Solve for the unknown in the following diagram. Round the answer to two decimal places.
degrees
Answers
Answer:
x = 63.28°
Step-by-step explanation:
A = 33°
a = 175 mm
C = x
c = 287 mm
Use the Law of Sines to find x
Thus:
[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]
Plug in the values
[tex] \frac{175}{sin(33)} = \frac{287}{sin(x)} [/tex]
Cross multiply
[tex] 175*sin(x) = 287*sin(33) [/tex]
Divide both sides by 175
[tex] sin(x) = \frac{287*sin(33)}{175} [/tex]
[tex] sin(x) = 0.893208017 [/tex]
[tex] x = sin^{-1}(0.893208017) [/tex]
x = 63.28° (2 decimal places)
Related Questions
Find the measure of line segment AB.
Answers
Answer:
Measurement of AB = 8.6 units (Approx.)
Step-by-step explanation:
Given:
Coordinate of point A = (3 , 9)
Coordinate of point B = (8 , 2)
Find:
Measurement of AB
Computation:
Distance = √(X1 - X2)² + (Y1 - Y2)²
Measurement of AB = √(3 - 8)² + (9 - 2)²
Measurement of AB = √25 + 49
Measurement of AB = √74
Measurement of AB = 8.6 units (Approx.)
Marissa launches a toy rocket in her backyard. The path of the rocket is
modeled by the equation h = 18t - 3t, where h is the height in feet, and t is the
time in seconds since the rocket was launched.
Answers
Answer:
maybe u should have paid attention in class buddy
Step-by-step explanation:
L
Helpp me pls ,, 15 points given !!
Answers
Answer: The answer is B
Step-by-step explanation:
2+2 I need help with this, please
Answers
Answer:
4
Step-by-step explanation:
2 cookies + 2 cookies = 4 cookies!
The more cookies the better!
A recipe for chocolate chip cookies calls for 1 1/4 cups of flour .If you are making 2 1/4 recipes,how many cups of flour are needed?
Answers
Answer:
2 11/12 cups of flour
Step-by-step explanation:
2 recipes are 2 1/2 cups of flour
1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12
So, 2 11/12 cups of flour
Find the inverse of g(n) = - 3 - 1
Og-1 (n) = -(n-3)-1
9
9-1 (n) = In
g-1 (n) = (n + 1)3 + 3
Og-1 (n) = 3+n3
Answers
Answer:
[tex]g'(n) = -\frac{n+1}{3}[/tex]
Step-by-step explanation:
Given
[tex]g(n) = -3n - 1[/tex]
Required
Determine the inverse
[tex]g(n) = -3n - 1[/tex]
Replace g(n) with y
[tex]y = -3n - 1[/tex]
Swap positions of x and y
[tex]n = -3y - 1[/tex]
Make y the subject
[tex]3y = -n - 1[/tex]
[tex]3y = -(n + 1)[/tex]
[tex]y = -\frac{n+1}{3}[/tex]
Replace y with g'(n)
[tex]g'(n) = -\frac{n+1}{3}[/tex]
gkhoflkhlxrtuu;tdu8rp5[\78u
Answers
Answer:
What???
Step-by-step explanation:
Answer:
????
Step-by-step explanation:
The volume of a cube is 125 inches cubed. What is the length of each side?
Answers
Answer:
5
Step-by-step explanation:
Explanation: All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.
at a sporting event, you can buy 5 hot dogs and 2 drinks and spend $19. you could have also purchased 3 hot dogs and 4 drinks and sprnt $17. How much money did a hot dog cost? how much money did a drink cost?
Answers
plz help me this work is hard
Answers
6 (x + 4) = 48
please help!!
Answers
Answer:
x = 4
Step-by-step explanation:
6(+4)=48
6+24=48
6+24=48
6+24−24=48−24
6=24
6=24
6/6=24
...
What did I forget to do in this question? What should the answer be?
Use only Quadratic Formula
[tex] {7x}^{2} + 9x + 2 = 0[/tex]
[tex] {x}^{2} + 9x + 14 = 0[/tex]
[tex](x + 7)(x + 2) = 0[/tex]
x= -7,x=-2
Answers
The mistake is in the first step. You seem to want to divide through by 7, but you only did it correctly with the x ² term. What you should have after doing this is
7x ² + 9x + 2 = 0
→ x ² + 9/7 x + 2/7 = 0
This step isn't actually necessary to begin with since the starting quadratic is easily factorized:
7x ² + 9x + 2 = (7x + 2) (x + 1) = 0
Then
7x + 2 = 0 or x + 1 = 0
7x = -2 or x = -1
x = -2/7 or x = -1
How many blue cars are there?
Answers
Answer:
45% Of the cars are there
because it says 45% so I am pretty sure that is it
help me help me going tight mabye next friday night going for a plane ride
Answers
Hope this helps :)
Look at the graph of the functions. Given the original function, what is a possible equation for the translated function, g(x)?
Answers
Answer: c
Step-by-step explanation:
answer the question in the pic below (math)
Answers
Answer:
46.95 in.²
Step-by-step explanation:
Surface area of the kaleidoscope = surface area of a triangular prism = 2(BA) + P*H
Base area (B) = 2(½*bh) = 2(½*1.5*1.3) = 1.95 in.²
Perimeter of base (P) = 1.5 + 1.5 + 1.5 = 4.5 in.
Height of prism (H) = 10 in.
Plug in the values
Surface area = 1.95 + 4.5*10 = 46.95 in.²
1 1/5 + 3 2/5
fractions
Answers
Answer:
4 7/15
Step-by-step explanation:
Hope this helps :)
A rectangular prism has a length of 11ft, a height of 4ft, and a width of 3ft. What is its volume, in cubic ft?
Answers
Answer:
132 ft³
Step-by-step explanation:
L=11 W=3 H=4
V=LWH
V=(11)(3)(4)
V=132 ft³
Can someone please help me with this!?
Answers
For which of the following graphs is y a function of x
Answers
Answer:
can you give us the whole sheet?
Step-by-step explanation:
Find the measure of a 2.
45 135
62 = [?]
Answers
Answer:
45
Step-by-step explanation:
Find the value of 3x for x=3
Answers
Answer:
9
Step-by-step explanation:
X MULTIPLIED BY 3 EQUALS 9 SINCE X=3
Answer:
9
Step-by-step explanation:
x=3
3*3= 9
so value of 3x = 9
Derek has 2 feet of Tasty Cherry Rope. He plans on splitting it evenly between himself and 5 of his friends. How many inches of Tasty Cherry Rope does Dereck have? *
Answers
Alison and Tyrone each bought a slice of pizza in the shape of a right triangle as
shown. What is the area of each slice of pizza? Who has the larger slice?
Alison 5in-W. 6inL
Tyrone 3in L. 8 W
Alison's slice of pizza has an area of in.
Answers
Answer:
The area of Alison's pizza would be 30 in.
Activity 1
Fill in the missing number:
1. 34 533; 35 533 ; 36 533; 37 533; 38 533
2. 6475; 6 490;
3 6 520; 6 235; 6 250.
3. 55 455; 55 470;
Answers
Answer:
3 6 520; 6 235; 6 250.
Evaluate the iterated integral 2 0 2 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are faced with the task of first evaluating sin(y2) dy. But it's impossible to do so in finite terms since sin(y2) dy is not an elementary function. So we must change the order of integration. This is accomplished by first expressing the given iterated integral as a double integral. Using this equation backward, we have 2 0 2 x sin(y2) dy dx
Answers
Answer:
Step-by-step explanation:
Given that:
[tex]\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\ \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\ where; \\ \\ D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}[/tex]
[tex]\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}[/tex]
[tex]\text{Now, above equation gives room for double integral in reverse order;}[/tex]
[tex]\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy \\ \\= \int^2_0 ( y -0) \ sin (y^2) \ dy \\ \\ = \int^2_0 y \ sin (y^2) \ dy \\ \\ y^2 = U \\ \\ 2y \ dy = du \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du \\ \\ = - \dfrac{1}{2} \Big [cos \ U \Big]^2_o \\ \\ = - \dfrac{1}{2} \Big [cos \ (y^2) \Big]^2_o \\ \\ = - \dfrac{1}{2} cos (4) + \dfrac{1}{2} cos (0) \\ \\[/tex]
[tex]= - \dfrac{1}{2} cos (4) + \dfrac{1}{2} (1) \\ \\ = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\ = \mathbf{0.82682}[/tex]
Pls somebody that knows this answer it please
Answers
Answer:
Im pretty sure it is 48 but it could be 96
Step-by-step explanation:
I just found the area and halved that.
MUST HELP!!!! (50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
The ratios of the _______________________of the objects is 2.4.
*use the words below to fill in the blank*
Equal, 2.4, point of dilation, Scale factor, perimeters, (7.2,4.8), Enlargement, areas, (4.8, 9.6)
Answers
Help me please I’ll give brainliest!!
Answers
Answer:
Step-by-step explanation:
Divide the pentagon radially into 5 congruent, isosceles triangles.
Area of one triangle = ½×7.2×4.955 = 17.838 mm²
area of pentagon = 5×17.838 mm ≅ 89.2 mm²
e) que características tienen las gráficas que representan una relación de proporcionalidad directa entre la cantidad de agua en la cisterna y el tiempo del servicio?
f) escriban las expresiones algebraicas de las relaciones que son de proporcionalidad ¿en qué son diferentes?
g) ¿qué representan esas diferencias
Answers
Answer:
here is a videos look it up on you tube and it might help
Step-by-step explanation:
search this
Interpreting graphs of proportional relationships