32 x 43
A 4
B 5
C 6
D 7
We take the information from the text given, to find the number of pieces.
We have that:
Doing this, we get that the number of pieces is 7 pieces, option D.
Sum:
The entire fraction pie is:
The entire fraction is 1, so:
How many pieces of pie are there?
We have to solve the equation for n, so:
6 pieces at 1/8, and the 7th at 1/4. Thus, there are 7 pieces, and the correct answer is given by option D.
A similar question is given at brainly.com/question/21359576
Answer:
D
Step-by-step explanation:
1/4 of the pie is one piece. This leaves 3/4 of the pie. Each remaining piece is 1/2 of the larger quarter piece. The smaller pieces are 1/8 of the pie.
The fraction 3/4 = 6/8.
This makes 6 smaller pieces. each of 3 quarters is split in half.
6 + 1 = 7.
7 pieces in all.
If you do not like arithmetic, draw a picture. Split the pie in quarters. Cut all except for one of them in half. This gives 7 pieces.
What is m∠B?
_________ °
Answer:
Measure of ∠B is 60°
Step-by-step explanation:
Given triangle ABC is similar to triangle QRS.
m∠A = 45° and m∠S = 75°
we have to find the measure of ∠B.
As triangles are similar then corresponding angles are congruent.
⇒ ∠A≅∠Q, ∠B≅∠R, ∠C≅∠S
hence, m∠C=m∠S=75°
By angle sum property
m∠A+m∠B+m∠C=180°
⇒ 45°+m∠B+75°=180°
⇒ m∠B+120°=180°
⇒ m∠B=60°
hence, measure of ∠B is 60°
A fence is placed along the entire perimeter of the triangular garden. The roll of fencing is 40 ft long.
Part B: Write a simplified expression to show the amount of fencing, in feet, which is left from the roll of fencing.
Answer:
13. The slope for a line that is perpendicular to the line y=4x+8 is -1/4
14. The slope for a line that is perpendicular to the line x=-6 is 0
15. The equation for a line that is perpendicular to the line 8x-4y=12 and passes through the origin is y = - (1/2) x
16. The equation for a line that is perpendicular to the line y=-(1/3)x and passes through the point (0,-10) is y=3x-10
Step-by-step explanation:
13. What is the slope for a line that is perpendicular to the line y=4x+8?
y=mx+b
Comparing with the form slope-intercept, the slope of the given line is the coefficient of x, then the slope of the given line is 4.
A line perpendicular to y=4x+8 must have a slope opposite and inverse, then:
Slope of the perpendicular = - 1/4
14. What is the slope for a line that is perpendicular to the line x=-6?
The line x=-6 is a vertical line. A line perpendicular to the line x=-6 must be a horizontal line (Angle=0°), then:
Slope of the perpendicular = tan Angle = tan 0° = 0
15. Write the equation for a line that is perpendicular to the line 8x-4y=12 and passes through the origin.
8x-4y=12
Isolating y: Subtracting 8x both sides of the equation:
8x-4y-8x=12-8x
-4y=-8x+12
Dividing all the terms by -4:
-4y/(-4)= -8x/(-4)+12/(-4)
y=2x-3
The slope of the given line is 2
The slope of the perpendicular is m=-1/2 (opposite and inverse to the slope of the given line)
The perpendicular passes through the origin:
P1=(0,0)=(x1,y1)→x1=0, y1=0
Using the equation point - slope:
y-y1=m(x-x1)
Replacing the known values:
y-0=(-1/2)(x-0)
y=(-1/2)x
16. Write an equation for a line that is perpendicular to the line y=-(1/3)x and passes through the point (0,-10).
The slope of the given line is -(1/3)
The slope of the perpendicular is m=3/1→m=3 (opposite and inverse to the slope of the given line)
The perpendicular passes through the point:
P1=(0,-10)=(x1,y1)→x1=0, y1=-10
Using the equation point - slope:
y-y1=m(x-x1)
Replacing the known values:
y-(-10)=3(x-0)
y+10=3x
Isolating y: Subtracting 10 both sides of the equation:
y+10-10=3x-10
y=3x-10
Which answer is the hypothesis?
a. a and b are odd integers
b. a - b is an even integer
c. a and b are not odd integers
d. a - b is not an even integer
I do not know logic and reasoning in math. please help!!!!!