Answer:
Perimeter of the rectangle = 32 cm
Step-by-step explanation:
Explanation:-
Let the height of the rectangle = 'x' cm
Thus the length of the rectangle = x + 4 cm
Perimeter of the rectangle = 2 ( length + height )
Area of the rectangle = length X height
Given area of the rectangle = 60 cm²
( length X height ) = 60
( x + 4) x =60
x² + 4 x - 60 =0
x² + 10 x- 6 x - 60 =0
x ( x+10) - 6 ( x + 10 ) =0
(x+10) ( x -6 ) = 0
x = -10 and x =6
we can choose x =6
The height of the rectangle(H) = 'x' = 6 cm
The length of the rectangle (L)= 6 + 4 = 10cm
Perimeter of the rectangle = 2 ( length + height )
= 2 ( 10 + 6 )
= 32 cm
∴ Perimeter of the rectangle = 32 cm
Answer:
32 cm
Step-by-step explanation:
height = x
length = x+4
x(x+4)=60
x^2 +4x=60
make it into quadratic formula
x^2 + 4x - 60 =0
a=1
b=-4
c=-60
4^2-4*1*(-66)
discriminant equals to 256
square root of 256 equals to 16
x=-4+16/2 = 6
x=-4-16/2 = -10
we will use 6
length is x+4 so 6+4 = 10
width is x = 6
10 plus 10 = 20
6 plus 6= 12
20+12=32 cm
Find the measure of the exterior angle.
Answer:
108 degrees
Step-by-step explanation:
From the diagram we are given
Interior angles are 2x + 1 and 63 degrees
Exterior angle = 5x -2
The sum of interior angles is equal to the exterior angle
2x + 1 + 63 = 5x - 2
2x + 64 = 5x - 2
2x - 5x = -2-64
-3x = -66
x = -66/-3
x = 22
Get the exterior angle:
Exterior angle = 5x-2
Exterior angle = 5(22) - 2
Exterior angle = 110-2
Exterior angle = 108 degrees
Hence the measure of the exterior angle is 108 degrees
4. a. Write a story to represent the equation 15 ÷ 1/9 : _______. Solve the equation and complete the story.
b. What multiplication equation shows that your division is correct?_________________________. This is due tomorrow. I need your help.
Answer:
4555
Step-by-step explanation:
32233x222213456765x345665434565
What is c4 divided by c3?
Answer:
the answer is C
Step-by-step explanation:
hoped I helped.
what is the answer please ?
Answer:
25
Step-by-step explanation:
= 3*3*3 + 3 - 5 = 27+3-5
27+3-5= 30-5
30-5=25
have a wonder full day
Answer:
It's B. 25.
Step-by-step explanation:
Substitute x, the variable with 3. First solve [tex]3^{3}[/tex] which is 27 and then 3-5 which is -2. Then, add the two and you will get 25.
Hope this helps!
How does the graph of g(x) = 3X – 2 compare to the graph of f(x) = 3X?
The graph of g(x) is a translation of f(x) 2 units left.
The graph of g(x) is a translation of f(x) 2 units right.
O The graph of g(x) is a translation of f(x) 2 units up.
The graph of g(x) is a translation of f(x) 2 units down.
Using translation concepts, it is found that:
The graph of g(x) is a translation of f(x) 2 units down.
---------------------------------------------
Translating a function f(x) a units down is the same as finding f(x) - a.
---------------------------------------------
In this question:
[tex]f(x) = 3x[/tex][tex]g(x) = 3x - 2 = f(x) - 2[/tex]Thus, g(x) is f(x) translated 2 units down, and the correct option is:
The graph of g(x) is a translation of f(x) 2 units down.
---------------------------------------------
At the end, the graph is given, with f(x) in red and g(x) in blue.
A similar problem is given at https://brainly.com/question/23901976
Answer:
simply fourth option.
Step-by-step explanation:
Which equation is not a linear function? Question 2 options: A) y = –3x – 7 B) 2x + 4y – 12 = 0 C) 6x + 4y = 8 D) 2x2 – 3y = 9
Answer:
A libear equation has no x^2. Therefore it would be D since it does have an x^2
Answer:
The answer is A
Y= -3x - 7
When ringing up a customer, a cashier needs 27 seconds to process payment as well as 3 seconds to scan each item being purchased. If it takes 45 seconds to ring up a customer, how many items are being purchased?
Answer:
There are 4 items being purchased
1. The bill at a restaurant is $65.38. The waiter typically receives a 15% tip.
How much is the total bill?
Answer:
75.187 $
Step-by-step explanation:
I did it this way:
65.38$ : 100% = X : 115%
100X = 65.38 x 115
100X = 7518.7
X = 7518.7 ÷ 100
X = 75.187
Companies A and B produce phone chargers. Company A makes 15 phone chargers when Company B makes 20 phone chargers. When Company A makes 30 phone chargers, how many phone chargers does Company B make? Write your answers in the blanks.
Answer:
40
Step-by-step explanation:
Help plz
For khan academy
Answer:
-18y =1
It is simple addition
30-60-90 please help me find the long side and short side Urgent
Answer:
just download conects
Step-by-step explanation:
Can someone help me solve for x and y of this?
Answer:
x = 10
y = 5
Step-by-step explanation:
Since, two lines p and q are the parallel lines and FA is a transversal line intersecting these parallel lines.
ΔAOB and ΔDOC are the similar triangles.
Therefore, by the property of similar triangles, corresponding sides of the similar triangles will be proportional.
[tex]\frac{AO}{OD}= \frac{OB}{OC}[/tex]
[tex]\frac{x}{15}= \frac{8}{12}[/tex]
x = [tex]\frac{15\times 8}{12}[/tex]
x = 10
Similarly, triangles AOB and OEF will be similar.
And by the property of similar triangles,
[tex]\frac{AO}{OF}= \frac{OB}{OE}[/tex]
[tex]\frac{x}{15+y}= \frac{8}{12+4}[/tex]
[tex]\frac{10}{15+y}= \frac{8}{16}[/tex]
8(15 + y) = 160
120 + 8y = 160
8y = 160 - 120
8y = 40
y = 5
Write an expression to match each phrase.
the quotient of 4 and e
Answer:
When you divide one number by another, the result is called the quotient. This is true for rational expressions too! When you divide one rational expression by another, the result is called the quotient.
High School Advice Situation:
I am in Engineering 1 rn and I am a freshman and my semester 1 grade is a C and I am struggling, so I am thinking of withdrawing from my elective and go to a different elective which I know I can get an A+ in, but should I, because when I withdrawal I think it shows as an F. Help Please!
Step-by-step explanation:
Which do you enjoy the most?
Olivia is making scarves each score will have seven rectangles and 6/7 right angle will be purple high before rectangles does she need for three scarves
Answer: 6 purple rectangles
Step-by-step explanation: We know that each scarf will have 5 rectangles and 2/5 of the rectangles will be purple: 2/5 * 5 = 2. It means that each scarf will have 2 purple rectangles. And for 3 scarves : 3 * 2 = 6. Answer: She needs 6 purple rectangles.
Help me please! I don’t understand! I’ll give you brainly!
Answer:
Does not represent a polynomial
Step-by-step explanation:
Answer:
Does not represent a polynomial.
Step-by-step explanation:
In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
triangle abc is an isosceles triangle in which ab=ac what is the perimeter of abc
Answer:
C. 10 + squareroot10 units
Step-by-step explanation:
Write the equation of the line below. Please help
Step-by-step explanation:
The line is a vertical line of the form x = a, where a is a real constant.
Sincw the line passes through the point (-5, 0), the line equation is x = -5.
In a random sample of 145 people, 112 said that they watched educational TV. Find the 93% confidence interval of the true proportion of people who watched educational TV.
Answer:
The 93% confidence interval of the true proportion of people who watched educational TV
(0.73716 , 0.80684)
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 145
A random sample of 145 people, 112 said that they watched educational TV.
Sample proportion
[tex]p^{-} = \frac{112}{145} = 0.772[/tex]
Step(ii):-
The 93% confidence interval of the true proportion of people who watched educational TV
[tex](p- Z_{0.07}\sqrt{\frac{pq}{n} } , p + Z_{0.07} \sqrt{\frac{pq}{n} } )[/tex]
[tex](0.772- 1.427\sqrt{\frac{0.772X0.228}{145} } , 0.772 + 1.427 \sqrt{\frac{0.772X0.228}{145} } )[/tex]
( 0.772 - 0.03484 , 0.772 + 0.03484)
(0.73716 , 0.80684)
Final answer:-
The 93% confidence interval of the true proportion of people who watched educational TV
(0.73716 , 0.80684)
HELP
Given the equation,
y = 1/3x - 4, what is the slope and the y-intercept?
m= 4 and b= 1/3
m= -4 and b=1/3
m= 1/3 and b= 4
m= 1/3 and b= -4
Answer:
m = 1/3 and b = - 4
Step-by-step explanation:
The equation already gives the answer as the equation is in slope-intercept form.
[tex]y = mx + b[/tex]
Where m = slope and b = y-intercept.
From the equation —
[tex]y = \frac{1}{3} x - 4 \\ m = \frac{1}{ 3} \\ b = - 4[/tex]
Therefore, our slope is 1/3 and y-intercept is - 4.
Solve for a: b − 2a = c
Answer:
[tex]a=-\frac{c-b}{2}[/tex]
Step-by-step explanation:
Solving for the variable [tex]a[/tex], given that :
[tex]b-2a=c[/tex]
We can first start start by subtracting [tex]b[/tex] from both sides of the equation:
[tex]-2a=c-b[/tex]
Now, we can divide both sides of the equation by the coefficient of [tex]a[/tex], which would be [tex]-2[/tex]:
[tex]a=\frac{c}{-2}-\frac{b}{-2}[/tex]
Applying the fraction rule [tex]\frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}[/tex]:
[tex]a=\frac{c-b}{-2}[/tex]
Then, apply the fraction rule [tex]\frac{a}{-b} =-\frac{a}{b}[/tex]
[tex]a=-\frac{c-b}{2}[/tex]
Find all the solutions in the interval [0,2π)
sin²x = 2-2cosX
Step-by-step explanation:
sin²x = 2 - 2cosx
1 - cos²x = 2 - 2cosx (because sin²x + cos²x = 1)
cos²x - 2cosx + 1 = 0
(cosx - 1)² = 0
cosx - 1 = 0
cosx = 1
Hence x = 0.
A photo is 4 inches tall and 6 inches where to be proportional how tall will the photo need to be if it were 10 inches wide
Answer:
15 inches
Step-by-step explanation:
because 4 times 2.5 equals 10, we multiply 6 by 2.5 too
The price of a shirt is usually £45. During a sale the prices in the shop are reduced by 2 5 . How much is the shirt in the sale?
Answer:
£27
Step-by-step explanation:
From the above question, we know that:
The price of a shirt is usually = £45. During a sale the prices in the shop are reduced by 2/5 .
Hence, the amount that the cost of tht shirt is reduced by is :
£45 × 2/5
= £18
The cost of this shirt in the sale is calculated as:
£45 - £18
= £27
can someone please help me with what to do for this question
Answer:
you need to find out how many miles she drove on each section and then add them together. 60 miles, per hour, for 4 hours. and 50 miles, per hour, for 3.
60*4 + 50*3
240 + 150
390: C
Step-by-step explanation:
I hope this helps :)
Find the 37th term of the arithmetic sequence: -38,-8,22,52
Answer:
1042
Step-by-step explanation:
-38,-8,22,52
The common difference is 52 - 22 = 30
a_1 = -38
a_2 = -38 + 30
a_3 = -38 + 2 * 30
a_4 = -38 + 3 * 30 (notice that the common difference is multiplied by 1 less than the term number)
a_n = -38 + (n - 1)30 (since the term number is n, we multiply the common difference by n - 1)
a_n = -38 + 30(n - 1)
a_37 = -38 + 30(37 - 1)
a_37 = 1042
If 2.29 x 19.79 = 45.3191, then without actual multiplication the value of 0.0229 x 1979 is?
Answer:
The answer remains the same (45.3191)
Step-by-step explanation:
0.029 is 100 times smaller than 2.29 but 1979 is 100 times bigger than 19.79. The 100’s cancel each other out so the answer remains the same.
What is the slope of the line with points A and B?
7/3
-7/3
-3/7
3/7
Answer:
3/7
Step-by-step explanation:
Answer:
it's 3/7 the guy/gal above me is correct, as is goes 3 up then 7 to the right and is positive
Step-by-step explanation:
Consider functions mand n.
mix)
m
4
X
3
2
4
1
-5
-3 -1
3
3
or
5
n() 2
1
- 3
1.50
What is the value of xwhen (m o n) (+) = 2
A. -1.5
B. 0
ОО
C.
-3
D. 3
Answer:
c. -3
Step-by-step explanation:
just took the test ;)
X/5>7 pick a solution that satisfies the inequality
-44
34
44
-34
Answer:
44
Step-by-step explanation:
44÷5 is 8.8 which is greater than 7
Answer:
x=44
Step-by-step explanation:
Divide each number by 5
-44/5 = -8.8
34/5 = 6.8
44/5=8.8
-34/5=-6.8
8.8 is the only one greater than 7 so 44 is the only one that satisfies the inequality