Step-by-step explanation:
a) 10 feet ,64=2(2+5w)
64=4+10w
64-4=10w
60=10w
60*10=10w*10
w=6
Mrs. Nigrini picks up some grapefruits that each weigh 1/2 pound. When she checks out she finds her bag of grapefruit weighs exactly 6.5 pounds. Each grapefruit costs $1.29. How much did she spend on grapefruit?
Answer:
$16.77
Step-by-step explanation:
1. Grapefruit cost 1/2 pound = 0.5 pound
2. Since the bag weighs 6.5 pounds, you can do 6.5/0.5 to find the number of grapefruits
3. 6.5/0.5 = 13
4. The total cost of the grapefruits would be $1.29 * 13 = $16.77
3. Look at the set of ordered pairs below. Determine if the three statements that follow are true or false.
If it is true, explain why you know that it is true.
If it is false, explain why you know that it is false and change the statement to a true statement.
{(3,6), (4,6), (5,7), (6,8), (7,10), (8,10)
Statement 1:
The relation is not a function because every y-value has more than one corresponding X-value
Statement 2:
The domain of this relation is 3=< x =< 8.
Statement 3:
The range of this relation is {6, 7, 8, 10}
Answer:
Statement 1 - false
A function is one-to-one or many-to-one.
One-to-one means each value in the range (y-values) corresponds to exactly one value in the domain (x-values)
Many-to-one means some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).
Therefore, as some y-values correspond to more than one x-value, this is a many-to-one function.
The true statement should be:
The relation is a function because some y-values correspond to more than one x-value.
Statement 2- true
The domain is the set of input values (x-values). Therefore, the domain is 3 ≤ x ≤ 8 as the smallest x-value is 3 and the highest x-value is 8.
Statement 3 - true
The range is the set of output values (y-values). Therefore, the range is {6, 7, 8, 10} as these are the y-values of the ordered pairs.
What is the domain of the function graphed below?
A. {x | x = -1,2,4}
B. {x | x=-2,-1,2,4}
C. {x | x=2}
D. {x | x=-2,4}
= is not equal to sign
Answer:
{x | x ≠ -1, 2, 4}
Step-by-step explanation:
Domain: input values (x-values)
Asymptote: a line which the curve gets infinitely close to, but never touches.
Hole: a point on the graph where the function is not defined.
From inspection of the graph:
Vertical asymptotes at x = -1 and x = 4Hole at x = 2As vertical asymptotes and holes restrict the domain of a rational function, the domain is {x | x ≠ -1, 2, 4}
A 12-foot ladder is leaning against a wall. The bottom of the ladder is 5 feet away from the bottom of the wall.
Approximately how high up the wall does the top of the ladder reach?
Answer:
10.9 units
Step-by-step explanation:
Let the hight of the wall be " x ".
( Height = x )
Here,
12 foot ladder is the hypotenuse side.
( Hypotenuse = 12 )
5 feet away is the base side.
( Base = 5 )
Formula : -
Height² + Base² = Hypotenuse²
x² + 5² = 12²
x² + 25 = 144
x² = 144 - 25
x² = 119
x = √119
x = 10.9 approximately
Therefore,
High up the wall does the top of the ladder reach is 10.9 units.
5. 4. Ms. Le has a bag of marbles. The table below shows the amount she drew of each marble. Color Amount Blue 8 Red 10 Yellow 9 Green 6 Purple 7 Based on these results, what is the probability that Ms. Le will choose a yellow or purple marble? A 2/5 B 1/16 C 1/8 D 4/5
Answer:
A, 2/5
Step-by-step explanation:
8 + 10 + 9 + 6 + 7 = 40
9 + 7 = 16
16/40
divide both sides by 8 (common factor)
2/5
What value of y makes the number sentence shown true?
y−3=15
Answer:
18
Step-by-step explanation:
y-3=15
+3 +3
if you add 3 to the other side, you would get:
y=18
Show how to find m<1 using the inverse cos of <1.
[tex]\text{We know that,}\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\text{For}~ \angle1,\\\\~~~~~~\cos \angle 1 = \dfrac bc\\\\\\\implies \cos \angle 1 = \dfrac 35\\\\\\\implies \angle 1 = \cos^{-1} \left( \dfrac 35 \right)\\\\\\\implies \angle 1 = 53.13^{\circ}\\\\\\\text{For} ~ \angle 2,\\\\~~~~~~~\cos \angle 2 = \dfrac ac\\\\\\[/tex]
[tex]\implies \cos \angle 2 = \dfrac 45\\\\\\\implies \angle 2 =\cos^{-1} \left( \dfrac 45 \right)\\ \\\\\implies \angle 2 = 36.86^{\circ}[/tex]
[tex]\text{Hence,}~~ m\angle 1 = 53.13^{\circ}~~ \text{and}~~ m\angle 2 =36.86^{\circ}.[/tex]
Brainliest + thanks!!
Explanation needed :3
Answer:
To create a "mini-triangle", we could use any number pairs (coordinates matter). We can use the side lengths of 4, 6, and 7 as they are the smallest pairs. It's a pretty easy concept which I'm sure you'll be able to grasp (I know you're smart! :) ). Ask your teacher if you have more questions. <3
Good luck!,
daintysword; date :: 1899Answer:
Side Lengths of 4,6, & 7
Side Lengths of 8,9, &4
Step-by-step explanation:
According to the image given.
We must know that in order to be a triangle the following below must be include:
All 3 vector have different directionSum of sizes of 2 vector must be greater than 3rd oneNote:
< ⇒ less than
> ⇒ greater than
= ⇒ equal
Solving all the given :
-------------------------------------------------------------------------------------------------------------
Side Lengths of 4,6, & 7
4 + 7 > 7
10 > 7
True
-------------------------------------------------------------------------------------------------------------
Side Lengths of 2,10,&3
2 + 3 > 10
5 <10
False
-------------------------------------------------------------------------------------------------------------
Side Lengths of 15, 7 , &8
7+8=15
15 = 15
False
-------------------------------------------------------------------------------------------------------------
Side Lengths of 1,4,&3
1+3>4
4=4
False
-------------------------------------------------------------------------------------------------------------
Side Lengths of 8,9,&4
8+4>9
12>9
True
-------------------------------------------------------------------------------------------------------------
Side Lengths of 6,7,&1
1+6=7
7=7
False
-------------------------------------------------------------------------------------------------------------
Kavinsky
Write your answer as a fraction or as a whole or mixed number.
Answer:
9 days
Step-by-step explanation:
because if you turn 7 ⅞ into 63/8 then do 63÷7 you get 9
Answer:
9 days.
write 7/8x9, and put a 1 under it.
7x9=63
8x1=8
63/8 simplified is 7 7/8
Step-by-step explanation:
Look at this set of 9 numbers:
30
59
44
58
30
69
89
30
44
By how much would the mode increase if the number 80 were added to the set?
Answer:
The mode would not increase or decrease.
Step-by-step explanation:
I say this because the mode is the value(s) in the data set that occur most frequently. 30 is the mode before adding 80 because 30 is in the set 3 times, more than the other values. Because 80 would be the only 80 in the set it would not become the mode once added. I hope this explained my reasoning and helped!
On average, Shawnte drinks of a -ounce glass of water in hour. How much water
does she drink in an hour?
Answer:
a- ounce glass of water.
if angle 6 is 25 degrees how much is 7
Given:
Angle 6 = 25 degrees
To Find:
The value of Angle 7
Solution:
We know that,
the value of Angle 6 is equal to 25 Degrees
Since Angle 6 and Angle 7 together comprise of a Straight Line, this means that they are Supplementary Angles.
Therefore,
Angle 6 + Angle 7 = 180 degrees
This implies that,
25 degrees + Angle 7 = 180 degrees. (since Angle 6 = 25 Degrees)
Angle 7 = (180-25) degrees
Thus ,
Angle 7 = 155 degrees
Hence, Angle 7 is 155 degrees (Option 1)
50/22 as a decimal rounded to the nearest hundred
Answer:
2.27
Step-by-step explanation:
One angle of an isosceles triangle measures 92°. What measures are possible for the other two angles? Choose all that apply.44 24 76 47
Answer:
44
Step-by-step explanation:
First remmember that all triangles will add up to equal 180 degrees
so we will have to subtract 180 by 92
whitch is 88
Now sence an isoclies are to equal sides we will have to divide 88 by 2
whitch is 44
Making 44 your answer.
What is the western most state in the United States?
°Hawaii
°Florida
°Wisconsin
°Texas
Hawaii
hope it helps...!!!
If the slope of a line is -6, does the line rise (from left to right), fall (from left to right), horizontal or vertical?
Answer:
it falls left to right horizontal
pls give brainlyist
Step-by-step explanation:
Answer:
The line will fall (from left to right).
Step-by-step explanation:
If the slope of any line is negative then that line will go downwards or fall (from left to right). While if the slope were to be positive, that would mean the line will rise (from left to right).
Here is a picture to justify my answer ⤴⤴⤴
Hope this helps you :)
What is the slope and the y-intercept of the line? y = − 8x + 5
Answer:
The slope is -8 and the y-intercept is 5
What type of number is -0.12?
Choose all answers that apply:
A
Whole number
B
Integer
С
Rational
D
Irrational
When the population mean and standard deviation are known, what distribution is used for the analysis of the sample?.
When the population mean and standard deviation are known, you use the standard normal distribution
How to determine the distribution?There are several probability distributions; these include
Normal distributionPoisson distributionChi square distributionBinomial distributionEtcOf all these distribution, only the standard normal distribution can be used when the population mean and standard deviation are known,
Note that it is also referred to as the z-distribution
Read more about probability distributions at:
https://brainly.com/question/24756209
who ever gets right 100 points.... HELP ASAP
Answer:
3rd Table
Explanation:
1st and 2nd option does not relate time taken or speed together while jogging and walking. They are irrelevant thus they cancels out.3rd option relates time taken and speed together in a arranged way. It is easy to understand and find the distance covered.4th option seems confusing as there is no numerical digit in the table. We cannot find miles covered from this given information.Part A
Construct a circle of any radius, and draw a chord on it. Then construct the radius of the circle that bisects the chord. Measure the angle between the chord and the radius. What can you conclude about the intersection of a chord and the radius that bisects it? Take a screenshot of your construction, save it, and insert the image below your answer.
Part B
Write a paragraph proof of your conclusion in part A. To begin your proof, draw radii OA and OC.
Part C
In this part of the activity, you will investigate the converse of the theorem stated in part A. To get started, reopen GeoGebra.
Draw a circle of any radius, and draw a chord on it. Construct the radius of the circle that is perpendicular to the chord. Measure the line segments into which the radius divides the chords. How are the line segments related? What can you conclude about the intersection of a chord and a radius that is perpendicular to it? Take a screenshot of your construction, save it, and insert the image below your answer.
Part D
Write a paragraph proof of your conclusion in part C. To begin your proof, draw radii OA and OC.
Answer:
All answers are bold and links are real photos
BTW THE PHOTOS ARE IN ORDER OF THE ANSWERS
Brainlyist??
Step-by-step explanation:
Task 1
Part A
Tangent Line
Part B
PHOTO WITH LARGE CIRCLE AND LINE OUT SIDE BUT CONNECTED
Part C
2034.7
PHOTO WITH EQUATION
We calculate the point from the center of the earth to the satellite and because we have the radius we can subtract it getting the distance from the satellite to the earth.
Task 2
Gears
Part A
Approximately 10.47 inches
Part B
300°
Part C
Approximately 125.66 inches
Part D
The distance traveled increases by approximately 62.83 inches
Task 3
Circle Theorems
Part A
PHOTO WITH LINE THROUGH CIRCLE AND ONE 90 DEGREE ANGLE
Part B
Prove OC is perpendicular to AB
We know that ΔAEC≅AED by SSS criteria (SSS criteria is when all three sides of a triangle is equal making them congruent)
To prove this that they apply to the SSS criteria: m∠ADO=m∠BDO m∠ADO=90°=m∠BDO
Part C
A radius is perpendicular to a chord when the chord is equally divided in half by the radius.
PHOTO OF LINE THROUGH CIRCLE AND LINE DISTANCES
Part D
Prove OC is perpendicular to AB
AO=BO because AO and BO are both radii
OD≅OD by reflexive theorem
ΔADO≅ΔBDO because they are both right triangle with the hypotenuse and a side
AB≅BC means that OC is perpendicular to AB
Disclaimer: The images to part A and part C is the same.
Two theorems we are proving are:
Line drawn from the center of the circle to bisect a chord is perpendicular to it.Perpendicular drawn from the center of the circle to a chord, bisects it.How do we solve the given question?Part A: The image is attached
Part B:
Let there be a circle with the center at O. Let AC be a chord. Let OE be a radius of the chord such that OE bisects AC at B, that is, AB = BC.
To prove: A line drawn from the center of the circle to bisect a chord is perpendicular to it.
Construction: We join OA and OB.
Proof:
In ΔOAB and ΔOCB,
OA = OC (Radius of the same circle)
AB = BC (Given, at B, the chord is bisected)
OB = OB (common side)
∴ ΔOAB ≅ ΔOCB [SSS axiom]
∴ ∠OBA = ∠OBC [Common parts of Congruent triangles]
Let ∠OBA = ∠OBC = x.
Since AC is a straight line,
∠OBA + ∠OBC = 180° [Linear pair]
or, x + x = 180°
or, 2x = 180°
or, x = 90°.
∴ ∠OBA = ∠OBC = 90°.
So, we can say that OB ⊥ AC, hence the theorem is proved.
Part C: The image is attached
Part D:
Let there be a circle with the center at O. Let AC be a chord. Let OE be a radius of the chord such that OE is perpendicular to AC at B, that is, AB ⊥ BC.
To prove: A line drawn from the center of the circle perpendicular to the chord bisects it.
Construction: We join OA and OB.
Proof:
In ΔOAB and ΔOCB,
OA = OC (Radius of the same circle)
∠OBA = ∠OBC = 90° (∵ OB ⊥ AC)
OB = OB (common side)
∴ ΔOAB ≅ ΔOCB [RHS axiom]
∴ AB = AC [Common parts of Congruent triangles]
So, we can say that OE perpendicular to the chord AC bisects it, hence the theorem is proved.
Learn more about chord properties at
https://brainly.com/question/13950364
#SPJ2
The measure of an angle is 32 degrees . What is the measure of its complementary angle?
Answer:
an angle measuring 32 degrees has a complement that measures (2x-16) degrees. What is the value of x?
Step-by-step explanation:
let me know if its right
A student usually saves $20 a month. He would like to reach a goal of saving $350 in 12 months. The student writes the equation 350 = 12(x+20) to represent this situation. Solve the equation for x.
Write your answer as a sentence that describes what the variable x represents.
Enter your answers and your work or explanation in the box provided.
Answer:
The student would need to save $9.17 more per month
Step-by-step explanation:
350 = 12(x+20)
350 = 12x + 240
12x = 110
x = 110/12
x = $9.17
there are 20 students in mr.clarks fourth grade class there are 5 times as as many students in the entire fourth grade class as there are in mr.clacks. which equation can be used to determine the number of students,n, in the entire fourth grade?
Answer:
there are 20 students in mr.clarks fourth grade class there are 5 times as as many students in the entire fourth grade class as there are in mr.clacks. which equation can be used to determine the number of students,n, in the entire fourth grade?
n= 20(5)
100 kids in the fourth grade
or
there are 140 kids in the 4 th grade
Step-by-step explanation:
the equation is n=20(5)
because 20(5) is the same as 20×5 so that 8s the equation
if x cubed = -8, what does x equal
Let's start the sum as follows:
x³ = 8
X × X × X = 8
This means there are 3 number which after Multiplication gives answer 8.
If 2 is multtiplied 3 times it will give you 8
Thus the answer of x is 2
x = 2.
x^3 = -8
The cube root of 8 is 2 = 2 x 2 x 2 is 8.
But, the answer is negative, which means that the cube root of -8 must be -2.
-2 x -2 x -2 = -8
x = -2
Hope this helps!
Which of the following reveals the minimum value for the equation 3x2 + 18x + 15 = 0?
can u give me a step by step
Answer:
Step-by-step explanation:
I have no idea
Answer:
3(x+3)^2=12
Step-by-step explanation:
3x^2-18x+15
(3x^2+18x)+15
3(x^2+6x)+15
3(x^2+6x+9)+15-27
3(x+3)^2-12
3(x+3)^2=12
Hope this helps!
Please mark as brainliest! Thanks!
Sarah chose 3 shells to purchase at a souvenir shop. The price tag for the first shell indicated $16, the second shell indicated $18, and the third shell indicated $12. After adding tax, the clerk at the shop said the total cost was $50. What percentage of the total cost was the tax?
F 12%
G 8%
H 4%
J 10%
What is the midpoint formula
Answer:
see image
Step-by-step explanation:
You average the x's and average the y's.
This means add x+x and divide by 2. And add y+y and divide by 2. See image.
NO LINKS PLEASE OR ILL REPORT!! 20 POINTS!!!
Write an equation to represent the verbal description.
The difference of six times a number and four times another number is 20.
Answer:
x=6*4y=20
Step-by-step explanation:
the difference = x, six times = 6*, 4 times = 4y, number is 20 = 20
Select the graph that represents h = -16t^2+ 80.
Answer:
Attach the graph options so i can help...
Step-by-step explanation: