Answers
Answer:
The length of [tex]\overline{JO}[/tex] is 48.
Step-by-step explanation:
A square is a quadrilateral whose four sides have the same length and four internal angles have the same measure. The sum of measures of internal angles in quadrilaterals equals 360°. Let [tex]m\,\angle BOJ = 4\cdot x -6[/tex] and [tex]BO = 2\cdot x - 8[/tex], the value of [tex]x[/tex] is:
[tex]4\cdot (4\cdot x - 6) = 360^{\circ}[/tex]
[tex]16\cdot x -24 = 360^{\circ}[/tex]
[tex]16\cdot x = 384^{\circ}[/tex]
[tex]x = 24[/tex]
And the length of [tex]JO[/tex] is:
[tex]JO = BO = 2\cdot x - 8[/tex]
[tex]JO = 40[/tex]
The length of [tex]\overline{JO}[/tex] is 48.
Related Questions
Help please full answer!!
The temperature change in a chemistry experiment was –2 C every 30 min. The initial temperature was 6 C. What was the temperature after 4 h?
Answers
Answer:
4 hours/30 min=12
-2*12=-24
6-24=-18
-18°C
Step-by-step explanation:
solve for x. help please
Answers
Answer:
x=6
Step-by-step explanation:
[tex]\frac{9}{3} =\frac{6}{2}[/tex]
The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal size. A shade for the window will extend 4 inches beyond the perimeter of the window, shown by the dashed line around the window. Each square in the window has an area of 169 in2. Round your answers to the nearest whole number.
Answers
Answer:
[tex](a)\ Area = 3765.32[/tex]
[tex](b)\ Area = 4773[/tex]
Step-by-step explanation:
Given
[tex]A_1 = 169in^2[/tex] --- area of each square
[tex]Shade = 4in[/tex]
See attachment for window
Solving (a): Area of the window
First, we calculate the dimension of each square
Let the length be L;
So:
[tex]L^2 = A_1[/tex]
[tex]L^2 = 169[/tex]
[tex]L = \sqrt{169[/tex]
[tex]L=13[/tex]
The length of two squares make up the radius of the semicircle.
So:
[tex]r = 2 * L[/tex]
[tex]r = 2*13[/tex]
[tex]r = 26[/tex]
The window is made up of a larger square and a semi-circle
Next, calculate the area of the larger square.
16 small squares made up the larger square.
So, the area is:
[tex]A_2 = 16 * 169[/tex]
[tex]A_2 = 2704[/tex]
The area of the semicircle is:
[tex]A_3 = \frac{\pi r^2}{2}[/tex]
[tex]A_3 = \frac{3.14 * 26^2}{2}[/tex]
[tex]A_3 = 1061.32[/tex]
So, the area of the window is:
[tex]Area = A_2 + A_3[/tex]
[tex]Area = 2704 + 1061.32[/tex]
[tex]Area = 3765.32[/tex]
Solving (b): Area of the shade
The shade extends 4 inches beyond the window.
This means that;
The bottom length is now; Initial length + 8
And the height is: Initial height + 4
In (a), the length of each square is calculated as: 13in
4 squares make up the length and the height.
So, the new dimension is:
[tex]Length = 4 * 13 + 8[/tex]
[tex]Length = 60[/tex]
[tex]Height = 4*13 + 4[/tex]
[tex]Height = 56[/tex]
The area is:
[tex]A_1 = 60 * 56 = 3360[/tex]
The radius of the semicircle becomes initial radius + 4
[tex]r = 26 + 4 = 30[/tex]
The area is:
[tex]A_2 = \frac{3.14 * 30^2}{2} = 1413[/tex]
The area of the shade is:
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 3360 + 1413[/tex]
[tex]Area = 4773[/tex]
Shirley is saving money to buy a computer.
• The computer she will buy costs $1,200.00
• She has already saved $300.00
Shirley will save $60.00 per week until she has enough money to buy
the computer.
Answers
Answer:
It will take her 15 weeks to have enough money for the computer.
Step-by-step explanation:
$1200 - $300 = $900
900 divided by 60 gives you 15
Therefor, it'll take Shirley 15 weeks to save $1200.
HELP!!!!! Question in picture!!!!
Answers
Answer:
x = 29
Step-by-step explanation:
We know that those two angles equal 180° so we combine those two equations and set them equal to 180°:
6x + 6 = 180°
Subtract 6 from both sides:
6x = 174°
Divide by 6:
x = 29
Thomas walks 10 miles in 120 minutes. Select all of the unit rates below that
describe Thomas' walk. Show your work.
a) He can walk 1 mile in 12 minutes
b) He can walk 12 miles in 1 minute
c) He can walk of a mile in 1 minute
1
d) it takes him of a minute to walk 1 mile
12
12
Answers
Answer:
Hi! The answer to your question is B) He can walk 12 miles in 1 minute.
To find Unit rate divide the biggest number by the smallest; Example: [tex]120/10[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
A board game has a spinner divided into sections of equal size(10). Each section is labeled a number between 1-5. Which number is a reasonable estimate of the number of spins on a section labeled 5 over the course of 150 spins?
A(15)
B(25)
C(40)
D(60)
Answers
Explain me how to get the answer plsss
Answers
348.1 = 331.3 + 0.6T
subtract 331.3 from both sides
17 = 0.6T
Divide 0.6 from both sides
28.3 (rounded) = T
28 degrees Celsius is the closest answer
please help me .......
Answers
Evaluate x^4.x^2 when x=5
Answers
Answer:
i got u fam!!!!!!!!!!!!!!!
its 15625
Step-by-step explanation:
3.
Convert the recurring decimal to fraction
A) 1.45°
Answers
Answer:
A
Step-by-step explanation:
Kora and Wallace planted a garden bed the size of the red square. How big is their garden bed? (Finding the area)
Answers
Answer: no sol
Step-by-step explanation:
bro there is no pic to do so im just going to say...
find the missing side x
Answers
Answer:
[tex]\sqrt{968}[/tex]
Step-by-step explanation:
Since this is a right triangle, we are able to use pythagorean theorem, a^2+b^2=c^2. In this case x would be the "c", so 22^2+22^2=x^2. Isolate the variable and solve for x. 484+484=x^2
968=x^2
[tex]\sqrt{968\\}[/tex]=x
Find the sum of all angles of the quadrilateral if sides are in ratio 2:3:6:9
Answers
2 =
3 =
6 : 9 =
Step-by-step explanation:
Here are some solutions! Hope this helps.
-Lei
A recipe needs tablespoon salt
This same recipe is made 5 times.
How much total is needed?
Answers
Answer: c) 1 1/4
Step-by-step explanation: you do 1/4 times 5 .You make 5 a fraction which is 5/1.So now you do 1/4 times 5/1 which is 5/4.And you change it to a mixed number which is 1 1/4.
What is the probability of getting a number greater than or equal to 5 when rolling a number cube numbered 1 to 6?
Answers
Answer:
There is a 1/3 (or 0.33%) probability of rolling a number greater than or equal to 5.
Step-by-step explanation:
First, find what numbers are greater than or equal to 5:
5 and 6
Find what options you can get on a number cube:
1, 2, 3, 4, 5, and 6
Out of the 6 possible outcomes, there are only 2 that will get a number greater than or equal to 5. Write this as a fraction:
2/6
Simplify:
1/3
Which system of equations has only one solution?
A
y=x+5 and y=-3x+6
B
y=x-2 and y=x+4
C
y= |x - 5| and y = 0.2x+1
D
y = x^2-1 and y=1.5x + 1
Answers
Answer:
A
Step-by-step explanation:
option A has two linear equations that intersect at one point
option B has two linear equations that are parallel and do not intersect
option C has one linear equation and an absolute value equation that intersect at two points
option D has one linear equation and a quadratic equation that intersect at two points
Plz help I’ll give brainliest
Answers
Answer:
1. y = 2x + 5
2. (-5) + 3 + (-8) = 3 - 5 - 8 = 3 - 13 = -10
3. given: 1/2, 3/4, 7/8, 0.55, 0.1
1/2, 3/4, 7/8 = 4/8, 6/8, 7/8
4/8 < 6/8 < 7/8
1/2 < 3/4 < 7/8
0.55 = 55/100 = 11/20
0.1 = 1/10 = 2/20
2/20 < 11/20
0.1 < 0.55
1/2 = 10/20
2/20 < 10/20 < 11/20
0.1 < 1/2 < 0.55
3/4 = 15/20
11/20 < 15/20
0.55 < 3/4
thus
0.1 < 1/2 < 0.55 < 3/4 < 7/8
1. What is the domain of
f (x)= 9 - x?
Answers
Answer:
theres no answer
Step-by-step explanation:
Suppose () = 1/8 for 0 ≤ ≤ 4 for x being a continuous random variable Is () a probability density function? Prove or disprove.
Answers
Answer:
The expected value of x ; E(x) = 1
Step-by-step explanation:
F(x) = 1/8 for 0 ≤ x ≤ 4
To prove that it is a probability density function we will find E(x )
attached below is the required prove
It is proven that F(x) = 1/8 for 0 ≤ x ≤ 4 is probability density function
The expected value of X = 1
2) Michael decides to go for a cycle ride. He rides a
distance of 80 km at an average speed of 24 km/h.
Work out how long Michael’s ride takes
Answers
Step-by-step explanation:
REMEMBER D/S×T (triangle)
therefore, finding time
D/S
80/24
make sure to press the degrees button on your calculator
3 hours and 20 minutes
100 - x2 + 15, cuando x = 9
Answers
Explanation 100 - x2 + 15 X = 9
100 - (9) 2 + 15
100 - 18+15
100- 33
67
Need help on this one too
Answers
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem. The hypotenuse, 14 square should be equal to the sum of x squared + 10 squared.
14^2 = 196
10^2 = 100.
So, 196 = 100 + x^2
[tex]x = \sqrt{96}[/tex]
Use the Pythagorean Theorem to solve it
a^2 + b^2 = c^2
14^2 + 10^2 =c^2
196 + 100 = c^2
196+100=square root 296
Does anyone know the answer so this question
Answers
Step-by-step explanation:
f(3)= -2*3^2 +3 -5
= -2*9 +3 -5
= 16
Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
Answers
Answer:
see explanation
Step-by-step explanation:
Since the marked angles are congruent, let them be x
(6)
The sum of the interior angles of a quadrilateral = 360°
Sum the angles and equate to 360
x + x + 120 + 90 = 360
2x + 210 = 360 ( subtract 210 from both sides )
2x = 150 ( divide both sides by 2 )
x = 75
Then ∠ X = ∠ Y = 75°
---------------------------------------------------------------------
(7)
The sum of the interior angles of a hexagon = 720°
Sum the angles and equate to 720
x + x + 108 + 103 + 149 + 90 = 720
2x + 450 = 720 ( subtract 450 from both sides )
2x = 270 ( divide both sides by 2 )
x = 135
Then ∠ X = ∠ Y = 135°
Answer:
6) x = 75°, y = 75°7) x = 135°, y = 135°Step-by-step explanation:
Sum of the interior angles of a regular polygon:
S(n) = 180°(n - 2), where n- number of sides Exercise 6Quadrilateral has sum of angles:
S(4) = 180°(4 - 2) = 360°Sum the given angles and consider x = y as marked congruent:
2x + 120° + 90° = 360° 2x + 210° = 360° 2x = 360° - 210° 2x = 150°x = 75° and y = x = 75° Exercise 7Hexagon has sum of angles:
S(6) = 180°(6 - 2) = 720°Sum the given angles and consider x = y as marked congruent:
2x + 108° + 103° + 149° + 90° = 720° 2x + 450° = 720° 2x = 720° - 450° 2x = 270°x = 135° and y = x = 135°Kai has 8 pints of buttermilk. He uses 4 ounces of buttermilk in
his receipe for a loaf of bread. How many loaves of bread can he make with the buttermilk that he has?
A. 2 loaves
B. 16 loaves
C. 24 loaves
D. 32 loaves
Answers
Marie charges $8 for a dozen of her pineapple cupcakes. She sold 23 dozen at the street fair yesterday. How much money did
Marie collect?
A) $144
B) $164
C) $184
D) $194
Help please and I’ll I’ve BRAINLIEST
Answers
Answer:
c
Step-by-step explanation:
each dozen cost $8 so do the $8 times the 23 dozen she sold to get the answer
Answer:
C)$184
Step-by-step explanation:
8 times 23=$184
plz can i get brainliest:)
A die is rolled 100 times. A 1 is rolled 20 times, a 2 is rolled 14 times, a 3 was rolled 20 times, a 4 was rolled 15 times a 5 was rolled 19 times, and a 6 was rolled 12 times.
a) What is the experimental probability of rolling a 6?
b) What is the theoretical probability of rolling a 6?
Answers
Answer:
A) Experimental probability = 0.12
B) Theoretical probability = 1/6
Step-by-step explanation:
A) Experimental probability is based on the total number of times an event occurs with respect to the total outcome of the experiment in question.
Now, we are told that the die was rolled 100 times and that 6 was gotten 12 times for the 100 rolls.
Thus;
Experimental probability = 12/100
Experimental probability = 0.12
B) Theoretical probability is the number of ways that an event can occur in relation to the total outcomes.
Here, the number of ways 6 can occur is 1 and the total outcome is 6 possible due numbers.
Thus,
Theoretical probability = 1/6
convert 123 percent into fraction
Answers
Answer: 123/100
1. 123% means 123 out of 100
1.23 is a decimaland 123/100 OR 123% is the percentage for 123/100.
HOW TO WRITE 123/100 AS A DECMAL?
Step-by-step explanation:
Fraction=123/101
Decmial=1.21782
percentage=121.782%
Right will be marked brainlist
Answers
Answer:
the answer is 3,107.21
The answer to that question is that one