Answers
Answer:
Perimeter = 30 in
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = ab = 12 inc = 13 inSubstitute given values into the formula and solving for a:
⇒ a² + 12² = 13²
⇒ a² + 144 = 169
⇒ a² = 25
⇒ a = 5 in
Therefore, perimeter = a + b + c
= 5 in + 12 in + 13 in
= 30 in
Final Answer:
[tex]\fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]
Step by Step explanation:
Data achieved from diagram:
The given triangle is a right angle triangle
Hypotenuse of triangle = 13 in.
Base of triangle = 12 in.
To find:
Perimeter of triangle = ?
Solution:
We need length of all three sides (Altitude) of triangle,
let's find out the measure of length of Altitude using Pythagoras theorem!
[tex]{Hypotenuse}^2 = {Base}^2 + {Altitude}^2 \\ {13}^{2} = {12}^{2} + {A}^{2} \\ {A}^{2} = 169 - 144 \\ {A}^{2} = 25 \\ {A} = \sqrt{25 } \\ \fbox{A = 5 \: in.}[/tex]
Now we have all three sides of triangle,
[tex]perimeter \: of \: triangle = Hyp. + Base + Alt. \\perimeter \: of \: triangle = 13 + 12 + 5 \\ \fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]
Thanks for joining brainly community!
Related Questions
Write [tex]\frac{2}{7}x(1.4x^2-3.5y)[/tex] as a polynomial.
Answers
Answer:
[tex]0.41x^3-1.02xy[/tex] or [tex]0.4x^3-xy[/tex]
Step-by-step explanation:
[tex]\frac{2}{7}x(1.4x^2-3.5y) < == convert\ \frac{2}{7}\ to\ a\ decimal\\\\0.29x(1.4x^2-3.5y) < ==distribute\ 0.29x\\\\0.41x^3-1.02xy[/tex]
Can also be written as: [tex]0.4x^3-xy[/tex]
Hope this helps!
help me please! THis is the last one i need hurry!!!!!!!!
Answers
Answer:
900 in^2
Step-by-step explanation:
Triangle area = ( b x h )/ 2
rectangle area = b x h
------------------------------------------
triangle:
30 * 40 / 2 = 600 in^2
rectangle:
30 * 20/2 = 300 in^2
---------------------------------------
600 + 300 = 900 in^2
Dylan has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $30.70? Round to the nearest cent.
Answers
Answer:
$6.14.
Step-by-step explanation:
$30.70×20%
there will be after the tax and discount.
Kate and Patty are both saving money to go to a Red
Sox game. Patty has $60 already and decides to put
$10 per week into her savings, while Kate doesn't have
any money to start, but commits to saving $25 every
week.
After 6 weeks, who will have more money saved?
EXPLAIN HOW YOU KNOW.
Answers
Answer:
kate will have more money
Step-by-step explanation:
cuz Kate have 25$ × 6 weeks = 150$
in the other hand , Patty have 60$ before + ( 10$ × 6 weeks ) = 60$+ 60$ = 120$
2x(5x-2)+(3x-0.5)*2=2x+3+10x-5+2x+3
Find X
(give step by step)
Answers
Answer:
x = 1.348331477 and 0.148331477
Step-by-step explanation:
TEPS USING THE QUADRATIC FORMULA2x(5x−2)+(3x−0.5)2=2x+3+10x−5+2x+3Use the distributive property to multiply 2x by 5x−2.10x2−4x+(3x−0.5)×2=2x+3+10x−5+2x+3Use the distributive property to multiply 3x−0.5 by 2.10x2−4x+6x−1=2x+3+10x−5+2x+3Combine −4x and 6x to get 2x.10x2+2x−1=2x+3+10x−5+2x+3Combine 2x and 10x to get 12x.10x2+2x−1=12x+3−5+2x+3 Subtract 5 from 3 to get −2.10x2+2x−1=12x−2+2x+3Combine 12x and 2x to get 14x.10x2+2x−1=14x−2+3Add −2 and 3 to get 1.10x2+2x−1=14x+1Subtract 14x from both sides.10x2+2x−1−14x=1Combine 2x and −14x to get −12x.10x2−12x−1=1Subtract 1 from both sides.10x2−12x−1−1=0Subtract 1 from −1 to get −2.10x2−12x−2=0This equation is in standard form: ax2+bx+c=0. Substitute 10 for a, −12 for b, and −2 for c in the quadratic formula, 2a−b±b2−4ac.x=2×10−(−12)±(−12)2−4×10(−2)Square −12.x=2×10−(−12)±144−4×10(−2)Multiply −4 times 10.x=2×10−(−12)±144−40(−2)Multiply −40 times −2.x=2×10−(−12)±144+80Add 144 to 80.x=2×10−(−12)±224Take the square root of 224.x=2×10−(−12)±414The opposite of −12 is 12.x=2×1012±414Multiply 2 times 10.x=2012±414Now solve the equation x=2012±414 when ± is plus. Add 12 to 414.x=20414+12Divide 12+414 by 20.x=514+3Now solve the equation x=2012±414 when ± is minus. Subtract 414from 12.x=2012−414Divide 12−414 by 20.x=53−14The equation is now solved.
x=514+3x=53−14
Karla’s recipe for brownies serves 10 people. She needs to feed 40 people. The ingredients for the original recipe says that she needs 1 3/4 cups of sugar. How many cups of sugar will she need to serve 40 people?
Answers
Answer:
7 cups
Step-by-step explanation:
1 3/4 x 4 = 7
Karla will need 7 cups of sugar to serve 40 people.
Write an equation in slope-intercept form that is parallel to y - 5x = 10 and passes through the point (2, -4).
Answers
Answer:
y = 5x - 14
Step-by-step explanation:
*Parallel lines have the same slopes*
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)y - 5x = 10 <== add 5x to both sides
+ 5x + 5x
y = 5x + 10
The slope of the line that is parallel to this line is 5.
We need to find the y-intercept (b) for the parallel line using (2, -4):
y = 5x + b <== substitue 2 for x and -4 for y
-4 = 5(2) + b
-4 = 10 + b <== subtract 10 from both sides to isolate b
-10 -10
-14 = b
y = 5x + b changes to y = 5x - 14
Hope this helps!
Slope:-
m=5Parallel lines have equal slope
passes through (2,-4)Equation in point slope form
y-y1=m(x-x1)y+4=5(x-2)y+4=5x-10y=5x-14Find the perimeter of composite figures
Answers
Answer: 15 ft
Step-by-step explanation:
You basically add all the sides:
3 + 3 + 3 + 3 +3 = 15 ft
And if you have to add 12 ft then the answer should be 27 ft in total.
I hope this helped!
HEL PLS ITS MY HOMEWORK AND I REALLY NEED HELP
Answers
Answer and explanation:
Take the area formula:
A = L * W
Then manipulate it to fit the context of which unknown you are finding:
Problem 1
[tex]\dfrac{36 = 4 * W}{4}[/tex]
[tex]9 = W[/tex]
So, the length of side c is 9 mm.
Problem 2
[tex]\dfrac{21 = W * 21}{21}[/tex]
[tex]1 = W[/tex]
So, the length of side a is 1 m.
Problem 3
[tex]\dfrac{49 = 7 * W}{7}[/tex]
[tex]7=W[/tex]
So, the length of side t is 7 cm.
Please help me with algebra question will mark brainliest to first person with a real answer
Answers
Answer:
367/90
Step-by-step explanation:
As [tex]4.\bar{7}=4\frac{7}{9}[/tex], this means that [tex]0.4\bar{7}=4\frac{7}{90}=\frac{367}{90}[/tex], 1/10th of 4.7 repeated.
Which equation can be used to find the nth term of the sequence, an? 5, 20, 80, 320, 1280, ...
an=4⋅5n−1
an=1.25⋅4n−1
an=5⋅4n−1
an=4⋅1.25n−1
Answers
Answer:
C.) 5 * 4^n-1
Step-by-step explanation:
Use the given method you use for finding the sequence with the terms.
Also K12 moment.
If it's wrong, please forgive me, I'm in the middle of the test as well.
I checked and I'm 99% sure this is the answer
Hope this helped despite being a little late!
what value of w makes the following equation true?
w+4 1 over 5 = 13 19 over 20
Answers
Answer:
13.15
Step-by-step explanation:
Through: (-4,-2); slope = 0
Answers
Answer:
y = -2
Step-by-step explanation:
y - y₁ = m (x - x₁)
y + 2 = 0 (x + 4)
y + 2 = 0
Final simplified equation: y = -2
Hope this helps!
What's the circumference of a circle with a diameter of 16 inches
Answers
C = 50.24 inches
[tex]\bold{EXPLANATIONS:}[/tex]
The solid below is made from cubes.
Find Its volume.
Answers
Answer:
20
Step-by-step explanation:
2x2x5
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
Answers
Answer:
1:3, 24/8=3/1
I will give brainliest if you answer please
Answers
Answer:
KN = 11
Step-by-step explanation:
In right triangle LNM, by Pythagoras theorem:
[tex]LN=\sqrt{LM^2 -MN^2} \\ \\ \implies \: LN=\sqrt{ {(100)}^{2} -(80)^2} \\ \\ \implies \: LN=\sqrt{ 10000 -6400} \\ \\ \implies \: LN=\sqrt{ 3600} \\ \\ \implies \: LN=60[/tex]
In right triangle LNK, by Pythagoras theorem:
[tex]KN = \sqrt{LK^2-LN^2}[/tex]
[tex]\implies KN = \sqrt{(61)^2-(60)^2}[/tex]
[tex]\implies KN = \sqrt{3721-3600}[/tex]
[tex]\implies KN = \sqrt{121}[/tex]
[tex]\implies\huge{\orange{ KN =11}}[/tex]
Answer:
11[tex] \: [/tex]
Step-by-step explanation:
Before, Finding the length of KN, we must have to find the length of LN. So
[tex] \: [/tex]
Here, LNM is a right angled triangle where measure of two sides are given and we are to find the measure of the third side LN(Perpendicular).
[tex] \: [/tex]
We'll find the measure of third side with the help of the Pythagorean theorem.
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base (NM) is 80The perpendicular is LNThe hypotenuse (LM) is 100.[tex] \: [/tex]
So, substituting the values in the above formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (NM) {}^{2} + (LN {)}^{2} = ( LM{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (80) {}^{2} + (LN {)}^{2} = ( 100{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = ( 100{)}^{2} - (80) {}^{2}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 10000 - 6400}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 3600}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad LN = \sqrt{3600} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad LN = \frak{60}}}} \\ \\[/tex]
Therefore,
The length of LN is 60.[tex] \\ [/tex]
As, we found the length of LN, now we can find the length of KN.
Where,
The base is KNThe perpendicular (LN) is 60.The hypotenuse (LK) is 61.So, in the right angled triangle LKN, by Pythagorean theorem we get,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + (LN {)}^{2} = ( LK{)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + {60}^{2} = ( 61{)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = ( 61{)}^{2} - {(60)}^{2}}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} =3721 - 3600}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = 121}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad KN = \sqrt{121} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad KN = \frak{11} }}} \\ \\[/tex]
Therefore,
The length of KN is 11.What are the y-intercept and the horizontal asymptote of g(x) = 2x + 7?
(0, 7) ; y = 2
(0, 9) ; y = 2
(0, 2) ; y = 7
(0, 8) ; y = 7
Answers
The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
It is to detrmine the y-intercept and the horizontal asymptote of g(x) = 2x + 7.
A line can be defined as it is the shortest distance between two points on the graph called a line. Equation of the y = mx + c, where c is the y-intercept and m is the slope of the line.
The y-intercept of g(x) = 2x + 7 is the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. (0, 7).
An asymptote of g(x) = 2x + 7 is a line that a graph approaches without touching i.e. y = 2.
Thus, The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
I forgot how to do this. Can anyone help before tomorrow? Will give brainlist :)) (Also explain the answer atleast a little)
Answers
Answer: Below
Step-by-step explanation:
Volume is based off of the formula (base × height/depth), with base being (width × length).
We know the three dimensions of the taller box, so:
7.75 × 2 × 12 = 186
The smaller box is 20% shorter. 12 × 0.8 gives us the 0% height, which is 9.6.
7.75 × 2 × 9.6 = 148.8
Since the problem is asking for the difference of the two volumes we do:
186 - 146.8 = 39.2
Our answer is 39.2
Help me please. What is (2a+8) + (4a +5)
Answers
Answer:
6a + 13
Step-by-step explanation:
2a + 4a = 6a
8 + 5 = 13
6a + 13
Answer: 6a+13
Step-by-step explanation:
2a+8+4a+5
2a+13+4a
now combine like terms:
2a+13+4a=
6a+13
A grain silo has a cylindrical shape. Its radius is 8ft, and its height is 36ft. What is the volume of the silo?
Use the value 3.14 for[tex]\pi[/tex], and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
The volume of a silo cylinder with radius of 8 feet and height of 36 feet is 7235 feet cube.
Volume of a cylinderThe volume of a cylinder can be calculated as follows;
Volume = πr²h
where
r = radiush = heightTherefore,
r = 8 ft
h = 36 ft
volume = 3.14 × 8² × 36
volume = 3.14 × 64 × 36
volume of the silo = 7234.56
Therefore, the volume of the cylindrical silo is 7235 ft³
learn more on volume here: https://brainly.com/question/27270919
please answer quickly!! what is the exact value of x and y? please leave an answer if you’re going to comment!! (i’ve posted this 3 times)
Answers
To solve this problem
⇒ need to use the special right triangle theorem
⇒ 30-60-90 triangle theorem (look at diagram attached for the property)
(we can use this theorem because the square on one of the angles indicates that the angle is 90 degrees. The other angle is indicated as 60 degrees. All the angles of a triangle should add up to 180, so the last angle is 30 degrees)Using the theorem:
the side facing opposite the 60-degree angle is equal ⇒ [tex]x\sqrt{3}[/tex][tex]x\sqrt{3} =17\sqrt{3} \\x = 17[/tex]
the side facing opposite the 90-degree angle is twice the value of x[tex]y = 2x = 2 * 17 =34[/tex]
Answers:
x = 17 and y = 34
Hope that helps!
EXPLANATION:According to the 30 60 90 rule the Y value would be double the x and the x in the longer leg would be the short leg value
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere. find the radius of the sphere
Answers
Answer:
Radius of sphere is 21 cmStep-by-step explanation:
Given:
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere.To Find:
Radius of the sphereSolution:
Volume of sphere = Volume of cubiod
↠ 4/3 πr³ = LBH
↠ 4/3 × 22/7 × r³ = 49 × 33 × 24
↠ 4/3 × 22/7 × r³ = 38808
↠ 4 × 22/7 × r³ = 38808/3
↠ r³ = 38808 × 3 × 7/4 × 22
↠ r³ = 441 × 21
↠ r³ = 9261
↠ r = 21 cm
Hence,
Radius of sphere is 21 cmAnswer:
21.00 cm to the nearest hundredth.
Step-by-step explanation:
The volume of the sphere will be equal to the volume of the cuboid.
So 4/3 π r^3 = 49*33*24 where r = radius of the sphere.
r^3 = (49*33*24 ) / 4/3 π
r^3 = 38808 / 4.18879
= 9264.728
r = ∛9264.728
= 21.0028 cm.
Write the following arithmetic series in summation notation.
7+9+11+ . . . +35
..
Answers
Answer:
[tex]S_{n}=315[/tex]
Step-by-step explanation:
[tex]a_{1}=7\\a_{2}=9\\a_{n}=35\\[/tex]
d=9-7=2
no of terms n,
[tex]n=\frac{a_{n-a_{1}} }{d} +1[/tex]
[tex]n=\frac{{35}-{7}}{2} +1[/tex]
[tex]n=15[/tex]
sum of series,
[tex]S_{n}=\frac{n}{2} (a_{1}+a_{n})\\\\S_{n}=\frac{15}{2} (7+35})\\\\S_{n}=315[/tex]
The ______________ probability of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trials of the experiment
Answers
Answer:
Empirical probability
Step-by-step explanation:
Empirical probability is data collected from experiment and real-life situation.
The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.
[tex]\Longrightarrow: \sf{P(E)=\dfrac{\text{number of times event occured}}{\text{number of trails}}[/tex]
Therefore, the correct answer is empirical probability.I hope this helps you! Let me know if my answer is wrong or not.
Each student needs 3 3/4 feet of string for an art project. The art
teacher orders string by the yard. How many yards should he order for 67
students?
Answers
Answer:
83.75 yards
Step-by-step explanation:
3.75 x 67 = 251.25ft
251.25 / 3 = 83.75yards
Tara has
cup of ice cream. How many --cup servings are in
3
4
cup of ice cream?
1
5
Answers
Answer: 3.75 Cups
3/4=_/20, to get that multiply the bottom number by each other, in doing so,you will get 15/20, now lets make 1/5= to 20, so we get 4/20 so therefore saying 4/20+4/20+4/20=12/20, so you can make 3 1/5 cups and you will have 3/20 (scoops? cups?) left of ice cream, so 3.75 cups
Step-by-step explanation: HOPE THIS HELPS U!!! LOV<3
what is the area,in the square units,of the rectangle?
Answers
Step-by-step explanation:
[tex]area = l \times b[/tex]
[tex]area = \frac{3}{7} \times \frac{2}{9} [/tex]
[tex]area = \frac{6}{64} [/tex]
[tex]area = 0.09375units ^{2} [/tex]
What is the scale factor of this dilation?
Answers
Answer:
I am not sure but I thing it is -2.
Step-by-step explanation:
Hope it helps! (Please mark brainliest if it does!)
1.6667
Step-by-step explanation:
the lengths are the same on both sides which makes the triangles equilateral
therefore the scale=5/3
=1.6667
Shaquana read 34 pages in 1 1/3 hours. At what rate, in pages per hour, did she read
Answers
Based on the given conditions, formulate:
34÷1 1/3
Find common denominator and write the numerators above common denominator:
34/3/3+1/3
Write the numerators over common denominator:
34/3+1/3
Calculate the sum or difference:
34/4/3
Divide a fraction by multiplying its reciprocal:34×3/4
Cross out the common factor:
17×3/2
Calculate the product or quotient:
51/2
get the result:
25.5 or 25 1/2
=25.5 or 25 1/2
