Answer:
The area of the unpainted region on the four inch board = 160·√3 in.²
Step-by-step explanation:
Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram
The dimensions of the formed parallelogram are;
Interior angles = 60° and 120° (adjacent angles of a parallelogram)
Height, h of parallelogram formed = 4 inches
From the angle of crossing of the parallelogram, we have;
Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°
Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;
[tex]b = \frac{60}{cos(30)} = 40\cdot \sqrt{3} \ inches[/tex]
Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²
Hence, the area of the unpainted region on the four inch board = 160·√3 in.².
f(x) = 4^x-1; find f(3)
Answer:
f(3) = 63
Step-by-step explanation:
f(x) = 4^x-1;
Let x =3
f(3) = 4^3 -1
= 64-1
=63
Answer:
f(3)=16
Step-by-step explanation:
This question asks us to find f(3). We have to find what f(x), or y is, when x is equal to 3.
f(x)=4^x-1
Substitute 3 in for x.
f(3)=4^3-1
First, subtract what is in the exponents.
f(3)=4^2
4^2 is the same as multiplying 4, 2 times.
4^2=4*4=16
f(3)=16
Mark can make 42 birthday cakes in 7 days.
How many birthday cakes can Mark make in 5 days?
Answer:
30
Step-by-step explanation:
42 cakes = 7 days
? cakes = 1 day
= 6 cakes in one day
then just multiply by 5 days
answer: 30 cakes
Answer:
30
Step-by-step explanation:
If 30% of the students taking a module failed the practical test. The class has 130 students. How many students passed the test?
Answer:
91 students passed the test.
Step-by-step explanation:
130 / 10 = 13
13 x 3 = 39
130 - 39 = 91
Answer:
91 students passed the test.
Step-by-step explanation:
We need to find 10% of 130.
130÷10=13
Then we need to make it 30% in order to see the amount of students that failed the test.
13×3=39
Then we need to do 130 - 39 (The whole class- 30%)
130-39=91
a light bulb manufacturer finds that 4% of the bulbs it makes are defective. The quality control officer predicts that 700 bulbs will be defective out of 15,500 bulbs made. Do you agree? Explain.
Answer:
No, 4% is 620 light bulbs
Step-by-step explanation:
No, because 700 out of 15,500 is 4.5% not 4 %. 4% of 15,500 would be 620 light bulbs
the cost of fun for kids magazine for x number of months is shown below
If the cost (C) of another magazine, Family Fun, for x number of months is
given by C=1.99x, which magazine costs more?
Answer:
5 is the answer mate
Step-by-step explanation:
Find the value of c (x-2) is a factor of the polynomial p(x). P(x)=x^3-4x^2+3x+c
Answer:
c = 2
Step-by-step explanation:
P(x)=x^3-4x^2+3x+c
The polynomial has x - 2 as a factor
Rewriting the polynomial as:
x^3-4x^2+3x+c = x^3 - 2x^2 - 2x^2 + 4x - x + c =x^2(x - 2) - 2x(x - 2) - (x - c)As we see the first 2 terms have (x -2) as a factor, so the third term:
(x - c) = (x - 2) c=2Answer is c= 2
WILL MARK BRAINLIEST.
Answer:
option d
Step-by-step explanation:
The cross section of the rectangular prism is parallel to the base.
So, the length and width is congruent to the base. So, same length and width
A rectangular sign measures 8 m by 6.5 m. One litre of paint covers 14 square meters. How many litres of paint are needed to paint the sign with 2 coats of paint? (Answer to 1 decimal place)
Answer:
7.4
Step-by-step explanation:
find the area of rectangular sign8times6.5)=52,take if 1l=14m^2 what about 52 then multiply by 2which of the following changes represents a percent decrease?
a) 10 gallons to 24 gallons
b) 24 songs to 78 songs
c) 72 paper clips to 63 paper clips
d) 12 inches to 36 inches
Answer:
C
Step-by-step explanation:
Considering that C is the only decrease it would leave me to believe it is the correct answer.
If you borrow $3,000 on an 8% discounted loan for 9 months, how much will you
actually receive?
2820
Step-by-step explanation:
A soccer team orders 15 wooden pedestals to mount their brass trophies on. The design of each pedestal is shown below. The team is charged $0.12 per cubic inch of wood. What is the total cost of the order, rounded to the nearest dollar?
Answer:
$1193
Step-by-step explanation:
First we need to find the volume of one pedestal, that has a cylindrical part and a cubic part.
The volume of the cylindrical part is:
V1 = pi * r^2 * h
The radius is half the diameter, so r = 8/2 = 4 in. So the volume is:
V1 = pi * 4^2 * 3 = 48pi in3
The volume of the cubic part is:
V2 = side^3 = 8^3 = 512 in3
So the total volume of the pedestal is:
V = V1 + V2 = 512 + 48pi in3
If we want 15 pedestals, we have a total volume of:
15 * V = 15 * (512 + 48pi) = 9941.9467 in3
As each cubic inch costs $0.12, we just need to multiply the volume by the price to find the total cost:
Cost = 9941.9467 * 0.12 = $1193.03
Rounding to the nearest dollar, we have a cost of $1193
What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?
Answer:
Step-by-step explanation:
if m is the slope of given line.
Then eq. of parallel line through (-4,-6) is
y+6=m(x+4)
Answer:
y=-6
Step-by-step explanation:
The line shown is a horizontal line through the y-axis and has the equation y=4. A parallel line to it is a line that does not cross it. It will also have the form y=a where a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.
Pleaseeeeeeeeeee helppppppp i will mark brainlest
Answer:
b) 40
Step-by-step explanation:
By angle sum property of a triangle:
[tex] x°+20°+120°=180°\\
x°+140°=180°\\
x°=180°-140°\\
x° = 40°\\
\huge \red {\boxed {\therefore x = 40}} [/tex]
Answer:
B)40°
Step-by-step explanation:
Sum of angles in a triangle =180°
120°+20°+x°=180°
140°+×°=180
Collect like terms
x°=180°-140°
x°=40°
Suppose a raptor center has 12 great horned owls and 14 barn owls. If an owl is selected at random, what is the probability that a barn owl is selected? Find the closest percent.
Answer:
7/13 or 54% or about 0.54
Step-by-step explanation:
How much wood does it take to make a storage box that is
4 feet square on the bottom and 3 feet high, with a lid? Do
not count overlap.
A.80 ft
B.80 ft2
C.48 ft3
D.48 ft2
Hi :) I need help with the question in the screenshot if anybody knows it can you plz help I will giver brainliest, thanks and points!!!!
Drag each equation to the correct location on the table.
Classify the quadratic equations based on how many solutions they have.
Answer:
See below
Step-by-step explanation:
Quadratic equations with one solution are:
[tex] (x+2)^2 = 0, \:\: (2x-8)^2 = 0[/tex]
Quadratic equations with two solutions are:
[tex] (2x-11)^2 = 1 [/tex]
Quadratic equations with no solution are:
[tex] (x+2)^2 = - 4, \:\: x^2 + 6 = - 3[/tex]
Answer: EDMENTUM + PLATO
Step-by-step explanation:
Jakob was asked to write an equation and solve this problem. Max saved enough money to buy three tickets to a baseball game. If each ticket costs $18.75, how much money did Max save? Jakob’s work is shown below.
Answer:
$56.25
Step-by-step explanation:
We know that Max has just enough money to buy 3 tickets that each cost $18.75, so let's write the expression:
18.75 * 3
We just solve this by multiplication:
18.75 * 3 = $56.25
Max saved $56.25.
Answer:
$56.25
Step-by-step explanation:
His savings were equal to the cost of 3 tickets, therefore
Savings = 3 × 18.75
Savings = 56.25
Can someone help me with this
Answer:
Rectangle. length x width = area
10x4=40
triangle. base x height / 2 = area
3x4=12/2=6
40+6= a total of 46 square meters
Step-by-step explanation:
Which expression finds the measure of an angle that is coterminal with a 126° angle?
Answer:
Therefore the expression that finds the coterminal angles is:
[tex]coterminal = 126\º \pm 360[/tex]
Step-by-step explanation:
Coterminal angles are angles that finish at the same line. Therefore in order to find the coterminal angles with 126º we need to add or subtract a angle of 360º. So the expressions are:
coterminal angle = 126º + 360º = 486º
coterminal angle = 126º - 360º = -234º
Therefore the expression that finds the coterminal angles is:
[tex]coterminal = 126\º \pm 360[/tex]
Answer:
126° + (720n)°, for any integer n or D on edge :)
Step-by-step explanation:
Because me big brain
Which expression is equivalent to 2 × 2 × 2?
Answer:
2 to the power of 3
Step-by-step explanation:
What is the volume of the cylinder? Use 3.14 for piπ.
hight = 11 cm
Radius = 4 cm
Answer:
552.64 cubic centimeters
Step-by-step explanation:
The volume of a cylinder is:
[tex]\pi r^2 h=\\\\3.14 \cdot 4^2 \cdot 11=\\\\3.14 \cdot 176=\\\\552.64[/tex]
Hope this helps!
So the right answer is 552.64cm^3
look at the attached picture
Hope it will help you
Good luck on your assignment
not good with angles PLEASE HELP due very soon
Answer:
180 - 62 - 57 = 61
∠BAD = 180 - 61
∠BAD = 119°
Step-by-step explanation:
Each interior angle of a regular polygon is 140°.Find the number of sides of the polygon.
Answer :
9 sides
Explanation:
Step 1
Since the interior angle is 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
Step 2
Method 2: Since the exterior angle is 140°
The sum of the interior angles = (2n - 4) × right angles.
So 140n =(2n - 4) ×right angles, or we can also say
140n =(2n - 4) × 90
140n = 180n - 360
40n = 360
Divide both sides of the equation by 40
n = 9 sides.
n = 9 sides.Hence the number of sides is 9 sides.
A.reflection
B. Glided reflection
C. Rotation
Answer:
A
Step-by-step explanation:
The shape was reflected across the purple line
Answer:
Reflection
Step-by-step explanation:
Pleaseeeeee helpppppppp i will mark brainlest
Answer:
a. x = 61 degrees.
Step-by-step explanation:
By the External angle of a Triangle Theorem:
116 = 55 + x
x = 116 - 55
x = 61 degrees.
Answer:
a) 61
Step-by-step explanation:
The classic way to do this is to subtract 116 from 180, then adding that result to 55 and subtracting this second result from 180.
But another way that I have discovered is to subtract 55 from 116. You will get the same answer of 61.
Please help!
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a 4?
Simplify your answer and write it as a fraction or whole number.
Answer:
The probability of first landing on a 4: P = 1/4
The probability of second landing on a 4: P = 1/4
Applying the multiplication rule:
=> The probability of landing on a 4 and then landing on a 4:
P = (1/4) x (1/4) = 1/16
Hope this helps!
:)
A number is chosen at random from 1 to 50. Find the probability of selecting multiples of 12.
Answer:
P(multiples of 12)=1/25
Step-by-step explanation:
Multiples of 12: 12, 24, 36, 48
That is 4/50=1/25
What do u add to 5 4/9 to make 8
Answer:
erm
Step-by-step explanation:
2 5/9
Answer:
2 5/9
Step-by-step explanation:
8-5 4/9=2 5/9
the sum of four consecutive integers is 34. find the least of the numbers
Answer:
7
Step-by-step
n=smallest integer; n+1=second integer; n+2=third integer; n+3=fourth integer
n+(n+1)+(n+2)+(n+3)=34
4n+6=34
4n=28
n=7 ANSWER: The smallest integer is 7
CHECK:
7+8+9+10=34
34=34
the least of the four consecutive integers is 7.
Let's denote the four consecutive integers as x, x + 1, x + 2, and x + 3.
According to the given information, the sum of these four consecutive integers is 34:
x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) = 34
Simplifying the equation:
4 x + 6 = 34
Subtracting 6 from both sides:
4 x = 28
Dividing both sides by 4:
x = 7
The four numbers are 7, 8, 9, 10
Therefore, the least of the four consecutive integers is 7.
Learn more about consecutive integers here
https://brainly.com/question/29123756
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The base 10 log table shows that the value of log10^50 is about 1.69897. explain or show why it makes sence that the value is between 1 and 2
Answer:
Step-by-step explanation:
Given
[tex]\log _{10}\ 50=1.69897[/tex]
and we know that
[tex]\log _a\ a=1[/tex]
therefore
[tex]\Rightarrow \log _{10}\ 10=1[/tex]
and [tex]\Rightarrow \log _{10}\ 100=\log _{10}\ 10^2=2[/tex]
and [tex]50[/tex] lies between [tex]10[/tex] and [tex]100[/tex] . So, its value must lie between [tex]1[/tex] and [tex]2[/tex]