WILL GIVE BRAINLIESt:
Given: ∆ABC, AC = 5
m∠C = 90°
m∠A = 22°
Find: Perimeter of ∆ABC
Answers
Perimeter of ΔABC is 12.41 units.
From the picture attached,
ΔABC is a right trianglem(AC) = 5 unitsm(∠C) = 90°m∠A = 22°Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] and sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
For angle A,
Adjacent side = AC = 5 units
Opposite side = BC
and Hypotenuse = AB
By substituting the values in the cosine ratio,
cos(22°) = [tex]\frac{5}{AB}[/tex]
AB = [tex]\frac{5}{\text{cos}(22^{\circ})}[/tex]
= 5.39
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(22°) = [tex]\frac{BC}{5.39}[/tex]
BC = 5.39[sin(22°)]
= 2.02
Since perimeter of the given triangle ABC = AB + BC + AC
By substituting the measures of all sides in the expression of the perimeter,
Perimeter = 5.39 + 2.02 + 5
= 12.41 units.
Therefore, perimeter of the given triangle is 12.41 units.
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Related Questions
1. Stacy's mom is baking treats for Stacy's birthday party. She has 9 eggs to
use for this purpose. A batch of cookies requires one egg and a batch of
brownies requires 2 eggs. How many of each treat can Stacy's mom
bake?
Part A: List three possible combinations of cookies and brownies Stacy's
mom could make for the party.
Part B: Write an inequality to represent the situation.
Part C: Graph the inequality and shade the area where the solutions are.
Answers
here is the graph
i learned this in math lol lol
A recipe for a batch of muffins calls for cup of sugar, cup of flour, and cup of milk. How many total cups of sugar, flour, and milk will be needed for three batches of muffins?
Answers
Answer:
9 total cups. 3 cups of sugar. 3 cups of flour, 3 cups of milk
Step-by-step explanation:
Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power is another way to write .
Answers
Question:
Use the expression to complete the statements.
[tex](0.5)^{10\\[/tex]
________ is the power .
(0.5) is the ________
A ______ is another way to write
Answer:
0.5 is the base
10 is the power
[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex] -- another way to write
Step-by-step explanation:
Given
[tex](0.5)^{10\\[/tex]
Required
Fill ion the gaps
[tex](0.5)^{10\\[/tex] is pronounced as; 0.5 raise to the power of 10
From the above statement, we can deduce the following:
0.5 is the base
10 is the power
Lastly, another way to write [tex](0.5)^{10\\[/tex]
Express 0.5 as a fraction
[tex](\frac{5}{10})^{10}[/tex]
Simplify the fraction
[tex](\frac{5/5}{10/5})^{10}[/tex]
[tex](\frac{1}{2})^{10}[/tex]
Hence:
[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex]
Please help!!! Express the function graphed on the axes below as a piecewise function
Answers
9514 1404 393
Answer:
[tex]f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.[/tex]
Step-by-step explanation:
The upper piece of the graph is defined on the interval -6 ≤ x < 2. It has a slope of -1 and a y-intercept of -1, so its equation is y = -x-1.
The lower piece of the graph is defined on the interval 2 < x < 6. It has a slope of -1/2 and would cross the y-axis at -4 if it were extended. Its equation is ...
y = -1/2x -4
The two pieces together give the function ...
[tex]f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.[/tex]
please show work
8) 3n+1 +8n2 – 8n – 7
9. given the function: f(x) =3x-7, find f(-2)
Answers
Answer:
D and A
Step-by-step explanation:
8. 1+8n^2-5n-7
8n^2-5n-6
9. -6-7
-13
Fiona can make 8 cards in 12 hour. She divides to find the number of cards she can make per hour, but she makes a mistake. Three of these reasons explain why her answer must be wrong. Which does NOT?
Answers
Answer:
2/3 card per hour
Step-by-step explanation:
The correct calculation is given below
The number of cards she can make per hour is :
12 hours = 8 cards
1 hour = x cards
Cross Multiply
12 hours × x cards = 8 cards × 1 hour
x cards = 8 cards × 1 hour/12 hours
x cards = 2/3 card
She can make 2/3 card per hour
Answer:
a
not C B D A
Step-by-step explanation:
1. (03.01) Factor completely. 10x4y2 + 4x3y – 3x2y2. (1 point) THANK YOU
Answers
Now the way you wrote it out was semi-confusing, however after looking at it for a second I believe I figured out the actual way it was intended to be written out as.
So,
10x4y^2+4x3y-3x2y^2
40xy^2+12xy-6xy^2
40xy^2-6xy^2+12xy
34xy^2+12xy
2xy(17y+6)
Hope this helps.
Answer:
x²y (10x²y + 4x - 3y)
Step-by-step explanation:
Factorise xy out first.
10[tex]x^{4}[/tex]y² + 4x³y - 3x²y² = xy (10x³y + 4x² - 3xy)
Then factorise another x out.
xy (10x³y + 4x² - 3xy) = x²y (10x²y + 4x - 3y)
I need these answers please please please I need it ASAP
Answers
Answer:
1:101
2:15
3:11
4:56
Source:trust me bro
1st correcct will get brainliest
Answers
Answer:
it s A
Step-by-step explanation:
if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten
Brianliest plz thanks
Help with the his question
Answers
Answer:
The variable is b books and the equation is gonna be 12b + 16 = 120
Step-by-step explanation:
please answer the question. Anderson deposits $700 into a savings account that pays a simple interest of 2% per year. Which of the following would be the total amount in her savings account at the end of 10 years?
Answers
Answer:
840
Step-by-step explanation:
2% of 700 is 14. Multiply 14 by 10 years, and then add that result (140) to the original amount
rewrite as difference of squares (2x+5)(2x-5)
Answers
I got u homie wherever in the world u r
i need help quick! (number 7, NOT 8!)
Answers
Answer:
(-6, 18)
Step-by-step explanation:
what is the answer to this equation
Answers
Step-by-step explanation:
Let's see
Firstly produce the line to Q such that it passes through and dives Q into two.
The interior angle of the Pentagon at the point Q=sum of its interior angle/5
The angle=540°/5=108°
That would make the exterior angle there=180°-108°=72°
Again,find the interior angle of the heptagon at the point Q=(sum of its interior angles)/7
Angle=900°/7=128.57°≈129°
That would make the exterior angle there=180°-129°=51°
Since Q was divided into the two exterior angles,we sum them up to obtain the angle value of Q
That is 51°+72°=123°
Which is the BEST estimate of the average rate of change for the function graphed, over the interval 1 sxs 3?
es)
A)
-2
B)
-3
D)
-6
Answers
Answer: -3
Step-by-step explanation: just multiply
The best estimate of the average rate of change for the function graphed over the interval 1 ≤ x ≤ 3 is 3.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
The interval given is 1 ≤ x ≤ 3.
The graph of the function is given below.
It can be clearly seen that,
The y value corresponding to x = 1 is y = f(1) = 2.
So one point on the graph is (1, 2).
The y value corresponding to x = 3 is y = f(3) = 8.
So the other point on the graph is (3, 8).
Average rate of change over 1 ≤ x ≤ 3 = [f(3) - f(1)] / [3 - 1]
= [8 - 2] / [2]
= 6/2
= 3
Hence the best estimate for the average rate of change of function over the interval 1 ≤ x ≤ 3 is 3.
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Plz help meeeeeeeeee
Answers
Answer:
Part 4
4 | a. When Peter wrote: I = 275(.8)(12), he wrote the rate of 8% as 0.80 instead of 0.08.
4 | b. The correct interest is $264.
Part 5
5 | a. Isabella multiplied 3000*0.04*6 incorrectly, she probably forgot that she multiplied 3000 into the expression.
5 | b. The correct interest is $720.
WILL NAME BRAINLEST ONGGG
Answers
Answer:
yes
Step-by-step explanation:
because they are all faced up and not touching each other
Solve for x.
14x + 18 + x = −112(x + 36) + 13
A
x = −6
B
x = −3
C
x = 3
D
x = 6
Answers
Answer:
x = -4037/127
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Step-by-step explanation:
Step 1: Define
14x + 18 + x = -112(x + 36) + 13
Step 2: Solve for x
Distribute -112: 14x + 18 + x = -112x - 4032 + 13Combine like terms: 15x + 18 = -112x - 4019Add 112x on both sides; 127x + 18 = -4019Isolate x term: 127x = -4037Isolate x: x = -4037/127Answer:
The correct answer is a.) x=-6
Step-by-step explanation:
SCHOOL LUNCH In 2015, Ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to
2017? Plz help asap plz
Answers
Explanation:I took the test
The rate of change from 2015 to 2017 is -$250 per year.
Given that,
In 2015, Ed spent $800In 2017, Ed spent $300We need to find the rate of change.According to the scenario, computation of the given data are as follows,
Total change = $300 - $800
= -$500
Total years from 2015 to 2017 = 2 years
So rate of change = -$500 [tex]\div[/tex] 2
= - $250
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Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2
Answers
Answer:
Y=(1/2)x + 3
Step-by-step explanation:
The equation of the line is y = (1/2)x + 3.
We have,
The equation of a line is written as:
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
From the line,
We have the following coordinates:
(2, 4) and (4, 5)
Now,
Slope.
m = (5 - 4) / (4 - 2) = 1/2
And,
(2, 4) = (x, y)
Substituting.
y = mx + c
4 = (1/2) x 2 + c
4 = 1 + c
c = 4 - 1
c = 3
Now,
y = (1/2)x + 3
Thus,
The equation of the line is y = (1/2)x + 3.
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How do I find x in these equations
Answers
Answers:
Problem 9) x = 1Problem 10) x = 3Problem 11) x = 12Problem 12) x = 12==============================================
Explanation:
For problems 9 through 12, we'll use the same set of steps. Recall that any parallelogram has the property that the adjacent angles are supplementary. This means close by angles add to 180. Each of the four diagrams show pairs of adjacent angles.
------------------
In problem 9, we have the following steps
(79x-1) + (102) = 180
79x + 101 = 180
79x = 180-101
79x = 79
x = 79/79
x = 1
------------------
Problem 10 is the same idea
(85) + (30x+5) = 180
30x+90 = 180
30x = 180-90
30x = 90
x = 90/30
x = 3
------------------
Problem 11
(55)+(9x+17) = 180
9x+72 = 180
9x = 180-72
9x = 108
x = 108/9
x = 12
------------------
Problem 12
(3x+12)+(132) = 180
3x+144 = 180
3x = 180-144
3x = 36
x = 36/3
x = 12
Answer:
9. X = 1
10. X = 3
11. X = 12
12. X = 12
Step-by-step explanation:
9.
1) 79x - 1 + 102 = 180
2) 79x + 101 = 180
3) Subtract 101 from both sides
4) 79x = 79
5) x = 1
10.
1) 85 + 30x + 5 = 180
2) 30x + 90 = 180
3) Subtract 90 from both sides
4) 30x = 90
5) x = 3
11.
1) 55 + 9x + 17 = 180
2) 9x + 72 = 180
3) Subtract 72 from both sides
3) 9x = 108
4) X = 12
12.
1) 3x + 12 + 132 = 180
2) 3x + 144 = 180
3) Subtract 144 from both sides
4) 3x = 36
5) x = 12
All answers have been checked by plugging the X back into the equation.
Evaluate the expression when a=3
2a=
Answers
Answer:
6 is ur answer hope it help u
lol :)
☃️✌
Merry christmas~
Will mark brainliest who ever answers first !!!
Please help
Answers
I believe the answer is x=-2
Find the sum. (w+8) + 2(w +9)
Answers
Final answer: 3w + 17
what is the value of X with f (x) =4
Answers
Answer:
I can find all the x-values in the domain of the function f(x)=4:
Domain = (−∞, ∞), {x | x∈R}
Here’s the range if you need it:
Range: {4}
Hope this helps! :)
The answer is Range: {4} or, x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
Here, we have,
f (x) =4
now,
we can find all the x-values in the domain of the function f(x)=4:
Domain = (−∞, ∞), {x | x∈R}
Here’s the range if you need it:
Range: {4}
There are x’s in the equation.
It’s actually all numbers are x’s because anything you put into the function f(x)=4, y will always equal 4.
So the value of x in f(x)=4 is all numbers.
To be more specific, all real numbers.
That’s why I put (−∞, ∞), {x | x∈R} because x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.
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Anna can buy 3 sweatshirts for a total of $45.00. How much would it cost if she were to buy 5 sweatshirts at the same price. a.$15 b.$45 c.$60 d.$75 ?
Answers
Please help me with this! I will appreciate the help :)
Answers
Answer:
D
Step-by-step explanation:
I'm pretty sure it's D
Jake has 3 1/2 hours before bedtime. He must spend 2 hours doing homework. The rest of his time will be spent doing puzzles. It takes jake 1/2 hour to complete each puzzle. Which equation models the number of puzzles, p, jake can complete before bedtime?
Answers
Explanation: p is number of puzzles
Answer:
3 1/2 puzzles
Step-by-step explanation:
Help me pls ASAP thank you
Answers
Answer:
3rd option
Step-by-step explanation:
The input(x) does not repeat
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces? 1280 plus 16 p equals 32 q 1280 plus 32 q equals 16 p 32 q minus 16 p equals 1280 16 p plus 32 q equals 1280
Answers
Answer:
16 p plus 32 q equals 1280
16p + 32q = 1,280
Step-by-step explanation:
A pint = 16 ounces
A quart = 32 ounces
p = number of pints he canned
q = number of quarts he canned
if Chin canned a total of 1,280 ounces?
Total ounces canned = 1,280
Equation:
p × 16 ounces + q × 32 ounces = 1,280
16p + 32q = 1,280
The options:
1280 plus 16 p equals 32 q
1,280 + 16p = 32q
1280 plus 32 q equals 16 p
1,280 + 32q = 16p
32 q minus 16 p equals 1280
32q - 16p = 1,280
16 p plus 32 q equals 1280
16p + 32q = 1,280
The correct answer is
16 p plus 32 q equals 1280
16p + 32q = 1,280
Answer:
16p+32q=1280
Step-by-step explanation:
edge