the width of a rectangle is 1/4 it’s length. the perimeter of the rectangle is 600ft. what is the length, in feet, of the rectangle?
Answer:
let length be l and breadth 1/4×l
perimeter of the rectangle =600ft
2(l+1/4×l)=600ft
(4l+l)/4=600/2
5l=300×4
l=1200/5=240ft
Step-by-step explanation:
240ft is the length of a rectangular.
What is the value of X.
Answer:
x=5.25 or x=5 1/4
Step-by-step explanation:
These two angles are the same because they are vertical angles. We can write an equation to express this.
x+16=4x-5
Then solve.
x+16=4x-5
-x -x
16=4x-5
+5 +5
4x=21
x=5.25 or 5 1/4
Match these together
1 similar figure
2 congruent
3 corresponding sides
4 corresponding angles
a. angles that have the same measure are _______.
b. sides in the same relative position. In similar figures they are proportional.
c. Figures with the same shape but no necessarily the same size
d. angles in the same relative position. in similar figures they are congruent
Combine like terms 3x^2 + 4x^3 + 6x^2
Answer:
3x^2+6x^2= 9x^2
9x^2+4x^2
Step-by-step explanation:
The sum of three consecutive numbers is 405. What is the
3rd numbers
Answer:
136
Step-by-step explanation:
Let the three consecutive numbers be a, a + 1, a + 2
Therefore,
a + a + 1 + a + 2 = 405
3a + 3 = 405
3a = 405 - 3
3a = 402
a = 402/3
a = 134
Third number = a + 2 = 134 + 2 = 136
integers are positive and negative whole numbers, they do not include positive and negative fractions or decimals?
true or false? help pleasee
In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.
Answer:
Step-by-step explanation:
I = 180-152-7 = 21°
Law of Sines:
g = h·sinG/sinH ≅ 38.5 cm
i = h·sinI/sinH = 29.4 cm
Use Heron's Formula to calculate the area from the lengths of the sides.
semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm
area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²
HELP PLEASE!!
100 POINTS!!
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
We are given:
[tex]\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}[/tex]
First, by the quotient property:
[tex]w^{(-x+4)-(-3)}=w^{2x+1}[/tex]
Since they both have the same base, their exponents must be equivalent:
[tex](-x+4)-(-3)=2x+1[/tex]
Solve for x. Simplify:
[tex]-x+7=2x+1[/tex]
Therefore:
[tex]3x=6\Rightarrow x=2[/tex]
Answer:
x=2
Step-by-step explanation:
:]
3. Five more than a number is below 17. Use n
for the number.
Answer:
n + 5 = below 17
Step-by-step explanation:
Answer:
n+5<7
Step-by-step explanation:
n+5<7
This is just what I think the problem is asking. Since it asks for 5 more than a number(it doesn't specify what number), then it doesn't matter what number it is. It didn't say that the number is 17, which means that the equation is probably an unequality sentence.
can you please help me with this?
A) 29
B) 15
C) 45
D) 8
Answer:
A) 29
Step-by-step explanation:
Step 1: Find angle G
Since Sin(θ) = Opposite over Hypotenuse:
[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ
θ = 33.896°
Now repeat for just the smaller triangle:
[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]
given f(x)=3x-5, find f(x+2)
Answer:
Step-by-step explanation:
Whenever a problem asks for f(x+n) or really anything, you just plug it into the OG function
f(x+2) = 3(x+2) - 5
= 3x + 6 - 5
=3x + 1
What is the image of (-10,-6) after dilation by a scale factor of 1/2 centered at the origin?
The coordinate of resulting image after dilation is (-5, -3)
Dilation and scale factorsGiven the coordinate of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.
Image = (1/2(-10), 1/2(-6))Image = (-5, -3)From the calculation above, you can see that the coordinate of resulting image after dilation is (-5, -3)
learn more on dilation here: https://brainly.com/question/3457976
sorry i answerd the wrong question.
the verified answer is correct
5-3Find the lcd between 1/6 and 2/9. Show your work.
Who was the first prince of Russia to be crowned as a czar
Look at the triangles shown below.
z
2
6
E
А
3 D
Which statement is true?
(Ity)
O SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2 6
(aty)
SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2
9 3
o SinceAAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
6 3
o Since AAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
NOH OH
T
Answer:c
Step-by-step explanation:
The statement which is true for the given expression triangle is, 9/(x + y) = 3/x. So option c is correct.
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔAEC
one segment BD which is intersecting sides AC & AE
ΔAEC has one similar triangle inside, which is ΔADB
Triangle ΔAEC and ΔADB similar,
So, we can say ΔAEC ≈ ΔADB
For the given similar triangles,
we can use angle-angle similarity property,
so, AE/AC = AD/AB
⇒ (3+6)/(x + y) = 3/x
⇒9/(x + y) = 3/x
Hence, the Statement C is correct
To know more about properties of triangles check:
https://brainly.com/question/8476788
#SPJ6
Complete the tables of values?
Plz help I’m so stuck on this
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81
What is the largest of three consecutive odd integers whose sum is 105.
Help me with this. 30 points. Don't put bad answer please.
Answer:
The answer is A
Step-by-step explanation:
No 30 points put I ranked up
Thx
The perimeter of the square is 36. What is the length of the diagonal, x? HELPNPLZ FOR THE LOVE OF GOD
Answer:
D. [tex] 9 \sqrt{2} [/tex]
Step-by-step explanation:
Side length of square = Perimeter/4 = 36/4 = 9
Length of diagonal (x)
[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]
50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP!
LOOK AT PICTURE
Answer:
Diagram 2, 12 foul balls
Step-by-step explanation:
12/3=4
12-4=8
The slope through (3, 5) and (1. y) is 3. Find y.
Really need this answer!
Step-by-step explanation:
y2 - y1 / x2 - x1
2 = 5 - y / (3 - 1)
4 = 5 - y
y = 1
So the line with slope 2 passes through the points (1,1) and (3,5).
Hope this helps!
help, i need you to find the area
Answer:
98
Step-by-step explanation:
Formula Base * Height
7*14=98
Answer:
77 inches
Step-by-step explanation:
The formula for area of a trapezoid is [tex]\frac{b_{1} + b_{2}}{2} h[/tex]. In this case, first add base 1 (8) + base 2 (14) to get 22. Now divide 22/2 to get 11. Now multiply 11 by the height (7), to get 77 in.
Hope it helps!
In a shop, a TV has a normal price of £500
The shop has a sale.
On Monday, the normal price of the TV is reduced by 1/10 to give the sale price.
On Tuesday, the sale price of the TV is reduced by 20%
Chris wants to buy the TV.
He has £400 to spend on the TV.
Does Chris have enough money to buy the TV on Tuesday?
Answer:
400> 360
Step-by-step explanation:
1/10 X 500 = 50
500 - 50 = 450
10% = 450/ 10 = 45
20% = 45 x 2 = 90
450 - 90 = 360
Chris does have enough 400> 360
in which table is y a linear near function of x will mark brainest
possibly c, I'm not that good with math
pls give brainliest
BRAINLIEST Write an equation that represents the line
Use exact numbers
Answer: Steep. Its 50% steep.
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
Round your answer to the nearest hundredth (second) decimal place.
The tip was $7.77
I hope this helped! please mark brainliest and vote 5 stars >:)
Answer:about 8 dollars
Step-by-step explanation:
Words
a. Divide the difference
between 1,200 and 700 by 5
Answer:
100
Step-by-step explanation:
1,200 - 700 = 500
500/5 = 100
Btw, uan got to, but I would really appreciate it if u marked me brainliest cuz I need one more nd I tried
4. The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
O4p2 - 2
25p2 + 1
25p - 10p - 1
25p2 - 1
Answer:
D. 25p² - 1
Step-by-step explanation:
Each side length of a square = 5p
Length of rectangle = 5p + 1
Width of the rectangle = 5p - 1
Area of rectangle = Length × Width
Area of rectangle = (5p + 1)(5p - 1)
= 5p(5p - 1) +1(5p - 1) (distributive property)
= 25p² - 5p + 5p - 1
Area = 25p² - 1
rewrite 4.4.6.4.4.6 using exponents
Answer:
[tex]4^{4}[/tex]×[tex]6^{2}[/tex]
Step-by-step explanation:
There is 2 of the same number 6 and there is 4 of the number 4
I hope this helps
A group of students organized a car wash to raise money for a local charity. In 3 hours, they washed 12 cars. If the students keep washing cars at the same rate, how many cars did they wash in eight hours?
Answer:
32 cars
Step-by-step explanation:
3 hours = 12 cars
3/3 = 1
12/3 = 4
1 hour = 4 cars
x8 x8
8 hours = 32 cars