Answer:
A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]
In triangle XYZ, we can find XZ using cosine rule:
[tex]XZ^2=XY^2+YZ^2-2(XY)(YZ)cosY\\\\subtituting:\\\\XZ^2=15^2+8^2-2(15)(8)cos(52)\\\\XZ^2=141.24\\\\XZ=11.88\\\\Using\ sine\ rule:\\\\\frac{XZ}{sin(Y)}=\frac{XY}{sin(Z)}\\\\\frac{11.88}{sin(52)}=\frac{15}{sin(Z)}\\\\sin(Z)=15*sin(52) /11.88\\\\sin(Z)=0.9946\\\\Z=sin^{-1}(0.9946)\\\\Z=85^0[/tex]
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
∠X + 52 + 85 = 180
∠X + 137 = 180
∠X = 43°
∠X = 3w - 35
3w - 35 = 43
3w = 78
w = 26
In triangle RST, using sine rule:
∠R = w + 17
∠R = 26 + 17
∠R = 43°
∠R + ∠S + ∠T = 180° (sum of angles in a triangle)
43 + 52 + ∠T = 180
∠T + 95 = 180
∠T = 85°
In the diagram,m<1= (4x+10) and m<2=(c+20) the value of x is
Answer:
30
bcz
1+2=150(st. line)
4x+10+x+20=180
5x=150
x=30
plz make me brainliest
Which exponential function is represented by the values in the table?
Answer:
[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]
Step-by-step explanation:
Exponential Function
The exponential function can be written with the general equation:
[tex]f(x)=A\cdot r^x[/tex]
Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.
The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.
Substituting in the third function:
[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]
[tex]\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0[/tex]
[tex]f(0) = 4[/tex]
This gives the correct value of f(0)=4.
Substituting in the fourth function:
[tex]\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x[/tex]
[tex]\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0[/tex]
[tex]f(0) = \frac{1}{2}[/tex]
This choice is wrong
Correct choice:
[tex]\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}[/tex]
Plzzzzzxxzxz hellppppp meeeeeee
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
(1/8)^2 is actually just (1/8)*(1/8)
We multiple the numerators, 1*1, to get 1,
And the denominators, 8*8, to get 64
So the anwser is (1/64)
Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. Is Charles’s reasoning correct? Explain why or why not.
Answer:
Charles's reasoning is wrong.
Step-by-step explanation:
Lupita has 7 pounds for 16.8 and Charles has 5 pounds for 16.8.
Let's set up ratios.
So Lupita got the best deal, not Charles. Poor him.
PLEASE ASAP! Answer the questions to compare the mean number of deliveries for the three companies.
1. How many drivers did company C use in its sample?
2. What is the MAD for company C's data? Show your work.
3. Which company had the greatest mean number of deliveries?
4. Compare the means for companies A and B. By how many times the MAD do their
means differ? Show your work.
Answer:
1 is 20 or 10 2 is 2 3 is b 4 is 2
Step-by-step explanation:
Answer:
1 is 20 or 10 2 is 2 3 is b 4 is 2
Step-by-step explanation:
Which of the following shows 2x3y − 3x2 + 7y2x − 12y written in standard form?
a 2x3y + 7y2x − 3x2 − 12y
b −12y + 7y2x − 3x2 + 2x3y
c 7y2x − 12y + 2x3y − 3x2
d −12y − 3x2 + 7y2x + 2x3y
Answer:
a) 2x³y + 7y²x − 3x² − 12y is the right answer.Step-by-step explanation:
Which of the following shows 2x³y − 3x² + 7y²x − 12y written in standard form?
a) 2x³y + 7y²x − 3x² − 12y✓b) −12y + 7y²x − 3x² + 2x³y
c) 7y²x − 12y + 2x³y − 3x²
d) −12y − 3x² + 7y²x + 2x³y
Answer:
2x^3 y + 7y^2 x − 3x^2 − 12y
Step-by-step explanation:
(Just took test)
In order for it to be in standard form in needs to be in the proper order. So just rearrange the numbers to the correct spots to get your answer.
What is a inelastic collision
IF YOU WANT BRAINLIEST DESCRIBE IT IN YOUR OWN WORD PLS
Answer:
Kindly check explanation
Step-by-step explanation:
Think of inelastic Collison as a phenomenon whereby the colluding bodies do not rebound. That is the direction of motion of the two bodies after collision is in a single direction, moving with a single final velocity as opposed to bodies moving in different directions with differing final velocities after collision during an elastic collision. Therefore, the final kinetic energy during an inelastic Collison isn't conserved.
Mathematically,
Inelastic Collison can be written has :
m1u1 + m2u2 = v(m1 + m2)
Whereby ;
m1, m2 are masses of the first and second colliding objects
u1 and u2 are their initial velocities
Note that, we only have a single final velocity, v, which shows that the colliding objects move in the same direction after collision.
Sara and Fiona have played 53 tennis matches.
Sara has won 29 times.
Fiona won the rest.
a) Estimate the probability that Sara wins.
b) Estimate the probability that Fiona wins.
Answer: Sara = 29/53
Fiona = 24/53
Step-by-step explanation: because that amount is how much they have won and how much its out of so for example ‘i played 26 games i only won 17 and John won the rest’ the probability that i win is
17/26 and Johns would be 9/26
Typing 731 words in 17 minutes (words per minute)
Can you help me
Have to find x,y and z
Answer:
x=2, y=5
Step-by-step explanation:
the triangle that x is in is a right triangle (don't remember the theorem sorry)
use pythagorean theorem (a^2 + b^2 = c^2)
x is the hypotenuse(c)
1 squared plus /3 squared =c squared
1+3= c squared
4= c squared
c=2
x=2
find y using pythagorean theorem as well
/12 squared plus 2 squared = y squared
y is the hypotenuse
12+4=y squared
16= y squared
4=y
add one to account for that extra little piece
y=5
... I don't see z
Answer:
y= if it is the hypoteneuse for the whole triangle it √16 or 4, if it is the side of the smaller triangle it is 3
x=√4 which is 2
z= I don't think ther's a z
A cup is filled with pencils. The teacher sharpen 1/4 of them. A student sharpen 2/3 of them. The fraction of pencils left to be sharpened is?
Answer:
1/12
Step-by-step explanation:
1/4+2/3=11/12
Factor and solve 2x^2 – 3x – 20 = 0
Answer:
(2x + 5) (x-4)=0
Step-by-step explanation:
To find the quo 2/5 divided 1/4.
Answer:
A. Multiply 2/5 by 4
Step-by-step explanation:
Because when you dividend fraction
1,write the reciprocal of the second fraction number and multiply with the first fraction number
2,multiply the numerators and denominators of both fraction..
the reciprocal of 1/4 is 4/1 =4so the answer is 2/4 by4
Answer:
Step-by-step explanation:
Ghhhhhjhhbhhhhu
Mr. Worthington thinks that 3 + 5 is a binomial. What
would you tell him?
I
Answer:
3 + 5 = 8 which is a monomial
Step-by-step explanation:
a binomial has 2 terms; example, 3y + 5
Plsssssss help meeeeeeeeeeeee I need help
Answer:
honestly I think its QT
Step-by-step explanation:
hope it helps
Y’all, lord have mercy
How am I in highschool, yet I don’t know how to solve this without a calculator
Answer:
4
Step-by-step explanation:
Answer:
Answer of this qn is. 4 hope it help s
Ok so I just got a 210 question test right and I have 1 day to complete it I'm on question 135 and it says 22,000 - 98,000 +23,967 X 456,889=
I don't know the answer plz help me, guys.
Answer:
10950182663
Step-by-step explanation:
Answer:
10950182663
Step-by-step explanation:
You're welcome :)
Find the slope of the line y = 9x - 1/2
Answer:
Step-by-step explanation:
m = 9
Step-by-step explanation:
y = mx + b is our formula
m stands for slope
9 is in place of m in the equation therefore 9 is the slope
Consider Brainliest
Simplify the expression (6 + 2^2) - 4 x 3
Answer:
-2
Step-by-step explanation:
(6 + 2^2) - 4 x 3
6 + 2 * 2 - 4 x 3
6 + 4 - 12
10 - 12
-2
solve for x using the correct order operations
12- (3 times 2)^2 + 4 times 3 = x
A x = -60
B x = -12
C x= 48
D x = 12
please help i will give brainliest :))
Answer:
B: x = -12
Step-by-step explanation:
12 - (3 × 2)^2 + 4 × 3
Use PEMDAS, meaning solve what's in the parentheses first (P stands for parentheses)
12 - (6)^2 + 4 × 3
We get 6 because 3 × 2 = 6
Next step is solve any exponents (E for exponents)
12 - 36 + 4 × 3
We get 36 because 6 × 6 = 36 (the exponent was 2 meaning multiply the same number, 6, twice: 6 × 6)
Now we move on to multiplication and division (M for multiplication and D for division)
These are interchangable in that either can go first depending on its location in the equation
However, since there is no division in this problem we automatically skip to multiplication
12 - 36 + 12
We answered 12 because 4 × 3 = 12
Our last steps in PEMDAS are addition and subtraction (A for addition and S for subtraction)
These are also interchangable, but both are apparent in this problem
Now it depends on location
Whichever sign (addition or subtraction) is first in accordance from left to right is where we start first)
Subtraction is first
-24 + 12
Now we add -24 + 12
-12
PLEASE HELP
Find f(2) if f(x) = (x + 1)2.
a 9
b 6
c 5
Answer:
b
Step-by-step explanation:
x = 2 in this situation, so plug in 2 for x.
f(2) = (x + 1)2
f(2) = (2 + 1)2
f(2) = (3)2
f(2) = 6
f(2) = 6. That means b is the answer.
7x + 2y = 12
-3x -2y = 4
Answer:
(4, -8) or x=4 y=-8
Step-by-step explanation:
Answer: x=4 and y=−8
Step-by-step explanation: 7x+2y=12, −3x−2y=4
7x+2y+−2y=12+−2y
7x /7 = −2y+12 /7
x= −2 /7 y+ 12 /7
−3( −2 /7 y+ 12 /7 )−2y=4
−8 /7 y+ −36 /7 + 36 /7 =4+ 36 /7
−8 /7 y / /−8/7 = 64 /7 /−8 /7
y=−8
x= −2 /7 y+ 12 /7
x= −2 /7 (−8)+ 12 /7
x=4
x=4 and y=−8
Find the perimeter of an isosceles triangle. base edge = 23cm and vertex angle = 42°
100 POINTS. HELP ASAP !!! PLEASE PLEASE
Answer:
task 1 answer is 14
HELP MEHHHH DUE TODAY!!!
1. Explain the difference between using the cosine ratio to solve for a missing angle in a right triangle versus using the secant ratio. You must use complete sentences and any evidence needed (such as an example) to prove your point of view. (10 points)
2. Is a picture
3. is a picture
Answer:
number 1 is 60 number 2 is 9750
Step-by-step explanation:
dont delete
Help please!
And thank u
Answer:
[tex] \frac{a}{7} + \frac{a}{3} = 10 \\ \frac{(3a + 7a)}{21} = 10 \\ \frac{10a}{21} = 10 \\ a = \frac{(10 \times 21)}{10} \\ \boxed{a = 21}[/tex]
a=21 is the right answer.I need help pls I’m taking a test and I don’t know what to do.
a shipwreck lies 125 below sea level
Answer:
-125
Step-by-step explanation:
Graph x < 5 on a number line
----------------5
that's how it should look
Step-by-step explanation:
5 is more than x so x goes behind the 5
Answer/Step-by-step explanation:
X is any variable less than 5
<------------------------------------------------------o
I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Decide which item is the better purchase in the scenario below.
12-oz. bag of chips for $3.40
or
a 3-oz. bag for $0.75
3-oz.bag
12-oz. bag