Answer:
The length of the rectangle is 12 inches.
Step-by-step explanation:
Let the length and width of the rectangle be represented as l and w respectively.
Thus,
l = 2w+ 4
area = 48 square inches
So that,
Area of a rectangle = l x w
48 = (2w + 4) x w
= 2[tex]w^{2}[/tex] + 4w
2[tex]w^{2}[/tex] + 4w - 48 = 0
Divide through by 2 to have;
[tex]w^{2}[/tex] + 2w - 24 = 0
([tex]w^{2}[/tex] - 4w) (6w - 24)
w(w - 4) + 6(w - 4)
Thus,
(w - 4) or (w + 6)
w - 4 = 0 or w + 6 = 0
w = 4 or w = -6\
Therefore, the width of the rectangle is 4 inches. Then,
length, l = 2w + 4
= 2 (4) + 4
= 12 inches
The length of the rectangle is 12 inches.
hii someone pls help me, I’m confused
Answer:
A, B, and D
Step-by-step explanation:
A, B, and D
Answer:
m²+m²+m²+m²
m⁸
4m²
Step-by-step explanation:
The equation is basically asking what is the same as m² times 4
Solve this polynomial equation by rearrranging it in the correct order:
23 + 3x2 = 10.2
1. x = 0, x = -2, x = 5
1 2. 23 + 3x2 – 10x = 0
13. x = 0, 3 – 2=0, x + 5 = 0
1 4. x(x − 2)(x+5) =
15. z (x² + 3x – 10) = 0
Answer:
1. x = 0
12. x = 3
13. x = 0
14.
Find the area of the figure.
9514 1404 393
Answer:
7 square inches
Step-by-step explanation:
We take the "3 in" dimension at the left to be the length of the line segment below the 1" square, so the height of the right triangle is 3+1 = 4 in.
The triangle area is ...
A = 1/2bh
A = 1/2(3 in)(4 in) = 6 in²
The square area is ...
A = s²
A = (1 in)² = 1 in²
Then the total area of the figure is ...
1 in² + 6 in² = 7 in²
A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inches. How many softballs with a diameter of 3.8 inches will fit into the container? Use the drop-down menus to explain your answer.
Answer:
3
Step-by-step explanation:
If anyone knows the answer to this question please help!
7th grade math
Answer: 54°
Step-by-step explanation:
We can see that this triangle is a right triangle (look at the little square in the triangle's corner-- that tells us that it's a right angle). A right angle is 90°
A triangle always has 180° in total.
So, we can add 90° and 36° and subtract the sum from 180°
180° - (90° + 36°) = 180° - 126° = 54°
Answer:
x = 54
Step-by-step explanation:
One of the properties for any triangle is that the sum of angles in the triangle will always equal 180 degrees. As one can see, one of the angles is (90) degrees, this is indicated by the box around the angle. It is given that one of the other angles is (36) degrees. One can call the unknown angle (x) and form an equation. Substitute in the given values and solve for (x).
(90) + (36) + (x) = 180
Simplify,
126 + x = 180
Inverse operations,
126 + x = 180
-126 -126
x = 54
1.
Write y = x2 - 4x – 5 in the form y = (x + h) + k
Someone please help meee
Answer:
y = (x - 2)² - 9
Step-by-step explanation:
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 - 5
y = (x - 2)² - 9
PLEASE HELP ME ASAP!!! Alex has 64 cubes with dimensions in feet like the one shown. (1/2 ft). He uses all the cubes to fill a box shaped like a larger rectangular prism. What is the volume, in feet, of the larger rectangular prism?
Answer: MARK AS BRAINLIST PLZ:)
A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
Step-by-step explanation:
HOPE IT HELPS BRAINLIST
30 Points
Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in, high. Her paper is 12 in, wide and 24 in. tall. She decides to use the scale 1 in. = 4
in. Is this a reasonable scale?
Step-by-step explanation:
1:4=.25 or 25%
so 12/47=.25 or 25%
24/120=.2 or 20%
that ratio does not match the height ratio
Sarah's scale is reasonable.
What is a scale drawing?
A scale drawing is a smaller diagram in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension.
Is Sarah's scale reasonable?The first step is to determine the how larger the paper is in terms of the painting.
48 / 12 = 4
120 / 24 = 5
This makes her scale of 1 in to 4 in reasonable.
To learn more about scale drawings, please check: https://brainly.com/question/26388230
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 243 cubic units.
What is the height of the cylinder?
2 units
4 units
6 units
8 units
Answer: C 6 units
Step-by-step explanation: Edg
heyy! i’ll give brainliest please help.
Answer:
The first answer is correct I believe
Step-by-step explanation:
A soup can has a diameter of 4 inches and the height of the can is 7 inches. Desiree needs to design a label for the soup can. Approximately how many square inches does the label take up?
Answer:
87.96 square inches
Step-by-step explanation:
The soup can is a cylinder, and we can find how many square inches the label will take up by finding the lateral surface area
Use the formula, LA = 2[tex]\pi[/tex]rh
The diameter is 4 inches, so the radius is 2 inches
Plug in the radius and height into the formula, and solve:
LA = 2[tex]\pi[/tex]rh
LA = 2[tex]\pi[/tex](2)(7)
LA = 28[tex]\pi[/tex]
= 87.96
So, the label will take up approximately 87.96 square inches
what is the value of 100 3/2
Hint: its not 203/2 or 101.5
its was 101.5 try it that's the answer
Rita has a number cube and a letter cube. The number cube is numbered 1 through 6. The letter cube is lettered A through F. Rita will roll each cube once. What is the probability that she rolls an odd number with the number cube and a vowel with the letter cube? I
A 2/3
B 1/6
C 1/3
D 1/4
use circle C
classify arc NO in circle C
Answer:
a. minor arc
stay safe healthy and happy.Point A(2, 5) is dilated from the origin with scale factor 3 , resulting in point A′ . Darius says the coordinates of point A′ are (6, 15) . Marcia says the coordinates of point A′ are (4, 13) . Who is correct?
Answer:
It actually doesn't matter! The key thing is that the dilation value affects the distance between two points. As in the first example (dilation by a factor of 3), A is originally 1 unit down from P and 2 units to the left of P.
1*3 = 3, so A' (the dilated point) should be 3 units down from P.
2*3 = 6, so A' should be 6 units to the left of P.
It doesn't matter if you go left first or down first, because you always determine the location of A' with respect to P based on the location of A (which doesn't move) with respect to P.
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!Which scenario could be represented by the algebraic expression n minus 13?
Ariel wants to find the difference of a number and 13.
Ariel wants to find the product of 13 and a number.
Ariel wants to find the sum of a number and 13.
Ariel wants to find the difference of 13 and a number.
Answer:
The first. Ariel want to find the difference of a number and 13.
Answer:
A. Ariel wants to find the difference of a number and 13.
Step-by-step explanation:
How many ways can you arrange the letters in the word Vacuum?
Answer:
The answer is 360 ways
Step-by-step explanation:
Answer:
720 arrangements
So the six letters can be a combination of 6×5×4×3×2×1 letters or 720 arrangements.
Step-by-step explanation:
need help asap! giving brainliest!!
Answer:
c = 8.6
Step-by-step explanation:
a² + b² = c²
The length in x is 7
The rise in y is 5
7² + 5² = c²
49 + 25 = c²
74 = c²
Take the square root of both sides
c = 8.602325267
Rounded
c = 8.6
Which equation describes the line that contains the points (7, 17) and (15, 33)?
Answer:
c bc it describsj7jndifkrk shdhitm
Select the correct answer from the drop-down menu.
Astronomers have estimated that our cosmos contains approximately 50,000,000,000 galaxies. This number can be expressed in scientific notation as
1. 5E-10
2. 5E10
3. 5E-9
4. 5E9
Answer:
Second option: 5E 10 = 5*10^(10) galaxies.
Step-by-step explanation:
The exponential notation is used as:
AE N
This is equal to:
A*10^(N)
And we need to add N zeros to the right of A.
While if we had:
AE - N
A*10^(-N)
We need to add N - 1 zeros at the left of A.
Now we have the number:
50,000,000,000
Let's count the number of zeros at the right of the 5, we have 10 zeros.
Then we would write this as:
5*10^(10)
OR
5E 10
Then the correct option is the second one.
Answer:
2. 5E10
Step-by-step explanation:
Find the values of x and y write your answers in simplest form.
5. A number or symbol multiplied with a variable
Answer:
Coefficient
Step-by-step explanation:
How do i solve problems like this
Answer:
x = - 2
Step-by-step explanation:
Emery looks out their apartment window to the building across the way. The building isknown to be 42 feet tall. The angle of depression from Emery's window to the bottom of the buildingis 27◦, and the angle of elevation to the top of the building is 23◦. Find Emery's distance x from thebuilding across the way.
Answer:
[tex]x=44.5ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height [tex]h=42ft[/tex]
Angle of depression [tex]\theta=27\textdegree[/tex]
Angle of Elevation [tex]\alpha=23 \textdegree[/tex]
Generally the equation for the vertical distance between Emery's distance x and the bottom of the building is mathematically given by
Since the angle of depression and elevation are given as
27 and 23 respectively
Therefore
Emery's view of the 42 ft building is
[tex]\gamma=23+27[/tex]
[tex]\gamma=50 \textdegree[/tex]
Therefore Emery's distance x to the base of the building h' is
[tex]h'=\frac{27}{50}*42[/tex]
[tex]h'=22.68ft[/tex]
Generally the Trigonometric equation for Emery's distance x is mathematically given by
[tex]x=\frac{h'}{tan\theta}[/tex]
[tex]x=\frac{22.68}{tan 27}[/tex]
[tex]x=44.5ft[/tex]
por qué la triangulación con dos diagonales en un rectángulo no es adecuada para calcular el
área del rectángulo y calcular la suma de los ángulos internos del rectángulo
Answer:
rfgcc ft v crytrcvrcvhtfvyrfftv ffg
Step-by-step explanation:
tgfgghcg gn v v
Please answer all questions please help fast and have a great night!
Answer:
1. is 4
Step-by-step explanation:
im not sure about 2 im sorry
I need help with Question 9 ?
Answer:
x/6 = 3/2
Step-by-step explanation:
help me with this math question please I'm giving away brainliests
Answer:
horiz = 5
vertic = 2
y inter =13/2
x inter =13/5
Step-by-step explanation:
A circle is inscribed in a square, as shown in the figure below. The length of
a side of the square is 10 . What is the area of the circle?
Answer:
78.5 cm^2
Step-by-step explanation:
the circle's diameter is 10cm --> its radius is 5cm
the area of the circle is 5^2 x 3.14 = 78.5cm^2
The area of circle is [tex]25\pi[/tex] square units.
What is the formula for area of circle?
The area of a circle is given by [tex]\pi r^{2}[/tex] where r is the radius of the circle.
What is the area of given circle?The given circle is inscribed in a square. so, the side length of the square will be the diameter d of the circle.
So, d=10.
Divide diameter d by 2 to get the radius of the circle.
[tex]r=\frac{10}{2}[/tex]
So, r=5.
Substitute 5 for r into the formula of area of circle.
[tex]\pi \cdot5^{2}=25 \pi[/tex]
Therefore, the area of circle is [tex]25\pi[/tex] square units.
Learn more:https://brainly.in/question/25490087
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Nina paid the bill for dinner with her family. The total cost of the food was $65, and the restaurant added an 8 percent sales tax, $5.20, to the bill. Nina wants to pay a 15 percent tip on the total bill including sales tax. What is the amount of the tip?
Answer:
$80.73
Step-by-step explanation:
You add $65 and $5.20, which gives you $70.20. Then you divide $70.20 by .15 which gets you $10.53. Then you add $70.20 and $10.53 which gives you the total, $80.73
Answer:
$10.53
Step-by-step explanation:
i did the test