Answer:
9.8 in²
Step-by-step explanation:
If A, B and C are the angles of a triangle and a, b, c are the repective sides opposite the angles, then the area of the triangle is given as:
Area = (1/2)absin(C)
In ΔQRS, the area is:
Area = (1/2)rqsin(S)
∠S + ∠Q + ∠R = 180° (sum of angles in a triangle)
∠S + 40 + 101 = 180
∠S = 39°
Using sine rule to find q:
[tex]\frac{q}{sinQ} =\frac{r}{sinR} \\\\\frac{q}{sin40}=\frac{6.9}{sin101} \\\\q=\frac{6.9*sin40}{sin101} =4.52 \ inches\\\\Area\ of\ triangle \ QRS=\frac{1}{2}rqsin(S) =\frac{1}{2}*6.9*4.52*sin(39)=9.8\ in^2[/tex]
Which set of angle measures CANNOT be the angle measures inside of a triangle?
45°, 45°, 45°
60°, 75°, 35°
60.5°, 59.5, 59°
65°, 60°, 55°
Answer:
Therefore, option A,B and C cannot be the angles of triangles.
Step-by-step explanation:
Given that total angles in a triangle is 180° so you have to add up all the angles :
Option A,
45° + 45° + 45° = 135° (Not a triangle)
Option B,
60° + 75° + 35° = 170° (Not a triangle)
Option C,
60.5° + 59.5° + 59° = 179° (Not a triangle)
Option C,
65° + 60° + 55° = 180° (It is triangle)
A rhombus has an angle measure of 120, and it’s longer diagonal has a length of 10 inches. What is the area?
Answer:
1200INCHES²
Step-by-step explanation:
the formula for the area of rectangle and rhombus is same so l*b will work....120*10=1200
Timed please help!
What is the measure of GHK?
Answer:
GHK = 28
Step-by-step explanation:
Angle GHK and angle JHI are vertical angles
Vertical angles are congruent so
Because angle JHI = 28 then angle GHK also equals 28
Answer:
The GHK is 28
Step-by-step explanation:
5 points A farmhouse shelters 10 animals. Some are goats and some are ducks. Altogether there are 36 legs. How many ducks and goats are there?
Answer:
2 ducks and 8 goats
Step-by-step explanation:
let goat be g
let duck be d
d + g = 10
ducks have 2 legs, 2d
goats have 4 legs, 4g
2d + 4g = 36
making d the subject in the first equation;
d = 10 - g
put in second equation
2(10 - g) + 4g = 36
20 -2g + 4g = 36
2g = 36 - 20
2g = 16
g = 8
if g is 8
d = 10 - 8
d = 2
If MJ = 30, KL = 32, and ML = 40, what is MK?
Answer:
MK = 80
M= 10
K= 8
Find the additive inverse of 3x−6
Answer:
3x+6
Step-by-step explanation:
inverse means the opposite of the sign and the opposite of subtraction is addition so I used addition
The additive inverse of 3x − 6 is -3x + 6
What is additive inverse?
The additive inverse of a number x is a number that when added to x gives a result of 0.
For the expression 3x - 6
The additive inverse is a number that can be added to the expression to get 0. Hence:
The additive inverse of 3x − 6 is -3x + 6
Find out more on additive inverse at: https://brainly.com/question/1097883
In 2005 the U.S. Census Bureau reported that 68.9% of American families owned their homes. Census data reveal that the ownership rate in one small city is much lower. The city council is debating a plan to offer tax breaks to first-time home buyers in order to encourage people to become homeowners. They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks. Since this plan costs the city tax revenues, they will continue to use it only if there is strong evidence that the rate of home ownership is increasing. a) In words, what will their hypotheses be
Answer:
H0 : Number of homeowners stays the same
H1: Number of homeowners increases.
Step-by-step explanation:
The hypothesis is to test if the level of home ownership rises or doesn't.
For this type of experiment,
The null hypothesis is the current level of home ownership.
The alternative hypothesis which is usually the opposite of the null is meant to challenge the claim of the Null. Hence, the null hypothesis will support the claim or hypothesis of the study, which is that the number of homeowners increases, hence, does not remain the same.
Therefore,
H0 : Number of homeowners stays the same
H1: Number of homeowners increases.
7h + 4 > 5 – 5h solve the inequality
Step-by-step explanation:
7h + 4 > 5 - 5h
7h + 5h > 5 - 4
12h > 1
h > 1/12
Answer:
h>1/12
Step-by-step explanation:
What is another way to name
ZDEF?
Select each correct answer.
Answer: <FED , <DFE , <EDF
Step-by-step explanation:
Answer:
<FED
Step-by-step explanation:
I've done this problem before.
Which criterion for triangle congruence will determine the congruence of the two triangles?
Someone plz help me giving brainliest
Answer:
no this is wrong its souposed to be moved twice so it will look like this:
706.56
Step-by-step explanation:
Which graph best represents y = 10 ( 0.85 ) x ?
Answer:i think it’s G
Step-by-step explanation:I used Photomath for graphing
Answer:
G
Step-by-step explanation:
I did it and got it right
Please!!!!!!!!! someone give me the correct answer to this question.
I will mark you brainliest for the correct answer.
The answer choices are at the bottom.
This is a big test.
Please help!!!
Answer:
(1 suptlimary) ( 2. 41) (3. alternate exterior) (4. 149)
Step-by-step explanation:
I need help with this guysss
Answer:
What are u asking for its just a pic
Step-by-step explanation:
Answer:
#12
17.7....
#14
31.7...
Step-by-step explanation:
12.
tan-1 (25/78)
= 17.77132082
14.
sin-1 (10/19)
= 31.756856386
Need help with this. Find the value of each variable.
Answer:
Step-by-step explanation:
By applying sine rule in ΔACD,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{CD}{AD}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{z}{24}[/tex]
z = [tex]8\sqrt{3}[/tex]
By applying cosine rule in ΔACD,
sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(30°) = [tex]\frac{AC}{CD}[/tex]
[tex]\frac{1}{2}=\frac{AC}{24}[/tex]
AC = 12
By applying tangent rule in ΔACB,
tan(45°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
1 = [tex]\frac{AC}{BC}[/tex]
y = 12
By applying sine rule in ΔACB,
sin(45°) = [tex]\frac{BC}{AB}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{y}{x}[/tex]
x = y(√2)
x = 12√2
How to factorise
a²b² - 6abc + 9c²
can anyone explain it by step-by-step
pls
Answer:
here is the step by step factorization process
Start at the origin. Move 3 units right and 1 unit up. What is the ordered pair at this point ? for brainlest!!!
Answer:
(3,1) should be the answer
Step-by-step explanation:
Hope this helps!
The ordered pair at this point is (3,1)
How to draw a shifted figure if the shifts are provided?Suppose the graph is drawn on the coordinate plane.
Let the shifting be (x,y) → (x+a, y+b)
Then, add 'a' to all x coordinates of the graph's points. Add 'b' to all y coordinates of the graph's points.
The resultant set of new points will be plotted.
Given;
From origin; move to right 3units
move upward 1unit
Moving to right 3units;
(0,0)= (3,0)
Move upward 1unit;
(3,0)= (3,1)
Therefore, the point on graph after shifts will be (3,1)
Learn more about graphs here:
https://brainly.com/question/26254258
#SPJ2
let fill this out it is timed so pls do it quickly
Answer:
They have no relation, except for the fact that they intersect. If the equations were instead y = +5/4x - 1/2 and y = -4/5x + 2, or y = +4/5 + 2 and y = -5/4x -1/2, then they would be perpendicular.
Option 3 is the right answer.
Step-by-step explanation:
For the given lines y = -4/5x+2 and y = -5/4x - 1/2
we have to identify whether lines are parallel or perpendicular.
As we know if two lines are perpendicular then gradients of two lines will in the form of
m1 m2=(-1)
and if the lines are parallel then the gradients of the lines will be same.
m1=m2
Here m1 = -4/5 and m2 = -5/4
Therefore
m1m2=(-4/5)(-5/4)=(+1)
and
m1≠m2
So both the lines are neither parallel nor perpendicular to each other.
Option 3 is the right answer.
find the value of 9w - 10 given that -5w-8=7.
simplify your answer as much as possible.
Answer:
w= -3, therefore the value of 9w-10= -37
Step-by-step explanation:
i hope this helps :)
If cose
=-2/3
-, which of the following are possible for the same value of e?
Answer:
B?
Step-by-step explanation:
what is the derivative of 4x+ k
Answer:
[tex]\displaystyle \frac{dy}{dx} = 4[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
*Note:
Treat k as an arbitrary constant.
Step 1: Define
Identify
[tex]\displaystyle y = 4x + k[/tex]
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: [tex]\displaystyle y' = \frac{d}{dx}[4x] + \frac{d}{dx}[k][/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle y' = 4 \frac{d}{dx}[x] + \frac{d}{dx}[k][/tex]Basic Power Rule: [tex]\displaystyle y' = 4[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Students from Shelton Middle are going on a field trip to an amusement park. Those students who have annual passes will pay $10. Other students will pay $35. The school collected $1,375 for 50 students. Which system of linear equations models this situation?
a) 10x + 35y = 50
x + y = 1,375
b) 10x + 35y = 1,375
x + y =50
c) 10x + y = 50
35x + y = 1,375
d) 10x + y = 1,375
x + 35y = 50
Answer:
c
Step-by-step explanation:
A principal wants to find out if her school needs more bike racks. A survey is taken of 30 students who ride the bus. Why might the sample be biased? Describe in words how a sample could have been done that is more representative of the entire school.
Answer:
The students who ride the bus most likely won't use the bike racks so it doesn't impact them and they probably don't know if they need more bike racks.
Step-by-step explanation:
How long will it take to accumulate $1200
in an account, if you begin with $1000 and
the account pays 6% compounded
monthly?
Answer:
it will take 4 months
Step-by-step explanation:
Four DVDs cost $84. If each DVD costs the same, how much does one DVD cost
the answers are these:
$16
$21
$26
$18
Answer:
one dvd costs $21
What is the surface area of a dome (a half sphere) with a radius of 6 meters?
72 pi meters squared
48 pi meters squared
24 pi meters squared
144 pi meters squared
Answer: 72π meters squared.
Step-by-step explanation: Given that the radius is 6 meters, use the sphere surface area formula to find the surface area of the half-sphere;
Replace the value in the formula: A=4πr² → A=4π6²Solve the exponent first: A=4π6² → A=4π36The order of the multiples does not affect the total, so we can multiply 4 times 36 first: A=4π36 → A=144π144π is the surface area of the whole sphere, so half the sphere will be 72π. In conclusion, the surface area of the dome will be 72π meters squared.The cost to rent a moving van is $8.85 plus an additiona $20.40 per hour. If a moving van is rented for 2 hours, what is the cost?
Answer:
49.65$
Step-by-step explanation:
(20.40 x 2) + 8.85 = 49.65 $
468 raffle tickets for 52
people
What’s the answer ?
Answer:
9
Step-by-step explanation:
you divide 468 by 52
468/52 = 9
9
Step-by-step explanation:
468/52 = 9 tickets per person
CAN SOMEONE PLEASE HELP ME SOLVE THIS!? ASAP PLEASE!!
Find the area of the figure. Round to the nearest hundredth.
Answer:
Step-by-step explanation:
Break down the figure into a circle of diameter 7 and an 11 by 7 rectangle.
Area of circle = π3.5² = 12.25π ≈ 38.48 square meters
Area of rectangle = 11*7 = 77 square meters
Total area = 38.48+77 = 115.48 square meters
What is measure of the missing angle? HELP
Answer:
x = 31
So 2x-7 = 55
x + 4 = 35
Step-by-step explanation:
[tex]2x-7+x+4=90\\3x-3=90\\3x=93\\x=31[/tex]