Answer:
DE = BE = x
x = 29² - 21²
= √400
= 20
x = 20
y = 20² + 99²
= √10201
= 101
y = 101
perimeter of kite ABCD : 29 + 29 + 101 + 101
= 260
Algebra A
dations and inequantes
2. Which of the following graphs would represent the solution to y + 2 > 5?
-2 -1 0 1
2 3 4 5 6 7 8 9 10
+++
-109-8-7-6-5-4-3-2-101234 5 6 7 8 910
-2 -1 0 1 2 3 4 5 6 7 8 9 10
-2 -1 0 1 2 3 4 5 6 7 8 9 10
H4
[tex]\\ \tt\longrightarrow y+2>5[/tex]
[tex]\\ \tt\longrightarrow y>5-2[/tex]
[tex]\\ \tt\longrightarrow y>3[/tex]
[tex]\\ \tt\longrightarrow y\in (3,\infty)[/tex]
Graph attached
Answer:
see attached diagram
Step-by-step explanation:
y + 2 > 5
Subtract 2 from both sides:
⇒ y > 3
Graphing inequalities
< or > : dashed line to show that the line is not included in the region.
≤ or ≥ : solid line to show that the line is included in the region.
Draw a horizontal dashed line at y = 3 and shade above the line.
Number line
≤ or ≥ : closed circle
< or > : open circle
Draw an open circle at 3 and shade to the right.
Answers for these? If anyone can do my last 5 credits of geometry let me know I can pay you, just never been good at geometry
Step-by-step explanation:
F = 9(11) + 19 [ z = 11]
= (9 × 11) + 19
= 99 + 19
= 118
H = 11(11) - 3 [z = 11]
= 11 ×11 - 3
= 121 - 3
= 118
Answer:
Angle F and H are equal, and Angle E and G are equal. EFGH is a parallelogram because opposite angles are congruent.
Step-by-step explanation:
Step 1:
Insert z=11 into (9z+19), angle F, and (11z-3), Angle H, to find the angle lengths.
9(11)+19=118
11(11)-3=118
We see that they are the same angles! In step 2, we see the same thing happen. Note that the definition of parallelograms is that opposite sides and angles are equal.
Sentence completion: Angle F and H are equal (We see that in step 1), and Angle E and G are equal (Shown in step 2, which is done for you.) EFGH is a parallelogram because opposite angles are congruent. Hope this helps!
Pls help me, I need it pls
Answer: think your not stups ur smart
Step-by-step explanation:
Identify the equation in slope-intercept form for the line containing the point (0,7) and perpendicular to y=−5/4x+11/4.
Answer:
4/5x + 7
Step-by-step explanation:
the slope-intercept form is y = ax+b
a is the slope, to figure it out the line is perpendicular to y = -5/4x+11/4
There is a rule said if two lines are perpendiculars, the multiplication of their slopes = -1, so -5/4 * a = 1, solve for a = 4/5
b is the intercept to get it use the point (0,7)
so y = 4/5x+b, 7 = 4/5 * 0 + b, then b = 7
Different types of bees are very similar in appearance. Statistical analysis of certain measurements, like wing width, can be used to distinguish one kind of bee from another. The wing width for a specific type of honeybee is approximately normally distributed with a mean of 2.82 millimeters (mm). A random sample of 10 bees is taken from a hive and the wing widths are given below. Are the sample bees likely to be from a population of this one type of honeybee? determine p value that would be associated with two-tail hypothesis test
Answer:
Please see the analysis
The p-value that would be associated with the two-tail hypothesis test is 0.03.
What is a Hypothesis Test?A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters.
How to determine?The mean will be 2.587
The standard deviation will be 0.467
By two tail test,
The p-value is 0.03
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4 5/6 subtracted by 2 2/6
Answer:
41/12
Step-by-step explanation:
Answer:
2 1/2 (or 2 3/6)
Step-by-step explanation:
[tex]\frac{Numerator}{Denominator}[/tex]
both denominators are the same so you can just subtract 2 from 4 and also the numerators which are 2 and 5.
4 - 2 = 2
5/6 - 2/6 = 3/6
so the answer is 2 3/6 which simplifies to 2 1/2
In a bag, there are a total of 50 dimes and quarters. 40% of the coins are quarters and 35% of the quarters are on heads. How many of the quarters are on tails?
Answer:
13 quarters must be tails.
Step-by-step explanation:
Number of quarters = 40% of 50 coins
Number of quarters = 40/100 * 50 = 20 coins which are quarters.
35% of these 20 quarters on heads. We can proceed in 2 ways from here.
We can actually find the number of quarters that are on heads.
35/100 * 20 = 7 quarters are showing heads.
Since the other quarters must be tails 20 - 7 = 13 quarters must be tails.
The other way to do it is to realize that if 35% of the coins are heads, 65% of the coins must be tails 20 * 65/100 = 13 which is a bit more direct.
how many 2/5 are in 4?
Answer:
10
For this case what we must do is a division using the following relationship:
Substituting values we have:
Rewriting the fraction we have:
Simplifying we have:
Answer:
The number of times repeated 2/5 for 4 is:
10
Consider the following quadratic equation.
(x + 3)2 = 43
When taking the square root of both sides of this equation, how many solutions will the equation
have? How do you know?
Answer choices ⬇️
Answer:
(x+3)
2
=43
BY TAKING SQUARE ROOT ON BOTH SIDES
x + 3 = \sqrt{43}x+3=
43
OR
x + 3 = - \sqrt{43}x+3=−
43
THUS
x = \sqrt{43} - 3x=
43
−3
OR
x = - \sqrt{43} - 3x=−
43
−3
THIS QUADRATIC EQUATION HAS 2 SOLUTIONS SINCE √43 CAN BE A POSITIVE OR A NEGATIVE INTEGER. FOR EXAMPLE, 2^2=4
BUT, (-2)^2=4 Thus. √4=2 or (-2)
After this. Simply shifting the 3 on the LHS to keep 'x' on one side to find its value.
Taking the square root of both sides of the equation (x + 3)² = 43 will result in two solutions for x.
The correct option is C.
What is a quadratic equation?A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.
When taking the square root of both sides of the equation (x + 3)² = 43, we get:
x + 3 = ±√43
To solve for x, we can subtract 3 from both sides:
x = -3 ±√43
So there are two solutions for x:
x = -3 + √43
x = -3 - √43
Therefore, the solutions are x = -3 + √43 and x = -3 - √43.
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Write 1.52888… as a mixed number in simplest form
Answer:
1 6611/12500
Step-by-step explanation:
1 is the whole number and 6611/12500 is in simplest form :)
Find the cube roots of 27(cos 330° + i sin 330°)
Answer:
See below for all the cube roots
Step-by-step explanation:
DeMoivre's Theorem
Let [tex]z=r(cos\theta+isin\theta)[/tex] be a complex number in polar form, where [tex]n[/tex] is an integer and [tex]n\geq1[/tex]. If [tex]z^n=r^n(cos\theta+isin\theta)^n[/tex], then [tex]z^n=r^n(cos(n\theta)+isin(n\theta))[/tex].
Nth Root of a Complex Number
If [tex]n[/tex] is any positive integer, the nth roots of [tex]z=rcis\theta[/tex] are given by [tex]\sqrt[n]{rcis\theta}=(rcis\theta)^{\frac{1}{n}}[/tex] where the nth roots are found with the formulas:
[tex]\sqrt[n]{r}\biggr[cis(\frac{\theta+360^\circ k}{n})\biggr][/tex] for degrees (the one applicable to this problem)[tex]\sqrt[n]{r}\biggr[cis(\frac{\theta+2\pi k}{n})\biggr][/tex] for radiansfor [tex]k=0,1,2,...\:,n-1[/tex]
Calculation
[tex]z=27(cos330^\circ+isin330^\circ)\\\\\sqrt[3]{z} =\sqrt[3]{27(cos330^\circ+isin330^\circ)}\\\\z^{\frac{1}{3}} =(27(cos330^\circ+isin330^\circ))^{\frac{1}{3}}\\\\z^{\frac{1}{3}} =27^{\frac{1}{3}}(cos(\frac{1}{3}\cdot330^\circ)+isin(\frac{1}{3}\cdot330^\circ))\\\\z^{\frac{1}{3}} =3(cos110^\circ+isin110^\circ)[/tex]
First cube root where k=2
[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(2)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ+720^\circ}{3})\biggr]\\3\biggr[cis(\frac{1050^\circ}{3})\biggr]\\3\biggr[cis(350^\circ)\biggr]\\3\biggr[cos(350^\circ)+isin(350^\circ)\biggr][/tex]
Second cube root where k=1
[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(1)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ+360^\circ}{3})\biggr]\\3\biggr[cis(\frac{690^\circ}{3})\biggr]\\3\biggr[cis(230^\circ)\biggr]\\3\biggr[cos(230^\circ)+isin(230^\circ)\biggr][/tex]
Third cube root where k=0
[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(0)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ}{3})\biggr]\\3\biggr[cis(110^\circ)\biggr]\\3\biggr[cos(110^\circ)+isin(110^\circ)\biggr][/tex]
Determine whether the given value is a solution of the equation.
Answer:
13 is a solution.
Step-by-step explanation:
[tex]7w = 94 \\ \frac{7w}{7} = \frac{94}{7} \\ w = 13.42 \\ [/tex]
13.42 ≈ 13
What are the distance and slope formulas answers for the following question?
123456799203837i3i3i2o2o3o4ieue
ANSWER it please Math.Help. Give Explanation on how you did it, too, because my brain needs to know
[tex]\boxed{y}=\cfrac{1}{2}x-4\\\\ y=-2x+1 \end{cases}\qquad \qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\boxed{y}}{\cfrac{1}{2}x-4}~~ = ~~-2x+1} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{1}{2}x-4 \right)~~ = ~~2(-2x+1)}\implies x-8=-4x+2\implies 5x-8=2[/tex]
[tex]5x=10\implies x=\cfrac{10}{5}\implies \blacktriangleright x=2 \blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{y==\cfrac{1}{2}x-4}\implies y=\cfrac{1}{2}(2)-4\implies \blacktriangleright y = -3 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (2~~,~~-3)~\hfill[/tex]
Which statement is true about 68 and 112?
A. 68 is greater than 112 because the benchmark 0 is closer to 68 than it is to 112.
B. 68 is less than 112 because 68 is less than the benchmark 12, and 112 is greater than the benchmark 12.
C. 68 is less than 112 because benchmark 1 is closer to 68 than it is to 112.
D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.
Answer:
D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.
Find the price of each item.
this
Candy and a rose cost $7.25.
A rose and a card cost $4.25
Candy and a card cost $6.00.
Answer:
$7.25 + $4.25 + 6.00 = $17.50
Step-by-step explanation:
7.25 + 4.25= 11.50 + 6.00= 17.50
Sheila lives in a $95,000 brick home in the country with contents valued at
$15,000. Use the table below to calculate her monthly property insurance
premium.
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
City 0.39 0.43 0.5 0.54 0.55 0 65 0.66 0.76
Suburb 0.45 0.52 0.56 0.63 0.72 0.74 0.83
0.85
Rural 0.6 0.69 0.71 0.8 0.89 0.91 1
1.02
A. $95.00
B. $56.13
C. $173.50
D. $78.65
Her annual property insurance premium is $673.50.
Option A is the correct answer.
What is insurance?Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.
here,
We have,
To calculate Sheila annual property insurance premium, we need to determine the appropriate rating based on the type of house and the area where it is located. Aida's house is a brick house in the country,
So we need to use the "Brick" and "Rural" ratings from the table.
The rating for the building is 0.6 per $100 of coverage, so for a value of $95,000, the premium for the building is:
0.6 x $950 = $570
The rating for the contents is 0.69 per $100 of coverage, so for a value of $15,000, the premium for the contents is:
0.69 x $150 = $103.50
The total annual premium is:
$570 + $103.50 = $673.50
Thus,
Her annual property insurance premium is $673.50.
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Which inequality represents all values of x for which the product below is
defined?
A. x2-2
B. X20
c. xs-2
D. x >0
Answer:
B
Step-by-step explanation:
First you put that then multiply inside of that then you cross over percent than boom there's your awnser your welcome
The inequality that represents all values of x for which the product is defined is x ≥ 0
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Given is an expression, we need to determine the all values of x for which the product is defined,
The product is √4x · √x+2
We must meet both conditions:
(4x) ≥ 0 and (x+2) ≥ 0
So, 4x ≥ 0
x ≥ 0
And, x ≥ -2 [subtract 2 from both sides.]
So, we can say the condition should be x ≥ 0
Hence, the inequality that represents all values of x for which the product is defined is x ≥ 0
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A stick 1 meter long casts a shadow 1.4 meters long. A building casts a shadow 21 meters long. How tall is the building (to 2 decimal places)
Step-by-step explanation:
similar triangles.
all angles are the same in both triangles.
and the ratio of the lengths of a pair of corresponding sides in both triangles is the same for all corresponding side pairs.
so,
21 / 1.4 = height / 1 = height = 15
the building is 15.00 meters tall.
find the volume and round to the nearest whole number
Answer:
527 cubic meters
Step-by-step explanation:
The area of the cube would be 7.5^3 and the area of the rectangular prism would be 3.75*3.75*7.5. Then it would be 421.9 + 105.5 and rounded to the whole number the answer would be 527
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
how do you find the value of pi using the area
Answer:
How to find the area in terms of pi?
Answer: First divide the circumference by Pi to give the diameter of the circle (27 divided by 3.14 = 8.59...). Now halve the diameter to give the radius (8.59 divided by 2 is 4.29...). Now use Pi*r^2 to find the area of the circle (Pi times 4.29^2 = 58.0 cm^2 to 1 decimal place)
Step-by-step explanation:
Solve the formula for x.
Jx + Ky=M
Does the 90% confidence interval for the reduction in crime in the preschool group include zero? A. No, the 90% confidence interval for the population proportion is 1.70 1.70 to 4.10 4.10. (Round to two decimal places as needed.) Your answer is not correct.B. Yes, the 90% confidence interval for the population proportion is enter your response here to enter your response here . (Round to two decimal places as needed.) Part 3 Is this important? A. Yes, if zero is included in the confidence interval, then it is possible that there is a difference between the preschool programs. B. No, this is not important because confidence intervals always contain zero. C. No, this is not important because confidence intervals never contain zero. D. Yes, if zero is included in the confidence interval, then it is possible that there is no difference between the preschool progra
Help me with this please !! , the struggle is reall. :/
Answer: The slope would be 2/3. The parallel slope would be 2/3. the parallel intercept is -4
Step-by-step explanation: I how this helps!
With an 80% full tank a vehicle can travel 500 kilometers.How far can it travel with a full tank?Give the answer to the nearest kilometer
Answer:
625
Step-by-step explanation:
so we do 500/ 0.6 = 625
a box of dog biscuits biscuits has 18 biscuits a box cost $2.88 how much does one biscuit cost
Answer:
0.16
Step-by-step explanation:
2.88 divided by 18 = .16
Answer:
0.16
Step-by-step explanation:
2.88/18 = 0.16
because you divide the total cost of the box of dog biscuits with the total amount of biscuits that are in the box and then that gives you 0.16.
So each dog biscuit cost $ 0.16
Pls, look at the picture for the question.
Answer:
It would be m = -2
Step-by-step explanation:
For this line slope would be negative because it is going down. It is going 2 down 1 across. Since it is rise over run it would be -2/1.
Give any two (2) reason why addition and subtraction should be taught first.
Answer:
I think they should be taught first so that later on they can use it, and also just in case they forget to know how to multiply or divide they can sorta use addition and subtract for it.
Another reason is that it is easier and since they are teaching it to younger kids it would be helpful to start off a bit easy.
Step-by-step explanation:
I hope it helps, sorry if it doesn’t!
Muffin<3