Step-by-step explanation:
since right angle triangle,then:
180-(90+35)=B=55
use cosB=opposite/hypotenuse
cos55=x/12
x=cos55x12
x=6.88
9514 1404 393
Answer:
9.8
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship involving the adjacent side and the hypotenuse:
Cos = Adjacent/Hypotenuse
cos(35°) = x/12
Multiplying by 12 gives x:
x = 12·cos(35°) = 12×0.81215
x = 9.8
Given the following sequence, which other representations below represent the SAME sequence?
Answer:
...
Step-by-step explanation:
Draw lines to match each equation on the left to its number of solutions on the right.
Answer:
1) The equation [tex]2(4x-1)=-8x-2[/tex] has one solution
2) The equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions
3) The equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.
Step-by-step explanation:
We need to solve the equation and match with its solution.
1) [tex]2(4x-1)=-8x-2[/tex]
Solving and finding value of x:
[tex]2(4x-1)=-8x-2\\8x-2=-8x-2\\8x+8x=-2+2\\16x=0\\x=0[/tex]
So, We get x =0
So, the equation [tex]2(4x-1)=-8x-2[/tex] has one solution
2) [tex]2(4x-1)=8x-2[/tex]
Solving the equation and finding value of x:
[tex]2(4x-1)=8x-2\\8x-2=8x-2\\8x-8x=-2+2\\0=0[/tex]
So, We get 0 =0
So, the equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions
3) [tex]-2(4x-1)=-8x-2[/tex]
Solving the equation and finding value of x
[tex]-2(4x-1)=-8x-1\\-8x+2=-8x-2\\-8x+8x=-2-2\\0\neq -4[/tex]
So, we get 0 ≠ -4
So, the equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.
a line passes through the point (-6,-7) and has a slope of 5/2
Write an equation in slope intercept form for this line
Answer:
Draw a line of a givens point
Which of the following statements is TRUE?
ps=10/3
pq=10
pr=10
sr=10/3
Answer:
10/3
Step-by-step explanation:
Answer: give that person brainliest
Step-by-step explanation:
what is the answer? please
An 8 ft tall tent standing next to a man casts a 16 ft shadow. If the man is 6 ft tall, then how long is his shadow?
Answer:
The man's shadow is 12 feet long.
Step-by-step explanation:
In this question, we are given that an 8 foot tall tent casts a 16 foot shadow, and we are asked the calculate the length of the shadow a 6 foot tall man casts.
To solve this problem, find the relationship between 8 and 16- 16 is twice as much as 8, as 8 x 2 = 16.
From this we have: "The shadow of an object is twice as long as the object."
We can use this to calculate the length of the shadow for a 6 foot tall man. Since the height of the man is 6 feet, the length of his shadow would be 12 feet.
Let me know if this helps!
Write the equation of the line, in slope intercept form through the following two points
(-9,-1)
(4,0)
Answer:
y=1/13x - 4/13
Step-by-step explanation:
Just follow the slope intercept form formula-
Formula: y= mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Feel free to ask if you have any questions, hope this helps!(:
I need help with this ASAP and can you explain so i can understand?!
Answer:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
[tex]We\:have\\x+y=600\\x=600-y[/tex]
Put in eq(2)
[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375
Match the system of equations to their solutions
Answer:
2x + y = 12 & x = 9 - 2y --- (x = 5, y = 2)
x + 3y = 16 & 2x - y = 11 --- (x = 7, y = 3)
y = 11 - 2x & 4x - 3y = -13 --- (x = 2, y = 7)
2x + y = 11 & x - 2y = -7 --- (x = 3, y = 5)
Step-by-step explanation:
I’ll give brainlest if you get it right if wrong no brainlest
Answer:
2. Isosceles triangle
3. Isosceles triangle
4. Isosceles triangle
5. Equilateral triangle
6. Scalene triangle or Isosceles triangle
Step-by-step explanation:
Answer:
2) Isosceles triangle
3) Scalene Triangle
4) Scalene Triangle
5) Equilateral Triangle
6) Isosceles triangle
Step-by-step explanation:
the image should help you
what is the speed of a bowling ball that travels 100 meters in 5 seconds
what three ratios are equivalent to 11: 1
Answer:
33/3
55/5
77/7
When these are simplified, they are equal to 11/1
Please help ASAP i really need help
Answer:
X= 0
X= -4
x1= -4, x2=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explain how to solve 2(x-1)=-200
I attached the answer below. Please take a look. You're welcome.
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?
Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Answer:
Step-by-step explanation:
the answer is 24:8
6a - 3d
When a =1,d=2
Is it 0
3
1
12
Answer:
0
Step-by-step explanation:
What is the slope of the line with equation y - 3= -1/2(x - 2)
Answer:
-1/2
Step-by-step explanation:
according to what I learnt, the general form of every equation is y=mx+c where y is the y value, x is the x value, m is the slope and c is the y-intercept so the equation y-3= -1/2(x - 2) in the general form wil be :
y= -x/2+4 and so m= -x/2 ,that is -1/2
16/x = 2/7 cross multiplication
Answer:
x=56
Step-by-step explanation:
16 x 7= x * 2
[tex]x=\frac{16 x7}{2}[/tex]
x=56
Hope this helps :)
As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for shipment each. The expression 14.99n +4.99 represents the cost of n CDs. Find the total cost for ordering 3 CDs
Answer:
14.99x3=44.97+4.99=49.96. You will have to pay $49.96 for the three CDs plus the shipping charge.
Step-by-step explanation:
SOMEONE HELP NOW IM ON A TIMED TEST
Margo's hybrid car uses 56 of a gallon of gas for every mile that Margo drives. Margo
drove her car 200 miles to visit her aunt. When she left her house the car's gas tank
was full. When she arrived at her aunt's house the gas tank contained 8 gallons of gas.
She did not stop for gas along the way.
Which equation represents the number of gallons of gas, y, in the car's tank after
Margo drives the car x miles?
Answer:
It is C
Step-by-step explanation:
PLEASE HELP ASAP. WILL MARD BRAINLYEST
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its
dimensions are shown below. What is the area of the sign?
O 35 square feet
O 40 square feet
O 50 square feet
O 55 square feet
Answer:
Answer:
35 square feet
Step-by-step explanation:
Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.
through:
(0,3)(−4,5)
Step-by-step explanation:
General line equation: y = mx + c
When x = 0, y = 3. => (3) = m(0) + c, c = 3.
When x = -4, y = 5. => (5) = m(-4) + c,
5 = -4m + (3), -4m = 2, m = -0.5.
Hence the answer is y = -0.5x + 3.
Answer:
y=-[tex]\frac{1}{2}[/tex]+3
Step-by-step explanation:
To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)
m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
=[tex]\frac{5-3}{-4-0}[/tex]
=2/-4
=-[tex]\frac{1}{2}[/tex]
next, calculate b by substituting a point (0, 3) into the equation
y=mx+b
3=(-1/2)(0)+b
b=3
final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3
Pls help taking finals
What is the value of w in the equation -W + 7 = 2w- 2?
Answer:
3
Step-by-Step explanation:
I just worked it out! Good luck :)
Who earns more per hour, and what is his or her pay rate?
Work out the volume of this sphere.
Give your answer to 1 decimal place.
4.7 cm
Answer:
434.9 cm³
Step-by-step explanation:
Volume of a sphere: 4/3πr³
Substitute the information to find the volume.
4/3π(4.7)³ = 434.9
This is something I have been trying forever !!!
Answer:45 degrees
Step-by-step explanation: The opposite angles theorem
Answer:
45
.................. . ...
Write these amounts as ratios in the simplest form
75 cm to 1.5 m (c)
Step-by-step explanation:
75 cm =0.75 m
0.75/1.5=0.5
0.5=5/10=1/2
1:2
Answer:
ratio 1 to 2
Step-by-step explanation:
first convert 75cm to m
which is equal to 0.75m
0.75/1.5 =1 /2
the answer is 1 to 2
Item 1
Question 1
Solve 52x>5. Graph the solution.
The lifetime for a certain type of tre has been shown to be five years the mean) with a standard deviation of 6 months. In a normal distribution, what percentage of these tires will
last more than six years (more than two standard deviations above the mean)?
Answer:
2.28%
Step-by-step explanation:
mean = 5 years = 60 months
standard deviation = 6 months
X = number of years the tires will last
P = probability of ...
z = z-score
6 years = 72 months
z = (# of months - mean) / standard deviation
z = (72 - 60)/6
z = 12/6
z = 2
P(X > 72) = 1 - P(X < 72)
= 1 - P(z < 2)
(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)
So:
= 1 - .9772
= 0.0228 OR 2.28%
if MP= 6x-5, QR = 3x+1 ,and RN = 6, what is QN
Answer:
19 units.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is given that MN=PQ.
It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.
Since non parallel sides are equal, therefore it is an isosceles trapezoid.
The diagonals of an isosceles trapezoid are equal.
Substitute the given values.
The value of x is 4.
Hence, the measure of QN is 19 units.