Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Since, the Area of smaller rectangle is 35,
width = 5 ftLet's calculate it's length ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:35 = l \cdot5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 35 \div 5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 7 \: ft[/tex]
And the two rectangles are similar ~ so the ratio of their sides are equal as well ~
Assume length of greater rectangle be x
[tex]\qquad \sf \dashrightarrow \: \dfrac{25}{5} = \dfrac{x}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 35[/tex]
Now, since the length and width of the greater rectangle is known, let's find it's Area ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 35 \sdot25[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 875 \: \: ft {}^{2} [/tex]
So, Area of the greater rectangle is 875 ft²
Related Questions
If:
JT = 22x +9,
CJ = 62 +4, and
CT = 37,
Find JT.
Answers
jt- 22x+9..
It clearly says JT=22X+9
try 22+9..?
Helppppppp meeeeeeeeepleaseeeeee
Answers
Answer:
5600x10=56000
56000=B ten thousands
Answer:
Ten Thousands
Step-by-step explanation:
5,600x10=56000
So the 5 will be in the ten thousand place if u get a chart/
ignore the numbers on the chart
Type the correct answer in the box. use numerals instead of words. a population of beetles increases by 5% every year. if at the start of the year the population is at 10,000 beetles, what will its population be after three years? at the end of the third year the population of beetles will be .
Answers
From the calculations, we can see that the number of beetles after three years is 11618 beetles.
What is an exponential problem?The term "exponential problem" has to do with any problem in which the increase or decrease occurs exponentially.
In this case we have P = Poe^rt
Po = 10,000
r = 0.05
t = 3
P = 10,000 e^(0.05 * 3)
P= 11618 beetles
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Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years? a. $23,706 b. $23,377 c. $52,069 d. $58,944 please select the best answer from the choices provided a b c d
Answers
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$68000\\ P=\textit{original amount deposited}\\ r=rate\to 3.575\%\to \frac{3.575}{100}\dotfill &0.03575\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &30 \end{cases}[/tex]
[tex]68000=P\left(1+\frac{0.03575}{4}\right)^{4\cdot 30}\implies 68000=P(1.0089375)^{120} \\\\\\ \cfrac{68000}{1.0089375^{120}}=P\implies 23377\approx P[/tex]
Answer: Is (B) 23,377
Step-by-step explanation:
Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years?
a.
$23,706
b.
$23,377
c.
$52,069
d.
$58,944
Please select the best answer from the choices provided
A
( B )
C
D
Ill give brainless to whoever can help me with this problem
Answers
Q’ = (-8, -4)
R’ = (-2, -4)
S’ = (-2, 4)
T’ = (-8, 4)
Hope this helps.
Which is a set of collinear points?
A) G, H, I
B) L, H, I
C) G, H, J
D) G, I, J
Answers
PLEASE HELP ASAP PLEASEEEE
show calculations: √(x^2-8x+16) if x≥4
Answers
Answer:
If we square both sides then we get
x2-8x+16 = (x-4)2
Now if we expand the right side of the equation we get
x2-8x+16 = (x-4)(x-4)
x2-8x+16 = x2-8x+16
So no matter what x is, the right side will be equal to the left side.
However, if we look at the original equation on the left side, √(x2-8x+16) , the value under the square root symbol has to be greater than or equal to zero (otherwise we get an imaginary number and you might not be working with those yet)
Step-by-step explanation:
So in order for √(x2-8x+16) to be greater than or equal to zero, x has to be greater than or equal to 4. If x is less than 4 you get a negative number. If x is greater than 4, you'll get the same answer on both sides no matter what x is
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 4x - 4x + 16} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{} (x - 4) - 4(x - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 4)(x - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 4) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: x - 4[/tex]
Now, it's given that ~
[tex]\qquad \sf \dashrightarrow \:x \geqslant 4[/tex]
plug the value of x as 4 :
[tex]\qquad \sf \dashrightarrow \:4 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \:0[/tex]
So, we can infer that :
Value of the required expression lies in :
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} \geqslant 0[/tex]
it's value is always greater than pr equal to 0, satisfying the given condition ~
1. Find the vertex, (x, y) x-value is the number inside the brackets, but take the opposite of its; y-value number outside at the back of the bracket: (4,8)
Answers
Answer:
9y(c=7) witch means the answer is 8,6
Step-by-step explanation:
I took it and got 5 out of 5 right ✅
Find the measure of all sides. Round to the nearest tenth.
Answers
Answer:
the value of x=9 and AB(h)=9.396
is 2-3y a binomial or a trinomial or polynomial or monomial
Answers
Answer:
binomial
Step-by-step explanation:
i learned about binomials
Which graph shows the solution to the system of linear inequalities?
2x – 3y <12
y < –3
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
Answers
Since the graph was not given, answer will be subjective. The graph that shows the solution to the system of linear inequalities of 2x – 3y <12 y < –3 is the one that has It is option B.
What is linear inequalities?A linear inequality is said to be a kind of an inequality that entails a linear function.
Note that a linear inequality is said to be made up of one of the symbols that connote inequality. It is the one that depicts the data that is not equal on a graph.
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Answer:
The correct answer is Graph B
Step-by-step explanation:
Hope this helped you!If it did hit that Brainliest button!
What is 70% of 30? Question 4 options: A 7 B 15 C20 D 21
Answers
Answer:
Last option, 21Step-by-step explanation:
I calculated it.
Answer:
the answer is 21
21
which graph corresponds with the equation [tex]f(x)=\frac{1}{2 } (x+1)^{2} +2[/tex]
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.
And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.
From the above information, we can easily conclude that the Correct representation is done in graph 4
I need a genuine answer. Don't answer if you don't know. Need a proper explanation.
Answers
Answer:
Step-by-step explanation:
If m and n are both 1 then
Minimum value = 10^(1+1) * 3^(1-1) * 225
= 325.
If m and n have to be different, then m = 2 and n = 1
Minimum value = 10^3 * 3^1 * 15^2
= 675,000.
If m >= n then N will also be natural which is a subset of rational numbers.
If m < n then 3^(m - n) will be less than 1 and N will need to be written as a fraction, which are still rational.
The minimum values for both m and n are 1 by definition.
Translate the phrase into an algebraic expression.The product of 4 and b
Answers
Answer:
the answer is 4×b=4b
Step-by-step explanation:
product=×
4×b=4b
PLEASEEEEE
Match the expressions with their simplified versions.
Answers
Answer:
1. [tex]\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}[/tex]
2. [tex]\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}[/tex]
3. [tex]\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}[/tex]
4. [tex]\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}[/tex]
Step-by-step explanation:
The Radical Rules by Lial et al. (2017) state that:
Product rule: [tex]\large \textsf{$\sqrt[n]{a}\cdot\sqrt[n]{b}=\sqrt[n]{ab}$}[/tex]
"The product of two roots is the root of the product."Quotient rule: [tex]\large \textsf{$\sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}$}\ \ \textsf{$(b \neq 0)$}[/tex]
"The root of a quotient is the quotient of the roots."1.
[tex]\implies \normalsize \textsf{$4\sqrt{2}\cdot\sqrt{2}$}\\\\\normalsize \implies \textsf{$4\sqrt{2\cdot2}$}\\\\ \implies \normalsize \textsf{$4\sqrt{4}$}\\\\ \implies\normalsize \textsf{$4\cdot 2 = 8$}[/tex]
[tex]\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}[/tex]
2.
[tex]\implies \normalsize \textsf{$3\sqrt{7}-2\sqrt{7}$}\\\\ \implies\normalsize \textsf{$(3-2)\sqrt{7}$}\\\\ \implies\normalsize \textsf{$1\sqrt{7}$}\\\\ \implies\normalsize \textsf{$\sqrt{7}$}[/tex]
[tex]\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}[/tex]
3.
[tex]\implies \normalsize \textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1}{2}$}\\\\[/tex]
[tex]\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}[/tex]
4.
[tex]\implies \normalsize \textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}\\\\ \implies\normalsize \textsf{$2\cdot2\sqrt{5\cdot5}$}\\\\ \implies \normalsize \textsf{$4\sqrt{25}$}\\\\ \implies \normalsize \textsf{$4\cdot5=20$}\\\\[/tex]
[tex]\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}[/tex]
Reference:
Lial, M., Hornsby, J., Schneider, D., & Daniels, C. (2017). College Algebra and Trigonometry, Global Edition (6th ed., p. 94).
h(n)=63⋅(− 3 1 ) n h, left parenthesis, n, right parenthesis, equals, 63, dot, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis, start superscript, n, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.
Answers
The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
How to complete the recursive function?The function is given as:
[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]
Set n to 0
[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]
Evaluate
h(0) = 63
This means that the function h(n) has the following parameters:
First term = 63
Rate = -1/3
Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
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can someone please help me solve these questions i need them for school
Answers
ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.
What are Perpendicular lines?A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.
Lines EG and FG are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD
Lines JK ≅ HL because they are both created by parallel lines JL and HI.
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help asap????????!!!
Answers
Answer:
................
Step-by-step explanation:
Need some help, thanks in advance!
Answers
Answer: = 3 acres per day
Showing Work
This is a fraction equal to
3 acres ÷ 1 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
3 acres ÷ 1
__________
1 days ÷ 1
=
3 acres
_____
1 day
=
3 acres
______
day
= 3 acres per day
LOOK AT THE PICTURE BELOW PLEASE!
Answers
Answer:
50
Step-by-step explanation:
Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).
Which expression calculates the time in hours and object takes to travel 38 miles at the speed of 2 m/h?
38/2
38—2
38+2
38 • 2
Answers
Reason:
Distance = rate*time
time = distance/rate
time = (38 miles)/(2 mph)
time = 38/2 hours
time = 19 hours
PLLLLEASE help- geometry
Answers
Answer: Reflection, translation
Step-by-step explanation:
PLEASE PLEASE HELP ME
Answers
A rhombus is a quadrilateral whose all sides are of equal length. The measure of the ∠QPR is 42°.
What is a Rhombus?A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.
The diagonals of a rhombus intersect each other at 90°. Therefore, the measure of ∠QTR can be written as,
∠QTR = 90°
(6y+6) = 90°
6y = 90 - 6
6y = 84
y = 14
Also, the diagonals of the rhombus divide the angle into two equal angles, therefore,
∠QPR = ∠SPR
∠QPR = 3y
∠QPR = 3(14)
∠QPR = 42°
Hence, the measure of the ∠QPR is 42°.
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Version B
We have worked with Ferris Wheels above
ground, but what if a portion of it went
underground and traveled in a clockwise
direction?
Details;
The Ferris Wheel has a diameter of 80
ft
The Ferris Wheel center is 20 feet
below the ground
The Ferris Wheel rotates in a clockwise
direction
The rider enters on ground level on
the right side of the wheel.
It takes 1 minute for 1 ½ rotations.
Your task:
Sketch a diagram that showcases this
scenario with labels and
measurements.
Determine the angular speed.
Develop an equation for the height of
the rider while on the ride.
Construct a graph (height vs. time).
Make sure both axes are labeled with
all landmark points.
Provide a statement, explaining the
relationship between your graph and
the rider's position on the wheel.
When will they be above ground and
below?
Calculate the rider's total distance
traveled from the moment they get on
at ground level on the right to the
other point on ground level on the left
where they get off.
Answers
An example of how to sketch the Ferris Wheel diagram is given in the image attached.
What is the angular speed about?To solve for the angular speed, you can use the formula of"
Given that the diameter is 80 feet, so we know the radius will be 40 feet.
The Ferris wheel bottom is 20 feet high, so we add the radius we get that the middle of the Ferris wheel is 60 feet high.
Finally, the Ferris wheel completes 1 ½ rotation (2π radians) in 1 minutes. So we say that the Ferris wheel is said to spins at π rad/min.
Angular velocity ( 1 ½ rev/1min)( 1min/60 sec)
C = 2π(60)
C ≈ 377.04 feet
540 revolution (1 ½ rotations) is 60 seconds, the speed is then
s = d/t
s = 377.06 ft / 60 sec
s = 6.28 ft/sec
To plot the graph, the final equation will be h(t) = 40sin(πt + π/2) + 60.
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In a class of 34 students
12 study German
• 25 study Spanish
6 do not study either language.
One student in the class is selected at random.
Find the probability that this student studies both languages.
Answers
Answer:
Step-by-step explanation:
In the circle below, stack A D with bar on top is a diameter and stack A B with left right arrow on top is tangent at A. Suppose m stack A D C with overparenthesis on top equals 224 degree.
Find the measures of m angle C A B and m angle C A D. Type your numerical answers (without units) in each blank.
m angle C A B =
64
degree
m angle C A D =
26
degree
A circle with a diameter labeled A D, chord A C. A line tangent to the circle at E and that goes through point B on the outside of the circle.
Answers
The measure of angle ∠CAB will be 68 degrees and the measure of angle ∠CAD will be 22 degrees.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.
Then the measures of m angle ∠CAB and m angle ∠CAD will be
Then we have
We know that
mADC = mAD + mDC
224° = 180° + mDC
mDC = 44°
Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have
2 ∠CAD = 44°
∠CAD = 22°
Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have
∠CAB + ∠CAD = 90°
∠CAB + 22° = 90°
∠CAB = 68°
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In this figure: the value of “y” that makes the quadrilateral “A B C D” a parallelogram is:
Answers
Answer:
y = 10
Step-by-step explanation:
if the figure is to be a parallelogram, then
∠ ACB and ∠ DAC are alternate angles and are congruent , that is
5y - 13 = 7 + 3y ( subtract 3y from both sides )
2y - 13 = 7 ( add 13 to both sides )
2y = 20 ( divide both sides by 2 )
y = 10
Geri built a pencil box in the shape of a right rectangular prism. the amount of space inside of the box is 176 cubic inches. what is the height of geri’s pencil box? a rectangular prism with a length of 8 inches, width of 11 inches, and height of question mark. 2 inches 4 inches 8 inches 9 inches
Answers
The height of the pencil box is 2 inches
How to determine the height of the pencil box?The given parameters are:
Volume = 176
Length = 8
Width = 11
The height of the pencil box is calculated using
Height = Volume/(Length * Width)
So, we have:
Height = 176/(8 * 11)
Evaluate
Height = 2
Hence, the height of the pencil box is 2 inches
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Answer:
2 Inches
Step-by-step explanation:
Good Luck
What is the answer please?
Answers
Answer: D (bottom option)
Not Congruent
Step-by-step explanation:
Assuming the trapezoids are to scale, they are not the same shape. This means that they could not be congruent even if they were centered on top of each other.
