Answers
Answer:
[tex]\boxed {\boxed {\sf x \approx 23.49 \ cm }}[/tex]
Step-by-step explanation:
This is a right triangle (the small square in the corner signifies a 90 degree angle), so Pythagorean Theorem can be used.
[tex]a^{2} + b^{2} =c^{2}[/tex]
where a and b are the legs of the triangle and c is the hypotenuse. In this triangle, 17 and x are the legs because they form the right angle. 29 in the hypotenuse because it is opposite the right angle.
[tex]a= 17 \\b=x \\c= 29[/tex]
[tex]17^{2} + x^{2} =29^{2}[/tex]
Solve the exponents.
17²=17*17=28929²= 29*29=841[tex]289+x^{2} =841[/tex]
289 is being added to x and the inverse is subtraction. Subtract 289 from both sides to isolate the variable.
[tex]289-289+ x^{2} =841-289\\x^{2} =552[/tex]
x is being squared and the inverse is a square root. Take the square root of both sides of the equation.
[tex]\sqrt {x^{2} }=\sqrt {552}[/tex]
[tex]x=23.4946802489[/tex]
Let's round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 9.
[tex]x \approx 23.49[/tex]
x is approximately 23.49 centimeters.
Related Questions
Of the males surveyed, what proportion selected small T-Shirt size
Answers
Answer:
this question doesn't make sense
15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)
Answers
Answer:
BC= 2√5
CD= 2√10
DE= 2√5
BE= 2√10
slope of BC = 2
slope of CD = 1/3
slope of DE = 2
slope of BE = 1/3
Step-by-step explanation:
formula for distance = √(x2-x1)²+(y2-y1)²
formula for slope = (y2-y1)/(x2-x1)
Find the value of x, image attached below
Answers
Answer:
x = 10
Step-by-step explanation:
Sum of angles in a triangle is 180° , so
35° + (5x + 7)° + (9x - 2)° = 180°
The value of x can now be found by solving the linear equation.
5x + 9x + 35 + 7 - 2 = 180
14x + 40 = 180
14x = 180 - 40
14x = 140
x = 140/14
x = 10
Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.
Answers
Answer:
2x² + 4x + 1
Step-by-step explanation:
Given the question :
4x^3+18x^2+22x+5 divided by 2x+ 5
Dividend = 4x^3+18x^2+22x+5
Divisor = 2x + 5
In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture
true or false justify your answer
integers are rational numbers
3 squared can be written as a fraction
whole numbers are irrational
Answers
May be true
Which rectangular equation represents the parametric equations x = 3t ^1/2 and y = 6t?
photo has the answer choices !
Answers
Answer:
B
Step-by-step explanation:
on edge 2021
there are y amount of boats in a lake
there are 6 people in each boat.
write an expression in terms of Y for the total number of people in the boats
Answers
Answer:
6y
Step-by-step explanation:
Our variable is y
We know that there are 6 people in each boat
Simply multiply 6 and y => 6y
What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?
Answers
Answer:
x = 0
Step-by-step explanation:
24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7
solve the brackets by using the distribute property:
1(3x - 9) = 3x - 9
-2(2x - 10) = -8x + 20
rewrite the equation:
24 - 3x - 9 - 6 = -8x + 20 + 5x + 7
combine like therms:
27 - 3x = -3x + 27
subtract 27 from both sides:
27 - 3x - 27 = -3x + 27 - 27
- 3x = -3x
add x to both sides of the equation:
-3x + 3x = -3x + 3x
x = x or 0 = 0
to check, substitute 0 for x
24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7
anything times 0 is 0
24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7
solve:
24 + 9 - 6 = 0 + 20 + 0 + 7
27 = 27
If 4/3 of water is enough to water 2/5 of plants , how much water is needed to water all plants ....Please add an explanation .
Answers
Answer:
10 by 3
Step-by-step explanation:
When 4 by 3 water is sufficient to water 2 by 5 of the plants so the water i.e. required to water all the plants is 10 by 3
As here we multiply both the fractions by reciprocal the second fraction
So the water i.e. needed to water all plants is 10 by 3
PLEASE HELP DUE IN 30 MINUTES ILL GIVE You BRAINLY
Answers
Answer:
C
Step-by-step explanation:
Your answer is C this is just observation so no need for explanation
X + 3y =5y
-x + 2y =0
Answers
Answer:
If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.
Step-by-step explanation:
A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?
Answers
Answer: 90
Step-by-step explanation:
Answer:
90m
Step-by-step explanation:
you have to cross multiply.
1) multiply (12 * 15) and multiply 2 * X)
2) you get 180 = 2x
3) to get X alone divide 180 by 2 and you will get 90meters
whats the permiter and area of this triangle will mark brainleist?
Answers
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?
Answers
Answer:
11 inches
Step-by-step explanation:
7^2+8^2=c^2
49+64=c^2
113=c^2
square root both side
c=10.63014581
round up and get c=11
hope this helped :)
how many possibilities are there if you toss coin 7 times
Answers
each toss results in 2 possible outcomes, head or tail so the number of possible outcomes for 7 would be
Answer:
2^7
2x2x2x2x2x2x2 = 2^7
Lexy and Lonnel applied to the same university. They looked up the average SAT score of students admitted to that university. Lexy’s SAT score was 30 points above the average score. Lonnel’s SAT score was 270 points below the average score. Which expression represents the difference in their scores?
❘-270 - 30❘
❘30 - 270❘
-❘30 - ❘270❘
-❘30❘ + ❘-270❘
Answers
9514 1404 393
Answer:
(a) ❘-270 - 30❘
Step-by-step explanation:
One score is -270 and the other is +30. The difference is either of ...
|30 -(-270)|
or
|-270 -30| . . . . . . matches choice A
PLEASEEEEEEEE HELPPPPPPP
Answers
2x + 3 = 23 steps for x?
Answers
Answer:
x=10
Step-by-step explanation:
work in the photo
Answer:
x=10
Step-by-step explanation:
Subtract 3 from both sides
2x=23-3
Simplify 23-3 to 20
2x=20
Divide both sides by 2
x= 2 0/2
Simplify 20/2 to 10
x=10
Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º
Answers
Answer:
x = 31.11
Step-by-step explanation:
Let us assume the third person receives be x
Now the second person receives be 2x
And, the second be 3(2x) = 6x
The total is 280
Now the equation is
x + 2x + 6x = 280
9x = 280
x = 31.11
hi please answer this xoxo will mark brainliest
Answers
since isosceles has 2 sides that are equal then,
270 - 108 = 162
divide 162 by 2
162 ÷ 2 = 81
so, C
Answer:
A.)
Step-by-step explanation:
108 + 100 + 62 = 270
Solve for x.parallelogram
Plz show steps so I can learn
Answers
Answer:
in a parallelogram .......the sum.of adjacent angles is 180
11x-10+80=180
11x=110
x=10
Perform the indicated operation. m/m+n + n/m+n
Answers
Answer:
(2mn+m+n)/2
Step-by-step explanation:
Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2
Answers
Answer:
550ft²
Step-by-step explanation:
Since we are not given the dimension of the rectangular prism. Let us assume;
Length of the rectangular base L = 10ft
Width of the rectangular base W = 15ft
height of the prism H = 5ft
Total surface area of the prism = 2(LW + WH + LH)
Substitute the given values
Total surface area of the prism = 2{10*15 + 15*5 + 10*5}
Total surface area of the prism = 2(150+75+50)
Total surface area of the prism = 2(275)
Total surface area of the prism = 550ft²
I NEED HELP ASAP PLS DONT GIVE RANDOM ANSWERS OR LINK I WILL GIVE YOU BRAINLIEST......... thanks :)
Answers
Answer:
D
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )
Here V = 226 and r = 12 ÷ 2 = 6 , then
[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )
3.14 × 36h = 678
113.04h = 678 ( divide both sides by 113.04 )
h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )
Can someone help me? Pls i will mark you brainliest
Answers
Answer: 1 B 2 A
Step-by-step explanation:
A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)
Answers
Answer:
(5,3)
Step-by-step explanation:
I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.
Next I plotted the point (1,3).
Then I counted the spaces between point 1,3 and 3,1 as shown in the picture
Finally I graphed the point and connected the lines to make sure it looked like a parabola.
Circumference = ×What is another way to write this?
Answers
Answer:
2 × pi × radius
..................
Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Part A: Write an equation where the solution represents the amount of money (x), in dollars, Craig has after Michael buys the hat. Explain how you came to this equation. Part B: Now, Craig buys some socks. He has $16 left. Write an equation where the solution represents the amount of money (y), in dollars Craig spent on socks. Show how you know this is the correct equation.
Answers
Answer:
a) x + 4 = 48
b) y + 16 = 44
Step-by-step explanation:
a) Michael has $28 and Craig has $24 less than Michael. Let x represent the amount of money that Craig has. Hence:
x = 68 - 24
x + 24 = 68
Given that Michael spends $20 on a new hat. Therefore we subtract 30 from both sides of the equation:
x + 24 - 20 = 68 - 20
x + 4 = 48
x = $44
b) If y represent the amount of money that Craig spent on buying socks. He has 16 remaining.
Therefore:
44 - y = 16
y + 16 = 44
y = $28
Which of the following is another way of expressing 4 out of 5
Answers
Answer:
4/5
Step-by-step explanation:
I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.
Increase £3.20 in the ratio 2:3
Please show your working out (/formulae).
Answers
Answer:
£4.80
Step-by-step explanation:
Total amount = £3.20
Ratio = 2 : 3
Old : New = 2 : 3
3.20 : x = 2:3
[tex]\frac{3.20}{x}=\frac{2}{3}\\\\3.20*3=2*x\\\\\frac{3.20*3}{2}=x\\\\x = 1.60 *3\\[/tex]
x = £ 4.80
