Answer:
Option A
Step-by-step explanation:
From the triangle given in the picture,
By applying sine rule,
sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{a}{7}[/tex]
a = [tex]\frac{7\sqrt{3} }{2}[/tex]
Similarly, by cosine rule,
cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}= \frac{b}{7}[/tex]
b = [tex]\frac{7}{2}[/tex]
Therefore, Option A will be the correct option.
25 members, Each student must pay an entry fee of $7.25 for a helmet fee. the total cost for the roller skate trip is $443.75. What is the entrance fee for one student?
Answer:
I believe the answer is $10.1 each
Step-by-step explanation:
Well if u multiply 7.25 by 25 you get 181.25 so you can subtract that by 443.75 you will get 252.5 after that divide it by 25 and u get 10.1.
I hope it help's
Wrong answers will be reported.
2cos120°-x sin120°. cos180°= x tan150°
Answer:
[tex]2cos120°-x sin120°. cos180°= x tan150° \\ 2( - \frac{1}{2} ) - x( \frac{ \sqrt{3} }{2} ) \times ( - 1) = x{\frac{ \sin( 150°)}{ \cos(150°)}} \\ ( - \frac{2}{2} ) - \frac{ \sqrt{3} }{2}x \times ( - 1) = x \frac{ \frac{1}{2} }{ - \frac{ \sqrt{3} }{2} } \\ - 1 - ( - \frac{ \sqrt{3} }{2}x) = x( \frac{1}{2} \times ( - \frac{2}{ \sqrt{3} } )) \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{2}{2 \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x =( \frac{ \sqrt{3} }{ \sqrt{3} } )( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = - \frac{ \sqrt{3} }{3} x \\ 6( - 1 + \frac{ \sqrt{3} }{2} x) = 6( - \frac{ \sqrt{3} }{3} x) \\ - 6 + \frac{6 \sqrt{3} }{2} x = - \frac{6 \sqrt{3} }{3} x \\ - 6 = \frac{ - 6 \sqrt{3} }{3}x - \frac{6 \sqrt{3} }{2} x \\ - 6 = (- 2 \sqrt{3})x - (3 \sqrt{3})x \\ - 6 = - 5 \sqrt{3} x \\ x = \frac{ - 6}{ - 5 \sqrt{3} } \\ x = \frac{ 6}{5 \sqrt{3} } \\ x = \frac{6}{5 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ x = \frac{6 \sqrt{3} }{5 \times 3} \\ x = \frac{2\sqrt{3} }{5} [/tex]
Answer:
(2√3 )/5is he value of x.thank you.
help me or dont lol but please help me
-12(x + 6.2) = 60 what does x equal
Answer: its 11.2 my good sir
Step-by-step explanation:
Im jsut smort trust me its right
Please help me I have to get it done by 8 am!!!
Answer:
x = 20
Step-by-step explanation:
Here, we want to get the value of x
To get the value of x, we need to know the kind of relationship that exists between the two given angles
Both angles lie on a straight line and that means they are supplementary
What this mean is that they add up to 180
(5x-7) + (3x + 27) = 180
5x -7 + 3x + 27 = 180
5x + 3x -7 + 27 = 180
8x + 20 = 180
8x = 180-20
8x = 160
x = 160/8
x = 20
Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile.
If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now?
Select all that apply.
Answer:
The correct options are;
A. [tex]-\dfrac{8}{3} \ miles[/tex]
D. [tex]2\dfrac{2}{3} \ mile[/tex] below sea level
Step-by-step explanation:
The given parameters are;
The distance Sasha travels down before a stop = -2/3 mile
The level at which Sasha starts to hike into the canyon = Sea level
Therefore, we have;
Her elevation at the fourth rest station = 4 × -2/3 mile = -8/3 miles
Therefore, we have;
-8/3 mile = [tex]2\dfrac{2}{3} \ mile[/tex] below sea level
Therefore, the correct options are;
-8/3 mile and [tex]2\dfrac{2}{3} \ mile[/tex] below sea level.
Two students describe the sides of right triangle ABC in relation to ∠B. Triangle A B C is shown. Angle A C B is a right angle. Tomas AB is the hypotenuse. AC is the opposite side. BC is the adjacent side. Iliana AB is the hypotenuse. BC is the opposite side. AC is the adjacent side. Who is correct? Explain. Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B. Iliana is correct; BC is opposite ∠B and AC is adjacent to ∠B. Both are correct because both AC and BC are opposite ∠B. Neither is correct because neither AC nor BC is opposite ∠B.
Answer:
A-Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B
Step-by-step explanation:
The person who is correct is Tomas.
What is a right triangle?A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.
What are the sides of the given triangle?Using angle B:
the hypotenuse is AB.the opposite side is ACthe adjacent side is BC.Please find attached the required diagram. To learn more about right triangles, please check: https://brainly.com/question/3197230
will give brainliest
9 feet hope this helps!!! :D may i have brainliest?
You have a chocolate chip cookie recipe for 60 cookies that calls for 4 cups of chocolate chips. How many cups of chocolate chips are needed for 24 cookies?
Answer:
1.6 cups
Step-by-step explanation:
60 cookies= 4 cups chocolate chips
1 cookie=0.66666666
24 cookies=1.6 cups
i hope i helped<3
PLEASE HELP ME!! Graph the line, y+4=1/5(x-1)
Answer:
Look at picture attached
Step-by-step explanation:
I have created the graph on DESMOS. I recommend you use that website as it helps a lot with visualizing graphs :)
Edit: The second attachment shows the point you can plot.
Can snag one help me will mark branliest
Answer:
20/5
36/2
16/6
10/5
24
Step-by-step explanation:
didnt have the square root on my key board
8х + 5у = -7
— 7х + бу = — 4
Answer: x = -0.2651 and y = -0.9759
Step-by-step explanation:
Solution by substitution method
8x+5y= -7
-7x+6y= -4 = 7x-6y=4
Suppose,
8x+5y=-7→(1)
7x-6y=4→(2)
Taking equation (1), we have
8x+5y= -7
⇒8x= -5y -7
⇒x= -5y-7 / 8 →(3)
Putting x= -5y-7 / 8
in equation (2), we get 7x-6y=4
7(-5y-7/8)-6y=4
⇒-35y-49-48y=32
⇒-83y-49=32
⇒-83y=32+49
⇒-83y=81
⇒y= 81 / -83
⇒y= -0.9759→(4)
Now, Putting y= -0.9759 in equation (3), we get
x= -5y-7
x= -5(-0.9759)-7/8
⇒x= 4.8795-7/8
⇒x= -2.1205/8
⇒x= -0.2651
∴x= -0.2651 and y = -0.9759
1. In the table below, y varies inversely as x.
Х
2
4
m
y
18
9
3
What is the value of m? Be sure to use the correct place value.
Answer:
6
Step-by-step explanation:
I think this is the answer but I'm not sure
Someone Please help me with this question
solve the Inequality
8p<-3
Answer:
Step-by-step explanation:
8p < -3
You must isolate P
In order to do this, you need to get rid of anything on that side.
P is being multiplied by 8, so you must do the inverse in order to get rid of it.
The opposite of multiplying is dividing, so divide BOTH sides by 8.
8p / 8 < -3 / 8
You are left with:
p < -3 / 8
That is the answer
I NEED THIS RN PLEASE
Answer:
The answer is C, 3 to 2
Step-by-step explanation:
This is because 12 divided by 4 is 3 and 8 divided by 4 is 2 so yhe ratio is 3 to 2. Hope it helps.
Find the missing side length
Anna has a box of chocolates. In the box there are milk, plain and white chocolates in the ratio 4:3:2. Anna doesn't like white chocolates. Work out the probability that she will pick a chocolate that is not white? *
Complete question :
Anna has a box of chocolates. In the box there are milk, plain and white chocolates in the ratio 4:3:2. The box contains 72 chocolates altogether. Anna doesn't like white chocolates. Work out the probability that she will pick a chocolate that is not white?
Answer:
7 / 9
Step-by-step explanation:
Calculate the number of each type of chocolate :
Milk : plain : white = 4 : 3 : 2
Total ratio = (4 +3 +2) = 9
Milk = (4/9) * 72 = 32
Plain = (3/9) * 72 = 24
White = (2/9) * 72 = 16
Probability of picking a chocolate that is not white :
Number of non-white :
(plain + milk) = (24 + 32) = 56
Probability = (required outcome / Total possible outcomes)
P(not white chocolate) = (number of non-white / total number of chocolates)
= 56 / 72
= 7 / 9
Find the slope of the line that passes through (10,9) and (1,1).
Answer:8/9
Hope this helps!!!!!!!
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Which function best represents this graph?
when a natural number is decreased by 20,the result is 96 times the reciprocal of the number.find the number
Answer:
let natural no be x
(x-20)=96/x
x²-20x-96=0
x²-24x+4x-96=0
x(x-24)+4(x-24)=0
(x-24)(x+4)=0
either
x=24
x=-4
Hi! I need help please. i prefer if this was done using the FOIL method but anything is fine
[tex] {4x}^{2} + 3x - 10[/tex]
Step by step explanations:1. Use foil method.
[tex] {4x}^{2} 5x + 8x - 10[/tex]
2. Collect like terms.
[tex] {4x}^{2} + ( - 5x + 8x) - 10[/tex]
3. Simplify.
[tex] {4x}^{2} + 3x - 10[/tex]
Therefor, the answer is.
[tex] {4x}^{2} + 3x - 10[/tex]
Answer:
(x+2)(4x−5)=4x2+3x−10.
Step-by-step explanation:
multiply (x+2)(4x−5)
using FOIL.
((x)+(2))((4x)+((−1)5))=(x)⋅(4x)+(x)⋅((−1)5)+(2)⋅(4x)+(2)⋅((−1)5)=
=(4x2)+(−5x)+(8x)+(−10)=
=4x2+3x−10
!PLEASE HELP! A square concrete foundation was prepared as a base for a large cylindrical gasoline tank.
a. Express the radius of the tank as a function of the length (x) of the sides of the square.
b. Express the area (A) of the circular base of the tank as a function of the radius (r).
c. Find and interpret A(r(x))
What is two thirds minus one fifth?
Answer:
7/15
Step-by-step explanation:
First, we have to make the bottom part the same:
2/3 - 1/5 = 10/15 - 3/15
10 - 3 = 7 = 7/15
can somebody help me??
Answer: two solutions and
Step-by-step explanation:
the giraffe is the worlds tallest land mammal. if the scale is 1/2 inch represents 5 feet . the giraffe is 20 feet tall . how many inches is the giraffe?
Answer:
The giraffe will be 2 inches
Step-by-step explanation:
If we know that if the scale is 1/2 inch to 5 feet we simply just have to divide the height of the giraffe by 5 feet and then multiply it by 1/2 inches. So we do...
20feet / 5 feet x 1/2 inches = 4 x 1/2inches = 2 inches
If y=x+ 5 and y = 11, then x =
Answer:
x=6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
11=x+5 so 5+ what = 11 so, 6
what is -23 = -11n + 10 + -3 + 9b = -48 i nEeEd HalPPP
meh not good at this
Answer:
WHAT IS HE SAYING?!
SOMEONE TELL ME WHAT HE'S SAYING, I DON'T SPEAK TACO BELL.
Explanation:
978/33
Find each function value f(-4) if f(x) = -5x - 3
Answer: f(-4) = 17
Step-by-step explanation: Substitute (-4) for x.
f(-4) = -5(-4) - 3f(-4) = 20 - 3f(-4) = 17if a ball falls off a cliff that is 20 meters tall and down to the bottom of a pond that is 13meters deep, what is the total distance traveled by the ball? *
7 meters
20 meters
33 meters
13 meters
Answer:
Let H be height of a cliff
h depth of the pond
Total distance traveled (S)= H+h
S=20+13
S=33m
Step-by-step explanation:
Answer:
33 meters is the total distance
Step-by-step explanation:
the distance between the two points is 33 it does not matter if the distance is off the cliff or underwater it's still 20+13=33