Answer:
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Given
[tex]\cos A = \frac{1}{2}[/tex]
Required
Determine [tex]\cos(\frac{1}{2}A)[/tex]
To do this, we make use of the following identity
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}[/tex]
Substitute: [tex]\cos A = \frac{1}{2}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}[/tex]
Solve the numerator
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}[/tex]
Rewrite as:
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}[/tex]
Take square roots
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).
Answer:
ratio 80:250
Step-by-step explanation:
there will be less people than babies
Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3
Answer:
[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]
The quadrilateral shown is a rectangle. What is measure zvw
Answer:
measure of zvm is 119°
Step-by-step explanation:
xvw+zvw=180°{straight angle}zvm=180-61=119°stay safe healthy and happy.What is the volume of the cylinder below? 9- 7 - 5 OA. 1757 units3 B. 2257 units3 C. 357 units3 D. 70n units3
Answer:
175 pi ^3
Step-by-step explanation:
The volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
Volume can be defined as a three-dimensional space enclosed by an object or thing.
As we know,
We can find the volume of the cylinder by using the given formula:
[tex]\rm V = \pi r^2 h[/tex]
The radius of the base r = 5 units
The height of the cylinder h = 7 units
[tex]\rm V = \pi (5)^2 (7)[/tex]
V = 25x7π
V = 175π cubic units
Or
V = 175π units³
Thus, the volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.
Learn more about the cylinder here:
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14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain
a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?
Answer:
2%
10%
66%
22%
Step-by-step explanation:
For the first one we just need to find the compliment of the union (.98) which is .02
Union formula:
A∪B=A+B-A∩B
We will let T= text and D= diagram
we know that
.98=.88+.32-T∩D
Solve and find that T∩D= .22
Only diagram: .32-.22= .1
Only text: .88-.22= .66
Text and diagrams is the intersection we found earlier or .22
Please help
Thanks I really need help and appreciate it
Answer:
umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments
Step-by-step explanation:
have a good rest of your day tho :) ❤
Find the area of the regular nonagon
Answer:
267.3
Step-by-step explanation:
area of a regular polygon =
(perimeter * apothem)/2
perimeter: 9 * 6.6 = 59.4
area: 59.4 * 9 = 534.6
534.6/2 = 267.3
area = 267.3
Ilus
Translate algebraic words to symbols.
Half of R subtracted from y cubed
A. 1/2R - y3
B. y3 - R/2
C. R/2 - 3y
D. 3/y - R/2
Answer:
[tex]\bold{B.\quad \ y^3-\dfrac R2}[/tex]Step-by-step explanation:
"half of R" it is: [tex]\dfrac R2[/tex]
"y cubed" it is: [tex]y^3[/tex]
Therefore, half of R subtracted from y cubed is: [tex]y^3-\dfrac R2[/tex]
SOMEONE PLEASEEEE HELPPPP
[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]
Solve by using substitution.
=3−8
=−4
Answer:
I'm going to assume that you meant y=3x-8 and y=-4
This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.
Hope I helped have a nice day :)
PLS HELP !!!!!!!
i rlly need this T__T
Answer:
(3,4) -> (8,3)
(-2,4) -> (3,3)
(-2,5) -> (3,4)
The triangle is translated 5 units to the right and 1 unit down.
Step-by-step explanation:
Add 5 to each x on the (x,y) coordinate and subtract 1 from each y.
The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?
Answer:
P = 48
4 + 4(two given lengths) = 8
48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)
40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm
math question 30 points if you answer
Answer:
Step-by-step explanation:
h(t) = - 16t² + 22t + 6
h = 13.5625 ft
slove the system of substitution
y=x-8
y=2x-4
Answer:
x + y = 4 , x − y = 2
x + 2 y = 4 , x − y = − 3
x 2 − y = 2 , 2 x − y = − 1
Step-by-step explanation:
Answer:
x=-4
Step-by-step explanation:
x-8=2x-4
+8 +8
---------------
x=2x+4
-2 -2
-----------
-x=4
-1 -1
----------
x=-4
for the bud to see... and one person to get poi.nts XD
so addison got banned yesterday but got her account back today and then drake got banned today
Answer:
WHAT!? THEY BOTH GOT BANNED?! HOW
I need this answered quick alot of points on the line here 2 pictures down below
Answer:
1.x=10 and x=−2.
2. the answer is x=7,-1
3.=3, =1
Step-by-step explanation:
1.Since it is a quadratic equation, then it has, at the most, two solutions because the square root of the variable has a positive and negative value. Thus, the solutions to the given equation are x=10 and x=−2.
2.Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. the you would simplify the equation.and the last thing that is to separate the equation.
3.-(-4)+/-sqrt(-4)^2-4^1^3/2*1,x=4+/-sqrt(-4)^2-4*1*3,x=4+/3sqrt16-4*1*3,x=4+/-sqrt16-12,/2*1,x=4+/-sqrt4/2*1,x=4+/-2/2*1,x=4+/2/2,x=4+2/2,x=4-2/2
Find the solution of the system of equations.
-2x-6y=8
-6x-6y=0
Obtuse can have right angles.
True or False
False. Obtuse is always greater than 90°.
Answer:
False
Obtuse triangles can't have right angles
Find the distance between the points (-4,9) and (5, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Submit
Answer:
15 unitsStep-by-step explanation:
The formula of a distance between two points:
[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}[/tex]
We have:
[tex]A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=\sqrt{(5-(-4))^2+(-3-9)^2}=\sqrt{9^2+(-12)^2}=\sqrt{81+144}\\\\=\sqrt{225}=15[/tex]
solve for x. enter you answer below as a fraction
Answer:
x=9/80
Step-by-step explanation:
Answer:
9/80
Step-by-step explanation:
[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]
[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]
[tex]5)\ x = \frac{9}{80}[/tex]
The scale shown is not balanced.
Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.
HELP PLEASEEEEE
Answer:
1 (100block)
5 (10block)
3 (1block)
Step-by-step explanation:
221-68=153
1x100=100
5x10=50
3x1=3
The amount that x = 53 needs to be to balance the scale.
What is an equation?The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.
We have an equation,
221 = x + 68
x = 221 - 68
x = 153
In 153,
1 is in place of hundred 100, 5 is in the place of 10 so, 50.
Therefore, x = 53 is the amount that needs to be to balance the scale.
To learn more about the equation;
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Giving brainlist to whoever answers
Answer:
c
Step-by-step explanation:
Answer:
your answer is option number C 9mm
which of the following are solutions to the equation below
Answer:
B & F
Step-by-step explanation:
(±√14 - 4)/3 =>
(√14 - 4)/3 or (-√14-4)/3
A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.
Answer:
look at the picture i sent......
Jordan scored 19 points during a basketball game. She made a total of 9 baskets.
If Jordan made only one-point free throws and three-point baskets, how many of each did she make?
A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets
Answer:
B) 4 one-point baskets: 5 three-point baskets
Step-by-step explanation:
(4 x 1) + (5 x 3) = 19
Answer:
B
Step-by-step explanation:
5x3=15
4x1=4
15+4=19
PLUS a total of 9 baskets.
Therefore, your answer is B
A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%
Answer: #444
Step-by-step explanation:
First find the original selling price of the article.
When sold for #372 the profit was 24%. Assume the original price is x.
372 = x + 24% * x
372 = 1.24x
x = 372 / 1.24
= #300
If he wanted to make a profit of 48% he should have sold for:
= Original price + (original price * 48%)
= 300 + (300 * 48%)
= #444
Can someone help me with this
Answer:
C
Step-by-step explanation:
1. Absolute values are in the shape of a V, so the answer is automatically C.
2. If you did not know that, you can see that the graph is a function because it passes the vertical line test. This rules out option A. By looking at the graph, you can see it passes the x-axis twice, meaning that it has 2 x-intercepts. This rules out option B. X-intercepts always have a y-coordinate of 0, so we can rule out option D. The only option left after this is C.
Help meeeeeeeeeeeeee
Answer:
36.87( round if needed(
Step-by-step explanation:
we know a side adjacent to the angle and opposite of the angle so we apply tangent function
[tex] \tan(x) = \frac{3}{4} [/tex]
[tex] \tan {}^{ - 1} ( \frac{3}{4} ) = 36.87[/tex]
Round if neededd
beau completed 2/5 of his science project on Friday and 1/3of the project on Saturday what fractional part of his project did she complete during these two days
Answer:
beau completed 2/5 of his science project on Friday
beau completed 1/3 of his science project on Friday
Now
he completed during these two days=1/3+2/5=11/15 part of his project
The product of (7x+2) and 20-3x/4
Please help me on this problem
Answer:
1. (7x+2)
2. 2 - 3x/4