perimeter of the rectangle = 2 ( l + b )
2 ( x + x + 5 ) cm 2 ( 2x + 5') cm ( 4x + 10 ) cm
4x + 10 = 40
4x = 40 10 ( transpose 10 to RHS )
x = 30/4 = 7.5 ( divide both sides by 4 )
lenght of the rectangle = x + 5 = 7.5 + 5 = 12.5 cm breadth of the rectangle = x = 7.5 cmATQ
[tex]\\ \sf\longmapsto 2(x+x+5)=40[/tex]
[tex]\\ \sf\longmapsto 2(2x+5)=40[/tex]
[tex]\\ \sf\longmapsto 2x+5=20[/tex]
[tex]\\ \sf\longmapsto 2x=15[/tex]
[tex]\\ \sf\longmapsto x=7.5[/tex]
Length=12.5cmBreadth=7.5cmdivide (3x^3 + x2 – 4) by (x + 2).
Answer:
[tex](x+2)(3x^3-5x-10)[/tex]
Step-by-step explanation:
If you don't know how to divide polynomials then I can help with that too or you can just search it up
hey i am just clueless
Answer:
x = 14
y = 6
Step-by-step explanation:
*Property*
In a parallelogram:
Opposite sides are equal.
Since, the given figure is a parallelogram we can apply this property and equate:
1) 2y + 1 = 13 2) x = y + 81) 2y + 1 = 13
subtracting 1 from both sides:
=> 2y + 1 - 1 = 13 - 1
=> 2y = 12
dividing both sides by 2:
=> 2y/ 2 = 12/ 2
On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator
On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:
=> y = 62) x = y + 8
We've got the value of y from equation 1).
Substituting it here:
=> x = 6 + 8
=> x = 14Answer:
Hence, we got the values of x and y as:
[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]
How do you solve : 3x^4 - 11x^3 -x^2 + 19x + 6
You can't use long division in this equation.
Step-by-step explanation:
This is a polynomial so we can use rational roots Theorem to solve the equation.
The rational roots simply states that the roots of a polynomial, in the form of
[tex]p{x}^{n} + ax {}^{n - 1} + bx {}^{n - 2} .....r {}^{0} [/tex]
The possible roots of the polynomial are the factors of
p/r.
We say r^0 to represent the constant and p to represent the leading coeffceint.
So the rational roots states the possible roots of a polynomial is
the factors of leading coeffceint/ the factors of the constant.
In this case, the polynomial leading coeffecient is 3 and its constant is 6 so we do the factors of 3 divided by the factors of 6.
The factors of 3, are plus or minus 1 and 3. divided by factors of 6 which are plus or minus 1,2,3,6. So our possible roots are
positive or negative (1,1/2, 1/3,1/6, 3, 3/2).
Now, we see which of the following roots will that the polynomial, P will equal zero.
It seems that -1 can work so by definition, (x+1) is the a factor of the polynomial. So now we use synetheic or long division to cancel out that factor.
So our factored version of the polynomial is
[tex](x + 1)(3x {}^{3} - 14 {x}^{2} + 13x + 6)[/tex]
Now can we continue and factor the right side of the factors.
3 also works so x-3 is a factor as well so
[tex](3 {x}^{2} - 5x - 2)(x + 1)(x - 3)[/tex]
Now factor the quadratic using factoring by grouping
[tex]3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 = 3x(x - 2) + 1(x - 2) [/tex]
So our factor are
[tex](3x + 1)(x - 2)[/tex]
So in conclusion our factors are
[tex](3x + 1)(x - 2)(x + 1)(x - 3)[/tex]
And our x values are -1/3, 2, -1, and 3.
Help help help help math math math
Answer:
27 in²
Step-by-step explanation:
The area (A) is calculated as
A = πr² ( r is the radius ) , then
A = π × 3² = 3 × 9 = 27 in²
In parallelogram ABCD, the following is true: m
m
m
m
m
m
Step-by-step explanation:
pa brainlest po hope it helpPlzzzz help meeeeee plzzzzzzz
the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120
Answer:
120
Step-by-step explanation:
To find the answer, multiply 300 with 0.40
To confirm this answer, divide 120 by 0.40
A math club prints t-shirts for its members. Each shirt costs $7. Each print on the front is $2 and each print on the back is $2.50 write an equation that represents the cost of a short, C, if f represents the front print, and b represents the back print
Answer:
Step-by-step explanation:
1. 7$ for Each Shirt 2$ is for the Print $2.50 is the cost of back
1. (7x2x2.50) ---All Multiplication
2. Answer 35.00
Breakdown
$7.00 Mulltiplied by 2 which gives you $14.00
Then you multiply it by $2.50
Which Gives you $35.00
Is
13
6
A rational number?
Answer:
13/6 or 2 1/6 is a fraction and is rational number, so yes it is rational
Two fractions in the middle of 1/4 and 3/4
On a snow day, Claire created two snowmen in her backyard. Snowman A was built to a height of 29 inches and Snowman B was built to a height of 54 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 3 inches per hour and Snowman B's height decreased by 8 inches per hour. Let
A
A represent the height of Snowman A
t
t hours after sunrise and let
B
B represent the height of Snowman B
t
t hours after sunrise. Write an equation for each situation, in terms of
t
,
t, and determine the number of hours after sunrise when both snowmen have an equal height.
Answer:
29 - 3t = 54 - 8t
-29 -29
-3t = 25 - 8t
+8t +8t
5t = 25
/5 /5
t = 5
The snowmen will have an equal height after 5 hours.
What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187. 5, … /.
The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]
Given the following geometric sequence:
768, 480, 300, 187. 5To determine the common ratio for the given geometric sequence:
The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.
Mathematically, the common ratio of a geometric sequence is given by the formula:
[tex]C=\frac{T_{n+1}}{T_n}[/tex]
Substituting the given parameters into the formula, we have;
[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]
Read more: https://brainly.com/question/13162487
PLEASE HELP I BEG IMMA FAILLLLLLLLL
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what will the wingspan be?
Answer:
2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10
Hope I Helped You:)
Q7 AND Q8 solve in full steps
Answer:
Steps in the picture
Hope it helps
Convert the following from factored form to standard form.
f\left(x\right)=\left(x+5\right)\left(x-1\right)f(x)=(x+5)(x−1)
Answer:
the mmic is back still swords rund eep
Step-by-step explanation:
Find the area of the figure.
triangle with base 18 in. and height 13 in.
The area of this triangle is
is
Answer:
117 square inches
Step-by-step explanation:
234/2
Answer:
A = 117 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 18 and h = 13 , then
A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²
Which of the following best explains why tangent StartFraction 5 pi Over 6 EndFraction not-equals tangent StartFraction 5 pi Over 3 EndFraction? The angles do not have the same reference angle. Tangent is positive in the second quadrant and negative in the fourth quadrant. Tangent is negative in the second quadrant and positive in the fourth quadrant. The angles do not have the same reference angle or the same sign.
Using reference angles, it is found that the correct option is:
The angles do not have the same reference angle.Angle [tex]\frac{5\pi}{6}[/tex] is on the second quadrant, [tex]\frac{\pi}{2} < \frac{5\pi}{6} < \pi[/tex].
On the second quadrant, the tangent is negative, as the sine is positive and the cosine is negative.The reference angle is found subtracting [tex]\pi[/tex] from the angle, hence:[tex]\pi - \frac{5\pi}{6} = \frac{6\pi}{6} - \frac{5\pi}{6} = \frac{\pi}{6}[/tex]
Angle [tex]\frac{5\pi}{3}[/tex] is on the fourth quadrant, [tex]\frac{3\pi}{2} < \frac{5\pi}{3} < 2\pi[/tex].
On the second quadrant, the tangent is negative, as the sine is negative and the cosine is positive.The reference angle is found subtracting [tex]2\pi[/tex] from the angle, hence:[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]
They have different reference angles, hence:
The angles do not have the same reference angle.For more on angles, you can check https://brainly.com/question/24787111
Answer:
A
Step-by-step explanation:
A
If today is Saturday, what day will it be 70 days from now?
Answer:
If today is Saturday, then after 70 days, we will be on a Saturday again.
Step-by-step explanation:
Basically, 70 days = 10 weeks
Which means: 1 week = 7 days
We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.
Hoped this helped.
7.2 divided by 450 !!
Answer:
62.5
Step-by-step explanation:
Angle 2 is 2x+10 angle 4 is 4x+80 solve for x
Answer:
15
Step-by-step explanation:
Angle 2 is 2x+10
angle 4 is 4x+80
and from the figure we can understand that when we add these 2 equations
We get
6x+ 90= 180
6x = 180 - 90= 90
6x= 90
x = 90 ÷ 6 = 15
answer = 15
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
3:7
Step-by-step explanation:
She has 3 tennis and 7 soccer
What is 0.02349 written in standard form to 3 significant figures
Solve from right to left
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
can someone help me with this
[tex](3)\\\\17^{\tfrac 43} = \left(17^{\tfrac13\right)^4 = \left(\sqrt[3]{17}\right)^4 =\left(\sqrt[3]{17}\right)^3 \left(\sqrt[3]{17}\right) = 17\sqrt[3]{17}[/tex]
[tex](4)\\\\\text{First term, a= 4,}\\\\\text{Common difference,}~ d =13-4 = 9\\\\\text{nth term} = a+(n-1)d = 4 +(n-1)9 = 4+9n-9 = 9n-5\\\\\text{ 5000th term} = 9(5000) -5 =44995[/tex]
17. Find the 15% commission on $400 in sales.
O $75
$60
O $40
O $15
Find the measure of midsegment EF.
Answer:
29 units
Step-by-step explanation:
The midsegment of a trapezoid is the average of the top and bottom sides.
(25+33)/2 = 29
Answer:
measure of midsegment EF is 29
Step-by-step explanation:
basically just find the average of the two numbers
25+33/2 = 29
can anyone answer this?
Answer: Would you like all of them?
Step-by-step explanation:
last question on the page answer correctly or don't answer at all please because this is an annoying question
Find the area of triangle ABC. Give your answer correct to 1 decimal place. A 9 cm 8 cm 10 cm B
HELP PLEASE HAHAHA
Convert 324ten to base two
Converted using rapidtables.
What is the perimeter?
8 m
4 m
4 m
12 m
meters
Submit
HELPP
There are 17 boys and 15 girls in a math class. The teacher is selecting 5 students to represent the school on the student advisory council.
Determine the probability, to the nearest hundredth, that exactly 3 boys will be selected.