Answer:
The wide of the rectangle = 42 inches
The length of the rectangle = 43 inches
Step-by-step explanation:
Step(i):-
Given that the length of the rectangle = 10x-7
Given that the width of the rectangle = 6x +12
The perimeter of the rectangle = 2(length + width)
Given that the perimeter of the rectangle = 170
Step(ii):-
2(length + width) = 170
length + width = 85
10x-7 +6x +12 =85
16x +5 = 85
16x = 85-5 = 80
x = [tex]\frac{80}{16}[/tex]
x = 5
Final answer:-
The length of the rectangle = 10(5)-7 = 50-7 = 43
The wide of the rectangle = 6x +12 = 6(5) + 12 = 30+12 =42
The perimeter is the sum of its all sides. The rectangle is 42 inches wide.
What is the perimeter of the rectangle?The perimeter is the sum of its all sides. The perimeter of the rectangle is twice the sum of its length and its width.
[tex]\rm \text{Perimeter of rectanle}=2(Length +Breadth)[/tex]
As it is given to us that the length of the rectangle is (10x-7), while the width of the rectangle is (6x+12). Also, the perimeter of the rectangle is 170 inches. Therefore, using the formula of the perimeter of the rectangle we will get,
[tex]\rm Perimeter=2(Length +Breadth)\\\\170=2[(10x-7)+(6x+12)]\\\\170=2{10x-7+6x+12}\\\\170=2(16x+5)\\\\170=32x+10\\\\32x=160\\\\x=\dfrac{160}{32} = 5[/tex]
Now, substitute the value of x,
The width of the rectangle = 6x + 12 = 6(5)+12 = 30+12 = 42 inches.
Thus, the width of the rectangle is 42 inches.
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It took 5.5 hours to drive 154 miles. What was the average rate of speed?
Answer:
The average speed would be about 28 miles per hour.
Step-by-step explanation:
154 divided by 5.5 is 28.
x^3 - x^2 + 5x – 5 = 0
Answer:
The final solution is x = i√5, − i√5
Step-by-step explanation:
(x−1)(x2+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x−1=0
x^2+5=0
Set the first factor equal to 0 and solve.
x = 1
Set the next factor equal to 0 and solve.
The final solution is all the values that make (x−1)(x2+5)=0 true.
So, final solution is x = i√5, − i√5
Helppppppppppppppppp plzzzzzzzzzzzzzzzzzzzzzz
Answer:
15 ×6 ÷2
mmmmaaaaaattttthhhh
Answer:
90
Step-by-step explanation:
Just multiply the 15 and the 6
you deposit $2,750 in a savings account. you can earn 25% interest each year. how much money will you have in your account after 4 years?
Answer:
5,500
Step-by-step explanation:
25% of 2,750 is 687.5
687.5 times 4 is 2,750
2,750 times 2 is 5,500
so you would have $5,500 in total in your account in 4 years
what is the square root of 149 rounded to the nearest hundredth?
149 rounded to the nearest hundredth is 12.2
Solve: Square root of 149 rounded to the nearest hundredth's.
Solution:
The square root of 149 cannot be simplified. √149 is already in its simplest radical form.
The square root of 149 is 12.2065556157
Rounding that number to the nearest tenth is equals to 12.2
Therefore, 149 rounded to the nearest hundredth is 12.2
The slope of the linear model is 1.5. What does this
mean in terms of the maximum noise level and the
number of people?
Answer:
Noise level increase by 1.5 per unit increase in number of persons
Step-by-step explanation:
The slope, m of a linear model is the value which represents the unit change in the dependent variable due to a unit chahe in the independent dependent.
The maximum noise in decibel is the dependent variable while the number of persons is the independent variable. Hence, the Coefficient of the independent vatiabkw is the slope and gives the rate of change in the dependent variable per unit Change in the independent variable.
DEF is dilated using a scale factor of 1/2.
What is the length of D'E??
A bacteria is tripling every 10 days. If there is a 4 bacteria in a sample, how long with it take to reach 1 million bacteria?
Increase 60 by 25%.
Answer:
75
Step-by-step explanation:
25% * 60 = 15
60 + 15 = 75
Answer:
the answer is 75
Step-by-step explanation:
i found out that that 25% of 60 was 15 because thats what i get when i divide it by 4. so then i added 15 ot 60 and it gave me 75
In RTS s=93 inches, angle s=123 degrees and angle t= 28 degrees. Find the length of r, to the nearest 10th of an inch
Answer:
Step-by-step explanation:
In RTS s=93 inches, angle s=123 degrees and angle t= 28 degrees. Find the length of r, to the nearest 10th of an inch
ten times the smallest of three consecutive integers is twenty two more than three times the sum of the integers. find the integers
Answer:
31, 32 and 33
Step-by-step explanation:
Mark these consecutive integers as (n-1), n and (n+1)
(n-1) is the smallest of them
Now write the equation
10 * (n-1) = 3 * (n-1 + n + n+1) + 22
10n - 10 = 3 * (n + n + n) + 22
10n - 10 = 3 * 3n + 22
10n - 10 = 9n + 22
10n - 9n = 22 + 10
n = 32
Now find these three integers
n-1 = 32 - 1 = 31
n = 32
n+1 =32 + 1 =33
√17/144
Simplify this radical expression
What percent of 950 is 931
Answer:
100.
Step-by-step explanation:
Hope you get it right
an airplane descends 2.2 miles to an elevation of 5.95 miles. find the elevation of the plane before its descent.
Answer:
8.15 miles
Step-by-step explanation:
5.95+2.2=8.15
I need help plz
●|￣|＿
Answer:
the answer is C.
Step-by-step explanation:
if you think about it all you really need to do is the methoes method so that rules out the 2015 and the 2008 and how i ruled out the 2011 is i simply did reasoning, if you follow the charts details and rules there is no possible way it is B. hope this helps!
What is the area of the figure?. Single choice.
(10 Points)
18 cm squared
26 cm squared
34 cm squared
18 cm squared
Answer:
34 cm squared
Step-by-step explanation:
Complete it to full rectangle and calculate the area by multiplying width and length then calculate the area of red area and subtract it from the full rectangle's area
9×6 - 5×4 = 34 cm^2
Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds, £?
Answer:
Your answer is
0.8 pound.
If wrong, Sorry...
But remember to give me correct answer
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
I NEED HELP WITH THIS ASAP
Answer:
I think its AED19
Step-by-step explanation:
please give brainliest if correct
Select the correct answer.
If the zeros of a quadratic function are 3 and 8, what are the factors of the function?
ОА. .
(X + 8) and (x-3)
OB.
(x - 8) and (x + 3)
ОС.
(X + 8) and (x + 3)
OD
(x-8) and (x-3)
Answer:
Hello!The answer would be D-(x-8) and (x-3)
Step-by-step explanation:
Your welcome :)
The factors of the function, If the zeros of a quadratic function are 3 and 8 will be (x - 3) and (x + 8), i.e. option D.
What is quadratic function?
Quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero.
We have,
Zeros of a quadratic function are 3 and 8,
Now,
Let,
[tex]\alpha = 8[/tex] and [tex]\beta=3[/tex]
So,
Now,
Using sum of zeros and product of zeros,
i.e.
[tex]\alpha+\beta=8+3=11[/tex]
And,
[tex]\alpha *\beta =8*3=24[/tex]
So,
The quadratic equation will be in form of ,
[tex]x^2-(\alpha+\beta)x+\alpha\beta=0[/tex]
i.e.
[tex]x^2-(8+3)x+24=0[/tex]
i.e.
[tex]x^2-8x-3x+24=0[/tex]
taking common,
x(x + 8) - 3(x - 8) = 0
(x - 3) (x + 8) = 0
So,
The factor of the quadratic equation are (x - 3) and (x + 8).
Hence, we can say that the factor of the quadratic equation are (x - 3) and (x + 8), i.e. option D.
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[tex] \sin {}^{2} (a) + cos {}^{2} (a) = [/tex]
???
Answer:
sin^2a+ cos^2a=1
it is derived from Pythagoras theorem
Answer:
sin^2a+ cos^2a=1
Step-by-step explanation:
What multiple of 2 is also a factor of 2
Please answer quickly
Find the perimeter of the figure.
8 cm
10 cm
Answer:
12.565 + 8 + 10 + 10 = 40.565
Find the circumfrence of the circle and divide that by 2. Then add the other sides.
Solve for x Solver for x
Answer:
x = 4
Step-by-step explanation:
since it is an equilateral triangle, each angle is 60°. To find x, set up the equation 17x-8=60
17x = 68
x=4
24=6(-x-3)
in class need help
Answer:
- 7
Step-by-step explanation:
6(- x - 3) = 24
-6x - 18 = 24
-6x = 24 + 18
-6x = 42
x = 42 ÷ - 6
x = - 7
$5.40 is what
percent of $4.50?
I
I will give braniest ❤️
Write down the mathematical name of the shape made by each net
The shapes that would be formed by the nets are:
a. Cuboid
b. square pyramid
What is the Net of a Cuboid?A cuboid is a shape that is formed by the net that has six (6) flat faces with angles that are right angles.
The net in figure a above would form a cuboid shape when joined together.
What is the Net of a Square Pyramid?A square pyramid is a thee-dimensional geometric shape that is formed by the net consists of a square base and four triangular sides which joined together at a common vertex.
The image attached below shows the shape that would be formed by the net in figure B, which would be a square pyramid.
Therefore:
a. Cuboid
b. square pyramid
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Nine people are going to share a 128-ounce bottle of soda. How many ounces will each person get to drink?
what is two thirds of 80
Answer:
[tex]53\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} * \frac{80}{1} = \frac{160}{3}=53\frac{1}{3}[/tex]
hope this helps, good luck :)
Answer:
53.3 infinity
Step-by-step explanation:
Shoes and hats are on sale. The expression 1/4(s + 24.80) can be used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. Write another expression that can be used to determine the discount.
Answer:
0.25s + 6.2
Step-by-step explanation:
Discount on sale expression : 1/4(s + 24.80)
Retail price of shoe = s
Retail price of hats = 24.80
From expression, we can conclude that there is a ; 1/4 = 0.25 = (0.25 * 100%) = 25% discount on each item ;
Hence, discount expression could be written as :
0.25s + 0.25(24.80)
0.25s + 6.2
In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest 10th of an inch.
Answer 4.3
Step-by-step explanation:
gave up on delta math
Answer:
4.3
Step-by-step explanation:
In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest 10th of an inch.
D
E
F
d = 6.4
e = 7.8
33°
S.A.S.
→
Law of Cosines
S.A.S.→Law of Cosines
�
2
=
�
2
+
�
2
−
2
�
�
cos
�
a
2
=b
2
+c
2
−2bccosA
From reference sheet.
�
2
=
6.
4
2
+
7.
8
2
−
2
(
6.4
)
(
7.8
)
cos
33
f
2
=6.4
2
+7.8
2
−2(6.4)(7.8)cos33
Plug in values.
�
2
=
40.96
+
60.84
−
2
(
6.4
)
(
7.8
)
(
0.838671
)
f
2
=40.96+60.84−2(6.4)(7.8)(0.838671)
Square and find cosine.
�
2
=
40.96
+
60.84
−
83.73287
f
2
=40.96+60.84−83.73287
Multiply.
�
2
=
18.06713
f
2
=18.06713
Add.
�
=
18.06713
≈
4.251
≈
4.3
f=
18.06713
≈4.251≈4.3
Square root and round.
Your Solution:
4.34.3