Answer:
443.14
Step-by-step explanation:
A=6ah+33a2
=6·4·15+3·3·42
≈443.13844
Answer:
I believe the answer is 88 if correct please consider brainliest
<3
Step-by-step explanation:
A factor delivered 284 boxes of books to stores. There are 20 books in each box. How many books did the factor deliver?
Answer:
284*20
Step-by-step explanation:
since there are 284 boxes of each 20 books, 1box = 20 books then 284 boxes = (284*20) books
If factor delivered 284 boxes of books to stores and 20 books in each box then the total number of books deliver by factor are 5680.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that a factor delivered 284 boxes of books to stores.
There are 20 books in each box.
We have to find the number of books the factor deliver
To find this we have to multiply the number of boxes with the number of books in a box
Number of books deliver = 284×20
Two hundred eighty four times of twenty
Number of books deliver =5680
Hence, if factor delivered 284 boxes of books to stores and 20 books in each box then the total number of books deliver by factor are 5680.
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A mute for a brass instrument is formed by taking a solid cone with a radius of 10 centimeters and an altitude of 20 centimeters and cutting off the top. The cut is made along a plane that is perpendicular to the altitude of the cone and intersects the altitude 6 centimeters from the vertex. Round your answers to the nearest hundredth.
What is the surface area of the original cone?
What is the surface area of the cone that is removed?
What is the surface area of the mute?
By using the formula for the area of a cone, we will get:
i) 942 cm^2ii) 84.78cm^2iii) 885.48cm^2How to get the surface areas?
First, let's find the area of the original cone. Remember that for a cone of radius R and height H, the surface area is:
A = pi*R^2 + pi*R*H
Then for the original cone where:
R = 10cm
H = 20cm
The area is:
A = 3.14*(10cm)^2 + 3.14*10cm*20cm = 942 cm^2
Now, we remove a smaller cone at 6 cm from the vertex, so we are removing a cone with height of 6 cm, and the radius of this cone is given by:
R' = R*(H'/H) = 10cm*(6cm/20cm) = 3cm
So the area of the removed cone is:
A' = 3.14*( (3cm)^2 + 3cm*6cm) = 84.78cm^2
The final area of the mute will be equal to the difference between the area of the original cone and the area of the removed cone, plus the area of the top cross-section (a circle of radius of 3cm)
A'' = 942 cm^2 - 84.78cm^2 + 3.14*(3cm)^2 = 885.48cm^2
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Name two sides that appear to be perpendicular
Step-by-step explanation:
Adjacent sides of a square and a rectangle are always perpendicular to each other. Sides of the right-angled triangle enclosing the right angle are perpendicular to each other.
HELP ASAP BEING TIMED! If Triangle J K L is congruent to Triangle B C A, which statement must be true?
A)Segment J K is congruent to Segment A B
B)Segment J K is congruent to Segment K L
C)Segment J L is congruent to Segment B A
D)Segment J L is congruent to Segment B C
Answer:
Choice C
Step-by-step explanation:
This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.
So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.
So first side:
BC is congruent to JK
So second side:
CA is congruent to KL
So third side:
JL is congruent to BA
The third side is one of our answer choices.
That answer choice is C.
Answer:
c
Step-by-step explanation:
The perimeter of a rectangle is $98,$ and the length of one of its diagonals is $41.$ Find the area of the rectangle.
Answer:
[tex]328units^2[/tex]
Step-by-step explanation:
First off, I do want to say that you could word this more easily.
98 is the perimeter. length is 41. width is 8.
the area is length*width for rectangles.
98-41=57
57-41=16
16/2=8
8*41=328 units^2
Find the number that makes the ratio equivalent to 1:9.
7:
Answer:
7:63
Step-by-step explanation:
It's a 1 to 9 ratio, which means the second number is 9 times bigger.
To make it equivalent, you need to make 7 9 times bigger as well.
7x9=63
Answer: 7:63
A circle has a diameter of
16". (4 pts.)
What is the approximate
Circumference?
What is the approximate area?
Show ur work 40 points!!
Answer:
Circumference = 50.24 units
Area = 200.96 units²
Determining the area of the circle:
The formula of finding the area of the circle is π(r)² or π(d/2)².
(Where "r" represents the radius and "d" represents the diameter)
In this case, we are given the diameter. Thus, we will use the formula π(d/2)². Simply substitute the diameter in the formula to determine the area of the circle.
⇒ π(D/2)² = Area of circle
⇒ π(16/2)² = Area of circle
⇒ π(8)² = Area of circle
⇒ π × 64 = Area of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ Area of circle ≈ 3.14 × 64
⇒ Area of circle ≈ 200.96 units²
Determining the circumference of the circle:
The formula of finding the circumference of a circle is 2πr or πd.
(Where "r" is radius and "d" is diameter)
In this case, we are given the diameter. Thus, we will use the formula πd. Simply substitute the diameter in the formula to determine the circumference of the circle.
⇒ πd = Circumference of circle
⇒ π(16) = Circumference of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ (3.14)(16) ≈ Circumference of circle
⇒ 50.24 units ≈ Circumference of circle
Write equations for the horizontal and vertical lines passing through the point (3,9)
Horizontal line:
Vertical line:
Answer:
Horizontal: y = 9
Vertical: x = 3
Step-by-step explanation:
Any point is given in the form (x,y). The first number is the x and the second number is the y.
Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--
y = 0x + b
y = b (a number, use the y-number from the point)
A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form
"x = anumber" Use the x from the point.
Horizontal line through (3,9) is y=9.
Vertical line through (3,9) is x=3
The sum of two numbers is 5/9.if one of the numbers is 1/3 find the other
Answer:
2/9
Step-by-step explanation:
The sum of two numbers is 5/9 can be expressed as:
[tex]\displaystyle \large{x+y=\dfrac{5}{9}}[/tex]
One of the numbers is 1/3. Find the other - this means that either x or y is 1/3 but that doesn’t matter as we can either let x = 1/3 or y = 1/3 via property:
[tex]\displaystyle \large{x+y = y+x}[/tex]
Hence, let x = 1/3:
[tex]\displaystyle \large{\dfrac{1}{3}+y=\dfrac{5}{9}}[/tex]
Solve for y - subtract both sides by 1/3:
[tex]\displaystyle \large{\dfrac{1}{3}-\dfrac{1}{3}+y=\dfrac{5}{9}-\dfrac{1}{3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1}{3}}[/tex]
We know that we can only evaluate the fractions if both have same denominator so what we have to do is to multiply 1/3 by 3 for both top and bottom:
[tex]\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1\cdot 3}{3\cdot 3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{3}{9}}\\\displaystyle \large{y=\dfrac{2}{9}}[/tex]
Therefore, the other number is 2/9
Answer:
The other number is 2/9
Step-by-step explanation:
"a" is the other number
The equation:
[tex]a+\frac{1}{3} =\frac{5}{9}[/tex]
Then
[tex]a=\frac{5}{9} -\frac{1}{3} =\frac{15-9}{27} =\frac{6}{27}[/tex]
simplifying the fraction:
[tex]a = \frac{2}{9}[/tex]
Hope this helps
What is the sum of 2/5 and 1/8
35 is 25% of_. Do not round your answer.
Answer:
140
Step-by-step explanation:
We already have our first value 35 and the second value 25. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
35 = 25% × Y
35 = 25/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:
Y = 35 × 100/25
Y = (35 × 100)/25
Y = 140
Finally, we have found the value of Y which is 140 and that is our answer.
Hope this is a better break down than before!
Answer:
140
Step-by-step explanation:
You can think of this as 35 = 25% of x.
25% = 0.25, so 35 = 0.25x.
You can multiply by 4 on each side to get
140 = 4(0.25)x which simplifies to
140 = x
Please help mee l don’t understand new topic please
Answer to first four-
first one- 2f+2f=60
4f=60
f=15
second one-18+2d=38
2d=20
d=10
(short side is 9)
third one-2a+a+5+a+5=26
4a+10=26
a=4
long side is 9
short side is 8
fourth one-3xy+3xy+xy=63
7xy=63
xy=9
long side is 27
HELP PLEASE!!!
What is the slope of the line that is perpendicular to the line -12x = 35 - 5y?
Answer:
y = 12/5 = x + 7
hope this helped
lol
Please help me solve this question !!!!!
Answer:
b and d and e
Step-by-step explanation:
7/doubles(2)/4weeks so you have to multiply the • means multiplication a another way to show multiplication.b-7×8(2×4)=56.d-7×2×2×2×2(2×4)=56.e-7×2×4(2×4=8)=56.
If y = sin(x)
Prove that dy/dx = y cot(x)
[tex]y=sin(x)\implies \cfrac{dy}{dx}=\boxed{cos(x)} \\\\[-0.35em] ~\dotfill\\\\ ycot(x)\implies \stackrel{y}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cfrac{cos(x)}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{cos(x)}[/tex]
Where is the blue dot on the number line?
Answer:
-2.1
Step-by-step explanation:
its a 0.1 step.
hope you understand
Say that the economy is in an expansion, causing wages to increase by six percent. if you previously received a monthly salary of $1,375.00, what will your new monthly salary be? round all dollar values to the nearest cent. a. $2,365.00 b. $1,604.17 c. $1,462.77 d. $1,457.50 please select the best answer from the choices provided a b c d
The new monthly salary will be $1,457.50.
You received a monthly salary of $1,375.00
Now by economy expansion, causing wages to increase by = 6%
Increment of the salary = 6% of 1,375.00
[tex]= \frac{6}{100} \times 1,375[/tex]
[tex]= 0.06 \times 1,375 =\$82.50[/tex]
What is the monthly salary?Monthly Salary means Employee's monthly salary, before deductions.
Therefore our new monthly salary would be
[tex]= $1,375.00 + $82.50\\ = $1,457.50[/tex]
Therefore our new monthly salary will be $1457.50.
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We have 2 1/3 cup of peanut butter. We are making peanut butter sandwiches. If we put 1/16 cup of peanut butter on each sandwich, how many complete/whole peanut butter sandwiches can we make?
The fraction computed shows that the number of peanut butter sandwiches that can be made will be 14.
How to compute the fraction?From the information given, it was stated that there are 2 1/3 cup of peanut butter and that they put 1/16 cup of peanut butter on each sandwich.
Therefore, the number of peanut butter sandwiches that can be made will be:
= 2 1/3 ÷ 1/6
= 7/3 × 6/1
= 14
In conclusion, the correct option is 14.
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Brittany has a black skirt, a violet skirt, a white skirt, and a red skirt. She has a yellow top, a pink top, and a green top. She wants to wear a skirt and a top. What are all the possible outcomes? How many possible outcomes are in the sample space?
7 possible outcomes: BB, VV, WW, RR, YY, PP, GG
12 possible outcomes: BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
7 possible outcomes: B, V, W, R, Y, P, G
12 possible outcomes: BY, BP, BG, BV, BW, BR, VY, VP, VG, VB, VW, VR
Answer:
B
Step-by-step explanation:
12:
BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
What is the vertex of the graph of the function f(x) = x² + 8x - 2?
(-4,18)
(0,-2)
(-8, -2)
(-4,-18)
Answer:
(4, -18)
Step-by-step explanation:
First Use this formula for the x -axis -b/2a
-8/2(1) is -4
Then plug in -4 to the equation
(-4)^2+8(-4)-2 = -18
Write the equation in point-slope form. (4,-2) ; m=1/2
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and slope,}~ m =\dfrac 12\\\\\text{Point - slope form,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-2) = \dfrac 12(x-4)\\\\\implies y+2=\dfrac 12(x-4)[/tex]
(4,-2) are points [tex](x_1, y_1)[/tex] respectively and [tex]\frac{1}{2}[/tex] is the slope
Point-slope:
[tex]y-y_1 = m(x-x_1)[/tex]
Now you have to replace the variables with numbers
[tex]y+2 = \frac{1}{2}(x-4)[/tex]
Thus your equation would be:
[tex]y+2 = \frac{1}{2}(x-4)[/tex]
Hope this helped!
The 8 students in the Environmental Club represent 5% of the students in the seventh grade. How many students are in the seventh grade? Multiply/scale up to solve.
There are 160 students in seventh grade. Divide the partial amount by the percentage of the partial amount to get the total amount.
How to find total Number ?A percentage is a number or ratio that is expressed as a fraction of one hundred. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.
A total is the result of adding several numbers together or counting how many items there are in a group. The total number or cost of something is the total number or cost obtained by adding or counting all of its parts.
Percentages can also be expressed as decimals or fractions, such as 0.6%, 0.25%, and so on. Academic marks are calculated in terms of percentages for any subject.
To Find the Total Amount :
In decimal form, identify the partial amount and the percentage of the partial amount.Percentage of partial amount in decimal form: 0.80 since 0.80 is the decimal form of 80%.Calculate the total amount by dividing the partial amount by the percentage of the partial amount.No. of student in seventh grade = 8/5 * 100 = 160
So, there are 160 students in seventh grade.
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Find the surface area of the can of milk at the right. [tex] \bold{Use \: π = 3.14}[/tex][tex] \red{*}[/tex]
The milk can is in the shape of a cylinder.
The surface area of cylinder is defined as the sum of curved surface and the two circular bases of the cylinder;
ㅤㅤㅤ➙ (curved surface ) + 2(base area )
ㅤㅤㅤ➙ 2πrh + 2πr²
ㅤㅤㅤ➙ 2πr( h + r )
Here, in this question we have;
radius ( r ) = 2/2 = 1 cm height ( h ) = 6 cmTherefore, Surface Area ( S.A ) :
➝ S.A = 2πr( r + h )
➝ S.A = 2 × π × 1 ( 1 + 6 )
➝ S.A = 2π ( 7 )
➝ S.A = 2 × 3.14 × 7
➝ S.A = 14 × 3.14
➝ S.A = 43.96cm²
Answer:
Surface area of cylindrical milk can is 43.96cm²
Step-by-step explanation:
Given :-
height of can of milk :- 6cm diameter :- 2 cm , radius :- 1cmTo find:-
Surface area of milk canSolution:-
formula for surface area cylindrical milk can :-
2πr(h+r)
putting the known values ,
2 × 3.14 × 1 (6+1) cm²
Surface area :- 43.96 cm²
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply. ∠Z ≅ ∠G and XZ ≅ FG ∠Z ≅ ∠G and ∠Y ≅ ∠E XZ ≅ FG and ZY ≅ GE XY ≅ EF and ZY ≅ FG ∠Z ≅ ∠G and XY ≅ FE
Answer:
∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
The additional information to prove that ΔXYZ ≅ ΔFEG using ASA or AAS
is ∠Z ≅ ∠G and XY ≅ FE
Option E is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔXYZ ≅ ΔFEG
We see that,
∠X and ∠F are equal
To prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
We need one more congruent angle and one corresponding side.
∠Z ≅ ∠G and XY ≅ FE can be used to prove this.
Now,
∠X = ∠F (angle) (given)
∠Z ≅ ∠G (angle)
XY ≅ FE (side)
ΔXYZ ≅ ΔFEG
Thus,
The additional information is:
∠Z ≅ ∠G and XY ≅ FE
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You are driving a 50 foot vehicle at night. although you are on the highway, a bad rainstorm is forcing you to creep along at 35 mph. you should keep ___seconds of distance between you and the vehicle ahead.
You should keep 0.97 seconds of distance between you and the vehicle ahead.
How to calculate the distance and time taken by a carThe formula for calculating distance is expressed as:
distance = speed * time
Time = Distance/Speed
Given the following parameters
Distance = 50 feet
Speed = 35mph = 51.3ft/s
Time taken = 50/51.3
Time taken = 0.97
Hence you should keep 0.97 seconds of distance between you and the vehicle ahead.
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If f(x)=2x-3 then find the expression given by f(a+h)-f(a)/h
[tex]\text{Given that,}~ f(x) =2x-3\\\\\dfrac{f(a+h) - f(a)}{h}\\\\=\dfrac{(2(a+h)-3)-(2a-3)}{h}\\\\=\dfrac{2a+2h-3-2a+3}h}\\\\=\dfrac{2h}{h}\\\\=2[/tex]
Joe is 1.6 m tall. His shadow is 2 m long when he stands 3 m
from the base of a floodlight. What is the height of the floodlight?
Answer:
Step-by-step explanation:
Use trigonometry to work out the size of angle y.
+
+
11 cm
у
6 cm
Answer:
17+y
Step-by-step explanation:
What is an angle that is supplementary to
I’m so close to being done with this so please help
Answer:
<GBF
Step-by-step explanation:
Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.
Hope this helps!
Marcel made an error when he used the distributive property to write an equivalent expression. which sentence describes the error? 32x−16====(8x⋅4)−(8⋅2)8x(4−2)8x(2)16x clear check both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses. 8x(2) does not equal 16x. 32x does not equal 8x⋅4. 32x and 16 have no factors in common
Answer:
I think he made a mistake in the first one
Step-by-step explanation:
Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b) in the form of (ac+bc).
The expression is:
= 32x - 16
= 8x(4) - 2(8)
= 8(4x - 2)
The error is "both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses"
Thus, Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.
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