Find the value of x and the value of y.
A. x= 2 squared root of 3, y= 4 squared root of 3
B. x= 3,y= 6 squared root of 3
C. x= 6 squared root of 3, y=12
D. 2 squared root of 3, y= 6
Answers
Answer:
Option A
Step-by-step explanation:
To find all missing sides of a right triangle we use the sine, cosine or tangent ratio as below,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
Now we take an angle measuring 60°
sin(60°) = [tex]\frac{6}{y}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{6}{y}[/tex]
y = 4√3
tan(60°) = [tex]\frac{6}{x}[/tex]
√3 = [tex]\frac{6}{x}[/tex]
x = 2√3
Therefore, Option A will be the correct option.
Related Questions
waht is the answer for this? −35−85+5−25
Answers
-120+5=-115
-115-25=-140
PEMDAS
-140
-35-85=-120
-120+5-25
-120+5=-115
=-115-25
-115-25=-140
-140
please help!! it’s due asap
Answers
Answer:
x = -4 and 2
Step-by-step explanation:
When x = -4 and 2, y = 0 so -4 and 2 are the roots
plz help, i give brainliest
Answers
Answer:
A
Step-by-step explanation:
Five students wrote a test and the scores were as follows:5,3,7,9 and x. If their total score was 30 find the value of x
Answers
Answer:
The value of X is 6.
Step-by-step explanation:
5 + 3 + 7 + 9 = 24
30 - 24 = 6
X = 6
The difference is 6.
11. Michelle used place value to multiply 4,126 and 87. Which is not a step that Michelle could have
taken in her work?
A Multiply 4,126 x 7
B. Multiply 4,126x8
C. Multiply 4,126 x 8 tens
D. Add 28.882 330,080
Answers
Answer:
b
Step-by-step explanation:
Javier's fuel tank holds 15 galipns completely full. He had some in the tank and added 9.6
gallons of gasoline to fill it completely.
How many gallons of gasoline were in the tank before Javier added some?
Answers
Answer:
6.4 because subtract 9.6 from 15
I asked this question several times and not one person had helped me. Please im begging you. This is due today. Please answer all the questions and show your work! I will mark brainliest
Answers
Answer: a = 2^12 b= 2^12 c=2^20
d= 2^12 e= 2^64 f= 2^12 g= 2^22 h= 2^40
Step-by-step explanation:
How many different ways can you have 55¢ in change using only quarters, dimes and nickels?
A. 1
B. 5
C. 11
D. 15
Answers
Answer: 11 times
Step-by-step explanation:
Have a wonderful day!
Elena prepared 8 kilograms of dough after working 2 hours. How much dough did Elena prepare if she worked for 9 hours? Assume the relationship is directly proportional.
Answers
Answer:
36 kilograms
Step-by-step explanation:
Since she made 8 kilograms of dough over the span of 2 hours, you divide 8 by 2 and get 4 then you have to multiply 9 hours by 4 kilograms of dough to get 36 kilograms of dough.
can someone help me AND explain how they got the answer?
Answers
Answer:
g=4
Step-by-step explanation:
this is a 30 60 90 triangle. the hypotenuse is 2x while the shortest side is x. if 8=2x then x must be 4.
Combine the like terms to create an equivalent expression for 4z−(−3z)
Answers
Answer:
7z
Step-by-step explanation:
Answer: 7z
Step-by-step explanation:
two negatives cancel into a positive, so -(-3z) is +3z. 4z + 3z = 7z
Use the GCF and distributive property to write an equivalent expression.
Answers
Answer:
2
6
9
Step-by-step explanation:
Because if you pay attention to our teacher he told us how to respond it!
solve for x round to your nearest tenth
Answers
Answer:
5.5
Step-by-step explanation:
30-60-90 triangle rule is:
x - x[tex]\sqrt{3}[/tex] - 2x
11 = 2x
x = 5.5
Answer: 50
Step-by-step explanation:
because its rounded to its nearest 20ths'
PLEASE HELP FIRST ONE TO GET IT RIGHT GETS brainiest :oooo
Answers
A. x and y are both within the same solar system.
7.2 light years= 455336 AU
below there was a daily rental cost for ski equipment at benton mountin ski resort radall rents one set of skis two set of poles and two pairs of boots the sales tax for the rental was 7.69 and he paid with a 100 bill how much chang should randall recive frome the 100 dollar bill
Answers
Answer:
hi
Step-by-step explanation:
"Marty purchased a car. The car cost him $16,500 and it depreciates in value at a rate of 4.3% per year. How much will the car be worth in 12 years?"
Answers
Answer:
"Marty purchased a car. The car cost him $16,500 and it depreciates in value at a rate of 4.3% per year. How much will the car be worth in 12 years?"
Step-by-step explanation:
LAN tosses a bone up In the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented by the function h(t) = -16t^2 + 20t. What is Spots average rate of ascent, in feet per second, from the time she jumps into the air to the Time she catches the bone at t = 1/2 second?
Answers
Answer:
The rate of change is 12ft/s
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 20t[/tex]
Required
Rate of change from when she jumps till 1/2s
The time she jumps is represented as: t = 0
So, calculate h(0)
[tex]h(t) = -16t^2 + 20t[/tex]
[tex]h(0) = -16 * 0^2 + 20 * 0 = 0[/tex]
At t = 1/2
[tex]h(t) = -16t^2 + 20t[/tex]
[tex]h(1/2) = -16 * 1/2^2 + 20 * 1/2 = 6[/tex]
Rate of change is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
Where
[tex](a,b) = (0,1/2)[/tex]
So, we have:
[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
[tex]Rate = \frac{h(1/2) - h(0)}{1/2 - 0}[/tex]
[tex]Rate = \frac{6 - 0}{1/2 - 0}[/tex]
[tex]Rate = \frac{6}{1/2}[/tex]
[tex]Rate =12[/tex]
The rate of change is 12ft/s
Express 0.09 as a fraction.
Answers
Answer:
9/100 is the answer i believe
Answer:
the answer is 9/100
Step-by-step explanation:
9 ÷ 100= 0.09
Which expression is equivalent to
Answers
Answer:
Step-by-step explanation:
the first expression
You have 1/8 gallon of melted crayon wax. You pour the wax equally into 8 different molds to make new crayons. What fraction of a cup of melted wax is in each mold? Think: 1 gallon is 16 cups.
PLS HELP
Answers
Answer:
2 cups
Step-by-step explanation:
16/8=2 so it is 2 cups
Catherine Destivelle was the first woman rock climber to complete a solo ascent in 1992. She is helping to design an inside rock-climbing wall on which other climbers can practice. She draws the figure
below on the coordinate grid to represent part of the wall. Each square represents one foot
Answers
Answer:
count the unit squares
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Vince is saving for a new mobile phone. The least expensive model Vince likes costs $225.90. Vince has saved $122.35. He used this solution to determine how much more he needs to save.
225.90 less-than-or-equal-to 122.35 + a. 225.90 minus 122.35 less-than-or-equal-to 122.35 minus 122.35 + a. 103.55 less-than-or-equal-to a.
Vince says that based on the solution, he should save a maximum of $103.55.
Is Vince correct?
Vince is correct because he found the correct solution to the inequality.
Vince is correct because he should save at least $103.55.
Vince is not correct because he wrote the wrong inequality to represent the situation.
Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.
Answers
Answer:
Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.
Step-by-step explanation:my
my sister which is in college helped me with one.
Answer: its D
Step-by-step explanation:
please help quickly!
Answers
Answer:
answer I have no clue sorry dude
What does the y-intercept of the graph represent?
Answers
The Bungling Brothers Circus is in town and you are part of the crew that
is setting up its enormous tent. The center pole that holds up the tent
is 70 feet tall. To keep it upright, a support cable needs to be attached to
the top of the pole so that the cable forms a 60° angle with the ground.
a) How long is the cable?
b) How far from the pole should the cable be attached to the ground?
Answers
Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
The length of the cable is 80.83 ft and the distance from the pole should the cable be attached to the ground is 40.42 ft and this can be determined by using the trigonometric function.
Given :
The Bungling Brothers Circus is in town and you are part of the crew that is setting up its enormous tent. The center pole that holds up the tent is 70 feet tall. To keep it upright, a support cable needs to be attached to the top of the pole so that the cable forms a 60° angle with the ground.a) The trigonometric function can be used in order to determine the length of the cable.
[tex]\rm sin\theta=\dfrac{h }{L}[/tex]
where h is the height of the pole, L is the length of the pole, and [tex]\theta[/tex] is the angle from the ground.
Substitute the known terms in the above expression.
[tex]\rm L=\dfrac{h }{sin\theta}[/tex]
[tex]\rm L = \dfrac{70}{sin60}[/tex]
L = 80.83 ft.
b) The trigonometric function can be used in order to determine the distance from the pole should the cable be attached to the ground.
[tex]\rm tan \alpha =\dfrac{h}{x}[/tex]
where x is the distance between pole and cable.
Substitute the known terms in the above expression.
[tex]\rm x = \dfrac{70}{tan 60 }[/tex]
x = 40.42 ft.
For more information, refer to the link given below:
https://brainly.com/question/21286835
A rectangular pool has an area of 50 square feet. What are the lengths of its sides? There is more than one possible answer. Draw a picture of the possible answers.
Answers
Answer:
10*5 or 25*2
Step-by-step explanation:
There are other answers but those involve decimals and I'm assuming they want whole numbers.
In the diagram, mBDA = 150°. Find mBDC.
Answers
Answer:
a. 70°
Step-by-step explanation:
m∠BDC + m∠CDA = m∠BDA
-3x + 34 - 2x + 56 = 150
-5x + 90 = 150
-5x = 60
x = -12
m∠BDC = -3x + 34 = -3(-12) + 34
= 36 + 34 = 70°
M is the midpoint of PQ. PM = 7x + 8 and MQ = 5x+ 20. Find the value of x.
Answers
So you would do 7x+8=5x+20
Then it would be 2x = 12
So 12 / 2, which is 6
X = 6
Find a formula for a geometric sequence that begins 100, 120, 144, ....
Answers
Answer:
[tex]b_{n} =b_{1} r^{n-1} =100*1.2^{n-1}[/tex]
Step-by-step explanation:
first number is [tex]b_{1} =100[/tex]
the cammon ratio is [tex]r=\frac{120}{100} =\frac{144}{120}=1.2[/tex]
so [tex]b_{n} =b_{1} r^{n-1} =100*1.2^{n-1}[/tex]
Solve for x and y
7x - 3y = 4 and -10x + 3y = 2
A. x = -2, y = -6
B. x = 6, y = -2
C. x = 2, y = -6
D. x = 6, y = 2
Answers
7x - 3y = 4
-10x + 3y = 2
Add both equations
-3x = 6, x = -2
Plug in -2 for x in one equation
7(-2) - 3y = 4
-14 - 3y = 4
-3y = 18, y = -6
Solution: x = -2, y = -6