Answer: 13 triangles were used.
Step-by-step explanation:
Each triangle has 3 sides where each square has 4 sides.
Total triangles and squares = 17
Total sides they have = 64
Let x= Number of triangles , y= Number of squares
3x = sides of all triangles , 4x = Sides of all squares.
Now, [tex]x+y=17\ \ \ \ (i)[/tex]
[tex]3x+4x=64\ \ \ \ \ (ii)[/tex]
Multiply 3 on both sides of (i) , we get
[tex]3x+3y = 51\ \ \ \ (iii)[/tex]
Eliminate (ii) from (ii)
x= 13
Put this in (i), we get
[tex]13+y=17\\\\\Rightarrow\ y= 17-13=4[/tex]
Hence, 13 triangles were used.
There were 4 triangles used to frame a geometric pattern
System of EquationsTwo are more equations that shares common variables are the system of equations. System of equations can be solved by using elimination method or substitution method .
Use the given information to frame system of equations.
Assume variables for the unknown
Let x be the number of triangles used and 'y' be the number of squares used
A geometric pattern is made using 17 triangles and squares.
Sum of triangles and squares is equal to 17
[tex]x+y=17[/tex]
the triangles and squares have a total of 64 sides,
Each triangle has 3 sides and each square has 4 sides
[tex]3x+4y=64[/tex]
Solve both the equations using substitution method
[tex]x+y=17\\y=17-x[/tex]
Substitute y in second equation
[tex]3x+4y=64\\3x+4(17-x)=64\\3x+68-4x=64\\-1x+68=64\\-1x=64-68\\-1x=-4\\x=4[/tex]
Now find out y
[tex]y=17-x\\y=17-4\\y=13[/tex]
'x' is the number of triangles used
x=4, so 4 triangles were used
Learn more information about 'system of equations ' here
brainly.com/question/13729904
Who is truly worthy of Brainliest? Answer this \/\/\/\/
Answer:
Intercepts are the points where a graph touches the axes. The X-intercept is that point on the X-axis, and the Y-intercept that point on the Y-axis. In the graph on the left, the X-intercept is (4,0), and the Y-intercept is (0,2)
Find the distance between the following two points: *
(0,0) and (-4,-4)
Answer:
[tex]d = 4\sqrt{2}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(-4-0)^2+(-4-0)^2}[/tex]
[tex]d = \sqrt{(-4)^2+(-4)^2}[/tex]
[tex]d = \sqrt{16+16}[/tex]
[tex]d = \sqrt{32}[/tex]
[tex]d = 4\sqrt{2}[/tex]
(HELP ASAP,WILL MARK BRAINLIEST!!)
Choose the correct equation for this line.
a
y=1/3 x-2
b
y=1/3 x+2
c
y=3x -2
d
y=3x +6
can someone helpe me PLEASEEE??????
Slope is 3/7.
Rise / run.
Rises 3 / runs 7.
Line is positive because the line goes up from left to right.
If this helped please mark branliest
While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 1.5°. After you drive 23 miles closer to the mountain, the angle of elevation is 13°. Approximate the height of the mountain.
Answer:
0.68 miles
Step-by-step explanation:
Let's say that the height of the mountain is h
The distance between the mountain and the car, after moving 23 miles closer to the mountain, will be x (let's pose it as x for now)
tan(1.5°) = opposite/adjacent = h/23 + a
=> h = (23 + a)tan(1.5°) ---- (1)
tan(13°) = h/a
=> h = a(tan(13°)) ---- (2)
Now since h is common among the two equations, we can equate them;
[tex]\left(23+a\right)\tan \left(1.5^{\circ \:}\right)=a\left(\tan \left(13^{\circ \:}\right)\right),\\23\tan \left(1.5^{\circ \:}\right)+\tan \left(1.5^{\circ \:}\right)a=\tan \left(13^{\circ \:}\right)a,\\\\\tan \left(1.5^{\circ \:}\right)a-\tan \left(13^{\circ \:}\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\left(\tan \left(1.5^{\circ \:}\right)-\tan \left(13^{\circ \:}\right)\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\\[/tex]
[tex]a=\frac{23\tan \left(1.5^{\circ \:}\right)}{\tan \left(13^{\circ \:}\right)-\tan \left(1.5^{\circ \:}\right)} = 2.94249...[/tex]
[tex]h = 2.94249tan\left(13^{\circ }\right) = 0.67932\dots[/tex]
The height of the mountain ≈ 0.68 miles
27=3w+6
Simplify your answer as much as possible
Anyones help is needed real quick
Answer:
6
Step-by-step explanation:
7x - 2(3x + 16) = -23
simplify the expression
–2 + 7(x + 8)
Answer:
54+7x
Step-by-step explanation:
-2+7(x+8)
-2+7x+56
54+7x
Answer:
-2 + 7(x + 8)
open the bracket
-2 + 7x + 56=
-2 + 56 + 7x =
54 + 7x
At 5:00 pm Antonio turned off the oven
Answer:
Or did he?
Step-by-step explanation:
what is 30 1/3% of 3
Step-by-step explanation:
30 1/3 = 91/3
3 × 91/3% = 91/100 (0.91)
(3-0.91=2.09) < I dunno if you need to subtract it tho^^
Mrs. Wheeler went to Disney World after saving $1,200. She spent $509.00 for a 5 day ticket. Then, she spent $34.99 for Mickey ears, $72 for a Minnie backpack, and $350 in food over the 5 days. How much does she have left?
Answer:
234.01
Step-by-step explanation:
add all those together then subtract for total
MARK ME AS BRAINLIEST
FINISH THE SENTANCE!!! woah calm down Jamal....
Answer:
Don't pull out the 9 haha ha
Step-by-step explanation:
pe pe
Answer: it’s just a game.
Step-by-step explanation: Other Possible Responses: tell me why you‘re so upset. why are you so angry?
I NEED HELP ASAP. WILL GIVE BRAINLIEST!!!
Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?
–2
Negative one-half
One-half
2
Answer:
maybe -2.
Step-by-step explanation:
maybe I guess
when you do 15 * 24 how can you get the answer of 220 even though it is the wrong answer????????????
Answer:
The answer is actually 360. I hope this helped you a bit have a good day.
15*24=360
Please help! Brainiest
Answer:
x=1
Step-by-step explanation:
x=1 then y=4
Answer:
the answer is to because the other arrow is on the 2
Step-by-step explanation:
2+2=4
Rosa is driving from Los Angeles to San Francisco. Because of some heavy traffic, she covers a distance of 5 miles in 30 minutes. How many miles does Rosa travel in 48 minutes? PLS HELPPPP:)
Answer:
8 miles.
Step-by-step explanation:
Answer:
8 miles
Step-by-step explanation:do 30divided by 6 which eqauls 5 which is shown above then do the same for 48 which eqauls 8 plzz mark as brainliest
I need some help this math problem
Answer: i think it is 2/7
Step-by-step explanation:
congruent angles (picture below) please help ty
7th grade math help me plz
Answer:
between 2 an 3
Step-by-step explanation:
If Rosa buys 2 drinks for 4.78 how much would she pay if she bought 4 drinks.
Answer:
9.56
Step-by-step explanation:
4.78x2 so then your answer would be 9.56
Joseph is making kebabs. He wants each kebab to have 333 pieces of meat and 444 pieces of vegetables.
Which of the following could Joseph use to make kebabs without any leftovers?
Choose 2 answers:
Group of answer choices
2 pieces of meat and 2 pieces of vegetables
3 pieces of meat and 4 pieces of vegetables
6 pieces of meat and 8 vegetables
5 pieces of meat and 5 pieces of vegetables
4 pieces of meat and 1 piece of vegetables
Answer:
3 pieces of meat and 4 pieces of vegetables
Step-by-step explanation:
its basicly a ratio the meat is 1 lower than the vegetables.
I need answers as soon as possible please by
Answer:
Sorry need to do some thing else brb
Step-by-step explanation:
Solve the compound inequality.
-2x<-2 and x-2<8
Answer:
x > 1, x < 10
Step-by-step explanation:
Part 1:
-2x < -2
Simplify (divide by -2)
x > 1-------------
Part 2:
x - 2 < 8
Simplify (add 2 to both sides)
x < 10
Jane has $30 and is saving at the rate of 57 per week. Susan has $50 and is saving at the rate of $3 per week.
When will they have the same amount of money?
Solve the equation. Round the solution to the tenths place.
6.35t = 56.515
t =
Answer: 8.9
Step-by-step explanation:
What is the midpoint of -1.9 and 5.1 on a number line??!
Answer:
Add them and divide by 2. 5.1 + -1.9= 5.1 - 1.9, which is 3.2. 3.2 divided by 2 is 1.6. That is their midpoint on the number line(I can't plot it).
Bills paid online on the weekend are seen til the next business day - yes or no
Answer:
yes, bills paid online over the weekend would not be seen until the next business day, usually Monday.
Write an expression for the following: "the product of 3 and the sum of a number and 2
|
Answer:
3(2 + x)
Step-by-step explanation:
You have to multiply 3 by the sum of 2 and any number, or x. So if you put the expression of 2 + x in parenthesis, and 3 next to it. You'll get your answer.
Compound I... X
Notification
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mail.google....
mail.google...
mail.google...
02:58
Determine the amount of an investment if AED 300 is invested
at a rate of 3.5% interest compounded monthly for 22 years.
A. 319.85 AED
B. 647.20 AED
C. 639.45 AED
Answer:
C. 639.45 AED
Step-by-step explanation:
Principal = AED 300
Compound interest = 3.5%
Unknown:
Amount of the investment after 22yrs = ?
Solution:
Compound interest is simply interest on interest.
The formula is given as;
A = P(1 + [tex]\frac{r}{n})^{nt}[/tex]
where A is the final amount
P = initial principal
r = interest rate
n = number of years
Input the parameters and solve;
A = 300 (1 + [tex]\frac{0.035}{1} )^{22 x 1}[/tex]
A = 639.45
So the amount of investmet is AED 639.45