Answer:
c² = a² + b² - 2ab×cos(C)
c = 7.7
Step-by-step explanation:
we use the enhanced Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
c² = 16² + 10² - 2×16×10×cos(22) = 256 + 100 - 320×cos(22) =
= 356 - 320×0.92718... = 356 - 296.698... ≈ 59.3
c ≈ 7.7
as you can see, the "regular" formula of Pythagoras
c² = a² + b²
is derived from the fact that cos(90)=0.
Justin needs to earn a score of more than 80 on his next math test to earn a B for the semester. Which inequality shows the grades that will allow Justin to earn a B? Please answer!
Answer:
b
Step-by-step explanation:
Justin's score has to be greater than 80. the appropriate inequality sign is >
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
On the number line, since the score has to be greater than 80, the line would start from 80 and end on 95
> or < is represented by unfilled circle
≤ or ≥ is represented by filled circle
Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
y – 7 = 3(x – 1)
y – 1 = 3(x – 7)
y – 7 = 4(x – 1)
y – 1 = 4(x – 7)
The equation that represents the same line containing point (1, 7) is as follows:
y - 7 = 4(x - 1)
Slope intercept form equation:y - y₁ = m(x - x₁)where
m = slope
The graph of the line contains (1, 7) .He represent the line correctly as f(x) = 4x + 3.
The equation that represent the same line is as follows:
Using the model:
y = mx + b
Therefore,
m = 4
Finally , the equation is as follows:
y - 7 = 4(x - 1)learn more on linear equation: https://brainly.com/question/2409163?referrer=searchResults
Which is an equation of the line with
slope that contains the point (6, 4)?
Answer:
y=x-2
Step-by-step explanation:
x=6 and y=4, so simplest equation is y=x-2
You can have infinity lines with the point (6,4). Another example is [tex]y=\frac{1}{2} x+1[/tex]
wats the answer of 1 2/5 ÷14/15
Answer:
2/5 ÷-14/15
2/5×-15/14
-3/7 is ur answer
Answer:
3/2 = 1 1/2 or 1.5
Step-by-step explanation:
1 2/5 ÷ 14/15
= 7/5 ÷ 14/15
= 7/5 × 15/14
= 3/2 = 1 1/2 or 1.5
please answer thissssss
Answer:
A? oof not sure
Step-by-step explanation:
I dont know
Find the measure of each acute angle.
The measure of the top-left angle in the triangle is__º and the measure of the bottom-right angle is__º.
Answer:
the top angle is 48
the bottom right angle is 42
Step-by-step explanation:
The sum of the angles of a triangle is 180
90 + 8x+7x = 180
Combine like terms
90 +15x = 180
Subtract 90 from each side
15x = 180-90
15x = 90
Divide by 15
15x/15 =90/15
x = 6
8x = 8*6 = 48 so the top angle is 48
7x = 7*6 = 42 so the bottom angle is 42
Solution given:
8x°+7x°+90°=180°[sum of interior angle of a triangle is 180°]
15x=180°-90°
x=90/15
x=6°
8x=8*6=48°
7x=7*6=42°
En una fábrica, tres de cada veinte jarrones salen con algún defecto. Si se hacen 1000 jarrones, ¿Cuántos saldran defectuosos?
Answer:
si se hacen 1000 jarrones, 150 saldrán defectuosos.
Step-by-step explanation:
En primer lugar es conveniente determinar el porcentaje de jarrones que salen con algún defecto.
Si 20 corresponde a la cantidad total de jarrones, entonces, se divide 3 sobre 20 para encontrar el porcentaje al que 3 jarrones defectuosos corresponde. La división da como resultado 0,15. Para transformar el valor encontrado en porcentaje, es necesario multiplicar por 100. Entonces, 3 jarrones defectuosos corresponden a 15% de jarrones en total.
Si se hacen 1000 jarrones, es necesario multiplicar por dicho número. Esto es: 15%*1000, obteniendo como resultado 150.
Entonces, si se hacen 1000 jarrones, 150 saldrán defectuosos.
Help me down below
PLEASE
Answer:
there is one more zero
Step-by-step explanation:
now it's 8 million rather than 800 thousand.
What is Evaluate 3(4 - 2)2
Minke earned $100 working for h hours in a resuarant. He earns $10 an hour, and recieved $30 in tips. Write an equation using this information.
Answer:
10h + 30 = 100
Step-by-step explanation:
10h + 30 = 100
Answer:
140$
Step-by-step explanation:
So Mike earned 100$ right. So he earns 10$. And got 30$ by Tips The answer is 140$ I hope it helps :)
Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she scored 58 points, then she scores 63 and 68 on her next two assessments. If her scores continued to increase at the same rate, on which assessments will she be scoring above 85? Select all that apply.
Answer:
7th
Step-by-step explanation:
63 - 58 = 5
68-63 = 5
She is adding 5 points each time
a1 = 58
d = 5
a2 = 63
a3 = 68
a4 = 58+5 = 73
a5 = 73+5 = 78
a6 = 78+5 = 83
a7 = 83+5 = 88
This is the first assessment greater then 85, so the 7th assessment
Non linear and linear functions
Answer:
Linear
r=10q+3
r=4q-5
Rest are non linear
Step-by-step explanation:
If the variable has an exponent, its not linear
A pool has two inlet pumps A and B. If pump A alone is open, it takes 12 hours to fill the pool with water. If pump B alone is open, it takes 18 hours to fill the pool with water. If the pool needs to be filled in 10 hours, what is the least amount of time (in hours) both pumps need to be open?
Answer:
The least amount of time (in hours) both pumps need to be open is 3 hours.
Step-by-step explanation:
According to the Question,
Given That, A pool has two inlet pumps A and B. If pump A alone is open, it takes 12 hours to fill the pool with water. If pump B alone is open, it takes 18 hours to fill the pool with water.Let the Capacity of the Pool is 36Litre.
Thus, If pump A alone is open, it takes 12 hours to fill the pool with water. thus the Efficiency of Pipe A is 3 ltr/hour.And, If pump B alone is open, it takes 18 hours to fill the pool with water. thus the Efficiency of Pipe B is 2 ltr/hour.If the pool needs to be filled in 10 hours the least amount of time (in hours) both pumps need to be open is 3 hours.
Note:- if 3 hour both pipe open so 3 x (5) = 15 ltr Pool is Filled.
Now For Remaining 7 hour Pipe A with Efficiency 3 ltr/hour is open alone to fill the pool Remaining 7 x 3 = 21 ltr . Total 21+15 = 36ltr .
17/18 dived by 2/4 as a reduced fraction
Answer:
1 8/9
Step-by-step explanation:
Hope you enjoy :)
Find the average of 40.6, 10, 0.7, and 120.02
Answer:
42.83
Step-by-step explanation:
add all the numbers and divide by how many their are
is math an easy subject
Answer:
for some people but not all people
Step-by-step explanation:
help pls no brainlist if not
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or a reduced fraction.
NEEED HEELP
WILL GIVE BRAINEST
Answer:
3 3/7 hours
Step-by-step explanation:
The formula is
1/a+1/b = 1/c
where a and b are the times working alone and c is the time working together
1/8 + 1/6 = 1/c
Multiply each side by 24c to clear the fractions
24c(1/8 + 1/6) = 1/c *24c
3c + 4c = 24
7c = 24
Divide by 7
7c/7 = 24/7
c = 3 3/7 hours
PLEASE HELP MEEEEEEEEEEEEE
Answer: 20 ft
Step-by-step explanation:
The mirror is set away from the flagpole on the same scale set away from her.
The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.
This means her size x4 is the size for the flag pole. This checks out because 12x4=48
So to find the height we must do 5x4
5x4=20
pls help ill give brainleiesr
Answer:
<1 and <3 are vertical angles
Step-by-step explanation:
Vertical angles are formed from the same lines are share a vertex. They are opposite from each other
<1 and <3 are vertical angles
<2 and <4 are vertical angles
Answer:
[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]
Vertical angles are formed from the same lines are share a vertex. They are opposite from each other
● <1 and <3 are vertical angles● <2 and <4 are vertical anglesif y varies directly with an x and y=12 when x=-1, find y if x=2
Answer:
y = -24
Step-by-step explanation:
Direct variation is
y = kx where k is a constant
12 = k*(-1)
12/(-1) =k
-12 = k
The equation is y = -12x
Let x = 2
y = -12(2)
y = -24
fine measure of each angle indicated
HELP THIS GURL OUT WOULD YA? PLEASE
Find the value of X:
Answer:
Step-by-step explanation:
If AS is an angle bisector, then angle XAS is congruent to angle PAS; mathematically, that looks like this:
3x + 15 = 2x + 30 and x = 15.
3(15) + 15 = angle XAP, which is 120.
Because angle XAS is congruent to angle PAS, then the sides across from those congruent angles also should be congruent. Let's check it, just to make sure:
XS = PS --> 2(15) + 9 = 39 and 4(15) - 21 = 39. So that checks out. Because AS is congruent to itself by the reflexive property, then what this means is that triangle XAS is congruent to triangle PAS, making angle x and P the same measure. Looking at the whole big triangle, triangle XAP, if angle XAP measures 120, then angle X = angle P = (180 - 120) / 2, so angle X = 30.
Solve the system of equations. Simplify your answer. Write the solution as an
ordered pair. *
2p+59 = 1
5p + 139 = 2
Answer:
(-29,-27.4)
Step-by-step explanation:
2p+59=1
-59 -59
2p=-58
/2 /2
p=-29
5p+139=2
-139 -139
5p=-137
/5 /5
p=-27.4
Alejandra correctly wrote the equation y-3=1/5 (x-10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
y-3=2(x-10)
Step-by-step explanation:
y-3=2(x-10)
What are the coefficients in the problem 7a + 5b =c
a and b
5 and c
a,b,and c
7 and 5
Answer:
7 and 5
Step-by-step explanation:
they have variables with them
Answer:
D
Step-by-step explanation:
Twelve apples were cut in thirds. How many pieces of apples are there now?
Answer:
36
Step-by-step explanation:
12*3=36
Help. Direct answers pls
Answer:
a₄ = 256
Step-by-step explanation:
Using the given definition , then
a₂ = a₁² = 2² = 4
a₃ = a₂² = 4² = 16
a₄ = a₃² = 16² = 256
Answer:
256
Step-by-step explanation:
a₁ = 2
a₂ = (a₁)² = 2 ² = 4
a₃ = (a₂)² = 4² = 16
a₄ = (a₃)² = 16² = 256
Interpret the numbers and variables in the following questions.
9.
A colony of bacteria doubles in number every hour. The expression 250.2 gives the numb
bacteria after h hours. What does tthe constant 250 in the expression represent?
he constant 250 in the expression represent?
Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
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