[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]
III
Finding a missing side length given two similar triangles
AABC and APQR are similar. Find the missing side length.
B
AA
30
48
5
8.
А
36
СР
?
R
Answer:
6
Step-by-step explanation:
These are similar triangles, which means the side lengths are proportional!
30:5=6, so there is a scale factor of six.
36/6 is six!
Answer:
PR = 6
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{AC}{PR}[/tex] = [tex]\frac{BC}{QR}[/tex] ( substitute values )
[tex]\frac{36}{PR}[/tex] = [tex]\frac{48}{8}[/tex] = 6 ( multiply both sides by PR )
6 PR = 36 ( divide both sides by 6 )
PR = 6
A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?
Answer:
3.26
Step-by-step explanation:
33.5/3.14 = 10.66 ( when rounded to the nearest tenth).
10.66 square rooted is 3.26
The required radius of the sphere is 2 inch.
Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.
Volume, is defined as mass gained per unit cube of density.
Here, area of sphere = [tex]4/3\pi r^3[/tex]
33.5 = 4/3 πr³
r³ = 33.5 * 3/4π
r = 2
Thus, the required radius of the sphere is 2 inch.
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if you answer correctly i will mark you brainliest
Answer:
200
Step-by-step explanation:
main steps in solving algebraic equations are number one we tie the up the equation. So basically expand any brackets or divide out any fractions.
Standing at a trailhead, you look up at a 54° angle and see your friend's cell phone reflecting the sun. You know that she is at the top of the 1200-foot cliff and you call her to say you'll meet her at the bottom of the cliff. How many feet will you have to walk to meet? Round to the nearest tenth.
Answer:
871.9 feet,
Step-by-step explanation:
tan 54 = 1200/ x where x is the distance you have to walk.
x = 1200 / tan54
= 871.85
Lila is ordering photos online. Each photo costs $0.08, and there is a shipping charge of $4.00.
How many photos can Lila order for $20?
Answer:
4 almsot 5. The exact answer is 4.90196078431
Step-by-step explanation:
each photo cost $4.08 with shipping. 20 dvided by 4.08 is 4.90196078431. But since you cant order 0.9 of a photo Lila can order only 4.
ing a Reflection in the
oordinate Plane continued
angle XYZ is reflected across the y-axis to form
ure X'Y'Z'.
for classroom use.
Step-by-step explanation:
17) no problem were noticed, just:
reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';
reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.
For more info see the attached picture.
What is 28x²y + 38xy - 6y factored?
Answer:
(2y)(7x-1)(2x+3)
Step-by-step explanation:
first, all the terms have a 2 and a y in common. you can take that out of every term. then i just used the quadratic x factor method, you can find out what it is via the internet, its the fastest option to factor if possible :)
Answer:
[tex]=2y (7x-1) (2x+3)[/tex]
Step-by-step explanation:
[tex]28x^{2}y + 38xy - 6y[/tex]
[tex]=2y(14x^{2} +19-3)[/tex]
[tex]=(7x-1) (2x+3)[/tex]
[tex]=2y(7x-1) (2x+3)[/tex]
Find the solution set of the inequality
4.7 -1 <11.
Answer:
4x-1<11
4x<11+1
4x<12
x<12/4
x<3
Two of the interior angles of a triangle are 50° and 75°. Which of the following could be a measure of an exterior angle of the triangle?
Answer:
Step-by-step explanation:
so, 50+75=125.
180-125=55.
There can be-
130, 95, and 125
a rectangle has an area of 473.2 m one of the sides is 9.1m in length answerh what is the perminiter
length= 9.1m
area= 473.2m^2
to find the perimeter:Substitute values for length (l) and breadth (b) into the perimeter formula.
solution:473/9.1=52
perimeter of rectangle= l+l+b+b
=52+52+9.1+9.1
P=122.2m
An angle measures 142° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
161° and 19°
Step-by-step explanation:
supplementary angles =180
(142+x)+(x)=180
142+2x=180
2x=180-142
2x=38
x=19
142+19=161
Find a 99% confidence interval for each of the following. Round to the nearest tenth if necessary. 1. x = 75, s = 10, and n =64 2. x = 56,5 = 2, and n= 50. 3. X = 40, s = 3, and n = 36
The 99% confidence interval will be (71.76, 78.23), (55.27, 56.73), and (38.71, 41.29).
How to calculate the confidence interval?The test statistic for 99% confidence interval is 2.58. Therefore, the 99% confidence interval when x = 75, s = 10, and n =64 will be:
= [75 - (10 × 2.58)/✓64, 75 + (10 × 2.58)/✓64,]
= 71.76, 78.23
The 99% confidence interval when x = 56,5 = 2, and n= 50 will be:
= [56 - (2 × 2.58/✓50), 56 + (2 × 2.58/✓50)]
= 55.27, 56.73
The 99% confidence interval when x = 40, s = 3, and n = 36 will be:
= [40 - (3 × 2.58)/✓36, 40 + (3 × 2.58)/✓36]
= 38.71, 41.29
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solve the system of equations 25-x=-4y and 3x-2y=30
Answer:
the system of equations 25-x=-4y and 3x-2y=30
Step-by-step explanation:
the system of equations 25-x=-4y and 3x-2y=30
Answer:
(7, -9/2)
x=7
y=-9/2
Step-by-step explanation:
1. x=25+4y
2. 3x-2y=30
substitute 1 in 2
3. 75+12y-2y=30
simplify
10y=-45
y=-9/2
substitute y in to the second equation 3x-2y=30
3x+9=30
3x=21
x=7
At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold: ?
The number of hot dogs sold: ?
At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold .
Given : -Total of sodas and hot dog sold = 197No. of hot dogs sold = 41 less than the no. of sodas soldTo Find : -No. of soda soldNo. of hot dog soldConcept : -We have to solve this question by making equation and after creating equations we have to solve them properly to get the final answer .
To Assume : -Let the no. of soda sold be x .Let the no. of hot dogs sold be x - 41 ( Because they are 41 less than sodas )So Starting Solution : -According to question we know that combined total of sodas and hot dogs is :
x + ( x - 41 ) = 197x + x - 41 = 1972x - 41 = 1972x = 197 + 412x = 238x = 238/2x = 119Therefore , No. of sodas sold is 119 .
Now , Hot dogs :
x - 41 119 - 41 78Therefore , No. of hot dogs sold is 78 .
Verifying :We know that their combined sum is equal to 197 . So ,
Sodas + Hot Dogs = 197119 + 78 = 197197 = 197L.H.S = R.H.STherefore , our answer is valid .
#[tex] \sf{Keep \: Learning}[/tex]Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?
Answer:
the answer is B
Step-by-step explanation:
Answer:
inactivity fee
Step-by-step explanation:
Please help I'm stuck
Answer:
C, those who vote FOR the Ballet Measure tend to be from District 2.
Step-by-step explanation:
Look carefully, read the questions! Okay! Cya!
Those who vote for the ballot measure tend to be from District 2. The correct option is C.
How to calculate the relative frequency of the data?To calculate the relative frequency, we need to divide each cell value by the total number of people who voted. This will give us the proportion of people in each category.
District 1:
For: 13/75 ≈ 0.1733
Against: 12/75 ≈ 0.16
District 2:
For: 15/75 ≈ 0.2
Against: 10/75 ≈ 0.1333
District 3:
For: 9/75 ≈ 0.12
Against: 16/75 ≈ 0.2133
Based on the relative frequencies, we can see that the highest proportion of people who voted for the ballot measure is from District 2 (0.2),
While the highest proportion of people who voted against the ballot measure is from District 3 (0.2133). Therefore, the association that the two-way table suggests is:
The correct option is C.
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what is the angle of elevation of the sun when the shadow of a pole of 18m high is 6√3m long? ( i need step by step explanation pls I'm having a class test tmr pls help)
Answer:
See diagram below
Step-by-step explanation:
arctan (angle ) = 18 / (6 sqrt3) = 60 degrees
Step-by-step explanation:
height of pole = 18m = p
length of shadow = 6[tex]\sqrt{3}[/tex] m = b
now,
tan α = p/b
= 18/6[tex]\sqrt{3}[/tex]
= [tex]\sqrt{3}[/tex]
or, tan α = tan 60
α = 60
Therefore angle of elevation of the sun is 60.
Ayudaa no le entiendoo.
[tex]3 {x}^{5} + 2 {x}^{3} + x + {x}^{2} - 2x + 5 = [/tex]
[tex]3 {x}^{5} + 2 {x}^{3} + {x}^{2} - x + 5[/tex]
Answer:
3x⁵ + 2x³ + x² -x + 5
Step-by-step explanation:
(3x⁵ + 2x³ + x) - (-x² + 2x - 5) <== multiply to remove the parenthesis
1(3x⁵ + 2x³ + x) - 1(-x² + 2x - 5)
1(3x⁵) + 1(2x³) + 1(x) + -1(-x²) + -1(2x) + -1(-5) <== remember multiplying 2 negatives, makes a positive
3x⁵ + 2x³ + x + x² - 2x + 5 <== combine any like terms
3x⁵ + 2x³ + x² -x + 5 <== make sure that your answer is in Standard form (in decreasing degrees)
Hope this helps!
Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)
Answer:
Step-by-step explanation:
Log Rules
A plus sign between logs means multiply.A minus between logs means divideA number in front of the log means a powerGivens
1/2 log (x)
log (x)^(1/2)
2 log(2y)
log(2y)^2
log(2^2y^2)
log(4y^2)
3 log(z)
log(z^3)
Solution
log(x)^(1/2) * log(z^3) / log(4 y^2)
Answer: log(x^1/2)*(z^3)/(4y^2)
what’s the volume 9m,8m,9m
Answer:
9 x 8/2 = 36 l 36 x 9 = Volume
Step-by-step explanation:
we know base is a triangle to to find volume is area of the base times the height and on the right side of the figure, (look at photo) the height is 9 so just do 36 times 9 to get the volume.
hope this helps :D have a good night!
someone please answer these 3 questions
Answer:
5 prism all have same volume
Step-by-step explanation:
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Each month, Alex’s cellphone plan costs
$15, plus $0.10 per minute of use.
Which graph could represent Alex’s total
monthly cost?
Answer:
Graph-d
Step-by-step explanation:
We are given that,Each month, Alex’s cellphone plan costs $15 and additional 0.10 per minute of use. The equation that would represent Alex's total monthly costs would be linear equation (equation of a line). Linear equation has the following form:
[tex]y = mx + b[/tex]
in this case,
m represents the cost of Alex's per minute of useb represents the initial costs of Alex's cellphone planm represents the number of minutesy represents the amount of total monthly costSince Alex’s cellphone plan initially costs $15, b would be 15 . Again he has to pay an additional cost of $0.10 per minute of use. hence, m would be 0.10 or ⅒ . Therefore our equation of line is
⇒[tex]y=\dfrac{1}{10}x+15[/tex]In conclusion
Graph d represents Alex’s total monthly cost
Can you help me with this problem it is greatly appreciated
Answer:
Mikiala, just remember π is just a number. sooo
Step-by-step explanation:
we need a formula for area of a cone which is (1/3) * π * r² * h
A = area , then
A= (1/3) * π * r² * h
now just solve with the known info
A = 1/3 * π* [tex]6^{2}[/tex] *16
A= 192π
Answer:
603.2
Step-by-step explanation:
Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h
Benin is sawing boards to make a deck. What is the area of the deck, shown
here?
La
10 ft
7 ft
5 ft
6 ft
help pls (explain to)
Answer:
C. 108.5 square feet
Step-by-step explanation:
Area of the deck
Area (left triangle) + Area (rectangle) + Area (right triangle)1/2 x 6 x 7 + 10 x 7 + 1/2 x 7 x 521 + 70 + 17.591 + 17.5108.5 square feetFind the value of x.
I’m desperate for help
Answer:
the answer is 24 since 24 x 5 = 120
Step-by-step explanation:
Hope this helps you!
Use the graph to complete the follow statement. _____ cm of rain fell in total on Tuesday.
Answer please please please
Answer:
1. 18?, 2. 10?, 3. 16?, 4. 36?, 5. 10?, 6. 18?.
Step-by-step explanation:
I'm not sure though your picture was not clear enough and I have quite bad eyesight.
please help with the question
Answer: (A) 11,-2/5
Step-by-step explanation:
when we solve the equation we get x=10 -5/2y and 3 x- 10 y = 37
then we substitute the value of "x" 3 (10-5/2y)- 10y=37
then we substitute the value oh "y" y= -2/5
solution
(x,y) = (11, -2/5)
HELPPPPP
Three students are randomly selected from 10 students of different weights.
Find the probability that the heaviest one out of the selected students is the 4th heaviest among the 10 students.
Answer:
3/100
Step-by-step explanation:
3 students out of 10 were chosen and the fourth heaviest is 1/10
3/10 * 1/10 = 3/100
Scaling factors! Help please!
Answer:
x=3
y=12
Step-by-step explanation:
The scale factor is 1:4
we divide 12 by 4 to get 3
if we multiply 3 by 4 it is 12 so y=12
