Here's the solution :
Side of the equilateral triangle = x Side of square = x + 10perimeter of equilateral triangle = 3 × x = 3x
perimeter of square = 4 × (x + 10)
now, according to above statement :
permission (square) = 3 × perimeter (triangle)
that is :
[tex]4(x + 10) = 3 \times 3x[/tex][tex]4x + 40 = 9x[/tex][tex]9x - 4x = 40[/tex][tex]5x = 40[/tex][tex]x = 8[/tex]therefore, side of triangle = 8 cm
perimeter (triangle) = 8 × 3 = 24 cmside of square = 8 + 10 = 18 cmperimeter of square= 18 × 4 = 72 xmAnswer:
Let the side of the equilateral triangle = x
so the side of the square = x+10
The perimeter of the triangle = 3x
and the perimeter of the square = 4(x+10)
condition : the perimeter of the square is 3 times the perimeter of the triangle.
so, 4(x+10) = 3*(3x)
Step-by-step explanation:
PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER
please mark this answer as brainlist
please help me :DDDDDDDD
Answer:
x+5 > 4
Step-by-step explanation:
x+5 > 4 can be changed to
-5 . -5
x>-1
that is what is shown
Question:
Ten students each submit one essay for competition.
In how many ways can the first, second, and third prizes be awarded?
NEED FULL EXPLANATION!!!
NO LINKS!!!
PLEASE!!!!
what is happend here haha
Answer:
720 ways
Step-by-step explanation:
First place has 10 choices. First prize is chosen. So, 9 students are left.
Second place has 9 choices.
First and second prizes are chosen. Now 8 students are left
Third place has 8 choices.
Total ways = 10 * 9 * 8 = 720 ways
The perimeters of the triangles shown are equal. Find the side lengths of each triangle.
AB =
PQ=
QR =
BC=
AC =
PR =
Answer:
3x +9 + 3x + 3x +8 = 3x + 3x + 4x + 6
9x + 17 = 10x + 6
x = 11
AB 42
BC 41
AC 33
PQ 33
QR 33
PR 50
Answer:
x = 11
Step-by-step explanation:
if the perimeters are equal then:
the perimeter of the first triangle : 3x + 9 + 3x + 3x + 8 = 9x + 17
the perimeter of the second triangle : 3x + 3x + 4x + 6 = 10x + 6 and
9x + 17 = 10x + 6 export like terms to the same side of the equation
17 - 6 = 10x - 9x
11 = x
we can find the lengths by replacing x with 11 in given expressions.
Solve for w.
–1.01 = 1.4(w + 2) − 2.41
Answer:
w=-1
Step-by-step explanation:
Algebra.
Answer:
w = - 1Step-by-step explanation:
–1.01 = 1.4(w + 2) − 2.412.41 - 1.01 = 1.4(w + 2)1.4 = 1.4(w + 2)w + 2 = 1w = 1 - 2w = - 1What number is in the hundredths place in 77.52
Answer:
That would be 2, I hope this helps you! :D
Answer:
2 is in the hundredth place
it goes like
tenth-> hundredth->thousandth
please mark me as brainliest
What is the slope of the line?
Ay
4
m =
2
-
-
x
-4
-2
2.
4
-2
-4
Answer:
1/4
Step-by-step explanation:
1. To find the slope, you can use the formula [tex]\frac{rise}{run}[/tex] to find it!
2. Rise means how many units you go up and down from point to point, and run means how far you go left or right from point to point.
3. Given the statement above, the rise would be 1, and the run would be 4.
4. Now, since slope is (rise)/(run), the slope is 1/4 because one divided by four is equal to one fourth.
MULTIPLE CHOICE QUESTION
What is the highest degree of a polynomial
that can be used as a divisor in synthetic
division?
Explanation:
Polynomials of degree 1, aka linear polynomials, are the highest allowed for the divisor when using synthetic division. If the divisor is degree 2 and larger, then you'll need to use polynomial long division instead.
An example divisor of degree 1 is something like [tex]x+5[/tex], which can be written as [tex]x^1+5[/tex]. That exponent of 1 determines the degree.
10 - 2(3p - 6)
How do I evaluate this?
Answer:
−6+22
Step-by-step explanation:
1. Distribute
10−2(3−6)
10−6+12
2. Add the numbers
10- 6+12
22-6
3. Rearrange Terms
22+6
-6+22
Each unit in the graph above is one block. How far would you have to walk from the harbor to the magic shop and then return to the harbor?
Question 3 options:
A)
5 blocks
B)
9 blocks
C)
3 blocks
D)
6 blocks
Which of these following numbers is 100 times larger than five hundred and fifty-five? (a)55.5 (b) 555 (c) 5550 (d) 55500 (e) 555000
Why
Answer:
(d)55500
Step-by-step explanation:
just multiply 555 by 100 to get 55500
Anybody? need help asap
Answer:
x = -1
Step-by-step explanation:
5x + 3 -2x = 2(x + 1) >>> Simplify by combining terms
3x + 3 = 2x + 2 >>> Subtract 2x and 3 from both sides
x = -1
Grace rides the bus to her grandmother's house each day. A one way trip is 8.12 miles. How many miles does
she travel after 5 days help on 1 and 2 please extra points
40.6 miles and $9.77
Step-by-step explanation:
[Number 1]
8.12 × 5
= 40.6 miles
[Number 2]
2.79 × 3 ½
= 2.79 × 3.5
= 9.765
≈ $ 9.77
OMG I NEED HELP BADLY RN
n which quadrant does the point (6 , -1) lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant IV
D.
Quadrant III
Answer:
C) Quadrant 4
Step-by-step explanation:
Hope this helps! Pls give brainliest!
*This problem is all about Multiplication Comparison*
How long is Pine Street?
Answer:
7
Step-by-step explanation:
Pine Street in x miles long.
Maple street is 3 times as long as Pine Street, so Maple street is 3x miles long.
Maple street is 21 miles long.
3x = 21
x = 7
Maple Street is 7 miles long.
A fair coin has a probability 0.5 of coming up heads. If you toss a fair coin twice, are you certain to get one head and one tail?
Answer:
no you cant be certain but you can.
Step-by-step explanation:
Evaluate.
8(19−6⋅2)
enter the answer in the checkbox.
Answer:
102.4
Step-by-step explanation:
8(19-6.2)
8(12.8)
102.4
Answer:
102.4
Step-by-step explanation:
I looked it up on mathaway there is no explanation
54 in. to 5ft write a ratio and fraction needs to be in lowest terms
Answer:
Step-by-step explanation:
54/5=10 4/5
These triangles are scaled copies of each other.
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
a. Triangle G and Triangle F Response area
b. Triangle G and Triangle B Response area
c. Triangle B and Triangle F Response area
d. Triangle F and Triangle H Response area
e. Triangle G and Triangle H Response area
f. Triangle H and Triangle B Response area
Answer:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
Step-by-step explanation:
The ratio of the areas is the square of the ratio of the lengths of the sides.
a. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
side in F: 10
corresponding side in G: 5
ratio of lengths of F to G = 10/5 = 2
ratio of areas of G to F: (2)^2 = 4
b. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
side in G: 5
corresponding side in B: 5/2
ratio of lengths of B to G = (5/2)/5 = 1/2
ratio of areas of B to G: (1/2)^2 = 1/4
c. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
side in B: 5/2
corresponding side in F: 10
ratio of lengths of F to B = 10/(5/2) = 4
ratio of areas of F to B: (4)^2 = 16
Do the same for the other 3 pairs of triangles.
The answers are:
d. 1/9
e. 4/9
f. 9/16
The ratio of the areas is the square of the ratio of the lengths of the sides.
Let's find the ratio of areas one by one:
A. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
Side in F= 10
Corresponding side in G= 5
The ratio of lengths of F to G = 10/5 = 2
The ratio of areas of G to F= (2)^2 = 4
B. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
Side in G= 5
Corresponding side in B= 5/2
The ratio of lengths of B to G = (5/2)/5 = 1/2
The ratio of areas of B to G: (1/2)^2 = 1/4
C. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
Side in B= 5/2
Corresponding side in F= 10
The ratio of lengths of F to B = 10/(5/2) = 4
The ratio of areas of F to B: (4)^2 = 16
D. Triangles F and H
Select a side in triangle F and the corresponding side in triangle H:
Side in F= 10
Corresponding side in H= 10/3
The ratio of lengths of H to F = (10/3)/10 = 1/3
The ratio of areas of H to F: (1/3)^2 = 1/9
E. Triangles G and H
Select a side in triangle G and the corresponding side in triangle H:
Side in G= 5
Corresponding side in H=10/3
The ratio of lengths of H to G = (10/3)/5 = 2/3
The ratio of areas of H to G: (2/3)^2 = 4/9
F. Triangles H and B
Select a side in triangle H and the corresponding side in triangle B:
Side in H=10/3
Corresponding side in B= 5/2
The ratio of lengths of B to H = (5/2)/(10/3) = 3/4
The ratio of areas of H to G: (3/4)^2 = 9/16
The final answers are:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
To learn more about the ratio of areas,
brainly.com/question/7071992
Your grandfather placed $5,000 in a trust fund for you. In 12 years, the fund will be
worth $10,000. What is the rate of return on the trust fund?
Answer:
fv/pv=(1+r)^n
10,000/5000=(1+r%)^12
2=(1+r%)^12
r= 5.95
Step-by-step explanation:
fv/pv=(1 + r)^n
10000/5000=(1 + r%)^12
2=(1 + r%)^12
r=5.95
Which of the following could be the number shown on the number line?
A. √24
B. √27
C. √20
D. √26
Answer: (A) 24
Step-by-step explanation:
please i dont know how to do this
Can someone find the slope of a line parallel to 5x+2y=6
Answer:
-5/2
Step-by-step explanation:
5x+2y=6
First, put the equation in slope-intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 5x from each side
5x-5x+2y=-5x+6
2y = -5x+6
Divide each side by 2
2y/2 = -5/2x +6/2
y = -5/2 x +3
The slope is -5/2x
Lines that are parallel have the same slope
A line has a slope of 53. Which of the following points could this line pass through?
Answer:
Since the slope of the line is reciprocal to the given slope, then the line with a slope of 5/3 passes through the points (5, 7) and (10, 10).
The formula for calculating the slope of a line is expressed as:
We need to get the points that could pass through the line
Looking at the coordinate of option D (5, 7) and (10, 10). Get the slope:
Since the slope of the line is reciprocal to the given slope, then the line with a slope of 5/3 passes through the points (5, 7) and (10, 10).
Step-by-step explanation:
Answer:
hi I'm Andrew and I will get back to your question
standard form of 1.23 * 10 to the 11th power
1. Convert to decimal notation
The exponent is 11, making it 10 to the power of 11. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 11 time(s):
[tex]1.23 -> 123000000000[/tex]7x^2-4+6x^3-4x-x^4 in standard form?
Answer:
-x^4 + 6x^3 + 7x^2 -4x -4
Step-by-step explanation:
Solve for x - 5 - 3 * + 1 = - 45
Answer:
[tex]x = \frac{41}{2} [/tex]
Step-by-step explanation:
x - 5 - 3x + 1 = -45
-2x - 4 = -45
-2x = -45 + 4
-2x = -41
x = 41 ÷ 2
x = 41/2
Step-by-step explanation:
[tex]\tt{}x - 5 - 3x + 1 = - 45[/tex]
[tex]\tt{} - 2x - 4 = - 45[/tex]
[tex]\tt{}- 2x= - 45 + 4[/tex]
[tex]\tt{} - 2x = - 41[/tex]
[tex]\tt{} x = \frac{41}{2} [/tex]
[tex]\tt{}x = 20 \frac{1}{2} [/tex]
What is 1 plus 1 in active numbers
IGNORE THE BOTTOM ONE PLEASE HELP
Answer:
see explanation
Step-by-step explanation:
∠ A and ∠ FCE are corresponding angles and are congruent , then
∠ A = 150°
∠ FCE and ∠ C are vertically opposite angles and are congruent , then
∠ C = 150°
∠ FCE and ∠ ECB are adjacent angles on a straight line and sum to 180°
∠ ECB = 180° - ∠FCE = 180° - 150° = 30°
∠ E = 180° - (30 + 45)° ← sum of angles in a triangle
∠ E = 180° - 75° = 105°
∠ CBE and ∠ D are same- side interior angles and sum to 180° , then
∠ D = 180° - 45° = 135°
A batting machine uses an automatic baseball feeder. During baseball
practice the feeder is a full. An attendant fills it with 15 baseballs so
that the feeder is now full. How many baseballs does the feeder
hold when full?
A. Write an equation to represent the problem.
The feeders in battling machine are represented in proportions and fractions.
The equation that represents the problem is: [tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]The feeder can hold 30 baseballs, when fullThe given parameters are:
[tex]\mathbf{Initial = \frac 16x}[/tex] ------ 1/6 full
[tex]\mathbf{Additional = 15}[/tex] --- baseballs added
[tex]\mathbf{Final = \frac 23x}[/tex] ---- 2/3 full
So, the equation that represents the problem is:
[tex]\mathbf{Initial + Additional = Final}[/tex]
So, we have:
[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]
The number of baseballs it can hold is calculated as follows:
[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]
Multiply through by 6
[tex]\mathbf{x + 90 = 4x}[/tex]
Collect like terms
[tex]\mathbf{4x - x = 90 }[/tex]
[tex]\mathbf{3x = 90 }[/tex]
Divide through by 3
[tex]\mathbf{x = 30 }[/tex]
Hence, the feeder can hold 30 baseballs, when full
Read more about proportions and fractions at:
https://brainly.com/question/20337104