Step-by-step explanation:
For Slant Height (l)
(l)^2=(3)^2+(4)^2
Using Pythagoras Theroem,
(l)^2=9+16
(l)^2=25
l=5cm
For lateral surface area (pi*r*l)
pi*4*5
20pi cm^2
MARK ME AS BRAINLISTThe lateral area of the cone in terms of π, given that the cone has a radius of 4 cm is 20π cm²
How to determine the lateral area of the cone?First, we shall obtain the slant height of the cone. This is shown below:
Height (h) = 3 cmRadius (r) = 4 cmSlant height (L) = ?L² = r² + h²
L² = 4² + 3²
L² = 16 + 9
L² = 25
Take the square root of both side
L = √25
= 5 cm
Finally, we shall obtain the lateral area of the cone. This is shown below:
Radius (r) = 4 cmSlant height (L) = 5 cmLateral area (LA) =?LA = πrL
= π × 4 × 5
= 20π cm²
Thus, the lateral area of the cone is 20π cm²
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What is the solution to the equation below?
Blog4x = log232+ log 2
O X=-8
O
X=-4
O x=4
X-
X-8
Answer:
x = 4
Step-by-step explanation:
When you have a coefficent in front of a logarithm function, you can take the argument to the power of that coefficient. For example, the 3 in front of the logarithm can be brought into the argument, and you can take 'x' to the third power. You get:
[tex] log_{4}( {x}^{3} ) = log_{4}(32) + log_{4}(2) [/tex]
When you add logarithms, it is equivalent to multiplying their arguments:
[tex]log_{4}( {x}^{3} ) = log_{4}(32 \times 2) = log_{4}(64) [/tex]
Since both sides are log base 4, the arguments must equal each other:
[tex] {x}^{3} = 64[/tex]
[tex]x = \sqrt[3]{64} = 4[/tex]
here it is, this is ur answer x=4
Which of the following equations does not have an x-intercept? Select all that apply.
A) y=x+0
ОВ) y=x
C) y=0x + 3
OD) y=0
E)y=5
F) y 3x+0
We can conclude from the slope intercept result, the equation with no x-intercept is C) y=0x + 3, D) y=0, E) y=5
What is slope intercept?In mathematics, the slope-intercept form of a linear equation is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point on the line where it intersects the y-axis.
Because it allows you to easily view the line and identify its slope and y-intercept, the slope-intercept form is a useful way to describe a line's equation. The slope of the line denotes its steepness, while the y-intercept indicates where the line intersects the y-axis.
The x-intercept of an equation is the point at which the equation's graph intersects the x-axis. When the value of y is zero, something happens. As a result, an equation lacks an x-intercept horizontal line that does not intersect the x-axis.
C) y=0x + 3 (A horizontal line with a y-intercept of 3 that does not cross the x-axis.)
D) y=0 (This is a horizontal line that passes through the origin but does not intersect the x-axis.)
E) y=5 (This is a horizontal line that passes through (0,5) but does not cross the x-axis.)
F) y=3x+0 (This is a straight line travelling through the origin and does cross the x-axis) (This is a straight line passing through the origin and does cross the x-axis)
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Answer:
C and E
Step-by-step explanation:
because i did the assignment and got it right
at what time do u have to get out of the house if your walking 32 min to school school starts at 8 opens at 7:40
Answer:
7:10 or 7:20
Step-by-step explanation:
it allows time for the doors to open and time to get to class
Write these numbers in standard form:
A. 400
B. 6000
C. 2000000
D. 0.4
= 4 × 10^2
B. 6000= 6 × 10^3
C. 2000000= 2 × 10^6
D. 0.4= 4 × 10^-1
( to find the standard form just count the zeros. )
a)= 4×10^2
b)= 6×10^3
c)= 2×10^6
d)= 4×10^-1
hope this helps
How do you solve this
Answer:
x = 8
Step-by-step explanation:
Use the Intersecting Chords Theorem...
Olivia grows onions. She has 9 onions in each row of her garden. Her garden has 5 rows. Today she harvested 7 onions. How many onions are left growing in her garden?
Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? select three options. the domain is {x|x ≤ –2}. the range is {y|y ≤ 6}. the function is increasing over the interval (–[infinity] , –2). the function is decreasing over the interval (−4, [infinity]). the function has a positive y-intercept.
The graph of the function f(x) = –x^2 – 4x +2 are true options 1 and 4 are correct.
We have the given,
The graph of the function f(x) = –x^2 – 4x+ 2
The statements that agree with the graph of the equation are as follows:
1. The domain is {x|x ≤ –2}.
What is the domain?The set of points at which function is defined.
4. The function is decreasing over the interval (−4, ∞).
From the given graph,
We can say that the above statements are true.
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Answer:
yes
Step-by-step explanation:
I need help with my math problem pls
Find the value of x in
2x + 3x = 20+x
Hey there!
2x + 3x = 20 + x
5x = 20 + x
20 + x = 5x
SUBTRACT x to BOTH SIDES
5x - x = 20x + x - x
5x - 1x = 20x + 1x - 1x
SIMPLIFY IT!
4x = 20
DIVIDE 4 to BOTH SIDES
4x/4 = 20/4
SIMPLIFY IT!
x = 20/4
x = 5
Therefore, your answer is: x = 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Easy question simplify
Answer:
144
Step-by-step explanation:
-12 * -12 = 144
12² =144
but the question was not 12², but -12²
so the answer is -144
if the exercise was between (), so writen like this (-12)²
then you would need to do the - to the power of 2 as well
Find the value of x using the diagram below
Answer:
x=19
Step-by-step explanation:
9x-17
(9*19)-17
=95
5*19=95
if you put 19 in x you will get the same degree
What is the final answer ?
Answer:
16 feet
Step-by-Step Explanation:
If you graph it, the vertex will be (3,16) and that means 16 feet is the maximum height of the diver.
A lizard is 412 inches long.
How long is the lizard in centimeters?
Answer: 1046.48cm
Step-by-step explanation: Multiplying by 2.54 To convert
jacks comfort cafe & bakery buys cheesecake for $8.00 and it marks up 36% what is his selling price
Answer:$10.88
Step-by-step explanation:
36/100 ×8= 2.88
Selling price is 8+2.88
Please help i will give brainliest
Answer:
c
Step-by-step explanation:
Answer:
its C bro i dont copy her/he
dont be suspiciousful
Step-by-step explanation:
ita right mark me as brainlest
A volleyball player hits a ball from a height of 6 feet with an initial vertical velocity of 16 feet per second. What is the maximum height of the volleyball? Assuming it is not hit by another player, when will the volleyball hit the ground? Round the answers to two decimal places if necessary.
The maximum height of the volleyball is ___
feet.
The volleyball will hit the ground after ___
seconds.
Considering a quadratic equation, it is found that:
The maximum height of the volleyball is of 19.06 feet.The volleyball will hit the ground after 3.6 seconds.What is the quadratic equation for an object's height?Considering the height in feet, it is given by:
h(t) = -4.9t² + v(0)t + h(0)
In which:
v(0) is the initial velocity.h(0) is the initial height.In this problem, we have that h(0) = 6, v(0) = 16, hence the equation is given by:
h(t) = -4.9t² + 16t + 6
Which is a quadratic equation with coefficients a = -4.9, b = 16, c = 6. Hence the maximum height is found as follows:
[tex]\Delta = b^2 - 4ac = 16^2 - 4(-4.9)(6) = 373.6[/tex]
[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{373.6}{-4(4.9)} = 19.06[/tex]
The maximum height of the volleyball is of 19.06 feet.
It hits the ground at the roots, hence:
The solutions are:
[tex]x_1 = \frac{-16 + \sqrt{373.6}}{-9.8} = -0.34[/tex]
[tex]x_2 = \frac{-16 - \sqrt{373.6}}{-9.8} = 3.6[/tex]
Time is a positive measure, hence:
The volleyball will hit the ground after 3.6 seconds.
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A balloon with a small leak loses 1% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week (7 days)? Round your answer to the nearest tenth.
Answer:
37.2 liters
Step-by-step explanation:
1% of 40 is 0.4
0.4 * 7 = 2.8
40 - 2.8 = 37.2 liters
Hope this helped
please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure.
225°
Answer:
Fraction: 5/8
Radians: 5pi/4 Radians
Step-by-step explanation:
1A Fraction
A circle has a total of 360 degrees, in order to solve the first part we must use this preknowledge.
As we are given 255 degrees, we simply order a fraction:
Degrees Given/360 Hence,
255/360
Simplify
5/8
1B Radians
In order to convert degrees to radians we use a simple trick, we must multiply the degree measure (225) by pi/180 because a full circle = 2pi radians or 360 degrees hence,
225 x pi/180
Simplify
5pi/4 radians
Determine values of m, n, p, and q so that
Answer:
Step-by-step explanation:
[tex]\frac{x^{2}+mx+n }{9-x^{2} } /\frac{x^{2} +6x-16}{x^{2} +px+q} = \frac{-x+3}{x+8}[/tex]
Change the division of the two fractions in to multiplication
[tex]\frac{x^{2}+mx+n }{9-x^{2} } * \frac{x^{2} +px+q}{x^{2} +6x-16} = \frac{-x+3}{x+8}[/tex]
Factor what we can
[tex]\frac{x^{2}+mx+n }{(3-x)(3+x)} * \frac{x^{2} +px+q}{(x-2)(x+8)} = \frac{(3-x)}{x+8}[/tex]
Cross multiply and simplify (x+8)/(x+8)
(x² +mx +n) (x² +px +q) = (x -3) (x -3) (x +3)( x -2)
Now we look to see what values for m, n, p, and q will give those factors.
m= 1 n= 2 p= 3 q= 4
(x² +x +2) (x² +3x +4) ≠ (x -3) (x -3) (x +3)( x -2) ❌
m= 1 n= -6 p= -6 q= 9
(x² +x -6) (x² -6x +9) = (x+3)(x-2) (x-3)² ✅
m= -5 n= 6 p= 0 q= -9
(x² -5x +6) (x² -9) = (x-3)(x-2)(x-3)(x+3)✅
m= 7 n= -4 p= 2 q= 0
(x² +7x -4) (x² +2x) ≠ (x-3)(x-2)(x-3)(x+3)❌
m= 3 n= -6 p= 1 q= 7
(x² +3x -6) (x² +x+7) ≠(x-3)(x-2)(x-3)(x+3)❌
m= -6 n= 9 p= 1 q= -6
(x² -6x +9) (x² +x -6) = (x-3)(x-3)(x-2)(x+3)✅
m= 0 n= -9 p= -5 q= 6
(x² -9) (x² -5x +6) ≠(x-3)(x-3)(x+3)(x-2)❌
5(x + y) what is tje anser
Use the distributive property:
5(x + y) becomes 5x + 5y
with the information provided in the question that is as much as can be done.
answer: 5x + 5y
PLS HELP!!!!
No links pls and Ty<33!!!!
Answer:
r=20
d=40
40*3.14=125.6
circumference = 125.6
Step-by-step explanation:
find surface area for a rectangular prism
Answer:
the surface are is 34.64
Step-by-step explanation:
2 |3x-5| - 4 = 12
Solve for x
Show work
Isolate the absolute-value term:
2 |3x - 5| - 4 = 12
2 |3x - 5| = 8
|3x - 5| = 4
Recall the definition of absolute value:
[tex]|x| = \begin{cases}x & \text{if }x \ge0\\-x&\text{if }x<0\end{cases}[/tex]
We consider two cases:
• If 3x - 5 ≥ 0, then |3x - 5| = 3x - 5, and the equation resolves to
3x - 5 = 4
3x = 9
x = 3
• Otherwise, if 3x - 5 < 0, then |3x - 5| = -(3x - 5) = -3x + 5, hence
-3x + 5 = 4
-3x = -1
x = 1/3
1. Which of the following is 60% in fraction form? A. 2/5 B. 3/5 2. What is 2/5 in percent? C. 4/5 D. 1/5 A. 20% B. 40% C. 80% D. 30% 3. What is 1/3 in decimal? A. 0.222 B. 0.333 C. 0.667 D. 0.445 4. What is 250 in the statement 24% of 250 is 60? A. base B. rate C percent D. percent 5. What is the equivalent of 48/100 in decimal form? A. 0.48 B. 0.048 C. 0.408 D. 0.0048 6. What do you call the quantity that represents the whole? A. base B. rate C. percent D. percentage 7. Which term is described as the quantity that is part of the base? A. base B. rate C. percent D. percentage 8. Which represents base in 30% of 300 is 90? A. 30 B. 90 C. 300 D. 30% 9. In the statement 24% of 250 is 60, which represents rate? A.0.24 B. 24% C. 60 D. 250 10. If 30% of 300 is 90, what do you call 90? A. base B. rate C. portion D. percentage 11. In the statement "18 is girls in the class of 60 learners? A. 3:12 B. 5:20 C. 1:4 D. All of these 16. Seven of the 35 boys in the class wear eyeglasses. What percent of the boys wear eyeglasses? Which of the following is asked in the problem? A. Base B. Rate C. Percentage D. Proportion any one help meg
1. 60% can be written as 60/100, simplified as 3/5
2. 2/5 is 40/100, can be written as 40%
3. 1/3 is 33.33333...% -> 0.(3) [ infinite recurring decimals if i remember correctly]
4. 250 here is the base (original number)
5. 48/100 can be written as 48% -> 0.48
6. base
7. percentage
8. 300
9. 24%
10. portion
11. (i dont know what this mean, next time write it more carefully)
12. percentage
please help with this question
Samantha has 67 cents in her pocket. Write two coin combinations she could have that would equal the same amount
Mark works 40 hours per week at a store.
He earns $8.75 per hour.
Each week $36 is deducted from his paycheck for taxes.
how much money does mark earn, after taxes have been deducted,during a 4-week period
A. $314
B. $386
C. $1,256
D. $1,364
Answer
not to sure but i think its number 3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Jenna's has invested 3000 at a 5% Simple rate how much interest will she earn in three years
Answer:
simple interest=Principal +Time+Rate÷100
Interest=3000+3+5÷100=3005.03
interest=3005.03
Part A
Which statements are central ideas of Library on Wheels: Mary Lemist Titcomb and America's First Bookmobile?
Select the two correct answers.
Mary was not afraid to be a pioneer.
Mary worked hard to better the library experience.
Mary believed libraries were mainly for the rich.
Mary's friends supported her decision to move to Maryland.
Question 2
Part B
Which two details from the text best support the answers in Part A?
"But Mary, always independent, was eager to take on this new challenge."
"'…It remained for Miss Titcomb to show us that libraries are intended for the middle class of people, the working man and woman and children particularly.'"
"She continually looked for ways to improve librarianship, to render it both more efficient and more far-reaching."
"Mary's friends and family thought it would be unwise for her to leave her secure position in Vermont to go by herself to rural Maryland."
Answer:
Part 1:
A. Correct
B. Correct
Part 2:
A. Correct
C. Correct
Answer:
I got 100 % on the quiz
Step-by-step explanation:
check the photo below for the awnser
. A rectangular tank is 32 cm wide and 45 cm long. It
contains three identical plastic water plants and is
filled with water to a height of 10 cm. When Amy
pulls all three plastic water plants out of the tank,
the height of the water drops to 8 cm. Find the
volume of one plastic water plant.
PLEASE HELP!! WILL GIVE BRAINLIEST
Answer: 960^3 cm or 960 cubic centimeters
Step-by-step explanation:
Cubic because measuring 3 dimensions.
32x45 = area of given face
32x45= 1440
height of water = 10 cm
so,
area of given face x 10 =
32x45x10 or lxwxh (Volume)
so
1440x10= 14,400
1440x8= 11,520
so 14,400 - 11,520 = 2880
V of three plants = 2880
so, 2880/3 = volume of one plant
2880/3=960
V of singe plant = 960 units ^ 3
The difference in volumes represents the total volume of three plants, so answer should be divided by 3.
Hope This Helped!
Answer: one plastic water plant volume = 960 cm³
Step-by-step explanation:
Total volume = Water Volume + 3 plants volume
Total Volume = 32 cm x 45 cm x 10 cm = 14 400 cm³
Water volume = 32 cm x 45 cm x 8 cm = 11 520 cm³
3 Plants volume = 14,400 cm³ - 11,520 cm³ = 2880 cm³
1 Plant volume = 2,880 cm³ : 3 = 960 cm³