The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.
What is the Area of a Square?Area of a square = s², where s is the side length of the square.
1 square = 2(areas of triangles)
1 square = 2(0.18)
1 square = 0.36 units²
s² = 0.36
s = √0.36
s = 0.6 unit.
Length of the side of the square = 0.6 unit.
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Is 5 + 3(1 - x) equivalent to 8 - 8x?
Answer:
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Step-by-step explanation:
To see if they are equivalent to each other, we first need to simplify the first expression:
5 + 3(1 - x)
Distribute the 3 into the parenthesis:
5 + 3 -3x
Combine like terms:
8 - 3x
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
(show ur work) You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
answer choices
$8 per pound
$35 per pound
$5 per pound
$0.125 per pound
Answer:
8 dollars per pound
Step-by-step explanation:
40 divided by 5 will give you the $/lb
40/5=8 so its $8/lb
What are the zeros of g(x) = x(x2 – 25)(x2 – 3x – 4)?
Answer:
The zeros are -5, -1, 0, 4, 5.
Step-by-step explanation:
x(x2 – 25)(x2 – 3x – 4) = 0
x(x - 5)(x + 5)(x + 1)(x - 4) = 0
so either x or the other 4 factors can be 0 :
x = 0, x - 5 = 0, x + 5 = 0, x + 1 = 0 or x - 4= 0, giving:-
x = 0, 5, -5, -1, 4.
just more and more of these.
⇒ ANSWER : x = 0, x = 5, x = -5, x = 4 and x = -1
EQUATION GIVEN: g(x) = x(x2 – 25)(x2 – 3x – 4)
1) factorize the equation
g(x)=x(x-5)(x+5)(x²-3x-4)
2) expand the equation
g(x)=x(x-5)(x+5)(x²+x-4x-4)
3) factorize
g(x)=x(x-5)(x+5)(x(x+1)-4(x+1))
4) factor out x+1
g(x)=x(x-5)(x+5)(x-4)(x-1)
5) equate to 0
x(x-5)(x+5)(x-4)(x+1)=0
6) solve for x
x = 0, x = 5, x = -5, x = 4, x = -1
Pain.
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. if lucas been able to save this money for the year and then put it into a savings account earning 1.8% simple interest, how much money could he have in savings after 3 more years? a. $1,649.72 b. $1,055.10 c. $1,019.06 d. $1,001.04
The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{Prt}{100}[/tex]
Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,
[tex]P=83.42\times12\\P=1001.04[/tex]
The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,
[tex]I=\dfrac{1001.04\times1.83}{100}\\I=54.06[/tex]
The total total amount in his bank account after 3 years is,
[tex]A=P+I\\A=1001.04+54.06\\A=1055.10[/tex]
Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
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Answer:
b.
$1,055.10
Step-by-step explanation:
right on edg 22
You fill the entire fish tank with water. Then you dump out some of the water. The volume of the water in the tank decreases by 96 cubic inches. How deep is the water now? (The height is 12 inches, the base is 48)
Answer:
1. 6/10 – 2/5 =
Ans: 2/10, which can be reduced to 1/5.
2. If a tank is 5/8 filled with solution, how much of the tank is empty?
Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that
means 3/8 of it remains empty.
3. 1/2 x 3/5 x2/3 =
Ans: 6/30, which can be reduced to 1/5.
4. 5/9 ÷ 4/11 =
Ans: 55/36. You cannot reduce this fraction any further.
5. Convert 27/4 to a decimal.
Ans: 6.75. This answer is arrived at by dividing 4 into 27.
6. Convert 0.45 to a fraction.
Ans: 45/100, which can be reduced to 9/20.
7. 4.27 x 1.6 =
Ans: 6.832
8. 6.5 ÷ 0.8 =
Ans: 8.125
9. 12 + 4.52 + 245.621 =
Ans: 262.141
Step-by-step explanation:
I hope this helps
Pat was in fishing competition at lake Pisces
Answer:
Hello! Your Question seems to be Incomplete but if you didn't mean to make it that way. I will be Happy to answer it If you repost It. Thanks !
Step-by-step explanation:
Have a good day!
A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.
Area ≈
square units
Using the Heron's formula, the area of the parallelogram is 36.7 square units.
How to use Heron's formula?Heron's Formula = √[s(s - a)(s - b)(s - c)],
where,
a, b, and c = side of the triangles = semi perimeter of the triangleArea of the parallelogram = 2(area of triangle)
Therefore,
The area of the triangle can be found using Heron's Formula
a = 5 units
b = 8 units
c = 11 units
s = 5 + 8 + 11 / 2 = 12 units
area of triangle = √[12(12-5)(12 - 8)(12 - 11)]
area of triangle = √12 × 7 × 4 × 1
area of triangle = √336
area of triangle = 18.3303027798
area of triangle= 18.33 units²
Therefore,
area of parallelogram = 2(18.33) = 36.6606055596
area of parallelogram = 36.7 unit²
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The correct answer is 36.7 square units
Math
ratio in simplest form. 300, 30,3,
Answer:
100,10,1
dividing by 3 we get the above answers
A farmer needs to construct a square fence with an area of 121 square feet to hold farm animals. how long does each side of the fence have to be to fulfill his 121 square foot requirement?
Answer:
The side length of the square is 11 feet.
Step-by-step explanation:
Let S = side length
Let A = area
[tex]A = S^{2}\\121 = S^{2}\\\sqrt{121} =\sqrt{S^{2} } \\S = 11[/tex]
I need this answered
g(x)=4x+4
[tex]\:\boxed{\bf{Table}}\:\:\:\\ \boxed{\begin{array}{c|c}{\boxed{\bf x}}&{\boxed{\bf{g(x)}}}\\ \sf -1 &\sf 0\\ \sf 0&\sf 4 \\ \sf 2&\sf 12 \\ \sf 3&\sf 16 \\ \sf 4 &\sf 20\end{array}}[/tex]
HELP ASAP PLS the area of the circle is 64 pi square cm what is the radius of the circle in cm
Answer:
8cm
explanation:
let radius of circle be r
area of circle = 64π cm^2
π×r^2=64π
r^2=64 (cancel out π from both side)
r=√64 ( square root both side to remove the power from r)
r=8 cm
4. Sebastian's lemonade recipe uses 4 cups
of water and 1 cup of lemon concentrate.
What is the percentage of the lemonade
recipe that is lemon concentrate,
What is the answer elmo wants it
[tex]\bold{Heya!}[/tex]
→ Answer :-[tex]\sf{= 10}[/tex]
→ EXPLANATION :-Convert mixed numbers to imporved fractions: [tex]\sf{3 \frac{3}{4} = \frac{15}{4}[/tex]
[tex]\sf{= \frac{15}{4}[/tex] ÷ [tex]\sf{\frac{3}{8}[/tex]
Apply the fraction rule: [tex]\sf{\frac{a}{b}[/tex] ÷ [tex]\sf{\frac{c}{d} = \frac{a}{b} \: x \: \frac{d}c}[/tex]
[tex]\sf{= \frac{15}{4} \: x \: \frac{8}{3}[/tex]
Multiply fractions: [tex]\sf{\frac{a}{b} \: x \: \frac{c}{d} = \frac{a \: x \: c}{b \: x \: d}[/tex]
[tex]\sf{= \frac{15 \: x \: 8}{4 \: x \: 3}[/tex]
Multiply the numbers: [tex]\sf{ 4 \: x \: 3 = 12}[/tex]
[tex]\sf{= \frac{110}{12}[/tex]
Divide the numbers [tex]\sf{\frac{120}{12} = 10[/tex]
[tex]\sf{= 10}[/tex]
Hopefully This Helps! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
Which graph represents the solution to 7x < 21 or 6x – 9 > 21?
3
4
5
6
8
+
6
3
-2
-1
0
1
2
3
4
3
7
8
de
7
6
-5
4
3
-2
0
1
2
4
5
6
7
8
2
-1
0
1
2
6
Answer:
3 and 2 is the right answer and others are rongh
In a diagram showing two parallel lines cut by a transversal, the measure of two same-side interior angles are both given as 5x°.
Without writing and solving an equation, can you determine the measures of both angles? Explain.
Because same-side interior angles are , and because these two angles are equal, each angle must be one-half of °, or each angle must have a measure of °.
Please help fast I’ll give Brainy
Answer:
See below.
Step-by-step explanation:
Because same-side interior angles are supplementary, and becasue these two angles are equal, each angle must be one-half of 180°, or each angle must have a measure of 90°.
What is the equation of the line that has a slope of -2 and passes through the point (1,2)
Jon is taking a 625 mile trip. On the first day, he drove 183 miles.
How many more miles does he have to drive?
part b
Type and solve an equation to find how many more miles Jon has left to drive.
part A Verify your solution.
Part A: Jon has 442 miles left to drive.
ex: 625 - 183 = 442
What to do: Complete each of the following problems involving ladders and walls by using trigonometric functions and inverse trigonometric functions to determine unknown lengths and angle measures.
Questions:
a) A ladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
b) A 15 foot ladder is leaned against a wall so that the bottom of the ladder forms a 75 degree angle with the ground. How far up the wall does the ladder reach?
c) You need to paint shutters on a window that is on the second floor of your house. You have a 20 foot ladder that you will use. There is a warning on the ladder that states the angle formed by the ladder and the ground must not be less than 70 degrees, or the ladder may slip and cause serious injury or death. You planned on placing the bottom of the ladder 3 feet from the base of the house.
Will the angle formed between the ground and the ladder be safe? What is the furthest possible distance the ladder can be placed to maintain a safe angle?
How you must answer:
- Sketch:
-We know:
-We want
-Rationale: Which ratio will you use and why?
-Solution
How do you answer:
= you must include an accurate sketch
= a statement identifying the known information - we know
= a statement that tells what you are solving for - we want
= the equation you used to solve the problem
Answer:
Step-by-step explanation:
a) x be the height of the wall
[tex]tan \ 14 =\dfrac{opposite \ side}{adjacent \ side}\\\\\\0.2493 = \dfrac{3}{x}\\\\\\x*0.25 = 3\\\\x = \dfrac{3}{0.25}\\\\\\x = 12 ft[/tex]
b) Let y be the hieght of the wall
[tex]Sin \ 75 = \dfrac{opposite \ side}{hypotenuse}\\\\\\0.9659 = \dfrac{y}{15}\\\\\\0.97*15=y\\\\[/tex]
y = 14.6 ft
c) Let the angle formed between the bottom of the ladder to the ground be 'x'
[tex]Cos \x =\dfrac{adjacent \side}{hypotenuse}\\\\Cos \ x =\dfrac{3}{20}\\\\\\Cos \x = 0.15\\\\x = Cos^{-1} \ (0.15)\\\\[/tex]
x = 81°
No, the angle formed between the ground and the ladder is not safe as it is more than 70°
Let the farthest possible distance ladder placed from the wall be 'y'
[tex]Cos \ 70 =\dfrac{adjacent \ side }{hypotenuse}\\\\0.342 = \dfrac{y}{20}\\\\0.3*20=y[/tex]
y = 6 ft
6 ft is the furthest possible distance the ladder can be placed to maintain a safe angle.
which name gives the most information about the shape below
Rhombus
Trapezoid
quadrilateral
Parallelogram
Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
Answer: there iis none so cose zero
Step-by-step explanation:
Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
7 whole number 2/3 -4 5/6 + 2 3/8
a contractor hires 150 men to pave Philip Goldson highway in 30 days. How many men will he hire to do the same work in 20 days?
Answer:
225 men
This conversion leads to the answer:
30 days → 150 men1 days → (150 *30) men1 days → 4500 men20 days → (4500/20) men20 days → 225 menThe average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7. What number is left out? B8 C 10 A 7 D 12
The left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the number of sum is x when mean is 8
[tex]\rm \dfrac{x}{5} = 8[/tex]
x = 40
Now one number is left out, mean become 7 let's suppose the sum is y.
[tex]\rm \dfrac{y}{4} = 7[/tex]
y = 28
So, the number = 40 - 28 = 12
Thus, the left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
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Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 26 miles, what percentage of the trip’s distance have they completed?
Group of answer choices
The speed of light is 299,792.458 .
Which of the following would be a reasonable estimate for the speed of light?
A.
B.
C.
D.
Answer:
a
when you round the number up it becomes 300,000.00
The tree diagram represents an experiment consisting Of two trials. . 3,. 7,. 2,. 8 p(D)
Please help
Answer:
0.65
.6 x .5 + .7 x .5 = 0.65
Step-by-step explanation:
The major key with 2 flats is the key of _____. f major e♭ major a♭ major b♭ major *subject is music*
The major key with 2 flats is :
B♭ major
Answer:
The key of B♭ major has two flats
Step-by-step explanation:
An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.
Hope this helps
~Heaven~
Malini answered 68 problems on a test correctly and received a grade of 80%. How many problems were given on the test, if all problems carried the same number of marks?
Answer:
Below in bold.
Step-by-step explanation:
80% is equivalen to 68 correct answers
1% .. .. .. 68/80 ..
100% ,, ,, ,, (68/80) * 100 = 85 questions.
how many seconds does it take the second hand of a clock to rotate through an angle of 72
each minute pass by, the second hand rotate 360 degrees while minute hand rotate 6 degrees= 1/60 angle rotation of second hand. Let assume that the starting time is 12:00 hour, zero minute and zero second exactly .
by this simple method you can figure out your answer that what actually it is.
GOOD LUCK !
the quotient of 40 and 5
Answer:
8
Step-by-step explanation:
Taking the quotient of two numbers means you are dividing one by the other. In this case, 40 is the dividend, and 5 is the divisor. This gets you 40/5=8 as the quotient.
If you multiply the quotient with the divisor, you get the dividend, as 8*5=40
