Select all that are true for Triangle PQR
In other words, only choice A and choice D are false.
====================================================
Explanation:
An included angle is one between two given sides. Think of the angle sandwiched in between.
For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.
In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.
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For choices D through F, we'll just take this logic in reverse.
The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.
Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.
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Overall, we have four true statements and they are choices B, C, E and F.
what is the solution set for this inequalty? -8x + 40> -16
Answer:
x < 7
Step-by-step explanation:
-8x + 40> -16
Subtract 40 from each side
-8x + 40-40> -16-40
-8x >-56
Divide each side by -8, remembering to flip the inequality
-8x/-8 < -56/-8
x < 7
34. find the square root of 298116 by
using long division method *
Answer:
hope it is helpfulto you
Answer:
Step-by-step explanation:
The answer is 546
3 to the fourth power +9
Answer:
81
Step-by-step explanation:
3*3=9
9*3=27
27*3=81
Answer: 90
Step-by-step explanation:
3 to the fourth power = 81
81 + 9 = 90
Determine the area for the figure below.
Answer:
Area = 18
Step-by-step explanation:
Trapezoid formula is Area = (a + b) * h/2
Area = 5 + 7 * 3/2
Area = 18
Solve for y: 3y - x = a
Evaluate the expression when x=7 and y=-3. 5y2-x
The volume of a cube with sides 3xy^2
Answer:
27(x^3)(y^6)
Step-by-step explanation:
the steps are in the pic above
In ΔGHI, the measure of ∠I=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of ∠G?
Answer:
80/39
Step-by-step explanation:
What is the value of N in this proportion 16/40= 8/n
Answer:
n = 20
Step-by-step explanation:
[tex]\frac{16}{40} = \frac{8}{n}[/tex]
Cross multiplication would result in:
16 * n = 8 * 40
16n = 320
n = 320 / 16
n = 20
Therefore the value of "n" in this proportion is 20.
Hope this helps!
If a^b = 1, what is the value of 'b'?
Answer:
Step-by-step explanation:
the value of b is 0.
the base with the power 0 is always 1
The diameter of a circle is 2 meters. What is the circles circumftance
Answer:
2π or 6.284 meters
Step-by-step explanation:
Circumference = πd
= 2π
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm
What is the volume of the sphere?
Answer:
12 cm³
Step-by-step explanation:
the volume of the sphere = 4/3 πr³
the volume of the cylinder (h=2r)= πr².2r
= 2πr³
the volume ratio of S : C =
4/3 πr³ : 2 πr³
= 4/3 : 2
= 4 : 6
= 2 : 3
so, the volume of the Sphere =
2/3 × 18 = 12 cm³
Answer:
Solution given:
radius [r]=height[h]
volume of cylinder=πr²h
18cm³=πr³
again
volume of sphere
=4/3 πr³
=4/3*18=24cm³
the volume of the sphere:24cm³
how to find the vat on 14% of 1800
Answer:
[tex]14 \ 100 \1800[/tex]
HELP PLS +10 BRAINLY POINTS (SHOW WORK PLS)
Hi there!
[tex]\large\boxed{\text{System G.}}[/tex]
For a system to have an infinite number of solutions, both expressions must be equal. We can go through each system and determine this:
F:
x + 2 = y
4 = 2y - x
If we rearrange so that both are in the same format, we get:
x + 2 = y
x + 4 = 2y
These cannot be equal, so they do not have infinite solutions.
G:
2y + 6 = 4x
-3 = y - 2x
Rearrange:
2y + 6 = 4x
-y - 3 = -2x
We can try to make the bottom equation look like the top equation by multiplying all terms by -2. We get:
2y + 6 = 4x. This is the same as the top, so G has infinite solutions.
Just to be sure, we can go through the others:
H:
y + 3 = 2x
4x = 2y - 3
Rearrange:
y + 3 = 2x
2y - 3 = 4x. Cannot be equal to the other equation.
J:
y = 2x - 5
y = 2x - 2. Not equal.
The correct answer is G.
What do the value of
(5 1/3)^3
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....A tortoise and hare are competing in a race. The function f and g are such that f(t) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.
If we want to compute the number of seconds needed for the hare to finish the race, which of the following procedures should be used?
A. Solve g(t)=0 for the value of t.
B. Solve g(t)=1000 for the value of t.
C. Evaluate g(0).
D. Solve f(t)=g(t) for the value of t.
E. Evaluate g(1000).
Answer:
g(t) = 0; solve for t
Step-by-step explanation:
Given
Options (a) to (e)
Required
Which of the options is true
From the question, we understand that: g(t) represents hare's time to complete the race
At the beginning of the race, the time left to complete the race is at g(t) = 0; then solve for t.
Take for instance:
[tex]g(t) = 10 - t[/tex]
The time to complete the race is: g(t) = 0
So, we have:
[tex]0 = 10 - t[/tex]
Collect like terms
[tex]t = 10[/tex]
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Linear equation
Linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).
Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Find out more on Linear equation at: https://brainly.com/question/13763238
What times 4 gives me 1/5
Answer:
0.05
Step-by-step explanation:
Because 1/5 divided by 4 gives you 0.05 or 1/20
brainliest and many poitns FAST
Answer:
you're answer is, 22
Answer:
Solution given;
[tex]11 \div \frac{1 }{2} = \frac{11}{ \frac{1}{2} } = 11 \times 2 = 22[/tex]
22 is a required answer:.
The number of blue fish to red fish in a tank is
proportional. If there are 34 blue fish and 50
red fish in Tank A, how many blue fish are in
Tank B if there are 75 red fish?
A system of equations is shown below: y = 8x − 2 y = 9x − 7 What is the solution to the system of equations? (1 point) (−5, 38) (−5, −38) (5, 38) (5, −38)
Answer:
(5,38)
Step-by-step explanation:
Use graphing calculator and the answer should be the point where the line crosses each other.
Answer:
5,38
Step-by-step explanation:
its correct!
If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g•h)(-3)?
Answer:
8/5
Step-by-step explanation:
First find h(-3)
h(-3)= 4-(-3) = 4+3 = 7
Then take this result and find g(h(-3)) = g(7)
g(7) = (7+1)/( 7-2) = 8/5
Please help! And hurry
Answer:
the answer is b
Step-by-step explanation:
Answer:
b: 78.5cm²
Step-by-step explanation:
answer is b my friend
Dean Kuroff started a business of rehabbing old homes. He recently purchased a circa-1800 Victorian mansion and converted it into a three-family residence. Yesterday, one of his tenants complained that the refrigerator was not working properly. Dean’s cash flow is not extensive, so he was not excited about purchasing a new refrigerator. He is considering two other options: purchase a used refrigerator or repair the current unit. He can purchase a new one for $600, and it will easily last three years. If he repairs the current one, he estimates a repair cost of $150, but he also believes that there is only a 25% chance that it will last a full three years and he will end up purchasing a new one anyway. If he buys a used refrigerator for $200, he estimates that there is a 0.4 probability that it will last at least three years. If it breaks down, he will still have the option of repairing it for $150 or buying a new one. Develop a decision tree for this situation and determine Dean’s optimal strategy.
Answer:
The decision tree is a explained as follows
Step-by-step explanation:
Currently two options are available
Purchase a new refrigerator for $600.Repair this refrigerator for $150, There is only 25% chance that the refrigerator will work for the next three years. $37.5 ($150 * 0.25) There is 75% chance that the refrigerator will need to be purchased a new refrigerator for $600. $450 ($600 * 75%)3. If he buys a used refrigerator for $200 there is 40% chance that it will work for next three years. $80 ($200 * 40%)
But there is 60% chance that the refrigerator will not work and he willa. Repair the refrigerator for $150. $90 ($150 * 60%)
b. Buy a new refrigerator for $600. $360 ($600 * 60%)
Goldilocks needs to find at least 12 lbs gold and 18 lbs silver to pay monthly rent. Each day in Mine 1 she finds 2 lbs gold and 2 lbs silver. Each day in Mine 2, she finds 1 lb gold and 3 lbs silver. Set up and solve using either LPsolve or on-line solver How many total days in the mines
Answer:
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
Step-by-step explanation:
Requirement : 12 Ibs gold and 18 Ibs silver to pay monthly rent
Mine 1 ; 2 Ibs of gold , 2Ibs of silver.
Mine 2; 1 Ib of gold , 3 Ibs of silver
using LP
Gold : aX1 + bX2 ≥ 12 ---------- ( 1 )
Silver: cX1 + dX2 ≥ 18 --------- ( 2 )
where; X1 = days spent in Mine 1
X2 = days spent in Mine 2
Total days spent in mines : X1 + X2 =
a = Gold found in mine 1 = 2
b = Gold found in mine 2 = 1
c = silver found in mine 1 = 2
d = silver found in mine 2 = 3
Back to equations 1 and 2
2X1 + X2 ≥ 12 ----------- ( 3 )
2X1 + 3X2 ≥ 18 ------------ ( 4 )
solving equations 3 and 4
= 0 + 2X2 ≥ 6 ∴ X2 ≥ 3 days ( days spent in mine 2 )
Input value into ( 3)
2X1 ≥ 12 - 3 = 9
∴ X1 ≥ 4.5 days ( days spent in mine 1 )
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
Problem Solving
Find the exact solution of each equation for 0 and greater than or equal to q and less than 2pi.
4 cos^2q=3
An envelope is 6 cm longer than it is wide. The area is 72 cm squared, find the length and the width.
Answer:
full length would be 56 and width 42
Step-by-step explanation:
The required length and width of the envelope are given as 12cm and 6cm respectively.
Given that,
An envelope is 6 cm longer than it is wide. The area is 72 cm squared.
Surface area is defined as the measure of a region or surface is called as surface area.
Here,
Let the width of the envelope be x,
According to the question,
Length of the envelope = x + 6
Area of the envelope = (x + 6)x
(x + 6)x = 72
x² + 6x -72 = 0
(x + 12)(x - 6) = 0
x = 6 and x = -12
We consider x = 6 because the measure of length is always positive,
Length = x + 6 = 6 + 6 = 12
Thus, the required length and width of the envelope is given as 12cm and 6cm.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ2
if no digit appears more than once how mang 2-digit numbers can be formed from the digits 1,3,5, and 7?
Answer:
12
Step-by-step explanation:
You can choose the first digit 4 ways.
After that and since we want no repeats, we can choose the third digit 3 ways.
4 times 3 =12
Answer:
12 Mark me as brainliest!!
Step-by-step explanation:
how many 2-digit can be formed from the digits...
Combine all the digits without repeating
13, 15, 17
31, 35, 37
51, 53, 57,
71, 73, 75
12 digits
PLEASE HELP ASAP/ SOON
THANK YOU
Find the sum, if it exists, of the infinite geometric series that is related to the infinite geometric sequence {1,521, ; 1,369 ; 1,232; ...}. Round the value of r to the nearest hundredth, if needed
S = 16,643
S = 15,210
The infinite geometric series diverges.
S = 12,560
9514 1404 393
Answer:
(b) S = 15,210
Step-by-step explanation:
The common ratio is ...
r = 1369/1521 ≈ 0.90
So, the sum is ...
S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series
9514 1404 393
Answer:
(b) S = 15,210
Step-by-step explanation:
The common ratio is ...
r = 1369/1521 ≈ 0.90
So, the sum is ...
S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series
Which graph is a function of x?
Answer:
A vertical line through the origin
Step-by-step explanation: