Given:
The sides of each brace have lengths 63 feet, 46 feet, and 40 feet.
To find:
The measure of the angle opposite the 46 foot side.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
We need to find the measure of the angle opposite the 46 foot side. So, [tex]a=46[/tex] and the other sides are [tex]b=63,c=40[/tex].
[tex]\cos A=\dfrac{(63)^2+(40)^2-(46)^2}{2(63)(40)}[/tex]
[tex]\cos A=\dfrac{3969 +1600-2116}{5040}[/tex]
[tex]\cos A=\dfrac{3453}{5040}[/tex]
[tex]\cos A=\dfrac{1151}{1680}[/tex]
Taking cos inverse on both sides, we get
[tex]A=\cos^{-1}\dfrac{1151}{1680}[/tex]
[tex]A=46.75503[/tex]
[tex]A\approx 47[/tex]
Therefore, the measure of the angle opposite the 46 foot side is 47 degrees.
Order from least to greatest.
3/5
8/10
1/2
6/10
2/5
Answer:
1/2 2/5 3/5 6/10 8/10
Step-by-step explanation:
Answer:
2/5, 1/2, 3/5, 6/10, 8/10
Step-by-step explanation:
2/5 = 0.4
1/2 = 0.5
3/5 = 0.6
6/10 = 0.6
8/10 = 0.8
Consider this equation.
tan() = -1
If & is an angle in quadrant II, what is the value of sin()?
ΟΑ. .
5734
34
5734
34
ОВ.
O c.
3V34
34
3V34
34
D.
Answer:
I know u saw me before but the answer is B hope it helps! =)
Answer:
the 5v34 without the minus sign
Step-by-step explanation:
Order these numbers from greatest to least: 425
4
25
, 0.40, 4%, 38%.
Answer:
425, 25, 4, 0.40, 38%, and 4%.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Answer:
425, 25, 4, .40, 38%, 4%
Step-by-step explanation:
38% is equal to .38 and 4% is equal to .04
they're less than .40 so they are at the end.
What is the multiplicative rate of change of the
function?
O 2/3. O 3/4. O 4/3. O 3/2
Answer:
3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
I did the test.
Bella surveyed the first 15 students in the lunch line.
Is this sample of the students in the school likely to be representative?
yes
no
Answer:
No
Step-by-step explanation:
Only people in the lunch line got surveyed, that on it's own is biased.
Only 15 people out of the entire school.
Only the first people got surveyed.
Please I need help ASAP 40. Points
Total owed = starting amount x( 1 + interest rate) ^ time
The equation would be total = 550(1.12)^x where x is the number of months.
Replace total with 550x2 = 1100 and solve for x
It will double in 6.11 months. Round to 6 months
Find the mean of the following data set
73, 81, 51, 76, 89, 95, 88
Answer:
[tex]mean = \frac{(73 + 81 + 51 + 76 + 89 + 95 + 88)}{7} \\ = 79[/tex]
Answer:
79
Step-by-step explanation:
What is mean? The mean is the same as an average. To find the mean, add all the letters together. Then, divide this sum by the total amount of numbers.
Step One: 73+ 81+51 +76+ 89+ 95+88= 553
Step Two: Divide by numbers, in this case, there are 7: 553/7= 79.
There you go!
Find the sum of 6x2 – 1 and x + 9.
Please find the attached photograph for your answer.
A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shadow that is 3 feet long. Use this information to complete the statement about the lighthouse. Lighthouse has height of question mark feet; shadow is 36 feet. Both form right triangle. Man is 4 feet; his shadow, 3 feet. Man and shadow form corresponding right triangle. what is the height of the light house
Answer:
Explanation:
Someone help?
Wanda feeds her 3 dogs 1/4 of a can of food per meal. She feeds each of her dogs twice a day. If Wanda has 12 cans of food, is it true that she can feed her dogs for at most 6 days?
Answer:
yep, 1.5 x 6 =9. 12-9 = 3 can leftover
What is the surface area of a die in which each edge has a length of 15 millimeters? (Hint: On a cube, the length, width, and height have the same measure.)
1,350 mm2
450 mm2
180 mm2
1,687.5 mm2
Answer:
A. 1,350 mm 2
Step-by-step explanation:
Item 1
What is the radius of the button?
button is 26
Radius:
mm
Answer:
radius is 13
Step-by-step explanation:
The radius is half of the diameter
Answer:
Step-by-step explanation:
What is the raduis of 26 on a button
If MO bisects angle PMN, the measure of angle PMN equal 74 and the measure of angle OMN equals 2x + 7, find the value of x
Answer:
x = 15
Step-by-step explanation:
Bisects means divide in two equal parts.
Therefore, 74/2 = 37
37 = 2x+7
30 = 2x
15 = x
x = 15
ILL GIVE BRAINLEST AND 50 PTS!
what is the area of this parallelogram?
36cm^2
67cm^2
77cm^2
98cm^2
Answer:
dont yu multiply them all
Step-by-step explanation:
Can someone please help me asap extra brainly points !!!
Answer:
56.52
Step-by-step explanation:
Circumeference Equation=2πr
Consider the equation y=97x+8000, what is the y-intercept?
Answer:
8000
Step-by-step explanation
who would like some points? 23x23x23x23x23x23x23x23
first correct answer = brainliest
Answer:
78310985281
Step-by-step explanation:
can somebody please help me
Answer:
201.06
Step-by-step explanation:
The volume of a cylinder is the area of the base ([tex]\pi 2^2[/tex]) times the height (16).
Answer:
V = 201 ft^3
Step-by-step explanation:
[tex]v = \pi {r}^{2} \times h \\ v = 3.14 \times {2}^{2} \times 16 \\ v = 200.96 \\ v = 201 \: \: {ft}^{3} [/tex]
I hope that is useful for you :)
the volume of a sphere is 4851 cubic cm find its diameter
Answer:
The diameter is 21 cm
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³, or (in terms of the diameter) V = (4/3)π(d/2)³. This simplifies to
4πd³ πd³
V = ----------- = -----------
3·8 6
Now equate V = (πd³/6) to 4851 cm³. We must first solve this for d³ and then take the cube root of the result:
πd³ = 4851(6) = 29106.
Dividing this result by π yields 9264.7,
and taking the cube root of this is 21. The diameter is 21 cm
Based on the graph, what does the point (2, 60) represent?
A.
The plant grew 60 cm in 2 days.
B.
The plant grew 30 cm in 2 months.
C.
The plant grew 2
Answer:
The plant grew 60 cm in 2 months.
Step-by-step explanation:
The point is at 2,60
someone please please help me with this ! I would really appreciate it
Answer:
1. The right triangles pass the AA similarity congruence theorem.
2. s/q
Step-by-step explanation:
They are similar since they pass the AA( Angle-Angle) similarity theorem.
Similar triangles have corresponding proportional sides so side z corresponds with side s and side x corresponds with q so we would represent that as
s/q
HELP ME I WILL GIVE BRAINLY IF I WAS BORN SEPTEMBER 13th and I WAS 16 WHAT YEAR WAS I BORN
Answer:
2004
Step-by-step explanation:
if it was 2005 theyd be 15
convert 4x+2y=8 into y=mx+b form.
Answer: y = − 2 x + 4
Step-by-step explanation:
GIVING BRAINLIEST AND THE REST OF MY POINTS! PLS HELP :((
Paula is planning a dinner dance. She wants to keep the ticket price as low as possible.
Band A: charges $600 to play for the evening
Band B: Charges $350 plus $1.25 per student
After how many students would it be better to hire Band A?
Answer:
After 200 students, it would better to hire Band A
Step-by-step explanation:
350+ 1.25x = 600
1.25x = 250
x = 200
at 200 students the cost is the same for Band A and Band B
at 201 students Band A will be cheaper then Band B
A central angle of a circle measures π/3 radians.The length of the minor arc intercepted by this central angle is 7 inches. Find the length of the radius of the circle.
9514 1404 393
Answer:
6.68 in
Step-by-step explanation:
The length of an arc is given by ...
s = rθ . . . . θ in radians
Then the radius is ...
r = s/θ
r = (7 in)/(π/3) = 21/π in ≈ 6.6845 in
The radius of the circle is about 6.68 inches.
Answer:
Solution :-Angle of circle = π/3 r
Length of minor arc = 7 in
Now
We know that
Radius = Length/Angle
Radius = 7/(π/3)
Radius = 7/π × 3
Radius = 21/π
[tex] \\ [/tex]
the circumference of a circle is about 50.24 inches.
the radius of the circle is ___ inches.
use 3.14 for pi.
Answer:
8
Step-by-step explanation:
50.24/3.14
= 16
16/2
= 8
Estimate, then add. Write each sum in the simplest form.
Answer:
add the fractions and then divide
Step-by-step explanation:
so you add the top two and then the bottem two and then after you get those two anwsers divide them
Can someone help me with this?
(142)² – (58)²
Answer:
16800
Step-by-step explanation:
142^2 (142 squared) is 142 x 142, which is 20164. 58 squared is 3364, and 20164 - 3364 is 16800. if you need a more in depth explanation just let me know!
Answer:
16800
Step-by-step explanation:
(142)² – (58)²
Follow the Pemdas order of operation;
Calculate the exponents first;
(142)^2=20164
=20164-(58)^2
(58)^2=3364
=20164-3364
Add and subtract( left to right)
20164-3364
=16800
Answered by NONE other than the #QUEEN herself aka #DRIPPQUEENMO!!
HOPE THIS HELPED!!!
8th grade math !!
g(x) = x+6/2
Determine for each x-value whether it is in the domain of g or not.
-6
0
2
Answer:All in domain
Step-by-step explanation:
Answer:all in domain
Step-by-step explanation:I did it on khan
