Answer: 123.3364311 degrees approximately
Round that value however your teacher instructs.
==========================================================
Explanation:
Use the law of cosines to find side b
[tex]b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 43^2 + 19^2 - 2*43*19*\cos(35)\\\\b^2 \approx 871.5055596\\\\b \approx \sqrt{871.5055596}\\\\b \approx 29.521273\\\\[/tex]
Now use the law of sines to find angle A.
[tex]\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\\\\\frac{\sin(A)}{43} \approx \frac{\sin(35)}{29.521273}\\\\\sin(A)\approx 43*\frac{\sin(35)}{29.521273}\\\\\sin(A) \approx 0.8354581\\\\A \approx \sin^{-1}(0.8354581) \text{ or } A \approx 180-\sin^{-1}(0.8354581)\\\\A \approx 56.6635689^{\circ} \text{ or } A \approx 123.3364311^{\circ}\\\\[/tex]
Due to the side angle side (SAS) congruence theorem, we know that only one triangle is possible (notice angle B is between sides 'a' and c). This means only one of those values for angle A is possible.
The question is: Which one?
Well if you were to use the converse of the pythagorean theorem, then you'll find that the triangle is obtuse.
For any obtuse triangle, the longest side is always opposite the obtuse angle (aka the angle over 90 degrees). The side a = 43 is the longest side of this particular triangle.
This means angle A must be obtuse and the only possibility is that angle A = 123.3364311 degrees approximately.
Has anyone took the parametric functions test part 1 for pre calculus ???? if so do you remember the answers??? offering lots of points
Answer:
No I dont, and this is only 5 pts
Step-by-step explanation:
Write the coordinate pair (x,y) for each of the following
Find the surface area of a square pyramid or it’s side length 5m and. Slant height 4m
Answer:
h = height s = slant height a = side length P = perimeter of base e = lateral edge length r = a/2 V = volume L = lateral surface area B = base surface area A = total surface area
A = 72.17 m2
Step-by-step explanation:
hope this helped!
Members of a baseball team raised $1592.50 to go to a tournament. They rented a bus for $844.50 and budgeted $68 per player for meals. Determine the number of players the team can bring to the tournament.
Answer: Assume p to be the number of players, then, the equation which describes this problem is,
844.50+ 68 p = 1592.50844.50+68p=1592.50
68 p = 74868p=748
p = 11p=11.
The number of players, the team can bring to the tournament are 11.
Step-by-step explanation:
Answer: They can bring 11 players to the tournament.
Step-by-step explanation:
$1592.50 - $844.50= $748
Divide $748 by $68, then you will get 11. And 11 will be the answer.
The garden shown at right is divided into two section by a fence. If the quadrilateral section is a square, what is the square area? (6ft : 8ft)
The area of the triangle is 24 ft² while the area of the square is 64 ft²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Area of triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²
Area of square = 8 ft * 8 ft = 64 ft²
The area of the triangle is 24 ft² while the area of the square is 64 ft²
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help me find the slope of the roof plss
Answer:
The slope of the roof is 2ft / 6ft = 1ft / 3ft
Step-by-step explanation:
slope = rise / run
rise is the increasing height = 2ft
run is the length = 6ft
slope = 2ft / 6ft this can be simplified to 1ft / 3ft
The diameter of the center circle on a soccer field is 20 yards. What is the area of the circle?
Answer: pie × r² = 314
Step-by-step explanation:
3.14 ×10 × 10 where r is diameter/2
How many minutes did Todd use in October
Answer:
100 minutes cost Todd $24. He had extra bill of 26.38 - 24 = $2.38
$2.38 = 238 cents
7 cents billed for 1 extra minute
1 cents billed for 1/7 extra minute
238 cents billed for 238/7 = 34 extra minutes
total minutes = 134 minutes
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 8% per day. Determine the mass of the radioactive sample at the beginning of the 17th day of the experiment. Round to the nearest tenth (if necessary).
Answer: 339.3 grams
Work Shown:
y = 1400(1-0.08)^x
y = 1400(1-0.08)^17
y = 339.25097192703
y = 339.3
What is the volume of this figure?
Enter your answer in the box.
Answer:
Pls list the figure-
Step-by-step explanation:
If you dont list it we cant help you if its a cube just multiply the sides
Does anybody know this?Find the area of the shaded region if PA=7 inches and PB=4 inches
Hi Student!
The first step that we must take before attempting to solve the problem is to gather important information. Looking at the problem we are given two lengths, PA and PB. These two lengths make up the radius of two different circles which we will need to find the area for both of them. The other important information that we must take in is that we are trying to determine the area of the shaded region.
Now that we have our important information concluded, let's move onto solving the problem. We know that we are trying to determine the area of the shaded region which means that we will need to do some subtraction between the total area of the larger circle and the total area of the smaller circle.
Area of a Circle Formula
[tex]A=\pi*r^2[/tex]Plug in the information
[tex]Shaded\ Region = Larger\ Circle - Smaller\ Circle[/tex][tex]Shaded\ Region = (\pi *PA^2)-(\pi*PB^2)[/tex][tex]Shaded\ Region = (\pi *(7\ in)^2)-(\pi*(4\ in)^2)[/tex]Simplify the exponents
[tex]Shaded\ Region = (\pi *49\ in^2)-(\pi*16\ in^2)[/tex]Subtract
[tex]Shaded\ Region = 49\ in^2*\pi-16\ in^2*\pi[/tex][tex]Shaded\ Region = 33\ in^2*\pi[/tex]Therefore, our final answer would be that the shaded region is 33 inches squared times pi which is best described in Option D. We got this after subtracting the area of the smaller circle from the area of the larger circle which provides us with the area of the shaded region.
A particular type of bacteria splits into 2 every 30 minutes. There are 8 bacteria in the petree dish when you start your shift of looking after the culture. Write an exponential function B(t) where t is the time periods elapsed and B is the number of bacteria.
The probability that mary picks a yellow marble out of a bag of marbles is 0.35. there are 500 marbles in the bag. work out how many yellow marbles there are.
Answer:
175
Step-by-step explanation:
500*.35
What is square root of pi^2 = ?
Answer:
Pi
Step-by-step explanation:
The square root and exponent cancel each other out.
Fin the area of the polygons
Answer:45
Step-by-step explanation:
First, you need to calculate the area of the square.
(LxW)= 25.
Then, calculate the area of the triangle
(1/2BH)=5x(8/2)=5x4=20
Now, just add 20+25= 45
Please mark me brainliest :)
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
C
Step-by-step explanation:
Since the denominators are the same, you just need to add 3 + 1. This gives you 4, combining with the denominator, will give you 4/4, which equals 1.
2. What are the x-intercepts of the graph of the function defined by (x - 2)(2x + 1)? A. (2,0) and (-1,0) B. (2,0) and (1,0) C. (-2,0) and (1,0) D. (-2,0) and (-1,0)
The x-intercepts of the graph of the function defined by (x - 2)(2x + 1) will be at (2,0) and (0.5,0).
what is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at x-axis.
Here we are having an equation:-
(x-2)(2x+1)=0
2x²+x-4x-2=0
2x²-3x-2=0
2x²-4x+x-2=0
2x(-1)(x-2)=0
x=2 x=0.5
Hence the x-intercepts of the graph of the function defined by (x - 2)(2x + 1) will be at (2,0) and (0.5,0).
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A wheel has a radius of 4 inches and travels as it spins. How far does the wheel travel
in one revolution? Round your answer to the nearest inch.
Use the pi (T) on the calculator.
Use formula for circumference to figure out the answer: C = 277 (or) C = ad
The distance a tire travels is equal it it’s circumference.
circumference = pi x radius x 2
Circumference = 25.13 inches
Rounded to nearest inch = 25 inches
If MNPQ is a quadrilateral, what is angle MQP
Answer:
62°Step-by-step explanation:
angle M = angle Q
(An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.)
so
Angle Q = 30 + 32
Angle Q = 62°
A.point 1
B.point 2
C.point 3
D.point 4
E.point 5
Answer: Point 2, because Point B will have shrunk slightly if dilated by a factor that is a fraction.
3) Emily bought some wrapping paper for Christmas that was 2 feet long and 8 feet wide. What is the area of the wrapping paper she bought?
Answer:
16 ft
Step-by-step explanation:
lengh x width = A
2 x 8 = A
16 = A
I'm taking a test and don't know how to solve this problem :')
The triangle PSQ is an isosceles triangle, and the area of the triangle PSQ is 1360.62 square units
How to determine the area?The given parameters are:
PS = SQ
Perimeter, P = 50
SQ - PQ = 1
The perimeter is calculated using:
PS + SQ + PQ = 50
This gives
2SQ + PQ = 50
Make SQ the subject in SQ - PQ = 1
SQ = 1 + PQ
So, the equation 2SQ + PQ = 50 becomes
2(1 + PQ) + PQ = 50
Expand
2 + 2PQ + PQ = 50
Evaluate like terms
3PQ = 48
Divide by 3
PQ = 16
Substitute PQ = 16 in SQ - PQ = 1
SQ - 16 = 1
So:
SQ = 17
The area is then calculated using:
A = √[P * (P - PS) * (P - SQ) * (P - PQ)]
This gives
A = √[50 * (50 - 17) * (50 - 17) * (50 - 16)]
Evaluate
A = 1360.62
Hence, the area of the triangle PSQ is 1360.62 square units
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SOMEONE HELP I DON'T UNDERSTAND :(
4) Solve for x and find the measure of angle zxy
Answer:
Angle zxy = 55 degrees, x = 12
Step-by-step explanation:
Since the angle WXY is labeled as a right angle from the square in the angle, and angle WXZ is 35 degrees, we know that angle ZXY must be 55 degrees, because 55+35 = 90. Then to solve for x, we use the measure of angle ZXY to construct the equation 4x+7 = 55. subtract 7 from both sides to get 4x = 48, then divide both sides by 4 to arrive at the answer of x = 12.
find the length of the arc.Round your answer to the nearest tenth
Find the circumference:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 9 = 56.52 inches
the arc length is 45 degrees/360 degrees of the circumference.
Marc length = 56.52 x 45/360 = 7.065 inches
Rounded to the nearest tenth = 7.1 inches
Divide. 58)48,894
please help
Hi~!
Answer:
843
Step-by-step explanation:
We know that 58 is a even number, and so is 48,894. So we can check this by multiplying 843, which is th number I got when I divided it, and multiply that by 58, then we get 48,894.
I hope this helps!~ :)
Answer:
843
Step-by-step explanation:
In long division, first take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor, then divide it by the divisor and write the answer on top as the quotient. After, subtract the result from the digit and write the difference below. Bring down the next digit of the dividend (if present). Lastly, repeat the same process.
00,843
58)48,894
- 464 ↓↓
----------------
249 ↓
- 232 ↓
----------------
174
- 174
-----------------
0
From this, we can see that 58 goes into 48,894 843 times. In other words, 48,894 ÷ 58 is 843.
hope this helps!
Giving Brainyest to the person with the correct answer
Answer:
C. 6.475 is the answer
Multiply and show the steps on how to solve this
(2-3x) (3+8x)
Answer:
-24x² + 7x + 6
Step-by-step explanation:
(2 - 3x)(3 + 8x)6 - 9x + 16x - 24x²-24x² + 7x + 6Answer:
-24x²+7x+6
Step-by-step explanation:
Rearrange terms
Rearrange terms
(2-3x)(3+8x)
(-3x+2)(3+ 8x)
(-3x+2)(3+ 8x)
(-3x + 2)(8x + 3)
3
Distribute
(-3x+2)(8x + 3)
-3x(8x + 3) + 2(8x + 3)
4
Distribute
-3x(8x + 3) + 2(8x + 3)
-24x2-9x + 2(8x + 3)
Distribute
-24x² - 9x + 2(8x + 3)
-24x² - 9x + 16x + 6
6
Combine like terms
-24x²-9x + 16x + 6
-24x²+7x+6
Solution
-24x²+7x+6
if tan of theta =3/4 what is sec of theta
Answer:
5/4
Step-by-step explanation:
Given :
tanθ = 3/4 = opposite/adjacentFinding the missing side :
The hypotenuse must be found√3² + 4²√255Taking the sec ratio :
secθ = hypotenuse/oppositesecθ = 5/4can you please factorise 10fz-25z
Answer:
5z(2f - 5)
Step-by-step explanation:
What is the greatest common factor of 10 and -25? Both can be evenly divided by 5. Thus, divide both numbers by 5 and place the 5 outside of the parentheses.
(10fz - 25z) -----> 5(2fz - 5z)
Next, do the two terms share any variables? Both are multiplied by "z". Thus, you can divide each term by "z" and place it outside of the parentheses.
5(2fz - 5z) -----> 5z(2f - 5)
The terms no longer share any common factors. Therefore, your final answer is: 5z(2f - 5).
Please help! 25 points
Answer:
C.
Step-by-step explanation:
