The new dimension of the rectangle are as follows;
6 ft4 ftHow to find the new dimension of the rectangle?The new dimension of the rectangle can be found as follows;
The sides of a square are equal.
Therefore,
let the side of the square = x
Hence,
length = x + 3
width = x + 1
area of rectangle = lw
where
l = lengthw = widthTherefore,
24 = (x + 3)(x + 1)
24 = x² + x + 3x + 3
24 = x² + 4x + 3
x² + 4x + 3 - 24
x² + 4x - 21 = 0
(x - 3)(x + 7)
Therefore,
x = 3 or -7
It can't be negative. Hence, x = 3 ft
Therefore, the new dimension of the rectangle are as follows;
x + 3 = 3 + 3 = 6 ftx + 1 = 3 + 1 = 4 ftlearn more on rectangles here: https://brainly.com/question/17562456
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I need help understanding this question
Answer: what question i don't see it but you can try reading it again and writing it down
9. Latoya's mom makes her a birthday cake in the shape of an "L". Latoya loves frosting,
so her mom covers the entire outside of the cake in frosting, even the bottom of the
cake.
4 in
12 in
2 in
9 in
How much space does Latoya's mom cover in frosting?
inches²
8 in
4 in
Answer:
223
Step-by-step explanation:
find the area for each side.
4x = 20
How can I solve it quickly?
I don’t want only the results.
Answer:
5
Step-by-step explanation:
You need to do 4 divided by 4 on 1 side and 20 divided by 4 on the other side
4÷4= 1 so we are left with x
20÷4= 5 so we are left with 5
Therefore x=5
Hi student, let me help you out!
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We are asked to solve the equation 4x=20.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Remember, we need to get x all by itself.Is x all by itself? No, there's a 4 multiplied by it.
So, we do the opposite operation.
The opposite of multiplication is..?
Division.
Thus, we divide both sides by 4.
x=5
[tex]\ddot\bigstar[/tex] Remember this...
[tex]\fbox{When\;solving\;equations\;,\;our\;goal\;is\;to\;find\;the\;value\;of\;the\;variable,\;which\;in\;this\;case\;was\;x}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students :)
HELP
Select the correct answer from each drop-down menu.
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
The three-dimensional shape that this net represents is a
The surface area of the figure is
12 cm
12 cm
12 cm
square centimeters.
Reset
Next
The net represents a cube.
The net shows a cube with a side length of 12 cm, meaning its surface area is [tex]6(12)^{2}=\boxed{864 \text{ cm}^{3}}[/tex]
Answer:
cube864 cm²Step-by-step explanation:
The Platonic solid with six (6) square faces is the cube. Its surface area is the sum of the areas of the square faces. Each of those is the square of its edge length.
__
The 3-dimensional shape represented by the net is a cube.
The area of the cube is ...
6 × (12 cm)² = 6 × (144 cm²) = 864 cm²
What is the solution to
[tex] \sqrt{ - x} = \sqrt{x + 13} [/tex]
Answer: -6.5
Step-by-step explanation:
First, you take the values on both sides to the power of 2 to get:
-x = x + 13
Subtract x on both sides.
-2x = 13
Divide both sides by -2.
x = -6.5
Answer:
[tex]x=-\dfrac{13}2[/tex]
Step-by-step explanation:
[tex]~~~~~\sqrt{-x} = \sqrt{x+13}\\\\\implies -x= x+13~~~~~~~~~~~~~~~~;[\text{Square on both sides}]\\\\\implies -x -x = 13\\\\\implies -2x = 13\\\\\implies x = -\dfrac{13}2\\\\\text{Verify solution:}\\\\~~~~~~~\sqrt{-\left(- \dfrac{13} 2 \right)} = \sqrt{-\dfrac{13}2 +13}\\\\\\\implies \sqrt{\dfrac{13}2} = \sqrt{\dfrac{13}2}\\\\\text{Hence, the solution is}~ x=-\dfrac{13}2[/tex]
Use inductive reasoning to find the 10th term in the sequence 5, 8, 11, 14, ...
34
32
50
17
Answer: 32
Step-by-step explanation: this is arithmetic sequence
general formula = a+(n-1)d
nth term = 5+(n-1)3
=5+3n-3
=2+3n
10th term = 2+3(10)
=32
A group of students measured the lengths of their shoes. The lengths are listed in the table. Use the table to locate the incorrect data in the line plot.
I think the incorrect data is the second x to the left.
x+y=5
3x-y=7
solve this equation
Which are rational numbers?
Check all that are true. 3/10 3/1 0/3 -191/32 3/456
Check all that are true
NEED ANSWER ASAPPPPP
3/0 and -191/32
lmk if this is wrong, I might be.
Determine the value of x. : A) B) 4 C) 4 D) 8
Select the correct answer. if a coin is flipped 10 times, what is the probability that it will show all heads or all tails? a. b. c. d. e.
Answer:
Step-by-step explanation:
1/2 chance for 1
1/4 for 2
1/8 for 3
1/16 for 4
1/32 for 5
1/64 for 6
1/128 for 7
1/256 for 8
1/512 for 9
1/1024 for 10
Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m 0.02 2.1m = –1.45 – 4.81m
Answer:
Pretty certain it's 100
Which point is located at (3, -1)?
A. point A
B. point D
C. point E
D. point F
Answer:
i think its point D. So that means the answer is B. I think so because if the middle like going side to side is marked first then it must mean the positive is first and so it's point D
7x<5x-16
It’s an inequality question
Answer:
7x <5x-16
Step-by-step explanation:
7x-5x < 5x -16 -5x
For an experiment, Sandra needs 20 grams of a 26% solution of salt. She has two large bottles of salt water: one contains a 20% solution, and the other contains 35% solution. How much of each must she use to make the solution she needs?
The amount of grams that she must use to make the solution she needs are: 12 grams and 8 grams.
Amount of gramsx grams of 20% and 20-x grams of 35%
Hence:
0.20x+0.35(20-x)=0.26×20
0.20x-0.35x+7=5.2
Collect like terms
-0.15x=-1.80
Divide both side by -0.15x
x=-1.80/-0.15
x=12 grams of 20% or 2.4 grams pure
20-x= (20-12) =8 grams of 35% or 2.8 grams pure
Therefore the amount of grams that she must use to make the solution she needs are: 12 grams and 8 grams.
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Drag the expressions to show the order of their quotients from least to greatest
Answer:
by solving the divisions
Step-by-step explanation:
8/9 ÷ 7/11 = 8/9 × 11/7 = 88/63 = 1.4019/12 ÷ 3/10 = 19/12 × 10/3 =190/36 = 5.2819/12 ÷ 1/15 = 19/12 × 15 = 285/12 = 23.758/9 ÷ 3/10 = 8/9 × 10/3 = 80/27 = 2.96.
now from the solutions you can get the least to greatest
1.40 , 2.96, 5.28 and 23.75
After getting answer in decimal form change it to fraction like how they set the question
If the population of
an alien race doubles
every two minutes,
how long will it take
for the population to
grow from 1,000 to 32,000 ?
It will take 32 minutes for the population to grow from 1,000 to 32,000.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If the population of an alien race doubles every two minutes,
1,000 x 32 = 32,000
Hence, It would take 32 minutes.
Learn more about the unitary method;
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7x+16=8x+15 solve for x and y
Answer:
x = 1
Step-by-step explanation:
7x + 16 = 8x + 15
Step 1 : Subtract 15 on both sides
7x + 16 - 15 = 8x
7x + 1 = 8x
Step 2 : Subtract 7x on both sides
1 = 8x - 7x
1 = 1x
x = 1
The area A of a circle is the product of π and the radius r squared
i need written in a algebraic equation
Answer:
A=πr^2
Step-by-step explanation:
A=π*r^2
Where, A is area of circle
r is radius of circle
π is constant
.
Hope it's help and I think I have give brainleist answer
Answer:
πr^2
Step-by-step explanation:
it's just πr^2.
easy
Use mathematical induction to prove
[tex]Prove\ that\ the\ assumption \is \true for\ n=1\\1^3=\frac{1^2(1+1)^2}{4}\\ 1=\frac{4}{4}=1\\[/tex]
Formula works when n=1
Assume the formula also works, when n=k.
Prove that the formula works, when n=k+1
[tex]1^3+2^3+3^3...+k^3+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k+1)^2}{4}+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k^2+2k+1)}{4}+(k+1)^3=\frac{(k^2+2k+1)(k^2+4k+4)}{4} \\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+4k^3+4k^2+2k^3+8k^2+8k+k^2+4k+4}{4}\\\\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+2k^3+k^2}{4}+\frac{4k^3+12k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+6k^3+13k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\[/tex]
Since the formula has been proven with n=1 and n=k+1, it is true. [tex]\square[/tex]
In circle O, ST is a diameter.
Circle O is shown. Line segment S T is a diameter. Line segments R O and U O are radii. Angles R O U and U O T are congruent. The measure of arc R S is (2 x + 8) degrees, the measure of arc R U is (3 x minus 14) degrees, and the measure of arc U T is (3 x minus 14) degrees.
What must be the value of x?
22.0
25.0
25.4
37.2
The value of x must be 25.0. The correct option is the second option- 25.0
Solving Linear equationsFrom the question, we are to determine the value of x
From the given diagram, we can write that
m ∠SOR + m ∠UOR + m ∠TOU = 180° (Sum of angles on a straight line)
∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°
2x° + 8° + 3x° -14° + 3x° -14° = 180°
Collect like terms
2x° + 3x° + 3x° + 8° - 14° -14° = 180°
8x° -20° = 180°
8x° = 180° + 20°
8x° = 200°
x = 200/8
x = 25.0
Hence, the value of x must be 25.0. The correct option is the second option- 25.0
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Answer:
25.0
Step-by-step explanation:
just took it
\
Consider triangle ABC. What is b?
What is the ratio of the area of sector abc to the area of sector dbe? a. b. c. d. e.
The ratio of the area of sector abc to the area of sector dbe is 4/3
How to determine the ratio of the areas?For sector abc, we have:
Angle = x
Radius = 2r
For sector dbe, we have:
Angle = 3x
Radius = r
The area of a sector is:
[tex]Area =\frac{\theta}{360}* \pi r^2[/tex]
So, we have:
[tex]ABC =\frac{x}{360}* \pi (2r)^2[/tex]
Evaluate
[tex]ABC =\frac{x* \pi r^2}{90}[/tex]
For DBE, we have:
[tex]DBE =\frac{3x}{360}* \pi (r)^2[/tex]
Evaluate
[tex]DBE =\frac{x}{120}* \pi r^2[/tex]
The ratio of both areas is:
[tex]Ratio = \frac{x}{90}* \pi r^2 : \frac{x}{120}* \pi r^2[/tex]
Cancel out the common factors
[tex]Ratio = \frac{1}{90} : \frac{1}{120}[/tex]
Express as fraction
[tex]Ratio = \frac{120}{90}[/tex]
Divide
[tex]Ratio = \frac{4}{3}[/tex]
Hence, the ratio of the area of sector abc to the area of sector dbe is 4/3
Read more about sector areas at:
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4/3
its the answer edmentum
A set of 15 students took a math test. The test was out of 50 points and the scores were as followed: 23, 28, 29, 30, 30, 32, 33, 36, 36, 40, 41, 43, 45, 46, 48 1.
Find the Mean test score of the test
2. Find the Standard Deviation of the test 3. Using a Normal Distribution, what is the probability a student scores higher *than a 35 on the test
4. Using a Normal Distribution, what is the probability a student scores between a 30 and 40 on the test?
Answer:
1. 33.6
Step-by-step explanation:
1. Mean = total score/number of tests
= (23+28+29+30+30+32+33+36+36+40+41+43+45+46+48)/15
=33.6
I don't know any of the others, but I hope that this will be helpful :)
Help will name brainliest
[tex]\text{For angle N,}\\\\PQ= \text{Perpendicular.}\\\\QN = \text{Hypotenuse.}\\\\\text{Now,}\\\\\sin N = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\\~~~~~~~=\dfrac{QP}{QN}[/tex]
Drag the correct value into each box on the number line.
To identify the value that goes in each box, we must perform the corresponding operation and calculate the final result.
How to perform a mathematical operation?In mathematics there are procedures such as addition (+), subtraction (-), division (÷), and multiplication (×) to solve problems. These operations are the four basic operations of mathematics.
According to the above, what we must do is identify what operation we must perform with the given numbers and then identify the result and put it in the corresponding box.
Note: This question is missing because there is some information missing. Howeve i can answer it based on my general knowledge.
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1. Use rectangle ABDC below for parts a through d.
15 cm
B
8 cm
C
(a) Calculate the length of each side of the dilated image using a scale factor of 3. Show your work!
(2 pts)
A'B' = |
B'D' =
I
(b) Does the scale factor of 3 create an enlargement or reduction? (1 pt)
(c) Calculate the length of each side of the dilated image using a scale factor of Show your workl
(2 pts)
A'B' =
B'D' =
(d) Does the scale factor of create an enlargement or reduction? (1 pt)
Answer:
see the attachment photo!
Calculate the volume of a cube of length 8 m
Answer:
V =512 m^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 8^3
V =512 m^3
Please help! Giving brainliest!
Answer:
P
Step-by-step explanation:
The middle is the middle of the angle ...point P
25 is added to the product of a number and 2
Answer:
2x + 25
Step-by-step explanation:
Let that number be x.
Step 1 : Multiply x and 2.
x * 2 = 2x
Step 2 : Add 25 and 2x.
2x + 25
Hence,
25 is added to the product of a number and 2 is 2x + 25.