex] to both sides
[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]
[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]
Take LCM of fractions at the left hand side
[tex]\frac{3 + 2}{4} = z[/tex]
[tex]\frac{5}{4} = z[/tex]
Reorder
[tex]z = \frac{5}{4}[/tex]
Analyzing the steps one after the other, we can conclude that Zach didn't make any mistake;
Answer:
C: Zach did not make a mistake
Step-by-step explanation:
SO IT NOT CONFUSING
+
GOT IT ON KHAN
(p.s. can u give me brainliest?)
State the equation of the following graphs.
Someone please help ASAP
Answers
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
Polygon ABCD is reflected to produce polygon A’B’C’D’E’ what is the equation for the line over reflection A) y=0 B) x=0 C) x=2 D) y=1
Answers
Answer:
The answer is x=0. Believe me that's right.
What is the simplified form of this expression?
(-3x2 + 2x − 4) + (4x2 + 5x + 9)
Answers
Answer:
[tex]\large \boxed{\sf \ \ x^2 + 7x + 5 \ \ }[/tex]
Step-by-step explanation:
[tex]\mathrm{\sf (-3x^2 + 2x -4) + (4x^2 + 5x + 9)}[/tex]
Remove brackets.
[tex]\large{\sf -3x^2 + 2x -4 + 4x^2 + 5x + 9}[/tex]
Group like terms.
[tex]\large{\sf -3x^2 + 4x^2 + 2x + 5x + 9 -4}[/tex]
Combine like terms.
[tex]\large{\sf x^2 + 7x + 5}[/tex]
The simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.
What is the simplified form of this expression?To simplify the given expression, we need to combine like terms.
The given expression;
(-3x² + 2x − 4) + (4x² + 5x + 9)
Let's start by combining the terms with the same degree of x:
Combine the x² terms:
(-3x² + 4x²) + 2x - 4 + 5x + 9
Simplify further;
x² + 7x + 5
Thus, the simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.
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A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the simple linear regression model, y=Po+B1x, where y appraised value of the house (in $thousands) and x number of rooms. Using data collected for a sample of n 74 houses in East Meadow, the accompanying results were obtained. Give a practical interpretation of the estimate of the slope of the least squares line. i Click the icon to view the results.
A. For each additional dollar of appraised value, the number of rooms in the house is estimated to increase by 22.71 rooms.
B. For a house with 0 rooms, the appraised value is estimated to be $74,800.
C. For each additional room in the house, the appraised value is estimated to increase $22,710
D. For each additional room in the house, the appraised value is estimated to increase $74,800.
Answers
Answer:
D. For each additional room in the house, the appraised value is estimated to increase $74,800
Step-by-step explanation:
The statistical model is used to predict the appraised value of houses in East Meadows. The value of a house is determined by using variables. The regression model helps to analyse the value of a house. It is predictive modelling technique which determines a relationship between dependent and independent variable.
heLp would be appreciated for the image below :))
Answers
Answer:
A
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.
Using Pythagoras' identity in either of the 2 right triangles, then
([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²
[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides )
[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12 → A
what are 2 equivalent ratios to 27:9?
Answers
Answer:
3:1
54:18
Step-by-step explanation:
You can divide both sides by 9 to get one ratio:
27/9:9/9
3:1
You can also multiply both sides by 2 to get another ratio:
27(2):9(2)
54:18
A sixth-grade class is growing plants for their
science projects. Each student spent $1.00 for a
package of seeds and $2.50 for a container to
plant the seeds in. There are 30 students in the
class. How much money did the sixth-grade class
spend on seeds and containers in all?
Answers
Answer:
5.76
Step-by-step explanation:
Answer:
$105
Step-by-step explanation:
Each student buys one package of seeds and one container
s = Amount of students; p = price of seed package; c = price of container
s*(p+c)=30(1.00+2.50)=30(3.5)$105.
Hope This Helps!
can ya'll help me find x and y and how to do it. Thanks
Answers
Answer:
x = 904 and y = 18
Step-by-step explanation:
Let's start by calculating x
tan 32° =[tex]\frac{x}{15}[/tex] x = 15*tan 32° x =9.37 x≈ 9.4Let's use the pythagorian theorem to find y
x²+15² =y² 9.4²+15² = y² y = [tex]\sqrt{9.4^{2}+15^{2} }[/tex] y = 17.7 y ≈ 18What is the value of log0.5^16
Answers
Answer:
-4.81647993062
Step-by-step explanation:
Look at the image below ↓
Based on the mathematical analysis, the value of log 0.5^16 is -4.816.
What are Logarithms?A logarithm is a mathematical term that is used to describe the exponent or power to which a base must be raised to yield a given number.
In this case, to calculate the value of log0.5^16 use logarithm properties.
rewrite the expression as log(0.5)^(16).
=> log(a^b) = b * log(a)
=> 16 * log(0.5).
Given that the Logarithm is the inverse of exponentiation => log(0.5) is equal to -0.301.
Substitute this value back into the expression:
16 * (-0.301) = -4.816.
Hence, in this case, it is concluded that the correct answer to the value of log 0.5^16 is -4.816.
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What is the volume in cubic feet of the prism, rounded to the nearest cubic foot? Do not use units or commas in your answer.
Answers
Answer:
35.1
Step-by-step explanation:
There's a formula that i've linked as an image
Basically, substitute all 3 sides and the length into that formula, chuck it into the calculator and viola.
Or... we can use pythagoras' theorem and get the height of the triangle Height = [tex]3^{2}[/tex] - [tex]1.5^{2}[/tex] = 2.6
Area of triangle = (3 * 2.6) / 2 = 3.9
Volume = 3.9 * 9
Volume of prism = 35.1
Danny drove to Yosemite Park from his home at 60 mph. on his trip home, his rate was 10 mph less and ...?
Answers
Answer: 300 mi.
Step-by-step explanation:
Let t be the time taken to drive to the park (at 60 mph)
Let t + 1 be the time taken to drive home from the part (at 50 mph)
Distance to the park = 60t
Distance from the park = 50(t + 1)
Obviously the distances should be the same so equate them.
60t = 50(t + 1)
60t = 50t + 50
10t = 50
t = 50/10
t = 5 hours
Now figure the distance. You can use either equation for the distance to or from the park:
60t = 60(5) = 300 miles
or
50(t+1) = 50(6) = 300 miles
The distance to or from the park will be 300 miles.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let assume t be the time taken to drive to the park (at 60 mph).
Let assume t + 1 be the time taken to drive home from the part (at 50 mph)
The Distance to the park = 60t
The Distance from the park = 50(t + 1)
Obviously the distances should be the same, so equate them;
60t = 50(t + 1)
60t = 50t + 50
10t = 50
t = 50/10
t = 5 hours
Now figure the distance. We can use either equation for the distance to or from the park:
60t = 60(5) = 300 miles
50(t+1) = 50(6) = 300 miles
Therefore, the distance to or from the park will be 300 miles.
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What is the determinant of the coefficient matrix of the system –7 –2 –1 0
Answers
Answer:
0
Step-by-step explanation:
Please check attachment for complete solution
Answer:
D. 0
Step-by-step explanation:
last option
Select the correct answer.
Which relation is a function?
A. {(2,3), (1,5), (2,7)}
B. {(-1,5), (-2,6), (-3,7)}
C. {(11,9), (11,5), (9,3)}
D. {(3,8), (0,8), (3,-2)}
Answers
Answer:
The answer is option B.
Explanation:
A rule that uniquely associates elements of one set A with the elements of another set B and each element in set A maps to only one element in set B.
Each element from X is related to only one element in Y. But it is okay for two different elements in X to be related to the same element in Y. So its still a function. Let suppose
{ (1,a) , (2, b) , (2, c) , (3, d) }
This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c.
The local theatre production company sells advance tickets (a) for $16 per seat. On the night of the performance, tickets (t) are sold for $22 each. If the company sold 648 tickets for at total of $11,826, write an equation that expresses the total income from ticket sales.
Answers
Answer:
16a + 22t = 11826
Step-by-step explanation:
Cost of 1 (a) ticket = $16
Cost of 1 (t) ticket = $22
Total tickets sold = 648
Cost of 648 tickets = $11826
So eqn will be => 16a + 22t = 11826
Bob and Dan earned a total of $72
shoveling snow. If Bob earned 3 times as
much as Dan, how much did each boy
earn?
Answers
Answer:
see explanation
Step-by-step explanation:
If Dan earns $x then Bob earns $3x ( 3 times as much as Dan ), then
x + 3x = 72 , that is
4x = 72 ( divide both sides by 4 )
x = 18
Thus
Dan earns $18 and Bob earns 3 × $18 = $54
The earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the earning by Bob be x and the earning by Dan be y.
Bob and Dan earned a total of $72 shoveling snow. Then the equation will be
x + y = 72 ...1
If Bob earned 3 times as much as Dan. Then the equation will be
x = 3y ...2
Substitute the value of x in equation 1, then the equation will be
3y + y = 72
4y = 72
y = $18
Then the money earned by Bob will be
x = 3y
x = 3(18)
x = $54
Thus, the earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.
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Find the mean of the following data set. 42, 45, 58, 63 1. 42 2. 47 3. 52
Answers
Answer:
52
Step-by-step explanation:
42, 45, 58, 63
The mean is the sum divided by the number of terms
(42+ 45+ 58+ 63)/4
208/4
52
Answer:
Step-by-step explanation:
42 + 45 + 58 +631 + 422 + 473 + 52 = 1723
then divide by 7 to get 246.142857
hope this helps :)
Last question! Having some trouble.
Answers
Answer:
C
Step-by-step explanation:
The abscissa is the value of the x- coordinate and the ordinate is the value of the y- coordinate.
Since the point is in the second quadrant then x- coordinate will be negative and the y- coordinate positive.
C is the only point which meets this condition and
- 3 = 2(1) - 5 = 2 - 5 = - 3 ( 5 less than twice the ordinate) → C
Help please! Thanks!!
Answers
Answer: None of them
I think your teacher made a typo. See explanation below for details
=================================================
Explanation:
With math problems like this one, it is often very tricky to find integer solutions. Luckily, we're given a list of choices. Let's plug them in one at a time and see what happens.
If y = 5, then
y^2 - 7x^2 = 11
5^2 - 7x^2 = 11
25 - 7x^2 = 11
-7x^2 = 11-25
-7x^2 = -14
x^2 = -14/(-7)
x^2 = 2
But x^2 = 2 does not have any integer solutions. The two solutions are irrational. So we can rule out choice F.
Repeat for y = 4 and you should find that x^2 = 5/7, which also does not have any integer solutions. Choice G can be ruled out.
Choices H through K are even worse. Not only are there no integer solutions, but there aren't any real number solutions either (there are complex or imaginary solutions though). Plugging in y = 3 leads to x^2 = -2/7 which has imaginary solutions due to applying the square root to a negative radicand. Similar situations happen with J and K as well.
In summary, none of these answer choices are valid. We need to have two integers x and y that satisfy the equation. I think your teacher made a typo somewhere.
What is the slope of the line joining (8, 8) and (12, 6)? −2 negative one over two start fraction one over four end fraction start fraction one over two end fraction
Answers
Answer:
-1/2
Step-by-step explanation:
slope is [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]
so:
[tex]\frac{6-8}{12-8} = -\frac{2}{4} = -\frac{1}{2}[/tex]
Which graph represents this function f(x)=1/2x-5
Answers
Answer:
The first graph(Left)
Step-by-step explanation:
Because in this form 1/2 is the slope and -5 is the y intercept.
Answer:
Graph B
Step-by-step explanation:
Without even having to look at the numbers, we can see the answer is graph B because the slope in the function is positive, and B is the only positive graph! (rising when approaching positive infinity)
Hope this helped! :)
Two choises! Pick the right one!
Answers
Answer:
The function has a maximum value of 3 that occurs at x = 1.
Step-by-step explanation:
First, note that the leading coefficient is negative. This means that the parabola will curve downwards. Because of this, the function has a maximum. The maximum value will simply be the vertex.
The formula for the x-coordinate of the vertex is -b/2a.
a=-3, b=6, c=0
Plug in the numbers:
x=-(6)/2(-3)
=-6/-6=1
Now, plug 1 back into the original function:
-3x^2+6x
-3(1)^2+6(1)
=-3(1)+6
=-3+6
=3