Answers
Answer:
45
Step-by-step explanation:
Because this is a triangle all angles must add up to 180. so we already know 90 so 180-90=90 and 90/2 = 45. Hope this helps
Step-by-step explanation:
1. Label each side of the Triangle
Using the SOH CAH TOA method we can label zy as H (the longest line is always H). We can label xz as O (it is opposite the angle). We can label xy as A (it's the remaining side).
2. Cross out the 'useless' side
Now, we need to cross out the label which doesn't have an appointed piece of information to it. Meaning that A will remain as it labels 7cm. H will also remain as it labels the angle. O does not label anything and so we can cross it out.
3. Decide which method is correct
We are using the SOH CAH TOA method, this means we can either use SOH, CAH, or TOA to solve the problem. We know which method to use by seeing which of them does not contain the letter we crossed out. CAH does not contain O so it is the correct method.
4. Know the formula
Now we will use the formula of our found method. CAH begins with C and so does Cos. Therefore, Cos is our formula.
Cos( ) = A/H
5. Substitute in your numbers
Then, we will put in our numbers into the formula. The first slot we must fill in is within the brackets. Usually the angle goes inside of the brackets during trigonometry but we obviously do not know it. This means we will use 'x' inside of the brackets. Our formula now looks like this:
Cos(x)
Substitute in A and H. A will be the information appointed to the side we labelled A. H will be the information appointed to the side we labelled H.
Our formula will look like this:
Cos(x) = 7/12
6. Reverse it and calculate
Now we need to input an equation into our calculator. I don't know why but we will need to reverse our previous formula and type it into the calculator as:
cos-^1(7/12)
The result should say 54.31466529.
7. Round
Now we will round it by 1 decimal place. To do this we need to look at the number next to 3, it is not 5 or above 5. This means we will not round up,
our answer is 54.3 degrees.
Related Questions
Which exponential functions have been simplified correctly? Check all that apply.
f(x) = 53/16* = 5(23/2)*
F(x) = 2.310 Ž* = 2.3(43*
F(x)=81-34
OfW) = 27' = (3/3)*
Orx)=(24) ** = 2(13)
Answers
Answer:
A, C, and D are the exponential functions that have been simplified correctly
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
Answers
can you please help me!!!! thank you
Answers
Answer:
V = J = 92
Step-by-step explanation:
The angles are the same on both shapes.
26 is 65% of what number?
Answers
Answer:
40
Step-by-step explanation:
26 is 65% of 40
Which expression is equivalent to 3y+4+y
Answers
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answers
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
ill mark brainlist plss help
Answers
Answer:
222 ft
Step-by-step explanation:
add 15 ft to each side of the length and width
L = 28 + 30 = 58
W = 23 + 30 = 53
perimeter = 2(L + W) = 2(58 + 53) = 222 ft
Answer:
222 ft
Step-by-step explanation:
The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing
Please help me with this question!
Answers
Goran needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answers
Brand B 2.69/25 = .1076 rounds to .11 cents each
Brand A is the better buy because it is cheaper
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answers
Answer:
4
Step-by-step explanation:
because
8÷2=4
16÷4=4
24÷6=4
32÷8=4
The slope of a line is 1/3.
What is the slope of a line perpendicular to this line?
Answers
Answer:
-3
Step-by-step explanation:
Slopes of a perpendicular line are the opposite reciprocal.
So, the opposite of 1/3 is -1/3.
Then the reciprocal of -1/3 is -3 (since -3 is -3/1).
Explanation:
See image
Bro pls help em bro pls help me bro
Answers
Answer:
Step-by-step explanation:
15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps
Answers
Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
What is the height of cylinder pictured below?
144
12
8
54
Answers
Answer:
B. 12 in.
Step-by-step explanation:
Diameter = 5 in.
Diagonal = 13 in.
Apply Pythagorean theorem to find the height of the cylinder.
Thus:
13² - 5² = height²
144 = height²
√144 = height
12 in. = height
Answer:
B. 12 in.
Step-by-step explanation:
whoever gets this correct first gets brainlest !!!
Answers
Answer:
9.9
Step-by-step explanation:
The quadrilaterals are similar by a factor of 3.
help me please. need it asap
Answers
Answer:
X=-1
Y=-8
hope this helps!
Step-by-step explanation:
plz help, Randy is fencing off a semi-circular region in his backyard against a wall. The semi-circular region has a diameter of 24 feet. The fencing will go along the arc only. How much fencing does Randy need?
Answers
Answer:
[tex]Fence = 41.408ft[/tex]
Step-by-step explanation:
Given
[tex]d = 24ft[/tex]
Required
Determine the length of the wall
First, we calculate the circumference (C) of the semi-circle
[tex]C =\pi d[/tex]
[tex]C = 3.142 * 24[/tex]
[tex]C = 75.408[/tex]
The length of the fence is calculated by subtracting the diameter from the circumference:
[tex]Fence = C - d[/tex]
[tex]Fence = 75.408ft - 24ft[/tex]
[tex]Fence = 41.408ft[/tex]
A square is 5 inches on each side. A small square, x inches on each side, is cut out from each corner of the original square. Represent the area of the remaining portion of the square in the form of a polynomial function A(x).
Answers
Answer:
A(x)= (5×5)-[4(x×x)]Hope this helps!Amelia receives two dozens roses for her birthday. 18 of the roses are pink what percent of the roses are pink
Answers
18/24 = pink roses... 75% of the roses are pink.
Does anybody know what measures a, b, and c would be?
Answers
Answer: A = 28 B = 47 C = 105 in degrees
Step-by-step explanation:
OKAY JUST A DISCLAIMER:
I did Geometry last year and the concepts are basically gone but I think I remember how to do this one
So I think one of the theorems stated that the inner angle is half of the outer arc.
So.. angle a would be 56/2 = 28
Angle b would be 94/2 = 47
Angle C is a vertical angle to the angle in the triangle, so it would be 180-47-28=105
Which two types of lines only meet inside the triangle?
Answers
Answer:
angle bisectors and opposite side perpendiculars
Step-by-step explanation:
I NEED HELP NOW PLZZ!!
Answers
Answer:
option C is the correct option!!
Which function is graphed below?
Answers
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answers
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
Find the median of 6,2,0,1,1,2,3,2,0,2,3,4,2,3,5
Answers
Median = Middle
First, arrange the numbers from lowest -> highest
This would be:
0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 6
Now, strike off one number from each side (so 0, then 6, then 0, then 5) until you are only left with one or two numbers.
If you are left with one number, that is your median!
If you are left with two numbers, than you add them together, then divide that number by 2 (for example if you were left with 7 and 8, 7+8=15. 15/2=7 1/2)
In this case, you are left with one number, 2, so 2 is your median.
I hope this helped!
Answer:
2
Step-by-step explanation:
The median is the middle number when the numbers are lined up from least to greatest or greatest to least.
First, the numbers must be lined up from least to greatest.
0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 6
Then, find the middle number.
The middle number is 2.
What is the measure of ∠UVW in the triangle shown?
Question 19 options:
A)
140°
B)
50°
C)
60°
D)
10°
Answers
Answer:
50°
Step-by-step explanation:
Given that a triangle measures 180°.
∠U =40°
∠W=90°
Sum:130°
180°-130°=50°
PLEASE HELP
If Joey can run 24 miles in 6 hours, how many miles
can he run in 2 hours? SHOW YOUR WORK! (Hint:
Use equivalent ratios/fracción
Answers
Answer:
8 miles
Step-by-step explanation:
24 miles/6 hours = 4 miles per hour
4 miles per hour x 2 hours = 8 miles
Answer:
8 miles
Step-by-step explanation:
24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.
Find the area of the shape
Answers
Answer:
I think the answer is 672 please be right
(14-8=6)
So 6x6 =36
48+36=84cm^2
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Answers
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answers
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3