Answer:
BC = 50
Step-by-step explanation:
Law of Cosines:
c^2 = a^2 + b^2 - 2ab*cosy (c is BC)
c^2 = 30^2 + 21^2 - 2(30)(21)cos123
c^2 = 900 + 441 - 1260*(-0.888)
c^2 = 1341 - (-1118.841)
c^2 = 2459.841
c = 49.597
c = 50
PLLLS helpppp mee this is due now T-T
Answer:
Step-by-step explanation:
Answer:
= 2 and 5
Step-by-step explanation:
( 4 - 7x ) + ( 2x - 2 ) = 0
4 - 7x = 2x - 2 = 0
-7x -2x - 2 + 4 = 0
-5x - 2 = 0
-5 x = 0 or -2 = 0
x = 5 x = 2
Help pls this is timed!!!!!!! Pls and thank you ;P
Who supported the formation of Washington Territory out of a belief that it was America’s destiny to settle the Pacific Northwest?
A.)President Millard Fillmore
B.)Governor Isaac Stevens
C.)Oregon Territory’s northern settlers
D.)Oregon Territory’s southern settlers
Answer:
A. President Millard Fillmore
ratio of width to length is 2:3 if the length 18 meters what is the width
Answer:
12
Step-by-step explanation: 18/3=6 6(2)= 12
find the common difference of the arithmetic sequence -2,-4,-6
Answer:
-2
Step-by-step explanation:
-4-(-2) = -2
-6-(-4) = -2
PLS HELP
PLSSSSSSSSSSS
Answer:
y=-15
.2020202020charactersneeded
Your teacher is giving you a test that has 30 questions and is worth 200 points. Some questions are worth 5 points and some are worth 10 points. How many of each question are on the test?
Answer:
20 5-point questions and 10 10-point questions
Step-by-step explanation:
Explain how to isolate the variable in the equation−2/3+7=15. solve for n
Answer:
n = - 0.0833
Step-by-step explanation:
Given expression
[tex]\frac{-2}{3n } +7 = 15[/tex]
Cross multiplication , we get
[tex]\frac{-2}{3n } = 15 -7[/tex]
[tex]-2 = 8 X 3 n[/tex]
⇒ [tex]\frac{-2}{24} = n[/tex]
n = - 0.0833
5x−4y=34
−x+8y=22
elimination
Answer:
The solution to the system of equations is:
[tex]x=10,\:y=4[/tex]
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}[/tex]
Multiply -x+8y=22 by 5: -5x+40y=110
[tex]\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}[/tex]
so adding the equations
[tex]-5x+40y=110[/tex]
[tex]+[/tex]
[tex]\underline{5x-4y=34}[/tex]
[tex]36y=144[/tex]
solve 36y = 144 for y:
[tex]36y=144[/tex]
divide both sides by 36
[tex]\frac{36y}{36}=\frac{144}{36}[/tex]
Simplify
[tex]y=4[/tex]
For 5x-4y=34 plug in y=4
[tex]5x-4\cdot \:4=34[/tex]
[tex]5x-16=34[/tex]
Add 16 to both sides
[tex]5x-16+16=34+16[/tex]
Simplify
[tex]5x=50[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{50}{5}[/tex]
Simplify
[tex]x=10[/tex]
Therefore, the solution to the system of equations is:
[tex]x=10,\:y=4[/tex]
What is the solution to the equation? 13 3/4+X= 7 1/ 4
Answer: x=-6 1/4
Step-by-step explanation:
If x : 3 = 5 : 7 , then x = ………
Answer:
the answer is A which 2(1/7)
Unit 8 homework 2 special right triangles
Plz help me I will give you brainliest and 10 points
Answer:
0.08522
Step-by-step explanation:
4 to 7 equals 21 to what
Answer:
Step-by-step explanation:
I dunno wether addition or multiplication, if it's multiplication, it would be 36.75 if it's addition, then it's 24
Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form
Answer:
y = 3x -2
Step-by-step explanation:
The general equation form is;
y = mx + b
where m is the slope and b is the y-intercept
For the equation given;
y = 3x -5
the slope from here is 3
If two lines are parallel, they have equal slopes
This mean that the slope of the line we want to calculate too is 3
Now we can use the point slope format to get the correct equation
y-y1 = m(x-x1)
y+ 5. = 3(x+ 1)
y = 3x + 3 -5
y = 3x -2
The functions g and h are such that g(x)=2x+5 and h(x)=ax+b
the answer is : a=9 and b=-1
*PLEASE HELP ME ASAP* Sydnis room is 32 ft by 40 ft. She needs to make a scale drawing of her room that is 8 in. by 10 inc. What is the scale she needs to use?
1 inch = 8ft
1 inch = 4 ft
1 inch = 2 ft
1 inch = 1 ft
Pls help answer asap
Answer:
x = 3
Step-by-step explanation:
3 ( x + 3 ) = 18
( 3 ) ( x ) + ( 3 ) ( 3 ) = 18
3x + 9 = 18
3x + 9 − 9 = 18 − 9
3x = 9
3x/3 = 9/3
x=3
I hope this helps you :D
Olivia has a points card for a movie theater. She receives 80 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 105 points for a free movie ticket. Write and solve an inequality which can be used to determine xx, the number of visits Olivia can make to earn her first free movie ticket.
Answer:
10 visits
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Rewards for signing up = 80 points
Reward per visit = 2.5 points
Total points needed = 105
Let, number of visits = x
So, we can calculate number of visits by using following formula,
80 + (2.5 × X) = 105
2.5X = 105 - 80
2.5X = 25
X = 25 ÷ 2.5
X = 10 visits.
Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.
When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!!
False
True
1.How do you know you have a direct variation in the
relationship between two quantities?
Answer:
Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.
Step-by-step explanation:
Evaluate the expression 42 + 5/9y
The diagram shows a square with a perimeter of 20 cm.
Not drawn
accurately
Eight of these squares fit together to make a rectangle.
Not drawnaccurately
What is the perimeter of the rectangle?
The perimeter of the rectangle is 70cm.
What is perimeter?Perimeter is the total length of the sides of a two-dimensional shape.
What is the formula for the perimeter of square?Perimeter of the square is given by
P = 4a
where,
a is the side length of the square.
P is the perimeter of the square.
What is the formula for the perimeter for the rectangle?Perimeter of the rectangle is given by
P = 2( l + b)
Where,
l is the of the rectangle
b is the breadth of the the rectangle
According to the given question.
We have the perimeter of the square is 20cm.
⇒ 4a = 20
⇒ a = 5cm
⇒ Each side length of the square is 5cm
And a rectangle made of 10 squares.
⇒ length of the rectangle = 5×5 = 25cm
and the breadth of the rectangle = 2 × 5 = 10cm
Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm
Hence, the perimeter of the rectangle is 70cm.
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cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))
Answer:
Answer below
Step-by-step explanation:
I really hope it works
Which postulate proves that the triangles below are similar?
SSS
AA
SAS
These triangles are not similar
Answer:
AA~
Step-by-step explanation:
These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.
The two triangles are similar triangles using AA postulate.
What are Similar Figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.
Hence, the two triangles are similar triangles using AA postulate.
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PLS MATH QUIZZ
Jeremiah invested $70,000 in an account paying an interest rate of 6.8% compounded daily.Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $99,000?
Answer:
t≈
5.1
Step-by-step explanation:
A=99000 P=70000 r=0.068 n=365
Given values
99000
70000
(
1
+
0.068
365
)
365
t
70000(1+
365
0.068
)
365t
Plug in values
99000
=
99000=
70000
(
1.0001863
)
365
t
70000(1.0001863)
365t
Simplify
99000
70000
=
70000
99000
=
70000
(
1.0001863
)
365
t
70000
70000
70000(1.0001863)
365t
Divide by 70000
1.4142857
=
1.4142857=
1.000186
3
365
t
1.0001863
365t
log
(
1.4142857
)
=
log(1.4142857)=
log
(
1.000186
3
365
t
)
log(1.0001863
365t
)
Take the log of both sides
log
(
1.4142857
)
=
log(1.4142857)=
365
t
log
(
1.0001863
)
365tlog(1.0001863)
Bring exponent to the front
log
(
1.4142857
)
log
(
1.0001863
)
=
log(1.0001863)
log(1.4142857)
=
365
t
log
(
1.0001863
)
log
(
1.0001863
)
log(1.0001863)
365tlog(1.0001863)
Divide both sides by log(1.0001863)
1860.731865
=
1860.731865=
365
t
365t
Use calculator
1860.731865
365
=
365
1860.731865
=
365
t
365
365
365t
Divide by 365
5.0978955
=
5.0978955
It would take 5 year for the value of the account to reach $99,000.
What is Future Value?The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.
Given:
P = $70000
R= 6.8%
SV = $99000
For Compounded Daily
A = P [tex](1+ (R/100)/ 365) ^{365n[/tex]
99000 = 70000 [tex](1+ (0.068/100)/ 365) ^{365n[/tex]
[tex](1+ (0.068/100)/ 365) ^{365n[/tex] = 1.414
[tex](1. 00019)^{365n[/tex] = 1.414
[tex]1.072^n[/tex] = 1.414
and, n=5 years
Hence, it would take 5 year for the value of the account to reach $99,000.
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In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.
Answer:
1374
Step-by-step explanation:
delta math
The length of the side k in the given triangle is 1,373.9 cm.
What is cosine law?The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.
Given that, in ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°, we need to find the length of side k,
Using the cosine law,
k² = l²+m² - lmCos169°
= 820²+560²-(820)(560)cos169°
= 1,373.9
Hence, the length of the side k in the given triangle is 1,373.9 cm.
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38 < 4x - 10
help me out plz n ty
Answer:
Step-by-step explanation:
Bringing like terms on one side
38 + 10 < 4x
48 < 4x
48/4 < x
12 < x
select all relations that are functions from the choices below.
Use complete sentences to describe why postulates are helpful.
Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!
Answer:
Train A is 287 tons
Train B is 94 tons
Step-by-step explanation:
My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.