Answer:
The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps
Step-by-step explanation:
Florence Tyler invests $5000 in a 1-year CD that earns interest at an annual rate of 4% compounded monthly. The amount per $1.00 is 1.040742. What is the interest earned?
Answer:
$203.71
Step-by-step explanation:
Given;
Principal = $5,000
The amount per $1.00 is given as 1.040742
The total amount earned is equal to the product of the principal and the amount per dollar.
A = Principal × amount per dollar
Substituting the values;
A = $5000 × 1.040742
A = $5203.71
Interest earned = Total amount earned - principal
Interest earned = $5203.71 - $5000
Interest earned = $203.71
help me please !!!!!!
Answer:
256 ft^250 ft^225 ft^2281 ft^2Step-by-step explanation:
Prism Area
The total surface area of a rectangular prism is given by ...
SA = 2(LW +H(L +W))
For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...
SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))
= 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1
__
Pyramid Lateral Area
The lateral area of the pyramid is 4 times the area of one triangular face:
LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2
__
Pyramid Base Area
The area of the square base of the pyramid is the square of the length of one edge:
B = (5 ft)^2 = 25 ft^2 . . . blank 3
__
Total Exposed Area
The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.
total exposed area = (exposed prism area) + (pyramid lateral area)
= (prism area) - (pyramid base area) + (pyramid lateral area)
= 256 ft^2 - 25 ft^2 + 50 ft^2
total exposed area = 281 ft^2 . . . blank 4
Draw a quadrilateral ABCD with AB = 8.5cm, BC =4.5cm, CD =5cm , DA = 6cm , BD =7.5cm. Draw an equal area Triangle
Answer:
Check below please
Step-by-step explanation:
A quadrilateral is a polygon with four sides.
Then let's plot it, check it below.
1) Since 5 line segments were given for a quadrilateral, one of them is an interior one. In this quadrilateral, a rhombus. We have a diagonal, id est a line segment between non-consecutive points.
2) Let's calculate the area of this rhombus. Since this polygon is made up of two triangles let's find it using Heron's Formula, not very popular. But equally valid, also we don't have the height nor angles.
All we need is the semi-perimeter, (half of the Perimeter (2P) and plug it in the formula:
[tex]\bigtriangleup ABD semi-perimeter:\frac{6+8.5+7.5}{2} \therefore s=11\\Area \:\bigtriangleup ABD=\sqrt{11(11-6)(11-8.5)(11-7.5)}=\frac{5\sqrt{77}}{2} \approx21.94 cm\\\\\bigtriangleup \:BCD\: semi-perimeter:\frac{4.5+5+7.5}{2} \therefore s=8.5\\\\Area \bigtriangleup BCD=\sqrt{8.5(8.5-4.5)(8.5-5)(8.5-7.5)}=\sqrt{119}\approx 10.90[/tex]
[tex]Area\: of\: Rhombus\: ABCD=21.94+10.90=32.84 cm^2[/tex]
3) Well, now we need to trace a triangle whose area is 32.84 cm^2. From the classical formula for Area of Triangles we can write:
[tex]\frac{b*h}{2}=32.84 \therefore b*h=65.68[/tex]
Let's find out two values one for the base and another for height. Since 65.58 can be divided both by two and three, it is divisible by 6.
So
[tex]65.58 : 6 =10.93\\b=6\\h=10.93[/tex]
What is the product (40 + (-10))((36 + (-9))(32 + (-8))...(-32 + 8)(-36 + 9)(-40 + 10) where the first number in each factor is decreasing by 4 and second number in each factor is increasing by 1?
Answer:
0
Step-by-step explanation:
The first number is 40 and decreases by 4 in each factor, and the second number is -10 and increases by 1 in each factor.
The first number is positive and decreases by 10% its value in each factor, and the second number is negative and increases by 10% its absolute value in each factor. That means we will have a factor where both numbers are 0 (in the 11th value, we will have the first number 40 - 4*10 = 0 and the second number -10 + 1*10 = 0), so the factor will be 0 + 0 = 0, and then whole product will be zero.
An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b.
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
The side labeled "a" is made the longer side. These are the two congruent sides. So a > b.
We are told that the longer side is 6.3, so a = 6.3, meaning that
2a+b = 15.7
2(6.3)+b = 15.7
12.6+b = 15.7
b = 15.7-12.6
b = 3.1
The triangle has sides of: 6.3, 6.3, 3.1
The perimeter is 6.3+6.3+3.1 = 15.7
Going back to the question "which equation can be used to find the length of the base?", it sounds like either you were given a list of multiple choice answers, or you just fill in the blank. If multiple choice, then try to see which answer matches with what I wrote above. If fill in the blank, then I would just enter either 2(6.3)+b = 15.7 or 12.6+b = 15.7
Answer:
2(6.3)+b = 15.7 or 12.6+b = 15.7
Step-by-step explanation:
The 3rd and 6th term of a
linear sequence are 16 and
34 respectively. Find the
sum of the first six terms.
Answer:
hope this helps
Which is the equation of the graphed line written in standard form? y = x x – x minus StartFraction one-half EndFraction y equals 0.y = 0 x – y = 0 y = y equals StartFraction one-half EndFraction x.x
Answer:
its is C. X-Y= 0
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
plz let me know if this is incorrect
5x + 3 = 7x – 1
what is x
Answer:
First lets subtract 3 from both sides. That gives us 5x = 7x-4. Then lets move the -4 to the other side reversing the sign. 5x+4=7x. Now lets subtract 5x from both sides. That will give us 2x = 4. Now all we need to do as a last step is divide by 2. That will give us x = 2. That is how you solve it in a nutshell
brainliest?
I hope you liked my answer!
ABC is similar to APQ. Find x and y.
Answer:
x = 10.8
y = 11.2
Step-by-step explanation:
AB : AP = AC : AQ
5 :(5+9) = 6 : (6+x)
5: 14 = 6 :(6+x)
5(6+x) = 14*6
30 + 5x = 84
5x = 54
x = 10.8
AB : AP = BC :PQ
5 :14 = 4 : y
5y = 14*4
y = 11.2
A line passes through (-1,7) and (2,10) which answer is the equation of the line
Answer: -x + y = 8
Step-by-step explanation:
So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.
Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.
Lets plug in (2,10)
10 = 2 + b
10 - 2 = b
b = 8
So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.
-x + y = 8
What is the value of x? Round to the nearest tenth and show your work
Answer: A. mark as brainliest
Step-by-step explanation: dont need to
what is the slope-intercept equation for the line below
Answer:
A
Step-by-step explanation:
If I'm completely honest I'm not really sure of this cause I hv another way of doing this...
,
Matías compró un cuarto kilogramo de jamón y lo utilizó para hacer tres tortas así No sobró y a cada torta le puso la misma cantidad de jamón cuánto le tocó a cada torta
Answer:
The amount of ham in each cake = 1/12 kg
Question:
Matías bought a quarter kilogram of ham and used it to make three cakes like that. There was no leftover and he put the same amount of ham in each cake, how much he touched in each cake.
Step-by-step explanation:
Matías bought = 1/4 kilogram of ham
1/4 kilogram of ham = 3 cakes
There was no remainder
the same amount of ham is in each cake.
To find the amount of ham in each cake, we need to know the fraction of ham in each cake.
Since 3cakes = 1/4kg
1cake = (1/4kg×1cake)/3cakes
= 1/4kg ÷ 3 = 1/4 × 1/3
The fraction of ham in each cake = 1/12
The amount of ham in each cake = 1/12 kg
Wayne charges the following for repairing washing machines:£28 call out charge +£16 for each half-hour he spends on the repair what will the total cost be for a repair which takes one and a half hours?
Answer:
The cost for a repair that takes one and a half hour is £52
Step-by-step explanation:
We can create a function that relates the value Wayne charges in function of the time it takes for him to fix the washing machine in hours. Since there's a fixed cost of 28 and another charge that is variable of 16 per half hour, then the function below represents the cost of the repair:
[tex]cost(t) = 28 + 32*t[/tex]
In this case the variable value "16" was multiplied by two, because it's easier when the time is given in hours and every hour contains two half-hours. If the repair took 1.5 h, then:
[tex]cost(1.5) = 28 + 16*1.5\\cost(1.5) = 52\\[/tex]
The cost for a repair that takes one and a half hour is £52
The length of a field in yards is a function f( n ) of the the length in n feet. Write a function rule for this situation.
Answer:
[tex]f(n)=\frac{1}{3}n[/tex]
Step-by-step explanation:
To convert from feet to yards, divide by the value 3.
Please please help!!!!
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Click on the correct answer
A.
(-4,1)
B.
(0,-4)
C.
(-4,0)
D.
(1,-4)
Please help me with math
Answer:
SA: 456
V: 408
Step-by-step explanation:
To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!
Please help meeee !!
Answer:
The answer is B
3a² . 2a³ find the product
Answer:
[tex]6a^{5}[/tex].
Step-by-step explanation:
To multiply exponents, you will need to begin by multiplying the coefficients as normal. In this instance:
3 · 2 = 6.
When multiplying exponents, however, remember that you must ADD the exponents. Therefore:
3a² · 2a³ = [tex]6a^{5}[/tex]
Find the number missing from the following equivalent fractions: 12/16= 3/?
Answer:
4
Step-by-step explanation:
Whatever you multiply or divide to the numerator, you do to he denominator.
Here, 12 was divided by 4 to obtain 3 in the other fraction. So, the missing number has to be 16 divided by 4, which gives 4
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
In this question we are presented with [tex]\frac{12}{16}[/tex] and we want to simplify to have a numerator of 3. When simplifying fractions it's important to do the operation on both the numerator and the denominator so,
[tex]\frac{12}{16}[/tex] → Half the numerator and the denominator → [tex]\frac{6}{8}[/tex] → Half the numerator and the denominator again → [tex]\frac{3}{4}[/tex]
Dawn raises money for her school in a jog-a-thon. She will get three dollars for every lap she completes. If it takes 4 laps to jog 1 mile, and Dawn jogs a total of 12 miles, how much money will Dawn raise for her school?pls help
Answer:
$144
Step-by-step explanation:
[tex]\dfrac{\$3}{\text{lap}} \cdot \dfrac{4\text{ laps}}{\text{mile}}\cdot 12\text{ miles} =[/tex]
[tex]\boxed{\$144}[/tex]
Hope this helps!
Help idk how to solve this
[tex]answer \\ = 4 \\ solution \\ to \: find \: the \: value \: of \: x \\ in \: an \: equilateral \: triangle \: all \: interior \\ angles \: are \: equal \: and \: measures \: 60 \: \\ degree. \\ 10x + 20 = 60 \\ or \: 10x = 60 - 20 \\ or \: 10x = 40 \\ or \: x = \frac{40}{10} \\ x = 4 \\ hope \: it \: helps[/tex]
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
in a equilateral triangle all the interior angles are equal and measure 60 degrees,
will solve now,
[tex]10x + 20 = 60 \\ 10x = 60 - 20 \\ 10x = 40 \\ \frac{10x}{10} = \frac{40}{10} \\ x = 4[/tex]
hope this helps
What is the slope of the line that passes through the points (4,7) and (5,3)?
I will be showing you the graphing method.
To find the slope of the line using the graphing method,
we start by plotting our two points.
We will call (4,7) point A and (5,3) point B.
Now daw a line that contains these points.
Now remember that the slope or m is equal to the rise/run.
So to get from point A to point B, we rise -4 units
and run 1 unit so our slope is -4/1 or -4.
What two integers multiply to be 20 and add to be 12
Answer:
10 and 2
Step-by-step explanation:
[tex]10*2=20\\\\10+2=12[/tex]
Answer:
10 and 2
Step-by-step explanation:
Use trial and error method Or, I recommend finding the factors of 20.
The first ones that come to mid would be:
10, 2
4,5
20,1
Then we try each of them out, by adding the corresponding factors.
this way, we see that 10 and 2 are the only ones.
Please mark brainiest
Use cross products to identify the equation needed to solve this proportion: 5/x = 2/9
Answer:
x=22.5
Step-by-step explanation:
We are given the proportion:
5/x=2/9
Cross multiply. Multiply the numerator (top number) of the first fraction by the denominator (bottom number) of the second. Then multiply the denominator of the first by the numerator of the second.
5*9=2*x
45=2x
2 and x are being multiplied. The opposite of multiplication is division. Divide both sides by 2. This will cancel out the 2 being multiplied by x, and leave x by itself.
45/2=2x/2
45/2=x
22.5=x
If we substitute 22.5 in for x, the final proportion will be:
5/22.5=2/9
Answer: 22.5 = x
Step-by-step explanation: First, write the problem, 5/x = 2/9. Next, cross multiply. Write the equation, 5 x 9 = 2x. After, write the equation in a multiplying fraction sentence. 45/2 = 2x/2. Lastly, solve for x by dividing 45 by 2. You should end up with a result of 22.5 = x.
In one hour, Frank earns the money shown below. How much does he earn in 7 weeks if he works 3 hours each week?
↓↓
$12
↑↑
ITS DUE TODAY HELP PLEASE
Answer:
$252
Step-by-step explanation:
If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks
B oranges cost 60c. How much will 7 oranges cost
Answer: 53 c
Step-by-step explanation:
If 8 oranges cost 60c
7 oranges will cost (7 x 0.60) / 8 = 0.53
Graph the solution of this inequality:
350 > 125 + 15.r
Unfortunatly brainly does not provide me with graphics support.
First thing to realise is that we are dealing with inequality which essentially means that the solution will be an interval or more specifically a possibly constrained set of value.
Here is the inequality:
[tex]
350 > 125 + 15r
[/tex]
If we subtract 125 and then divide by 15 on both sides we get:
[tex]
r > 15
[/tex]
This notation essentialy means that inequality is true for any r smaller than 15. We can write that as r being in some set of numbers that represents the possibilites:
[tex]r\in\{14,13,12,\dots,-\infty\}[/tex]
In interval notation that is:
[tex]r\in(-\infty,15)[/tex]
what is the c value?
answer in x= form
If PQRS is a rhombus, which statements must be true? Check all that apply.
Answer:
Options (B), (C) and (F) are correct.
Step-by-step explanation:
Properties of a rhombus,
1). All sides of a rhombus are equal in measure.
2). Both the diagonals of a rhombus are the perpendicular.
3). Diagonals bisect the vertex angles.
By these properties of a rhombus,
Option (B): PR is perpendicular to QS.
Option (C): ∠QPR ≅ ∠SPR
Option (F): PQ ≅ QR
Therefore, options (B), (C) and (F) are correct.
Answer:
B, C, F, and E are all correct.
Step-by-step explanation: