We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2
So,
cos 130 + cos 110 + cos 10
cos 130 + 2cos (110+10)/2 × cos( 110-10)/2
cos 130 + 2cos 60 × cos 50
cos ( 180 - 50 ) + 2cos60 cos 50
We know, cos ( 180 - A ) = -cos A
2cos 60 cos 50 - cos 50
Also, cos 60 = 0.5
2×0.5 cos 50 - cos50
cos 50 - cos 50
0 = RHS.
Hence proved
HELP PLEASE AND THANKYOU!!!!
Answer:
51.3
Step-by-step explanation:
Formula For Tan: tan (angle) = opposite/adjacent
Opposite = 10
Hypotenuse = 8
tan (x) = opposite/adjacent
tan (y) = 10/8
y = tan⁻¹ (10/8)
y = 51.3401917459099
y = 51.3 (rounded)
Tip: tan⁻¹ is inverse of tan.
Therefore, y = 51.3
Hope this helped! <3
3(3) + 3(2/3)......................
WILL GIVE BRAINLIEST
Find the equation of the line
perpendicular to y=-2x + 1 that
also intersects the point (8, 2).
y- Hx+ 1
Enter
Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
Can someone please help me on this? I've been trying for hours and can't seem to find the answer.
Answer: The area of the shape is 90 ft.
Step-by-step explanation:
Draw a line so the shape looks like a triangle and small rectangle.
First, we have to find the area of the rectangle.
Area of rectangle: length x width
The rectangle has a length of 6 ft and a width of 3 ft.
Area of rectangle: 6 x 3 = 18 ft
Now to find the area of the triangle.
Area of triangle: 1/2 x base x height
The triangle's base: 15 - 3 = 12
The triangle's height: 6 + 6 = 12
Area of the triangle: 1/2 x 12 x 12
= 1/2 x 144 = 72ft
To find the area of the entire shape you have to add the area of the rectangle and triangle together.
Area of shape = Area of rectangle + Area of triangle
A of shape = 18 ft + 72 ft
The area of the shape is 90 ft.
Hope that helped!
r/15≥-3 solve the inequality
Answer:
r≥-45
Step-by-step explanation:
r/15≥-3
Multiply each side by 15
r/15 * 15 ≥-3*15
r≥-45
A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at right angles to form eight vertices. The maximum capacity of a rectangular prism is calculated with the formula, V = l · w · h, where V = Volume and l = length, w = width, and h = height. Which of the following situations best models the maximum capacity of the rectangular box shown below? Select all that apply.
V = 250 x2y2 cubic units
V = (10 xy)(10 xy) cubic units
V = (5y)(2x)(10xy)cubic units
V = 100 xy cubic units
V = 100 x2y2 cubic units
Answer:
1 3 4 i think im not fully sure
Step-by-step explanation:
-4 > x - 3 find x in the equation
Answer:
X= -1
Step-by-step explanation:
A bag contains 4 white tiles and 8 black tiles. You select one tile at random from the bag. What is the probability that you select a black tile?
Answer:
p( black) = 2/3
Step-by-step explanation:
4 white + 8 black = 12 tiles
P ( black) = number of black / total
= 8 /12
= 2/3
A florist received a shipment of 16 dozen roses. The original order was for 20 dozen. What percent of the order did NOT arrive?
Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Hope this helps :)
HHELLPPP PLEASW HIRRY I WILL MARK BRAINLIEST
Answer: 1/36
Step-by-step explanation: 18 x 18 = 324
3 x 3 = 9
9/324 = 3/108 = 1/36
Answer:
1/36! good luck! :D
Step-by-step explanation:
Which is the simplified form of the expression
2
(2-3)(x+3)(2)
(4-2)(x4)(13)
?
Answer:
x= 5 whole number and 2/15
Step-by-step explanation:
Answer questions 3,4, and 7.
Do any of you know this??
Answer:
wouldn't be 70°?
Step-by-step explanation:
30 + 40 = 70
solve for brain list asap
Answer:
i believe the answer to this x=8
The quotient of 56 and a number
Answer:
yes
Step-by-step explanation:
Name the theorem that lets you conclude that triangle and = cbd
what's the ratio for 3 stars and 7 circles
Answer: 3:7
Step-by-step explanation:
There are 3 stars for every 7 circles, thus the ratio is 3:7.
Answer:
3 : 7.
Step-by-step explanation:
For every 3 stars, there are 7 circles. If 3 stars is written first, you'll need to write 3 first in your answer, and 7 second.
This is what it would look like: 3 : 7
With ratios, you could also write,
3 to 7
or
3 / 7
But 3 : 7 is most common :)
Giving brainliest 7th grade math HELPPP
Answer:
p(Green and Sedan) = 1/3
Step-by-step explanation:
Total number of outcomes = 6
[Green-Sedan, Green-Sedan, Green-Truck, Purple-Sedan, Purple-Sedan, Purple-Truck]
Possible outcomes = 2
Probability = possible outcomes / total number of outcomes = 2/6 = 1/3
HOPE THIS HELPS YOU
Answer:
5/6= the first one
Could you describe the expression 2(3+4) as a product of two factors?
the answer will be 10 just multiply the numbers
write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)
Given:
The endpoints of a diameter are (0,0) and (4,-6).
To find:
The equation of the circle.
Solution:
The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]
[tex]d=\sqrt{36+16}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Now, radius is half of the diameter.
[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]
[tex]r=\sqrt{13}[/tex]
Center of the circle is the midpoint of the endpoints of a diameter.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]
[tex]Center=\left(2,-3\right)[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,
[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]
[tex](x-2)^2+(y+3)^2=13[/tex]
Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].
A rectangular outdoor seating area has a length 5 feet greater than its width, w. Jonathan will increase both dimensions of the seating area by 3 feet. Which equation represents the new area, N, of the outdoor seating area?
A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats. Let A= the total number of animals. Let C = the number of cats.
I do not know what answer you are looking for, but A would be double the amount of C. Without the number of cats, I do not know the total number of animals, vice versa.
Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?
Answer:
$28.84
Step-by-step explanation:
That's for the first one that I found, the two other problems I don't know yet.
In a zoo theres 5 tigers, 4 lions, and 7 cheetahs. What is the ratio of Cheetah: Tiger?
7:4
4:7
5:7
5:4
7:5
Answer:
7:5
Step-by-step explanation:
there are 7 cheetahs and 5 tigers soooooo
Given the following list of numbers, find the mean. 5,6,12,2,5,12,14
Answer:
the mean is 8
Step-by-step explanation:
added them all together and divided by 7
The mean of numbers will be 8.
What is Addition?
The process of combining two or more numbers is called the Addition.
Given that;
The numbers are,
⇒ 5,6,12,2,5,12,14
Now,
Since, The numbers are,
⇒ 5,6,12,2,5,12,14
Hence, The mean = 5 + 6 + 12 + 2 + 5 + 12 + 14 / 7
= 56/7
= 8
Thus, The mean of numbers will be 8.
Learn more about the mean visit:
https://brainly.com/question/1136789
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what are all the terms which are equivalent to the slope in a proportional relationship
Answer:
13
Step-by-step explanation:
well if you add the first parts then undwe rate the next you will get 13
PLS ANSWER ASAP AND ILL MARK BRAINLIEST!
What is the volume of a cone with a radius of 3 feet and a height of 6 feet? Use 3.14 for pi. Round your answer to the nearest hundredth.
18.31 ft3
40.25 ft3
56.52 ft3
60.34 ft3
Answer:
56.52ft³ is the answer hope this helps
Answer:
3rd option hope this helps.
Step-by-step explanation:
Lisa bought 16 1/2 pounds of sand for her
child’s sandbox she was building. What is
this in ounces?
Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from
home. After 1 hour, she is 40 miles from home. What equation models her distance
from home, y, as a function of time, x? Show your work.
Answer:
Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from
Step-by-step explanation:
home. After 1 hour, she is 40 miles from home. What equation models her distance
from home, y, as a function of time, x? Show your work.
Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?
Step-by-step explanation:
I think 21 dollars is the answer