Answer:
C.
Step-by-step explanation:
Yes, because the area of the base of a triangular pyramid with equilateral triangles for faces is the same as the area of each face.
So the surface area is 64 * 4 which is 256
Which construction is being shown in the diagram?
A) Copy an angle
B) Copy a triangle
C) Construct an equilateral triangle
D) Construct the bisector of an angle
Answer:
Correct answer is option D) Construct the bisector of an angle.
Step-by-step explanation:
Angle bisector of an angle is a line that divides the angle in two equal parts.
A Line BD is called the angle bisector of [tex]\angle ABC[/tex] if
[tex]\angle ABD = \angle CBD[/tex]
Please refer to image attached.
As per the question image, if the line PW is joined it will be the angle bisector of [tex]\angle QPR[/tex].
Steps of construction of angle bisector:
1. Draw the angle QPR.
2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.
3. With the same compass opening, put the compass on Q and make an arc in the area between [tex]\angle QPR[/tex].
4. Draw an arc keeping the compass on R to cut the previous arc on point W.
Line joining the points P and W is the angle bisector of [tex]\angle QPR[/tex].
So, Correct answer is option D) Construct the bisector of an angle.
Answer: Option d
Step-by-step explanation: just took test
How many solutions exist for the given equation? 3(x – 2) = 22 – x zero one two infinitely many
Answer:
one solution
Step-by-step explanation:
Given
3(x - 2) = 22 - x ← distribute parenthesis on left side
3x - 6 = 22 - x ( add x to both sides )
4x - 6 = 22 ( add 6 to both sides )
4x = 28 ( divide both sides by 4 )
x = 7
An equation can either have a solution, no solution or infinite many solutions
The equation has one solution.
The equation is given as:
[tex]\mathbf{3(x - 2) = 22 - x}[/tex]
Open bracket
[tex]\mathbf{3x - 6 = 22 - x}[/tex]
Collect like terms
[tex]\mathbf{3x + x = 6 + 22}[/tex]
Evaluate like terms
[tex]\mathbf{4x = 28}[/tex]
Divide both sided by 4
[tex]\mathbf{x = 7}[/tex]
The above equation is true for x = 7
This means that: the equation has one solution.
Read more about equation solutions at:
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A nutrition label states that the item contains 8 % the daily recommended amount of fiber. Rewrite this percent as a fraction
in simplest form.
Answer: 2/25
Step-by-step explanation:
maria collects data from a random sample of 7th graders in her school and finds out 16 out 20 7th graders participate in after school activities, how many students should maria expect to participate in after school activities if 240 total 7th graders attend maria’s school?
Answer:
192
Step-by-step explanation:
ratio of 16/20
cross multiple with x/240
20x=3840
divide
192
Determine whether 25a^2 − 49b^6 is a difference of two squares. If so, factor it. If not, explain why.
A. It is not a difference of squares because −49b^6 is not a perfect square.
B.(5a + 7b^3)(5a − 7b^3)
C.(5a − 7b^3)(5a − 7b^3)
D.(5a − 7b^6)(5a + 7b^6)
Answer:
Step-by-step explanation:
it is
B
A computer manufacturer sells his products at 40% higher then it costs to make. what is the selling price of the computer given the cost to make it?
pzzzzzzzzz help me !!!!!!!!!!!!!!!
Multiply how much he is selling it for by 1.40 and you will get your answer
PLEASEEEE HELP!! OFFERING 25 POINTS!!
Answer:
I havent seen questions like this many times so here is solving for b
b=-2x
Just factor and solve.
Answer:
15
Step-by-step explanation:
help me please, its due at night today!!!
Answer:
Step-by-step explanation:
Area of polygon = area of square + area of triangle
Square:
Side = 12 cm
Area of square = side *side
= 12 * 12
= 144 sq.cm
Triangle:
base (b) = 12 cm
Height h = 19 cm
[tex]Area =\frac{1}{2}bh\\\\=\frac{1}{2}*12*19\\[/tex]
= 6 * 19
= 114 sq.cm
Area of polygon = 144 + 114 = 258 square cm
Identify the conclusion of the statement.
If a number is negative, then the number is less than zero.
A) a number is negative
B) a number is positive
C) the number is less than zero
D) the number is greater than zero
Answer:
C) the number is less than zero
Step-by-step explanation:
In an if ..., then ... statement, the conclusion is the phrase following "then."
Here, we have ...
If a number is negative, then the number is less than zero.
__
The conclusion is formatted in bold italics.
If 108 people attend a concert and tickets for adults cost $4 while tickets for children cost $2 and total receipts for the concert was $328, how many of each went to the concert?
Answer method 1
81 adults and 2 child.
Answer method 2
Therefore 69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending
69 : 60 = 276: 120 = 3.02 distribution.
69 x £4 = $276 + 60-18 = 42 = 42 x 2 = $84
Combined = $276+$84 = $360
We find that an extra 8 adults didnt pay either.
Making this 69 adults and 60 children where 8 adults didn't pay and 18 children didn't pay. This way this create an average 3.02 for the 108 people attending.
3.02 x 108 = $326
80 adults and 8 child
We use ratio of 108 attendees = 328/108 = 3.03 average price which shows ratio child to adult 1:2
31 adult +42 child = $124 and $82 children = $208 children
38 more adults = 38 x 4 = 120 + 36 = $156 = (38 +18 children) = $156
= $364 - 36 = 6 child not paying = 12 and 6 adults not paying = 21
Therefore 69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending
of 48 paying and attending and the other 40 children potentially being non payers and part of
Step-by-step explanation:
4+2 = 6
8+2 = 10
4+4 = 8
We look for 80+ 28 and see 8+2 accounts for 4 adults 2 child = $20
We minus the 20 in workings and realize only when we work out 80 x 4 = 320 that only 2 child was needed and not 6 child for $12 of the 28. Because of me thinking 28 was a distribution, such resource of 4 + 1 adults became just 1 extra adult and 1 extra child.
Simply as I was chasing distribution of $24
8 of 24 was kept as
8 accounts for 1 adult and 2 child. = $8
80 accounts for 60 x $4 adults = $240 + 20 x 4 = $80
240+80=320
= $320 +$20 + $8 (-$20) = $328
Here we did not have to count back to find the correct amount only go steady with 80 distribution for 81 adults and only 2 child.
Marco wants to put a decorative boarder around the edge of his circular herb garden. He finds that the distance from the garden’s edge to its center is 42 inches. The store only sells the material in 1 foot increments. How many FEET of material should Marco buy to completely surround the garden?
Answer:
4 feet or 3.5 feet
Step-by-step explanation:
if 12 inches equals a foot then you divide 42 by 12
which gives you 3.5
Factor
x2 + 16x + 60
Answer:
(x+10) (x+6)
Step-by-step explanation:
x^2 + 16x + 60
Factor
What 2 numbers multiply to 60 and add to 16
10*6 = 60
10+6 = 16
(x+10) (x+6)
Simplify the expression. 5k(-6k^2 -2k+6)
Answer:
-30k^3-10k^2+30k
Step-by-step explanation:
What is the solution to equation 3 1/2 + p = 5 1/4?
a. p = 3/4
b. p = 2 3/4
c. p = 1/4
d. p = 1 3/4
The value of p is 1 3/4
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]p = 1\frac{3}{4} [/tex]
Answer D is correct
Step-by-step explanation:
[tex]3 \frac{1}{2} + p = 5 \frac{1}{4} \\ \frac{7}{2} + p = \frac{21}{4} \\ p = \frac{21}{4} - \frac{7}{2} \\ p = \frac{21 - 14}{4} \\ p = \frac{7}{4} \\ p = 1 \frac{3}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the area of this figure?
Answer:
50
Step-by-step explanation:
Answer:
area of rectangle = l×b
total area = (11×6) + (8×4)
= 66 + 32
= 98in.sq
What is the sum of the fractions? Six 2/3 + 1/9
Answer:
6 7/9 i think
So the right answer is 6 7/9
Look at the attached picture
Hope it will help you
Good luck on your assignment
If MNOP is rectangle and m
Answer:
the value of x° is also 60°
B
Answer:
60
Step-by-step explanation:
n would be 60 and a triangle is 180
Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.
Theoretical Probability
number of ways the event can occur
number of ways the event can occur P(event) = _____________________________________
total number of equally likely outcome
A bag contains 6 red marbles and 12 blue ones. You select one marble at random from the bag.
(1)What is the probability that you select a red marble? Write your answer in the simplest form
(2) What is the probability that you select a blue marble? Write your answer in the simplest form
1. The probability that we select a red marble is 1/3.
We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.
6/18 = (6/6)/(18/6)
(6/6)/(18/6) = 1/3
So, therefore, the theoretical probability of picking a red marble is 1/3.
2. The probability that we select a blue marble is 2/3.
We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.
Greatest Common Factor of 12 and 18 = 6
12/18 = (12/6)/(18/6)
(12/6)/(18/6) = 2/3
Thus, the theoretical probability of picking a blue marble is 2/3.
Suppose you want to finish running errands by 4:00 pm. Shopping will take 20 minutes. Eating will take 25 minutes. You will meet with a friend for 15 minutes. And your travel time will be a total of 20 minutes. When should you START your errands?
Answer:
2:50 pm
Step-by-step explanation:
In order to find the amount of time it takes to complete your errands, we first have to find the time it takes to complete them.
20+25+15+10=45+25=70
So, it will take 70 minutes, or 1 hour and 10 minutes to complete your errands.
We need to find what time 1 hour and 10 minutes before 4:00 is. So, one hour before 4:00 is 3:00. Then, 10 minutes before 3:00 pm is 2:50. Therefore, you have to start your errands at 2:50 pm.
PLEASE HELP!!!!???: Simplify the expression 13 + (14 + x).
Answer:
27+ x
Step-by-step explanation:
Answer: 27 + x
Step-by-step explanation:
Add 13 + 14, which = 27
Now you are left with 27 + x
Can someone please help me? Find the area of the three triangles in the picture. (A-C)
Answer:
A:
12
B:
16
C:
12
Step by Step Solution:
The picture has the question and possible answers
Answer:
maybe the fourth one....
Which is the graph of f(x) = 3x.
Answer:
Step-by-step explanation:
The
x
-intercepts are
(
0
,
0
)
and
(
3
,
0
)
because
3
x
−
x
2
=
0
factored equals
(
x
)
(
x
−
3
)
=
0
When each of the parenthetical expressions is set equal to zero, you get
x
=
0
and
x
=
3
The vertex is
(
3
2
,
9
4
)
because the
x
-coordinate of the vertex is
x-coord. vertex
=
−
b
2
a
=
−
3
2
(
−
1
)
=
3
2
Then, you plug
3
2
into the equation for
x
and get
f
(
3
2
)
=
3
(
3
2
)
−
(
3
2
)
2
=
9
4
the graph of f(x) = 3x will be a Line.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a equation f(x) = 3x
Comparing with the slope-intercept form of the graph:
We can see the slope of the line will be 3 and since the y-intercept is 0
Since Function f(x) will be a linear equation
Therefore, its graph would be a line.
Learn more about Linear equations here:
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Show an equilateral triangle place on the coordinate system. Label the coordinates of the vertices using one variable? Plz help need soon
Answer:
the answer is (1,5,6,35) or (1.5,-2,33
Step-by-step explanation:
5. What is the approximate height of the cylinder?
Use 3.14 for 77, and if necessary, round to the
nearest tenth.
10 ft
? ft
V = 314 ft3
Answer:
Height of the cylinder is 1ft
Step-by-step explanation:
Data ;
Volume = 314ft³
Assuming radius = 10ft
Height = ?
π = 3.14
Volume of a cylinder = πr²h
r = radius
h = height of the cylinder
Vol = πr²h
314 = 3.14 × 10² × h
314 = 314h
Solve for h,
h = 314 / 314
h = 1ft
The height of the cylinder is 1ft.
How many trades of Apple were made
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4
2. 40x - 16
3. 4 - 12 + (2x - 3x)
4. -8(x+1)
Answer:
the correct one is 1. 16x - 12(1 + 2x) + 4
Step-by-step explanation:
16x−12−24x+4 is equivalent to 8x-8
1. 16x - 12(1 + 2x) + 4 is equivalent to 8x-8
2. 40x-16 is equivalent to 8(5x−2)
3. 4 - 12 + (2x - 3x) is equivalent to −x−8
4. -8(x+1) is equivalent to −8x−8
Which number below is a prime number?
O A. 18
O B. 12
O c. 17
O D. 28
Answer: 17 is the only prime number
Step-by-step explanation:
Answer:
C 17
Step-by-step explanation:
A. 18 = 2*9 so not prime
B. 12 = 3*4 so not prime
c. 17
D. 28 = 4*7 so not prime
17 = 1*17 so the only numbers are 1 and itself so it is prime
4/3=8/x-1
What is the answer?
Answer:
7
Step-by-step explanation:
x - 1 would have to equal 6 in order for this expression to be true at 8/6 will simplify to 4/3.
x - 1 = 6
add 1 to both sides to get
x = 7
Please mark me as brainliest if this helped. Thank you!
Answer:
[tex] x= 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the equation of the circle in general form
Answer:
(x - 3)^2 + (y - 5)^2 = (√89)^2
Step-by-step explanation:
Well if you estimate, you can see that the circle touches one point at (-5, 0) and the center is at about (3, 5).
The standard equation for the circle is (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center.
So, you can start by plugging in the center. (x - 3)^2 + (y - 5)^2 = r^2
Now, all you have to do is find the radius.
You can do this by connecting the point (-5, 0) to the center.
You will have to use the distance formula:
√(-5 - 3)^2 + (0 - 5)^2 = √64 + 25 = √89
The final equation will be (x - 3)^2 + (y - 5)^2 = (√89)^2
This is the general idea, but my answer may not be correct, so check my steps.