Step 1: We make the assumption that 498 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=498$100%=498.
Step 4: In the same vein, $x\%=4$x%=4.
Step 5: This gives us a pair of simple equations:
$100\%=498(1)$100%=498(1).
$x\%=4(2)$x%=4(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{498}{4}$
100%
x%=
498
4
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{4}{498}$
x%
100%=
4
498
$\Rightarrow x=0.8\%$⇒x=0.8%
Therefore, $4$4 is $0.8\%$0.8% of $498$498.
(Will mark brainliest) A box shaped like a rectangular prism is 14.5 centimeters long, 4 centimeters wide and 3.5 centimeters high. You have a ruler that is 15 centimeters long and 3 centimeters wide. Can it fit inside this box? EXPLAIN.
I don't know the answer please
the diagram represents a sports ground. the bends are semicircle. calculate the area of the sports ground. give your answer correct to the nearest square metre
Answer:
8,163 square meter
Step-by-step explanation:
The area of the sports ground = area of rectangle + 2(area of semicircles)
= L*W + 2(½*πr²)
L = 120 m
W = 51 m
r = ½ of 51 = 25.5 m
Plug in the values
Area of the sports ground = 120*51 + 2(½*π*25.5²)
Area = 6,120 + 2,042.82062
Area = 8,162.82062 ≈ 8,163 square meter
IM BEGGING PLEASE HELP One angle of the triangle is 30% larger than the other and 36 ° smaller than the third. Find the angles of the triangle.
9514 1404 393
Answer:
52°, 40°, 88°
Step-by-step explanation:
Let x represent "one angle". This is 30% larger than "the other", so we have ...
x = "the other" × (1 +30%)
x/1.30 = "the other"
If x is 36° smaller than the third, then the third is x+36.
__
The sum of the angles is 180°.
x + x/1.3 + (x +36) = 180
x(2 +1/1.3) = 144
x = 144/(2 +1/1.3) = 52
x/1.3 = 52/1.3 = 40
x +36 = 88
The angles of the triangle are 52°, 40°, and 88°.
What is a formula for the nth term of the given sequence?
6, 12, 24...
Answer:
the answer is 6n please do you get it
Find the length of base PQ in the trapezoid.
Answer:
PQ = 20
Step-by-step explanation:
Theorem: The length of the median of a trapezoid is the average of the base lengths.
[tex]\frac{PQ + 12}{2} = 16[/tex]
PQ + 12 = 32
PQ = 20
See how easy that is if you know the theorem!
In a triangle, the measure of two angles is 95° and 55°, then the third angle is
the correct answer will get brainliest
Answer:
30
Step-by-step explanation:
angles in a triangle add up to 180, so:
let x be the third angle
[tex]x+95+55=180\\x + 150 = 180\\x = 30[/tex]
Find the value of X ?
Plss FAST
Answer: x = √28
Step-by-step explanation:
a² + b² = c² Use Pythagorean Theorem to find the missing length.
x² + 6² = 8²
x²+ 36 = 64 [Subtract 36 from both side]
x²= 28
√x² = √28 [solve the square root from both side]
x = √28
Simplify 1xnx8 help me
Answer:8n
Step-by-step explanation:
The hypotenuse of a right triangle is 18 inches long. The leg is 7 inches long.
What is the measure of the third side? Round your answer to the nearest
tenth if necessary.
19.3 in
16.6 in
14.2 in
11 in
Answer:
16.6 in
Step-by-step explanation:
182^2﹣72^2≈ 16.58312 round it and you get 16.6 in
What situation could this diagram represent?
rolling two number
cubes
tossing one coin once
spinning a tri-color
spinner
tossing two coins once
Answer:tossing two coins once
Step-by-step explanation:
What’s the degrees to this question
Answer:
Oh yes, wait a minute Mister Postman
Step-by-step explanation:
oh yes, wait a minute Mister Postman yes, waiT yes, wait a minute Mister Postman a Mister Postman yes, wait a minute Mister Postman Dixie Normus
pls just do the help
Answer:
i believe the first and second one
Step-by-step explanation:
the general exponential function looks like this: y=bx y = b x, where the base b is any positive constant. the base b could be 1, but remember that 1 to any power is just 1, so it's a particularly boring exponential function!
good luck :)
hopefully, this helps
have a great day !!
Can anyone help me with this?: x/-4 - 10 = -5 thank you
Answer:
x=-20
Step-by-step explanation:
(x/-4)-10 = -5
-5 + 10 = x/-4
5 = x/-4
5 x -4 = x
-20 = x
x= -20
CHECK
(-20/-4)-10 = -5
5 -10 = -5
Pleaseeee help! ASAP!
Answer:
Both slopes are as follows 1. 2 2. 2/5
Both equations are like
1.
16-12= 4
-----------=2
4-2= 2
=====
2.
10-4= 6
------------=2/5
20-5= 15
The Y intercept for both is as follows
1. 8
2. 2
I may be wrong on something but likely not and if I am sorry
please help quickly!!
Answer:
the answer is 3.35×10
[tex]3.35 \times 10 { - 8}^{?} [/tex]
that the answer
Write the equation in standard form.
1 + 4 = 3 (3x + 3)
Answer:
in fraction form it is -4/9 and in decimal form it is -0.4
Step-by-step explanation:
Find the diameter of a circle that is 90 centimeters long and 28 centimeters from the center of the circle
Answer:
o Identify some basic parts of a circle, such as the radius and diameter
o Calculate the circumference of a circle
o Calculate the area of a circle
In this article, we will consider a geometric figure that does not involve line segments, but is instead curved: the circle. We will apply what we know about algebra to the study of circles and thereby determine some of the properties of these figures.
Introduction to Circles
Imagine a point P having a specific location; next, imagine all the possible points that are some fixed distance r from point P. A few of these points are illustrated below. If we were to draw all of the (infinite number of) points that are a distance r from P, we would end up with a circle, which is shown below as a solid line.
Thus, a circle is simply the set of all points equidistant (that is, all the same distance) from a center point (P in the example above). The distance r from the center of the circle to the circle itself is called the radius; twice the radius (2r) is called the diameter. The radius and diameter are illustrated below.
The Circumference of a Circle
As with triangles and rectangles, we can attempt to derive formulas for the area and "perimeter" of a circle. Unlike triangles, rectangles, and other such figures, the distance around the outside of the circle is called the circumference rather than the perimeter-the concept, however, is essentially the same. Calculating the circumference of a circle is not as easy as calculating the perimeter of a rectangle or triangle, however. Given an object in real life having the shape of a circle, one approach might be to wrap a string exactly once around the object and then straighten the string and measure its length. Such a process is illustrated below.
Obviously, as we increase the diameter (or radius) of a circle, the circle gets bigger, and hence, the circumference of the circle also gets bigger. We are led to think that there is therefore some relationship between the circumference and the diameter. As it turns out, if we measure the circumference and the diameter of any circle, we always find that the circumference is slightly more than three times the diameter. The two example circles below illustrate this point, where D is the diameter and C the circumference of each circle.
Again, in each case, the circumference is slightly more than three times the diameter of the circle. If we divide the circumference of any circle by its diameter, we end up with a constant number. This constant, which we label with the Greek symbol π (pi), is approximately 3.141593. The exact value of π is unknown, and it is suspected that pi is an irrational number (a non-repeating decimal, which therefore cannot be expressed as a fraction with an integer numerator and integer denominator). Let's write out the relationship mentioned above: the quotient of the circumference (C) divided by the diameter (D) is the constant number π.
We can derive an expression for the circumference in terms of the diameter by multiplying both sides of the expression above by D, thereby isolating C.
Because the diameter is twice the radius (in other words, D = 2r), we can substitute 2r for D in the above expression.
Thus, we can calculate the circumference of a circle if we know the circle's radius (or, consequently, its diameter). For most calculations that require a decimal answer, estimating π as 3.14 is often sufficient. For instance, if a circle has a radius of 3 meters, then its circumference C is the following.
The answer above is exact (even though it is written in terms of the symbol π). If we need an approximate numerical answer, we can estimate π as 3.14. Then,
Interested in learning more? Why not take an online class in Pre-Algebra?
The symbol ≈ simply means "approximately equal to."
Practice Problem: A circle has a radius of 15 inches. What is its circumference?
Solution: Let's start by drawing a diagram of the situation. This approach can be very helpful, especially in situations involving circles, where the radius and diameter can easily be confused.
Step-by-step explanation:
Answer:
56cm
Step-by-step explanation:
The radius is half the diameter so times the radius by two to find the width of the diameter. 28 x 2 = 56cm
A dress was on sale for 35% off. The original price was $40. How much will she save?
Answer:
$15
Step-by-step explanation:
Answer:
She will save $14.
Step-by-step explanation:
Because the dress is 35% off, the savings value will be 40*0.35. That will give you a savings total of 14 dollars.
y = x - 1
-2x - 3y = -1
Answer: x=0 and y=0
Step-by-step explanation:
Plz plz helpppppppppppppp i really need it
Answer:
3
Step-by-step explanation:
8*3=24
PLEASE HELP ME I WILL MARK YOU BRAINLIEST
Answer:
the side length or height would be 5.9948362
so your answer is 6m
Answer:
6m
Step-by-step explanation:
226=1/3 pi 6^2 h
226=1/3 pi 36h
226=12pi h
226/12pi = h
226/37.68= 5.997876
6m
if 2x^2 + 6x = 36 what are the possible values of x? specifically 2 answers?
Step-by-step explanation:
2x^2+6x=36
x^2+3x=12
x^2+3x-12=0
x=(-3+(57)^0.5)/2 or x=(-3-(57)^0.5)/2
Given a sphere with a radius of 3 cm, what is its volume to the whole number
Answer:
113.1cm aka 113
Step-by-step explanation:
I need a legitimate answer ASAP
Answer:
DE is congruent to AB
DF is congruent to AC
FE is congruent to CB
You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?
Answer:
One
Step-by-step explanation:
An equilateral triangle has equal side lengths.
With the given information, you can construct one equilateral triangle, with the sides measuring 7cm each.
The sides of the equilateral triangle can't be mixed up, they must stay the same.
Hope this helps.
Which of the following statements is true for the equation 2x+2=3x+1? The equation is never true. The equation is only true for x = 1 The equation is true for all values of x. The equation is true for all values except x = 1.
select all the statements that are true about the equation y=-2/3x+5
Answer:
The slope of the line is negative. The y-intercept is 5. The slope of the line is -2/3.
Step-by-step explanation:
With 2 given points on the line that are whole numbers, you can find the slope of the line with the equation [tex]m=\frac{y2-x2}{y1-x1}[/tex]. The answer will tell you whether it's negative or positive. For example, [tex]m=\frac{-2-1}{4-0} =\frac{-3}{4}[/tex]. The slope is negative for the example. The y-intercept would be the point with 0 as the x-value: (0, -5).
I. have number 356 and I want the greatest 3 digit even number by using these numbers
Answer:
536
Step-by-step explanation:
6 is the only even number so it must go at the end
5 is greater than three so it goes in the hundreds
Help im confused like alot
Answer: 5/2x-7-3/4x=3/4x+14-3/4x
7/4x-7=14
7/4x-7+7=14+7
7/4x=21
(4/7)*(7/4x)=(4/7)*(21)
x=12
Step-by-step explanation:
Yeh so simpliy it. I you do something to one side, do it to the other.
(5/2)x - 7 = (3/4)x + 14
first get rid of the smallest value of x which is 3/4.
We need to change the denominate for this
(10/4)x -(3/4)x -7 = (3/4)x - (3/4)x +14
which becomes
(7/4)x - 7 = 14
then get rid of -7 by adding on both side
= (7/4)x = 21
= x = 12
ASK IF YOU NEED MORE HELP! ALGEBRA IS IMPORTANT!
Solve for X and round to the nearest hundredth
Answer:
Pretty sure it's 20.24.
Step-by-step explanation:
Since you know the side adjacent to the reference angle and you want to find the side opposite, you're going to need to use tangent, which is opp/adj.
tan(39) = [tex]\frac{x}{25}[/tex]
Find the tangent of 39...
0.8097 is the approximate value. So...
0.8097 = [tex]\frac{x}{25}[/tex]
Now, switch the sides to make it easier.
[tex]\frac{x}{25}[/tex] = 0.8097
Multiply both sides by 25.
x = 20.24