Answer:
1352 cm
Step-by-step explanation:
Length (l) = 13 cm
Width (w) = 52 cm
Perimeter of the rectangle = 2(l + w) units
P = 2(13 + 8)
P = 2 (21)
P = 42
Thus, the perimeter of the rectangle is 42 cm.
Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?
Solution:
We know that the dimensions of the rectangle in terms of x:
l = 2x + 1
w = 2x – 1
Since the area of a rectangle is given by:
A = l * w
We can substitute the expressions for length and width into the equation for area in order to determine the value of x.
A = l * w
15 = (2x + 1) (2x -1)
15 = 4x2 – 1
16 = 4x2
x = ±2
Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:
l = 11 cm
w = 52 cm
Therefore, the dimensions are 5cm and 3cm.
Now, substituting these values in the formula for perimeter, we will get
P = 2l + 2w
P = 2(5)+2(3)
P = 10+6
P = 16 cm
What is 38% of 12?
Please
Answer: 4.56
Step-by-step explanation:
When you come across questions that says [a of b] this means [ab]
If you are still confused, I can provide some examples:
10% of 10=10%×10=12/3 of 6=2/3 × 6=4-----------------------------------------------------------------------------------------
Given
38% of 12
Solve
38% × 12= 4.56
Hope this helps!! :)
Please let me know if you have any questions
for this graph, mark the statements that are true
I need this quick pls.
Answer:
8/3
Step-by-step explanation:
Slope is rise/run. The rise here is 8. The run is 3. The line rises left to right so the slope is positive.
Hope it helps!
The radius of a circle is 10 feet. What is the area of a sector bounded by a 45° arc?
Answer:
39.25 square ft
Step-by-step explanation:
[tex]Area \: of \: sector = \frac{45 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{1}{8} \times 3.14 \times {10}^{2} \\ \\ = \frac{3.14 \times 100}{8} \\ \\ = \frac{314}{8} \\ \\ = 39.25 \: {ft}^{2} [/tex]
Slove the following:
Answer:
let required no be x
[tex] \frac{1}{7} = \frac{x}{42} [/tex]
by doing crisscrossed multiplication
[tex]42 \times 1 = 7 \times x[/tex]
42=7x
dividing both side by 7
[tex] \frac{42}{7} = 7x \div 7[/tex]
6=x
therefore x=6
therefore value of remaining no.is 6
Step-by-step explanation:
solution
here,
let, the required number be x
1/7=x/42
or, 42= 7x
or, x= 42/ 7
therefore, x= 6
hope this helps u...
Marco has a bag of red, blue, and green tiles. Which set of events would be considered independent?
A) A tile is drawn and replaced, and then a second tile is drawn.
B) A tile is drawn and removed, and then a second tile is drawn.
C) A red or blue or green tile is drawn.
D) Two tiles are drawn at the same time.
Answer:
45
Step-by-step explanation:
. The industrial output of an automobile factory increases by 5% of what it had been in the beginning of
every year. Find the production after 3 years, if the factory turns out 80000 units this year.
Someone help me please crack this code?
Answer:
B=1 C=4 D=6 A=9
Step-by-step explanation:
Its a clock
Answer:
A = 9
B = 1
C = 4
D = 6
Step-by-step explanation:
PLEASE HELP ASAP
Maria recently hired a plumber to do some necessary work. On the final bill, Maria was charged a total of $473. The amount listed for parts was $335 and the rest of the bill was for labor. If the hourly rate for labor was $46, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable. The equation is __________________
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was ________________________
Answer:
A)473 = 335 - 46x
B) 3
Step-by-step explanation:
A)
473 = 335 - 46x
x = the hours of labor needed.
B)
Solve for x
473 = 335 - 46x
subtract 335 from both sides
138 = 46x
divide both sides by 46
3 = x
Answer:
A) [tex]46x+335=473[/tex] B)[tex]x=3[/tex]
Step-by-step explanation:
473 is the total amount, which means it is the end result
335 represents a constant since it is a base price
the hourly rate is a variable, due to the fact that it depends on how many hours he spent working.
variable + constant = total price
[tex]46x+335=473[/tex]
Now to solve this, first subtract [tex]335[/tex] from both sides
[tex]46x=138[/tex]
Next divide both sides by [tex]46[/tex] to isolate the variable
[tex]x= \frac{138}{46}[/tex]
This can be simplified to: [tex]x=3[/tex]
plz mark me brainliest. ;)
46. MULTI-STEP A flying disk has a radius of 4.9 inches. Jolanda discovers that adding a hole with a radius of 3.75 inches to the center of the disk reduces the weight of the disk, so it travels farther. Jolanda wants to experiment with the size of the disk to increase flying distance. In the new disks she creates, the sizes of the disks and holes are increased on decreased by the same amount. a. Write an expression for the area of the top of the new flying disks. b. Explain your solution process.
Answer:
jdnckrbekspqhdjgkck,bwmwldbcbxnlwlwwnckv
help with this plz brainliest
Answer:
5. b 6. c 7. d 8. a
Step-by-step explanation:
Give the result of 3(x-2).
Answer:
3x-6
Step-by-step explanation:
3(x-2)
3 multiply both x and -2
3x-6
hope it's helpful ❤❤❤❤
THANK YOU.
Mary has 200ml of hand sanitizer that is 15% alcohol. She mixes it with 200ml of a
hand sanitizer that is x% alcohol,
How many milliliters of water is in the resulting mixture of hand sanitizers?
Answer:
(370-2x)ml
Step-by-step explanation:
We are given that
In first hand sanitizer
Total solution=200ml
Alcohol=15% of 200ml
Alcohol=[tex]\frac{15}{100}\times 200=30ml[/tex]
In second hand sanitizer
Solution=200 ml
Alcohol=x% of 200 ml
Alcohol=[tex]\frac{x}{100}\times 200=2x ml[/tex]
We have to find the water in the resulting mixture of hand sanitizers.
Total solution of two hand sanitizers=200+200=400ml
Total alcohol in two hand sanitizers=(30+2x)ml
Water in two hand sanitizers=400-(30+2x) ml
Water in two hand sanitizers=400-30-2x ml
Water in two hand sanitizers=(370-2x)ml
Hence, water in the resulting mixture of hand sanitizers=(370-2x)ml
Order the numbers from least to greatest.
0.462; 0.436; 0.435; 0.478
A.0.462; 0.436; 0.435; 0.478
B.0.435; 0.436; 0.462; 0.478
C.0.478; 0.462; 0.436; 0.435
D.0.436; 0.435; 0.462; 0.478
Answer:
The answer is B. 0.435,0.436,0.462,0.478
Step-by-step explanation:
:)
Which expression is equivalent to 15x + 3?
A. 15(1x + 1)
B. 5(3x + 1)
C. 3(5x + 1)
D. 2(15x + 3)
Answer:
C
Step-by-step explanation:
3(5x + 1) | Given
15x + 3 | Multiply each term on the inside by the number on the outside of the parenthesis (3). This is called distributing.
On a circle graph, a section that represents 80% of the graph has a central angle measure of 288º.
True
False
Round 8265 to the nearest ten?
Arturo is driving at a speed of 50 miles per hour. At 2:00 he
sees the following sign.
Applebee
11 miles
Beauville
41 miles
Caanan
62 miles
Denton
98 miles
Arturo continues at the same speed. At 2:30 how far from
Caanan will he be?
A.
12 miles
B.
16 miles
C.
25 miles
D.
26 miles
E.
37 miles
Answer:
Your answer is 37
Step-by-step explanation:
Caanan is 62 miles away and since he drives at 50 miles per hour, and if it is 2:30 then 30 minutes is half a hour, which means you divide 50 in half by 2 and get 25. After you do that then you subtract 62 and 25 to get your answer 37. Have a good day!!! :)
Find 25% of 80 kg A 40kg B 10kg C 8kg D 20kg help me plss
Answer:
25% of 80 is D. 20kg
Step-by-step explanation:
50% of 80 is 40 and we know that 25% is half of 50%, so half of 40 would be 20.
So, the answer is D. 20kg
Hope this helps! :)
Find c.
Round to the nearest tenth:
a
10 cm
1509
12°
с
c = [? ]cm
Law of Sines: sin A
sin B.
b
sin C
С
a
Enter
9514 1404 393
Answer:
14.9 cm
Step-by-step explanation:
To find c using the Law of Sines, you must know angle C. That is found from ...
C = 180° -A -B = 180° -150° -12° = 18°
Then the law of sines tells you ...
c/sin(C) = b/sin(B)
c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)
c ≈ 14.9 cm
15 points and brainliest! Solve for x. 7x + 3 = 17
A: x= 2
B: x=7
C: x=20
D: x=27
Answer:
Its A
Step-by-step explanation:
7x + 3 =17
-3 ( 17 -3 = 14)
7x = 14. (14 divided by 7)
u get x=2
PLEASE HELP PLEASEEE THANKS!!
Simplify the expression to a polynomial in standard form:
(
3
x
+
5
)
(
2
x
2
+
x
+
5
)
(3x+5)(2x
2
+x+5)
Answer:
9x
4
+120x
3
+550x
2
+1000x+100x2
2
+500x2+625+18x
3
x2+150x
2
x2+350×2+50x2x+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+150×2
Step-by-step explanation:
(3x+5)(2x2+x+5)(3x+5)(2x2+x+5)
=(6×2+3x
2
+15x+10x2+5x+25)(3x+5)(2x2+x+5)=
=(3x
2
+20x+10x2+25+6×2)(3x+5)(2x2+x+5)=
=(9x
3
+15x
2
+60x
2
+100x+30×2+50x2+75x+125+6×2⋅3x+6×2⋅5)(2x2+x+5)=
=(9x
3
+15x
2
+60x
2
+100x+30×2+50x2+75x+125+18x
2
x2+6×2⋅5)(2x2+x+5)=
=(9x
3
+15x
2
+60x
2
+100x+30×2+50x2+75x+125+18x
2
x2+30×2)(2x2+x+5)=
=(9x
3
+75x
2
+175x+50x2+125+30×2+18x
2
x2+30×2)(2x2+x+5)=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+30×2⋅2x2+30×2x+30×2⋅5+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30×2x+30×2⋅5+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+30×2⋅5+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+150×2=
=9x
4
+120x
3
+550x
2
+1000x+100x2
2
+500x2+625+18x
3
x2+150x
2
x2+350×2+50x2x+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+150×2
Find X.
Round to the nearest tenth.
Answer:
Step-by-step explanation:
[tex]c^2=a^2+b^2-2ab\cos\theta\\ \\ \theta=\cos^{-1}\frac{a^2+b^2-c^2}{2ab}\\ \\ \theta=\cos^{-1}\frac{55^2+50^2-90^2}{2(55)50}\\ \\ \theta\approx117.9^o[/tex]
Jake buys yards of cloth. He uses yard for a craft project. How much cloth, in yards, does Jake have left?
Answer:
i think Its 5/8
Step-by-step explanation:
this one is tricky for me at least
........................
Answer:
what do u need help with?
Step-by-step explanation:
For the proportion, find the unknown number n. 9.6/16 = n/3.2
Answer:
n = 1.92
Step-by-step explanation:
Multiply both sides of the equation by 3.2
[tex]3.2*\frac{2}{3.2} =3.2*\frac{9.6}{16}[/tex]
Simplify both sides of the equation.
n = 1.92
good luck, i hope this helps :)
which relation is a function of x
Answer:The fourth function
Step-by-step explanation:
You can never have repeating x-values. You can have repeating y-values though. Whenever determining whether something is a function, just look at whether it has repeating x-values or not. If it does, it is not a function. If it doesn't, it is a function.
margo has sandwich cut into 1/3 pieces . if she needs to serve 11 people how many whole sandwiches will she need?
Answer:
she needs 4 and will have 1/3 of a sandwich left
Step-by-step explanation:
Answer:
12 pices remainder 1
Step-by-step explanation:
Because if u split a sandwich in 12 pices u get 1 extra sandwich left over and 12 is good enough for 11 ppl hope I helped
PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM
Answer: It's given in the equations.
Step-by-step explanation:
First One
f(x) = -2^x
Second
f(x) = -4(2)^x
Third
f(x) = 4(2)^x
Fourth
f(x) = 2^x