Answers
Answer:
x = 16√3
y = 8√3
z = 24
Step-by-step explanation:
From the figure attached,
By applying cosine rule in ΔABD,
cos(45°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{z}{24\sqrt{2} }[/tex]
z = 24
By applying sine rule in ΔABD,
sin (45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{AD}{24\sqrt{2} }[/tex]
AD = 24
By tangent rule in ΔADC,
tan(60)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\sqrt{3}=\frac{AD}{DC}[/tex]
[tex]\sqrt{3}=\frac{24}{y}[/tex]
y = 8√3
Similarly, by sine rule in ΔADC,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}= \frac{AD}{AC}[/tex]
[tex]\frac{\sqrt{3} }{2}= \frac{24}{AC}[/tex]
AC = 16√3
x = 16√3
Related Questions
A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?
Answers
Answer:
[tex]44,826.72\ \text{pounds}[/tex]
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]
If water weighs 62.4 pounds per cubic foot, it means
[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]
So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].
How to solve this I need it done by tonight please
Answers
Step-by-step explanation:
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what is the mean of these numbers?
-54,-32,-70,-25,-65,-42
Answers
Answer:
-48
Step-by-step explanation:
-54+-32+-70+-25+-65,+42 = -288
-288÷6= -48
Determine if 20:14 and 80:56 is equivalent
Answers
Answer:
they are equivalent to 4
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
lets change it to a different question
does [tex]\frac{20}{14}=\frac{80}{56}[/tex]
What’s 10 percent of 40 percent
Answers
Answer:
4
Step-by-step explanation:
What is 10 percent of 40? = 4.
Answer:
0.04
Step-by-step explanation:
GIVING 50 points
FIND THE VALUE OF X
PLEASE HELP WITH WORK AND STEPS SHOW THANK YOU
Answers
Answer:
Step-by-step explanation:
1. 10^2+7^2=x^2
x=sqrt(149)
2. 21^2-19^2=x^2
x=sqrt(80)
3. This is all pythagorean theorem busywork, a^2+b^2=c^2 where c is the hypotenuse of the triangle. I think from my examples you should be able to figure the rest out.
plzz help me
Solve -24 = 6x. Show your work.
Answers
Answer:
x = -4
Step-by-step explanation:
-24 = 6x
________
Switch sides:
6x = -24
________
Divide both sides by 6:
6x/6 = -24/6
________
Simplify:
X = -4
Answer:x = -4
Step-by-step explanation:
Mr. McShane wants to cut a board that is 3/4 feet long into 4 pieces of equal length. How long is each piece?
Answers
If you want to find the length of 1/4 of 3/4, divide it by 4.
3/4 / 4 = .1875
Then, make it into a fraction. It should equal 3/16.
Help ill mark u brainliest
Answers
answer:
8x - 16 + 5x + 15 = 90
and
8x - 6 + 18x + 4 = 180
X^2+2x+1=4 complete the square
Answers
Answer:
[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]
x= 1 or x= -3 is the right answer.Name the property illustrated. 69 + 0 = 69
Answers
Answer:
zero property of addition
Step-by-step explanation:
Do my boys got me? Also giving brainliest ! Need D, E, and F
Answers
Answer:
Darn, I could have helped you but I'll leave it to the boys :) goodluck!!
Determine if the triangles are congruent. If so, state what postulate proves that they are congruent.
Question 24 options:
The triangles cannot be proven congruent.
SAS
SSS
AAS
ASA
HL
Answers
Answer:
I believe it's SAS, but I am not 100% sure. I say this because you see the angle then in between is a side then another angle
i cant get this at all
Answers
Answer:
3. Adjacent and Supplementry
Hey I need some help here!
6x +2 (5x -6)
Answers
Answer:
1 6 − 1 2
Step-by-step explanation:
im pretty sure :OO if it's wrong im sorry :((
Solve.
4.75 x $2.20 =
$9.45
$10.55
$9.55
$10.45
Answers
UMS Grade 7 Math CUA- Unit 4 / 6 of 10
A garment is on sale for 35% off the regular price. If the regular price is $48.80, then what is the sale price?
O A $16.27
O B. $17.08
OC. $31.72
O D. $32.53
PLEASE HURRY IM DOING THE TESTTT NOWWWW
Answers
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9
Answers
Answer:
3,6,-1,5, and -4
Step-by-step explanation:
Domains is the X
Answer:
hi
Step-by-step explanation:hi
Find the value of x in the given right triangle.
DECIMAL FORM ROUNDED TO THE NEAREST TENTH !
BRAINLEST to whoever right.
Answers
Answer:
The value of x = 65.4°
Step-by-step explanation:
Given
hypotenuse = 12
To determine
The value of ∠x = ?
Using the trigonometric ratio
cos x = adjacent / hypotenuse
here:
Adjacent of angle ∠x = 5hypotenuse = 12substituting adjacent = 5, hypotenuse = 12 in the formula
cos x = adjacent / hypotenuse
cos x = 5 / 12
x = arccos (5/12)
x = 65.4°
Therefore, the value of x = 65.4°
Answer:
The answer is 65.3 to the nearest tenth
Step-by-step explanation:
You'll use the Pythagoras theorem to find the unknown side first
then you'll use the sin rule to solve for x
22 students is __% of 50 is 10
Answers
Answer:
44
Step-by-step explanation:
i think its right
write this rate as a unit rate 1/7 1/14
Answers
Answer:
1/7in=1/14min
14/7in=min
2in=min
the rate is 2 inches per minute.
Step-by-step explanation:
Answer:
The answer is 2.
Step-by-step explanation:
First you have to change 1/7 divided by 1/14 like this: 1/7 times 14/1.
Second solve the equation, 1/7 x 14/1 = 14/7 = 2.
Thank you for reading this, I hope this was helpful.
Good morning everyone! I have a tricky math question here, and was wondering if any of you can solve it. Have a great day! :D
Answers
Solve it considering correct order of operations:
9 - 3 ÷ 1/3 + 1 = Division first9 - 3 × 3 + 1 = Multiplication first9 - 9 + 1 = Subtraction is same priority with addition 0 + 1 = Addition1 AnswerAnswer:
9 - 3 ÷ (1/3) + 1 = 1
Step-by-step explanation:
Given problem,
→ 9 - 3 ÷ (1/3) + 1
Let's solve the problem,
→ 9 - 3 ÷ (1/3) + 1
→ 9 - (3 × 3) + 1
→ 9 - 9 + 1
→ 9 - 8 = 1
Thus, the answer is 1.
what is preferred stock
Answers
Answer:
A form of stock which may have any combination of features not possessed by common stock including properties of both an equity and a debt instrument, and is generally considered a hybrid instrument.
Step-by-step explanation:
X
X
60°
60°
X=[ ? 1°
Enter
Answers
x+x+60+60=180
2x=60
X=30
Explanation: a entire triangle has a total of 180 degrees, I’m going to subtract 90 and 60 from 180 and that gives me the remaining amount(side) 30 which is the answer
A sack has 1 apple and 16 oranges You pick one fruit. what is the chance its a apple ?
(A) 1/17
(B) 16/1
(C) 1/16
Answers
Answer:
1/16
Step-by-step explanation:
ASAP HELP! Which equation is NOT linear?
O y = 5x
O y = 3 + 4x
O y = 2x3 - 1
O y = -3x -7
Answers
Answer:
y=5x is not linear
Step-by-step explanation:
option A is not linear
Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *
a,38.29
b.27.29
c.0.55
d.0.45
Answers
The length of a rectangle is 3 cm greater than its
width. Its area is 108 cm. Find the dimensions
of the rectangle.
Answers
so first say the width is x so the length is +3 then the width so the length is (x+3)
the formula would be; x•(x+3) = 108
x=9
so the width is; 9 cm
and the length is; 9+3= 12cm
The length is 12 cm and width is 9 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Area = 108 cm²
and, The length of a rectangle is 3 cm greater than its width.
let the width of rectangle be x.
so, length = x+ 3
So, Area of Rectangle = l x w
108 = x(x+ 3)
x² + 3x -108 = 0
x² + 12x - 9x -108 = 0
x( x+ 12) -9 ( x+ 12)= 0
(x + 12)(x- 9)=0
x= -12, +9
So, length is 12 cm and width is 9 cm.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ2
Evaluate
2-8÷-2-3-12÷-6×-2
Answers
Answer:
7
Step-by-step explanation:
2-8÷-2-3-12÷-6×-2
2 - -4 - 3 - 2 x -2
2 + 4 + -3 - -4
6 + -3 + 4
3 + 4
7 :)
Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!
Come up with a real world situation that would involve finding the area of a circle.