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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Solve the following inequality.
7(6 - 4n) + 4n > 138
Answer:
n <−4
42 - 28n + 4n >138
42 - 24n >138
-24n > 138 - 42
-24n >96
n <−96/24
N <−4
CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES
Answer:
90° degrees
Step-by-step explanation:
cause if you look closely inside the semi circle is a right angle and a right angle is 90°
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4
Charlie bought 2 3/4 pounds of pears for $0.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound. How much money in dollars and cents did charlie pay for the pears and grapes.
Answer
Charlie paid $5.94
Step-by-step explanation:
0.76x2 3/4=2.09
1.40x2.75=3.85
3.85+2.09=$5.94
if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] (x + 5)(x - 4)(x + 2) = [/tex]
[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]
[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
_________________________________
Compare :
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]
Thus :
[tex]a = 3[/tex]
and
[tex]b = - 40[/tex]
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The equation 2x-7=5+x has exactly one solution. True or false
Answer:
True
Step-by-step explanation:
x=5+7=12
The only solution is x=12.
PLEASE HELP
due today in 20 minutes
i will mark you brainliest
Help please thank you
i genuinely don't understand . please help me asap
Answer:
48.17
Step-by-step explanation:
Umm.. i don't really have time to explain but
A^2+B^2=C^2
36^2+32^2=48.17
A triangle has side lengths of 13, 15 and 25. Find the measure of the angle to the nearest whole degree that is across from the longest side. So find < L ?
Answer:
Answer in photo
Step-by-step explanation:
charles has 24 marbles. he has 6 more yellow marbles then blue marbles. which equation represents this senctence
Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.
Step-by-step explanation:
please help me i’ve tried so many of these and i can’t figure out how to do it
Answer:
15.4%
Step-by-step explanation:
Calculate the volume of both containers.
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
[tex]V_{A}[/tex] = π × 10² × 11 = 1100π ft³
[tex]V_{B}[/tex] = π × 7² × 19 = 931π ft³
Subtract volume of B from volume of A to find quantity left in A
quantity left in A = 1100π - 931π = 169π ft³
To calculate the percentage left in A after B has been filled
[tex]\frac{left}{full}[/tex] × 100%
= [tex]\frac{169\pi }{1100\pi }[/tex] × 100%
= [tex]\frac{169}{1100}[/tex] × 100%
= 15.4% ( to the nearest tenth )
I can't figure this out :/
Answer:
I believe it is d because when you get to negatives they are always on the left side
Step-by-step explanation:
I am doing a percent equation problem and I need help please here’s the question 20% of blank =10
Answer:
[tex]50[/tex]
Step-by-step explanation:
Let [tex]x =[/tex] blank (for convenience)
[tex]20\%x=10[/tex]
[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)
[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)
[tex]x=50[/tex]
∴ Blank = 50
Hope this helps :)
Samantha and her friends are going on a road trip that is 245 7/50 miles long. They have already driven 128 53/100. How much farther do they have to go?
Answer:
They have to drive 182, 2820 miles more.
Step-by-step explanation:
... ;)
Answer:
no :)
Step-by-step explanation:
A video game awards points each time a player finds a diamond. The players' point total increases with each additional diamond the player finds, as shown in the table below.
If n represents the number of diamonds found and p represents the total number of points, write an equation that models the points awarded for finding diamonds in this video game. Use the on-screen keyboard to type the equation in the box.
Answer:
15x-5=y
Step-by-step explanation:
The equation of the line will be written as y = 15x - 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given data is,
The number of diamonds Total number of points earned
1 10
2 25
3 40
4 55
5 70
The slope of the line will be,
Slope = ( 25 - 10 ) / 1
Slope = 15
The y-intercept of the line,
y = mx + c
y = 15x + c
10 = 15 + c
c = -5
The equation will be written as,
y = mx + c
y = 15x - 5
Therefore, the equation of the line will be written as y = 15x - 5.
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Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?
Answer:
18 per min and 0.3 per second
Step-by-step explanation:
Per minut --> 45/2.5 = 18 words per minut
Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second
Best regards
7th grade
HELP MEEEE!
due today
Answer:
A.
Step-by-step explanation: Because as you see the dot is past the 2 and is on the third line out of 4, the 4th line is the next number.
I need to find the x pls help and show work
Answer:
Start giving more points
Step-by-step explanation:
plus i needed the points
Answer:
x=143
Step-by-step explanation:
deNew image over pre-image so 52/4 would equal x/11 because those sides correspond, then cross multiply to get 572 equals 4x then divide each side by 4 to get x=143
can you guys help me please the things are
A
B
or C
Answer:
I don't really know about this sorry sorry
Answer:
✨ B
Step-by-step explanation:
✨Hope this helps✨
Which of the following represent an exponential growth function?
Answer:
[tex]y=3^x[/tex]
Step-by-step explanation:
Exponential Growth Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential growth function is expressed as:
[tex]C(t)=C_o\cdot(1+r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the (positive) growth rate, expressed in decimal
Since r is positive, 1+r is greater than 1.
From the available options, only the last two of them correspond to exponential functions according to the definition above.
Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.
The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is
[tex]\mathbf{y=3^x}[/tex]
Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?
Answer:
80%
90%
Step-by-step explanation:
BRAINLIEST PLEASE
Plz help fast and correct!!!! (I will report if answer is stupid!!!)
please help i dont want to fail
Answer: -2.2
Step-by-step explanation:
Answer:
-3/5 which is the third line between 0 and -1 if you're going back from 0.
I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?
Answer:
0,6
9,8
0,9
Step-by-step explanation:
Can someone help me pls
Answer:
1) rational
2) Irrational
3)rational
4) irrational
5) rational
Step-by-step explanation:
If it has a whole number answer and doesn't have never ending number its rational
Is SAM - DEL? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer:
Step-by-step explanation:
C
The theorem that applies is Similar SAS.
The correct option is C.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given information:
SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.
From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.
To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:
SM/ DL = 27/9 = 3
MA/LE = 15/5 = 3
Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.
Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.
The answer is (C) Similar - SAS.
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What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.
By the binomial theorem,
(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴
(1 + 2x)³ = 1 + 6x + 12x² + 8x³
In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying
• x⁴ and 1 to get x⁴;
• 4x³ and 6x to get 24x⁴;
• 6x² and 12x² to get 72x⁴; and
• 4x and 8x³ to get 32x⁴.
Add these up:
x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴
The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?
Answer:
I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)
Step-by-step explanation:
(excuse my handwriting on the ss its hard to write on a computer lol)
hope this helps :)
need help pls answer it
Answer:
1 5/6 or answer C
Step-by-step explanation:
First: Parenthesis 4/5-1/4 or 11/20x 1/2 is 11/40
Bottom: 1/2*4/5 is 2/5 - 1/4 which is 3/20
11/40 *20/3
11/6 or 1 5/6 which would be answer C.
Hope this helps!
Happy Holidays!
Answer:
C
Step-by-step explanation:
top 4/5-1/4 or 11/20x 1/2 = 11/40
bottom 1/2*4/5 is 2/5 - 1/4 = 3/20