How do I solve #21???? Please don't just give me the answer.... tell me how u got it... thanks!
Answers
Since Y and Z are on the same horizontal line, the distance between them is the difference of their x-coordinates: 6 - 1 = 5.
The segment XZ is the hypotenuse of a right triangle with sides 3 and 5, so its length is
.. XZ = √(3^2 +5^2) = √34
XY = 3
YZ = 5
XZ = √34 ≈ 5.83095
Related Questions
Evaluate log10 0.001
Answers
[tex]\implies\log_{10}0.001=\log_{10}10^{-3}=-3\log_{10}10=-3[/tex]
The operation 'log10 0.001' means 'the power to which we must raise 10 in order to obtain 0.001'. The answer is -3 because 0.001 can be represented as 10^-3.
Explanation:The question asks you to evaluate log10 0.001. To solve this, we examine the concept of 'logarithms'. In this case, the logarithm in question is base 10 (often written simply as 'log'), and we're being asked for the power to which we need to raise 10 to obtain 0.001.
We know that 0.001 can be written as 10^-3. Therefore, log10 0.001 = -3. This is because the logarithm indicates the exponent that the base number (10, in this case) must be raised to in order to obtain the specified number (0.001, here). So, when we say log10 0.001 = -3, we're saying '10 raised to power -3 gives us 0.001'.
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How can you divide 133 nickels into 8 bags so that there are the same number of nickels in each bag and the number in each bag is odd and there are none left over?
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Which of the following problem types CANNOT be solved using the law of sines?
**Choose ALL that apply!!!***
A. SAA
B. SSS
C. AAA
D. SAS
E. ASA
**I'm confused :( can you please explain? thank you :)
Answers
(sin A)/a =(sinB)/b = (sinC)/c
To use the above ratios, you need at least one angle and one side and one of either an angle or a side. So SSS and AAA don't work
Answer:
B) SSS C AAA D) SAS
Step-by-step explanation:
The sine rule is used when we are given
a) Two angles and one side (SAA)
b) Two angles and included side (ASA)
Sine rule can not be used in SSS,AAA or SAS.
Among the given options sine rule can not be used in cases B) SSS C AAA D) SAS
A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm. How long will it take to fill the cone? Use 3.14 to approximate pi. Enter your answer in the box.
Answers
We are told that the hose spills 1413 cm^3 of water every minute. We are also told the cone has a height of 150 cm and a radius of 60 cm. So far, so good.
First things first, we need to find out how much water can fit in the cone. That means volume. The volume of a cone is
π • r^2 • (h/3)
Let’s go ahead and plug in (remember we use 3.14 for π)
(3.14) • (60)^2 • (150/3)
The volume of the cone is 565,200 cm^3
Wait, I’m lost. What were we supposed to do again? Oh, right. We needed to find how long it would take for the hose to fill in the cone. Well, if we know the hose dispenses 1413 cm^3 per minute, and there is a total of 565,200 cm^3 the cone can take, we can divide the volume of the cone by the amount the hose dispenses per minute to get the number of minutes it’d take to fill it.
565200/1413
400 minutes. Wow, ok. I wouldn’t want to wait that long. That’s like watching 3 movies!
The graph shown is the graph of which function?
Answers
Answer:
The function of the graph is y = f(x) = x².
Step-by-step explanation:
From the graph we have
At x = 0, y = 0
Therefore f(x) = ax + c where c = 0
At x = 1 y = 1
At x = 4 y = 2
At x = 9 y = 3
At x = 16 y = 4
Therefore the graph is of the form, y= f(x) = x²
That is the graph can be plotted with a slope given by dy/dx = 2x an an intercept of c = 0.
Values of the graph are as follows
x y
1 1
2 √2
3 √3
4 2
5 √5
6 √6
7 √7
8 2√2
9 3.
Draw a tree diagram to support the area model.
Draw a maze that fits her plan.
Find P(Y). Explain your reasoning.
Find P(N). Explain your reasoning.
Ms. Sweet predicts 50 people will enter the maze next year. Based on your findings, give Ms. Sweets a recommendation for the number of pumpkins to place in the maze.
Answers
Then a second branch level off each of those 3 for the possible outcomes by the columns in that row. So the branch for the top row would have 4 further branches, the second row splits into 2 branches etc.
I'm assuming the probability is based off the area of each box, and that the splits are done equally each time.
As for drawing a maze, it's the same as the tree, just in a bit of a maze sort of shape (corners etc).
P(Y), P(N) and the number of pumpkins should come easily from the tree diagram.
Luisa sells stuffed animals.she sells a stuffed elephant for $34.90, and the sale tax is 6% of the sale price.about how much is the sales tax on the elephant
Answers
1. You have that Luisa sells a stuffed elephant for $34.90 and the sale tax is 6% of the sale price.
2. Then, you only have to multiply $34.90 by the sale tax, as below:
6/100=0.06
Sales tax on the elephant=$34.90x0.06
Sales tax on the elephant=$2.094
About how much is the sales tax on the elephant?
The answer is: $2.094
HOW DO YOU FIGURE OUT THE SLOPE OF A LINE ON A GRAPH?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
There are different ways to find the slope of a line on a graph
Step-by-step explanation:
One way to find the slope of a line is by putting your line into the equation y=mx+b
In case you don't know m= the slope and b= the y-intercept
If you want to put your equation into y=mx+b; you will need to do rise/run
This means you count how much your line goes up on the y-axis so you rise however many and then you go to the right or left and count until you get to the point that is in line with the y and x axis'.
Also you can use the equation Y2-Y1/X2-X1
You will do that by finding 2 points from the line and take the numbers and make it into Y2-Y1/X2-X1
For Example if you had,
(4,3)(6,8) you would do
8-3/6-4= 5/2 so your m, or your slope would be 5/2
I hope this helps!
If you were asked to find the 87th term in a sequence, which formula would you want to be given?
A) analog form
B) digital form
C) explicit form
D) recursive form,
Answers
Answer:
C) explicit form
Step-by-step explanation:
Since the explicit form is written in terms of the number of the term, it would be the most useful to find the 87th term. To use the recursive form, you would have to know the 86th term.
The product of what number and 7 is less than 49?
Answers
Answer:
All real numbers less than 7
Step-by-step explanation:
Let
x ----> the number
we know that
The inequality that represent the situation is
[tex]7x < 49[/tex]
Solve for x
Divide by 7 both sides
[tex]x < 49/7[/tex]
[tex]x < 7[/tex]
The solution is the interval -----> (-∞, 7)
All real numbers less than 7
EASY MEDAL !!!!!
Given the trinomial, what is the value of the coefficient 'B' in the factored form?
2x2 - 12xy - 32y2 = 2(x - 8y)(x + By)
B= ____________
Numerical Answers Expected!,
Answers
2x² - 12xy - 32y²
As a first step, we want to regroup 2:
= 2(x² - 6xy - 16y²)
Now, we want to re-write the term -6xy in order to be able to perform a partial factoring. In this case, we can write:
-6xy = -8xy + 2xy
Therefore, the polynomial becomes:
= 2(x² - 8xy + 2xy - 16y²)
Now we factorize x within the first two terms and 2y within the last two:
= 2[x(x - 8y) + 2y(x - 8y)]
We can now regroup the common term:
=2(x - 8y)(x + 2y)
Your answer is hence B = 2
12-packs of skwunch apple juice cost $3.00 after a 40% discount.Which equation would allow you to find the original price of the 12-packs?
Answers
Hope this help and plz give me points thank u :)
Answer:
The Iready Answer:
0.6x = 3
Find the area of the regular pentagon if the apothem is 4.9 m and a side is 7.1 m. round to the nearest whole number. 62 m2 34 m2 87 m2 17 m2
Answers
[Area of the regular pentagon]=5*[side length * apothem] / 2
side length=7.1 m
apothem=4.9 m
then
Area=5*[7.1 * 4.9] / 2-----------> 86.975 m²----------> 87 m²
the answer is 87 m²
what is the image of n for a 144° counterclockwise rotation about the center of the regular pentagon
A. A
B. E
C. P
D. T
Answers
144 is two fifths of 360 so for a pentagon, it would cause the point to shift two places
Answer:
The correct option is C. The image of N for a 144° counterclockwise rotation about the center is P.
Step-by-step explanation:
The number of vertices of a regular pentagon is 5.
The central angle between two consecutive vertices is
[tex]\frac{360}{5}=72[/tex]
It means the central angle between two consecutive vertices is 72 degrees.
We have to find the image of N for a 144° counterclockwise rotation about the center.
If pentagon rotates 72 degree counterclockwise rotation about the center, then the image of N is E.
If pentagon rotates (72+72) degree counterclockwise rotation about the center, then the image of N is P.
The image of N for a 144° counterclockwise rotation about the center is P.
Therefore the correct option is C.
A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 feet and the height is 10 feet.
What is the volume of the sand pile?
Use 3.14 for pi.
Enter your answer as a decimal
Answers
v= 3.14 (9*9 ) * 10
=847.8
The volume of pile of sand having diameter of 18 feet and height of 10 feet is 847.8[tex]feet^{3}[/tex].
What is volume?Volume is basically the amount of something which the container can hold in its capacity or the amount of material with the help of which it is formed.
How to determine volume?It is told that the pile of sand is of cone shaped and it is having diameter 18 feet and height 10 feet. So the volume of sand pile will be
Volume=1/3π[tex]r^{2} h[/tex]
Radius=diameter/2
=18/2
=9 feet
Volume=1/3*3.14*[tex]9^{2}[/tex]*10
=1/3*3.14*81*10
=254.34/3
=847.8 [tex]feet^{3}[/tex]
Hence the volume of the sand pile of diameter 18 feet and height 10 feet is 847.8 [tex]feet^{3}[/tex].
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PLEASE HELP ME!!!!!!! Estimate the correlation coefficient for each data set. Explain your reasoning.
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in a you can see somewhat of a line so you should pick a value between 0.5 and 0.7
in b you can see a line, the value you should estimate should be greater than 0.9
In c you kinda maybe imagine a line, but worse than a. so you should pick a number between 0.2 and 0.4
which letter has at least one line of symmetry?
D
J
G
P
DOES ANYONE HAVE THE WHOLE QUIZ???? UNIT 4 Compositions of Isometries
Answers
The letter D has a line of symmetry that runs horizontally down the middle. If you were to fold the letter D in half, you would see that the upper and lower half of the letter look the exact same.
Please help me thank you.
Answers
The 3rd selection is appropriate.
Suzie drew the line of best fit on the scatter plot shown.
What is the approximate equation of this line of best fit in slope-intercept form?
y = 6 over 5x + 3
y = 3x + 6 over 5
y = 5 over 6x + 3
y = 3x + 5 over 6
Answers
Slope intercept form is defined as:
y = mx +b
In this form for lines, m is the slope, and b is the y intercept. Hence, slope intercept. That means that in order to write it in this form, we need to know both the slope and y intercept. We'll start with the former.
Slope is defined as ride over run, or up over right (you know it's negative when it goes left). In order to calculate this, we can take two points that lie directly on a coordinate and put them into a fraction as rise/run.
We have;
(0,3) and (5,9)
As we can see, the difference between the two points is that (5,9) is 5 more to the right, and is 6 higher. We get 6/5. We can even see that in the coordinates, because they're written as (x, y). Additionally, you can use the slope given two points formula:
y2-y1/x2-x1 =
9-3/5-0 = 6/5
Notice how we get the same thing, because in both methods you're finding the difference between the two coordinates based off of rise/run. That's why it's y2 minus y1.
Now that we have our slope, we need the y intercept. The y intercept is simply where the line crosses the y axis. As we can see, it crosses at (0,3) - so the intercept is 3. Now we can create our equation
Slope = 6/5
Y intercept = 3
y = mx + b --> y = 6/5x + 3
Your answer is A, the first option.
Hope this helps!
Suppose the velocities of golf swings for amateur golfers are normally distributed with a mean of 95 mph and a standard deviation of 3.9 mph.
What is the difference in velocities between a golfer whose z-score is 0 and another golfer whose z-score is −1?
1.95 mph
2.9 mph
3.9 mph
7.8 mph
Answers
the z-score is given by:
z=(x-μ)/σ
the score for golfer with z-score of 0 will be:
μ- mean
σ- standard deviation
0=(x-95)/3.9
the value of x will be
0=x-95
x=95
the score for the golfer with z-score of -1 is:
-1=(x-95)/3.9
-3.9=x-95
x=-3.9+95
x=91.1
the difference in the score of the golfers will be:
95-91.1
=3.9
the answer is C] 3.9 mph
1. which two types of clouds indicate fair weather?
a) cirrus and cumulus
b) cirrus and stratus
c) cumulus and stratus
d) cumulus and nimbostratus,
Answers
Answer:
a) cirrus and cumulus
Step-by-step explanation:
The two types of clouds that indicate fair weather are :
a) cirrus and cumulus clouds.
Cirrus clouds are usually white and predict fair to pleasant weather.
Cumulus clouds are also called fair weather clouds and look like floating cotton in the sky.
Jeanette purchased a concert ticket on a web site.The original price of the ticket was $75.She used a coupon code to receive a 20% discount.This website applied a 10% service fee to the discounted price.Jeanette ticket was less than the original price by what percent?
Answers
Find discounted price.
Discounted $= original $ - (original $ * % discount)
Discounted $= $75 - ($75 * 20%)
Discounted $= 75 - 15
Discounted $= $60
STEP 2:
Find discounted $ plus service fee.
Price plus fee= discounted $ + (discounted $ * service fee %)
Price plus fee= $60 + ($60 * 10%)
Price plus fee= 60 + 6
Price plus fee= $66
STEP 3:
Find % change.
% change formula= (new # - original #) ÷ original # x 100
% change= (66-75)÷ 75 x 100
% change= -9 ÷ 75 x 100
% change= -0.12 x 100
% change= -12%
***the negative indicates a decrease
ANSWER: Her ticket was less than the original by 12%.
Hope this helps! :)
A bakery receives an order for 1600 cookies if 12 cookies are packed in each bag how many bags are needed
Answers
You get this by dividing the 1600 by 12 and rounding up.
134 bags are needed to pack all the cookies.
To solve this problem, you need to divide the total number of cookies by the number of cookies that fit in each bag.
Start with the total number of cookies:
1600 cookies.
Each bag can hold 12 cookies:
1 bag= 12 cookies
Divide the total number of cookies by the number of cookies per bag:
1600 ÷ 12.
Using division:
1600 ÷ 12
= 133.33.
Since you can't have a partial bag, you need to round up to the next whole number.
So, you will need 134 bags to pack all the cookies.
You roll an fair number cube. The six possible outcomes when rolling are one, two, three, four, five, six. What are the favorable outcomes when rolling an odd number?
1, 3, 5
2, 4, 6
1, 2, 3, 4, 5, 6
1, 2, 3
Answers
The answer is choice A) 1, 3, 5
A builder has 7200kg of sand.
A) write 7200 in grams
B) Give our answer in standard form,
Answers
whats the surface area of a cylinder with a base of 12in and hieght of 40in
Answers
The drop that riders experience on Dr. Doom's Free Fall can be modeled by the quadratic function, h(t)9.8t2 5t 39 where h is height in meters and t is time in seconds. From what height are the riders dropped? What is the height of the riders after 1.5 seconds?
Answers
The correct answer is 53.55 meters.
To solve this problem, we need to analyze the given quadratic function h(t) = [tex]9.8t^2 - 5t + 39[/tex], where h is the height in meters and t is the time in seconds.
The given quadratic function: [tex]h(t) = 9.8t^2 - 5t + 39[/tex]
Part 1: From what height are the riders dropped?
[tex]h(0) = 9.8(0)^2 - 5(0) + 39[/tex]
[tex]h(0) = 39[/tex]
The riders are dropped from a height of 39 meters.
Part 2: What is the height of the riders after 1.5 seconds?
[tex]h(1.5) = 9.8(1.5)^2 - 5(1.5) + 39[/tex]
[tex]h(1.5) = 9.8(2.25) - 7.5 + 39[/tex]
[tex]h(1.5) = 22.05 - 7.5 + 39[/tex]
[tex]h(1.5) = 53.55[/tex]
The height of the riders after 1.5 seconds is 53.55 meters.
The rectangular room is given by the trinomial x^2+4x-12. What are the possible dimensions of the rectangle? Use factoring. (1 point) (x-6) and (x-2) (x+6) and (x+2) (x-6) and (x+2) (x+6) and (x-2) 17. What is the factored form of the following expression? X^2+2xy-48y^2 (1 point) a. (x+6y)(x-8y) b. (x-6y)(x-8y) c. (x+6y)(x+8y) d. (x-6y)(x+8y) 18. The area of a rectangular art studio is given by the trinomial 24x^2-4x-8. What are the possible dimensions of the studio? Use factoring. a. (3x-2) and (8x-4) b. (3x-2) and (8x+4) (3x-2) and (8x-4) (3x+2) and (8x-4)
Answers
a]
x²+4x-12
=x²+6x-2x-12
=x(x+6)-2(x+6)
=(x-2)(x+6)
thus the dimensions are (x-2) units (x+6) units
b]
x²+2xy-48y²
factorizing the above is:
x²+8xy-6xy-48y²
=x(x+8y)-6y(x+8y)
=(x+8y)(x-6y)
c]
24x²-4x-8
factoring the above we get:
=4(6x²-x-2)
=4(6x²+3x-4x-2)
=4(3x(x+2)-2(x+2))
=4(3x-2)(x+2)
=(12x-8)(4x+8)
A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long. What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.
Answers
Using the Pythagorean Theorem,
3rd side^2 = 360^2 -160^2
3rd side^2 = 129,600 - 25,600
3rd side^2 = 104,000
3rd side = 322.49
Perimeter = 2 * (160 + 322.49)
Perimeter = 964.98 feet
Answer:
Perimeter of rectangle rounded to the nearest hundredth is 964.98 feet.
Step-by-step explanation:
Given : A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long.
To find : What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.
Formula used : perimeter = 2* length + 2√[tex]d^{2} -l^{2}[/tex].
Solution : We have diagonal of 360 feet and length = 60 feet .
plugging all the values of d and , l in formula .
perimeter = 2* 160 + 2√[tex]360^{2} -160^{2}[/tex].
perimeter = 320 + 2√[129600 -25600].
perimeter = 964.98 feet = nearest hundredth = 964.98 feet.
Therefore, Perimeter of rectangle rounded to the nearest hundredth is 964.98 feet.
MATH HELP PLEASE WILL GIVE BRAINLIEST!
This figure shows circle Z with chords AB and RS .
mAR=55°
mRB=66°
AB=8 m
RS=8 m
What is mRS ?
Enter your answer in the box.