What is the value of x?
Answer:
x = 9
Step-by-step explanation:
Given side AB in triangle ABC has length x, what is the length of side AC?
The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.
Given :
Given side AB in triangle ABC has length x.
The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.
The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:
[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]
Now, put the known values in the above equation.
[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]
[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]
AC = 2x
So, the correct option is D).
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Write two expressions for the perimeter of the figure.
Answer:
(a) 5 + 7 + 6x + 8x + 6
(b) 18 + 14x
Step-by-step explanation:
PLEASE HELP
In Triangle WXY, angle X is equal to angle Y, WX is equal to 9x-11, XY is equal 4 points
to 4x+1, and WY is equal to 7x-3, find x and the measure of each side
Answer:
x = 4WX = WY = 25XY = 17Step-by-step explanation:
The triangle is isosceles with side WX equal to side WY:
WX = WY
9x -11 = 7x -3
2x = 8 . . . . . add 11-7x
x = 4
Then the side measures are ...
WX = WY = 7(4) -3 = 28 -3 = 25
XY = 4(4) +1 = 16 +1 = 17
His grandmother is sick, so Hassan is making a pot of bean soup to bring for dinner. The recipe calls for equal amounts of 3 kinds of beans: kidney, pinto, and black. In all, Hassan uses 2 1/4 cups of beans in the soup.
Use an equation to find the amount of each kind of bean Hassan uses in the soup.
Answer:
0.75 cup
Step-by-step explanation:
K + p + b = 2 1/4
K = p = b
Sence all beans are equal we can divide 2 1/4 by 3
2 1/4 / 3 = 3/4
A recipe for 15 bran muffins calls for 1 cup of flour. The muffins that can be made varies directly with the amount of flour used. There are 1 1/3 cups of flour available. How many muffins can be made?
Answer: 35 bran muffins can be made with 2 1/3 cups of flour.
leave a thanks if helped pls <3
i just want to make question of this simplify plz solve question fast
Answer:
I believe 100
Step-by-step explanation:
He had 18 then got 32 from his mom leaving him with 50 and tripled it so 150 and he gave 25 to both his sister so 25+25=50 so 150-50=100
please give brainliest
A GIRL WANTS TO BUY A DRESS THAT COST 125$ ANDSHE HAS A DISCOUNT OF 15% OFF OF A 5% COUPAWN HOW MUCH DID SHE PAY
(PICTURE PROVIDED)
A: 1 unit
B: 2 units
C: 3 units
D: 4 units
Answer:
Looks like 3 units if not try 4 units
Step-by-step explanation:
Hope this helps
f(x)=3x+5 and g(x)=2x+1
value of x
You can treat x and 2x+1 just as though they are real numbers.
So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2
In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.
Is 70.61 a rational or irrational number?
Answer:
70.61 is a rational number
Step-by-step explanation:
This is because a rational number is either:
A whole number, like 70, whole number.
Is a terminating decimal, such as the one above 70.61, (A terminating decimal is a decimal that doesn't repeat.
And or has a pattern, or a recurring decimal, like 7.478478..., it repeats the decimal over and over, thus, rational.
Hope this helped you, have a great day.
PLEASE HELP EMERGENCY what is the solution to the equation ^3 square root 2x+5 =5
Answer:
60
Step-by-step explanation:
[tex] \sqrt[3]{2x + 5} = 5 \\ (\sqrt[3]{2x + 5} = 5) ^{3} \\ 2x + 5 = 125 \\ 2x = 120 \\ x = 60[/tex]
Your mom decides she will give you $8, instead of $5 for each chore. You complete 12 chores. Will you have enough money for the lego set?
Average price of one Lego set = $20
You get $8 per choresTotal chores=12Total price
[tex]\\ \sf\longmapsto 12(8)=\$96[/tex]
You have enough price
If a sea turtle traveled 2.8 miles at
top speed in 2 hours, how far
did it travel in one hour?
Answer: 1.4 mph
Step-by-step explanation: It traveled 2.8/2 mph or 1.4 mph.
Would appreciate brainly <3
Answer:
It will travel 1.6 mile
Step-by-step explanation:
A mountain climber started at zero elevation. The first day he hiked 10 miles up
the mountain, the second day it got steeper and only hiked 3 miles, the third day he
had to detour and went down 4 miles and the last day he went up 1 mile. How far
did he get up the mountain?
Answer:
14 miles if that's how far he went up
17miles if you're calculating his distance covered
The distance he hiked up the mountain is 10 miles.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a mountain climber started at zero elevation. On the first day he hiked 10 miles up the mountain, on the second day it got steeper, and only hiked 3 miles, On the third day he had to detour and went down 4 miles, and on the last day, he went up 1 mile.
The total elevation will be calculated as below:-
Elevation = 10 + 3 + 1 - 4
Elevation = 14 - 4
Elevation = 10 Miles
Therefore, the distance he hiked up the mountain is 10 miles.
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Use the Distributive Property to solve the equation.
2(x+5)=20
The solution of the equation is
Answer:
2x+10=20 so x=5
Step-by-step explanation:
A worker on an assembly line packed 156 boxes in 3 hours. At this rate, how many boxes would the worker pack in 7 hours?
Answer:
364
Step-by-step explanation:
156/3 = 52 boxes/hour
52 boxes x 7 hours = 364
Sara poured 3/4 of the juice from a 2 liter bottle while serving guest party.
How much juice, in liters, is still left in the bottle
Answer:The juice left in bottle is 0.5 litre
Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.
What is the least common denominator for 5 and 16
Answer: 80
Step-by-step explanation:
16, 32, 48, 64, 80
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80
Solve for x 2(x - 2)² = (2x - 1)(x - 3)
answer please
Answer:
X = 5
Step-by-step explanation:
Answer: x = 5
Step-by-step explanation:
Solve for x given the equation 2(x - 2)² = (2x - 1)(x - 3).
Simplify the equation.
2(x - 2)(x - 2) = (2x - 1)(x - 3)
2(x² - 4x + 4) = (2x² - 7x + 3)
2x² - 8x + 8 = 2x² - 7x + 3
Solve for x.
2x² - 8x + 8 = 2x² - 7x + 3
-8 - 8
2x² - 8x = 2x² - 7x - 5
+8x + 8x
2x² = 2x² + x - 5
-x - x
2x² - x = 2x² - 5
-2x² - 2x²
- x = - 5
- 5 ÷ - 1 = 5
x is equal to 5.
confused with this question
Answer:
max profit is 8000
and units sold to obtain max profit is 3000
Step-by-step explanation:
This equation is in general form for a parabola equation
so the vertex represent the maximum profit and units to be sold
General form looks like this
7=a(x-p)²+q
where p and q is the vertex, ie the max point
in this equation
p=3000
q=8000
so max profit is 8000
and units sold to obtain max profit is 3000
1/2divided by 4/9 and its answer write it in a mixed fraction
Answer:
1 1/8
Step-by-step explanation:
1/2 ÷ 4/9
= 1/2 × 9/4
= 9/8
= 1 1/8
Answer:
[tex]1\frac{1}{8}[/tex]
Step-by-step explanation:
hope this helps have a good rest of night :)❤
Write 63 as the product of prime factors
HOW AM I WRONG???
Answer:
It says in ascending order, and I don't think exponents will work.
Step-by-step explanation:
I think the correct answer would be 3 x 3 x 7, or 3² x 7
The only mistake that I can see is that it is not in ascending order.
-Chetan K
Answer:
3*3*7 or 3^2*7
Step-by-step explanation:
Do you need to have the exponent of 2?
If not, then write it as 3*3*7 or 3^2*7
two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment
Answer:
Step-by-step explanation:
HELP PLSSS ITS DUE TMRWW
Answer:
P=6
Step-by-step explanation:
okay so the problem states that this pentagon has one line of symmetry.
if you know that AE=4x, AB=2x+1, and Bc=x+2, then you know that CD=x+2, and DE=2x+1.
since you know the perimeter is 18 cm, you can make an equation to find x:
4x+2(2x+1)+2(x+2)=18
-->4x+4x+2+2x+4=18
-->10x+6=18
-->10x=12
-->x=1.2
P would be 6
Chelsea has 11 times as many brushes as Monique if they have 60 brushes altogether how many brushes would Chelsea have
Answer:
Your anwser would be
5.45454545455
Step-by-step explanation:
since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545
Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.
4 ones 4 tenths plus 4 tenths
Answer:
4 8/10
Step-by-step explanation:
4x1+4x1/10+4x1/10=4+4/10+4/10=4 8/10
Adding 4 ones, 4 tenths and 4 tenths gives 4.8
To add 4 ones, 4 tenths and 4 tenths, we can combine the whole numbers and the decimal parts separately.
4 ones = 4 x 1
4 tenths = 4 x 1/10
So, 4 ones + 4 tenths + 4 tenths
= 4 x 1 + 4 x 1/10 + 4 x 1/10
= 4 + 0.4 + 0.4
= 4+ 0.8
= 4.8
Therefore, when you add 4 ones, 4 tenths and 4 tenths, the result is 4.4.
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Help! I give brainlest. Problem is in Image
Answer:
65
Step-by-step explanation:
let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.
[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]
Answer:
65
Step-by-step explanation:
9^2-4^2=65
Solving the quadratic equations using by completing the square.
Step-by-step explanation:
1-
(x+3)(x+5)=0
2-
(x-3)(x+1)=0
3-
(x-2)(x+2)=0
4-
(x+3)(x-1)=0
5-
(x-4)(x+8)=0
if it is right
please give me a brainlest
On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
Number of hours that I used to work = 1 hour
My hourly pay = $3t - 3
My total pay at the end of the day = Number of hours x hourly pay
My total pay at the end of the day = 1 (3t - 3)
My total pay at the end of the day = $ 3t - 3
Number of hours that Andrew used to work = 3t -5 hour
Andrew's hourly pay = $2
Andrew's total pay at the end of the day = Number of hours x hourly pay
Andrew's total pay at the end of the day = 2 (3t - 5)
Andrew's total pay at the end of the day = $ 6t - 10
At the end of the day, I earned $2 more than Andrew
My total pay = Andrew's total pay + 2
3t - 3 = 6t - 10 + 2
6t - 3t = -3 +10 - 2
3t = 5
t = 5/3
[tex]t = 1\frac{2}{3}[/tex]
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
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