Answers
Given;
The figure of a right angle triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]
In the given right angle triangle,
[tex]\cos (45^\circ)=\dfrac{7}{x}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{7}{x}[/tex] [tex][\because \cos (45^\circ)=\dfrac{1}{\sqrt{2}}][/tex]
On cross multiplication, we get
[tex]1\times x=7\times \sqrt{2}[/tex]
[tex]x=7\sqrt{2}[/tex]
Therefore, the value of x is [tex]7\sqrt{2}[/tex] units.
Related Questions
write an equation that models this situation. Each of the 24 students in Mr. Shaws homeroom sold 10 tickeys to a sports event. How many tickets were sold in the homeroom
Answers
Answer:
24*10
Step-by-step explanation:
The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Wow a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables if this function.
Answers
Answer:
The maintained speed while hiking= 3 miles per hour
Let t be the time which represent the independent variable.
Also we know that Distance= Speed × Time
⇒ Distance traveled while hiking=3 ×t=3t
Let h represent the distance function in miles, and h(t) the dependent variable.
Then h(t)=3t
When we put t=4
Then h(4)=3×4 =12 miles.
Step-by-step explanation:
The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants? Show work.
Answers
Answer: Constant of proportionality is $6 for one pair and cost of dry cleaning 11 pairs of pants is $66.
Answer:
87?
Step-by-step explanation:
PLEASE HELP ME WITH THE FIRST QUESTION ASAP!!
Answers
Answer:
11
Step-by-step explanation:
to find the mean you would just add up how many dots there are (9) and divide it by how many numbers have dots (5). so 9/5=1.8
Can you help me on question 12?!
Answers
Answer: A
Step-by-step explanation: because it has the same numbers like it says Sam rented 1,2,3,4 and 5 it has it in A and it says five moths it has it in A
1. What is the spinning mo tion of the earth called? = rotation
Answers
Answer:
Rotation and Revolution are two motions of the earth.
Step-by-step explanation:
The description is in the image below:
Make x the subject of y=x/3
Answers
This simply means moving everything possible thing off x and isolate it.
y=x/3
We see x is stuck with a divide by 3 so we need to get rid of that by multiplying by 3 on both sides.
y*3=x/3*3
switch left and right side and simplify
x=3y
Done! as simple as that.
Our only step to do so is to multiple both sides by 3, getting rid of the fraction x was trapped in, making it 3y=x
To make it easier to understand, we can just flip it and say x=3y, but both answers work.
What is the answer to dis question
Answers
Answer:
$238
Step-by-step explanation:
Write an equation of the line that passes through (8.1) and is perpendicular to the line 2y + 4x = 12
Answers
Answer:
The equation of the perpendicular line is 2x-4y -12=0
Step-by-step explanation:
Explanation
Given that the equation of the line is 4x+2y-12=0
The equation of the perpendicular line b x -ay +k=0
The equation of the perpendicular line 2x -4y +k=0
This line passes through the point (8,1)
2(8)-4(1)+k=0
⇒ 16 -4+k=0
⇒ 12 +k=0
k =-12
The equation of the perpendicular line is 2x-4y -12=0
All things algebra triangle angle sum theorem
Answers
Answer:
The three angles of a triangle always add up to 180°.
That's basically all there is to it. I know this was pretty short but I hope it helps. :)
Answer:
The Triangle Angle Sum Theorem is that all angles in a triangle must add up to 180°.
Step-by-step explanation:
(hope this helps :P)
can 2x-15 be factored
Answers
What is the estimated weight of three containers weighing 1.656 kg each?
Answers
the anwser is
Step-by-step explanation:
the anwser is 5 kg
In long division what is 246/8
Answers
Answer:
the answer is 30.75 or 30 1/4
Step-by-step explanation:
8 can't go into 2 so 8 will go into 24
8 can go into 24 3 times thats our first digit
then multiply 8 times 3 you will get 24 write that under 24
then subtract 24 from the original 24 you will get 0
bring down the 6 to where the 0 is try to divide 8 into three
because you can't u will add a 0 next to the three
that is how you get the 30
thats as much as I know sorry I used the calculator
What is the vertex of the parabola represented by y = - x^2 + 6x – 5?
Answers
Answer: (3,4)
Step-by-step explanation:
Alecia had save 60% of the cost of a new cell phone. If she has saved $105, what is the full price of the cell phone?
Answers
Which graph represents an exponential function?
Answers
Answer:
the second one is the exponential function
Convert 14/3 into a mixed number
Answers
Answer:
4 2/3
Step-by-step explanation: the four is on the side and 2 is over 3
Answer:
4 and 2/3
Step-by-step explanation:
3/3= 1 whole
14/3 - 3/3 =11/3 - 3/3= 8/3 - 3/3= 5/3 - 3/3= 2/3
No more 3/3, or 1 whole, can be subtracted, so you add the number of 3/3, or 1 whole, that you subtracted, which adds up to 4 wholes, and then you add the 2/3, which would equal 4 and 2/3.
Instructions: Find the missing length
Answers
Answer:√20
Step-by-step explanation:
The missing side length of the right triangle is or about 4.47 . Explanation: When we talk about the side lengths of a right triangle,
Please help.
Of the 400 6th grade students at Aviara Oaks Middle School, the ratio of boys to girls is 2:3. Of the 360 students at Valley Middle School, the ratio of boys to girls is 3:5.
Which middle school has more boys attending their school?
How many girls attend AOMS?
How many girls attend VMS?
What is the ratio of girls attending Aviara Oaks Middle School to girls attending Valley Middle School?
Answers
Answer:
Step-by-step explanation:
Aviara Oaks Middle School:
Total student = 400
Boys : girls = 2:3
Boys = 2x , girls = 3x
2x + 3x = 400
5x = 400
x = 400/5
x = 80
Number of boys = 2x = 2*80 = 160
Number of girls = 3x = 3 *80 = 240
VMS:
Total student = 360
Boys : girls = 3 : 5
Number of boys = 3x
Number of girls = 5x
3x + 5x = 360
8x = 360
x = 360/8
x = 45
Number of boys= 3x = 3 *45 = 135
Number of girls = 5x = 5 * 45 = 225
AOMS school has more boys attending their school.
Ratio of girls attending Aviara Oaks Middle School to girls attending Valley Middle School = 240 : 225
= 48 : 45
Mr. Brown has 14 purple,6 blue, 10 orange face masks. What is the probability that, if selected at random. Mr. Brown will pick one of his blue face mask to wear?
Answers
Answer:
im pretty sure this is right its a 6/30 chance he would pick blue
Step-by-step explanation:
Solve for x. 6/x+ 2/5 = 8
Answers
Answer:
15/19
Step-by-step explanation:
6/x +2/5 = 8
(multiply through by x)
6 + 2x/5 = 8x
(minus 8x from both sides)
-38x/5 + 6 = 0
(subtract 6 from both sides)
-38x/5 = -6
(times by -1)
38x/5 = 6
Times 6 by 5 and then divide by 38.
=15/19
[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]
• Given:-[tex]\sf \dfrac{6}{x} + \dfrac{2}{5} = 8[/tex]⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-Value of x.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Taking L.C.M:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Cross multiplying:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 30 = 38 \times x[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Taking x term one side:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x = \dfrac{30}{38}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Simplifying the fraction:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, value of x is 15/19.
25 feet
6 feet
9 feet
Answers
Answer:
there is not enough info
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 196 tons. Train A is heavier than Train B. The difference of their weights is 26 tons. What is the weight of each train?
Answers
Answer:
a. A = 111 tons
b. B = 85 tons.
Step-by-step explanation:
Let the weight of the heavier train be A.
Let the weight of the other train be B.
Translating the word problem into an algebraic equation, we have;
A + B = 196 tons .......equation 1
A - B = 26 .......equation 2
A = 26 + B .........equation 3
Substituting eqn 3 into eqn 1, we have;
26 + B + B = 196
2B = 196 - 26
2B = 170
B = 85 tons.
To find A, using eqn 3;
A = 26 + B
A = 26 + 85
A = 111 tons
if £2000 is placed in a bank account that pays 3% compoud interest each year , how much will be in the account after 2 years
Answers
Answer:
£2060
Step-by-step explanation:
If the bank pays then you are earning.
3% of 2000 = 60
2000 + 60 = 2060
Help me please will mark brainlist!
Answers
Answer:
Use d e s m o s graphing calculator
Step-by-step explanation:
Answer:
y = 1/3 x - 2
Step-by-step explanation:
the slope is 1/3, so make sure that you go up one, to the right 3. Start at -2 and then go from there. hopefully this helped :)
HELP PLS <3 I’m trying to answer this but I don’t understand what goes where pls help !
Answers
problem one is y = x/4
problem six is y = 4x
Eight girls share 7 sandwiches equally. How many sandwiches does each girl get
Answers
Answer:
each girl get 1 sand witch and 14 quarters
Step-by-step explanation:
Helen ate 1/10 of a cake. She divided The remainder into 3 equal portions. What fraction of the cake was in each portion
Answers
Answer:
As she ate 1/10 of cake, we need to know how many cake remains after it, so we can substract:
1 - 1/10 = 10/10 - 1/10 = 9/10
Then, we need to divide the 9/10 into 3 portions:
(9/10) / 3 = 9/30 = 3/10
So we know the fractions would be 3/10 each on this situation..
the hare ran a total of 80ft in about 4 minutes. what was his unit rate in minutes?
Answers
Step-by-step explanation:
divide 80 by for answer. number feet oer minute
Need help ASAP Will mark u brainlyest
answer number 3
Answers
Answer:
Sub the values for x and y into the equations.
Step-by-step explanation:
x = 2
y = 1
Y = 2x - 3
1 = 2(2) - 3
1 = 4 - 3
1 = 1
Y = -½x + 2
1 = -½(2) + 2
1 = - 1 + 2
1 = 1