Answers
Answer:
[tex] x = \sqrt{189} [/tex]
Step-by-step explanation:
Use pythagorean theorem to solve for x.
Thus:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 6
b = x = ?
c = 15
Plug in the values into the equation
[tex] 6^2 + x^2 = 15^2 [/tex]
[tex] 36 + x^2 = 225 [/tex]
Subtract 36 from each side
[tex] x^2 = 225 - 36 [/tex]
[tex] x^2 = 189 [/tex]
Take the square root of both sides
[tex] x = \sqrt{189} [/tex]
Related Questions
Which expression is equivalent to cos(40°)cos(10") + sin(40°)sin(10º)?
O sin(40° – 10°)
O cos(40° + 10º)
O sin(40° + 10º)
O cos(40° – 10º)
Answers
Answer:
The equivalent expression is cos(40° – 10º) ⇒ D
Step-by-step explanation:
The rule of cosine the compound angles is
cos (A + B) = cos A cos B - sin A sin B
cos (A - B) = cos A cos B + sin A sin B
Let us use these rules to solve the question
∵ cos(40°)cos(10°) + sin(40°)sin(10º)
∵ The middle sign is plus
∴ We will use the 2nd rule above
→ Compare the rule by the given expression to find the value of A and B
∵ A = 40° and B = 10°
∴ cos (A - B) = cos (40° - 10°)
∴ cos (40° - 10°) = cos(40°)cos(10°) + sin(40°)sin(10º)
∴ The equivalent expression is cos(40° – 10º)
What inequality is represented by this graph?
Answers
X is anything less than 6
The answer would be x<6
Solve the system by the elimination method. Check your work.
x-3y=0
3y-6=2x
(-2,-6)
(-6,-1/2)
(-6,-2)
Answers
Answer:
C, (-6,-2)
Step-by-step explanation:
x - 3y = 0 --(1)
3y - 6 = 2x --(2)
We can rearrange equations 1 and 2:
3y - x = 0 --(3)
3y - 2x = 6 --(4)
Subtract 4 from 3:
(3y-3y) + (-2x+x) = (6-0)
-x = 6
x = -6
Substitute x=-2 into any equation. In this case, I substituted it into equation 1 but the value of y would be the same if you substituted it into a different equations:
x - 3y = 0
-6 = 3y
y = -2
Let's check to see if we are right but substituting the values of x and y into both equations
x - 3y = 0
-6 + (-3*-2) = 0
-6 + 6 = 0
0 = 0 Correct
3y - 6 = 2x
3(-2) - 6 = 2(-6)
-6 - 6 = -12
-12 = -12 Correct
Our answer is correct!
Diana y Juan están considerando abrir una cafetería. Semanalmente ellos gastarian
$1.348 en costos fijos de utilidades y mantenimiento. Cada almuerzo tiene un costo
de producción de $3.50. por lo que piensan vender cada almuerzo en $8.
a. ¿Cuántos almuerzos deben elaborar semanalmente si desean obtener una
ganancia de $775 para cada uno?
Answers
Answer:
Unidades a vender= 644 unidades
Step-by-step explanation:
Dada la siguiente información:
Costos fijos= $1.348
Costo unitario= $3,5
Precio de venta= $8
Ganancia deseada= 775*2= $1.550
Para calcular el número de unidades a vender, debemos usar la siguiente formula:
Unidades a vender= (costo fijo + ganancia deseada) / contribución marginal unitara
Unidades a vender= (1348 + 1550) / 4,5
Unidades a vender= 644 unidades
How many sixths make a third?
help me out
Answers
1/6 + 1/6 = 1/3
What is the percent of increase from 400,000 to 400,000?
Round your answer to the nearest tenth of a percent and include a percent sign (%).
Answers
Answer:
They are the same number, so there is a 0% increase.
if 8 sugar cost 260 how much sugar can be brought for 877.500
Answers
Answer: 27 kg of sugar can be bought for Rs. 877.50.
Step-by-step explanation:
Answer:
you could buy 28518.75 sugar for 877.500
Step-by-step explanation:
260 / 8 = 32.5
this gives you how much it cost per 1 (units)
32.5 * 877.50 = 28518.75
use the diagram to solve x and y
Answers
Answer:
x = 54°
y = 144°
Step-by-step explanation:
x° + 36° = 90° (complementary angles)
Subtract 36° from each side of the equation
x° = 90 - 36°
x = 54°
y° + 36° = 180° (angles on a straight line/supplementary angles)
Subtract 36° from each side
y° = 180° - 36°
y = 144°
Ariana Grande received $5,000 to perform and made $100 per ticket. If she made $18,500, how many tickets did she sell? (use an equation to solve)
Answers
Answer:
135 tickets
Step-by-step explanation:
18500=5000+100x
13500=100x x=135
Which sequences of transformations applied to shape I prove that shape I is similar to shape II? a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2 a reflection across the x-axis and then across the y-axis, and then a dilation by a scale factor of 2 a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2 a reflection across the y-axis, and then a dilation by a scale factor of 2 a reflection across the x-axis, and then a dilation by a scale factor of 2
Answers
Answer:
The answer is b and c
Step-by-step explanation:
Im on edmentum so i can see this picture
Caroline’s cell phone plan costs $32 per month. Which table shows the sum of the amounts that Caroline will pay for her cell phone plan over the next 4 months?
Answers
Answer:
The first month is $32
The second month is $64
The third month is $96
The fourth month is $128
Step-by-step explanation:
32 plus 32 is 64 and 32 plus 64 is 96 so on
A $1200 investment is made. How much should be invested at 15% and how much at 8% so that the total return on the entire investment is 9.5%?
Answers
Answer:
The amount invested at 15% = $257.14
The amount invested at 8% = $942.86
Step-by-step explanation:
Let the amount invested at:
15% = a
8% = b
Total invesment = $1200
Hence:
a + b= $1200....... Equation 1
a = 1200 - b
15% × a + 8% × b = 9.5% × 1200
0.15a + 0.08b = 0.095 × 1200
0.15a + 0.08b = 114..... Equation 2
We substitute 1200 - b for a in Equation 2
0.15(1200 - b) + 0.08b = 114
180 - 0.15b + 0.08b = 114
- 0.15b + 0.08b = 114 - 180
- 0.07b = - 66
b = -66/-0.07
b = $942.85714286
Approximately = $942.86
Note that:a = 1200 - b
a = $1200 - $942.86
a = $257.14
10z^2 -2z-2 10z 2 −2z−2
Answers
z =(2-√-116)/-20=1/-10+i/10√ 29 = -0.1000-0.5385i
z =(2+√-116)/-20=1/-10-i/10√ 29 = -0.1000+0.5385i
Step-by-step explanation:
A tin contains 18.5 litre of oil. How much such tin contain 129.5 litre of oil?
Answers
Just answer it plzzzzz
Answers
Answer:
i would say answer A
Step-by-step explanation:
I need help please!:D
Answers
Answer:
1 & 2
Step-by-step explanation:
Plz help me I am timed!!
10/9 = 5/3x. X= ?
Answers
Lara went to the nursery and spent $140 she purchased 4 plants each of the plant costs the same price what is the cost of 1 plants ?
Answers
Answer:
$35 per plant
Step-by-step explanation:
You take the 140 and divide that by 4 to get your answer.
Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62000, with
annual raises of $2,000. How many years will it take for Lenny and Karl to make the
same salary?
Answers
Step-by-step explanation:
let no of years be x.
55000 + 2500x = 62000 + 2000x
500x = 7000
x = 14
therefore, 14 years.
Topic: algebraic eqns
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
$9.65 per hour 40 hours and time and a half for 5 hours
Answers
Answer:
im not 100% sure what your asking but i think its you make 9.65 per hour for 40 hours then 5 more hours how much are you making?
Step-by-step explanation:
its 434.25 here is why 9.65x40=386
+5hours 9.65x5=48.25
386+48.25=434.25
what is 4.5 x 10 in standard notation
Answers
Answer:
45
Step-by-step explanation:
What is 79% of 55????
Answers
Answer:
43.45%
Step-by-step explanation:
what is the least common deno minator 2/5 and 3/2
Answers
Answer: 10
Step-by-step explanation: The common denominator for these two
fractions is simply the least common multiple for the two denominators.
Since our denominators of 5 and 2 have no factors in common,
our least common denominator is 5 · 2 or 10.
During bowling practice, Marley rolled 14 strikes out of 70 attempts.
What percent of Marley’s attempts were strikes? Enter your answer in the box.
Answers
Answer:
20%
Step-by-step explanation:
to find out we make it a fraction:
14/70
then divide
14÷70=0.2
then times it by 100
= 20%
Answer:
20%
Step-by-step explanation:
[tex]\frac{14}{70}[/tex] = [tex]\frac{x}{100}[/tex]
14 x 100 = 1400
1400/ 70 = 20%
Evaluate the expression when a=3 and c = -2. C-5a
Answers
Answer:
-17
Step-by-step explanation:
c - 5a
substitute c for -2
-2 - 5a
substitute a for 3
-2 - 5*a
-2 - 5*3
-2 - 15
-17
What is 14.724 rounded by the nearest hundredth
Answers
Answer:
14.72
Step-by-step explanation:
Please I need help badly I also have stuff on my account
Answers
Since D is across from 125 on the transversal that should be the answer.
4/7 divided by 4 ( simplest form)
Answers
Answer:
1/7 Brainliest plz
Step-by-step explanation:
A box contains orange balls and green balls. The number of green balls is six more than four times the number of orange balls. If there are 86 balls altogether, then how many green balls and how many orange balls are there in the box?
Answers
Please help (look at the picture)
Answers
the input of x (7) has two different y values which makes it not a function