In
Δ
ABC, BC = a = 16, AC = b = 10, and m
∠
C
= 22°. Which equation can you use to find the value of c = AB?
Answers
Answer:
7.7
Step-by-step explanation:
use law of cosines
c² = a² + b² - 2ab * cosC
c² = 16² + 10² - 2(16)(10)cos22
c² = 256 + 100 - 320 * 0.927183854566787
c² = 59.3011665386
c ≈ 7.7
Answer:
You can use the Law of Cosines to solve for c:
c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°.
Step-by-step explanation:
plato!!
Related Questions
At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
Answers
Answer:
8d + 6b = 55
2d + 9b = 32.50
Step-by-step explanation:
let 'd' = # dog bowls
let 'b' + # bones
Rhonda: 8d + 6b = 55
Kelly: 2d + 9b = 32.50
we can multiply Kelly's equation by -4 to eliminate the 'd' terms:
Kelly: -4(2d + 9b) = 32.5(-4)
-8d - 36b = -130
now add the above equation to Rhonda's equation:
-8d - 36b = -130
+ 8d + 6b = 55
-30b = -75
b = 2.50
now we can use either equation and substitute 2.5 for 'b' to find 'd'
2d + 9(2.5) = 32.5
2d + 22.5 = 32.5
2d = 10
d = 5
Use the replacement set {3, 4, 9} to find the solution of the equation below.
3n−18=9
Answers
Answer:
[tex]n=9[/tex]
Step-by-step explanation:
[tex]3n-18=9[/tex]
[tex]3n+18=[/tex] +18
[tex]3n=27[/tex]
[tex]3(9)=27[/tex]
[tex]n=9[/tex]
Answer the question pleaseeeee
Answers
what is
0.05
+0.82
——————-
Answers
Answer:
0.87
Step-by-step explanation:
Answer:
0.87
Step-by-step explanation:
0.05
+0.82
—0—.8—7———-
just add like regularly but i think you have to line up the decimals
Please answer properly.
Answers
Answer:
Step-by-step explanation:
$15 is a constant value while $5 change depending by the hours.
We can write this expression to find the total cost:
5r + 15
part b
1) substitute r with 3
5 * 3 + 15
2) solve the expression
15 + 15 = $30
Which is the graph of g(x) = 2x – 1 + 3?
Answers
Answer:
Your question is not very clear, hope I get what you want
Step-by-step explanation:
2x-1+3
=2x+2
=2(x+1)
Answer:The graph in the attached figureStep-by-step explanation:we have[tex]g(x)=2^{x-1}+3[/ tex
Find the surface area
Answers
Step-by-step explanation:
so for this one u do
[tex]15 \times 9 + 9 \times 4 + 15 \times 4[/tex]
231 the times it by 2 for the both sides
231×2=462 cm2
hope this make sense :)
Select the number line model that matches the expression
|8 - 1|
Answers
Answer:
B
Step-by-step explanation:
Trust
When they arrived at the museum,Tyler's dad went to the ticket counter. For each of the 5 members of the family ,he purchased a general admission ticket for $8.75 and a ticket to see a special exhibit . He paid a total of $70?. How much did each of the ticket to the special exhibit cost
Answers
Answer:
5.25
Step-by-step explanation:
Jade says that the absolute value of a number and the opposite of a number is the same thing. Is Jade correct? Use examples to help you explain.
Answers
Answer:
No, the absolute value of a number is different from the opposite.
Step-by-step explanation:
For example, the absolute value of 4 is 4.
l4l = 4
But the opposite of 4 is -4.
Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.
NECESITO AYUDA URGENTE...
1- Ordena en forma descendente el siguiente polinomio con respecto a la
variable n. Luego identifica el término independiente:
6n 3 + 7n 4 -2n 2 -5 + 9n 5
2- Completa el polinomio para que cada término tenga el mismo grado
absoluto:
5x 4 y 3 – 3x 6 ___ + 5x 2 4__ + 7___ y 2 + 8y 7 - 6
3- Observa el siguiente polinomio e identifica cuáles son los términos
semejantes:
-8 + 3m 3 n – 4m 2 n + 7mn 2 -11nm 3 + 5 + 6m 2 n
4- Evalúa la veracidad de cada afirmación de la siguiente afirmación:
El grado absoluto de un polinomio no puede ser 1: ___________
5- El grado absoluto de un polinomio se obtiene sumando los grados relativos
de las variables: _________
_
6- El grado absoluto de un binomio puede ser cero: _________
_
7- Si el grado relativo de una variable es tres, entonces, el grado absoluto es
un número mayor que tres: __________
8- Si el grado absoluto de un término es uno. Entonces, el polinomio tiene una
sola variable: ___________
9- Completa el polinomio, luego ordénalo en forma descendente:
15x 4 + 5x 6 + 3x 3 + 2x 2 + 8 + +
10- Cuál es el valor numérico del siguiente polinomio cuando la x = -2 ; y= -3
: 3x 2 y – 5xy 2 + x -3y + 2
Answers
Answer:
Step-by-step explanation:
1- Order in descending order the following polynomial with respect to the
variable n. Then identify the independent term:
[tex]6n^3 + 7n^4 - 2n^2 - 5 + 9n^5[/tex]
The independent term is - 5.
3- Look at the following polynomial and identify what the terms are
similar:
[tex]- 8 + 3m^3 n - 4m^2n + 7mn^2 - 11nm^3 + 6 m^2 n[/tex]
The similar terms are + 3m^3 n and - 11 nm^3 and
- 4 m^2 n and 6 m^2 n
Karl is purchasing a $205,000 home with a 30-year mortgage at 5.5%. Because he is not making a down payment, PMI in the amount of $97.50/month is required for the first 2 years of the loan. Based on this information, what is the total cost of this loan? A. $421,369.20 B. $444,923.03 C. $423,042.96 D.$452,092.10
Answers
The total loan payment is $1,024,050.
What is Mortgage Loan?Another name for mortgage loans is "loans against property." A mortgage loan can be used to refinance real estate or to buy, build, or remodel a home. Getting a new loan for a piece of property while the old one is still being paid off is referred to as refinancing. Typically, it is done to obtain a loan with better terms.
We have,
The 30-year mortgage loan of $205,000 at 5.5% interest rate
We know, the total cost of this loan can be calculated as
L=LM+PMI
So, LM=$205,000 x (1+0.055[tex])^{30[/tex]
LM=$205,000 x 4.984
LM = $1,021,710
Now, the PMI over 24 months
= $97.5 x 24
= $2,340
So, the total loan payment is:
= $1,021,710 + $2,340
= $1,024,050
Learn more about mortgage loan here:
https://brainly.com/question/29538161
#SPJ5
13 14 14 17 18 20 20 what's the mode?
Answers
Answer:
mode is 14,20
if you dont know mode is the frequency of the numbers
Step-by-step explanation:
Answer:
14 & 20
Step-by-step explanation:
the number that appears the most
Which one of the following is a correct equation?
Answers
Answer:
B. cos 41° = [tex]\frac{x}{19}[/tex]
Step-by-step explanation:
cos of an angle is the adjacent side of the angle over the hypotenuse.
Answer:
Answer is a
[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}} \\ { \tt{ \cos(41 \degree) = \frac{x}{19} }} \\ \\ { \boxed{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ { \tt{ \sin(41 \degree) = \frac{ - }{19} }}[/tex]
factoring polynominaly
Answers
Answer:
Most of the question is missing. If you could type out the rest, we might be able to help you.
Triangle PQR is similar to triangle XYZ. The length of PQ is one-half the length of XY. THe length of RP is 2 cm. Which proportion can be used to find the length of ZX?
Answers
Answer:
[tex]ZX = 4cm[/tex]
Step-by-step explanation:
Given
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
Required
Find ZX
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar
[tex]PQ \to XY[/tex]
[tex]QR \to YZ[/tex]
[tex]RP \to ZX[/tex]
To find ZX, we make use of the following equivalent ratio
[tex]PQ : XY = RP : ZX[/tex]
Where
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
So, we have:
[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]
Express as fraction
[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]
[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]
Make ZX the subject
[tex]ZX = 2 * 2cm[/tex]
[tex]ZX = 4cm[/tex]
the expression (x^2-1)^-2/3 is equivalent to
Answers
Answer:it’s x
Step-by-step explanation:
Sry if I’m wrong
roatate triangle p 90* clockwise about the point (2,-1)
Answers
Answer:
hope this helps
Step-by-step explanation:
Please help test tomorrow everything you need is in the photo below
Answers
Answer:
yes
Step-by-step explanation:
what does Δy and Δx stand for
Answers
Δy just means triangle y and Δx means triangle x.
2 m − 3 ≤ 5 m + 15 solve this equation
Answers
Answer:
m≥ -6Step-by-step explanation:
Answer:
m ≥-6
Step-by-step explanation:
that is the procedure
What is 1/6
as a decimal?
Give your answer rounded to 3 decimal places.
Answers
0.167 I believe!
<3
I'm sure you'll do great!
Answer:
0.167(rounded 3dp)
Step-by-step explanation:
100/6=16.6666...
[tex]\frac{16.666}{100}[/tex]= [tex]\frac{1}{6}[/tex]
[tex]\frac{16.666}{100}=(into decimal)0.167[/tex]
a bucket contains 3 1/2 gallon of water. If Marie adds 5 gallons more, how many gallons of water will there be in all?
Answers
Answer:
8 1/2
because 3 + 5= 8+ 1/2= 8 1/2
Solve 3n – 5p + 2n = 10p for n.
Answers
Answer:
n = 3p
Step-by-step explanation:
3n−5p+2n=10p
5n−5p+5p=10p+5p
5n=15p
5n/5 = 15p/5
n = 3p
Answer:
3n+2n=10p+5p
5n=15p
Divide both sides by 5
n=3p
Does anyone know the answer to this?
Answers
Answer:
3
Step-by-step explanation:
Answer:
The answer is number 2
Step-by-step explanation:
Since the price of a quarter is 25 cents we put the .25 it next to the Q and since dimes are worth 10 cents we put the .10 next to the D. D + Q should equal 30 since that is the total number of coins and the other should equal 4.80
write the set of natural numbers that is less than or equal to 6 in both the notations
Answers
Answer:
Step-by-step explanation:
Builder :
X = { x ∈ N : x ≤ 6}
Roster :
X = { 1, 2 , 3 , 4 , 5 , 6}
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary): 261. 256, 251.... Find the 50th term.
Answers
Answer:
50th term = 16
Step-by-step explanation:
f(x) = x +1 g(x) = x^2 - 3
find f 3
find gf3
Answers
1. Solve for f(3)
Let f(x) = f(3).
Substitute 3 for x
f(3) = 3 + 1
= 4
Therefore f(3) = 4
Solve for gf(3)
Substitute f(3) into g(x).
f(3) = 4
gf(3) = 4² − 3
= 13
Therefore gf(3) = 13
Type in the value of y.
If x = 7, then y =
Answers
Explanation:
The rule says "whatever x is, add 1 to it to get y"
So for instance, if x = 3, then y = x+1 = 3+1 = 4
Now if x = 7, then y = x+1 = 7+1 = 8
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given that,
[tex]1 + 1 = 2 \\ 2 + 1 = 3 \\ 3 + 1 = 4 \\ 4 + 1 = 5...[/tex]
So from this we can infer that, [tex]\large\bold{ x + 1 = y}[/tex]
Now,
[tex]x = 7 \\ y= \: ?[/tex]
Use the rule ⎆ [tex]\large\bold{ x + 1 = y}[/tex]
[tex]x + 1 = y \\ 7 + 1 = y \\ 8 = y[/tex]
✐ The value of y is 8.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
A woman is trying to remove holiday decorations from the roof of her house by climbing a ladder. The height of her house is 24 feet, and the distance she has to travel on the ladder is 30 ft. How far away is the ladder from the house?
Answers
Answer:
18 ft
Step-by-step explanation:
We are to determine the base given the hypotenuse and length.
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
30² = 24² + b²
900 = 576 + b²
b² = 900 - 576
b² = 324
square root = 18
