Answer:
x = 21.25 , y = 5
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
125 + 4x - 30 = 180
4x + 95 = 180 ( subtract 95 from both sides )
4x = 85 ( divide both sides by 4 )
x = 21.25
8y² = 125 ( divide both sides by 5 )
y² = 25 ( take the square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
When a boy pulls his sled with a rope, the rope makes an angle of 70° with the horizontal. If a pull of 20 pounds on the rope is needed to move the sled, what is the horizontal component force?
7 lb
19 lb
20 lb
24 lb
Answer:
The answer to your question is 7 lbs.
Step-by-step explanation:
Data
angle = 70°
force = 20 lb
horizontal component
Process
To solve this problem just imagine a right triangle, where the force is the hypotenuse and the horizontal component is the adjacent side.
1.- Look for a trigonometric function that relates the adjacent side and the hypotenuse.
cos Ф = adjacent side / hypotenuse
- Solve for the adjacent side
adjacent side = hypotenuse x cosФ
- Substitution
adjacent side = 20 x cos 70
- Simplification
adjacent side = 20 x 0.342
- Result
adjacent side = 6.84 ≈ 7 lb
Verify the identity. cos quanity x plus pi divided by two = -sin x
Answer:
see below
Step-by-step explanation:
cos ( x+pi/2) = -sinx
We know that
cos(A + B) = cos A cos B - sin A sin B
Let x = A and pi/2 = B
cos x cos pi/2 - sin x sin pi/2 = -sin x
We know cos pi/2 = 0 and sin pi/2 = 1
cos x * 0 - sin x *1 = -sin x
- sin x = - sin x
Determine the measure of the interior angle at vertex D. A. 27 B. 162 C. 20 D. 36
Answer:
162°
Step-by-step explanation:
The shape is a hexagon, so the interior angles equal 720. (N-2)*180=720
9x+9x+9x+2x+9x+2x=720
40x=720
x=720/40
x=18
D=9x=9(18)=162°
The sum of interior angles of a polygon with n sides is [tex](n-2)\cdot180[/tex]
In this case [tex]n=6[/tex]
Therefore
[tex]4\cdot9x+2\cdot2x=(6-2)\cdot180\\36x+4x=4\cdot180\\40x=720\\x=18[/tex]
[tex]9x=9\cdot18=162[/tex]
So B
write a equation of a line that has a slope of 5 and passes through the point (2,13)
Answer:
y = 5x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5, thus
y = 5x + c ← is the partial equation
To find c substitute (2, 13) into the partial equation
13 = 10 + c ⇒ c = 13 - 10 = 3
y = 5x + 3 ← equation of line
How many real solutions does this system of equations have?
y=x^2+1
y=x
Answer:
none
Step-by-step explanation:
y=x²+1
y=x
x²+1=x
x²-x+1=0
Disc.=b²-4ac=(-1)²-4×1×1=1-4=-3<0
so roots are imaginary.
The formula for the area of a square is sº, where s is the side length of the square. What is
area of a square with a side length of 6 centimeters? Do not include units in your answer.
Answer:
36
Step-by-step explanation:
The formula for the area of a square is s², where s is the side length of the square.
If a square with a side length of 6 centimeters then we get,
S = 6
Now, Area of square
= s² = (6)² = 36
a pizza shop offers 30% of the price of a large pizza every tuesday night. if the regular price is 25, what is the discount price?
Answer:
17.50
Step-by-step explanation:
First find the discount
25 * .3
7.5
Subtract this from the original price
25-7.5
17.50
I need help on this question please.
Answer:
27π inch^3
Step-by-step explanation:
How much water will be in each bottle if the total amount of water is equally divided among the bottles?
Answer:
D
Step-by-step explanation:
add everything up devide by 3
Answer:
C. 1/2 liter
Step-by-step explanation:
First, find the total amount of water by multiplying the amounts of water by the number of bottles, then adding all 3 values together:
1/4(1) = 1/4 liter
1/2(4) = 2 liters
3/4(1) = 3/4 liter
1/4 + 2 + 3/4 = 3 liters
There are 6 bottles in total, if we count the number of dots.
To find how much water would be in each bottle if the water was equally divided, divide the total amount of water by the number of bottles:
3 / 6 = 1/2
= 1/2 liter
Write and solve an equation to determine how many degrees the temperature T fell.
The temperature at 5 PM. is 20°F The temperature at 10 P.M. is -5°F
Equation?
Answer: First degree equation
Step-by-step explanation:
For each hour from 5pm , the temperature decreases 5F. So, let the variation of time t , the constant -5, and the final temperature, T:
T=5t-5 .: for 5pm , variation is 0,so T in F is -5.
Answer:
probably First degree equation
Step-by-step explanation:
6p- 2q for p = 3 and q = -7
Answer:
32
Step-by-step explanation:
plug in the values of the variables then simplify
Answer:
[tex]\boxed{32}[/tex]
Step-by-step explanation:
Hey there!
Well given the expression,
6p - 2q
and p and q we need to plug them in.
6(3) - 2(-7)
Simplify
18 - -14
18 + 14
= 32
Hope this helps :)
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 4 centimeters long, and the height of the equilateral triangle is 3.5 centimeters. The pyramid's slant height is 8 centimeters. What is its surface area?
Answer:
The surface area is 55 cm².
Step-by-step explanation:
The formula to compute the surface area of the triangular pyramid is:
[tex]SA=(0.50\times \text{Base Perimeter}\times h)+\text{Base Area}[/tex]
Here h is the slant height.
Compute the Base perimeter as follows:
Perimeter of the equilateral triangle = 3 × side
= 3 × 4
= 12 cm
Compute the Base area as follows:
Area of the equilateral triangle = 0.50 × side × height
= 0.50 × 4 × 3.50
= 7 cm²
Compute the surface area as follows:
[tex]SA=(0.50\times \text{Base Perimeter}\times h)+\text{Base Area}[/tex]
[tex]=(0.50\times 12\times 8)+7\\=48+7\\=55\ \text{cm}^{2}[/tex]
Thus, the surface area is 55 cm².
which one is irrational?
Basically everything but choice C
==========================================
Explanation:
sqrt is shorthand for square root
sqrt(4) = 2 = 2/1 showing that sqrt(4) is rational. We can write it as a fraction of two whole numbers, where 0 is not in the denominator.
-------
In contrast, we cannot write sqrt(2), sqrt(3), or sqrt(5) as a fraction of two whole numbers. Using your calculator, note how
sqrt(2) = 1.4142135623731
sqrt(3) = 1.73205080756888
sqrt(5) = 2.23606797749979
all of those decimal expansions go on forever without any pattern, which is a sign that those numbers are irrational. If they were rational, then a pattern would repeat at some point or the decimals would terminate at some point.
Answer:
a, b, d are irrational
Step-by-step explanation:
root 2 = 0.414.....
root 3 = 0.732.....
root 5 = 2.236.....
Hope this helps.....
Pls mark my ans as brainliest
If u mark my ans as brainliest u will get 3 extra points
Xian and his cousin Kai both collected stamps. Xian has 56 stamps, and Kai has 80 stamps. They boys recently joined different stamp-collecting clubs. Xian’s club will send him 12 new stamps per month. Kai’s club will send him 8 new stamps per month. after how many months will Xian and Kai have the same number of stamps? How many stamps will each have?
Answer:
After 4 months Xian will have 104 stamps,
But after three months Kai will also have 104 stamps
Step-by-step explanation:
multiplying polinomiyal(5x+2)(3x+4)
Answer:
(5x+2) (3x+4)
= 15x²+20x+6x+8
= 15 x²+ 26x+8
Hope this helps ^_^
Answer:
Step-by-step explanation:
Use FOIL method
(5x + 2)(3x + 4) = 5x * 3x + 5x *4 + 2*3x +2*4
= 15x² + 20x + 6x + 8 { now add like terms}
= 15x² + 26x + 8
Area of a trapeziod with a top base length of 6 cm a bottom base length of 12 cm and a height of 5 cm
Answer:
A=45cm^2
Step-by-step explanation:
A= h/2(b1 + b2) for trapezoid
A=(5/2(6+12))cm^2
A=(2.5(18))cm^2
A=45cm^2
What is the numerical coefficient of the linear term of the quadratic equation 3x2 − 9 =0?
Answer:
0
Step-by-step explanation:
The numerical coefficient of the linear term of the quadratic equation is 0 because there is no linear term, and 0 times any number or term is 0, or nothing.
find 5 rational numbers between -3 and -4
Answer:
-3.2, -3.4, -3.6, -3.8, -3.9
Step-by-step explanation:
Hey there!
Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.
So rational numbers between -3 and -4 are,
-3.2, -3.4, -3.6, -3.8, -3.9
Hope this helps :)
For example:
-3.5
-3.0040012
-3.(91)
-3.70(77)
-15/4
what is the common number to be subtracted from each term of the ratio 11:8 to get the new ratio 2:1.?
Answer:
5 should be subtracted from each term
Step-by-step explanation:
[tex]\frac{11-x}{8-x}=\frac{2}{1}[/tex]
Cross multiply,
1 * (11 - x) = 2*(8-x)
11 -x = 2*8 - 2*x
11 - x = 16 - 2x
Subtract 11 from both sides,
-x = 16 - 2x - 11
-x = 5 - 2x
Add 2x to both sides
-x +2x = 5 - 2 + 2x
x = 5
Help pleasee!!! Tyyyyy
Answer:
G. 7
Explanation:
The longest side must be less than the sum of the two shorter sides.
The difference between the longest and shortest sides must be less than the middle side.
l+a = 11
l < (a + 4) ... l < (11 - l + 4)
... 2 l < 15 ... l < 7.5
--Variables
l = 7 (Longest Side/Answer)
a = 4 (Other Missing Length)
m = 4 (Side Given)
A card is chosen at random from a standard deck of 52 cards. What is the probability that the card is a Queen or a $\diamondsuit$ (or both)?
Answer:
probability that the card is a Queen or a diamond= 0.3269
Step-by-step explanation:
There are 4 queen in a deck of cards and 13 diamond in a deck of cards.
And a deck of cards contains 52 cards total.
Probability of the card selected to be a queen = number of queen/total number of cards
Probability of the card selected to be a queen =4/52
Probability of the card selected to be a queen= 1/13
Probability of the card selected to be a diamond= number of diamond/ total number of cards
Probability of the card selected to be a diamond=13/52
Probability of the card selected to be a diamond=1/4
probability that the card is a Queen or a diamond= Probability of the card selected to be a queen + Probability of the card selected to be a diamond
probability that the card is a Queen or a diamond= 1/13+1/4
probability that the card is a Queen or a diamond= 0.3269
If Jim Roller can paint a room in 3 hours while John Brush would take 5 hours, how long will they take if they work together?
Answer:
4 hrs
Step-by-step explanation:
half of Jim Rollers time is 1.5 hrs, and half of John Brushs time is 2.5 hrs. The two combined is 4 hrs. Therefore, the answer is four hours.
This is basically finding the average of two numbers, and you can use multiple different equations to find the same answer.
3/2 + 5/2 =4
(3+5)/2 =4
5-3=2, then 2/2=1, 5-1=4
Answer:
1 7/8 hours
Step-by-step explanation:
What is the ratio DE of the length of to the length of BC?
Answer:
1:4
Step-by-step explanation:
so we are comparing the arc lengths to get the ratio of DE:BC
[tex] \beta \div 360 \times 2 \times \pi \times r[/tex]
to get arc length BC as
[tex] \beta \times \pi \times r \div 90[/tex]
and for DE as
[tex] \beta \times \pi \times r \div 360[/tex]
so divide DE by BC where beta pi r will cancel out. and you remain with 1/4 Wich will translate to 1:4
find the positive square root of 26.77
Answer:5.173973328
Step-by-step explanation:
which phrase matches the algebraic expression bellow? 2(x+7)+10
Answer:
i think your answer is two times the sum of x and seven plus ten
if i am wrong than tell me
Step-by-step explanation:
hope this will help :)
cual es el area de un rectangulo
Answer:
Use this formula:
a = b * h
Where: "a", the area of the rectangle is equal to its "b" (base), multiplied by "h" (height)
Step-by-step explanation:
Usa esta formula:
a = b * h
Donde: "a", el área del rectángulo es igual a su "b" (base), multiplicado por "h" (su altura).
After taking off from the landing pad, a helicopter flies 3 miles west, then 2 miles southeast. How far is the helicopter from the landing pad? If someone could explain to that would be very helpful
Answer:
When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.
Line ab is the 2 miles southeast the plane flies.
Line ac = line cb
sine (45º) = opposite / hypotenuse = cb / 2
.70711 = cb / 2
cb = 1.41422 miles = line ac
Line cs = 3 - 1.41422 = 1.58578
Line x^2 = cs^2 + cb^2
Line x^2 = 2.5146982084 + 2.0000182084
Line x^2 = 4.5147
Line x = 2.1248
Step-by-step explanation:
HELP ASAP THANKS!!!!!!!!!!!!!!! Brainliest to right answer!!!
Answer:
A & C
Step-by-step explanation:
A and C have a value of 1.4142 as does the problem in the question.
Use the Law of Sines to find the missing angle of the triangle.
Find m < C to the nearest tenth if the c= 102, a = 71 and m < A=40
Answer:
66.9 degrees
Step-by-step explanation:
The Law of Sines states that a/sinA = c/sinC. Plugging in the values for c, a, and M < A, we get:
71/sin40 = 102/sinC
Cross multiplying, we get:
102(sin40deg) = 71(sinC)
Now, we simplify the left side and get:
65.56 = 71(sinC)
Next, we divide 65.56 by 71 to get:
0.92 = sinC
Taking the inverse sign we get:
C = 66.9 degrees
Multiply this 6/11* 1/4
Answer:
0.136
Step-by-step explanation:
Answer:
3/22
Step-by-step explanation:
for decimal dorm it is 0.136