Answer:
x=32° y=35°
Step-by-step explanation:
First we must find the value of x. Since x is opposite the angles with measure 32°, that means it must too be 32°, as they are vertical angles, which are always equal. To find the measure of y, we know that the measure of ∠AOB=180°, as it is a straight line. This means that x(32°)+23+m∠GOD+y=180°. We can simplify this by subtracting (32+23), or 55°, from both sides and get m∠GOD+y=125°. Since ∠GOD is opposite of right angle ∠COH, they are vertical angles, meaning ∠GOD=90°. This means that 90°+y=125°. Subtracting 90° from both sides gives you that y=35°.
Translate the phrase into an algebraic expression.
4 more than x
Answer: x + 4
Step-by-step explanation: The word "more than" means addition.
What's tricky about this word is that it switches the order around.
For example, 4 more than x should not be thought of as 4 + x.
Instead, 4 more than x should be thought of as x + 4.
Triangle with a missing segment. 30, 20, 24, x
Which compound inequality is represented by the graph?
O-2
0-2
O x<-2 or x 24
OX-2 or x > 4
Answer:
C x<-2 or x>_ 4
Step-by-step explanation:
Dont get corona!
Select the correct answer (Ignore the one already clicked)
Work Shown:
x = number of weeks
y = number of tests
slope = rise/run
slope = (change in y)/(change in x)
slope = 27/36
slope = (9*3)/(9*4)
slope = 3/4
A slope of 3/4 means that there are 3 tests for every 4 weeks.
Determine the length of BC . ANSWERS: A) 12.25 units B) 24.71 units C) 19.00 units D) 5.57 units
Answer:
A) 12.25 units
Step-by-step explanation:
From Pythagorean theorem:
AB² + BC² = 25²6² + BD² = BC²19² + BD² = AB²Defining:
x = AB²y = BC²z = BD²The system of equations is:
x + y = 625 (eq. 1)
36 + z = y (eq. 2)
361 + z = x (eq. 3)
Replacing equation 3 into 1:
361 + z + y = 625
From equation 2:
z = y - 36
Replacing it into equation 1:
361 + y - 36 + y = 625
2y = 625 + 36 - 361
y = 300/2
y = 150
Finally:
BC = √y
BC = √150
BC = 12.25 units
How many ways can you distribute 4 different balls among 4 identical boxes?
Answer: 24 different ways
Step-by-step explanation:
Hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
24 different ways
Step-by-step explanation:
You have to make a choice which ball to put in the first box. You have 4 options.
Then you must make a choice which ball to put in the second box. You have 3 options (there are three balls left)
Then you have to make a choice which ball to put in the third box You have 2 options (there are two balls left)
It isn't necessary to make a choice about the fourth box, because there's only 1 option (there's only one ball left)
So you have 4 choices for the first box.
For each of those 4 choices, you have 3 choices for the second box. That makes 12 number of ways.
For each of those 12 ways, you have 2 choices left for the third box. That makes 24 number of ways.
You have only 1 ball left for the fourth box, so that leaves you at ................. ....... 24 number of ways.
Hope this helps
If I have 2 steel rods, one with 17% purity and one with 25% purity. How much should I take (in kgs) from each bar?
Answer:
250 kg of 17% and 150 kg of 25%
Step-by-step explanation:
For answering this, we do it by proportions.
take the difference
17% === 20% === 25%
3 5
Then ratio
17% :25% = 5:3
For 400 kg,
17% = 5/(5+3) * 400 = 250 kg
25% = 3/(5+3) * 400 = 150 kg.
Above is a mental method, no calculation or pencil need.
I will edit to give an algebraic method.
Algebraic method:
Given:
17% rods and 25% rods.
Need to make 400 kg of 20% rods.
Let
A=weight of 17% rods
B=weight of 25% rods
to make 20% rods, we need
( 0.17A + 0.25B ) / (A+B) = 0.20 ............(1)
But we know that
A+B=400 .............(2)
substitute
B=400-A in (1)
( 0.17A + 0.25 (400-A) ) / 400 = 0.20
Cross multiply and simplify
(0.17-0.25)A +100 = 80
-0.08A = -20
A = -20 / (-0.08)
A = 250 ...........(3) (17% rods)
substitute (3) in (2)
B = 400-250 = 150 (25% rods)
Same answer as mental calculations
Even simpler albebra, same answer!
Given:
17% rods and 25% rods.
Need to make 400 kg of 20% rods.
Let
W=weight of 25% rods
400-W = weight of 17% rods
To make 20% purity rods, we need to have 400*0.2=80 kg of pure metal, which is
0.25W + 0.17(400-W) = 80
Expand and simplify
0.25W + 68 - 0.17W = 80
0.08W = 80-68 = 12
W = 12/0.08 = 150 (25% rods)
400-W = 250 kg (17% rods)
Answer:
245432
Step-by-step explanation:
Angela uses cup of strawberries to make of a liter of smoothie. What is the unit rate in cups of strawberries per liter of smoothie?
i need help guys, can someone pls help? i already answered it but i know its wrong so avoid the answers that were written.
Answer:
A: d= every time she walks the dog
b= every time she babysits
B: 8d+12b
Brainlyest pls
Answer:
A: d= every time she walks the dog b= every time she babysits
B: 12b+8d
Step-by-step explanation:
I just did it.
Harold has $20.00 to spend. He decided to buy a shirt for $15.95 and spend the rest on packs of gum. If each pack of gum costs $1.99, how many packs of gum can Harold buy?
Answer:
2 or less packs
Step-by-step explanation:
15.99 + 1.99g < 20.00 where g is the number of packs of gum
Subtract 15.99 from each side
15.99 + 1.99g - 15.99 < 20.00-15.99
1.99g < 4.01
Divide by 1.99
1.99g/1.99 < 4.01/1.99
g < 2.015075377
Harold must buy whole packs so g =2 or less
1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)
2. Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2 x + y = -5.
3. Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5
Answer:
1. [tex]-5x+3y+44=0[/tex]
2. [tex]2x+y-2=0[/tex]
3. [tex]2x+y-4=0[/tex]
Step-by-step explanation:
Standard form of a line is [tex]Ax+By+C=0[/tex].
If a line passing through two points then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope, i.e.,[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].
1.
The line passes through the points (7,-3) and (4,-8). So, the equation of line is
[tex]y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)[/tex]
[tex]y+3=\dfrac{-5}{-3}(x-7)[/tex]
[tex]y+3=\dfrac{5}{3}(x-7)[/tex]
[tex]3(y+3)=5(x-7)[/tex]
[tex]3y+9=5x-35[/tex]
[tex]-5x+3y+9+35=0[/tex]
[tex]-5x+3y+44=0[/tex]
Therefore, the required equation is [tex]-5x+3y+44=0[/tex].
2.
We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to [tex]2 x + y =-5[/tex].
Slope of the line : [tex]m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2[/tex]
Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).
Equation of line is
[tex]y-2=-2(x-0)[/tex]
[tex]y-2=-2x[/tex]
[tex]2x+y-2=0[/tex]
Therefore, the required equation is [tex]2x+y-2=0[/tex].
3.
We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to [tex]2x + y =-5[/tex].
From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).
Equation of line is
[tex]y-0=-2(x-2)[/tex]
[tex]y=-2x+4[/tex]
[tex]2x+y-4=0[/tex]
Therefore, the required equation is [tex]2x+y-4=0[/tex].
PLEASE HELP ILL REWARD BRAINLIST
Answer: (2,1)
Hope it helps <3
Solve for b. -11b+7 = 40−11b+7=40
Answer:
This equation is false
Step-by-step explanation:
Well,
-11b + 7 = 4 - 11b + 7 = 40
combine like terms
-11b + 7 = -11b + 3 = 40
Communicative property
-3 to both sides
-11b + 4 = -11b = 40
-4 to both sides
-11b = -11b = 36
+11b to both sides
0 = 36
0 is not equal to 36 meaning that this equation is false.
Thus,
the equation given is false.
Hope this helps :)
Answer:
b= -3
Step-by-step explanation:
So uh it was not -11b+7 = 40−11b+7=40
it was -11b+7 = 40 the equasion was probably just copy pasted twice.
Sorry im late i just got this question on khan acadamey
hope this helps
A special type of password consists of 3 different letters of the alphabet, and the two different numbers, where each letter and each number is used only once. How many different possible passwords are there?
Answer:
14040000
yeah, thats the answer... so yeah.
Answer:
14,040,000
Step-by-step explanation:
You want to have 3 different letters at first, in the first "slot" for a letter, there are 26 letters to choose from. Next slot there is only 25, because one is taken. Last slot there is 24. Then for the numbers, we can use the same technique. In the first "slot" there are 10 digits to choose from. In the second there are 9. Now we get to multiply them up: 26*25*24*10*9=14,040,000
Suppose the correlation coefficient between a baby's weight and the price of a smartphone is 0.87. Which statement is true?
Answer:
c
Step-by-step explanation:
The statement i.e. true is that when the baby gained the weight so the price of the phone should be increased.
Relationship between the price and weight:Since the correlation coefficient should be 0.87 that shows between the baby's weight and the price of a smartphone.
So here it shows the healthy and positive relationship between the weight and the price.
Therefore, the option c is correct.
learn more about correlation here: https://brainly.com/question/1564293
In triangle FGH, the bisector of angle F also bisects the opposite side. The ratio of each half of the bisected side to each of the other sides is 1 : 2. What type of triangle is triangle FGH? Explain.
If the angle bisector also bisects the opposite side, then it's also a median *and* an altitude. The triangle is isosceles.
Draw the diagram: you have that altitude forming a pair of mirror-image right triangles. In each, the short side is 1 and the hypotenuse is 2. What does this tell you about the large triangle?
Then the rest you have to think... cuz it wasn't that hard.( If you still don't understand comment it, and then I will explain to you!)
HOPE IT HELP!
PROBABILITY. 22 chocolate bars total. 3 Mr.Good bars, 7 Krackel bars, and 12 Hershey’s bars. You are going to grab 7 bars WITHOUT replacement. Express answers in decimal form, round to at least 4 decimal places. 1: P(3 Mr.Good bars and 4 krackel bars)? 2:P( 3 Krackel bars and 4 Hershey’s bars)? 3: P(none of the 7 are Hershey bars)?
Answer:
.7
Step-by-step explanation:
Samantha makes a maze for her pet gerbil. At one point in the maze, the path splits
and the gerbil has an equally likely chance to choose either the left branch or the
right branch. Samantha places her gerbil in the maze 10 times in a row and records
the number of times the gerbil chooses the left branch.
Outcome/Tally
Gerbil chooses left branch = 7 Tallys
Part A
What is the experimental probability that the gerbil will choose the left branch of
the maze on the next trial?
Part B
What is the theoretical probability that the gerbil will choose the left branch of the
maze on the next trial?
Part C
Does the experimental probability equal the theoretical probability? Explain.
Answer:
Part A: 7/10
Part B: 1/2
Part C: look below*
Step-by-step explanation:
Part A:
The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times
Part B:
Theoretically the gerbil has a 1/2 of going either left or right since there are two options.
Part C:
The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.
What is the volume of a cylinder, in cubic in, with a height of 11in and a base diameter
of 4in? Round to the nearest tenths place
Answer:
Volume ≈ 138.3
Step-by-step explanation:
[tex]V = \pi r^2 h\\h = 11in\\d = 4in \\r = d/2 = 4/2 = 2\\\\V= \frac{22}{7} \times 2^2 \times 11\\V = \frac{22}{7} \times 4 \times 11\\V = 22/7 \times 44\\\\V = 968/7\\\\V = 138.2857[/tex]
Answer:138.2
Step-by-step explanation: n(2)^2(11) = 138.2300768 = 138.2
If you are trying to conduct an experiment by taking a random sample of home owners, which of the groups below should NOT be included in your sample? Select all that apply. A) 2nd Graders B) Homeowners in your neighborhood C) Members of a homeowner association D) High school students
Answer:
A & D for sure. Probably B
Step-by-step explanation:
Students don't own their homes. Homeowners in your neighborhood might not meet the definition of Random.
What is the volume of the pyramid
150ft^3
540 ft^3
432 ft^3
48 ft^3
Answer:
Option (4)
Step-by-step explanation:
To calculate the volume of a pyramid we use the formula,
V = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height of the pyramid})[/tex]
Area of the square base = (Side)²
= (6)²
= 36 square ft
Height of the pyramid 'h' = [tex]\sqrt{l^{2}-(\frac{\text{Side length of the base}}{2})^{2}}[/tex] [By Pythagoras theorem]
h = [tex]\sqrt{5^{2}-3^{2}}[/tex]
h = [tex]\sqrt{16}[/tex]
h = 4 ft
Therefore, volume of the given pyramid = [tex]\frac{1}{3}(36)(4)[/tex]
= 48 cubic ft
Option (4). 48 ft³ will be the answer.
A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
Answer:
In the given question, it is given that A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
The ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.
And we have to find the value of tan B.
And tangent of any angle is equal to the ratio of vertical by horizontal. That is
tan B= 8/15
Step-by-step explanation:
Standing on the roof of her apartment building, the top of Carla’s head is 15 yards above the ground.
She spots a curb 20 yards from the base of the building. What is the height of the flagpole?
Answer: 9 yards
Step-by-step explanation:
The proportion x/15 = 12 / 20 ||| X * 20 = 20X ||| 12 x 15 = 180 ||| 180 / 20 = 9
I need help I don't understand I was on a streak and now this stupid problem is just unsolvable I just want to finish this stupid work and play gtao
Answer:
the ratio is 1:3
Step-by-step explanation:
Which of the points (x, y) does NOT lie on the unit circle?
Answer:
a) P(1/2, 1/2)
Step-by-step explanation:
If the point does not lie on a coordinate axis, then the sum of the coordinates must be greater than 1. (This is a consequence of the triangle inequality and the fact that the hypotenuse of the right triangle is 1.)
This fact lets you readily identify (1/2, 1/2) as not being on the unit circle.
Visitors to a museum each hour during operating hours: 35. 42, 65, 59,84.62.46.
52,24
Lowest value:
Highest value:
Spread:
Center value:
Answer:
Lowest value: 24
Highest value: 84
Spread: 60
Center value: mean = 52.11
median = 53
Step-by-step explanation:
Given data
35. 42, 65, 59,84.62.46. 52,24
let arrange is from smallest to largest
24, 35, 42, 46, 52, 59, 62, 65,84
Thus,
Lowest value = 24
Highest values = 84
Spread is the range of data
range is difference of highest and lowest value
spread = 84-24 = 60
Center value is mean and/or mean of data
mean = sum of data/ no. of data
no. of data = 9
mean = 24+ 35+ 42+ 46+ 52+ 59+ 62+ 65+84/9 = 469/9 = 52.11
median is the middle term when data is arranged in ascending order.
median is (n+1)/2 th term when no. of data is odd
median is (9+1)/2th term = 5th term
5 th term is 52
thus, median is 52.
Thus, solution is
Lowest value: 24
Highest value: 84
Spread: 60
Center value: mean = 52.11
median = 53
I need help with number 3
Answer:
AB = 54
Step-by-step explanation:
AB = AC
4x+6 = 5x-6
Subtract 4x from each side
4x+6-4x = 5x-6-4x
6 = x-6
Add 6 to each side
6+6 =x
12 =x
We want to find AB
AB =4x+6
4(12)+6
48+6
54
Answer:
AB=54
Step-by-step explanation:
in Δs ABD and ACD
BD=CD (given)
∠ADB=∠ADC (each right angle)
AD=AD (common)
∴ ΔABD≅ΔACD
so AB=AC
4x+6=5x-6
6+6=5x-4x
x=12
AB=4×12+6=48+6=54
Can i have help please. Step by step
Answer: It's in the step-by step explanation
Step-by-step explanation:
I just learned about this too. I'll use what I know to help you out.
According to whatever law of the circle, where you have two intersecting lines within the bounds of a circle(that'd be TQ and SW), the product of the divided segments will equal each other.
So to put that in terms, TU times QU = SU times WU.
So let's get the value of segment TU, which is 1.5
Then let's get the value of segment of QU, which is 4.
Now let's get the value of WU, which is 3. We don't know what SU is yet. So put it in algebraic form.
1.5(4)=3x
6=3x
2=x
bon appetit
A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours: Write a function for the distance traveled d in t hours. What is the dependent variable? What is the independent variable? Make a table with at least 5 coordinate pairs. Graph the coordinate pairs and draw the function
Answer:
Step-by-step explanation:
d= distance
t= time
The independent variable is t, time. The distance the car travels depends on the time in hours spent travelling. The dependent variable is d, distance. Here is a table with 5 coordinate pairs that can be used.
(T) (D)
1 30
2 60
3 90
4 120
5 150
These are the coordinate pairs for the function. When we use division and determine the rate of change, we can determine that the average rate of speed (MPH) is 30 MPH.
Classify the object in real life by what type of polygon it is. State if it is concave or convex, and explain why. Also write the sum of the interior angles. If the polygon is regular what would the measure of the interior and exterior angles be? a. Stop sign b. Tripod c. Computer screen d. School crossing sign e. The dome of a capitol building f. A cell in a honeycomb g. Describe the difference between a concave and convex polygon. h. What is a regular polygon? i. How do you calculate the sum of the interior angles?
Answer:
see below for classification
concave: angles less than 180°
regular: sides and angles congruent
sum = 180°(n -2)
Step-by-step explanation:
A) The given shapes are classified and described in the attachment. (A polygon is a plane figure, so a "tripod" and a "dome" are not polygons.)
__
B) A convex polygon has interior angles that measure less than 180°. A concave polygon has one or more reflex angles.
__
C) A regular polygon has all angle measures congruent, and all side lengths congruent.
__
D) The sum of interior angles can be calculated from the formula ...
angle sum = 180° · (n -2) . . . . where n is the number of sides
Can someone please help me with my maths
Answer:
a
Step-by-step explanation:
Recall that the "point-slope" form of a linear equation may be expressed as
y = mx + b,
where m is the gradient.
If m is negative, the gradient is negative.
If m is positive, the gradient is positive.
In our case, if we consider option A,
x + 3y = -2 (rearranging)
3y = -x -2
y = (-1/3) x - (2/3)
if we compare this to the general equation at the top, we can see that
gradient, = m = (-1/3) which is negative.
hence option a has a negative gradient.
Answer:
A. x+3y = -2
y = mx+b
3y = -x-2
m = -1
Step-by-step explanation: