Use Pythagoras Theorem to determine which of the following shapes are rectangles. please awnser
Answers
Answer:
(a) - no, (b) - yesStep-by-step explanation:
Use equation and compare results:
d² = a² + b²(a)
10.15² = 8.1² + 6.3²103.0 ≠ 105.3, no(b)
15.31² = 14.4² + 5.2²234.4 = 234.4, yes#a
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto (10.15)^2=(8.1)^2+(6.3)^2[/tex]
[tex]\\ \sf\longmapsto 103=65.61+39.69[/tex]
[tex]\\ \sf\longmapsto 103\neq 105.3[/tex]
No
#b
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto (15.31)^2=(14.4)^2+(5.2)^2[/tex]
[tex]\\ \sf\longmapsto 234.4=207.3+27.1[/tex]
[tex]\\ \sf\longmapsto 234.4\neq 234.4[/tex]
Yes
Related Questions
Sampling Seventy-two percent of Americans squeeze their toothpaste tube from the top.
This and other not-so-serious findings are included in The First Really Important Survey of
American Habits. Those results are based on 7000 responses from the 25,000 questionnaires
that were mailed.
a. What is wrong with this survey?
b. As stated, the value of 72% refers to all Americans, so is that 72% a statistic or a parameter?
Explain.
c. Does the survey constitute an observational study or an experiment?
Answers
A bookshelf contains 6 German books, 4 Spanish books and 7 French books. Each book is different from one another. How many different arrangements can be done of these books if
Answers
Answer:
17 different arrangements
Step-by-step explanation:
6+4+7=17
A bag contains 11 apples and 6 oranges. If you select 6 pieces of fruit without looking, how many ways can you select exactly 5 apples
Answers
Answer:
you have a 11/17 percent chance of getting an apple
Step-by-step explanation:
if there are 11 apples and 6 oranges. 11 out of 17 times you will get an apple
express (25 1/2) ^3 in simplest radical form
Answers
Step-by-step explanation:
i think this is the answer if it's wrong I'm sorry
1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin
Answers
Answer:
Second is the correct answer but i think all are correct
elect all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.
Which statements about this study are true?
This study uses blinding.
This study uses blocking.
This study uses a control group.
This study uses a repeated measures design.
This study uses random sampling.
Answers
this study uses random sampling
this study uses a control group
this study uses a repeated measures design
plato/edmentum
Answer:
This study uses a control group. This study uses a repeated measures design.
Materials and labor for each pet groomed
costs $15. The business also has fixed costs
of $1,000 each month. Define a cost
function for this business.
Answers
Answer:
f(x) = 15x + 1,000
Step-by-step explanation:
y = mx + b
the 15 is the slope or rate and 1000 is the fixed value ( y intercept)
A coin is tossed 4 times. What are the odds against the coin showing tails all 4 times?
Answers
Answer:
1/16
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex]
s2=16, what is this?
Answers
Answer:
s= 4,-4
Step-by-step explanation:
y varies jointly as x, z, and w. when x=2, z=1, and w=12, then y=72. find y when x=1, z=2, and w=3
Answers
EXPLANATION:
y=kxzw
where k is a constant
Making k the subject of the formula, we have
k=y/xzw
Inputting the values
k= 72/(2)(1)(12)
k=72/24
k = 3
Solving for y when x=1,z=2 and w=3
We have
y=kxzw
y = (3)(1)(2)(3)
y = 18
Write the first five terms for the following recursive rule.
f(1)=7
f(n)=f(n-1)+12
Answers
Answer:
PLEASE MARK ME AS BRANLIEST!!!!!
Step-by-step explanation:
a1 = first term; an= an-1 + d a1 = the first term in the sequence an = the nth term in the sequence an-1 = the term before the nth term n = the term number d = the common difference.
{10, 15, 20, 25, 30, 35, } first term = 10, common difference = 5 recursive formula: a1= 10; an= an-1 + 5
f(n) = f(n-1) + 12
f(1) = 7
f(2) = (7-1) + 12 = 18
f(3) = (18-1) + 12 = 29
f(4) = (29-1) + 12 = 40
f(5) = (40-1) + 12 = 51
7, 18, 29, 40, 51
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answers
or
y = 2.5x + 5
Answer:y=2.5x+5 i thank
Step-by-step explanation:
A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
Answers
reflect the quadrilateral graph on the x axis graph
is the X-axis reflection right?
Answers
Answer:
Step-by-step explanation:
No . B' (reflection of B) and C' (reflection of C) are in the right position, but D' should be at (4, 1) and A' should be at (-2,-4).
Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
Answers
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty
Answers
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate the total area of the rectangle:
21 x 12 = 252
Half of the rectangle is unshaded so:
252 ÷ 2 = 126
For clarification, side A is the top, side B is the left hand side and side C is the bottom.
Now, find the area of the unshaded side of the other triangle. As the length of side C is 21 and the shape is a rectangle, side A is also 21. We need to calculate the amount is unshaded on this side so:
21 - 14 = 7
(7 x 12) ÷ 2 = unshaded
84 ÷ 2 = 42
So now we know the total of the shape that is shaded, we can now subtract this from the total area of the shape:
252 - 126- 42 = 84
Which in fraction form is:
[tex]\frac{84}{252}[/tex]
This can be simplified down by dividing both the numerator and the denominator by 3:
[tex]\frac{84 \div 3}{252 \div 3}[/tex]
=[tex]\frac{1}{3}[/tex]
Hope this helps!
Read the excerpt from "Healthy Eating."
If anything gets in the way of our good eating, it's lifestyle. When you get home from work late, why spend an hour in front of the stove when you can spend two minutes at the microwave? And doesn't that oatmeal box claim to be a good source of calcium for our kids, never mind the small print listing 14 grams of sugar? A small soda at the movies could satisfy a family of four. Even schools have vending machines.
What does the author think is responsible for people's poor eating habits?
A They do not know how to correctly read the nutrition information on food packages.
B They do not know how to prepare healthy meals that are both inexpensive and quick.
C They often choose foods that are quick and convenient instead of ones that are healthy.
D They spend time thinking about work and entertainment instead of thinking about food.
Answers
Step-by-step explanation:
You roll a six-sided die and observe the number showing on the top side when the die comes to rest. What is the probability of observing:
a. an odd number?
b. a number greater than 2?
c. a number less than 7?
d. a prime number?
Answers
Answer:
a. P(O) = ¹/₂ = 0.5
As a percentage, this is 50%
b. P(> 2) = ²/₃ = 0.666...
As a percentage, this is 66.6...%
c. P(< 7) = 1
As a percentage, this is 100%
d. P(prime) = ¹/₂ = 0.5
As a percentage, this is 50%
Step-by-step explanation:
a.
1, 3 and 5 are odd, 3 of the outcomes
2, 4 and 6 are even, 3 of the outcomes
So, 3 of the 6 possible outcomes are odd and 3 are even;
Thus, the probability of an odd roll is ³/₆ (and the same applies to even);
This can be simplified to ¹/₂
b.
3, 4, 5 and 6 are the outcomes > 2;
1 and 2 are the outcomes ≤ 2;
So, 4 of the 6 possible outcomes are > 2;
Thus, the probability of rolling < 2 is ⁴/₆;
This can be simplified to ²/₃
c.
All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;
This means the probability of rolling less than 7 is ⁶/₆, or simply 1
d.
Prime numbers: 2, 3, 5, 7 ...
The possible prime number outcomes are 2, 3 and 5;
3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂
Please can someone help me with this
Answers
Answer:
1 : 0.44.
Step-by-step explanation:
93 : 41
= (93/93) : (41/93)
= 1 : 0.44.
the sum of three consecutive odd integers is 17 less than four times the smallest integer. find the largest integer.
PLSSS helPPP :')
Answers
Answer:
Find three consecutive integers where their sum is 17 less than four times the smallest integer. So consider any integer -- let's call it n.
7 answers
·
1 vote:
Let the smallest of those numbers be [math]n[/math], then the other numbers w
Step-by-step explanation:
is this linear or not and why
Answers
Answer:
YesStep-by-step explanation:
Both equations of this system are of degree one.
They are both linear as the graph of both is a line.
Answer:
yes
Step-by-step explanation:
The highest power of variable is 1 . So it is a linear equation of two variables .
Solve 12x- 6y = 18 for y.
Answers
Subtract 12x
-6y = -12x + 18
Divide by -6
Y = 2x - 3
The given equation solved for y as y=2x-3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 12x-6y=18.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
6(2x-y)=18
⇒ 2x-y=3
⇒ y=2x-3
Therefore, the given equation solved for y as y=2x-3.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
One more dilation problem
Write the rule to describe each transformation??
Answers
Answer:
it is strech
Step-by-step explanation:
The dilation of triangle QRS is stretched by scale factor 1/2.5.
From the Figure,
The coordinates of S(-1, 0), R(-1, 1) and Q(2, 0)
and, the coordinates of S' (-2.5, 0), R'(-2.5, 2.5) and Q'(5, 0).
Now, the scale factor is
= side of QRS / side of Q'R'S'
As, side of QR = 3 unit and side of Q'R' = 7.5 unit.
So, the scale factor is
= 3 /7.5
= 1 / 2.5
Thus, the dilation is stretched by scale factor 1/2.5.
Learn more about Scale Factor here:
https://brainly.com/question/29464385
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Hello there hello hello
Answers
Answer:
(-4,-7)
Step-by-step explanation:
The process of a reflection across the y axis is simply just switching the x value in (x,y) to a negative. So, (4,-7) and then make 4, a -4. So the resulting image is (-4,-7)
Answer:
Ah hello!
Step-by-step explanation:
The net price of a hand phone after allowing trade discount of 20% was RM2,000. Find what is the list price of the hand phone.
Answers
Answer:
RM1,600
Step-by-step explanation:
2000 * 0.20= 400
2000-400= 1600
My dinner at San Felipe cost $8.20 before tax and $9.96 after tax. What was the sales tax rate?
*Round to the nearest whole percent.
Show Your WorK
Answers
Answer:
Sale tax rate = 21.46%
Step-by-step explanation:
Sale Tax % = ( Amount after sale tax - Original cost) ÷ original × 100
Sale Tax % = ( $9.96 - $8.20) ÷ $8.20 × 100
Sale Tax % = $1.76 ÷ $8.20 × 100
Sale Tax % = .2146341463 × 100
Sale Tax % = 21.46
What is one website you can visit in order to request free credit report from any of the three bureaus?
Answers
Answer: annualcreditreport.com
Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228
NO LINKS!!!
What are the differences between arithmetic and geometric sequences?
Answers
Answer:
An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.
TOT ROLIOS
-: Study Guide Ratios (Quiz 1)
Arroz Con Leche
Arroz con leche is a creamy dessert from Mexico and Spain.
Nia wants to use 6 cups of rice.
1. How much of each ingredient does she need?
Ingredients
Serves 4 people
2 cups of rice
4 cups of milk
.
cups of rice
.
cups of milk
į cup of sugar
cups of sugar
i handful of raisins
1 cinnamon stick
handfuls of raisins
cinnamon sticks
How many people will this larger batch of Arroz Con Leche serve?
Answers
Answer:
If Mia wants to use 6 cups of rice, she would need to multiply the amount of each ingredient by 3, because the original 2 cups times 3 is the 6 cups she wants to use. So the new amount for the recipe would be this:
6 cups of rice
12 cups of milk
1 cup of sugar
3 handful of raisins
3 cinnamon sticks
When asking how many this will serve, we also multiply by 3 the original amount of people which is 4 to get 12 servings of Arroz con leche
i need the answer it on edge
Answers
Answer: 3x^3+2x+5
Step-by-step explanation:
I attached my written work but put simply take the value of x which in this case is -2 because x+2 also means x= -2. Then line up the coefficients next to -2 which should be in a box. So the coefficients 3, 6, 2, 9, and 10. Drop the first coefficient down which is 3 and multiply it by your x value. so the combo is multiply, add, drop. starting with 3 drop it down then multiply it by -2 to get -6. Then add -6 to the second coefficient which is 6 to get 0 so drop zero down. Then again multiply 0 by -2 to get 0 then add zero to 2 to get 2 then drop down 2. So continue till the end remmebr the only multiplication you are doing is against the x value which in this case is -2. at the end you should have 5 numbers left. Here we end with 3, 0, 2, 5, 0. So we want a zero as the last number which means we have no remainder. If the last number is not zero do not PANIC. just kidding but seriously though relax. Put the number over your expression x+2 so for example if the last number was 5 instead of zero DONT PANIC just finish your answer with 5/x+2. SO back to the 3, 0, 2, 5, 0. We add the corresponding x's to these numbers so [tex]3x^{3}+0x^{2} +2x+5[/tex] which also equals [tex]3x^3+2x+5[/tex]
