Answer:
The value of [tex]x = \frac{1}{6}[/tex]
The length of the rectangle [tex]= \frac{3}{2}[/tex] cm
The width of the rectangle = [tex]\frac{16}{3}[/tex] cm
Step-by-step explanation:
Step(i):-
Given that area of the rectangle = 8 cm²
Length of the rectangle (l) = 3x+1
width of the rectangle (w) = 2x+5
The area of the rectangle = length × width
Given that area of the rectangle = 8 cm²
Step(ii):-
Now
(3x+1) ( 2x+5) = 8
⇒ 3x(2x+5) +1(2x+5) =8
6 x² + 15x + 2x +5 =8
⇒ 6 x² + 17x -3 =0
⇒ 6 x² + 18x -x -3 =0
⇒ 6 x ( x+3) -1(x+3) =0
⇒ 6x -1 =0 and x +3 =0
[tex]6x = 1[/tex] and x =-3
[tex]x = \frac{1}{6}[/tex]
The length of the rectangle
[tex]= 3 (\frac{1}{6} ) +1 \\= \frac{3}{2}[/tex]
The width of the rectangle
[tex]= 2 (\frac{1}{6} ) +5[/tex]
= [tex]\frac{16}{3}[/tex]
-4y+6=-3y+12 help pls
Step-by-step explanation:
because
6-12=-3y+4y
y=-6
The lowest temperature on Mars can reach - 140 degrees Celsius while the highest temperature can be 20 degrees Celsius. and use it to calculate the difference between the highest and the lowest temperature on Mars
Answer:
120
Step-by-step explanation:
-140 + 20 = 120
The probability that Brian wins a raffle is given by the expression n n + 2 . Write down an expression, in the form of a combined single fraction, for the probability that Brian does not win.
Answer:
[tex]\frac{2}{n+2}[/tex]
Step-by-step explanation:
Given
Let the total probability be 1
Probability that Brian wins a raffle = n/n+2
Probability that Brian does not win a raffle = 1 - Probability that Brian wins a raffle
Probability that Brian does not win a raffle = 1 - (n/n+2)
Probability that Brian does not win a raffle = [tex]\frac{n+2-n}{n+2}[/tex]
Probability that Brian does not win a raffle = [tex]\frac{2}{n+2}[/tex]
Hence required fraction is [tex]\frac{2}{n+2}[/tex]
[tex]f(x)= \frac{X^2-x-12} {5x^2+4x}[/tex]
Find all x-intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of x-intercepts.
Answer:
(- 3, 0 ), (4, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0
[tex]\frac{x^2-x-12}{5x^2+ 4x}[/tex] = 0
The denominator cannot equal zero as this would make f(x) undefined.
Equate the numerator to zero and solve for x
x² - x - 12 = 0 ← in standard form
(x - 4)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
x- intercepts are (- 3, 0 ) and (4, 0 )
Nadia thinks of a number.
She finds the square root and then divides by 5.
Her answer is 20.
What number is she thinking of?
let the num be a
/a÷5=20
/a=20×5
/a =100
square root of 100 is 10
so the number is 10
The number that she have to think of should be considered as the 10 when her answer is 20.
Calculation of the number:Since here we assume the number be a
And, now she have to determine the square root and then divide it by 5
So, it can be like
[tex]a\div 5=20\\\\a=20\times 5[/tex]
a =100
Now the square root of 100 should be 10
hence, a = 10
Therefore, The number that she have to think of should be considered as the 10 when her answer is 20.
Learn more about number here: https://brainly.com/question/24309536
Two triangles are similar. The smaller triangle has side lengths 10, 20, and 15 units. The larger triangle's longest side is 52 units. What is the perimeter of the larger triangle?
Answer:
117 units
Step-by-step explanation:
if you use the ratio of the two longest sides then you can find all side lengths
[tex]\frac{52}{20}[/tex] = [tex]\frac{x}{10}[/tex]; x = half of 52, or 26
[tex]\frac{52}{20}[/tex] = [tex]\frac{x}{15}[/tex]; 20x = 52 · 15
20x = 780
x = 39
add to get perimeter: 52 + 26 + 39 = 117 units
Perimeter of the larger triangle is 117 units
Given
Two triangles are similar. The smaller triangle has side lengths 10, 20, and 15 units.
When the triangles are similar then the sides are in proportion
the longest side of the smaller triangle is 20 units
The larger triangle's longest side is 52 units.
Lets find out the unknown sides of largest triangle
Let x and y be the unknown sides . Make a proportion and solve for x and y
[tex]\frac{52}{20}=\frac{x}{10} \\x=\frac{52}{20} \codt 10\\x=26\\\\\\\frac{52}{20}=\frac{y}{15}\\y=\frac{52}{20} \codt 15\\y=39[/tex]
The unknown sides of largest triangle is 26 and 39 units
To find out the perimeter add all the sides of largest triangle
Perimeter =[tex]26+39+52=117[/tex]
Perimeter of the larger triangle is 117 units
Learn more :brainly.com/question/20602973
Please help! I am so confused on this, I've probably been stuck on it for at least an hour.
9514 1404 393
Answer:
see attached for the drawing
slope = -1/2
Step-by-step explanation:
For the rise of -1 and the run of 2, the slope is ...
m = rise/run = -1/2 . . . . slope in simplest form
__
Additional comments
It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.
On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.
We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.
Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.
This equation shows how the total number of quizzes Angie has ever taken in high school depends on the number of weeks she has attended school this quarter.
q = w + 3
The variable w represents the number of weeks she has attended school this quarter, and the variable q represents the total number of quizzes she has ever taken in high school. How many weeks of school will Angie have to attend this quarter before she will have taken a total of 12 quizzes?
Answer:
9 weeks
Step-by-step explanation:
Knowing that the "q" is the total number of quizzes, you can set the equation equal to 12, and solve for w.
12 = w + 3 Subtract 3 both sides
9 = w
joan needs $60 for a class trip. She has $32. She can earn $4 an hour mowing lawns. How many hours must Joan to have the money she needs?
Joan has 32$. And makes 4$ every hour of mowing lawns.
60-32=28.
So what we will do to solve this problem is multiply 7 by 4.
7x4= 28.
32+28=60.
This means that Joan needs to work 7 hours in total to earn $28.
What is the slope to this graph?
1. What is the sum of the measures of the interior angles of a 27-gon? (1 point)
Answer:
4500
Step-by-step explanation:
The formula is (n-2) * 180 where n is the number of sides
25 * 180
4500
I hope this helped, please give brainliest if this is correct! Thank you!
waht is x-500=7 is x equals to 240
which is the best estimate for the percent equivalent to 3/8
Answer:
D. 38%
Step-by-step explanation:
3/8 as a percentage is 37.5% and that is rounded to 38%! :) 37% is close but it is not rounded making it not the best estimate, therefore it is not correct.
Answer:
you are correct
Step-by-step explanation:
A 14-meter ladder leans against a building forming a 30° angle with the building. Exactly how
high is the ladder on the building in meters? Round to the nearest hundredth (2 digits after the
decimal).
Answer: 12.12 m
Step-by-step explanation:
Given
length of ladder L=14 m
the ladder makes an angle of [tex]\theta=30^{\circ}[/tex] with the building
With the help of a diagram, we can write
[tex]\cos \theta=\frac{\text{h}}{\text{L}}[/tex]
[tex]\cos 30^{\circ}=\frac{h}{14}[/tex]
[tex]h=14\cos 30^{\circ}[/tex]
[tex]h=12.12\ m[/tex]
Help please will mark brainliest answer
Answer:
47 degrees
Step-by-step explanation:
Answer:
B. 47 degrees
Step-by-step explanation:
/_wxy = 56
/_xyw = 68
/_xwy = 180 - (56 + 68) = 56
[interior angles of a triangle =180]
/_wzv = 77
/_vwz = 56
[/_xwy = /_ vwz]
/_zvw = 180 - (77 + 56) = 47
Heelp 2 easy question Math
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
Expand the left side and solve the resulting 2-step linear equation.
x^2 -(4 -4x +x^2) = 8
x^2 -4 +4x -x^2 = 8 . . . . . eliminate parentheses
-4 +4x = 8 . . . . . . . . . . . . . collect terms
-1 +x = 2 . . . . . . divide by 4
x = 3 . . . . . . . . . add 1
v*2 = u*2+ 2as
y = 35.2 correct to 1 decimal place
a = 9.8 correct to 1 decimal place
s = 60.35 correct to 2 decimal places
Work out the upper bound for u.
Give your answer to 3 significant figures.
Answer:
212m/s
Step-by-step explanation:
change of subject formula v²=u²+2as
step 1: u²=√v/2as
=v/as
using the figures to adentify the letters
v=35.2
a=9.8
s=60.35
35.2/9.8x60.35
=2124.32
in three (3)significant figures
212 unit m/s
Helppp timeee!!! Plsss
Answers:
Problem A: 26.34
Problem B: 90.537
Problem C: 309.02
Problem D: 170.084
does anyone know the answers to 1 and 2?? there’s only 2 options and you can see them on each question
Answer:
1. 5
2. 5
Step-by-step explanation:
someone help me please and thank you
Find x
Tan(x) = 1 - (Sqroot2)
Answer:
16.32495 degrees
Step-by-step explanation:
1- sqrt/2 = (2-sqrt2)/2
x = arctan((2-sqrt2)/2) = 16.32495 degrees
The side included by A and ARB is
Given that f(x) = 3x – 2
and g(x) = 2x,
evaluate f(g(-1))
254356547654566556688754678
Bdhxhdjjd helpppll & I’ll give you a star +15 points
Mike, a Salvation Army bell ringer, has 20% as many quarters as nickels in his cup. If Mike has $6.00 in quarters and nickels, how many nickels does he have?
If If Mike has $6.00 in quarters and nickels, then the number of nickels Make have are 60.
Let's assume that the number of nickels in Mike's cup is "N." Since Mike has 20% as many quarters as nickels, the number of quarters can be expressed as 0.20N.
Now, we know that the total value of the quarters and nickels is $6.00. The value of each nickel is $0.05, and the value of each quarter is $0.25.
So, we can set up the equation:
0.05N + 0.25(0.20N) = 6.00
Now, let's solve for N:
0.05N + 0.05N = 6.00
0.10N = 6.00
N = 6.00 / 0.10
N = 60
So, Mike has 60 nickels in his cup.
To learn more on Equation:
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a new energy drink advertise 182 calories for 6 ounces how many calories are in 21 ounces of the drink? There are ____ calories in the 21 ounce drink
Answer:
636.9 calories = 21 ounces
Step-by-step explanation:
182 calories= 6 ounces
30.3 calories= 1 ounces
636.9 calories= 21 ounces
Solve the inequality and graph the solution on the line provided.
-7x + 8< -6
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-7x+8<-6 Equation/Question
Step 2
-7x+8<-6 Simplify
-7x+8<-6
Step 3
-7x+8<-6 Subtract 8
-7x<-14
Step 4
-7x<-14 Divide sides by -7
answer
x>2
Hope this helps
help pleaseeeeeeeeeeeeeeeeeeeeeee
hurry
Answer:
4/11
Step-by-step explanation:
Brainiest ?
Select the correct answer. y - 6 = 4( x - 4) Which of the following shows a graph of the equation above?
Answer:
One of the points will be at (0,-10)
One of the points will be at (5/2,0)
The slope is 4
Step-by-step explanation:
Just look at a graph that has the points close to the ones at the top. Good luck, and have a nice day.
From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far is the ship from the base of the to the nearest foot?
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot