By using the given condition, the length of the rectangle is 6 units.
It is given that
Area of the rectangle = 9 square units
Width of the rectangle = 1/4 of length
What is the area of a rectangle?The area of a rectangle is the multiplication of its length to width.
Let us take the length of the rectangle as l
So, the width of the rectangle will be l/4
Area of the rectangle,
[tex]l*\frac{l}{4} = 9(given)[/tex]
[tex]l^{2} = 36\\l = 6[/tex]
Therefore, the length of the given rectangle is 6 units,
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Answer: 6 units or D.
Step-by-step explanation:
Find the circumference of the circle
Answer:50.3m
Step-by-step explanation:
Answer:
50.24 m[tex] \\ [/tex]
Step-by-step explanation:
To find the circumference of the circle, we must know this formula
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\ [/tex]
Where,
r denotes the radius of the circle. Here, the radius is 8 mWe'll take the value π as 3.14With the help of this formula, we can find the circumference of the circle.
[tex] \\ [/tex]
Now, we'll substitute the values in the formula :
[tex] \\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 3.14 \times 8}}} \: \: \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle) }= 3.14 \times 16 }}} \: \: \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \frak { Circumference_{(circle) }= 50.24\: }}}} \: \: \\ \\ [/tex]
Therefore,
The circumference of the circle is 50.24 mPlease answer the questions, I will give brainliest <333
Answer:
1) The error is 3x² - 3x - 18 = 3(x² - 3x - 18)
The 3 needs to be factorised out of each term in the brackets not just 3x² → the correction is 3x² - 3x - 18 = 3(x² - x - 6) → 3(x - 3)(x + 2)
2) The 5 and 1 are written in the wrong brackets; it should be (10x - 1)(x + 5)
Hope this helps!
3 less than -5 times a number x is the same as -18
Step-by-step explanation:
-5x - 3 = -18
that's the answer
Solve for x round to the nearest tenth
Answer:
Step-by-step explanation:
1) 8.9
2) 27.8
3) 24.3
4) 11.4
5) 27.5
6) 49.2
7) 8.1
8)4.8
After making a payment, a person is left with a credit card balance of $315. How much interest will be charged after 18 months if the interest rate is 1.5% per year? Round to the nearest cent. Please explain how you answer step by step!!
Answer:
A = P (1 + i)^n A is the final amount
P is the initial amount
i = interest / period
n = number of periods
A = 315 * (1 + .015)^1.5 = 322.11
05) A polynomial function f of degree(6) whose coefficients are real numbers has the zeros i, 4-i,2+i . Find the remaining zeros of (f)
The degree of the polynomial function f is the number of zeros function f has.
The remaining zeros of the polynomial function are -i, 4 + i and 2 - i
How to determine the remaining zerosThe degrees of the polynomial is given as;
Degree = 6
The zeros are given as:
i, 4-i,2+i
The above numbers are complex numbers.
This means that, their conjugates are also zeros of the polynomial
Their conjugates are -i, 4 + i and 2 - i
Hence, the remaining zeros of the polynomial function are -i, 4 + i and 2 - i
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Are the ratios 48/84 and 60/96 proportional
Answer:
No, theyre not proportional
Step-by-step explanation:
48/84=4/7
60/96=5/8
5/8 does not equal 4/7
Can someone help me and thank you
Answer:
A. 1/3 (3/2 x -1) = -1/2
Step-by-step explanation:
Step by step is in the document.
hope that helps
Round to the nearest tenth
Answer:
I don't know. You need to ask someone else.
1 out of 3 students wants pancakes and the rest want waffles. What is the ratio of the number of students who want pancakes to the number of students who want waffles?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answer:
Step-by-step explanation:
2:27
What was the temperature today?
What are all the real zeros of y=(x-20)^2 +5
Please show step by step I'm so lost
Simplify
[tex]\\ \rm\longmapsto y=(x-20)^2+5[/tex]
[tex]\\ \rm\longmapsto y=x^2-40x+405[/tex]
Graph attached
No real zerosAnswer:
no real zeros
Step-by-step explanation:
We are given the following quadratic function:
[tex]y = {(x - 20)}^{2} + 5[/tex]
firstly simplify it to standard form which is
[tex]y = {x}^{2} -40x + 405[/tex]
To figure out the real zeros, set y to 0:
[tex] {x}^{2} - 40x + 405 = 0[/tex]
recall that,a quadratic equations has real zeros in case its discriminant is greater than or equal to 0, therefore
b²-4ac≥0⇒real rootsconsider,
a=1b=-40c=405now substitute:
[tex] { (- 40)}^{2} - 4(1)(405) \stackrel{ ? }{ \geq}0[/tex]
simplifying yields:
[tex] 1600 - 1620 \stackrel{ ? }{ \geq}0 \\ - 20 \ngeq 0[/tex]
hence, The function has no real zeros
What is an equation of the line that passes through the points (8,2) and (8,-4)
Answer:
x=8.
Step-by-step explanation:
according to the given coordinates the required line is vertical (the value of 'x' is 8), then the required equation is: x=8.
Determine the area of the shaded region
Answer:
200mm^2 is the area of shadded region
3 square root x^5 / 5 square root x^2
Solve for x. Show steps.
[tex]y=mx+b[/tex]
Answer:
[tex]x=\frac{y-b}m[/tex]
Step-by-step explanation:
We subtract b from both sides.
[tex]y-b = mx[/tex]
We divide both sides by m (as long as [tex]m\ne0[/tex]) and read right to left.
[tex]x= \frac{y-b}m[/tex]
Answer:
[tex]x=\frac{y-b}{m}[/tex]
Step-by-step explanation:
[tex]\mathrm{Switch\:sides}[/tex]
[tex]mx+b=y[/tex]
[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]
[tex]mx+b-b=y-b[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]mx=y-b[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}m;\quad \:m\ne \:0[/tex]
[tex]\frac{mx}{m}=\frac{y}{m}-\frac{b}{m};\quad \:m\ne \:0[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=\frac{y-b}{m};\quad \:m\ne \:0[/tex]
[RevyBreeze]
If the simple interest on $3,000 for 8 years is $1,200, then what is the interest rate?
Answer:
i THINK its 18.75% per year
Step-by-step explanation:
r = (1/8)((3,000/1200) - 1 ) = 0.1875
r = 0.1875 * 100 = 18.75
(dont take my word tho, u should double check yourself)
Given the similar pyramids pictured below.
The volume of pyramid 1 is 675 cm3 and its surface area is 504 cm2 If the volume of pyramid 2 is 3125 cm3 , what is its
surface area?
Answer:
1400 cm²
Step-by-step explanation:
The ratio of volumes of similar figures is the cube of the scale factor. Here, that is 3125/675 = sf³. That means the scale factor is ∛(3125/675) = 5/3.
The ratio of areas of similar figures is the square of the scale factor. Here, that is (5/3)² = 25/9.
The area of the larger pyramid is 25/9 times the area of the smaller one:
A = (25/9) × 504 cm² = 1400 cm²
The surface area of pyramid 2 is 1400 cm².
_____
Additional comment
You don't need to find the scale factor. You can jump directly to the fact that the surface area multiplier is the 2/3 power of the volume ratio.
What is the volume of the cylinder in the picture? Use 3.14 to approximate pi. Round
your answer to the nearest tenth.
Someone pls help??????????????????????
Answer:
Cups 32 80 96. 128. 160
Gallons 2. 5. 6. 8. 10
I think it will help you
You are ordering a cake for your brother’s birthday. You must choose between vanilla, chocolate or marble cake. You must choose between buttercream or chocolate frosting. Finally you must choose between a cake with a 4-inch radius, 6-inch radius, 9-inch radius, or 12-inch radius. How many difference cake options are there?
Answer:
24
Step-by-step explanation:
There 3 cake flavor choices.
There are 2 frosting choices.
There are 4 size options.
Multiply to find the total number of choices.
3×2×4
= 24 different cakes can be made with these choices.
y’all pls help! NO LINKS!!
Answer:
16°
Step-by-step explanation:
The trig function tangent relates an acute angle of a right triangle to the measures of the adjacent and opposites sides. Those are the sides given here, so the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(?) = 14/49 = 2/7
When the tangent of the angle is known, the inverse tangent function can be used to find the angle:
? = arctan(2/7) ≈ 16°
The value of "?" is about 16°.
Can someone help me with this question? I’ll mark you brainliest if you answer!!!
Answer: i think D sorry if wrong
can we be friend
What is the product
(7x^2)(2x^3+5)(x^2-4x-9)
Answer: It's the third one / C
Step-by-step explanation:
1) Which of the following is NOT a reason for the collapse of the Maya Civilization?
A) endemic warfare
B) outbreak of diseases
C) drought
D) floodings
2)Which of NOT true about the Maya?
A) The Maya were skillful farmers.
B) A farming method of the Maya was Slash and Burn
C) In the mountainous highlands, they used step farming method
D) They use big machineries to cultivate their crops
3) The Maya migrate from which part of Asia to the New World?
A) Japan
B) Siberia
C) Africa
D) Europe
4) The early Maya was known as which type of Indians?
A) Paleo Indians
B) Apache Indians
C) Incas Indians
Answer:
1). Flooding
2). A farming method of the Maya was Slash and Burn
3). Japan
4.)C) Incas Indians
Step-by-step explanation:
Hope this helps
What's the equation of the line shown above?
Question 2 options:
A)
y = –3∕2x – 6
B)
y = –2∕3x – 6
C)
y = –3∕2x – 4
D)
y = –2∕3x – 4
Answer:
D
Step-by-step explanation:
x,y 2,3 just trust me good sir
Answer:
y = -2/3x - 6 (B)
Step-by-step explanation:
There not really an explanation to be made. You've got to count points correctly and number your graph appropriately to get a correct answer.
Help I do not know how to do this!
Step-by-step explanation:
this is one of the formulas you should remember for life :
the general solution for a quadratic equation
ax² + bx + c = 0
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case that is
x = (-4 ± sqrt(4² - 4×1×-1))/(2×1) = (-4 ± sqrt(16 + 4))/2 =
= (-4 ± sqrt(20))/2 = (-4 ± sqrt(4×5))/2 =
= (-4 ± 2×sqrt(5))/2 = -2 ± sqrt(5)
x1 = -2 + sqrt(5) = 0.236067977...
x2 = -2 - sqrt(5) = -4.236067977...
so, the negative solution is the x2 solution :
-4.236067977...
I don't know to how many decimal positions you are supposed to round. it is not specified in your problem definition.
HELP PLEASE (see attachment) I WILL GIVE BRAINLIEST
Your second last answer is right mark me Brainlist as you say : )
A karate studio charges $35 for the first course and $22. 50 for each course after that, even if the student leaves the course early. Cena paid $170 for her son to take courses. How many courses did he take? 6 courses 7 courses 8 courses 10 courses.
The Cena can take 7 courses
We have given that the karate charges $35 for the first course and $22.50 for each course after that. Our total is $170.
What is the condition we can write here?[tex]22.50x + 35 = 170[/tex]
for solving this linear equation
First, subtract 35 from both sides.
[tex]22.50x = 135[/tex]
isolate x so divide both sides by 22.50.
[tex]x=\frac{135}{22.50}[/tex]
Therefore we get x = 6
Remember to add the additional class, so x is actually 7.
So,the Cena can take 7 courses.
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Answer:
7 courses
Step-by-step explanation:
ANYONE GOOD AT MATH NEED HELP ON THIS QUESTION?!!
TOPIC: Compound Probability
Bernardo Flips a coin and rolls a 1-6 number cube. Draw a tree diagram to show the set of all possible outcomes.
Answer:
There are a total of twelve possible outcomes. This is because flipping a coin has two possible outcomes (either heads or tails) and rolling a number cube has 6 of them (1-6) so 2 times 6 is 12.
If you want to draw a tree diagram, first split your tree into two branches, one for heads and one for tails. Then, split both branches into 6 sub-branches each, so each branch has a full set of numbers from 1-6.
Or you can do it the other way around, first split your tree into 6 branches, then split all branches into 2 sub-branches each.
hope this helps :)