Answer:
40. A c=60
41 B z= 40
Step-by-step explanation:
The sum of the angles in a triangle is 180
40. 61+59+c = 180
Combine like terms
120+c = 180
c = 180-120
c =60
41. 90+50+z = 180
140 +z = 180
z = 180-140
z = 40
evaluate
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
please explain
[tex]\frac{-1}{32}[/tex] is a required answer.
Answer:
Solution given:
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
take power common
[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]
Reduce the fraction
[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]
make the1 and 8 in terms power 3
[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]
take the common power
[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]
Reduce power
[tex](\frac{-1}{2})^{5}[/tex]
now
distribute power
[tex]\frac{-1^{5}}{2^{5}}[/tex]
[tex]\frac{-1}{32}[/tex]
What are the x-intercepts of the parabola?
A: (4.5, 0) and (5, 0)
B: (0, 4.5) and (0, 5)
C: (0, 5) and (0, 4)
D: (5, 0) and (4, 0)
Answer:
D: (5, 0) and (4, 0)
Step-by-step explanation:
The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.
Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).
Enter an equation in point-slope form for the line.
Slope is 4 and (-2,-1) is on the line.
The equation of the line in point slope form is:
Answer:
[tex]y+1=4(x+2)[/tex]
Step-by-step explanation:
Hi there!
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the slope and the point
[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]
I hope this helps!
Please help me with this question please and thank you ❤️
Answer:
x = -1
Step-by-step explanation:
3x - 1/9 (27) = 18
3x - 3
Divide both sides be 3
x = -1
Answer:
x = 7
Step-by-step explanation:
to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :
3x - 1/9(27) = 18
3x - 3 = 18
3x = 21
x= 7
Which of the following are square roots of the number below? Check all that apply.
36
Answer:
mark me brainliest..
Step-by-step explanation:
plz open the below file and hope it helps!!
Segment addition and midpoints.
======================================================
Explanation:
AC = 13 and BC = 8
Those two facts must mean AB = AC-BC = 13 - 8 = 5.
Similarly, CD = BD - BC = 12 - 8 = 4
So,
AD = AB + BC + CD
AD = 5 + 8 + 4
AD = 17
------------
Another way to approach this problem would be to say
AD = AC + BD - BC
AD = 13 + 12 - 8
AD = 17
This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.
Answer:
Segment AD is 17.
Step-by-step explanation:
We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.
To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).
To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)
Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)
The length of Segment AD is 17.
What is the area of this figure
Help please
Step-by-step explanation:
A you see here, we have 3 different shapes. a Triangle, a big and small rectangle. Lets start with the triangle.
between the 8 in's, theres a gap. 5+4=9,
9+8+8=25. we have the length of the triangle.
9*25 divided by 2= 112.5. thats are area of the triangle.
for the bigger rectangle, 20*9=180, the area of the rectangle, and the smaller rectangle at the bottom is 16.
Now we add:
112.5+180+16=308.5
hope this helps!
Please answer srep by step if can!!
How to solve ? What is the answer?
Answer:
L = [tex]\sqrt{52^2 + 30^2}[/tex]
L = 60.033
Step-by-step explanation:
Manuel bought a set of tracks for $35 and 8 individual train cars,
which were priced the same. If the total cost was $155, what was the
price for each train car?
Please help
Answer:
155÷8= 19,375
The unit price of each wagon can be obtained by dividing (155 by 8)
luck in your tasks.
Volume of this hemisphere give answer to one decimal place
Answer:
[tex] \implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3}\pi {r}^{3} \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3} \times \dfrac{22}{7} \times 8 \times 8 \times 8 \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3} \times \dfrac{22}{7} \times 512 \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{22528}{21} \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = 1072.8\: {cm}^{3} \\ [/tex]
These slopes are linear.
Find the slope.
Answer:
The slope is 1OAmalOHopeO
Answer:
1
Step-by-step explanation:
when x is 1 y is one
Steve's math homework took him 17 minutes. His science homework took him 22 minutes. How much time did it take Steve to finish his math and science homework?
Answer:
39 minutes for both
Step-by-step explanation:
22+17=39
Answer:
It took Steve 39 minutes to finish both his math and science.
Step-by-step explanation:
17+22=39
simplify 6÷[5{6÷(5-2)}]
answer correctly i will give brainliest.
Answer:
hope this helppppp youuu
can yaweeeeeeeee hlp
Answer:
( 25 x 100 )
option 1 is the answer
Step-by-step explanation:
Remaining options are not correct since they don't have 100 as a factor.
What is the function rule for the line?
Answer:
y =2/3x -2
Step-by-step explanation:
The y intercept is -2
The slope is
m = (y2-y1)/ (x2-x1)
Using the points (0,-2) and (3,0)
m = ( 0 - -2)/(3 -0)
= (0+2)/(3-0)
= 2/3
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y =2/3x -2
Steve is traveling from Atlanta to Houston, a distance of 704 miles. If he divides the trip into two parts,
which the ratio of the parts is 2:5, how many miles does he drive in each section?
Answer:
201.14 , 502.85
Step-by-step explanation:
704/7 = 100.57
2*100.57 = 201.14
5*100.57 = 502.85
Matt covers a distance of 300 miles in 10 hours. Given that he covers an equal distance every hour, find the distance covered by him in 4 hours.
1/2a=11
a=? P.S I am not in high school I am in 4TH GRADE!!!
Answer:
a: 1/22
Step-by-step explanation:
cross multiply 1/2a=11
which will give 22a=1
divide both sides by 22
to give a=1/22
hey are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound. How 0 35. much did the oranges appreciate (percent of increase)?
SHOW YOUR WORK.
Answer:
Solution given:
in 1990
cost of orange[C.P]=$0.56
in 2003
cost of orange[S.P]=$0.86
now
increased price[profit]=S.P-C.P=$0.86-$0.56=$0.3
Now
increased percent [profit%]=?
we have
profit%=profit/c.p*100%
=0.3/0.56*100=53.57℅
Therefore
the oranges appreciated by 53.57%
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Given:-are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per poundFind:-percentage of increasing Solution:-we have, 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound.
so,
C.P of 1990=0.56$c.p of 2003=0.86$[tex]\sf{increase_{(profit)}=0.86-0.56=0.3 }[/tex]
we know that,
[tex]\bold{ profit\%=\dfrac{profit}{C.P}×100 }[/tex]
According to the question,
[tex]\sf{percentage_{(profit)}=\dfrac{0.3}{0.56}×100 }[/tex] [tex]\sf{percentage_{(profit)}=\dfrac{5357}{100} }[/tex] [tex]\sf{percentage_{(profit)}=53.57\% }[/tex]Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow
Line ab and cd (if presented in the picture) are straight lines. Find x (the pictures are not scaled)
Answer:
[tex]x + 2x + 34 + 20 = 180 [/tex]
Answer:
x=42
Step-by-step explanation:
Statement Reason
1. m∠AOB = 180° — Def. of straight ∠
2. m∠AOE + m∠EOF + m∠FOB = m∠
AOB —- Parts − whole Postulate
3. x + 2x+34° + 20° = 180° —- Substitution
4. x = 42°. —- Algebra
This is statement and reason! (no problem rsm people)
how can you find the slope of a line and use it to
solve problems?
Answer:
Step-by-step explanation:
1) Mark two points on the line in the graph.
2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)
Run -----> difference in x-coordinates (x2 - x1)
3) Plugin the values in the below mentioned formula.
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
1.If slope = 0, then the line is parallel to x-axis.
2. If slope is undefined, then the line is parallel to y-axis.
3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.
Which of the following is perpendicular to 4x - 3y = 8?
Select one:
a. -8x + 12y = 7
b. 6x + 8y = 9
c. -4x - 3y = 8
d. -8x + 6y = 5
Answer:
a.-8x-12y
Step-by-step explanation:
i hope it will help u
The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).
What are the perpendicular lines?Perpendicular lines are two lines that cross one other and create a 90-degree angle.
The equation of the line below which is given in the question
4x - 3y = 8
We have to determine which is perpendicular to the given equation of the line
First, we need to find the slope of the given equation.
4x - 3y = 8
- 3y = - 4x + 8
Divided by -3 into both sides of the above equation,
y = (- 4/-3)x + 8/(-3)
y = (4/3)x - 8/3
Comparing the above equation with the standard form of line y = mx + b
Here m is the slope of the line, in this case, m = 4/3.
As per option (C),
- 3y = 8 + 4x
Divided by -3 into both sides of the above equation,
y = - 4/3x - 8/3
Here the slope of this line is - 4/3
Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.
Hence, the correct answer would be option (C).
Learn about the perpendicular lines here :
https://brainly.com/question/18271653
#SPJ2
What is the slope of the line shown below?
ОА. - 17
(5, 1)
X
O B. -4
-5
5
(-3,-1)
O c. 4
-5
O D.
1
4
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line
m = [tex]\frac{5-(-3)}{1-(-1)}[/tex] = [tex]\frac{5+3}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C
What is the area of the label on a soup can that is 8 inches high and has a diameter of 4 inches? Round to the nearest hundredth. Assume the label wraps around the entire height of the can and does not overlap. SHOW WORK..
Answer:
Area of label = 100 inch² (Approx.)
Step-by-step explanation:
Given:
Height of label = 8 inches
Diameter of label = 4 inches
Find:
Area of label
Computation:
Design of label = Rectangle
So,
Width of label = 2πr
Width of label = 2(3.14)(4/2)
Width of label = 2(3.14)(2)
Width of label = 12.56 inches
Area of label = Height of label x Width of label
Area of label = 12.56 x 8
Area of label = 100.48
Area of label = 100 inch² (Approx.)
What is the measure of ABC?
Answer:
63
Step-by-step explanation:
Hi there!
In order to find the answer to this question we must know about:
The angles of intersecting chords theorem
The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.
Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )
Angle ABC intercepted arc is AC
Hence Angle ABC = 1/2 ( arc AC + arc ED)
Arc ED = 44 and arc AC = 82
Thus, angle ABC = 1/2(82 + 44)
82 + 44 = 126
126/2=63
Hence Angle ABC = 63
The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 48 inches. Find the scale factor as a decimal, and the measure of each side of the triangle.
Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.
[tex]3x+4x+5x=48[/tex]
[tex]12x=48[/tex]
Divide both sides by 12.
[tex]x=\dfrac{48}{12}[/tex]
[tex]x=4[/tex]
Now, the measures of sides are:
[tex]3x=3(4)[/tex]
[tex]3x=12[/tex]
Similarly,
[tex]4x=4(4)[/tex]
[tex]4x=16[/tex]
And,
[tex]5x=5(4)[/tex]
[tex]5x=20[/tex]
Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.
Answer:
The scale factor is 4.
Sides are 12 inches, 16 inches, 20 inches.
Step-by-step explanation:
The ratio is 3 : 4 : 5 and the perimeter is 48 inches.
Let the scale is p.
The length of sides is 3 p , 4 p and 5 p.
So, the perimeter is
3 p + 4 p + 5 p = 48
12 p = 48
p = 4
So, the scale factor is 4.
Sides are 12 inches, 16 inches, 20 inches.
1.If a number is chosen at random from the integers 5 to 25 inclusive , find the probability that the number is a multiple of 5 or 3.
2.Good Limes =10
Good Apples = 8
Bad Limes = 6
Bad Apples 6
The information above shows the number of limes and apples of the same size in a bag . If two of the fruits are picked at random , one at a time without replacement .Find the probability that :
I. Both are good limes
II.Both are good fruits
III. One is a good apple and the other a bad lime
I'll do problem 1 to get you started.
set A = multiples of 3 between 5 and 25 = {6, 9, 12, 15, 18, 21, 24}
there are 7 items in set A, so we can say n(A) = 7
set B = multiples of 5 between 5 and 25 = {5,10,15,20,25}
Here we have n(B) = 5
set C = multiples of 3 and 5, between 5 and 25 = {15}
n(C) = 1 which we can rewrite as n(A and B) = 1.
-----------------------------------------
To summarize so far,
n(A) = 7n(B) = 5n(A and B) = 1From those three facts, then we can say,
n(A or B) = n(A) + n(B) - n(A and B)
n(A or B) = 7 + 5 - 1
n(A or B) = 11
There are 11 values between 5 and 25 that are multiples of 5, multiples of 3, or both.
Those 11 values are: {5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}
This is out of 25-5+1 = 21 values overall which are in the set {5,6,7,...,24,25}
So we have 11 values we want out of 21 overall, which leads to the probability 11/21
Final Answer: 11/21
Answer:
Solution given:
total outcomes between 5 to25 inclusive
n[T]=25-5+1=21
multiple of 5n[5]=5,10,15,20,25=5
multiple of 3n[3]=6,9,12,15,18,21,24=7
now
probability of getting multiple of 5p[5]=5/21
and
probability of getting multiple of 3 p[3]=7/21=1/3
again
the probability that the number is a multiple of 5 or 3 P[5or 3]=p[5]+p[3]=5/21+1/3=4/7
the probability that the number is a multiple of 5 or 3 is 4/7.2:
.Good Limes n[GL] =10
Good Apples n[GA]= 8
Bad Limes n[BL] = 6
Bad Apples n[BA]= 6
total fruits n[T]=10+8+6+6=30
no of good apple n[G]=10+8=18
no of bad apple n[B]=6+6=12
again
I. Both are good limes
=[tex]\frac{n[GL]}{n[T]}×\frac{n[GL]-1}{n[T]-1}[/tex]
=10/30*9/29=3/29
II.Both are good fruits
=[tex]\frac{n[BL]}{n[T]}×\frac{n[BL]-1}{n[T]-1}[/tex]
=6/30*5/29=1/29
III. One is a good apple and the other a bad lime
=n[G]/n[T] *n[B]/(n[T]-1)
=18/30*12/29=36/145
The circumference of a circle is 11 pi ft. find its diameter, in feet
Answer:
11 feet
Step-by-step explanation:
Use the circumference formula, C = [tex]\pi[/tex]d
Plug in 11[tex]\pi[/tex] as C, and solve for d:
C = [tex]\pi[/tex]d
11[tex]\pi[/tex] = [tex]\pi[/tex]d
11 = d
So, the diameter is 11 feet