Answer:
m∠QPR = 20°
Step-by-step explanation:
If we make a sketch of the triangle, it will be observed, that line R bisects angle P.
Considering Triangle, ΔQPS;
∠QPS=107∘
Considering triangle, QPR;
∠QPR=9x-115∘
Considering triangle, RPS;
∠RPS=4x+27∘
Thus, ∠RPS + ∠QPR = ∠QPS
4x+27° + 9x-115° = 107°
13x - 88° = 107∘
13 x = 107∘ + 88∘
13x = 195°
x = 195°/13
x = 15°
m∠QPR = 9x - 115°
= (9 x 15) - 115°
= 135° - 115°
= 20°
Therefore, m∠QPR = 20°
The lower the average monthly temperature, the higher the monthly heating bill.
There is a low correlation between the average monthly temperature and the monthly heating bill.
There is no correlation between the average monthly temperature and the heating bill.
The lower the average monthly temperature, the lower the monthly heating bill.
Evaluate 2x + 5y for x = 12 and y = 6.
Answer:
54
Step-by-step explanation:
2x + 5y
Let x=12 and y = 6
2(12) + 5(6)
24+30
54
Answer:
54
Step-by-step explanation:
2x + 5y ( x = 12) ( y = 6)
2 ( 12 ) + 5 ( 6 )
24 + 30
= 54
Elene and abbi are in a race. Elene can run 3 meters per second and abbi can run 2 meters per second. Elene gives abbi a 10 meter head start. How long will it take for elene to catch abbi?
Answer:
10 Seconds
Step-by-step explanation:
Speed of Elene = 3m/s
Speed of Abbi = 2m/s
Let the time be t seconds taken by Elene to catch abbi.
Distance for any speed S and time is calculated by formula given below
Distance = speed * time
distance covered by Elene in time t = 3m/s * t = 3t m -->equation Adistance covered by Abbi in time t = 2m/s* t = 2t m --> equation BSince it is given that Elene has given abbi 10 m head start it means that
Elene has to run extra 10 meters than Abbi to catch abbi.
Thus we can say that
distance run by Elene = 10 m + distance run by Abbi
Substituting that value distance run by Elene from equation A
and distance run by Abbi from equation B
we have
3t = 2t +10
=>3t - 2t = 10
=> t = 10
Therefore it will take 10 second for elene to catch abbi.
Gia’s gross annual salary is $46,392.
What is the recommended maximum monthly rent she should pay?
$1082
$1648
$1933
Answer:
$1082
Step-by-step explanation:
28% of $46,392
=28 over 100 x 46,392
= 12989.76
Monthly Rent
=12989.76 over 12
=1082.48
Maximum monthly rent paid by Gias= $1082.48
Option A: 1082
Evaluate 1251000‾‾‾‾√3.
25200
15100
325
510
D is the answer
Step-by-step explanation:
I searched it
Answer:
The correct answer is indeed 510, but it would be 5/10.
I also love your picture. The Promised Neverland is a great anime. One of my favorites.
Step-by-step explanation:
To prove my case see image:
Simplify (4x + 2) x 3
Put these numbers in order, smallest to largest 4.9 9.44 9.4 4.09 4.99
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
Edward has $8000 in a savings account, has $2500 invested in the stock
market, owns home worth $30,000, has $20,000 left on his student loan
payment, and he has a $600 outstanding credit card debt. What is Edward's
total net worth?
A.19,900
B. 30,000
C. 20,600
D. 40,500
Answer:A 19900
Step-by-step explanation:
Answer:
A.19,900
Step-by-step explanation:
hope this helps!!
My phone rang midway between 10:53 A.M. one day and 1:05 P.M. the next day. It rang at
a) 11:58 P.M.
b) 11:59 P.M.
c) 12:59 A.M.
d) 1:59 A.M.
Step-by-step explanation:
So lets count the time between 10:53 and 1:05
7 Mins to 11
2 Hours to one
5mins to 1:05
Total 2 hours 12 mins divided by 2 to find the middle
1 hour 6 mins. We add 1 hr 6 mins to 10:53.
10:53 + 6mins equals 11:59
11:59 + 1hour = 12:59
Answer c
The radius of the earth is 3959 miles. A meteor with a diameter of 750 miles strikes the earth in an unpopulated area. What percent of the earths surface is affected by the meteor strike? Is it a 36% be 0.9% C9% or D3.6%
Answer:
B. 0.9%
Step-by-step explanation:
If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles
The radius of the earth is 3959 miles
Assuming that both bodies are spherical, their surface are:
meteor's surface: π*r² = π*375² = 441786.467 miles²
Earth's surface: π*3959² = 49240321.1 miles²
If 49240321.1 miles² represents 100% then 441786.467 miles² represents:
49240321.1 miles² / 100% = 441786.467 miles² / x%
x = 441786.467/49240321.1*100
x = 0.9%
Answer:
B) 0.9%
Step-by-step explanation:
which expression can be used to find the surface area of the following triangular prism
Answer: A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.
Answer:
C
Step-by-step explanation:
=) Khan
BRAINLIEST MARKED!! PLSS HELP ASAPP!! Plz show all work!!!
Answer:
551.7
Step-by-step explanation:
it is the square + the circle
15*25+πr²
375+π(15/2)²
375+π225/4
375+176.625=551.625
Answer:
E) 551.7 ft Squared
Step-by-step explanation:
First find the area of the rectangle. 15 x 25 = 375. Then remove the rectangle so your left with a circle with a diameter of 15. Find the area of the circle. Pi x R squared. Pi x 7.5 squared = 176.7 . Then add the areas together. 375 + 176.7 = 551.7
math help pls, thank you
Answer:
D. A minimum
Step-by-step explanation:
Point F is lower than the points nearby, both to the left and the right. Therefore it is a local minimum.
A sporting goods company sells a tent with the dimensions shown. The company wants to introduce a new, larger tent that is geometrically similar to the original tent but with a height of 6 feet. How will the volume of the new tent compare with the volume of the original tent?
Answer:
The volume of the new tent will be 27/8 times the volume of the original tent.
Step-by-step explanation:
First, you take the ratio of 6/4 and simplify it down to 3/2.
Next, you take the ratio, and have to get its volume. Volume is just one length CUBED, so you cube both sides.
Then, after you cube the simplified fraction, you get 27/8.
Jenny has bought 24 pounds of dog food. She feeds her dog 3/8 pounds for each meal. For how many meals will the food last?
Answer:
64 meals
Step-by-step explanation:
24 ÷ 3/8
= 24 x 8/3
= 192/3
= 64 meals
Use the diagram below to find the distance between points (-6, 5) and (-1, -7).
A. 13 units
B. 19 units
C. 6 units
D. 17 units
Answer:
A. 13 units
Step-by-step explanation:
using distance formula
(x2-x1)^2 + (y2-y1)^2 in roots
(-1+6)^2 + (-7-5)^2 in roots
5^2 + 12^2 in roots
25 +144 in roots
169 in roots
13 units
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Answer:
A proportional relation is a logical relation that establishes a range of conditional relations that together involve direct or inverse correlation.
Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.
I have to make sure that there is at least one variable that directly effects another.
Some equations are y = 3x, y = 1.5x, and y = 2/3x.
Step-by-step explanation:
The graph of f(x) = (xl is reflected across the y-axis and
translated to the left 5 units. Which statement about the
domain and range of each function is correct?
Answer:
The range is different. (Last option)
Step-by-step explanation:
Since the graph was reflected, the range will change since it is no longer a minimum amount but a maximum amount that it will reach. The domain will continue to stay the same because the x values it will reach are still all real numbers.
Use the tool to measure the sides and angles of the triangles. Triangle XYZ is the pre–image. Are the triangles similar? Yes, No, Not Enough Information. If so, what is the scale factor going from triangle PQR to triangle ZYX? 1/4, 1/2, 2, cannot be determined
Answer:
"yes" the triangles are similar
the scale factor going from triangle PQR to triangle ZYK is "2"
Step-by-step explanation:
i just did it :3 good luck!
Answer:
"yes" and "2"
A cylinder has a height of 19 inches and a radius of 18 inches. What is its volu
3.14 and round your answer to the nearest hundredth.
Answer:
19339.64 in³
Step-by-step explanation:
Volume of a cylinder: V = π · r² · h
V = π · 18² · 19
V = π · 6156
V = 19339.64 cubic inches
If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the Circle that is not covered by the hexagon? ( with explanation )
Answer:
[tex]\left(100\pi - 150\sqrt{3}\right)[/tex] square inches.
Step-by-step explanation:
Area of the Inscribed HexagonRefer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be [tex]10[/tex] inches (same as the length of each side of the regular hexagon.)
Refer to the second attachment for one of these equilateral triangles.
Let segment [tex]\sf CH[/tex] be a height on side [tex]\sf AB[/tex]. Since this triangle is equilateral, the size of each internal angle will be [tex]\sf 60^\circ[/tex]. The length of segment
[tex]\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}[/tex].
The area (in square inches) of this equilateral triangle will be:
[tex]\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}[/tex].
Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:
[tex]\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}[/tex].
Area of of the circle that is not coveredRefer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is [tex]10[/tex] inches, the radius of this circle will also be [tex]10[/tex] inches.
The area (in square inches) of a circle of radius [tex]10[/tex] inches is:
[tex]\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi[/tex].
The area (in square inches) of the circle that the hexagon did not cover would be:
[tex]\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}[/tex].
9) A cooler contains eight bottles of sports
drink: four lemon-lime flavored and four
orange flavored. You randomly grab a
bottle and give it to your friend. Then,
you randomly grab a bottle for yourself.
You and your friend both get lemon-lime.
Are the events independent or dependent?
What is the probability?
Answer:
dependent. 2/8=1/4
Step-by-step explanation:
Graph: y = 12 - 41 + 2
Step-by-step explanation:
y=-27
...................
The sum of two numbers is 30 and their difference is 12. Find the two numbers.
Answer:
let the two numbers are x & y
x+y=30...eq(1) &x-y=12....eq(2)
x=30-y then put in the eq(2)
30-y-y=12
30-2y=12
-2y=12-30
-2y= -18
y=9 then we put this answer in to eq(1)
so,x+y=30
x+9=30
x=30-9
x=21
so, the two numbers are (21,9)
3. After completing a statistical analysis of a survey of 40 students, the principal
of North High School made the following conclusion: reject the null hypothesis;
there is convincing evidence that more than 50% of students support a schedule
change to have lunch occur earlier in the day. Which error could have been
committed?
(A) Type I error: Conclude that more than 50% of students want earlier lunch, when
50% or less want earlier lunch.
(B) Type l error: Conclude that more than 50% of students want earlier lunch, when
more than 50% want earlier lunch.
(0) Type Il error: Fail to reject that 50% of students want earlier lunch, when more than
50% want earlier lunch.
(D) Type Il error: Fail to reject that 50% of students want earlier lunch, when 50% or less
want earlier lunch.
(E) Type Il error: Fail to reject that more than 50% of students want earlier lunch, when
50% or less want earlier lunch.
Answer:
Option A
Step-by-step explanation:
A type I error is committed when a researcher rejects the null hypothesis when it is actually true.
The null hypothesis is: U <= 50%
The alternative is: U > 50%
Thus, the principal could have committed an error by rejecting null hypothesis and concluding that more than 50% of students want earlier lunch, when in actuality 50% or less want earlier lunch.
Create a list of steps, in order, that will solve the following equation.
3(x+2)^2=48
Answer:
Start with the given equation.
%28x-2%29%5E2=%2848%29%2F%283%29 Divide both sides by 3.
%28x-2%29%5E2=16 Reduce.
x-2=%22%22%2B-sqrt%2816%29 Take the square root of both sides.
x-2=sqrt%2816%29 or x-2=-sqrt%2816%29 Break up the "plus/minus" to form two equations.
x-2=4 or x-2=-4 Take the square root of 16 to get 4.
x=2%2B4 or x=2-4 Add 2 to both sides.
x=6 or x=-2 Combine like terms.
Step-by-step explanation:
Find the value of X
X=
Part B
Find the measure of RPS
A. 45
B. 36
C. 60
D. 64
Answer:
x=8
RPS = 36
Step-by-step explanation:
QPS = 180
The two angles that form QPS
QPR + RPS = 180
7x+88 + 3x+12 = 180
Combine like terms
10x+100 =180
Subtract 100 from each side
10x = 180-100
10x = 80
Divide by 10
x =80/10
x = 8
RPS = 3x+12
= 3(8)+12
24+12
36
omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different furniture combinations are possible?
Answer:
There are 180 possible combinations for the furniture.
Step-by-step explanation:
4*5*9=180
Answer
180 combinations
Step-by-step explanation:
To figure out the number of combinations, we multiply 4*5*9. 4*5 equals 20 and 20*9 equals 180.
The distance from home to school is 7/8 of a mile for Amy and 2/4 of a mile for Tom. How much farther does Amy walk than Tom?
The answer is 3/8
because 2/4 × 2 = 4/8
7/8 - 4/8 = 3/8
Answer:
3/8 of a mile more
Step-by-step explanation:
2/4=4/8
7/8-4/8=3/8
