Answers
Answer:
I htink x ≈ 8
Step-by-step explanation:
Answer:
X is approximately 7.8.
Step-by-step explanation:
You can use SOH-CAH-TOA to help figure out what function (sin, cos, tan) you need to use in order to figure out the missing side.
For this one, we can see the angle is pointing to the opposite side (x length), and we have been given the hypotenuse (18). So we want to use the sin function.
[tex]sin\ (angle)=\frac{opposite}{hypotenouse}[/tex]
[tex]sin (26)=\frac{x}{18}[/tex]
[tex]0.438=\frac{x}{18}[/tex]
[tex]7.890... = x[/tex]
Using Pythagorean theorm, you can figure out the other side if need be :)
For reference:
[tex]sin (angle)=\frac{opposite}{hypotenuse}[/tex]
[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]
[tex]tan(angle)=\frac{opposite}{adjacent}[/tex]
Related Questions
Simplify 6 - (-2) - 3(-5).
-11
-7
19
23
Answers
Answer:
23
Step-by-step explanation:
6-(-2)-3(-5)
you first have to multiply the signs
a negative×a negative is a positive.positive times negative is negative, positive times positive is positive.
so for this question
6+2+15
23
I hope this helps
Explanation:
6-(-2)= 8 because negative and negative becomes positive so we add them.
-3(-5) = 15 because we have to multiply -3 by -5 which is 15 because when we multiply 2 negative numbers we get a positive
Now:
15 + 8 = 23
can the area of a square be expressed as a prime number if its side length is expressed as a natural number?
Answers
not possible because the area of a square is always a square of it's length and a square cannot be a prime number
Answer:
No
Step-by-step explanation:
Because the area of a square is always a square of its length and a square can't be prime.
Janice's age was two-third of her elder sister's age now. If Janice's elder sister was x years old three years ago, determine Janice's age three years later in terms of x.
Answers
Answer: Her sister's age 3 years ago = x
so, her age now = x+3
so Janice's present age = 2/3 of (x+3) {as Janice's present age is two-third of her sister's age now}
Therefore, Janice's age determining the value of x is 2/3 of (x+3).
PLEASE HELP! I'LL GIVE BRAINLIEST:)
The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is (2, -3) (2, 3) (-2, 3)
Answers
Step-by-step explanation:
We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
Given, the equation of circle
[tex] {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} [/tex]
By comparing, we will get,
h = -2
k = 3
So, center of the circle is ( -2,3)
[tex]\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \bf\:Mark\\\bf\:me\:as\\\bf brainliest \end{array}}}} \\ [/tex]
Answer:
-2;3
Step-by-step explanation:
we have a formular
(x-a)^2 +(y-b)^2=c
the center of the cirlce is (a;b)
so in this case it's (-2;3)
Plssssss help!!! On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
Answers
The total distance traveled in two days would be 380 miles.
Let's see how we calculate the distance.
Distance is calculated by multiplying speed with time. So,D = S * TS = D ÷ TGiven that,
Speed on first day = 40 mph
Since,
Speed = Distance/Time
∵ 40 = [tex]d_{1}[/tex]/[tex]T_{1}[/tex] ...(i)
Speed on the second day = 60 mph
Distance traveled = [tex]d_{1}[/tex] - 20
Time taken = [tex]T_{1}[/tex] - 2
Since,
Speed = Distance/Time
∵ 60 = ([tex]d_{1}[/tex] - 20)/ ([tex]T_{1}[/tex] - 2) ...(ii)
As we know,
Total distance = [tex]d_{1} + d_{2}[/tex]
= [tex]d_{1}[/tex] + [tex](d_{1} - 20)[/tex]
= 2[tex]d_{1}[/tex] - 20 ...(iii)
From (i), we can deduce that,
[tex]d_{1}[/tex] = 40[tex]T_{1}[/tex]
[tex]T_{1}[/tex] = [tex]d_{1}[/tex]/40
Now, by putting the values of [tex]d_{1}[/tex] and [tex]T_{1}[/tex] in equation (ii), we get
60 = ([tex]d_{1}[/tex] - 20)/ ([tex]T_{1}[/tex] - 2)
⇒ [tex]d_{1}[/tex] - 20 = 60([tex]T_{1}[/tex] - 2)
⇒ [tex]d_{1}[/tex] - 20 = 60[tex]T_{1}[/tex] - 120
⇒ [tex]d_{1}[/tex] - 20 = 60 * (
⇒ [tex]d_{1}[/tex] = 3
⇒ [tex]d_{1}[/tex] - 3
⇒ - [tex]d_{1}[/tex]/2 = -100
∵ [tex]d_{1}[/tex] = 200
By substituting the value of [tex]d_{1}[/tex] in equation (iii),
Total distance = 2[tex]d_{1}[/tex] - 20
= 2(200) - 20
= 400 - 20
= 380 miles
Learn more about 'speed and distance' here:
brainly.com/question/12577966
5. PLEASE HELP ME
Write the equation in standard form. Then factor the left side of the equation.
2x2 + 7x = 15
A. (2x – 3)(x + 5) = 0
B. (2x + 3)(x + 5) = 0
C. (2x + 5)(x – 3) = 0
D. (2x – 5)(x + 3) = 0
Answers
Answer:
7x=11
Step-by-step explanation:
do it
5. Find the measure of x and and the angle measure.
(3x - 15)
(2x + 7)
Answers
Answer:
here's the answer to your question
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = x2 + 1 and g(x) = 3x.
Find f − g.
A.
x2 + 3x + 1
B.
x2 + 3x
C.
3x3 + 3x + 1
D.
x2 − 3x + 1
Answers
Answer:
D
Step-by-step explanation:
(f-g)(x) = x^2+1-3x= x^2-3x+1
quadratics formula 4x^2+3x-1=0
Answers
Answer: X = 1/4 or X = -1
Step-by-step explanation:
4x2+3x−1=0
(4x−1)(x+1)=0
4x−1=0 or x+1=0
4x=1 or x=-1
Now divide 4 from both sides
like this 4x/4=1/4
now cancel out two 4's so the answer will be x=1/4
If you can show the work please its due in 1 hour 15 points and marking brainliest.
Answers
Answer:
[tex]a) \: \: 7x[/tex]
[tex]b) \: \: 12 {x}^{2} - 5x[/tex]
[tex]c) \: \: - 3x + 4[/tex]
Step-by-step explanation:
[tex]a) \: \: 4x+7x−3x−x \\ 11x−3x−x \\ 8x−x \\ 7x[/tex]
[tex]b) \: \: 7 {x}^{2} −6x+5 {x}^{2} +x \\ 12 {x}^{2} −6x+x \\ 12 {x}^{2} - 5x[/tex]
[tex]c) \: \: 9−4x−5+x \\ −4x+4+x \\ −3x+4[/tex]
Hope it is helpful....Help with this question
Answers
Step-by-step explanation:
Hey there!
Given;
-6(2x-9) + (7-6x) = 0
Simplify it.
-12x + 54 + 7 - 6x = 0
-18x +61 = 0
Therefore, answer is option B.
Hope it helps!
Find the measure of the indicated angle to the nearest degree
Answers
Explanation:
In this case, we must first find the hypotenuse of this triangle by the Pythagorean Theorem.
sqrt(a^2 + b^2) = c
1) sqrt( 23^2 + 28^2) = c
2) sqrt(529 + 784) = c
3) sqrt(1313) = c
4) c = 36.2353
Now that we have obtained our hypotenuse, we can easily find our missing angle by the sine rule.
sin(Angle)/opposing side = sin(Angle)/opposing side
1) sin90/36.2353 = sinx/23
2) 1/36.2353 = sinx/23
3) 23/36.2353 = sinx
4) x = sin^-1(23/36.2353) (SHIFT + Sin on your calculator to do this)
5) x ≈ 39
Hope this helps, brainliest would be appreciated :)
Please help me this on the picture
Answers
Answer:
Step-by-step explanation:
You have a bag which contains only red and green marbles. In this bag with $x^{2} 5$ marbles total, $x 1$ are red. Also, $x-3$ marbles have a scratch on them. The probability of drawing a red marble from the original bag is equal to that of drawing a marble with a scratch from the marbles left in the bag after twenty scratch-free marbles are taken out of the full bag. How many marbles were originally in the bag?
Answers
The original number of marbles in the bag is 30.
The given parameters are:
[tex]Red = x + 1[/tex]
[tex]Total = x^2 + 5[/tex]
The probability of red is:
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{x+1}{x^2 + 5}[/tex]
When 20 marbles were removed, the marbles left are:
[tex]Marbles =Total - 20[/tex]
This gives:
[tex]Marbles =x^2 + 5 - 20[/tex]
[tex]Marbles =x^2 -15[/tex]
The probability of selecting a scratched marble at this point is:
[tex]P(Scratch) = \frac{Scratch}{Marbles}[/tex]
[tex]P(Scratch) = \frac{x -3}{x^2 - 15}[/tex]
This probability equals the probability of red.
i.e.
[tex]P(Red) = P(Scratch)[/tex]
So, we have:
[tex]\frac{x +1}{x^2 + 5} = \frac{x -3}{x^2 - 15}[/tex]
Cross multiply
[tex](x + 1)(x^2 - 15) = (x - 3)(x^2 + 5)[/tex]
Expand
[tex]x^3 - 15x + x^2 - 15 = x^3 + 5x - 3x^2 - 15[/tex]
Subtract [tex]x^3[/tex] from both sides
[tex]- 15x + x^2 - 15 = 5x - 3x^2 - 15[/tex]
Add 15 to both sides
[tex]- 15x + x^2 = 5x - 3x^2[/tex]
Collect like terms
[tex]3x^2 + x^2 - 15x - 5x = 0[/tex]
[tex]4x^2 - 20x = 0[/tex]
Divide through by 4
[tex]x^2 - 5x = 0[/tex]
Expand
[tex]x(x - 5) = 0[/tex]
Split
[tex]x = 0[/tex] or [tex]x - 5 = 0[/tex]
[tex]x = 0[/tex] or [tex]x = 5[/tex]
x can't be 0.
So: [tex]x = 5[/tex]
The number of marbles initially is:
[tex]Total = x^2 + 5[/tex]
[tex]Total = 5^2 + 5[/tex]
[tex]Total = 30[/tex]
Hence, the original number of marbles in the bag is 30.
Read more about probabilities at:
https://brainly.com/question/11234923
10. Both x and y vary inversely with each other. When x is 10, y is 6,which of the following is not a possible pair of corresponding values of x and y? (A) 12 and 5 (B) 15 and 4 (C) 25 and 2.4 (D) 45 and 1.2
expain me
mods plz answer
Answers
9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.
Consider triangle GHJ in the figure below.
please help :)
Answers
Answer:
The picture isnt really showing for me
Step-by-step explanation:
It's either me or the picture.
It is known that seventy percent (70%) of married couples paid for their honeymoon themselves. You randomly select 9 independent married couples and ask each if they paid for their honeymoon themselves. Let our random variable be X = the number of married couples that paid for their honeymoon themselves. What is the probability that all married coupled asked stated they paid for their honeymoon themselves? (Round your answer to four decimal places).
Answers
Answer:
0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.
Step-by-step explanation:
For each couple, there are only two possible outcomes. Either they paid for their honeymoon, or they did not. The probability of a couple having paid for their honeymoon is independent of any other couple, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is known that seventy percent (70%) of married couples paid for their honeymoon themselves.
This means that [tex]p = 0.7[/tex]
You randomly select 9 independent married couples.
This means that [tex]n = 9[/tex]
What is the probability that all married coupled asked stated they paid for their honeymoon themselves?
This is P(X = 9). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{9,9}.(0.7)^{9}.(0.3)^{0} = 0.0404[/tex]
0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.
Which number is rational?
A. -3 1/2
B. sqrt 5
C. Pi
D. 9.23157 ...
Answers
Answer:D
Step-by-step explanation:
Please hurry I will mark you brainliest
Question’s Picture included*
Answers
Answer:
when you have 32 pennies the total mass will be 185
10 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches
Answers
Answer:
110.5 cubic inches
Step-by-step explanation:
Base is parallelogram, so area is
A = 4.7×5 = 23.5
Height(h) is 4.7, so volume is,
V = A×h
= 23.5×4.7
= 110.45 ≈ 110.5
Answered by GAUTHMATH
Find the value of x in the figure.
X= _
Answers
Answer:
x=35
Step-by-step explanation:
For a polygon with n sides, the sum of its interior angles is equal to
(n-2) * 180
Here, there are 6 sides, so the sum of this polygon's interior angles is equal to (6-2)* 180 = 720
Therefore, the sum of the interior angles is 720. We can add them up to get
(4x-5) + 117 + (3x-3) + (3x+6) + 118 + 4x-3
= 14x +230 = 720
subtract 230 from both sides to isolate the x and its coefficint
14x = 490
divide both sides by 14 to get x
x=35
what is value of y and x if 3x+2y=2 and 2x+3y=4
Answers
We need to form a system of equations:
3x + 2y = 2
2x + 3y = 4
Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).
6x + 4y = 4
6x + 9y = 12
Next, we can subtract the second equation from the first. We get:
0x - 5y = -8
Then this becomes:
-5y = -8
÷-1 ÷-1
5y = 8
÷5 ÷5
y = 1.6
Substitute 1.6 for y in one of the equations:
2x + 3(1.6) = 4
2x + 4.6 = 4
2x = -0.6
÷2 ÷2
x = -0.3
Answer: [tex]\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |\times3\atop {2x+3y=4}\ \ |\times2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6[/tex]
Solve: 3w + 2 = 20 Write a real world problem that this equation represents.
Answers
Step-by-step explanation:
3w + 2 = 20
-2 -2
------------------
3w = 18
---- ----
3 3
w = 6
You and your 2 friends have 20 fruits in total and your friend's mother gave you and your friends two more.
Hope this helped.
Equation – 3w + 2 = 20
Solution :3w + 2 = 20Transpose 2 to the right hand side of the given equation
3w = 20 - 2Now, simplify the right hand side
3w = 18Cross multiply
w = 18/3 w = 6Hence, the solution of the equation is 6
At a summer camp the campers can choose one of three programmes: camp craft, water sports or hiking. During the first week of camp the campers chose the programmes in the ratio 7:5:8. During the second week of camp the same number of campers chose the programmes in the ratio 7:6:4. Did more campers choose the camp craft programme in the first or second week? How many more?
Answers
Answer: Second week
Step-by-step explanation:
Given
In first week, campers choose programmes in the ratio of [tex]7:5:8[/tex]
In second week, this ratio becomes [tex]7:6:4[/tex]
Suppose 100 campers Joined the camp
Number of hikers who choose camp craft in first week are
[tex]\Rightarrow \dfrac{7}{7+5+8}\times 100=\dfrac{7}{20}\times 100\\\\\Rightarrow 35[/tex]
Number of hikers who choose camp craft in second week are
[tex]\Rightarrow \dfrac{7}{7+6+4}\times 100=\dfrac{7}{17}\times 100\\\\\Rightarrow 41.17\approx 41[/tex]
Therefore, in second week more campers take part in camp craft.
If 100 campers take part then, 6 more campers takes part in camp craft.
A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
x+0
x+6
x-6
x+4
Answers
Answer: x+6
Step-by-step explanation:
lvan earned $8 each time he walks his neighbor's dog. he already walked the dog 5 times.
How many more times does her need to walk the dog to earn enough money to buy a game that costs $88
__? more times
Answers
Explanation:
Start by finding out that 8x5=40 since he already walked the dog 5x for 8$each
Then you subtract that 40 from 88 and end up with 48
Then you divide that 48 by 8 since that’s the amount of money he makes per walk and end up with
6 walks
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 247 cubic units.
What is the height of the cylinder?
O 2 units
O 4 units
O 6 units
O 8 units
Answers
The height of the cylinder is 6 units.
What is cylinder?A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.
Given that, the height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.
Volume = π × radius² × height
Let the height of 3x then the radius will be x,
24π = π × x² × 3x
24 = 3x³
x = ∛8
x = 2
Therefore, height = 6
Hence, the height of the cylinder is 6 units.
Learn more about cylinders, click;
https://brainly.com/question/16134180
#SPJ7
How do I do this question it is really hard
Answers
Answer:
Step-by-step explanation:
pls help i need to finish this !!
Answers
Answer:
a
Step-by-step explanation:
it's non-linear
Step-by-step explanation:
the functions linear because as x increases by 4, y is increasing by 12 at a constant rate
Full working out for this question please.
On Monday Farmer Tom collected 6 times as many eggs as Farmer Jack. On Tuesday, Farmer Tom sold 425 eggs. Farmer Jack then had three times as many eggs as Farmer Tom. How many eggs did farmer Jack have?
a.150
b.175
c.125
d.25
e.75
Answers
Answer:
75
Step-by-step explanation:
Let farmar jack collected x eggs, then farmar Tom collect 6x eggs
farmar Tom sold 425 eggs, so he left with 6x-425 eggs, now farmar jack has 3 times of what farmar Tom has, so
3(6x-425)=x
or, x=75
so farmar jack had 75 eggs
Answered by GAUTHMATH
