Answers
1. cos B= a/x
x= 11/cos 37°
x= 13.77
2. tan A= a/x
x= 4/tan 41°
x= 4.60
3. sin B = x/c
x= sin 37° × 10.3
x= 6.20
4. tan A= a/b
tan A= 4/13
A= tan-1(0.31)
A= 17°6'10"
5. cos A= b/c
cos A= 12/13
A= cos -¹(0.92)
A= 22°37'12"
6. tan B= a/b
tan B= 3/3
tan B= 1
B= tan‐¹(1)
B= 45°
Related Questions
Determine all the zeros for the function f(x) = (x2 + 3x - 10)(x - 4).
Answers
Answer:
(x−4)(x−2)(x+5)
Step-by-step explanation:
Which rule(s) represents a linear function?
Answers
Answer:
f(x) = ax + b, where a and b are real numbers.
What is the median of this data set?
{13, 13, 13, 15, 15, 16, 16, 17, 17}
Answers
{13, 13, 13, 15, 15, 16, 16, 17, 17}
the median is 15
Answer:
it is 15.
Step-by-step explanation:
the median is the middle number in the data set. in this case, 15 is in the middle.
Solve by completing the square
Answers
Answer:
X¹=-11; X²=3
x ^ 2 + 8x - 33 = o
x ^ 2 + 11x - 3x - 33 = 0
x(x + 11) - 3(x + 11) = 0
(x + 11)(x - 3) = 0
∠45° is complementary to which of the following angles?
∠45°
∠135°
∠315°
∠55°
The answers people keep on giving is 90 but it doesnt say it here. Can someone help me?
Answers
Answer:
45°
Step-by-step explanation:
complementary angles add up to 90° so it's 90-45
the sum of two numbers, one of which is two-third of the other, is 45. find the smaller number
Answers
Step-by-step explanation:
The smaller number is 18.
Step-by-step explanation:
Let larger number = x and smaller number = \dfrac{2}{3} x32x
To find, the smaller number = ?
According to question,
x+\dfrac{2}{3} x=45x+32x=45
⇒ \dfrac{3x+2x}{3} =4533x+2x=45
⇒ 5x=45\times 35x=45×3
⇒ 5x=1355x=135
⇒ x =\dfrac{135}{5} =27x=5135=27
∴ Smaller number =\dfrac{2}{3} \times 27=2\times 9 =18=32×27=2×9=18
Hence, the smaller number is 18.
I will mark you brain list and Give you 90 point if you do it right and answer right thanks
Answers
Answer:
11 Students
Step-by-step explanation:
It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.
Answer:
Step-by-step explanation:
Please need help on this one
Answers
Answer:
○ [tex]\displaystyle -\frac{3}{4}\:houses\:per\:day[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-8 + 2}{-2 + 10} = m \hookrightarrow \frac{-6}{8} = m \\ \\ \boxed{-\frac{3}{4} = m}[/tex]
I am joyous to assist you at any time.
In the equation, y=4x-1, what does the 4 mean? What does the -1 mean?
Answers
Answer:
The equation is written in slope-intercept (y = mx + b) form. Therefore, the '4' represents the slope of the line, and the '-1' represents the y-intercept.
Whats 0.3(x-5)=7.2 as a numerical
Answers
Answer:
x=29
Step-by-step explanation:
0.3(x-5)=7.2
multiply by 10
3(x-5)=72
divide by 3
[tex]x-5=\frac{72}{3} \\x-5=24\\x=24+5\\x=29[/tex]
NEED HELP!
What is the zero of the function?
f (x) = x2+x-42/x2+3x-28
Enter your answer in the box.
Answers
[tex]f(x)=\cfrac{x^2+x-42}{x^2+3x-28}\implies \stackrel{f(x)}{0}=\cfrac{x^2+x-42}{x^2+3x-28}\implies 0 = x^2+x-42 \\\\\\ 0=(x+7)(x-6)\implies x= \begin{cases} 6\\ -7 \end{cases}[/tex]
≈
−
6.3630657
,
−
1.38899554
,
4.75206125
Using the equation 5x=4y, if y=10, what is x?
Answers
Answer:
x = 8
Step-by-step explanation:
plug 10 into the other equation for y then solve...
5x = 4(10)
5x = 40
x = 8 [Answer]
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Answer:
x = 8
Step-by-step explanation:
Using the equation 5x = 4y, if y = 10, what is x?
5x = 4y
5x = 4(10) <== substitute 10 for y
5x = 40
/5 /5 <== divide both sides by 5
x = 8 <== value of x, our final answer
Hope this helps!
Answer the Both (a) and (b) . And show the method too. I will make Brainelist + 50 points
Answers
#a
4p-6pq+9q-64p-3(2pq+3q-2)#b
That be x and y
So
x+y=15--(1)2x+4y=64--(2)So
from eq(1)
x=15-y--(3)Put in second one
2(15-y)+4y=6430-2y+4y=642y=34y=17Put in third one
x=15-17x=-2Take it positive
x=2Answer:
(a) (i) Factorize [tex]\sf 4p-6pq+9q-6[/tex]
Rewrite by swapping the order of the first two terms:
⇒ -6pq + 4p + 9q - 6
Factorize the first two terms and the last two terms separately:
⇒ -2p(3q - 2) + 3(3q - 2)
Factor out the common term (3q - 2):
⇒ (3q - 2)(-2p + 3)
(ii)
Square of the binomial: [tex](a+b)^2=a^2+2ab+b^2[/tex]
Rewrite [tex]9.9[/tex] as [tex]10 - 0.1[/tex]
Therefore, [tex]a = 10[/tex] and [tex]b = -0.1[/tex]
Also, remember that multiplying a number by 0.1 is the same as dividing it by 10. (when dividing a decimal number by 10, simply move the decimal point 1 place to the left).
[tex]\begin{aligned}\implies 9.9^2 & =(10-0.1)^2\\ & =10^2-2 \cdot 10 \cdot 0.1+0.1^2\\& = 100-\dfrac{2 \cdot 10}{10}+\dfrac{0.1}{10}\\& =100-2+0.01\\ & =98 + 0.01\\ & = 98.01\end{aligned}[/tex]
(b) (i)
Let x = number of motor bicycles
Let y = number of cars
Given:
There are 15 vehicles of two types⇒ x + y = 15
Given:
The number of tires in all vehicles is 64- Motor bicycles have 2 tires each
- Cars have 4 tires each
⇒ 2x + 4y = 64
(ii) Rewrite x + y = 15 to make x the subject:
⇒ x = 15 - y
Substitute into 2x + 4y = 64 and solve for y:
⇒ 2(15 - y) + 4y = 64
⇒ 30 - 2y + 4y = 64
⇒ 30 + 2y = 64
⇒ 2y = 34
⇒ y = 17 cars
Substitute found value of y into x = 15 - y to find x:
⇒ x = 15 - 17 = -2 motorbikes
**There must be an error in the question, as with the given information, the number of motorbikes is -2, which is impossible.**
Here are the possible combinations of number of motorbikes (M) and number of cars (C) whose sum of tires is 64. As you can see, there is no combination that sums to 15 vehicles:
0 M + 16 C = 16 vehicles
2 M + 15 C = 17 vehicles
4 M + 14 C = 18 vehicles
6 M + 13 C = 19 vehicles
8 M + 12 C = 20 vehicles
10 M + 11 C = 21 vehicles
12 M + 10 C = 22 vehicles
14 M + 9 C = 23 vehicles
16 M + 8 C = 24 vehicles
18 M + 7 C = 25 vehicles
20 M + 6 C = 26 vehicles
22 M + 5 C = 27 vehicles
24 M + 4 C = 28 vehicles
26 M + 3 C = 29 vehicles
28 M + 2 C = 30 vehicles
30 M + 1 C = 31 vehicles
32 M + 0 C = 32 vehicles
Find the perimeter and area of the following figure.
10 ft
5 ft
8 ft
3 ft
Answers
Answer:
33ft
Step-by-step explanation:
1. Work out the missing length.
2.10-3=7 so it is 7.
10+5+8+3+7=33ft
find GCF of 40 and 120
Answers
Answer:
Hi there!
Find the GCF of 40 and 120The GCF of 40 and 120 is 4040 ÷ 40 = 1
120 ÷ 40 = 3
Hope its help!Find the missing vertical angles.
Answers
Answer:
L1 = 113°
L4 = 67°
Step-by-step explanation:
L1 + L2 = 180°
L1 = 180° - L2
L1 = 180° - 67°
L1 = 113°
L3 + L4 = 180°
L4 = 180° - L3
L4 = 180° - 113°
L4 = 67°
Proof-
Combination of L1,L2,L3 and L4 should be 360°
113°+67°+113°+67° = 360°
Simplify and write the trigonometric expression without any fractions: tan(u)+cot(u)
Answers
Answer:
[tex]\csc(u).sec(u)[/tex]
Step-by-step explanation:
[tex] \tan(u)+ \cot(u) \\ \\ = \frac{ \sin(u)}{ \cos(u)} + \frac{ \cos(u)}{ \sin(u)} \\ \\ = \frac{ { \sin}^{2} (u) + {\cos}^{2} (u)}{ \sin(u). \cos(u)} \\ \\ = \frac{1}{ \sin(u). \cos(u)} \\ ( \because \: { \sin}^{2} ( \theta) + {\cos}^{2} ( \theta) = 1) \\ \\ = \frac{1}{\sin(u)} \times \frac{1}{\cos(u)} \\ \\ = \csc(u).sec(u) \\ \\ \implies \: \purple{ \bold{ \tan(u)+ \cot(u) = \csc(u).sec(u)}}[/tex]
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
(Sin²u + Cos²u) = 1
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Tan (u) + Cot (u)
We know that,
Tan x = sin x / cos x
Cot x = cos x / sin x
Now,
Tan (u) + Cot (u)
= {Sin (u) / Cos (u) + Cos (u)}/ Sin (u)
Simplify by forming into a fraction.
= (Sin²u + Cos²u) / Sin(u)Cos(u)
[ sin² + cos² = 1 ]
So,
(Sin²u + Cos²u) = 1
= 1 / Sin(u)Cos(u)
= 1/Sin(u) x 1/Cos(u)
= Cosec(u) x Sec(u)
Thus,
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ2
The fuel tank of chris new lawn mower holds 1/2 gallon of gasoline chris poured 0.4 gallons into the tank did chris fill the tank explain?
Answers
Find the perimeter please help
Answers
Answer:
30
Step-by-step explanation:
When solving the perimeter you add up all the numbers on the outside of the shape
Find the x- and y-intercepts of the quadratic function below. Give non-integer
coordinates in fractional form.
f(x) = 2x2 - 5x + 3
-
Answers
Answer:
Step-by-step explanation:
Twenty years ago, Mike was four times as old as John. Four years from now mike will be twice as old as John let x represent Mike's age and y represent Johns age. Helppp! I need an equation in either standard or slope-intercept form! WILL GIVE BRAINLIEST!
Answers
Answer:
Mike is 68 and John is 32Step-by-step explanation:
Set equations as follows
20 years ago
Mike was four times as old as John:
x - 20 = 4(y - 20)Four years from now
Mike will be twice as old as John:
x + 4 = 2(y + 4)Simplify each equation
x - 20 = 4y - 80 ⇒ x = 4y - 60x + 4 = 2y + 8 ⇒ x = 2y + 4Solve for y by substitution
4y - 60 = 2y + 44y - 2y = 60 + 42y = 64y = 32Find the value of x
x = 2*32 + 4 ⇒ x = 68I hope you can convert the above equations into required format. Let me know if not.
Help picture below problem 13
Answers
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]
Thus the missing side length is 12 cm
Hope that helps!
The sum of three numbers is 11 . The sum of twice the first number, 5 times the second number, and 6 times the third number is 44. The difference between 4 times the first number and the second number is 10. Find the three numbers.
Answers
Answer:
4, 6, 1
Step-by-step explanation:
We can solve this problem using a system of equations:
1) a + b + c = 11
2) 2a + 5b + 6c = 44
3) 4a - b = 10
First, we can substitute the value of b from equation #3 into equation #1:
b = 4a - 10
a + (4a - 10) + c = 11
5a - 10 + c = 11
5a + c = 21
c = 21 - 5a
Now, we can plug the values of b and c into equation #2, as b and c are represented in terms of a:
2a + 5(4a - 10) + 6(21 - 5a) = 44
2a + 20a - 50 + 126 - 30a = 44
-8a + 76 = 44
-8a = -32
a = 4
b = 4a - 10 = 4(4) - 10 = 6
c = 21 - 5a = 21 - 5(4) = 1
For a moving object, the force acting on the object varles directly with the object's acceleration. When a force of 45 N acts on a certain object, the acceleration
of the object is 5 m/s?. If the force is changed to 63 N, what will be the acceleration of the object?
Answers
Answer:
acceleration,A = 7
Step-by-step explanation:
F = kA
First expression: 45 = 5k, k = 9
therefore, when F = 63, A = 63/9 = 7
Help me plssssssssssss
Answers
Answer:
DC=12, AD=5, DB=13, 90 degrees
Step-by-step explanation:
Hope this helps!!!
Let me know if you want an explanation!
40 Points !!!!
Find the slope of line e.
a. -1/2
b. 1/2
c. -2
d. 2
Answers
Two red and two blue blocks are
placed into a bag. You randomly
take one block out of the bag. If
you replace the block each time,
how many red blocks would
you expect to take out if you try
8 times?
Answers
Answer:
1/3
Step-by-step explanation:
Probability of an Event = Number of Favorable Outcomes/Total Number of Possible Outcomes
J F F 570 K po 142° G H Find the value of x.
Answers
Answer:
I'm stuck on the same question
Step-by-step explanation:
Nayeli has a points card for a movie theater.
She receives 40 rewards points just for signing up.
• She earns 14.5 points for each visit to the movie theater.
She needs at least 185 points for a free movie ticket.
Answers
Answer: She would have to visit the movie theater 10 times.
Step-by-step explanation:
Step-by-step explanation:
I am not sure what the actual question is.
the general function for the amount of gathered reward points p with v visits to the theater is
p(v) = 14.5×v + 40 (40 starting points, 14.5 points per visit)
to know how many visits are needed for a certain amount of points (185) we need to solve that equation for v :
185 = 14.5×v + 40
145 = 14.5×v
v = 145/14.5 = 10
so, she needs at least 10 visits to gather the desired 185 points for a free ticket.
but that applies only to the first free ticket.
after that the function behavior kind of changes, because we have no more starting points :
so to get 2×185 = 370 points for 2 free tickets she will need
370 = 14.5×v + 40
330 = 14.5×v
v = 330/14.5 = 22.75862069...
we need to round up to the next whole number (because there can be no "part-visits").
so, she will need 23 visits for 2 free tickets (that means 13 more visits for the second free ticket).
What's the answer to this
z + 2 = 50
Answers
[tex]z + 2 = 50[/tex]
[tex]z = 50 - 2[/tex]
[tex]z = 48[/tex]
Answer:
z = 48
Step-by-step explanation:
z + 2 = 50 ( subtract 2 from both sides )
z = 48