work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)
Answers
Answer:
x = 3.08
Step-by-step explanation:
Area formula:
A = 1/2bhThe height is:
h = (x + 2)sin 45° = (x + 2) ×√2/2Substitute the value for area and set equation:
4√2 = 1/2 × (2x - 3) × √2(x + 2)/2(2x - 3)(x + 2) = 162x² + x - 6 = 162x² + x - 22 = 0D = 1 + 4*2*22 = 177x = (-1 + √177)/4 = 3.08 (rounded)Note the second root ignored as negative
Answer:
x = 3.08 (3 s.f.)
Step-by-step explanation:
Area of a Triangle (using sine)
[tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]
where:
a and c are adjacent sidesB is the included angleGiven:
Area = 4√2 m²a = (2x - 3) mc = (x + 2) mB = 45°Substitute the given values into the formula:
[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]
[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]
[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]
[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]
[tex]\implies (2x-3)(x+2) =16[/tex]
[tex]\implies 2x^2+4x-3x-6=16[/tex]
[tex]\implies 2x^2+x-22=0[/tex]
Use the Quadratic Formula to solve for x:
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]
[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]
As distance is positive:
[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]
Related Questions
Simplity using properties of exponents. Write your answer using a
single whole number exponent and the same base as given in the
expression below.
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Simplifying Expressions Using the Properties of Exponents (Four Examples)Daniel Ozimek
Best answer gets brainliest!
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Answer:
If I give you a nickel, what am I wanting you to tickle? my ____
Step-by-step explanation:
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Answer:
Your answer is A, 3x - 2x.
Step-by-step explanation:
Triple a number means to multiply it by 3.
Double a number means to multiply it by 2.
Difference means to subtract.
Hope this helps!
Answer:cim not sure tho
Step-by-step explanation:
SOMEONE HELP ITS DUE TONIGHT
Answers
Answer:
n=27 degrees
m=36 degrees
Step-by-step explanation:
So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.
so it is: 180-126/2 which gives you 27 degrees.
this means the n value is 27.
to find m, you have to take away 90 degrees and the n value from 180.
so it is: 180-90-27 which gives you 63 degrees.
now you must take the smaller angle from 63 degrees to find m.
so it is: 63-27 which gives you 36
therefore...
n=27 degrees
m=36 degrees
Express each number in scientific notation.
a) 1 300 000 c) 882 500 000
b) 12 500 d) 51 670 000
Answers
Answer:
1.3 x 10^6
8.825 x 10^8
1.25 x 10^4
5.167 x 10^7
Step-by-step explanation:
I need to solve for x
Answers
Answer:
x = 10
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.
In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.
Establish the following equation according to the exterior angle theorem:
< V + < W = < JUV
88° + (5x + 1)° = (14x - 1)°
Solve for x algebraically:
88° + 5x + 1 = 14x - 1
89 + 5x = 14x - 1
89 + 1 + 5x = 14x - 1 + 1
90 + 5x = 14x
90 + 5x - 5x = 14x - 5x
90 = 9x
90/9 = 9x/9
10 = x
Therefore, the value of x = 10.
For brainily please help
Answers
The slashes mean the opposite angles are the same. This is and isosceles triangle, which mean two sides are the same and one is not.
A triangle = 180
We know one angle is 42 and the other two angles are the same.
Subtract 42 from 180
180 - 42 = 138
Now the 138 is going to two sides but we know they are equal so we can divide 138 by 2
138 divided by 2 = 69
So b = 69
6. Nathan buys packages of bacon. This chart shows the numbers of
packages and the total cost to ship.
Number of Packages Shipping Cost
()
1
$8
2
$16
3
$24
4
$32
Which statement is true?
A The data is proportional, and the unit rate is $8 per package.
B. The data is not proportional, and the unit rate is $8 per package.
C. The data is proportional, and the unit rate is 8 packages per dollar.
D. The data is not proportional, and the unit rate is 8 packages per
dollar.
Answers
Answer:
A The data is proportional and the unit rate per package is $8 This is because y= 8x
Step-by-step explanation:
/y relationship is no of packages = 1 x/ = total cost to ship = 8 = 8/1 = 16/2 = 24/3 = 32/4 means they are all proportional to 8/1 = 8 y = 8x see graph attached
For brainily please help
Answers
Answer:
Yes, these create an isosceles triangle, where two sides are equivalent
Please can someone help me
Answers
Answer:
x = 19 and
y = 3
Step-by-step explanation:
40 + 8sqrt(x) - 5sqrt(x) - (sqrt x)^2 = y(sqrt x) + 21
40 + 3sqrt(x) - x = y (sqrt x) + 21
3sqrt(x) = y (sqrt x)
y = 3
40 - x = 21
40 - 21 = x
x = 10
Need help ASAP
16. What is f(-1)
Answers
Answer:
y = 0
Step-by-step explanation:
READ THE GRAPH. If X = 1, then Y = 0. have a nice day
Answer:
f(- 1) = 3
Step-by-step explanation:
locate x = - 1 on the x- axis, go vertically up to meet the graph at (- 1, 3 ) , so
when x = - 1, then y = 3 , that is
f(- 1) = 3
he ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?In order from the smallest angle to the largest angle, the angle measures are°,°, and°.
Answers
Answer:
Step-by-step explanation:
Ratio of angles = 2 : 3 :5
Angles are 2x , 3x , 5x
Sum of all angles of triangle = 180
2x +3x + 5x = 180
10x = 180
x = 180/10
x = 18
2x = 2*18 = 36
3x = 3*18 = 54
5x = 5*18 = 90
Smallest to largest
36 , 54 , 90
Answer:
36°, 54°, and 90°
Step-by-step explanation:
The sum of interior angles of a triangle = 180
Remember: The sum of the interior angles = (number of sides - 2)(180)
2:3:5 means 2x:3x: 5x
2x + 3x + 5x = 180
10x = 180
x = 18
The angles are 2(18) = 36°
3(18) = 54°
518) = 90°
The table shows the cost of some apples. Which function ƒ(x) is represented in the table?
A)
ƒ(x) = 2x + 2
B)
ƒ(x) = 0.5x
C)
ƒ(x) = 0.5x + 2
D)
ƒ(x) = 2x
Answers
Answer:
D) f(x) = 2xStep-by-step explanation:
The ordered pairs from the table:
(1, 2), (2, 4), (3, 6)Find the slope:
m = (4 - 2)/(2 - 1) = 2Find the y- intercept:
2 = 2*1 + b ⇒ b = 0The function is:
f(x) = 2xCorrect choice is D
Take any two pairs
(1,2)(3,6)Slope
m=6-2/3-1m=4/2m=2Equation in point slope form
y-2=2(x-1)y-2=2x-2y=2xJennifer has 84.5 yards of fabric to make. She makes 6 identical curtains and has 19.7 yards of fabric remaining. How many FEET of fabric does Jennifer use per curtain?
Answers
Answer: 118.2
Step-by-step explanation:
The Tiger football team won 2 out of every 3 games they played. If they played 9 games, how many games did they lose?
A.
3
B.
4
C.
6
D.
18
you'll get marked brainliest if you answer first
Answers
Answer:
3
Step-by-step explanation:
2 out of 3. 3x3=9, 2x3=6. 9-6=3
Marlee is making jewelry for a class craft show. She began with 115 inches of wire. She used 25.75 inches for rings. Then her teacher gave her 30 1/4 inches of wire to make more jewelry. She then used 38 1/2 inches for the bracelets and 60.2 inches for necklaces. How much wire does Marlee have left? Write your answer as a mixed number in simplest form.
Answers
Can the sides of a triangle have lengths 3, 3, and 9?
Answers
Answer:
No, the sum of the lengths of ANY 2 sides must be greater than the lengths of this 3rd side.
Step-by-step explanation:
Which of the following equations listed below has a radius of 3?
O A) x^2 + y^2 + 12x - 20y+ 132 = 0
-
O B) x^2 + y^2 + 12x - 20y + 55 = 0
-
O C) x^2 + y^2 - 12x+ 20y + 127 = 0
-
O D) x^2 + y^2 – 20x – 16y + 155 = 0
Answers
Answer:
C.
Step-by-step explanation:
WE need to convert the given equations into the standard form
(x - a)^2 + (y - b)^2 = r^2 where r = the radius.
x^2 + y^2 + 12x - 20y+ 132 = 0
(x + 6)^2 - 36 + (y - 10)^2 - 100 = -132
(x + 6)^2 + (y - 10)^2 = -132 + 36 + 100 = 4
giving a radius of 2
x^2 + y^2 + 12x - 20y + 55 = 0
will give a right hand side of -55 + 36 + 100 = 81 giving radius 9.
x^2 + y^2 - 12x+ 20y + 127 = 0
- gives right hand side of -127 + 36 + 100 = 9 giving a radius of 3.
Answer:
The answer is C I hope this helps
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
How many inches would a 3.5-foot object measure?
inches
How many feet would a 27-inch object measure?
Answers
Step-by-step explanation:
wow, how complicated can one phrase this ...
the point being :
1 ft = 12 in and vice versa (1 in = 1/12 ft)
so, any measurements given in feet but needed in inches need to be multiplied by 12.
and any measurements given in inches but needed in feet need to be divided by 12.
so,
3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in
27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft
Answer:When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
✔ m = 12f
How many inches would a 3.5-foot object measure?
✔ 42
inches
How many feet would a 27-inch object measure?
✔ 2.25
feet
Step-by-step explanation:
There are 4 squares and 10 circles. What is the simplest ratio of squares to circles?
Answers
Answer:
2.5
Step-by-step explanation:
4:14
Explanation:
You add the amount of square and circle together.
4+10=14
Then out of the total amount how many are squares.
4 out of 14 are squares so that’s why the answer is 4:14.
Solve the equation 3x -7=2
Answers
Answer: x=3
Step-by-step explanation: hope this help
if Ax and 60b 30c find its unknown sizes of angle
Answers
Step-by-step explanation:
3360832553 pass wZE2XQ
Please solve the math problem for me... I will mark you brainliest
Answers
Answer:
The midpoint is (4,4)
Step-by-step explanation:
AB is a vertical line. This means the x value must be 4. The y value is halfway between 0 and 8, which is 4. Therefore, the midpoint is (4,4).
Answer:
The midpoint is (4,4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Below is a picture of how it is graphed.
Which of the following is greater than 0.4?AnswerPlease select the correct answer, and click "Next".(A)0.380.38(B)0.440.44(C)\frac{4}{100}1004(D)0.040.04
Answers
I hope this helps and 24 is my fav number because that’s how old brother was when someone m**dered in front of my face
Me next :):):)
6. What might be the opportunity cost of a large portion of your income going toward credit
card payments each month?
Answers
CAN SOMEBODY HELP MEEEE I AM SO BAD AT MATH 5 to the power for 7 times 15 minus 8 minus 5
Answers
= 1171862
Answer:
[tex]1,171,862[/tex]
Step-by-step explanation:
Original equation: [tex]5^7 * 15-8-5[/tex]
Remember the PEMDAS rule --> in this case the exponents are first.
[tex]5^7[/tex]= 5*5*5*5*5*5*5 = 78,125
= [tex]78,125*15-8-5[/tex]
The next step to this problem is multiplication because you are starting from left to right and its after the exponents.
= [tex]1,171,875-8-5[/tex]
The last 2 steps is to subtract (from left to right)
= [tex]1,171,867-5[/tex]
= [tex]1,171,862[/tex]
Hope this helps!!!
PLEASE HELP ME!! I’ll give brainliest!!
Rena sells candles. The graph shows the number of candles sold and the
income from the sales. It represents a linear function.
Which statement best describes Rena's income from selling these candles?
A. She gets $6 per candle.
B. She gets $6.50 per candle.
C. She sells 6 candles per dollar.
D. She sells 6.5 candles per dollar.
Answers
Answer:
B.) She gets $6.50 per candle.
Step-by-step explanation:
19.5 (the price of 3 candles) divided by 3 is 6.5.
you find the slope by doing y2-y1 over x2-x1
that becomes 58.5-19.5 over 9-3 which equals 6.5
22. Which line is perpendicular to the line
shown on the graph?
-
-
A. x + 2y = -14
B. x – 2y = 10
C. 2x + y = -1
D. 2x - y = 6
Answers
Answer:
C DID THE TEST
Step-by-step explanation:
YOU WILL DO YOU GOOD LUCK
WILL GIVE BRAINLIEST!!!
Distributive property quick check. Simplify: 1/2 (6z+10). Simplify: 10(5+2x). Simplify: 3(5y+6)-4. Simplify: (3a+2)(4).
Answers
Answer:
1: 3z+5
2: 50+20x
3: (15y+18)-4
4: 12a+8