Answer:
Step-by-step explanation
The shortest length of the right-angled triangle is 4 cm.
What is a right-angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.
Given is, the diagram shows a right-angle triangle.
We have area of the right-angle triangle = 18 cm²
We know that area of a right-angle triangle = 1/2(base)(height)
18 = 1/2(x - 1)(x + 4)
36 = (x - 1)(x + 4)
x² + 4x - x - 4 = 36
x² + 3x - 4 = 36
x² + 3x - 4 - 36 = 0
x² + 3x - 40 = 0
x² - 5x + 8x - 40 = 0
x(x - 5) + 8(x - 5) = 0
x + 8)(x - 5) = 0
x = -8 or 5
we can only use positive numbers because length can't be negative,
Thus, x = 5
The shortest side is definitely one of the 2 legs. The hypotenuse of a triangle is the longest side.
Therefore,
height = x - 1 = 5 - 1 = 4 cm
base = x + 4 = 5 + 4 = 9 cm
Hence, the shortest length of the right-angled triangle is 4 cm.
learn more on right-angled triangle here:
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An arithmetic sequence is given below.
17, 22, 27, 32,
Write an explicit formula for the n
th
term an
a
n
0 0
Х
?
Answer:
n5 + 17
Step-by-step explanation:
They're asking for a pattern.
17 + 5 = 22
22 + 5 = 27
27 + 5 = 32
So it starts at 17 and increases by five each time.
The nth term increases by 5 each time and starts at 17. That means the nth term is multiplied by 5 each time, but you have to add 17 because that's where the pattern starts.
n5 + 17
the diagram shows a circle inside a square ABCDB AB = 20 cm. the radius of the circle is 9 cm. work out the area of the shaded region
Step-by-step explanation:
Area of the square = a²
= 20²
= 400cm²
Area of the circle = πr²
= 22/7 × 9²
= 22/7 × 81
= 254.57cm²
Area of the shaded region = Area of the square - Area of the circle
= 400cm² - 254.57cm²
= 145.43cm²
-8y=-800
what is y?
Plz with the explanation...
Answer:
-100
Step-by-step explanation:
8*-100=-800
need help please due soon!
PLEASE help find measure of angle - TEst review today
Answer:
both measured would be 25 and 19
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
if x equals 4 then 21x+4 equals 88 and 23x-4 equals 88 too.
30% of what number is 3?
Answer:
10
Step-by-step explanation:
To find the number, divide 3 by 0.3
3/0.3
= 10
So, 30% of 10 is 3.
The denominators of a fraction is r more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5 , the fraction obtained is 5/12 . Find the fraction
Answer:
please correct your question
Select all that apply.
40 is what percent of 25. Hint: There are 2 correct answers.
А160%
B 62.5%
C 1600%
D625/1000
E 160/100
F1600/100
Answer:
B and D
Step-by-step explanation:
Hope this helps :3
if it did pls mark brainliest
Answer:
A & E
Step-by-step explanation:
First, multiply 40 by 100, giving you 4000. You then divide 4000 by 25, where you will get a quotient of 160. Now, this can be represented as 160% or 160/100 because a percentage is always out of 100.
Which rational number equals 0.7 ? 1 10 Flo 11
Answer:
0.7 is a rational number... but 7/10
Step-by-step explanation:
Hope I helped!
Answer: This absolutely makes no sense
Step-by-step explanation:
2+10= 12
True or False??
Just for points:)
Answer:
True thank you for the points
Answer:
true
Step-by-step explanation:
2+10=12
true. do i get the points?
1. What is the probability of an odd outcome?
2. What is the probability of an outcome less than 6?
Answer:
1. 50%
2.[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.
2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.
P = N / NP
Dice has 6 faces. I.E. 1,2,3,4,5,6
= 6
NP, therefore, is the total number of possible outcome.
Faces less than 6. (1,2,4, and 5)
N = 5
P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.
Find the third side in simplest radical form:
1&3
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
[tex]1^{2} + 3^{2} =x^{2} \\1+9=x^{2} \\10=x^{2} \\\sqrt{10} =x\\[/tex]
A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?
Answer:
medium
Step-by-step explanation:
Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps
Answer:
medium!! {a p e x :))}
------------------------
Step-by-step explanation:
small: 160/225=0.71*100=71 shirts
medium: 335/375=0.893*100=89 shirts
large: 275/325=0.846153*100=85 shirts
x-large: 125/175=0.714285*100=71 shirts
based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts
Stan, Greg, and Seth were cleaning the school gym in shifts. Stan
cleaned first, then Greg, then Seth. If they each cleaned the same
amount of time for a total of 11 hours, how many minutes did each one
clean?
Challenger Elementary School has 800 students. Every Wednesday, 12% of the students stay after school for Chess Club. How many students attend on Wednesday’s?
Answer:
96 students attend chess club after school on Wednesday's.
Step-by-step explanation:
To solve this problem, simply multiply 800 x 0.12.
800 x 0.12 = 96
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!
Answer:
[tex]\huge\boxed{\text{96 students}}[/tex]
Step-by-step explanation:
In order to find how many students stay back for Chess Club, we want to find 12% of 800.
To do this, we can set up a percentage proportion.
[tex]\frac{12}{100} = \frac{x}{800}[/tex]
We can now solve for x by cross multiplying.
[tex]800 \cdot 12 = 9600\\9600 \div 100 = 96[/tex]
So, 96 students attend Chess Club on Wednesdays.
Hope this helped!
Make & the subject of the
Formula
6x ta=5(x+t)
What is the answer please
Answer:
x = 5t - a
Step-by-step explanation:
The problem deals with making a variable the subject of the formula in the expression.
Given expression:
6x + a = 5(x + t)
We are to make x the subject of the formula in the expression
Solution:
6x + a = 5(x+t)
On the right hand side, expand the parentheses and distribute the term outside;
6x + a = 5x + 5t
Bring the term desired to be the subject to one side by adding (-5x) to both sides;
6x + (-5x) + a = 5x + (-5x) + 5t
x + a = 5t
Now add (-a) to both sides
x + a + (-a) = 5t + (-a)
x = 5t - a
HELP:( I know I’m slow and all asking all these question today but...
Second answer
Step-by-step explanation:
HURRRRY!!!! Thank you
Answer:
C
Step-by-step explanation:
Uhm I tried my best im so sorry if it's wrong
it is B yep he was right have a nice day
I don't know how to solve this question.
Answer:
P=Q=R
Step-by-step explanation:
Mark me as brainliest
Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?
Answer:
She got an equally good deal both times
Step-by-step explanation:
[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
they are the same
Find the measures of the exterior angles of the polygon.
Step-by-step explanation:
180 - 34 = 146
one angle is a right angle, angle across it is 146, 360 - 90 - 146 = 124
divide that by two to get the measures of the remaining two angles (62 degrees)
180 - 62 = x
118 = x
:
/ = .
-- :
, . , - , ,
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=y+8 and x=5y+12 *
Answer:
(7, - 1)
Step-by-step explanation:
[tex]x = y + 8.....(1) \\ \\ x = 5y + 12....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 5y + 12 = y + 8 \\ \\ 5y - y = 8 - 12 \\ \\ 4y = - 4 \\ \\ y = \frac{ - 4}{4} \\ \\ y = - 1 \\ \\ plug \: y = - 1 \: in \: equation \: (1) \\ \\ x = - 1 + 8 \\ \\ x = 7 \\ \\ (x, \: y) = (7, \: - 1)[/tex]
Answer:
(7, - 1)
Step-by-step explanation:
Solve the right triangle
Answer:
JK = 50; IJ = 25√3
Step-by-step explanation:
HAVE: sin ∠J = sin 30° = [tex]\frac{IK}{JK}[/tex]
=> [tex]\frac{IK}{JK}=\frac{25}{JK}=\frac{1}{2}=> JK = 25.2 = 50[/tex]
cos ∠J = cos 30° = [tex]\frac{IJ}{JK}[/tex]
=> [tex]\frac{IJ}{JK}=\frac{IJ}{50}=\frac{\sqrt{3} }{2} => IJ = \frac{\sqrt{3} }{2}.50=25\sqrt{3}[/tex]
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.
Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
Let x = the number of packages of pasta and y = the number of jars of pasta sauce.
One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry?
How many packages of pasta?
How many jars of pasta sauce?
Explain your reasoning.
Answer:
8 packages of pasta and 8 jar of sauce which is $32 dollars and 20lbs in total
Step-by-step explanation:
8 pack of pasta is 8$ and 8lbs
8 jars of sauce is 24$ and 12lbs
8 plus 12 is 20 which is the max of lbs Tyler can carry.
Brandon used 1 2
3 kg of plant food on his strawberry plants and used 1
4
kg for his tomato plants.
He wants to feed his strawberry plants 2 more times and his tomato plants one more time.
How much plant food will he need?
Answer:
[tex]5\dfrac{1}{2}\ \text{kg}[/tex]
Step-by-step explanation:
Plant food used on strawberry plants is
[tex]1\dfrac{2}{3}\ \text{kg}=\dfrac{5}{3}\ \text{kg}[/tex]
Plant food used on tomato plants is
[tex]\dfrac{1}{4}\ \text{kg}[/tex]
Feeding the strawberry plants two times means
[tex]\dfrac{5}{3}+2\times\dfrac{5}{3}=\dfrac{5}{3}+\dfrac{10}{3}\\ =\dfrac{15}{3}=5\ \text{kg}[/tex]
Feeding the tomato plants one more time means
[tex]\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}\\ =\dfrac{1}{2}\ \text{kg}[/tex]
The plant food he will need is [tex]5+\dfrac{1}{2}=5\dfrac{1}{2}\ \text{kg}[/tex]
PLEASE HELP ME AND EXPLAIN.
Answer:
9*8=72 which would be more than enough to cover the wall
find the x and y intercept
y=5x-13
Answer:
X int = 13/5 Y int= -13
Step-by-step explanation:
Find 0.038 as a fraction in its lowest terms
Answer:
19 / 500
Pls mark as brainliest!!!
Answer:
19/5
Step-by-step explanation:
If you're using a scientific calculator you will be able to find this answer by just simply pressing 0.038 x 100 divided by 1
Find the zero of the function.
f(x) = 4x2 – 12x + 9
The zero of the function is x=
Answer:
x= 3/2
Step-by-step explanation:
I apologize if it is wrong!
A student wrote four statements during math class. Which statement contains an error?
Answer:
C
Step-by-step explanation:
The answer is C if you multiply (a)38×18=684
(b)46×16=736 (c)54×14=756 the question is 766 miles meaning that c is the wrong answer .i hope this was helpful.