Given:
The length of a rectangle is 5 centimeters less than 2 times the width.
To find:
The polynomial expression that represents the area of the rectangle, then simplify the expression.
Solution:
Let [tex]x[/tex] be the width of the rectangle.
The length of a rectangle is 5 centimeters less than 2 times the width.
2 times the width = [tex]2x[/tex]
5 centimeters less than 2 times the width = [tex]2x-5[/tex]
Length of the rectangle = [tex]2x-5[/tex]
We know that, the area of a rectangle is:
[tex]A=length \times width[/tex]
[tex]A=(2x-5)\times x[/tex]
[tex]A=2x^2-5x[/tex]
Therefore, the required polynomial expression is [tex]A=(2x-5)\times x[/tex] and its simplified form is [tex]A=2x^2-5x[/tex].
please help me stat! im not sure on what to do.
Xavier bought a bicycle that was on sale for 15% off.If Xavier paid $68 for the bicycle,how much money did he save,compared to the original price
Answer:
453.33
Step-by-step explanation:
Ratios:
[tex]\frac{15}{100} =\frac{68}{x} \\\\15x=6800\\x=453.33[/tex]
Double check:
453.33(0.15) = 68
What is the factored form of this expression?
x^2 + 6x − 16
Substitute numerical values into the expression for p and q.
Answer:
(x+2)(x-8)
Step-by-step explanation:
Find cos(3) in the triangle
Answer:
I'm pretty sure its a, if not b
Which quantity is proportional to 35⁄80?
Answer:
7/16
Step-by-step explanation:
Answer:
7/16
Step-by-step explanation:
Simplify
What is the trigonometric ratio for cosD?
Answer:
7/25
Step-by-step explanation:
Cos x=Adjacent/hypotenuse
Clad=21/75=7/25
find the volume of a cone with a height 7 and radius 7
Answer:
359.19
Step-by-step explanation:
Using the formula V=(πr^2) * h/3 and plugging in the given values we get 359.19.
I estimated pi at about 3.14
Jenny counted the coins in her bank.
She had 4 times as many nickels as dimes.
She had 8 more quarters than nickels.
She had 52 dimes.
How many quarters did Jenny have in her bank?
A.
21
B.
64
C.
200
D.
216
Answer:
the top one is correct
Step-by-step explanation:
byee
The area of a rectangular piece of paper is 32 square inches. It is 8 inches long. How wide is it?
Answer:
4 inches
Step-by-step explanation:
8 times 4 is 32
x - 3y=-12
-9x - y = 24
Solve plzzz
Answer:
y = -9x - 24
x = -27x - 84
Step-by-step explanation:
i need help abc or d plzzzzz
Answer:
Isosceles and Right
Step-by-step explanation:
An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.
Answer:
Isosceles and right
Step-by-step explanation:
We have a picture of triangle and are asked to name it, look at definitions below :
Isosceles - Geometrical figure with three sides and three angles
Right - Triangle where one angle is a right angle (90°)
Scalene - Triangle where all three sides have different lengths
Acute - Triangle where all three sides are less than 90°
If we look at the triangle, we can tell that it has three sides and three angles, therefore isosceles must be in one of the answer choices. Crossing out the options scalene and acute / scalene and right.
Now we have two options and we need to determine whether this triangle is an acute triangle or is a right triangle.
To figure out so we can look at the angle in the bottom left, which when measures equals to 90°. Therefore making it a right triangle and crossing out the other option.
Our answer left is Isosceles and Right.
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An investment account started at $800 at the
beginning of the month. By the end of the month, the
account had 125% of $800 in it. What was the final
account balance?
Answer:
Are we human, or are we dancer
Step-by-step explanation: this is an answer your teacher would love trust me ;)
According to the general equation for conditional probability, if P(An B) = 4
and P(B) = ?, what is P(ALB)?
O
A.
40
49
B.
24
49
O
16
49
Help please
Answer:
B
Step-by-step explanation:
how many dose 35 get to 56?
There are 4 boys and 16 girls planning the next school dance. What is the ratio of boys to girls planning the school dance?
Answer:
1 : 4
Step-by-step explanation:
If you simplify the amount of boys over girls, you get 1/4.
2(x-3)-5 equal to or less than 9
Answer:
x ≤ 10
Step-by-step explanation:
2x-6-5 ≤ 9
2x-11 ≤ 9
2x ≤ 20
x ≤ 10
Brian and sonya each have a container. They mark their containers to show tenths. Brian and sonya both fill their containers with 0.7 units of juice. However, brian has more juice in him container. Explain how this is possible.
Answer:
Step-by-step explanation:
Brian could have more juice than Sonya in actual sense, This is because the representation used, that is the container has been calibrated to show tenth. This means that decimal values of juice in the container will not show explicit volume beyond tenth. Hence the volume will be rounded.
For instance, if the actual volume of juice Brian has Is 0.74 and that owned by Sonya is 0.69. In actual sense, 0.74 > 0.69 . However, if both pour their juice into the calibrated container, Brian's volume will be rounded to the nearest tenth as 0.7 and Sonya's (0.69) will also be rounded to 0.7.
But in actual sense, Brian has more Juice than Sonya.
Hey pls help if you don’t know the answer then don’t reply
Step-by-step explanation:
25 min. to get to the library
1-hour story = 60 min.
25 min. to go back home
25 + 25 + 60 = 110 min.
110. min = 1.83333 hrs.
9:15 am + 1.83333 = 10.98333 am
98 - 60 = 38
60 = 1 hr. -----> 60 + 60 = 120 minutes -----> 2 hrs.
11: 38 am
Brainlist Pls!
The cost of a pen at the office supply store is $2.65. The school store sells the pen for $3.45. How much does the school store markup the pen?
Enter the correct answer in the box.
$$
A rectangular field is 36
meters long and 15 meters
wide How many more meters
18 it to walk on the sidewalk
rother than cutting through
the field diagonally?
Answer:
12meters
Step-by-step explanation:
Given data
Lenght = 36 meters
Width = 15 meters
The dimension of the diagonal can be gotten via Pythagoras theorem
D^2= L^2+W^2
Substitute
D^2= 36^2+ 15^2
D^2= 1296+225
D^2= 1521
D= √1521
D= 39 meters
Hence the distance while walking on the side is
=36+15
=51 meters
Hence the difference is
=51-39
=12meters
Why do you think sum or difference formulas will be helpful with finding the exact
ues of uncommon angles?
Answer:
The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle. The angle sum identities take two different formulas: sin(A+B) = sinAcosB + cosAsinB. cos(A+B) = cosAcosB − sinAsinB. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
Brainlist Pls!
What is the slope of the line containing (4, 7) and (1, 10)
Answer:
[tex] \frac{10 - 7}{1 - 4} = \frac{3}{ - 3} = - 1[/tex]
Multiply 6x by 3x^2y
Four friends earned more than $400 working at a snack stand. After paying their parents $50 for providing supplies, the friends divided the remaining money equally among themselves. Which inequality could the friends have used to find m, the amount of money each would receive?
Answer:
the equation (400-50) divided by 4
= $87.50 per person
Step-by-step explanation:
hope it helps
The radius of a circle is 8.5 inches. The circumference of the circle is C inches.
A. 85/c
B. c/17
C. c/8.5
D. 17/c
Interpreting as: circle 8.5 inches.
Assuming
"circle"
is a geometric object
circle | radius 8.5 inches
Equation:
(x - x_0)^2 + (y - y_0)^2 = 72.
(assuming center (x_0, y_0))
Properties:
diameter | 17 inches
area enclosed | 227 in^2 (square inches)
circumference | 53.4 inches
answer is D. 17/C
Teniendo en cuenta que tg 45°=1, deduce el valor de sen 45° y de cos 45° mediante las relaciones fundamentales.
Answer:
the value is 0.707
Step-by-step explanation:
The computation is shown below:
Tan (x) = sen (x) ÷ cos (x)
Tan 45° = sen 45° ÷ cos 45° = 1
Now
Sen^2 (x) + cos^2 (x) = 1
Sen^2 (x) + sin^2 (x) = 1 (As sen (x) = u)
2u^2 = 1
u = √1 ÷ √2
= √2 ÷ 2
= 0.707
Hence, the value is 0.707
Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.
mJKL = 230
area of shaded sector =
area of unshaded sector =
Answer:
Area of the unshaded sector = 113.4 sq units
Area of the shaded sector = 200.6 sq units
Step-by-step explanation:
First let us calculate the area of the circle
Area of the circle = πr²
radius r = 10units
Area of the circle = π(10)²
Area of the circle = π(100)
Area of the circle = 3.14(100)
Area of the circle = 314 sq. units
Area of a sector = theta/360 * πr²
Area of the unshaded sector = 130/360 * 314
Area of the unshaded sector = 13/36 * 314
Area of the unshaded sector = 113.389 sq units
Area of the unshaded sector = 113.4 sq units
Area of the shaded sector = Area of circle - Area of the unshaded sector
Area of the shaded sector = 314 - 113.89
Area of the shaded sector = 200.6sq. units
Solve for y.
- 12 = 6y +18-9y
Answer:
[tex] \boxed{y = 10} [/tex]
Step-by-step explanation:
-12 = 6y + 18 – 9y
[Group like terms 6y and -9y]
-12 = (6y – 9y) + 18
[Simplify the expression]
-12 = -3y + 18
[Subtract 18 from both sides, subtraction property of equality, to isolate the variable and the value]
-12 = -3y + 18
–18 –18
-30 = -3y
[Divide by -3 from both sides, division property of equality, to get the variable y by itself]
-30 = -3y
÷(-3) ÷(-3)
10 = y
[Symmetric property of equality, if b = a, then a = b]
y = 10
Select the correct answer.
William buys two bags of peaches and three bags of apricots for $17. Sylvia buys four bags of peaches and two bags of apricots for $22 from the same store. What is the cost of one bag of peaches?
A.
$3
B.
$4
C.
$5
D.
$7
wer:
B 4
Step-by-step explanation:
HELP FAST!!
Which of the following shows 16/12 as a mixed number and 1 5/8 as an improper fraction?
Answer:
[tex]\frac{16}{12} =1\frac{1}{3}[/tex]
[tex]1\frac{5}{8}= \frac{13}{8}[/tex]