Answer:
The length is 12 cm, and the width is 9 cm.
Step-by-step explanation:
The length and width of a rectangle as legs form a right triangle with the diagonal of the triangle as the hypotenuse.
We can use the Pythagorean theorem to write an equation.
Let the width = w = leg a
The length = w + 3 = leg b
The diagonal = the hypotenuse = 12 = c
a^2 + b^2 = c^2
w^2 + (w + 3)^2 = 15^2
w^2 + w^2 + 6w + 9 = 225
2w^2 + 6w - 216 = 0
w^2 + 3w - 108 = 0
(w + 12)(w - 9) = 0
w + 12 = 0 or w - 9 = 0
w = -12 or w = 9
Since a width cannot be a negative number, we discard the solution w = -12.
width = w = 9
length = w + 3 = 9 + 3 = 12
Answer: The length is 12 cm, and the width is 9 cm.
Help pls I am in 4th and my sister is at school help
Answer:
0.125
Step-by-step explanation:
Answer
0.125
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Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?
Answer:
See Below
Step-by-step explanation:
Total no of students = 24
No of boys = 10
So, no of girls = 24 - 10 = 14
Ratio of boys to girls = 10/14 = 5/7 = 5 : 7
So the ratio of boys to girls should be 5 : 7 and not 5 : 12
Why are inverse operations and
properties of equality important when solving
equations? Explain.
Answer:
An inverse operation is two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality. This gives us a couple of properties that hold true for all equations.
Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina Need?
A. 13 Feet
B. 26 Feet
C. 39 Feet
D. 44 Feet
Answer:
The perimeter of the fencing is 44 feet (Option D)
Step-by-step explanation:
Area and Perimeter
A square shape of side length (a) has an area given by:
[tex]A = a^2[/tex]
And its perimeter is calculated as:
P = 4a
The area of Katrina's square garden is given as A=121 square feet. We need to calculate the side length by solving for a:
[tex]a=\sqrt{121}[/tex]
a = 11 feet
Once we know the value of a, then we calculate the perimeter:
P = 4*11 = 44
The perimeter of the fencing is 44 feet (Option D)
When finding all the unknown values in similar right triangles you
have choices: you can use Proportional Relationships or the Pythagorean
Theorem. Which would you use for each of these examples, and why?
Find all the missing sides!
Answer:
sffsffrdffffgtgttgfftggggfhfffddgddgff
In the diagram below AC is parallel to rp:
How many units? please help!
The perimeter of the triangle ABC will be 54 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In the diagram, AC is parallel to RP.
Then the triangle ABC and RBP will be similar.
Then the ratio of the corresponding sides will be constant.
BP / 10 = 7 / 14
BP = 5
Then the perimeter of the triangle ABC will be
Perimeter = 7 + 14 + 18 + 10 + 5
Perimeter = 54 units
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
20. The Sanchez family wants to rent a boat for fall break.
Grand Canyon Boat Rental's is offering a boat for $25
per day and a $90 non-refundable deposit.
Superstition Boat's is offering a boat for $40 per day
and a $35 non-refundable deposit.
If the Sanchez family is planning on renting the boat for 6
days which company should they choose?
Answer:
superstition boat's
Step-by-step explanation:
25 x 6 + 90=240
40 x 6 + 35=275
Jonathan’s math test scores were 87, 93, 85, 62, and 95. What was his mean score?
Answer:
Jonathan's mean score is:
(87+93+85+62+95)/5
=422/5
=84.4
A company manufactures plastic eggs, filling each egg with either a prize - a piece of candy -or no prize – a rock. Natasha’s father buys and hides dozens of the eggs in the garden. Natasha runs out and fills her basket with 10 eggs (the basket is small). Natasha’s father tells her that the manufacturer states that 67 percent of the eggs have a rock inside them. Natasha is the only person searching for eggs.
(A) Is the scenario above a binomial setting, a geometric setting, or neither? Fully justify your response, citing pertinent criteria for your answer.
(B) What is the probability that Natasha’s basket has exactly 7 eggs with rocks?
(C) What is the expected number of eggs with rocks that Natasha will have in her basket?
Answer:
[tex]\red{\underline{\underline{\sf{Answer :-}}}} [/tex]
There are three characteristics of a binomial experiment. There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials. There are only two possible outcomes, called “success” and “failure,” for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial.
p
+
q
=
1
. The n trials are independent and are repeated using identical conditions. Because the n trials are independent, the outcome of one trial does not help in predicting the outcome of another trial. Another way of saying this is that for each individual trial, the probability, p, of a success and probability, q, of a failure remain the same. For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly. Suppose Joe always guesses correctly on any statistics true-false question with probability
p
=
0.6
. Then,
q
=
0.4
. This means that for every true-false statistics question Joe answers, his probability of success
(
p
=
0.6
)
and his probability of failure
(
q
=
0.4
)
remain the same.
The outcomes of a binomial experiment fit a binomial probability distribution. The random variable
X
=
the number of successes obtained in the n independent trials.
The mean,
μ
, and variance,
σ
2
, for the binomial probability distribution are
μ
=
n
p
and
σ
2
=
n
p
q
. The standard deviation,
σ
, is then
σ
=
√
n
p
q
.
Any experiment that has characteristics two and three and where
n
=
1
is called a Bernoulli Trial (named after Jacob Bernoulli who, in the late 1600s, studied them extensively). A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials.
Help............................
Answer:
I think it is B, or the second one
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
There are three times as many girls as boys in a school .Find an expression in term of x for the total number of student in school ,where x represent the number of boys in the school
Answer:
Total number of students = 4x
Step-by-step explanation:
Let the number of boys be x
Since, no of girls = 3 times the no of boys
So, number of girls = 3x
Total number of students = no of boys + no of girls
Total number of students = x + 3x
Total number of students = 4x
Answer:
The total number of students is 4x
Step-by-step explanation:
Hope this helped have an amazing day!
Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5
Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
3=1/3*6+b
3=2+b
1=b
now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
An ordinary coin is thrown 50 times.
Barry says "I am going to get heads 25 times and tails 25 times."
Explain why he could be wrong.
He could get 25 heads out of the 50 times but the percentage of happening that is very narrow.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
given, An ordinary coin is thrown 50 times. Barry says "I am going to get heads 25 times and tails 25 times."
To better understand Why he could be wrong we need to Understand the difference between Theoretical probability and Actual probability:
The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.
Because theoretical probability is based on models rather than reality, it isn't very helpful for determining probability in the actual world. Subjective probability is dependent on an individual's own assumptions and biases. It's the likelihood that an individual will encounter the result they are anticipating based on their prior experiences.
Learn more about probability here:
https://brainly.com/question/30034780
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"Seventeen more than the product of a number and -3 is less than -29" translate this inequality
Answer: -3x + 17 < 29
product means multiply, so we multiply -3 and x as seen in the answer.
the less than sign is <. to remember it: less than starts with L and the sign < looks like an L
Helppp I’ll make u a brainlister
Answer:
108 deg
Step-by-step explanation:
Since sides DB and CD are congruent, then opposite angles are congruent.
m<C = m<B = 36
m<B + m<C + m<D = 180
36 + 36 + m<D = 180
m<D = 108
Johnny ran 18.28 meters in a football game. How many yards did he run?
Answer:
19.991251 yards
Step-by-step explanation:
Answer:19.69 yards
Step-by-step explanation:
I asked Siri nah I’m kiddin if one meter is about .91 meters you just have to add .91 to. 18.28
1. Natasha worked at a diner for $10per hour last week and already had $42 in her bank account? She paid $206 for a prom dress. The equations 206 = 42 + 10h represents this problem. How many hour did she work to pay for the prom dress?
2. Translate the following sentence into a mathematics equation. The sum of 10 and five time a number is the same as the difference of the number and 6
Answer:she worked 17 hours
Step-by-step explanation: 10×17=170+42=212
Answer:
She worked 16.4 hours
Step-by-step explanation:
Mary Catherine makes 2 gallons of punch for her party. How many quarts of punch did she make?
Answer:
8
Step-by-step explanation:
1 gallon equals 4 quarts so 4*2=8
The product of a number and -7 is greater than 42
Answer:
-7*x>42
Step-by-step explanation:
-7 times any negative number greater than 6 is equal to more than 42
Simplify 81 to the negative 3 fourths power. (1 point)
Question 8 options:
1)
−27
2)
negative 1 over 27
3)
27
4)
1 over 27
Answer:
negative 1 over 27
Step-by-step explanation:
81 * negative 1 over 27 = -3
Answer:
[tex] \dfrac{1}{27} [/tex]
Step-by-step explanation:
[tex] 81^{-\frac{3}{4}} = [/tex]
[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]
[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]
[tex] = \dfrac{1}{(3)^3} [/tex]
[tex] = \dfrac{1}{27} [/tex]
find the least number that must be added to 1400 so as to get a perfect squre. full explanation
Answer:
so what is the next perfect square after 1400? That's what they are asking.. so I used my calculator to find it..
Step-by-step explanation:
the square root of 1400= 37.41..... but since we want a perfect square.. take 38 squared.. which is 1444 so now we know.. to add 44 to 1400 .... that's your answer 44
Driving 288 miles in 4 hours is a total rate of blank miles per hour. Need it fast
Answer:
Step-by-step explanation:
288 divided by 4 = 72
72X4=288
Hope it helps
In an obtuse triangle, the measures of two angles are 20° and 10°. What is the measure of the third angle?
Answer:
150 degrees
Step-by-step explanation:
180-20-10
Answer:
10 degrees
Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.
a car rental company charges an initial fee plus a fee per kilometer driven. if a car drives 105 kilometers and pays 183 dollars what is the company's initial fee
Answer:
a
mark
me
brainlist
omg
Step-by-step explanation:
If rong let
p
l
e
a
s
.
me know
the answer is 100 dolers$
Please help!!!!! will mark brainliest
Answer:
It should be B- an=3n+1 because it seems to be adding one every time
Step-by-step explanation:
Answer:
We will count number of squares
first term is 4
so,
second term is 7
so,
third term is 10
so,
We can see that this sequence is in arithematic sequence
we can use nth term formula
where
an is nth terms
a1 is first term
d is common difference
n is total number of terms
now, we can plug values
and we get
b 3n+1
Step-by-step explanation:
Mackenzie built the small lego set it cost $5.49 Caleb built the large lego set how much do you think the large lego set cost
Answer:
Since there is no available data for the Lego set, it is safe to assume that the cost would be definitely higher than the small Lego set built by Mackenzie. For example, if the dimension of the small Lego set is 50 X 30 X 6 (length X breadth X height all in cm ) which cost Mackenzie $5.49.
On the other-hand, let assume that, the large Lego set built by Caleb is twice that of Mackenzie Lego set (that is 100 X 60 X 12 ), it could be found that, the cost for the large Lego set would cost minimum of $10.98
Step-by-step explanation:
In an Animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs, how many cats are there?
Answer: 25:15
Step-by-step explanation: in the ratio 5:3 the 5 is dogs and the 3 is cats you multiply the 5 (aka the dogs) by 5 to get 25 (the amount of dogs in the shelter) when you multiply 3 by 5 you get the amount of cats which is 15, a good way to remember is what you do to one side you have to do to the other. I hope this helps.
DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the translation.
Answer:
If you're on edge and it's the multiple choice one it would be a
Graph f( x)3/2 x= x+2
Answer:
I don't believe there is a slope or y-intercept for this expression.
Step-by-step explanation:
There is no vertical, horizontal or oblique asymptotes that I have found.
I hope this somewhat helped to answer your question.
A 20-oz bottle of soda costs $2.98.What is the cost per ounce?
Answer:
$0.15
Step-by-step explanation:
Answer:
0.149
Step-by-step explanation:
2.98 divided by 20 = 0.149
Answer - 0.149